Cohen v. Brown University ( 1996 )


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  • UNITED STATES COURT OF APPEALS
    UNITED STATES COURT OF APPEALS
    FOR THE FIRST CIRCUIT
    FOR THE FIRST CIRCUIT
    No. 95-2205
    AMY COHEN, ET AL.,
    Plaintiffs - Appellees,
    v.
    BROWN UNIVERSITY,
    Defendants - Appellants.
    ERRATA SHEET
    The  opinion of this Court  issued on November  21, 1996, is
    amended as follows:
    On  page 9,  line 15,  replace  "women.   Id. at  981." with
    "women, id. at 981.".
    On page 10, line 18, delete extra space between "sports" and
    "--".
    On page 11, line 9, delete "id.,".
    On  page 11, line 12, delete "totals," id." and replace with
    "totals."  Id.".
    On page 11, line 16, delete "id.,".
    On  page  15,  line  36,  delete  "then"  and  replace  with
    "former".
    On page 24, line 13, insert comma after "and".
    On page 26, line 14, delete "mere" and replace with "bare".
    On page 38,  line 17, insert "for women" between "treatment"
    and "by".
    On page 42, line 18, replace "to women" with "for women".
    On page 43, line 8, delete "Cf." and replace it with "See".
    On   page   47,   line    7,   delete   "athletics"   before
    "opportunities".
    On page 55, lines 9 and 10, delete "in varsity competition,"
    and replace it with "at the varsity level,".
    On page 59, line 19, delete "(1989)".
    On page 62, line 5, delete "(1973)".
    On page 62, line 6, delete "(1989)".
    On page 64, lines  28 and 29, replace "is  merely" with "is,
    in effect,".
    On page 65,  line 21,  insert "as it  applies to  athletics"
    between "Title IX" and "is".
    On  page 68, line 2,  insert a new  paragraph beginning with
    "Brown first contends".
    On  page 68, line 9,  insert a new  paragraph beginning with
    "Brown also suggests".
    On page 79, line 22, replace "Court" with "court".
    On page 80, lines 3 and 6, replace "Court" with "court".
    On page 86, lines 5 and 13, replace "Court" with "court".
    On  page 88,  line 22, cite  to the  C.F.R. should  be:  "34
    C.F.R.   106.41(b) (1995)".
    On page 89, replace text on line 1 with: "one  sex, however,
    and where  "athletic opportunities for  members of that  sex have
    previously  been limited,  members of  the excluded  sex must  be
    allowed to".
    On  page 89, lines 11-15:   Delete two sentences:  "When the
    university  chooses a  non-contact sport,  34 C.F.R.    106.41(b)
    requires  that the school sponsors  one team for  each gender, or
    allow both sexes to try-out.  If the university chooses a contact
    sport, however, try-outs can be restricted to one sex.".
    On page 89, line 17, delete "hockey".
    On   page   95,  last   line,   delete   comma  after   "the
    interpretation chosen".
    On page 96, line 10, replace "Appellees" with "appellees".
    On page 98, line 17, replace "Appellees" with "appellees".
    On page 100, line  19, replace "Appellees" with "appellees".
    On  page  101, lines  8  and  11,  replace "Appellees"  with
    "appellees".
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    On page 103, line 2, replace "Court" with "court".
    On page 104, line 30, replace "female" with "females".
    On page 105, line 18, replace "Court" with "court".
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    UNITED STATES COURT OF APPEALS
    FOR THE FIRST CIRCUIT
    No. 95-2205
    AMY COHEN, ET AL.,
    Plaintiffs - Appellees,
    v.
    BROWN UNIVERSITY, ET AL.,
    Defendants - Appellants.
    APPEAL FROM THE UNITED STATES DISTRICT COURT
    FOR THE DISTRICT OF RHODE ISLAND
    [Hon. Raymond J. Pettine, Senior U.S. District Judge]
    Before
    Torruella, Chief Judge,
    Bownes, Senior Circuit Judge,
    and Stahl, Circuit Judge.
    Joan A.  Lukey and Walter  B. Connolly, Jr., with  whom Hale
    and Dorr, Alison B. Marshall,  Miller, Canfield, Paddock & Stone,
    Beverly E.  Ledbetter, General Counsel, Brown  University, Julius
    C. Michaelson, Jeffrey S.  Michaelson and Michaelson & Michaelson
    were on brief for appellants.
    Martin  Michaelson, with  whom Amy  Folsom Kett,  Suzanne M.
    Bonnet, Hogan & Hartson L.L.P.  and Sheldon E. Steinbach, General
    Counsel,  American  Council  on  Education,   were  on  brief for
    American   Council  on   Education,   Association   of   American
    Universities,  National Association  of Independent  Colleges and
    Universities,  and National Association of State Universities and
    Land-Grant Colleges, amici curiae.
    George  A. Davidson,  Carla  A. Kerr,  Seth  D. Rothman  and
    Hughes  Hubbard &  Reed on  brief  for Baylor  University, Boston
    University,  Colgate  University,  College  of  the  Holy  Cross,
    Colorado   State   University,   Fairfield   University,   George
    Washington   University,   John  Hopkins   University,  Lafayette
    College, New  York University,  Saint  Peter's College,  Southern
    Methodist University, Tulane  University, University of Arkansas,
    University of Nebraska, University of Notre Dame, and Wake Forest
    University, amici curiae.
    Melinda Ledden Sidak  and Anita  K. Blair on  brief for  The
    Independent Women's Forum, amicus curiae.
    Stephen S. Ostrach,  Todd S. Brilliant and New England Legal
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    Foundation on  brief for  American Baseball  Coaches Association,
    College Swim  Coaches Association of  America, National Wrestling
    Coaching Association and United States Water Polo, amici curiae.
    Lynette  Labinger,  with whom  Roney  &  Labinger, Amato  A.
    DeLuca,  DeLuca &  Weizenbaum, Ltd.,  Raymond Marcaccio,  Blish &
    Cavanagh,  Sandra L. Duggan, Sandra L. Duggan, Esq., P.C., Arthur
    H.  Bryant, Leslie  A. Brueckner,  and Trial  Lawyers  for Public
    Justice, P.C. were on brief for appellees.
    Deborah L. Brake, with whom Marcia D. Greenberger, Judith C.
    Appelbaum  and  National Women's  Law  Center were  on  brief for
    National Women's Law  Center, American Association  of University
    Women/AAUW Legal Advocacy  Fund, American  Civil Liberties  Union
    Women's Rights Project, California Women's Law Center, Center For
    Women Policy  Studies,  Connecticut Women's  Education and  Legal
    Fund, Equal Rights Advocates, Feminist Majority Foundation, Girls
    Incorporated, National Association for  Girls and Women in Sport,
    National Association  for Women in Education,  National Coalition
    for  Sex  Equity in  Education,  National  Commission on  Working
    Women,  National  Council of  Administrative Women  in Education,
    National Education  Association, National Organization  for Women
    Foundation,  Now  Legal  Defense  and  Education  Fund,  National
    Softball  Coaches  Association,  Northwest  Women's  Law  Center,
    Parents  for  Title IX,  Rhode  Island  Affiliate American  Civil
    Liberties  Union,  Women  Employed,  Women's  Basketball  Coaches
    Association, Women's  Law Project,  Women's  Legal Defense  Fund,
    Women's Sports Foundation, and YWCA of the USA, amici curiae.
    Deval L.  Patrick, Assistant Attorney General, Isabelle Katz
    Pinzler, Deputy Assistant Attorney  General, Dennis J. Dimsey and
    Lisa W. Edwards, Attorneys,  Department of Justice, on brief  for
    the United States, amicus curiae.
    November 21, 1996
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    BOWNES,  Senior Circuit  Judge.   This  is a  class
    BOWNES,  Senior Circuit  Judge.
    action lawsuit charging Brown University, its  president, and
    its   athletics   director   (collectively    "Brown")   with
    discrimination  against  women   in  the  operation   of  its
    intercollegiate athletics program, in  violation of Title  IX
    of  the Education Amendments of 1972,  20 U.S.C.    1681-1688
    ("Title IX"), and its  implementing regulations, 34 C.F.R.
    106.1-106.71.    The plaintiff  class comprises  all present,
    future, and  potential  Brown University  women students  who
    participate, seek  to participate, and/or  are deterred  from
    participating in intercollegiate athletics funded by Brown.
    This suit was initiated in response to the demotion
    in  May 1991  of  Brown's women's  gymnastics and  volleyball
    teams  from university-funded varsity  status to donor-funded
    varsity status.   Contemporaneously, Brown demoted two  men's
    teams, water polo and  golf, from university-funded to donor-
    funded varsity status.  As a consequence  of these demotions,
    all four teams lost,  not only their university funding,  but
    most of the support and privileges that accompany university-
    funded varsity status at Brown.
    Prior  to the trial on the merits that gave rise to
    this appeal, the  district court  granted plaintiffs'  motion
    for class  certification  and denied  defendants'  motion  to
    dismiss.    Subsequently,  after  hearing  fourteen  days  of
    testimony,  the district court granted plaintiffs' motion for
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    a  preliminary  injunction, ordering,  inter  alia,  that the
    women's gymnastics  and  volleyball teams  be  reinstated  to
    university-funded varsity status,  and prohibiting Brown from
    eliminating or reducing the status or funding of any existing
    women's  intercollegiate varsity  team  until  the  case  was
    resolved on the merits.   Cohen v. Brown Univ., 
    809 F. Supp. 978
    , 1001 (D.R.I.  1992) ("Cohen I").  A  panel of this court
    affirmed the district court's decision granting a preliminary
    injunction to the plaintiffs.  Cohen v. Brown Univ., 
    991 F.2d 888
    , 907  (1st Cir.  1993) ("Cohen  II").   In  so doing,  we
    upheld  the  district  court's  analysis and  ruled  that  an
    institution   violates   Title   IX   if   it   ineffectively
    accommodates  its  students'   interests  and  abilities   in
    athletics  under 34 C.F.R.    106.41(c)(1) (1995), regardless
    of its performance with respect to other Title IX areas.  
    Id. at 897
    .
    On remand,  the district court  determined after  a
    lengthy  bench trial  that Brown's  intercollegiate athletics
    program  violates Title  IX and  its  supporting regulations.
    Cohen v. Brown  Univ., 
    879 F. Supp. 185
    ,  214 (D.R.I.  1995)
    ("Cohen III").   The district  court ordered Brown  to submit
    within  120  days a  comprehensive  plan  for complying  with
    Title IX,  but  stayed  that  portion of  the  order  pending
    appeal.   
    Id.
        The  district court  subsequently  issued  a
    modified order,  requiring Brown to submit  a compliance plan
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    within 60 days.  Modified Order of May 4, 1995.   This action
    was taken to ensure  that the Order was "final"  for purposes
    of  this court's  jurisdiction,  and to  expedite the  appeal
    process.  
    Id.
      Finding that Brown's proposed compliance  plan
    was not comprehensive and  that it failed to comply  with the
    opinion  and order of Cohen III,  the district court rejected
    the plan and  ordered in its place specific relief consistent
    with  Brown's  stated  objectives  in formulating  the  plan.
    Order of August 17, 1995  at 11.  The court's remedial  order
    required Brown  to elevate and  maintain at university-funded
    varsity status the  women's gymnastics, fencing,  skiing, and
    water polo teams.  Id. at 12.  The  district court's decision
    to  fashion specific  relief  was  made,  in part,  to  avoid
    protracted  litigation  over  the   compliance  plan  and  to
    expedite the appeal  on the issue  of liability.  Id.  at 11.
    The district  court  entered final  judgment on  September 1,
    1995,  and on September  27, 1995, denied  Brown's motion for
    additional  findings of fact and to amend the judgment.  This
    appeal followed.
    Brown  claims error in  certain evidentiary rulings
    made  during the trial and  in the district  court's order of
    specific relief in place of Brown's proposed compliance plan.
    In addition, and as in  the previous appeal, Brown challenges
    on constitutional and statutory  grounds the test employed by
    the   district   court   in   determining   whether   Brown's
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    intercollegiate athletics program complies with Title IX.  In
    the  first  appeal, a  panel  of  this  court elucidated  the
    applicable legal  framework, upholding the  substance of  the
    district court's interpretation and application of the law in
    granting  plaintiffs' motion  for a  preliminary injunction,1
    and  rejecting essentially  the  same  legal arguments  Brown
    makes here.
    Brown contends  that we  are free to  disregard the
    prior  panel's explication of the  law in Cohen  II.  Brown's
    efforts to circumvent the controlling effect  of Cohen II are
    unavailing,  however,  because, under  the  law  of the  case
    doctrine,  we are bound in  this appeal, as  was the district
    court on  remand, by the prior panel's rulings of law.  While
    we acknowledge that the  law of the case doctrine  is subject
    to  exceptions, we conclude that none  applies here, and that
    the  decision rendered by the prior panel in the first appeal
    is not,  as Brown claims, "legally  defective."  Accordingly,
    we decline Brown's invitation  to undertake plenary review of
    issues decided in the  previous appeal and treat Cohen  II as
    controlling authority, dispositive of  the core issues raised
    here.
    1.  The prior  panel upheld  the district court's  rulings in
    all respects save one.  We held that the district court erred
    in placing upon Brown  the burden of proof under  prong three
    of  the   three-part  test  used  to   determine  whether  an
    intercollegiate athletics  program  complies with  Title  IX,
    discussed infra.  Cohen II, 
    991 F.2d at 903
    .
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    We find  no error  in the district  court's factual
    findings  or in its interpretation and application of the law
    in determining that Brown violated  Title IX in the operation
    of its  intercollegiate  athletics  program.    We  therefore
    affirm  in all  respects  the district  court's analysis  and
    rulings  on the  issue of  liability.   We do,  however, find
    error in the  district court's award  of specific relief  and
    therefore  remand   the  case  to  the   district  court  for
    reconsideration of the remedy in light of this opinion.
    I.
    I.
    The   relevant   facts,   legal   principles,   and
    procedural  history  of this  case  have  been set  forth  in
    exhaustive  detail in  the previous  opinions issued  in this
    case.  Thus, we recite the  facts as supportably found by the
    district court in the course of the bench trial on the merits
    in a somewhat abbreviated fashion.
    As  a Division  I  institution within  the National
    Collegiate  Athletic Association ("NCAA") with respect to all
    sports but football, Brown  participates at the highest level
    of NCAA competition.2  Cohen III, 
    879 F. Supp. at 188
    .  Brown
    operates a two-tiered  intercollegiate athletics program with
    respect to  funding:   although Brown provides  the financial
    resources required to maintain its  university-funded varsity
    2.  Brown's  football team  competes  in  Division I-AA,  the
    second  highest level of NCAA competition.  Cohen III, 
    879 F. Supp. at
    188 n.4.
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    teams,  donor-funded varsity  athletes must  themselves raise
    the funds  necessary to  support their teams  through private
    donations.   
    Id. at 189
    .   The district court noted  that the
    four  demoted  teams  were  eligible  for  NCAA  competition,
    provided  that they were able to raise the funds necessary to
    maintain a sufficient level  of competitiveness, and provided
    that they continued to comply with NCAA requirements.  
    Id.
     at
    189 n.6.  The  court found, however, that it is difficult for
    donor-funded   varsity  athletes  to   maintain  a  level  of
    competitiveness  commensurate with  their abilities  and that
    these athletes  operate  at  a  competitive  disadvantage  in
    comparison  to university-funded  varsity athletes.    
    Id. at 189
    .  For example, the district court found that some schools
    are reluctant to include  donor-funded teams in their varsity
    schedules3 and  that donor-funded teams are  unable to obtain
    varsity-level  coaching,  recruits,  and  funds  for  travel,
    equipment, and post-season competition.  
    Id. at 189-90
    .
    Brown's decision  to demote the  women's volleyball
    and  gymnastics teams and the men's water polo and golf teams
    from university-funded varsity status  was apparently made in
    response to a university-wide  cost-cutting directive.  Cohen
    I, 
    809 F. Supp. at 981
    .  The district court  found that Brown
    3.  Two schools  declined to include Brown  in future varsity
    schedules when women's volleyball was demoted to donor-funded
    status.  Cohen II, 
    991 F.2d at
    892 n.2; Cohen I, 
    809 F. Supp. at 993
    .
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    saved $62,028 by  demoting the women's  teams and $15,795  by
    demoting the  men's teams,  but that the  demotions "did  not
    appreciably affect the  athletic participation gender ratio."
    Cohen III at 187 n.2.
    Plaintiffs  alleged   that,  at  the  time  of  the
    demotions,  the men  students  at Brown  already enjoyed  the
    benefits  of a  disproportionately  large share  of both  the
    university  resources   allocated   to  athletics   and   the
    intercollegiate   participation  opportunities   afforded  to
    student athletes.  Thus, plaintiffs contended, what  appeared
    to  be the even-handed demotions of two men's and two women's
    teams, in fact,  perpetuated Brown's discriminatory treatment
    of  women  in  the   administration  of  its  intercollegiate
    athletics program.       In  the  course  of the  preliminary
    injunction  hearing, the  district court  found that,  in the
    academic   year  1990-91,  Brown  funded  31  intercollegiate
    varsity  teams, 16 men's teams and 15 women's teams, Cohen I,
    
    809 F. Supp. at 980
    , and  that,  of the  894 undergraduate
    students competing on these  teams, 63.3% (566) were  men and
    36.7% (328) were women, 
    id. at 981
    .  During the same academic
    year,  Brown's  undergraduate   enrollment  comprised   52.4%
    (2,951) men and 47.6% (2,683) women.  
    Id.
      The district court
    also summarized  the history of athletics  at Brown, finding,
    inter alia, that, while nearly all of the men's varsity teams
    were established  before 1927,  virtually all of  the women's
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    varsity  teams  were created  between  1971  and 1977,  after
    Brown's  merger with Pembroke College.  
    Id.
      The only women's
    varsity team created  after this period was  winter track, in
    1982.  
    Id.
    In  the course  of  the trial  on  the merits,  the
    district  court  found  that,  in  1993-94,  there  were  897
    students participating in intercollegiate  varsity athletics,
    of which 61.87% (555)  were men and 38.13% (342)  were women.
    Cohen  III, 
    879 F. Supp. at 192
    .   During the  same period,
    Brown's undergraduate enrollment comprised 5,722 students, of
    which  48.86% (2,796) were men and 51.14% (2,926) were women.
    
    Id.
       The  district  court found  that,  in 1993-94,  Brown's
    intercollegiate athletics  program consisted of 32  teams, 16
    men's teams  and 16 women's teams.   
    Id.
      Of  the university-
    funded  teams, 12 were men's teams and 13 were women's teams;
    of the donor-funded  teams, three were women's teams and four
    were men's teams.  
    Id.
       At the time of trial,  Brown offered
    479  university-funded varsity positions for men, as compared
    to 312 for women;  and 76 donor-funded varsity  positions for
    men, as  compared to 30 for women.   
    Id. at 211
    .  In 1993-94,
    then, Brown's  varsity program -- including  both university-
    and donor-funded  sports -- afforded over  200 more positions
    for  men than  for  women.   
    Id. at 192
    .   Accordingly,  the
    district court found that Brown maintained a 13.01% disparity
    between female participation in intercollegiate athletics and
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    female student enrollment,  
    id. at 211
    , and that  "[a]lthough
    the number of  varsity sports  offered to men  and women  are
    equal,  the  selection  of  sports  offered  to  each  gender
    generates far  more individual  positions  for male  athletes
    than for female athletes," 
    id. at 189
    .
    In  computing  these  figures, the  district  court
    counted  as participants  in  intercollegiate  athletics  for
    purposes of Title IX analysis those athletes who were members
    of  varsity  teams  for the  majority  of  the  last complete
    season.  
    Id. at 192
    .  Brown argued at trial that "there is no
    consistent measure of actual participation rates because team
    size varies throughout the  athletic season," and that "there
    is  no  consistent  measure  of  actual  participation  rates
    because  there are  alternative definitions  of 'participant'
    that   yield  very   different  participation   totals."  
    Id.
    Reasoning that "[w]here both  the athlete and coach determine
    that  there is a place  on the team for a  student, it is not
    for this  Court to second-guess their judgment and impose its
    own, or anyone  else's, definition of  a valuable or  genuine
    varsity  experience,"  the  district  court   concluded  that
    "[e]very  varsity   team  member   is  therefore   a  varsity
    'participant.'"  
    Id.
     (original  emphasis omitted).  Thus, the
    district court held that
    the "participation opportunities" offered
    by   an   institution  are   measured  by
    counting   the  actual   participants  on
    intercollegiate  teams.    The number  of
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    participants in  Brown's varsity athletic
    program accurately reflects the number of
    participation opportunities  Brown offers
    because   the  University,   through  its
    practices  "predetermines" the  number of
    athletic  positions   available  to  each
    gender.
    
    Id. at 202-03
    .
    The district  court found from  extensive testimony
    that the donor-funded women's gymnastics, women's fencing and
    women's ski teams, as well as at least one women's club team,
    the  water  polo  team,  had demonstrated  the  interest  and
    ability to compete at the top varsity level and would benefit
    from university funding.4  
    Id. at 190
    .
    The  district  court did  not  find  that full  and
    effective   accommodation  of  the  athletics  interests  and
    abilities  of  Brown's  female  students  would  disadvantage
    Brown's male students.
    II.
    II.
    Title IX  provides that "[n]o person  in the United
    States  shall,   on  the  basis  of  sex,  be  excluded  from
    participation in, be denied the benefits  of, or be subjected
    to  discrimination under  any education  program or  activity
    receiving  Federal  financial  assistance."   20  U.S.C.A.
    4.  The district court noted that "there may be other women's
    club sports  with sufficient interest and  ability to warrant
    elevation  to varsity  status," but  that plaintiffs  did not
    introduce  at trial  substantial  evidence demonstrating  the
    existence of  other women's club teams  meeting the criteria.
    Cohen III, 
    879 F. Supp. at
    190 n.14.
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    1681(a) (West 1990).  As a  private institution that receives
    federal financial  assistance,  Brown is  required to  comply
    with Title IX.
    Title   IX  also  specifies  that  its  prohibition
    against gender  discrimination shall  not "be interpreted  to
    require any educational institution  to grant preferential or
    disparate treatment to the  members of one sex on  account of
    an  imbalance which may  exist" between  the total  number or
    percentage  of  persons  of  that sex  participating  in  any
    federally  supported  program  or  activity,  and  "the total
    number or percentage of persons of that sex in any community,
    State,  section, or other area."  20 U.S.C.A.   1681(b) (West
    1990).  Subsection (b) also provides, however, that it "shall
    not be  construed to prevent the  consideration in any .  . .
    proceeding under this chapter of statistical evidence tending
    to show that  such an  imbalance exists with  respect to  the
    participation  in, or receipt  of the  benefits of,  any such
    program or activity by the members of one sex."  
    Id.
    Applying   1681(b), the prior panel held that Title
    IX "does  not mandate  strict numerical equality  between the
    gender balance of a college's athletic program and the gender
    balance of  its student body."   Cohen  II, 
    991 F.2d at 894
    .
    The panel  explained that,  while evidence of  a gender-based
    disparity in  an institution's athletics  program is relevant
    to a determination of noncompliance, "a court assessing Title
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    IX compliance may not  find a violation solely  because there
    is  a   disparity  between  the  gender   composition  of  an
    educational  institution's student  constituency, on  the one
    hand, and its athletic programs, on the other hand."   
    Id. at 895
    .
    Congress  enacted  Title  IX  in  response  to  its
    finding -- after extensive hearings held in 1970 by the House
    Special   Subcommittee   on   Education   --   of   pervasive
    discrimination  against  women  with respect  to  educational
    opportunities.  118 Cong.  Rec. 5804 (1972) (remarks  of Sen.
    Bayh); North  Haven Bd. of Educ.  v. Bell, 
    456 U.S. 512
    , 523
    n.13 (1982).
    Title IX  was passed  with two objectives  in mind:
    "to   avoid  the   use  of   federal  resources   to  support
    discriminatory   practices,"   and  "to   provide  individual
    citizens  effective  protection  against   those  practices."
    Cannon  v. University of  Chicago, 
    441 U.S. 677
    , 704 (1979).
    To  accomplish   these  objectives,  Congress   directed  all
    agencies  extending  financial    assistance  to  educational
    institutions to develop procedures for  terminating financial
    assistance to institutions that violate  Title IX.  20 U.S.C.
    1682.
    The  agency responsible for  administering Title IX
    is the United States Department of Education ("DED"), through
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    its  Office for  Civil Rights  ("OCR").5   Congress expressly
    delegated to DED the  authority to promulgate regulations for
    determining whether an athletics program complies with  Title
    IX.    Pub.  L.  No.  93-380,  
    88 Stat. 612
      (1974).6   The
    regulations specifically  address athletics  at 34 C.F.R.
    106.37(c)  and 106.41.  The regulation at issue in this case,
    34 C.F.R.   106.41 (1995), provides:
    (a) General. No person shall, on the
    basis   of   sex,   be    excluded   from
    participation in, be denied  the benefits
    of, be treated  differently from  another
    person  or   otherwise  be  discriminated
    against    in     any    interscholastic,
    intercollegiate,   club   or   intramural
    athletics  offered by a recipient, and no
    recipient   shall    provide   any   such
    athletics separately on such basis.
    (b) Separate teams.  Notwithstanding
    the requirements of paragraph (a) of this
    5.  Agency  responsibility for  administration  of  Title  IX
    shifted from the Department  of Health, Education and Welfare
    ("HEW") to DED when HEW split into two agencies,  DED and the
    Department of Health and Human Services.  The regulations and
    agency documents discussed herein were originally promulgated
    by HEW,  the  administering agency  at  the time,  and  later
    adopted by the present administering agency, DED.  See  Cohen
    II, 
    991 F.2d at 895
    ; Cohen III, 
    879 F. Supp. at
    194-95 n.23.
    For simplicity, we treat DED as the promulgating agency.
    6.   HEW  apparently received an unprecedented 9,700 comments
    on the proposed Title IX athletics regulations, see Haffer v.
    Temple Univ. of the Commonwealth Sys. of Higher Educ., 
    524 F. Supp. 531
    ,  536   n.9   (1981)  (citing   Thomas  A.   Cox,
    Intercollegiate Athletics and Title IX, 
    46 Geo. Wash. L. Rev. 34
    , 40 (1977) ("Cox")), prompting former HEW Secretary Caspar
    Weinberger to remark, "I  had not realized until the  comment
    period that athletics  is the single most  important thing in
    the  United  States," 
    id.
      (citing  Cox at  34,  quoting N.Y.
    Times, June 27, 1975, at 16, col. 4).
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    section,  a  recipient  may   operate  or
    sponsor  separate  teams  for members  of
    each sex where selection of such teams is
    based  upon  competitive  skill   or  the
    activity  involved  is  a contact  sport.
    However,  where  a recipient  operates or
    sponsors a team in a particular sport for
    members  of  one   sex  but  operates  or
    sponsors no  such team for members of the
    other sex, and athletic opportunities for
    members of that  sex have previously been
    limited, members of the excluded sex must
    be   allowed  to  try-out  for  the  team
    offered  unless the  sport involved  is a
    contact sport.  For the  purposes of this
    part,  contact   sports  include  boxing,
    wrestling,  rugby, ice  hockey, football,
    basketball and other  sports the  purpose
    or  major  activity  of   which  involves
    bodily contact.
    c)   Equal Opportunity.  A recipient
    which      operates      or      sponsors
    interscholastic, intercollegiate, club or
    intramural athletics  shall provide equal
    athletic opportunity for members  of both
    sexes.    In  determining  whether  equal
    opportunities are  available the Director
    will consider, among other factors:
    (1)  Whether the selection of sports
    and  levels  of  competition  effectively
    accommodate  the interests  and abilities
    of members of both sexes;
    (2) The provision  of equipment  and
    supplies;
    (3) Scheduling of games and practice
    time;
    (4) Travel and per diem allowance;
    (5) Opportunity  to receive coaching
    and academic tutoring;
    (6) Assignment  and compensation for
    coaches and tutors;
    (7)   Provision  of   locker  rooms,
    practice and competitive facilities;
    (8)   Provision   of   medical   and
    training facilities and services;
    (9) Provision of housing  and dining
    facilities and services;
    (10) Publicity.
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    In  the  first  appeal,   this  court  held  that  an
    institution's failure  effectively  to accommodate  both  genders
    under    106.41(c)(1) is sufficient  to establish a  violation of
    Title IX.  Cohen II, 
    991 F.2d at 897
    .
    In 1978, several years  after the promulgation of the
    regulations,  OCR published  a proposed  "Policy Interpretation,"
    the  purpose of which was  to clarify the  obligations of federal
    aid recipients under Title IX  to provide equal opportunities  in
    athletics  programs.  "In  particular, this Policy Interpretation
    provides a means to  assess an institution's compliance  with the
    equal opportunity  requirements of  the regulation which  are set
    forth  at [34 C.F.R.    106.37(c)  and 106.41(c)]."  44 Fed. Reg.
    at  71,415.  After considering a large number of public comments,
    OCR  published the  final Policy  Interpretation.   
    44 Fed. Reg. 71,413
    -71,423  (1979).   While  the Policy  Interpretation covers
    other  areas,   this   litigation  focuses   on  the   "Effective
    Accommodation"   section,   which   interprets   34    C.F.R.
    106.41(c)(1), the first of the non-exhaustive list of ten factors
    to  be   considered  in   determining  whether  equal   athletics
    opportunities  are  available  to   both  genders.    The  Policy
    Interpretation establishes  a three-part  test, a  two-part test,
    and factors  to be considered in determining  compliance under 34
    C.F.R.    106.41(c)(1).  At  issue in this  appeal is  the proper
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    interpretation of  the first  of these, the  so-called three-part
    test,7 which inquires as follows:
    (1)  Whether  intercollegiate  level
    participation opportunities  for male and
    female students are  provided in  numbers
    substantially   proportionate  to   their
    respective enrollments; or
    (2)  Where  the  members of  one sex
    have been and are  underrepresented among
    intercollegiate  athletes,   whether  the
    institution  can  show   a  history   and
    continuing practice  of program expansion
    which is demonstrably  responsive to  the
    developing interest and abilities  of the
    members of that sex; or
    (3)  Where  the  members of  one sex
    are         underrepresented        among
    intercollegiate    athletes,   and    the
    institution  cannot   show  a  continuing
    practice  of  program  expansion such  as
    that  cited  above,  whether  it  can  be
    demonstrated   that  the   interests  and
    abilities of the members of that sex have
    been  fully and  effectively accommodated
    by the present program.
    44 Fed. Reg. at 71,418.
    The   district  court   held  that,   "because  Brown
    maintains  a 13.01%  disparity  between female  participation  in
    intercollegiate  athletics  and  female  student  enrollment,  it
    cannot gain  the protection  of prong  one."   Cohen III, 
    879 F. Supp. at 211
    .    Nor  did  Brown  satisfy  prong  two.    While
    acknowledging that  Brown "has  an impressive history  of program
    expansion,"  the  district  court  found  that  Brown  failed  to
    7.  For clarification, we note  that the cases refer  to each
    part of this three-part  test as a "prong" or  a "benchmark."
    Prong  one is  also  called the  "substantial proportionality
    test."
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    demonstrate  that it  has  "maintained a  continuing practice  of
    intercollegiate program expansion for women, the underrepresented
    sex."  
    Id.
      The court noted further that, because merely reducing
    program  offerings  to   the  overrepresented  gender   does  not
    constitute program expansion for the underrepresented gender, the
    fact that  Brown has eliminated  or demoted  several men's  teams
    does not amount to a continuing practice of program expansion for
    women.   
    Id.
       As to prong  three, the district  court found that
    Brown had  not "fully  and effectively accommodated  the interest
    and ability of the underrepresented sex  'to the extent necessary
    to provide  equal  opportunity in  the  selection of  sports  and
    levels  of competition available to members of both sexes.'"  
    Id.
    (quoting the Policy Interpretation, 44 Fed. Reg. at 71,417).
    On January  16, 1996,  DED released  a "Clarification
    Memorandum,"  which does  not change  the existing  standards for
    compliance,  but  which  does  provide  further  information  and
    guidelines for  assessing compliance under  the three-part  test.
    The Clarification Memorandum  contains many examples illustrating
    how institutions may meet  each prong of the three-part  test and
    explains how participation opportunities  are to be counted under
    Title IX.
    The district court found that Brown predetermines the
    approximate  number of  varsity  positions available  to men  and
    women,  and, thus, that "the  concept of any  measure of unfilled
    but  available athletic  slots  does not  comport with  reality."
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    Cohen III,  
    879 F. Supp. at
    203  n.36.    The  district  court
    concluded  that  intercollegiate  athletics opportunities  "means
    real opportunities,  not illusory  ones, and therefore  should be
    measured by counting actual participants."  
    Id. at 204
      (internal
    quotation marks and citations omitted).
    Title IX  is an anti-discrimination  statute, modeled
    after Title VI of the Civil Rights Act of 1964, 42 U.S.C.   2000d
    ("Title VI").8   See Cannon,  
    441 U.S. at 696
     ("The drafters  of
    Title IX  explicitly assumed  that it  would  be interpreted  and
    applied as Title VI had been during the preceding eight years.").
    Thus, Title  IX  and  Title  VI  share  the  same  constitutional
    underpinnings.   See Jeffrey H. Orleans,  An End To  The Odyssey:
    Equal Athletic Opportunities  For Women,  3 Duke J.  Gender L.  &
    Pol'y 131, 133-34 (1996).
    Although the statute itself provides  for no remedies
    beyond the termination  of federal funding, the Supreme Court has
    determined  that  Title  IX  is enforceable  through  an  implied
    private  right of  action,  Cannon, 
    441 U.S. at 703
    ,  and  that
    damages  are  available for  an  action brought  under  Title IX,
    Franklin  v. Gwinnett County Pub.  Sch., 
    503 U.S. 60
    , 76 (1992).
    The right to  injunctive relief  under Title IX  appears to  have
    been impliedly accepted by the Supreme Court in Franklin.  
    Id. at 64-66, 71-73
    .  In addition, a majority of the  Court in Guardians
    8.  Title VI  prohibits discrimination on the  basis of race,
    color, or  national origin in  institutions benefitting  from
    federal funds.
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    Ass'n v. Civil  Serv. Comm'n,  
    463 U.S. 582
      (1983), agreed  that
    injunctive  relief and other  equitable remedies  are appropriate
    for violations of Title VI.
    According to the  statute's senate sponsor,  Title IX
    was intended to
    provide   for   the   women  of   America
    something that is rightfully theirs -- an
    equal  chance  to attend  the  schools of
    their choice, to  develop the skills they
    want, and to apply those  skills with the
    knowledge  that they  will  have  a  fair
    chance to secure the jobs of their choice
    with equal pay for equal work.
    118  Cong.  Rec.  5808  (1972)  (remarks  of  Sen. Bayh)  (quoted
    in Haffer, 
    524 F. Supp. at 541
    ).
    III.
    III.
    In Cohen  II, a panel of this court squarely rejected
    Brown's constitutional  and statutory  challenges  to the  Policy
    Interpretation's three-part test, upholding the  district court's
    interpretation   of  the   Title  IX   framework  applicable   to
    intercollegiate athletics, Cohen II, 
    991 F.2d at 899-902
    , as well
    as  its grant  of  a  preliminary  injunction  in  favor  of  the
    plaintiffs, 
    id. at 906-07
    .   Despite the fact  that it  presents
    substantially the  same legal  arguments in  this appeal as  were
    raised  and decided in the prior appeal, Brown asserts that there
    is  "no  impediment"  to this  court's  plenary  review  of these
    decided issues.  We disagree.
    The law  of the case doctrine  precludes relitigation
    of  the legal issues presented  in successive stages  of a single
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    case once those issues have been decided.  See 1B  James W. Moore
    et al.,  Moore's  Federal  Practice     0.404[1]  (2d  ed.  1993)
    (hereinafter  "Moore").   "The doctrine  of the  law of  the case
    directs that a decision of an appellate court on an issue of law,
    unless  vacated  or  set  aside, governs  the  issue  during  all
    subsequent  stages of  litigation  in the  nisi  prius court  and
    thereafter  on any further appeal."  Commercial Union Ins. Co. v.
    Walbrook  Ins. Co.,  
    41 F.3d 764
    , 769  (1st. Cir.  1994) (citing
    United States  v. Rivera-Martinez, 
    931 F.2d 148
     (1st Cir.), cert.
    denied,  
    502 U.S. 862
      (1991)).  The  reviewing court's  mandate
    "constitutes the  law of the case  on such issues of  law as were
    actually considered  and decided  by the  appellate court,  or as
    were  necessarily  inferred  from  the  disposition  on  appeal."
    Commercial Union Ins. Co., 
    41 F.3d at
    770 (citing 1B Moore  at
    0.404[10]).  The  doctrine requires  a trial court  on remand  to
    dispose  of the  case in  accordance with  the  appellate court's
    mandate by implementing "'both  the letter and the spirit  of the
    mandate, taking  into account  the appellate court's  opinion and
    the circumstances it embraces,'" United States v. Connell, 
    6 F.3d 27
    ,  30 (1st Cir. 1993)  (quoting United States  v. Kikumura, 
    947 F.2d 72
    , 76 (3d  Cir. 1991)), and binds newly  constituted panels
    to prior panel decisions on point, e.g., Irving v. United States,
    
    49 F.3d 830
    , 833-34 (1st  Cir. 1995);  Metcalf &  Eddy, Inc.  v.
    Puerto Rico  Aqueduct and Sewer Auth., 
    991 F.2d 935
    , 939 n.3 (1st
    Cir. 1993).
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    While we have acknowledged that  there are exceptions
    to the  law of  the case  doctrine, we have  emphasized that  the
    circumstances in which they apply are  rare.  As have a number of
    other circuits, we have determined that issues decided on  appeal
    should  not be  reopened "'unless  the evidence  on a  subsequent
    trial  was  substantially  different, controlling  authority  has
    since  made a contrary decision of law applicable to such issues,
    or the decision was  clearly erroneous and would work  a manifest
    injustice.'"  Rivera-Martinez, 931  F.2d at 151 (quoting White v.
    Murtha,  
    377 F.2d 428
    ,  432  (5th Cir.  1967))  (other citations
    omitted).
    Brown's  argument  that  the Supreme  Court's  recent
    decision in Adarand Constr., Inc.  v. Pena, --- U.S. ---,  
    115 S. Ct. 2097
      (1995)  ("Adarand"), controls  this  case  necessarily
    presumes that Adarand constitutes a contrary intervening decision
    by  controlling  authority  on  point  that  (i)  undermines  the
    validity of Cohen II; (ii)  compels us to depart from the  law of
    the case doctrine; and (iii) therefore mandates that we reexamine
    Brown's equal protection claim.
    We   have   narrowly   confined    the   "intervening
    controlling authority  exception" to  Supreme Court  opinions, en
    banc opinions  of this court, or statutory  overrulings.  Irving,
    
    49 F.3d at 834
    .  We have also recognized that this exception may
    apply "in  those rare situations where  newly emergent authority,
    although   not  directly   controlling,  nevertheless   offers  a
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    convincing reason for believing that the  earlier panel, in light
    of  the neoteric  developments, would  change  its course."   
    Id.
    (internal quotation marks and citation omitted).
    The  law of the case doctrine is a prudential rule of
    policy   and  practice,   rather   than  "an   absolute  bar   to
    reconsideration []or  a limitation  on a federal  court's power."
    Rivera-Martinez, 931 F.2d at 150-51.  Thus, we have not construed
    the  doctrine  as  "an  inflexible straitjacket  that  invariably
    requires  rigid  compliance."    Northeast Utils.  Serv.  Co.  v.
    Federal  Energy  Regulatory Comm'n,  
    55 F.3d 686
    , 688  (1st Cir.
    1995).   Nevertheless,  the doctrine  serves important  goals and
    must be "treated respectfully and,  in the absence of exceptional
    circumstances, applied according to its tenor."  Rivera-Martinez,
    931  F.2d at  151.   Accordingly, we  have held  that only  a few
    exceptional circumstances can  overcome the  interests served  by
    adherence  to  the doctrine  and  these  exceptions are  narrowly
    circumscribed.    See  id.;  see also  United  States  v. Reveron
    Martinez,  
    836 F.2d 684
    ,  687 n.2 (1st  Cir. 1988) ("To  be sure,
    there may be occasions  when courts can --  and should --  loosen
    the iron grip of stare decisis.  But  any such departure 'demands
    special justification.'")  (quoting Arizona  v. Rumsey,  
    467 U.S. 203
    , 212 (1984)).9
    9.  The law of the case doctrine is "akin to the doctrines of
    collateral estoppel,  res judicata, and stare decisis,"  Joan
    Steinman, Law Of The Case: A Judicial Puzzle  In Consolidated
    And Transferred Cases And In MultiDistrict Litigation, 135 U.
    Penn.  L. Rev.  595, 598-99  (1987) (footnotes  omitted), and
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    For  the reasons  that  follow, we  conclude that  no
    exception  to  the law  of the  case  doctrine applies  here and,
    therefore, that Cohen II's rulings of law control the disposition
    of this appeal.
    Brown contends that stare  decisis does not bind this
    panel  "to the previous preliminary ruling  of this Court because
    it lacks the element of finality," Reply Br. at 24,  and that the
    law of the case  doctrine does not prevent a court from "changing
    its mind," id. at n.47.
    We  acknowledge  that we  have  repeatedly emphasized
    that  conclusions and  holdings  regarding the  merits of  issues
    presented  on appeal from a grant of a preliminary injunction are
    to  be understood as statements  as to probable  outcomes.  E.g.,
    A.M. Capen's Co. v. American Trading  and Prod. Co., 
    74 F.3d 317
    ,
    322  (1st Cir. 1996); Narragansett Indian  Tribe v. Guilbert, 
    934 F.2d 4
    ,  6 (1st  Cir. 1991).   The concern informing  this caveat
    arises when we are asked  to rule on the propriety of  a district
    court's grant of a  preliminary injunction (or otherwise issue  a
    preliminary ruling) without benefit of full  argument and a well-
    "has been said to lie half  way between stare decisis and res
    judicata,"  1B Moore  at    0.404[1] n.3  (internal quotation
    marks  and citation  omitted).   As  applied  in the  federal
    courts today,  the  law of  the  case doctrine  more  closely
    resembles  the  doctrine of  stare decisis.    1B Moore  at
    0.404[1].   Both  doctrines reflect  concerns that  have long
    been recognized as fundamentally important to the rule of law
    -- e.g., stability, predictability, and respect  for judicial
    authority --  and both doctrines  are applied  "with more  or
    less rigidity depending on which interest is served."  
    Id.
     at
    II-2.
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    developed record.  In  this case, however, the record  before the
    prior panel  was "sufficiently developed and  the facts necessary
    to  shape the  proper  legal matrix  [we]re sufficiently  clear,"
    Cohen II, 991 F.2d at 904, and nothing in the record subsequently
    developed  at trial constitutes  substantially different evidence
    that might undermine the validity of the prior panel's rulings of
    law.    In  considering  plaintiffs'  motion  for  a  preliminary
    injunction  in Cohen I,  the district court  (i) "paid meticulous
    attention  to the  parties' prospects  for success over  the long
    haul;" (ii) "plainly visualized  both the factual intricacies and
    legal  complexities that characterize Title IX litigation;" (iii)
    "held a lengthy adversary hearing and reviewed voluminous written
    submissions;"  and  (iv)  "correctly focused  on  the  three-part
    accommodation test."  Cohen II, 991 F.2d at 903.  Further, as the
    district  court noted  in  its opinion  after  the trial  on  the
    merits, "[n]othing in  the record before me, now fully developed,
    undermines  the considered  legal  framework established  by  the
    First Circuit at the  preliminary injunction stage."  Cohen  III,
    
    879 F. Supp. at 194
    .
    Brown offers remarkably little in the way of analysis
    or authority to support its blithe contention that we are free to
    disregard  Cohen II in disposing  of this appeal.   Indeed, Brown
    argues  as if  the  prior  panel  had  not  decided  the  precise
    statutory  interpretation questions  presented (which  it clearly
    did)  and  as if  the  district court's  liability  analysis were
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    contrary  to the law enunciated in  Cohen II (which it clearly is
    not).   Finding Brown's  bare assertions to  be unpersuasive,  we
    decline the invitation  to this court to "change its  mind."  The
    precedent  established   by  the  prior  panel   is  not  clearly
    erroneous; it  is  the law  of  this case  and  the law  of  this
    circuit.
    IV.
    IV.
    Brown  contends that the  district court misconstrued
    and misapplied  the three-part test.   Specifically, Brown argues
    that the  district court's interpretation and  application of the
    test  is irreconcilable with the statute, the regulation, and the
    agency's interpretation of the law, and effectively renders Title
    IX  an "affirmative  action statute"  that mandates  preferential
    treatment  for women  by  imposing quotas  in  excess of  women's
    relative interests and abilities in athletics.  Brown asserts, in
    the alternative,  that if  the district court  properly construed
    the test, then the  test itself violates Title IX and  the United
    States Constitution.
    We  emphasize  two  points  at the  outset.    First,
    notwithstanding Brown's persistent invocation of the inflammatory
    terms "affirmative  action," "preference,"  and "quota,"  this is
    not an affirmative action case.  Second, Brown's efforts to evade
    the controlling authority of Cohen II by recasting its core legal
    arguments as challenges to the "district court's  interpretation"
    of the law are unavailing; the primary arguments raised here have
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    already  been  litigated and  decided adversely  to Brown  in the
    prior appeal.
    A.
    A.
    Brown's   talismanic   incantation  of   "affirmative
    action" has no  legal application to this case and is not helpful
    to Brown's cause.  While "affirmative action" may  have different
    connotations  as a matter  of politics, as  a matter of  law, its
    meaning  is more  circumscribed.   True affirmative  action cases
    have  historically involved a  voluntary10 undertaking  to remedy
    discrimination  (as in  a program  implemented by  a governmental
    body,  or  by a  private employer  or  institution), by  means of
    specific  group-based  preferences  or  numerical  goals,  and  a
    specific timetable  for achieving those goals.   See Adarand, ---
    U.S.  ---, 
    115 S. Ct. 2097
     (1995)  (remanding for  review under
    strict  scrutiny a challenge to a  federal statute establishing a
    government-wide goal for awarding to minority businesses not less
    than  5%  of  the   total  value  of  all  prime   contracts  and
    subcontracts for  each fiscal  year); Metro Broadcasting  v. FCC,
    10.  Cases and  commentators sometimes treat  cases involving
    involuntarily  implemented  plans  --  e.g.,   plans  adopted
    pursuant  to a  consent  decree or  a  contempt order  --  as
    affirmative  action  cases.    See, e.g.,  United  States  v.
    Paradise, 
    480 U.S. 149
      (1987) (upholding  a "one-black-for-
    one-white"  promotion requirement ordered by a district court
    as an interim measure in response to proven discrimination by
    a  state employer); Sheet Metal Workers v. EEOC, 
    478 U.S. 421
    (1986)  (upholding a federal  district court's  imposition on
    the union a goal  for racial minority membership as  a remedy
    for the  union's contempt  of the court's  earlier orders  to
    cease racially discriminatory admissions practices).
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    497 U.S. 547
     (1990) (upholding a  federal program requiring race-
    based preferences); City of Richmond v. J.A. Croson Co., 
    488 U.S. 469
     (1989) (striking down a municipal set-aside program requiring
    that 30% of  the city's  construction dollars be  paid to  racial
    minority  subcontractors   on  an   annual  basis);  Johnson   v.
    Transportation Agency, 
    480 U.S. 616
     (1986) (upholding a temporary
    program authorizing a county  agency to consider sex and  race as
    factors in making promotions in order to  achieve a statistically
    measurable  improvement  in  the  representation  of   women  and
    minorities in major  job classifications in  which they had  been
    historically underrepresented); Wygant  v. Jackson Bd.  of Educ.,
    
    476 U.S. 267
      (1986)  (striking  down  a  collective-bargaining
    faculty  lay-off provision  requiring preferential  treatment for
    certain racial minorities); Fullilove  v. Klutznick, 
    448 U.S. 448
    (1980)  (upholding a  federal program  requiring state  and local
    recipients of federal  public works  grants to set  aside 10%  of
    funds  for procuring  goods and  services from  minority business
    enterprises); United  Steelworkers v. Weber, 
    443 U.S. 193
     (1979)
    (upholding a  collective bargaining agreement that  set aside for
    blacks  half the  places  in a  new  training program  until  the
    percentage  of blacks  among  skilled workers  at  the plant  was
    commensurate  with the  percentage of blacks  in the  local labor
    force);  Regents of  the  Univ. of  Cal. v.  Bakke, 
    438 U.S. 265
    (1978) (striking down a  state medical school's admissions policy
    that set aside 16 of its places for racial minorities).
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    Title IX is not an affirmative  action statute; it is
    an anti-discrimination statute, modeled explicitly  after another
    anti-discrimination statute, Title VI.  No aspect of the Title IX
    regime at issue  in this case  -- inclusive of  the statute,  the
    relevant  regulation,  and  the  pertinent  agency  documents  --
    mandates   gender-based  preferences   or  quotas,   or  specific
    timetables for implementing numerical goals.
    Like other anti-discrimination statutory schemes, the
    Title IX regime permits affirmative action.11  In addition, Title
    IX, like other anti-discrimination schemes, permits an  inference
    that   a  significant  gender-based   statistical  disparity  may
    indicate the  existence of  discrimination.  Consistent  with the
    school   desegregation   cases,  the   question   of  substantial
    proportionality under the Policy Interpretation's three-part test
    11.  As previously noted, Title IX itself specifies only that
    the statute shall not  be interpreted to require gender-based
    preferential or  disparate treatment.   20 U.S.C.    1681(b).
    However, although Congress could easily  have done so, it did
    not ban affirmative action or gender-conscious remedies under
    Title IX.  See also Weber, 
    443 U.S. at 201-02
     (construing the
    prohibition  against  race  discrimination  contained  in
    703(a)  and  (d)  of  Title  VII,  and  concluding  that  "an
    interpretation  of  the  sections  that   forbade  all  race-
    conscious  affirmative   action  would  bring  about  an  end
    completely  at variance with  the purpose of  the statute and
    must be  rejected") (internal  quotation marks  and citations
    omitted); 
    id. at 205-06
     (construing    703(j) of  Title VII,
    upon  which   1681(b) of  Title IX was  based, and concluding
    that "[t]he  natural inference is that Congress  chose not to
    forbid all voluntary race-conscious affirmative action").
    In   addition,   remedial   action  and   voluntary
    affirmative   action  to  overcome   the  effects  of  gender
    discrimination are permitted under  the Title IX regulations,
    34  C.F.R.   106.3, and by the Policy Interpretation, 44 Fed.
    Reg. at 71,416.
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    is  merely  the  starting point  for  analysis,  rather than  the
    conclusion;  a rebuttable presumption,  rather than an inflexible
    requirement.   See, e.g.,  Swann v. Charlotte-Mecklenburg  Bd. of
    Educ.,  
    402 U.S. 1
    ,  25  (1971).    In  short,  the  substantial
    proportionality  test  is but  one  aspect  of the  inquiry  into
    whether an  institution's athletics  program complies  with Title
    IX.
    Also consistent with the school  desegregation cases,
    the  substantial proportionality  test  of prong  one is  applied
    under the Title IX framework, not mechanically, but case-by-case,
    in  a fact-specific  manner.   As with  other anti-discrimination
    regimes, Title  IX neither  mandates a finding  of discrimination
    based solely upon a gender-based statistical disparity, see Cohen
    II,  991 F.2d  at  895, nor  prohibits gender-conscious  remedial
    measures.  See Missouri v. Jenkins, --- U.S. ---, ---, 
    115 S. Ct. 2038
    ,    2048    (1995)    (acknowledging   the    constitutional
    permissibility  of  court-ordered, race-conscious  remedial plans
    designed to  restore victims  of discrimination to  the positions
    they  would  have  occupied  in  the absence  of  such  conduct);
    Fullilove, 
    448 U.S. at 483
     (recognizing that the authority  of a
    federal  court to  incorporate  racial criteria  into a  remedial
    decree  also  extends to  statutory  violations  and that,  where
    federal  anti-discrimination  laws  have  been   violated,  race-
    conscious remedies  may be appropriate);  Weber, 
    443 U.S. at 197
    (holding that Title  VII does not prohibit private employers from
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    voluntarily  implementing  race-conscious  measures to  eliminate
    "manifest  racial  imbalances  in  traditionally  segregated  job
    categories");  McDaniel  v.  Barresi,  
    402 U.S. 39
    ,  41  (1971)
    (recognizing that measures required to remedy race discrimination
    "will almost invariably require"  race-conscious classifications,
    and that "[a]ny other  approach would freeze the status  quo that
    is the very target of all desegregation processes").
    Another  important distinction between  this case and
    affirmative  action cases  is  that the  district court's  remedy
    requiring  Brown   to  accommodate  fully   and  effectively  the
    athletics  interests and abilities of its women students does not
    raise the concerns underlying  the Supreme Court's requirement of
    a   particularized   factual  predicate   to   justify  voluntary
    affirmative  action   plans.    In  reviewing   equal  protection
    challenges to such plans, the Court is concerned  that government
    bodies are  reaching out  to implement race-  or gender-conscious
    remedial measures that are "ageless in their reach into the past,
    and  timeless in their ability to affect the future," Wygant, 
    476 U.S. at 276
    , on  the basis  of facts  insufficient to support  a
    prima  facie case  of  a constitutional  or statutory  violation,
    Croson, 
    488 U.S. at 500
    , to the benefit of  unidentified victims
    of past discrimination, see 
    id. at 469
    ; Wygant, 
    476 U.S. at 276
    .
    Accordingly,  the Court  has  taken the  position that  voluntary
    affirmative  action plans  cannot  be constitutionally  justified
    absent  a  particularized  factual  predicate  demonstrating  the
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    existence of "identified discrimination," see Croson, 
    488 U.S. at 500-06
    , because "[s]ocietal discrimination, without more,  is too
    amorphous  a basis  for imposing  a racially  classified remedy,"
    Wygant, 
    476 U.S. at 276
    .
    From a  constitutional standpoint, the case before us
    is  altogether  different.   Here,  gender-conscious  relief  was
    ordered by  an Article  III court, constitutionally  compelled to
    have  before it  litigants with  standing to  raise the  cause of
    action alleged; for the  purpose of providing relief upon  a duly
    adjudicated   determination   that   specific    defendants   had
    discriminated  against a certified class of women in violation of
    a  federal anti-discrimination  statute; based  upon  findings of
    fact  that were  subject to the  Federal Rules of  Evidence.  The
    factual problem  presented in affirmative action  cases is, "Does
    the evidence support a finding of discrimination such  that race-
    or gender-conscious remedial measures  are appropriate?"  We find
    these  multiple  indicia of  reliability  and  specificity to  be
    sufficient to answer that question in the affirmative.
    From  the  mere fact  that  a remedy  flowing  from a
    judicial determination of discrimination is  gender-conscious, it
    does not follow that the remedy constitutes "affirmative action."
    Nor  does a  "reverse discrimination" claim  arise every  time an
    anti-discrimination statute  is  enforced.   While  some  gender-
    conscious relief may adversely  impact one gender -- a  fact that
    has not  been demonstrated in this  case -- that alone  would not
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    make the relief "affirmative  action" or the consequence  of that
    relief  "reverse discrimination."    To the  contrary, race-  and
    gender-conscious    remedies    are    both    appropriate    and
    constitutionally permissible under a  federal anti-discrimination
    regime,  although such  remedial  measures are  still subject  to
    equal protection review.  See Miller v. Johnson, --- U.S. ---, --
    -,  
    115 S. Ct. 2475
    ,  2491  (1995)  ("compliance  with  federal
    antidiscrimination  laws  cannot  justify race-based  districting
    where the challenged district  was not reasonably necessary under
    a constitutional reading and  application of those laws") (citing
    Shaw v. Reno, 
    509 U.S. 630
    , 653-54 (1993)).
    B.
    B.
    Cohen  II squarely rejected Brown's interpretation of
    the three-part  test and carefully  delineated its own,  which is
    now the law of this circuit as well as the law of this case.   On
    remand,  the district court's  liability analysis  explicitly and
    faithfully adhered to Cohen II's mandate, and  we are bound to do
    the  same at  this stage  of  the litigation,  absent one  of the
    exceptional circumstances discussed supra.   Because the  precise
    questions presented  regarding the  proper interpretation  of the
    Title IX framework were considered and decided by a panel of this
    court in the prior appeal, and because no exception to the law of
    the case doctrine is presented, we have no occasion to reopen the
    issue here.   Brown's rehashed statutory  challenge is foreclosed
    by the law of the case doctrine and we are therefore bound by the
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    prior panel's interpretation of  the statute, the regulation, and
    the relevant agency pronouncements.
    In  its   liability  analysis,  the   district  court
    expressly accepted Cohen II's  elucidation of the applicable law,
    Cohen III, 
    879 F. Supp. at 194
    , and applied the law in accordance
    with its mandate, 
    id. at 210-13
    .   Indeed, every circuit court to
    have reviewed  a Title  IX claim  of discrimination in  athletics
    since  Cohen II was decided is in  accord with its explication of
    the Title  IX regime as it  applies to athletics.   See Horner v.
    Kentucky  High Sch. Athletics Ass'n, 
    43 F.3d 265
     (6th Cir. 1994);
    Kelley v. Board  of Trustees, 
    35 F.3d 265
     (7th  Cir. 1994), cert.
    denied, ---  U.S. ---, 
    115 S. Ct. 938
      (1995); Favia  v. Indiana
    Univ. of  Pa., 
    7 F.3d 332
      (3d Cir. 1993);  Roberts v.  Colorado
    State Bd. of Agric., 
    998 F.2d 824
     (10th Cir.), cert. denied, 
    510 U.S. 1004
     (1993).
    Cohen  II  held  that  the  Policy Interpretation  is
    entitled  to substantial  deference because  it is  the enforcing
    agency's "considered interpretation of the regulation."  991 F.2d
    at  896-97.    Brown argues  that  the  district  court erred  in
    concluding that it was obligated to give substantial deference to
    the Policy Interpretation, on the ground that "the interpretation
    is  not a  worthy  candidate for  deference,"  Reply Br.  at  15,
    because  "the urged interpretation  is illogical,  conflicts with
    the  Constitution,  the  Statute,  the  Regulation,  other Agency
    materials and  practices,  existing  analogous  caselaw  and,  in
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    addition, is bad  policy," id.   We  reject Brown's  kitchen-sink
    characterization  of the Policy  Interpretation and its challenge
    to  the  substantial  deference  accorded that  document  by  the
    district court.
    The Policy Interpretation represents  the responsible
    agency's   interpretation   of   the  intercollegiate   athletics
    provisions of Title IX and its implementing regulations.  44 Fed.
    Reg.  at  71,413.   It  is  well  settled that,  where,  as here,
    Congress  has  expressly  delegated to  an  agency  the  power to
    "elucidate a specific provision of a  statute by regulation," the
    resulting  regulations  should  be  accorded  "controlling weight
    unless they are arbitrary,  capricious, or manifestly contrary to
    the statute."   Chevron U.S.A. Inc. v.  Natural Resources Defense
    Council,  Inc., 
    467 U.S. 837
    ,  844 (1984).    It  is also  well
    established   "'that   an  agency's   construction  of   its  own
    regulations is  entitled to  substantial deference.'"   Martin v.
    Occupational Safety and Health Review  Comm'n, 
    499 U.S. 144
    ,  150
    (1991) (quoting Lyng v.  Payne, 
    476 U.S. 926
    , 939  (1986)) (other
    citation  omitted).     As  the  Supreme   Court  has  explained,
    "[b]ecause applying an agency's regulation to complex or changing
    circumstances  calls  upon  the  agency's  unique  expertise  and
    policymaking    prerogatives,   we   presume   that   the   power
    authoritatively to  interpret its own regulations  is a component
    of the agency's delegated lawmaking powers."  Martin, 
    499 U.S. at 151
     (citation omitted).
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    Applying  these  principles, Cohen  II held  that the
    applicable  regulation, 34 C.F.R.    106.41, deserves controlling
    weight, 991 F.2d at 895;  that the Policy Interpretation warrants
    substantial deference,  id. at  896-97; and that,  "[b]ecause the
    agency's rendition  stands upon  a plausible, if  not inevitable,
    reading of Title IX,  we are obligated to enforce  the regulation
    according  to its tenor," id. at 899 (citations omitted).  Accord
    Horner,  43 F.3d  at 274-75;  Kelley, 
    35 F.3d at 270
    ;  Favia v.
    Indiana Univ. of Pa., 
    812 F. Supp. 578
    , 584 (W.D. Pa.), aff'd, 
    7 F.3d 332
     (3d Cir. 1993).  On remand, the district court properly
    applied the legal framework elucidated in Cohen II and explicitly
    followed this court's mandate  in according controlling weight to
    the   regulation  and   substantial  deference   to  the   Policy
    Interpretation.    Cohen III,  
    879 F. Supp. at 197-99
    ;  accord
    Kelley,  
    35 F.3d at 272
     (holding that "neither the regulation nor
    the  policy interpretation  run afoul  of the  dictates  of Title
    IX").   We hold that the district court did not err in the degree
    of deference it accorded  the regulation and the relevant  agency
    pronouncements.
    C.
    C.
    As previously  noted, the  district court  held that,
    for  purposes  of   the  three-part  test,  the   intercollegiate
    athletics  participation opportunities offered  by an institution
    are  properly   measured  by   counting  the  number   of  actual
    participants  on intercollegiate teams.   Cohen III, 879 F. Supp.
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    -37-
    at 202.  The Policy Interpretation  was designed specifically for
    intercollegiate athletics.12 44 Fed. Reg. at 71,413.  Because the
    athletics  regulation  distinguishes   between  club  sports  and
    intercollegiate  sports, under  the Policy  Interpretation, "club
    teams will not  be considered to be  intercollegiate teams except
    in those  instances where  they regularly participate  in varsity
    competition."    Id. at  n.1.   Accordingly,  the  district court
    excluded   club   varsity   teams   from    the   definition   of
    "intercollegiate  teams" and, therefore,  from the calculation of
    participation  opportunities, because the evidence was inadequate
    to show  that the  club teams regularly  participated in  varsity
    competition.  Cohen III, 
    879 F. Supp. at 200
    .
    The   district   court's   definition  of   athletics
    participation  opportunities  comports  with  the   agency's  own
    definition.   See Clarification Memorandum at  2 ("In determining
    participation opportunities,  OCR  counts the  number  of  actual
    athletes  participating in the  athletic program.").   We find no
    error in the district  court's definition and calculation of  the
    intercollegiate athletics participation opportunities afforded to
    Brown students, and no error  in the court's finding of a  13.01%
    disparity  between  the  percentage  of  women  participating  in
    12.  Application of the Policy Interpretation  is not limited
    to   intercollegiate   athletics,   however.      The  Policy
    Interpretation states that "its general principles will often
    apply  to  club,  intramural,  and  interscholastic  athletic
    programs, which are also covered by the regulation."  44 Fed.
    Reg. at 71,413.
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    intercollegiate varsity athletics at  Brown and the percentage of
    women in Brown's undergraduate student body.
    D.
    D.
    Brown  contends that  an  athletics  program  equally
    accommodates  both  genders and  complies  with  Title IX  if  it
    accommodates the relative interests and abilities of its male and
    female students.  This  "relative interests" approach posits that
    an  institution satisfies prong  three of the  three-part test by
    meeting  the  interests  and  abilities  of the  underrepresented
    gender  only  to  the extent  that  it  meets  the interests  and
    abilities of  the overrepresented  gender.13  See  Cohen II,  991
    F.2d at 899.
    Brown  maintains that  the district  court's decision
    imposes   upon  universities   the   obligation   to  engage   in
    preferential treatment for women by requiring quotas in excess of
    women's relative interests  and abilities.  With respect to prong
    three, Brown asserts that  the district court's interpretation of
    the word  "fully" "requires  universities to favor  women's teams
    and treat  them better than men's  [teams]. . . .  forces them to
    13.  We  note  that  Brown  presses  its  relative  interests
    argument under both  prong one  and prong three.   At  trial,
    Brown  argued  that,  "in  order  to  succeed on  prong  one,
    plaintiffs bear the burden of proving that the percentage  of
    women   among   varsity   athletes   is   not   substantially
    proportionate  to the  percentage  of  women  among  students
    interested in  participating  in varsity  athletics."   Cohen
    III,  
    879 F. Supp. at 205
    .   At the  preliminary injunction
    stage, Brown propounded the same relative interests  argument
    under prong three.  Id. at n.41.
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    eliminate or cap men's teams.  . . . [and] forces universities to
    impose  athletic  quotas  in  excess of  relative  interests  and
    abilities."  Appellant's Br. at 55.
    The  prior  panel  considered  and  rejected  Brown's
    approach,  observing that "Brown reads the 'full' out of the duty
    to accommodate 'fully and  effectively.'"  Cohen II, 991  F.2d at
    899.   Under Cohen  II's controlling interpretation,  prong three
    "demands not  merely some  accommodation, but full  and effective
    accommodation.  If there is sufficient interest and ability among
    members of the statistically underrepresented gender, not  slaked
    by existing programs, an institution necessarily fails this prong
    of the test."  Id. at 898.
    Brown's   interpretation   of   full  and   effective
    accommodation is "simply  not the law."  Cohen III,  
    879 F. Supp. at 208
    .   We agree  with the prior  panel and the  district court
    that   Brown's  relative  interests  approach  "cannot  withstand
    scrutiny on either legal  or policy grounds," Cohen II,  991 F.2d
    at  900,  because  it  "disadvantages women  and  undermines  the
    remedial  purposes  of  Title  IX by  limiting  required  program
    expansion for the underrepresented sex to the status quo level of
    relative interests," Cohen III, 
    879 F. Supp. at 209
    .  After Cohen
    II, it cannot be maintained that the relative interests  approach
    is compatible with Title IX's equal accommodation principle as it
    has been interpreted by this circuit.
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    Brown argues that the district court's interpretation
    of  the three-part test  requires numerical proportionality, thus
    imposing  a gender-based  quota  scheme in  contravention of  the
    statute.  This argument  rests, in part, upon Brown's  reading of
    20  U.S.C.     1681(b)  as  a  categorical  proscription  against
    consideration of gender parity.  Section 1681(b) provides:
    Nothing  contained  in subsection  (a) of
    this  section  shall  be  interpreted  to
    require  any  educational institution  to
    grant preferential or disparate treatment
    to the  members of one sex  on account of
    an imbalance which may exist with respect
    to  the total  number  or  percentage  of
    persons  of that  sex participating in or
    receiving the benefits  of any  federally
    supported   program   or   activity,   in
    comparison  with  the  total   number  or
    percentage of persons of that sex  in any
    community, State, section or other area .
    . . .
    20 U.S.C.A.   1681(b) (West 1990) (emphasis added).
    The prior panel, like Brown, assumed without analysis
    that   1681(b) applies unequivocally to intercollegiate athletics
    programs.    We  do not  question  Cohen  II's  application of
    1681(b).   We  think it important  to bear in  mind, however, the
    congressional  concerns that inform  the proper interpretation of
    this  provision.  Section 1681(b) was patterned after   703(j) of
    Title VII, 42 U.S.C.   2000e-2(j), and  was specifically designed
    to  prohibit quotas  in university  admissions and  hiring, based
    upon  the  percentage   of  individuals  of   one  gender  in   a
    geographical  community.  See H.R.  Rep. No. 554,  92d Cong., 1st
    Sess.  (1971),  reprinted  in  1972  U.S.C.C.A.N.  2462,  2590-92
    -41-
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    (Additional Views);  117 Cong. Rec. 39,261-62  (1971) (remarks of
    Rep. Quie); 117 Cong. Rec. 30,406, 30,409 (remarks of Sen. Bayh);
    117 Cong. Rec. 39,251-52  (remarks of Rep. Mink and  Rep. Green).
    Thus,  the  legislative   history  strongly  suggests   that  the
    underscored language defines what  is proscribed (in the contexts
    of admissions and hiring) in terms of a geographical area, beyond
    the  institution, and does not  refer to an  imbalance within the
    university, with respect to the representation of  each gender in
    intercollegiate athletics,  as compared  to the gender  makeup of
    the student body.
    In  any event, the  three-part test is,  on its face,
    entirely  consistent with    1681(b)  because the  test does  not
    require preferential  or disparate  treatment for  either gender.
    Neither  the Policy  Interpretation's  three-part  test, nor  the
    district  court's  interpretation  of  it,  mandates  statistical
    balancing; "[r]ather, the policy interpretation merely  creates a
    presumption that a school is in compliance  with Title IX and the
    applicable   regulation  when  it  achieves  such  a  statistical
    balance."  Kelley, 
    35 F.3d at 271
    .
    The test  is also entirely consistent  with   1681(b)
    as applied  by the  prior panel  and by the  district court.   As
    previously noted, Cohen II expressly held that "a court assessing
    Title IX compliance may not find a violation solely because there
    is  a disparity between the gender  composition of an educational
    institution's  student constituency,  on  the one  hand, and  its
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    athletic programs, on  the other hand."   991 F.2d  at 895.   The
    panel  then  carefully  delineated  the burden  of  proof,  which
    requires  a  Title IX  plaintiff  to  show, not  only  "disparity
    between the gender composition  of the institution's student body
    and  its  athletic program,  thereby  proving  that there  is  an
    underrepresented gender,"  id. at 901,  but also  "that a  second
    element -- unmet interest  -- is present," id., meaning  that the
    underrepresented  gender  has  not  been  fully  and  effectively
    accommodated  by the institution's  present athletic program, id.
    at 902 (citing 44 Fed. Reg. at 71,418).  Only where the plaintiff
    meets the burden of  proof on these elements and  the institution
    fails  to show as an affirmative defense a history and continuing
    practice  of program  expansion responsive  to the  interests and
    abilities  of  the  underrepresented  gender  will  liability  be
    established.  Surely this is a far cry from a one-step imposition
    of a gender-based quota.
    Brown simply ignores the fact that it  is required to
    accommodate  fully   the   interests   and   abilities   of   the
    underrepresented gender, not because the three-part test mandates
    preferential treatment for women ab initio, but because Brown has
    been  found (under  prong one)  to have  allocated its  athletics
    participation opportunities so as to create a significant gender-
    based  disparity with  respect  to these  opportunities, and  has
    failed  (under  prong  two)  to  show  a  history and  continuing
    practice of expansion  of opportunities for  the underrepresented
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    gender.   Brown's interpretation  conflates prongs one  and three
    and distorts the three-part  test by reducing it to  an abstract,
    mechanical determination of strict numerical proportionality.  In
    short,  Brown treats the three-part test for compliance as a one-
    part test for strict liability.
    Brown  also  fails  to   recognize  that  Title  IX's
    remedial  focus is,  quite properly,  not on  the overrepresented
    gender, but on the underrepresented gender; in  this case, women.
    Title IX and its  implementing regulations protect the class  for
    whose special benefit the  statute was enacted.  See  Cannon, 
    441 U.S. at 694
    .   It is women and not men  who have historically and
    who continue to be underrepresented in sports, not only at Brown,
    but  at universities nationwide.  See Williams v. School Dist. of
    Bethlehem,  Pa.,  
    998 F.2d 168
    ,  175  (1993)  (observing  that,
    although Title IX and  its regulations apply equally to  boys and
    girls,  "it would require blinders  to ignore that the motivation
    for promulgation of the regulation on athletics  was the historic
    emphasis on  boys' athletic programs  to the exclusion  of girls'
    athletic programs in  high schools as  well as colleges"),  cert.
    denied, 
    510 U.S. 1043
     (1994).
    The  prior  panel  held  that "[t]he  fact  that  the
    overrepresented gender is less  than fully accommodated will not,
    in  and of  itself,  excuse  a  shortfall  in  the  provision  of
    opportunities for  the underrepresented  gender."  Cohen  II, 991
    F.2d   at  899.    Instead,  the  law  requires  that,  absent  a
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    demonstration   of   continuing   program   expansion   for   the
    underrepresented gender  under prong two of  the three-part test,
    an  institution must  either  provide athletics  opportunities in
    proportion to the gender composition of the student body so as to
    satisfy  prong  one,  or  fully  accommodate  the  interests  and
    abilities of athletes of  the underrepresented gender under prong
    three.  Id.  In other words,
    If  a  school,  like  Brown,  eschews the
    first two benchmarks of the accommodation
    test, electing to stray  from substantial
    proportionality  and   failing  to  march
    uninterruptedly in the direction of equal
    athletic opportunity, it must comply with
    the third  benchmark.    To  do  so,  the
    school   must   fully   and   effectively
    accommodate the underrepresented gender's
    interests  and  abilities,  even if  that
    requires it to give  the underrepresented
    gender (in this case, women) what amounts
    to   a  larger   slice  of   a  shrinking
    athletic-opportunity pie.
    Id. at 906.
    We think it clear that neither the Title IX framework
    nor the district court's interpretation of it mandates a  gender-
    based  quota scheme.    In  our  view,  it  is  Brown's  relative
    interests  approach  to  the  three-part test,  rather  than  the
    district  court's interpretation,  that contravenes  the language
    and purpose of the test and of  the statute itself.  To adopt the
    relative interests  approach would be, not only to overrule Cohen
    II, but to rewrite  the enforcing agency's interpretation  of its
    own  regulation  so  as  to  incorporate  an  entirely  different
    standard  for  Title  IX  compliance.   This  relative  interests
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    standard would entrench  and fix by  law the significant  gender-
    based disparity in athletics  opportunities found by the district
    court to exist at Brown, a finding we have held to be not clearly
    erroneous.      According    to   Brown's   relative    interests
    interpretation of  the equal accommodation principle, the gender-
    based disparity in athletics participation opportunities at Brown
    is due to a lack  of interest on the part of its female students,
    rather than  to  discrimination, and  any attempt  to remedy  the
    disparity is, by definition, an unlawful quota.  This approach is
    entirely contrary to "Congress's unmistakably clear mandate  that
    educational institutions  not use  federal  monies to  perpetuate
    gender-based discrimination," id. at  907, and makes it virtually
    impossible  to  effectuate  Congress's intent  to  eliminate  sex
    discrimination in intercollegiate athletics.
    E.
    E.
    Brown  also  claims  error  in  the district  court's
    failure to apply Title  VII standards to its analysis  of whether
    Brown's intercollegiate athletics program complies with Title IX.
    The  district  court rejected  the analogy  to Title  VII, noting
    that, while Title VII  "seeks to determine whether gender-neutral
    job openings have  been filled without regard  to gender[,] Title
    IX  . . . was designed to  address the reality that sports teams,
    unlike  the  vast  majority  of jobs,  do  have  official  gender
    requirements, and this statute accordingly approaches the concept
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    of discrimination differently from Title VII."  Cohen III, 
    879 F. Supp. at 205
    .
    It does not follow  from the fact that    1681(b) was
    patterned after a  Title VII provision  that Title VII  standards
    should   be  applied  to  a  Title  IX  analysis  of  whether  an
    intercollegiate  athletics  program  equally   accommodates  both
    genders,  as Brown contends.   While this court  has approved the
    importation  of Title VII  standards into  Title IX  analysis, we
    have explicitly limited the  crossover to the employment context.
    See  Cohen II, 991 F.2d  at 902 (citing  Lipsett v. University of
    P.R., 
    864 F.2d 881
    , 897  (1st Cir. 1988)); but see Brown  v. Hot,
    Sexy and  Safer Prods., Inc.,  
    68 F.3d 525
    ,  540 (1st  Cir. 1995)
    (Title VII sexual harassment standards applied to Title IX sexual
    harassment  case in  non-employment context),  cert. denied,  ---
    U.S. ---, 
    116 S. Ct. 1044
     (1996).
    As Cohen  II recognized, "[t]he scope  and purpose of
    Title   IX,  which   merely   conditions  government   grants  to
    educational institutions, are  substantially different from those
    of Title VII, which  sets basic employment standards."   991 F.2d
    at 902  (citation  omitted).   "[W]hereas  Title VII  is  largely
    peremptory,"  Title IX  is  "largely aspirational,"  and thus,  a
    "loosely laced buskin."   Id.; see also North Haven,  
    456 U.S. at 521
      (directing that Title IX must  be accorded "a sweep as broad
    as its language").
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    It is imperative to recognize that athletics presents
    a  distinctly different situation  from admissions and employment
    and  requires a  different  analysis in  order  to determine  the
    existence vel non of  discrimination.  While the Title  IX regime
    permits institutions to maintain gender-segregated teams, the law
    does  not require  that  student-athletes attending  institutions
    receiving federal funds must  compete on gender-segregated teams;
    nor  does the  law require  that institutions  provide completely
    gender-integrated athletics programs.14  To the extent that Title
    IX allows  institutions to maintain single-sex  teams and gender-
    14.  See  34 C.F.R.    106.41(b)  (1995) ("[A]  recipient may
    operate or  sponsor separate  teams for  members of  each sex
    where  selection for  such  teams is  based upon  competitive
    skill  or  the  activity   involved  is  a  contact  sport.")
    (emphasis   added).     Nor   do   the  regulations   require
    institutions to field gender-integrated teams:
    However,  where  a recipient  operates or
    sponsors a team in a particular sport for
    members   of  one  sex  but  operates  or
    sponsors no such team for members  of the
    other sex, and athletic opportunities for
    members  of that sex have previously been
    limited, members of the excluded sex must
    be  allowed  to  try-out  for   the  team
    offered  unless the  sport involved  is a
    contact sport.
    
    Id.
    Whether  or not  the institution  maintains gender-
    segregated teams, it  must provide "gender-blind  equality of
    opportunity to its student body."  Cohen II, 991 F.2d at 896.
    While this case presents  only the example of members  of the
    underrepresented   gender   seeking   the    opportunity   to
    participate  on single-sex  teams,  the  same analysis  would
    apply  where members  of  the underrepresented  gender sought
    opportunities to play on co-ed teams.
    -48-
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    segregated  athletics  programs, men  and  women  do not  compete
    against  each other for places on team rosters.  Accordingly, and
    notwithstanding Brown's protestations to the contrary, the  Title
    VII concept  of the "qualified pool"  has no place in  a Title IX
    analysis  of equal  opportunities  for male  and female  athletes
    because women  are not "qualified"  to compete  for positions  on
    men's  teams,  and vice-versa.    In  addition,  the  concept  of
    "preference"  does not have the  same meaning, or  raise the same
    equality concerns,  as it does  in the employment  and admissions
    contexts.
    Brown's approach  fails  to recognize  that,  because
    gender-segregated teams are the norm in intercollegiate athletics
    programs,  athletics differs  from admissions  and employment  in
    analytically material  ways.  In providing  for gender-segregated
    teams,  intercollegiate  athletics programs  necessarily allocate
    opportunities separately for male and female students, and, thus,
    any  inquiry into a  claim of gender  discrimination must compare
    the athletics participation  opportunities provided for  men with
    those  provided  for  women.    For   this  reason,  and  because
    recruitment  of interested athletes  is at the  discretion of the
    institution, there  is a risk  that the institution  will recruit
    only enough women  to fill  positions in a  program that  already
    underrepresents women, and  that the smaller size  of the women's
    program   will   have   the   effect   of   discouraging  women's
    participation.
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    In this  unique context, Title IX  operates to ensure
    that the gender-segregated allocation of  athletics opportunities
    does  not disadvantage either gender.  Rather than create a quota
    or  preference,  this  unavoidably   gender-conscious  comparison
    merely  provides for  the allocation  of athletics  resources and
    participation  opportunities   between  the   sexes  in   a  non-
    discriminatory  manner.     As  the  Seventh   Circuit  observed,
    "Congress itself  recognized  that addressing  discrimination  in
    athletics  presented a unique set of problems not raised in areas
    such  as employment  and  academics."   Kelley,  
    35 F.3d at
     270
    (citing  Sex  Discrimination  Regulations,  Hearings  Before  the
    Subcommittee  on Post  Secondary  Education of  the Committee  on
    Education and Labor, 94th Cong.,  1st Sess. at 46, 54,  125, 129,
    152, 177, 299-300  (1975); 118 Cong. Rec.  5807 (1972) (statement
    of Sen. Bayh); 117 Cong. Rec. 30,407 (1971) (same)).
    In   contrast  to   the  employment   and  admissions
    contexts, in the athletics context,  gender is not an  irrelevant
    characteristic.   Courts and institutions  must have some  way of
    determining whether  an institution complies with  the mandate of
    Title  IX  and  its   supporting  regulations  to  provide  equal
    athletics opportunities  for both genders, despite  the fact that
    the  institution  maintains single-sex  teams,  and  some way  of
    fashioning  a remedy  upon a  determination that  the institution
    does not  equally and  effectively accommodate the  interests and
    abilities of both  genders.  As the Kelley Court  pointed out (in
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    the context of analyzing the deference due the relevant athletics
    regulation and the Policy Interpretation):
    Undoubtedly  the  agency responsible  for
    enforcement  of  the  statute could  have
    required  schools  to  sponsor a  women's
    program for every  men's program  offered
    and  vice  versa.  .   .  .  It  was  not
    unreasonable, however, for the  agency to
    reject this course  of action.  Requiring
    parallel  teams is a  rigid approach that
    denies schools the flexibility to respond
    to  the  differing athletic  interests of
    men   and  women.     It   was  perfectly
    acceptable, therefore, for the  agency to
    chart  a different  course  and adopt  an
    enforcement    scheme    that    measures
    compliance  by analyzing how a school has
    allocated its various athletic resources.
    Kelley, 
    35 F.3d at 271
     (footnotes omitted).
    Each prong of the Policy  Interpretation's three-part
    test determines compliance in this manner.
    Measuring    compliance    through     an
    evaluation  of  a school's  allocation of
    its  athletic  resources  allows  schools
    flexibility   in  meeting   the  athletic
    interests of their students and increases
    the  chance that the  actual interests of
    those  students  will  be met.    And  if
    compliance  with   Title  IX  is   to  be
    measured through this  sort of  analysis,
    it  is only  practical  that  schools  be
    given  some clear  way to  establish that
    they have satisfied  the requirements  of
    the    statute.        The    substantial
    proportionality contained  in Benchmark 1
    merely establishes such a safe harbor.
    
    Id.
     (citations omitted).
    We find no error  in the district court's  refusal to
    apply Title  VII standards  in its inquiry  into whether  Brown's
    intercollegiate athletics  program complies  with Title IX.   See
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    Cohen  II, 991  F.2d at 901  ("[T]here is  no need  to search for
    analogies where,  as  in the  Title  IX milieu,  the  controlling
    statutes  and regulations  are clear.").   We  conclude that  the
    district  court's application  of  the three-part  test does  not
    create a gender-based quota  and is consistent with Title  IX, 34
    C.F.R.    106.41, the Policy  Interpretation, and the  mandate of
    Cohen II.
    F.
    F.
    Brown has  contended throughout this  litigation that
    the significant disparity in  athletics opportunities for men and
    women  at Brown is the  result of a  gender-based differential in
    the level of  interest in  sports and that  the district  court's
    application  of  the  three-part test  requires  universities  to
    provide  athletics  opportunities for  women  to  an extent  that
    exceeds their relative interests and abilities in sports.   Thus,
    at the heart  of this litigation is the question whether Title IX
    permits  Brown to deny  its female students  equal opportunity to
    participate in sports, based upon its unproven assertion that the
    district court's finding of  a significant disparity in athletics
    opportunities  for   male  and  female  students   reflects,  not
    discrimination in Brown's  intercollegiate athletics program, but
    a lack of  interest on the  part of its  female students that  is
    unrelated to a lack of opportunities.
    We  view   Brown's  argument  that   women  are  less
    interested   than   men  in   participating   in  intercollegiate
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    athletics, as well as its conclusion  that institutions should be
    required to accommodate the interests and abilities of its female
    students only  to the extent  that it accommodates  the interests
    and abilities of  its male  students, with great  suspicion.   To
    assert  that  Title  IX  permits institutions  to  provide  fewer
    athletics  participation opportunities  for women  than for  men,
    based upon the premise  that women are less interested  in sports
    than are men,  is (among  other things) to  ignore the fact  that
    Title  IX was  enacted  in order  to  remedy discrimination  that
    results  from  stereotyped  notions  of  women's  interests   and
    abilities.
    Interest and ability rarely develop in a vacuum; they
    evolve as a function  of opportunity and experience.   The Policy
    Interpretation   recognizes   that   women's   lower    rate   of
    participation in athletics  reflects women's  historical lack  of
    opportunities  to participate  in sports.   See  44 Fed.  Reg. at
    71,419 ("Participation in intercollegiate sports has historically
    been   emphasized  for  men  but  not  women.    Partially  as  a
    consequence of this, participation  rates of women are  far below
    those of men.").
    Moreover, the Supreme  Court has repeatedly condemned
    gender-based  discrimination  based upon  "archaic  and overbroad
    generalizations" about  women.  Schlesinger v.  Ballard, 
    419 U.S. 498
    ,  508  (1975).   See, e.g.,  Mississippi  Univ. for  Women v.
    Hogan,  
    458 U.S. 718
    , 725  (1982); Califano v.  Webster, 430 U.S.
    -53-
    -53-
    313, 317 (1977);  Frontiero v. Richardson,  
    411 U.S. 677
    ,  684-86
    (1973).   The  Court has been  especially critical of  the use of
    statistical evidence offered  to prove generalized, stereotypical
    notions  about men  and  women.   For  example, in  holding  that
    Oklahoma's  3.2% beer  statute invidiously  discriminated against
    males 18-20 years  of age, the Court in Craig  v. Boren, 
    429 U.S. 190
    , 208-209  (1976), stressed  that "the principles  embodied in
    the Equal Protection Clause are  not to be rendered  inapplicable
    by  statistically measured but  loose-fitting generalities."  See
    also 
    id. at 202
      ("statistics  exhibit  a  variety  of  .  .  .
    shortcomings   that  seriously   impugn  their  value   to  equal
    protection analysis");  
    id. at 204
     ("proving broad  sociological
    propositions by statistics  is a dubious  business, and one  that
    inevitably  is  in tension  with  the  normative philosophy  that
    underlies the Equal Protection Clause"); Cannon, 
    441 U.S. at
    681
    n.2 (observing with respect to the relevance of the University of
    Chicago's  statistical evidence  regarding  the small  number  of
    female applicants  to its medical  school, in comparison  to male
    applicants, that  "the dampening impact of  a discriminatory rule
    may  undermine  the  relevance  of  figures  relating  to  actual
    applicants").
    Thus,  there  exists  the  danger that,  rather  than
    providing  a   true  measure  of  women's   interest  in  sports,
    statistical  evidence  purporting  to  reflect  women's  interest
    instead  provides only a measure  of the very discrimination that
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    is and  has been the  basis for  women's lack  of opportunity  to
    participate in  sports.    Prong  three  requires  some  kind  of
    evidence of  interest in  athletics, and  the Title  IX framework
    permits the use of statistical evidence in assessing the level of
    interest  in sports.15   Nevertheless,  to allow  a numbers-based
    15.  Under the Policy Interpretation,
    Institutions  may determine  the athletic
    interests  and  abilities of  students by
    nondiscriminatory   methods    of   their
    choosing provided:
    a. The processes take into
    account      the     nationally
    increasing  levels  of  women's
    interests and abilities;
    b.    The    methods    of
    determining     interest    and
    ability do not disadvantage the
    members of  an underrepresented
    sex;
    c.    The    methods    of
    determining  ability take  into
    account     team    performance
    records; and
    d.    The   methods    are
    responsive  to  the   expressed
    interests  of students  capable
    of  intercollegiate competition
    who    are   members    of   an
    underrepresented sex.
    44 Fed. Reg. at 71,417.
    The   1990  version  of   the  Title  IX  Athletics
    Investigator's Manual, an internal agency document, instructs
    investigating   officials  to   consider,  inter   alia,  the
    following: (i)  any institutional  surveys or  assessments of
    students' athletics interests  and abilities, see  Valerie M.
    Bonnette &  Lamar Daniel,  Department of Education,  Title IX
    Athletics  Investigator's  Manual  at  22  (1990);  (ii)  the
    "expressed interests" of the underrepresented gender,  id. at
    25;  (iii)   other  programs  indicative  of   interests  and
    abilities,  such  as  club  and  intramural  sports,   sports
    programs at  "feeder" schools, community and  regional sports
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    lack-of-interest  defense  to become  the  instrument  of further
    discrimination against the underrepresented gender  would pervert
    the remedial purpose  of Title IX.  We conclude  that, even if it
    can be empirically demonstrated that, at a particular time, women
    have less interest in sports than do men, such evidence, standing
    alone, cannot justify providing fewer athletics opportunities for
    women than  for men.   Furthermore,  such evidence is  completely
    irrelevant where, as here,  viable and successful women's varsity
    teams have been demoted or eliminated.  We emphasize that, on the
    facts of this case, Brown's lack-of-interest  arguments are of no
    consequence.  As  the prior panel recognized, while  the question
    of full  and effective  accommodation of athletics  interests and
    abilities  is potentially  a complicated  issue where  plaintiffs
    seek to create a new team or to elevate to  varsity status a team
    that  has never competed at the varsity level, no such difficulty
    programs, and physical education classes, id.
    As the  district court  noted, however,  the agency
    characterizes  surveys as  a  "simple way  to identify  which
    additional sports  might appropriately be created  to achieve
    compliance. . . . Thus, a survey of interests would  follow a
    determination  that  an institution  does  not  satisfy prong
    three; it would not be utilized to make that determination in
    the first  instance."  Cohen III,  897 F. Supp. at  210 n.51;
    see  1990  Investigator's Manual  at  27  (explaining that  a
    survey  or  assessment  of  interests and  abilities  is  not
    required   by  the   Title  IX   regulation  or   the  Policy
    Interpretation but may be  required as part of a  remedy when
    OCR has concluded that  an institution's current program does
    not   equally  effectively  accommodate   the  interests  and
    abilities of students).  (We  note that the text of the  1990
    Investigator's Manual cited herein  at page 25 was apparently
    at  page 27  of the  copy of the  Manual before  the district
    court.)
    -56-
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    is presented here, where  plaintiffs seek to reinstate  what were
    successful university-funded teams right  up until the moment the
    teams were demoted.16  Cohen II,  991 F.2d at 904; see also Cohen
    I,  
    809 F. Supp. at 992
      ("Brown  is  cutting   off  varsity
    opportunities where there is great interest and talent, and where
    Brown still  has  an  imbalance  between men  and  women  varsity
    athletes in relation to their undergraduate enrollments.").
    On these facts, Brown's failure  to accommodate fully
    and   effectively   the   interests   and   abilities    of   the
    underrepresented    gender   is   clearly   established.      See
    Clarification Memorandum  at 8  ("If an institution  has recently
    eliminated a  viable team  from the intercollegiate  program, OCR
    will  find  that  there  is  sufficient  interest,  ability,  and
    available competition to sustain  an intercollegiate team in that
    sport  unless an  institution  can provide  strong evidence  that
    interest,  ability or available  competition no longer exists.");
    
    id.
     at 8-9  n.2 ("While  [other] indications of  interest may  be
    helpful  to  OCR  in  ascertaining  likely  interest  on  campus,
    particularly  in  the  absence   of  more  direct  indicia[,]  an
    16.  The district  court  found that  the women's  gymnastics
    team had won the Ivy League championship in 1989-90 and was a
    "thriving university-funded  varsity team prior  to the  1991
    demotion;"  that the  donor-funded women's  fencing team  had
    been successful for  many years  and that its  request to  be
    upgraded  to  varsity  status   had  been  supported  by  the
    athletics director at the time; that the donor-funded women's
    ski team  had been consistently competitive  despite a meager
    budget; and that the club-status women's water polo  team had
    demonstrated  the interest  and  ability to  compete at  full
    varsity status.  Cohen III, 
    879 F. Supp. at 190
    .
    -57-
    -57-
    institution  is  expected  to   meet  the  actual  interests  and
    abilities  of its students and admitted students.").  Under these
    circumstances,  the  district  court's  finding  that  there  are
    interested women able to compete at the university-funded varsity
    level,  Cohen III,  
    879 F. Supp. at 212
    , is  clearly  correct.
    Finally,   the   tremendous    growth   in    women's
    participation  in sports  since  Title IX  was enacted  disproves
    Brown's  argument that women  are less  interested in  sports for
    reasons  unrelated to lack of opportunity.  See, e.g., Mike Tharp
    et al., Sports  crazy! Ready, set,  go.  Why  we love our  games,
    U.S. News & World Report, July 15, 1996, at 33-34 (attributing to
    Title IX the explosive growth  of women's participation in sports
    and the  debunking of  "the  traditional myth  that women  aren't
    interested in sports").
    Brown's   relative  interests   approach  is   not  a
    reasonable interpretation of the  three-part test.  This approach
    contravenes the purpose of the statute and the regulation because
    it does not permit an institution or a district court to remedy a
    gender-based disparity in athletics  participation opportunities.
    Instead,  this approach  freezes that  disparity by  law, thereby
    disadvantaging further the underrepresented gender.  Had Congress
    intended  to entrench, rather than change, the status quo -- with
    its  historical emphasis on  men's participation opportunities to
    the detriment of women's  opportunities -- it need not  have gone
    to all the trouble of enacting Title IX.
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    V.
    V.
    In the  first  appeal, this  court  rejected  Brown's
    Fifth  Amendment  equal  protection  challenge  to  the statutory
    scheme.  Cohen II, 991 F.2d at 900-901.  Here,  Brown argues that
    its challenge is to the decision of the district court.  As Brown
    puts  it, "[t]he  [equal  protection] violation  arises from  the
    court's holding that  Title IX requires the imposition of quotas,
    preferential treatment, and disparate treatment in the absence of
    a compelling state interest and a determination that the remedial
    measure is 'narrowly  tailored' to serve  that interest."   Reply
    Br. at 18 (citing Adarand, --- U.S. at ---, 115 S. Ct. at 2117).
    A.
    A.
    To   the   extent    that   Brown   challenges    the
    constitutionality of  the statutory scheme itself,  the challenge
    rests  upon  at  least  two erroneous  assumptions:  first,  that
    Adarand is controlling  authority on point  that compels us,  not
    only to consider Brown's  constitutional challenge anew, but also
    to  apply  strict  scrutiny to  the  analysis;  second,  that the
    district court's application of the law in its liability analysis
    on remand  is inconsistent  with the interpretation  expounded in
    the prior appeal.   We reject both premises.17   Brown's implicit
    17.  We assume,  without deciding, that Brown  has not waived
    its equal  protection claim  and has  standing  to raise  it.
    Appellees argue that  this claim is waived  because Brown did
    not  raise it in  the district court.   Appellee's  Br. at 55
    (citing  Desjardins v.  Van Buren  Community Hosp.,  
    969 F.2d 1280
    , 1282 (1st Cir.  1992)).  Appellees also argue  that, to
    the  extent that the equal  protection claim is viable, Brown
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    reliance on Adarand as contrary intervening controlling authority
    that warrants  a departure from the  law of the  case doctrine is
    misplaced  because, while Adarand does  make new law,  the law it
    makes  is wholly  irrelevant to the  disposition of  this appeal,
    and, even  if Adarand did apply, it does not mandate the level of
    scrutiny to be applied to gender-conscious government action.
    In  rejecting Brown's  equal  protection  claim,  the
    Cohen  II  panel stated,  "It is  clear  that Congress  has broad
    powers under the Fifth  Amendment to remedy past discrimination."
    991   F.2d  at  901.     The  panel  cited   as  authority  Metro
    Broadcasting,  
    497 U.S. at 565-66
     (for  the  proposition  that
    "Congress need  not make  specific findings of  discrimination to
    grant race-conscious relief"), and  Califano v. Webster, 430 U.S.
    at 317 (noting  that Webster  upheld a social  security wage  law
    that  benefitted women  "in  part because  its  purpose was  'the
    permissible   one  of   redressing  our   society's  longstanding
    disparate treatment of women'").  Cohen II, 991 F.2d at 901.  The
    panel  also noted that, in spite of the scant legislative history
    regarding Title IX as  it applies to athletics, Congress  heard a
    great deal of testimony regarding discrimination against women in
    higher  education  and  acted  to  reverse  the  Supreme  Court's
    decision  in Grove  City College  v. Bell,  
    465 U.S. 555
    , 573-74
    lacks standing to  raise it.   Appellee's Br.  at 56  (citing
    Powers  v. Ohio,  
    499 U.S. 400
    ,  
    111 S. Ct. 1364
    ,  1370-71
    (1991)).   Given  our disposition  of this  claim, we  do not
    address these arguments.
    -60-
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    (1984)  (holding that  Title IX  was "program-specific"  and thus
    applied only  to those university programs  that actually receive
    federal  funds and  not  to the  rest  of the  university),  with
    athletics prominently in mind.  Cohen II, 991 F.2d at 901.
    In Metro Broadcasting, the Court upheld two federally
    mandated  race-based  preference   policies  under   intermediate
    scrutiny.  
    497 U.S. at 564-65
     (holding that benign race-conscious
    measures  mandated by Congress  "are constitutionally permissible
    to the  extent that they serve  important governmental objectives
    within the power  of Congress  and are  substantially related  to
    achievement of those objectives").   The Metro Broadcasting Court
    applied intermediate scrutiny,  notwithstanding that the previous
    year,  in Croson, 
    488 U.S. 469
    , the Court applied strict scrutiny
    in striking down a municipal  minority set-aside program for city
    construction   contracts.      The   Metro   Broadcasting   Court
    distinguished  Croson,  noting  that  "[i]n  fact,  much  of  the
    language  and  reasoning  in  Croson  reaffirmed  the  lesson  of
    Fullilove18  that  race-conscious   classifications  adopted   by
    Congress to address racial  and ethnic discrimination are subject
    18.  In  Fullilove,  a  plurality  of  the  Court  applied  a
    standard   subsequently   acknowledged  to   be  intermediate
    scrutiny,  see  Metro  Broadcasting,  
    497 U.S. at 564
    ,  in
    upholding   against  a   Fifth  Amendment   equal  protection
    challenge a benign race-based affirmative action program that
    was  adopted by  an  agency  at  the  explicit  direction  of
    Congress.    The  Fullilove plurality  inquired  "whether the
    objectives  of  th[e] legislation  are  within  the power  of
    Congress[]" and "whether the limited use of racial and ethnic
    criteria  . . .  is a constitutionally  permissible means for
    achieving the congressional objectives."  
    448 U.S. at 473
    .
    -61-
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    to a  different standard than such  classifications prescribed by
    state and local governments."    Metro Broadcasting, 
    497 U.S. at 565
    .
    Adarand  overruled Metro  Broadcasting to  the extent
    that Metro  Broadcasting is  inconsistent with Adarand's  holding
    that "all  racial classifications,  imposed by  whatever federal,
    state, or local government actor, must be analyzed by a reviewing
    court  under strict scrutiny."  Adarand, ---  U.S. at ---, 115 S.
    Ct. at  2113.   Brown impliedly  assumes  that Adarand's  partial
    overruling of  Metro Broadcasting invalidates  the prior  panel's
    disposition of  Brown's equal  protection challenge by  virtue of
    its passing citation  to Metro Broadcasting.   This assumption is
    erroneous because the proposition for which Cohen II cited  Metro
    Broadcasting as authority has not been vitiated by Adarand, is of
    no  consequence to our disposition  of the issues  raised in this
    litigation, and is, in any event, unchallenged here.19
    B.
    B.
    The  prior  panel  rejected Brown's  Fifth  Amendment
    equal  protection20 and  "affirmative action"  challenges  to the
    19.  Cohen   II  cited  Metro   Broadcasting  for  a  general
    principle  regarding  Congress's   broad  powers  to   remedy
    discrimination,  a  proposition  that  was  not  reached   by
    Adarand.  Moreover, Webster, which Cohen II  cited along with
    Metro Broadcasting, was not overruled or in any way  rendered
    suspect by Adarand.
    20.  It  is  well  settled  that  the   reach  of  the  equal
    protection  guarantee  of  the Fifth  Amendment  Due  Process
    Clause  -- the basis for Brown's equal protection claim -- is
    coextensive  with  that  of the  Fourteenth  Amendment  Equal
    -62-
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    statutory  scheme.   Cohen  II,  991  F.2d  at  901  (finding  no
    constitutional infirmity, assuming arguendo, that  the regulation
    creates a classification somewhat  in favor of women).   Thus, to
    the  extent that  Brown challenges  the statutory  scheme itself,
    that  challenge is foreclosed under the law of the case doctrine.
    Nevertheless, the  remedy ordered for  a violation  of a  federal
    anti-discrimination statute is still  subject to equal protection
    review, assuming that it constitutes  gender-conscious government
    action.   See  Miller,  --- U.S.  at  ---, 115  S.  Ct. at  2491.
    Therefore,  we  review  the  constitutionality  of  the  district
    court's  order  requiring  Brown  to  comply  with  Title  IX  by
    accommodating fully and effectively  the athletics interests  and
    abilities  of  its  women   students.    Because  the  challenged
    classification  is gender-based,  it must  be analyzed  under the
    intermediate scrutiny  test.  Before proceeding  to the analysis,
    however, we must  first address Brown's challenge to the standard
    of review.
    Brown concedes that  Adarand "does not,  in partially
    overruling Metro  Broadcasting, set forth the  proper standard of
    review for this  case."   Appellant's Br. at  29.   Nevertheless,
    Brown asserts  that "[w]hile Adarand  is a case  involving racial
    classification,   its  analysis   clearly   applies   to   gender
    classification as  well."  Id.  at 27.   Further, inappropriately
    Protection Clause.  E.g., United States v. Paradise, 
    480 U.S. at
     166 n.16; Weinberger v. Wiesenfeld, 
    420 U.S. 636
    , 638 n.2
    (1975).
    -63-
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    relying on Frontiero,  
    411 U.S. 677
    , and Croson,  
    488 U.S. 469
    ,
    Brown concludes  that  strict scrutiny  applies  to  gender-based
    classifications.21   Appellant's Br. at  29; Reply Br.  at 19-20.
    These conclusory assertions do  not comport with the law  in this
    circuit.
    First, as explained earlier, Adarand and Croson apply
    to  review of legislative affirmative  action schemes.  This case
    presents  the issue of the legality of a federal district court's
    determination, based  upon adjudicated  findings of fact,  that a
    federal anti-discrimination statute has been violated, and of the
    21.  In Frontiero,  a plurality  of the Court  concluded that
    gender-based  classifications,  "like  classifications  based
    upon  race,  alienage,  or  national origin,  are  inherently
    suspect, and  must therefore be subjected  to strict judicial
    scrutiny."  
    411 U.S. at 688
    .  In the 23 years that have since
    elapsed, this  position has never commanded a majority of the
    Court,  and has never been  adopted by this  court.  Whatever
    may be the merits of adopting strict scrutiny as the standard
    to  be  applied   to  gender-based  classifications,   it  is
    inappropriate  to  suggest,  as  Brown does,  that  Frontiero
    compels its application here.
    Brown's  assertion  that  Adarand  obligates  this
    court to apply Croson  to its equal protection claim  is also
    incorrect.   As  noted previously,  Croson is  an affirmative
    action  case and  does  not  control  review  of  a  judicial
    determination that a federal anti-discrimination  statute has
    been  violated.  To the extent that Brown assumes that Croson
    governs the issue of the sufficiency of the factual predicate
    required  to uphold  a  federally mandated,  benign race-  or
    gender-based   classification,   that   assumption  is   also
    unfounded.   As we have explained,  Croson's factual concerns
    are  not  raised  by  a  district  court's  determination  --
    predicated  upon  duly adjudicated  factual  findings bearing
    multiple indicia of reliability  and specificity -- of gender
    discrimination in  violation of a  federal statute.   We also
    point  out that  Adarand did  not reach  the question  of the
    sufficiency  of the  factual  predicate  required to  satisfy
    strict scrutiny  review of a  congressionally mandated  race-
    based classification.
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    statutory  and  constitutional propriety  of the  judicial remedy
    ordered to provide  redress to plaintiffs with standing  who have
    been injured by the violation.
    Second,   Adarand  does   not  even   discuss  gender
    discrimination, and  its holding  is limited to  explicitly race-
    based classifications.  --- U.S. at ---, 115  S. Ct. at 2113.  It
    can  hardly be assumed that the Court intended to include gender-
    based classifications within  Adarand's precedential scope or  to
    elevate, sub silentio, the level  of scrutiny to be applied by  a
    reviewing court to such classifications.
    Third, even if Adarand did apply, it does not dictate
    the  level of  scrutiny  to be  applied  in this  case, as  Brown
    concedes.    For the  last twenty  years,  the Supreme  Court has
    applied  intermediate   scrutiny  to  all  cases   raising  equal
    protection challenges to gender-based  classifications, including
    the  Supreme  Court's  most  recent  gender discrimination  case,
    United States v. Virginia,  --- U.S. ---, 
    116 S. Ct. 2264
     (1996)
    ("Virginia"); see 
    id. at 2288
     (Rehnquist, C.J., concurring in the
    judgment) (collecting cases).22
    22.  We  point out that Virginia adds nothing to the analysis
    of    equal    protection    challenges    to    gender-based
    classifications that has not been part of that analysis since
    1979, long before Cohen  II was decided.  While  the Virginia
    Court made liberal use  of the phrase "exceedingly persuasive
    justification,"   and   sparse   use   of   the   formulation
    "substantially   related   to   an   important   governmental
    objective,"  the Court nevertheless  struck down  the gender-
    based  admissions   policy  at  issue  in   that  case  under
    intermediate scrutiny, --- U.S.  at ---, 
    116 S. Ct. at 2271, 2275
    ;  
    id. at 2288
      (Rehnquist,  C.J.,  concurring  in  the
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    Fourth, it is important to recognize that controlling
    authority  does  not  distinguish  between  invidious and  benign
    discrimination in the context of gender-based classifications, as
    it  has in the context  of racial classifications.   Neither this
    court nor the  Supreme Court  has drawn this  distinction in  the
    context  of gender  discrimination  claims or  held  that a  less
    stringent standard applies in cases involving benign, rather than
    invidious, gender discrimination.   See Hogan, 
    458 U.S. at
    724 &
    n.9  (reviewing benign  gender-conscious admissions  policy under
    intermediate scrutiny and recognizing  that the analysis does not
    change with the objective  of the classification); accord Wygant,
    
    476 U.S. at 273
    .  Thus, the analytical result would be same, even
    if this were an affirmative action case.
    Under   intermediate   scrutiny,   the    burden   of
    demonstrating  an  exceedingly  persuasive  justification  for  a
    government-imposed,  gender-conscious  classification  is met  by
    showing that  the  classification serves  important  governmental
    objectives, and that the means employed are substantially related
    judgment),    the    standard    applied   to    gender-based
    classifications since  1976, when  it was first  announced in
    Craig v. Boren, 
    429 U.S. at 197
    , and the test applied in both
    Metro Broadcasting and Webster.
    The  phrase "exceedingly  persuasive justification"
    has been employed routinely by the Supreme Court in  applying
    intermediate scrutiny to gender discrimination claims and is,
    in  effect a  short-hand expression  of  the well-established
    test.    See Personnel  Adm'r v.  Feeney,  
    442 U.S. 256
    , 273
    (1979);  Kirchberg v.  Feenstra,  
    450 U.S. 455
    , 461  (1981);
    Hogan, 
    458 U.S. at 724
    ; J.E.B. v. Alabama ex  rel. T.B., 
    511 U.S. 127
    , 136-37 (1994).
    -66-
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    to the achievement of those objectives.  E.g., Hogan, 
    458 U.S. at 724
    .  Applying that test,  it is clear that the  district court's
    remedial order passes constitutional muster.
    We find that the first part of the test is satisfied.
    The  governmental objectives  of "avoid[ing]  the use  of federal
    resources to support  discriminatory practices," and "provid[ing]
    individual   citizens   effective   protection    against   those
    practices,"  Cannon,  
    441 U.S. at 704
    ,  are  clearly  important
    objectives.   We also find  that judicial enforcement  of federal
    anti-discrimination   statutes   is   at   least   an   important
    governmental objective.
    Applying  the   second  prong  of   the  intermediate
    scrutiny  test, we find that  the means employed  by the district
    court  in  fashioning  relief  for the  statutory  violation  are
    clearly  substantially  related  to these  important  objectives.
    Intermediate scrutiny does not require that there be no other way
    to accomplish the objectives, but even if that were the standard,
    it  would be  satisfied in  the unique  context presented  by the
    application of Title IX to athletics.
    As explained  previously, Title  IX as it  applies to
    athletics is  distinct from other anti-discrimination  regimes in
    that  it is  impossible to  determine compliance  or to  devise a
    remedy  without counting and  comparing opportunities with gender
    explicitly in mind.   Even under the individual rights  theory of
    equal  protection, reaffirmed in Adarand, --- U.S. at ---, 115 S.
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    Ct. at 2112 (the  equal protection guarantee "protect[s] persons,
    not groups"),  the only way to determine whether the rights of an
    individual  athlete  have  been   violated  and  what  relief  is
    necessary to remedy the  violation is to engage in  an explicitly
    gender-conscious comparison.  Accordingly, even assuming that the
    three-part  test  creates  a gender  classification  that  favors
    women, allowing consideration of gender in determining the remedy
    for  a  Title  IX  violation serves  the  important  objective of
    "ensur[ing]   that   in    instances   where   overall   athletic
    opportunities decrease, the actual opportunities available to the
    underrepresented gender  do not."   Kelley, 
    35 F.3d at 272
    .   In
    addition, a gender-conscious  remedial scheme is constitutionally
    permissible  if  it  directly   protects  the  interests  of  the
    disproportionately burdened gender.   See Hogan, 
    458 U.S. at 728
    ("In   limited   circumstances,  a   gender-based  classification
    favoring  one  sex can  be  justified  if  it  intentionally  and
    directly assists  members of  the sex that  is disproportionately
    burdened.").
    Under  Brown's interpretation of the three-part test,
    there can never be a  remedy for a violation of Title  IX's equal
    opportunity  mandate.   In concluding  that the  district court's
    interpretation and  application of the three-part  test creates a
    quota,  Brown errs, in part,  because it fails  to recognize that
    (i) the substantial proportionality test of prong one is only the
    starting point, and not the conclusion, of the analysis; and (ii)
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    prong  three is  not implicated  unless a  gender-based disparity
    with  respect to athletics  participation opportunities  has been
    shown to exist.  Where such a disparity has been established, the
    inquiry under prong three is whether the athletics interests  and
    abilities   of  the   underrepresented  gender   are   fully  and
    effectively accommodated, such that  the institution may be found
    to comply with Title IX, notwithstanding the disparity.23
    Of course,  a remedy that requires  an institution to
    cut, add, or elevate the  status of athletes or entire teams  may
    impact the genders differently, but this will be so only if there
    is   a   gender-based  disparity   with   respect  to   athletics
    opportunities to  begin with, which  is the only  circumstance in
    which  prong three  comes into play.   Here, however,  it has not
    been shown that Brown's men students will be disadvantaged by the
    full and  effective accommodation of the  athletics interests and
    abilities of its women students.
    VI.
    VI.
    Brown assigns error to the district court's exclusion
    of  certain  evidence  pertaining   to  the  relative   athletics
    interests of  men  and women.    Reviewing the  district  court's
    23.  Under  the three-part  test,  the institution  may  also
    excuse the disparity under prong  two, by showing a  "history
    and   continuing  practice  of  program  expansion  which  is
    demonstrably  responsive  to   the  developing  interest  and
    abilities of the [underrepresented  gender]," 44 Fed. Reg. at
    71,418,  in which  case the  compliance inquiry  ends without
    reaching  prong three.    It has  been determined  that Brown
    cannot avail itself of  this defense.  See Cohen  III, 
    879 F. Supp. at 211
    .
    -69-
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    evidentiary rulings for  abuse of  discretion, see  Sinai v.  New
    England Tel. and Tel. Co., 
    3 F.3d 471
    , 475 (1st Cir. 1993), cert.
    denied, --- U.S.  ---, 
    115 S. Ct. 597
     (1994), we find none.
    Brown first contends that  the court erred in barring
    cross-examination of plaintiffs' expert Dr. Sabor on the issue of
    why  girls drop out of  sports before reaching  college.  Because
    Dr. Sabor's direct testimony  did not address this issue,  it was
    within the district court's discretion to limit cross-examination
    "to the subject matter of the direct examination."  Fed. R. Evid.
    611(b); see Ferragama v. Chubb Life Ins. Co. of Am.,  
    94 F.3d 26
    ,
    28 (1st Cir. 1996).
    Brown  also   suggests  that  the   district  court's
    exclusion of statistical  and survey data  offered in support  of
    its relative interests argument  constitutes error.  Although the
    district court  excluded as full  exhibits two studies,  the NCAA
    Gender Equity Study and  the results of an undergraduate  poll on
    student interest in athletics, it nevertheless permitted  Brown's
    experts to rely  on the data contained in these  two reports as a
    basis  for  their expert  opinions.24    Because Brown's  experts
    24.  Brown  also contends  that the  district court  erred in
    excluding the NCAA Annual Report.   Appellant's Br. at 56-57.
    Brown merely asserts, however, that the "study was admissible
    under Rule 803," 
    id. at 57
    , and offers no explanation  as to
    how it was prejudiced by the exclusion.  Accordingly, we deem
    the argument waived.  Ryan v. Royal Ins. Co. of Am., 
    916 F.2d 731
    , 734 (1st Cir. 1990) ("It is settled in this circuit that
    issues  adverted  to  on  appeal  in  a  perfunctory  manner,
    unaccompanied by some developed argumentation, are deemed  to
    have been abandoned.") (citations omitted).
    -70-
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    relied  upon the excluded data in providing their opinions on the
    issue  of  a gender-based  differential  in  student interest  in
    athletics,  the evidence  was before  the trier  of fact  and any
    error was, therefore, harmless.  See McDonough Power Equip., Inc.
    v.  Greenwood, 
    464 U.S. 548
    ,  553 (1984)  (instructing appellate
    courts  to  "ignore  errors  that  do  not  affect the  essential
    fairness of the trial").
    VII.
    VII.
    It  does   not   follow  from   our   statutory   and
    constitutional  analyses that  we  endorse the  district  court's
    remedial order.   Although we decline Brown's invitation  to find
    that the district court's  remedy was an abuse of  discretion, we
    do find that  the district  court erred in  substituting its  own
    specific  relief  in  place of  Brown's  statutorily  permissible
    proposal to comply  with Title  IX by cutting  men's teams  until
    substantial proportionality was achieved.
    In Cohen II we stated that it  is "established beyond
    peradventure  that,  where   no  contrary  legislative  directive
    appears, the federal judiciary  possesses the power to  grant any
    appropriate  relief on  a cause  of action  appropriately brought
    pursuant  to a  federal  statute."    991  F.2d  at  901  (citing
    Franklin,  
    503 U.S. at 70-71
    ).   We also  observed, however, that
    "[w]e  are   a  society  that  cherishes   academic  freedom  and
    recognizes  that  universities  deserve  great  leeway  in  their
    operations."  991  F.2d at 906 (citing Wynne v.  Tufts Univ. Sch.
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    of Med.,  
    976 F.2d 791
    ,  795 (1st Cir.  1992), cert.  denied, 
    507 U.S. 1030
     (1993); Lamphere v. Brown Univ., 
    875 F.2d 916
    , 922 (1st
    Cir.  1989)).   Nevertheless,  we have  recognized that  academic
    freedom does not embrace the freedom to discriminate.  Villanueva
    v.  Wellesley  College,  
    930 F.2d 124
    ,  129  (1st  Cir.  1991)
    (citations omitted).
    The district court itself  pointed out that Brown may
    achieve compliance with Title IX in a number of ways:
    It  may  eliminate  its athletic  program
    altogether, it may elevate or  create the
    requisite number of women's positions, it
    may  demote  or  eliminate the  requisite
    number  of  men's  positions,  or  it may
    implement   a    combination   of   these
    remedies.  I leave it entirely to Brown's
    discretion to decide how it  will balance
    its    program     to    provide    equal
    opportunities  for  its  men   and  women
    athletes.    I  recognize  the  financial
    constraints Brown faces; however, its own
    priorities will necessarily determine the
    path to compliance it elects to take.
    Cohen III, 
    879 F. Supp. at 214
    ; see also  Cohen II, 991 F.2d  at
    898  n.15 (noting that a school may achieve compliance with Title
    IX by "reducing opportunities for the overrepresented gender").
    With  these precepts  in mind,  we first  examine the
    compliance plan Brown submitted to the district court in response
    to  its order.    We then  consider  the district  court's  order
    rejecting  Brown's plan  and the  specific relief ordered  by the
    court in its place.
    Brown's proposed  compliance plan stated its  goal as
    follows:
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    The  plan  has one  goal:    to make  the
    gender   ratio  among   University-funded
    teams     at      Brown     substantially
    proportionate  to the gender ratio of the
    undergraduate  student body.   To  do so,
    the   University   must   disregard   the
    expressed   athletic  interests   of  one
    gender  while  providing  advantages  for
    others.     The  plan   focuses  only  on
    University-funded  sports,  ignoring  the
    long  history of  successful donor-funded
    student teams.
    Brown's Plan at 1 (emphasis added).
    In its introduction, Brown makes clear that it "would
    prefer  to  maintain  its  current program"  and  that  the  plan
    submitted
    is  inconsistent with  Brown's philosophy
    to the  extent that it  grants advantages
    and  enforces disadvantages  upon student
    athletes solely because  of their  gender
    and curbs the historic role of coaches in
    determining the number of  athletes which
    can   be   provided  an   opportunity  to
    participate.         Nevertheless,    the
    University  wishes to  act in  good faith
    with    the    order   of    the   Court,
    notwithstanding  issues  of fact  and law
    which are currently in dispute.
    Id. at 2.
    Brown states that it  "seeks to address the  issue of
    proportionality  while  minimizing  additional  undue  stress  on
    already strained physical and fiscal resources."  Id.
    The general provisions of  the plan may be summarized
    as  follows: (i) Maximum squad sizes  for men's teams will be set
    and enforced.  (ii) Head  coaches of all teams must  field squads
    that  meet  minimum  size  requirements.    (iii)  No  additional
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    discretionary  funds will be used  for athletics.   (iv) Four new
    women's junior varsity teams -- basketball, lacrosse, soccer, and
    tennis  --  will  be  university-funded.   (v)  Brown  will  make
    explicit a de facto junior varsity team for women's field hockey.
    Id. at 3-4.
    The   plan   sets   forth    nine   steps   for   its
    implementation,  id. at  4-5, and  concludes that  "if  the Court
    determines   that  this   plan   is  not   sufficient  to   reach
    proportionality, phase two will be the elimination of one or more
    men's teams," id. at 5.
    The district court found  Brown's plan to be "fatally
    flawed" for two reasons.  First, despite the fact that 76 men and
    30  women participated  on  donor-funded  varsity teams,  Brown's
    proposed  plan disregarded  donor-funded varsity  teams. District
    Court Order  at 5-6.   Second, Brown's plan  "artificially boosts
    women's  varsity numbers  by adding  junior varsity  positions on
    four women's teams."   Id. at 6.  As to the  propriety of Brown's
    proposal  to  come  into compliance  by  the  addition  of junior
    varsity positions, the district court held:
    Positions  on   distinct  junior  varsity
    squads do not qualify as "intercollegiate
    competition"   opportunities  under   the
    Policy Interpretation and  should not  be
    included in defendants'  plan.  As  noted
    in   Cohen,   
    879 F. Supp. at 200
    ,
    "intercollegiate"  teams  are those  that
    "regularly    participate    in   varsity
    competition."  See 44 Fed. Reg. at 71,413
    n.1.      Junior   varsity   squads,   by
    definition, do not  meet this  criterion.
    Counting   new  women's   junior  varsity
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    positions  as  equivalent  to men's  full
    varsity positions flagrantly violates the
    spirit  and letter  of Title  IX;   in no
    sense is an  institution providing  equal
    opportunity   if   it   affords   varsity
    positions  to  men  but   junior  varsity
    positions to women.
    District Court Order at 6 (footnote omitted).
    The district court found that these two flaws  in the
    proposed plan were sufficient to show that Brown had "not made  a
    good  faith effort to comply with this  Court's mandate."  Id. at
    8.          In criticizing  another  facet of  Brown's plan,  the
    district court pointed out that
    [a]n institution does  not provide  equal
    opportunity  if it  caps its  men's teams
    after  they  are well-stocked  with high-
    caliber recruits  while requiring women's
    teams to boost numbers by accepting walk-
    ons.   A  university  does not  treat its
    men's and  women's  teams equally  if  it
    allows  the coaches of men's teams to set
    their  own  maximum  capacity limits  but
    overrides  the  judgment  of  coaches  of
    women's teams on the same matter.
    Id. at 8-9.
    After rejecting Brown's proposed plan, but bearing in
    mind Brown's stated objectives,  the district court fashioned its
    own remedy:
    I  have  concluded  that  Brown's  stated
    objectives  will  be  best  served  if  I
    design  a remedy to meet the requirements
    of prong three rather than prong one.  In
    order to bring Brown into compliance with
    prong one under  defendants' Phase II,  I
    would have  to order Brown  to cut enough
    men's  teams  to eradicate  approximately
    213  men's  varsity   positions.     This
    extreme  action is  entirely unnecessary.
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    The easy answer lies in ordering Brown to
    comply with prong  three by upgrading the
    women's gymnastics,  fencing, skiing, and
    water  polo  teams  to  university-funded
    varsity status.  In this way, Brown could
    easily achieve prong three's  standard of
    "full and effective accommodation  of the
    underrepresented sex."  This remedy would
    entail   upgrading   the   positions   of
    approximately  40  women.  In   order  to
    finance   the   40   additional   women's
    positions, Brown certainly will  not have
    to  eliminate as  many as  the 213  men's
    positions that would be cut under Brown's
    Phase  II  proposal.    Thus,  Brown will
    fully comply with Title IX by meeting the
    standards   of   prong   three,   without
    approaching satisfaction of the standards
    of prong one.
    It is  clearly in  the  best interest  of
    both the male and the  female athletes to
    have an increase in women's opportunities
    and   a   small    decrease   in    men's
    opportunities, if necessary, rather than,
    as  under Brown's  plan,  no increase  in
    women's   opportunities   and   a   large
    decrease    in    men's    opportunities.
    Expanding women's  athletic opportunities
    in  areas where  there is  proven ability
    and interest is the very purpose of Title
    IX  and  the simplest,  least disruptive,
    route to Title IX compliance at Brown.
    Id. at 11-12.
    The  district  court  ordered Brown  to  "elevate and
    maintain women's gymnastics, women's  water polo, women's skiing,
    and women's fencing to university-funded varsity status."  Id. at
    12.   The court stayed this part  of the order pending appeal and
    further ordered that, in  the interim, the preliminary injunction
    prohibiting  Brown  from  eliminating  or  demoting  any existing
    women's varsity team would remain in effect.  Id.
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    We  agree  with  the  district   court  that  Brown's
    proposed  plan fell  short of  a good  faith  effort to  meet the
    requirements of Title IX as explicated  by this court in Cohen II
    and as applied by the district court on remand.  Indeed, the plan
    is replete with argumentative  statements more appropriate for an
    appellate brief.  It  is obvious that Brown's plan  was addressed
    to this court,  rather than to offering a  workable solution to a
    difficult problem.
    It  is clear, nevertheless,  that Brown's proposal to
    cut men's teams is a permissible means of effectuating compliance
    with  the statute.   Thus,  although  we understand  the district
    court's reasons  for substituting  its own specific  relief under
    the circumstances at the time, and although the district  court's
    remedy  is within  the statutory  margins and  constitutional, we
    think that  the district court  was wrong  to reject  out-of-hand
    Brown's alternative plan  to reduce the  number of men's  varsity
    teams.  After all,  the district court itself stated that  one of
    the  compliance options available to  Brown under Title  IX is to
    "demote or  eliminate the  requisite number of  men's positions."
    Cohen III, 
    879 F. Supp. at 214
    .  Our respect for academic freedom
    and  reluctance  to  interject  ourselves  into  the  conduct  of
    university  affairs counsels  that we  give universities  as much
    freedom as possible in conducting their operations consonant with
    constitutional  and statutory limits.  Cohen II, 991 F.2d at 906;
    Villanueva, 
    930 F.2d at 129
    .
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    Brown therefore should be afforded the opportunity to
    submit another plan for compliance with Title IX.  The context of
    the  case has  changed in  two significant  respects since  Brown
    presented its original plan.  First, the substantive issues  have
    been decided adversely to Brown.  Brown is no longer an appellant
    seeking a favorable result in the Court  of Appeals.  Second, the
    district  court is not under  time constraints to  consider a new
    plan and fashion a remedy so as to expedite appeal.  Accordingly,
    we remand the case to the district court so that Brown can submit
    a  further plan for its consideration.  In all other respects the
    judgment  of the  district court  is  affirmed.   The preliminary
    injunction issued by the district court in Cohen I,  
    809 F. Supp. at 1001
    , will remain in effect pending a final remedial order.
    VIII.
    VIII.
    There can be no  doubt that Title IX has  changed the
    face of women's sports as well  as our society's interest in  and
    attitude  toward women athletes  and women's sports.   See, e.g.,
    Frank DeFord, The Women  of Atlanta, Newsweek, June 10,  1996, at
    62-71; Tharp, supra,  at 33;  Robert Kuttner,  Vicious Circle  of
    Exclusion,  Washington  Post, September  4,  1996,  at  A15.   In
    addition,  there  is  ample  evidence  that  increased  athletics
    participation opportunities for women and  young girls, available
    as a result of Title IX enforcement, have had salutary effects in
    other areas of societal concern.  See DeFord, supra, at 66.
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    One  need  look   no  further  than  the   impressive
    performances  of our country's women athletes in the 1996 Olympic
    Summer Games to see that Title IX has had a dramatic and positive
    impact on the capabilities of our women athletes, particularly in
    team sports.  These Olympians represent the first full generation
    of  women  to  grow  up  under  the  aegis  of  Title  IX.    The
    unprecedented  success  of these  athletes  is due,  in  no small
    measure, to Title IX's beneficent  effects on women's sports,  as
    the athletes themselves have  acknowledged time and again.   What
    stimulated  this  remarkable change  in  the  quality of  women's
    athletic  competition  was not  a  sudden,  anomalous upsurge  in
    women's interest  in sports,  but the  enforcement of  Title IX's
    mandate of gender equity in sports.  Kuttner, supra, at A15.
    Affirmed in part, reversed  in part, and remanded for
    Affirmed in part  reversed  in part, and remanded for
    further proceedings.  No costs on appeal to either party.
    further proceedings.  No costs on appeal to either party.
    - Dissenting opinion follows -
    - Dissenting opinion follows -
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    TORRUELLA, Chief Judge (Dissenting).   Because I am not
    TORRUELLA, Chief Judge (Dissenting).
    persuaded  that the majority's  view represents the  state of the
    law today, I respectfully dissent.
    I. THE LAW OF THE CASE
    I. THE LAW OF THE CASE
    Under the doctrine of the "law of the case," a decision
    on  an issue  of law  made by the  court at  one stage  of a case
    becomes  a binding precedent to  be followed in successive stages
    of the  same  litigation except  in unusual  circumstances.   See
    Abbadessa v. Moore  Business Forms,  Inc., 
    987 F.2d 18
    , 22  (1st
    Cir. 1993); EEOC v. Trabucco, 
    791 F.2d 1
    , 2  (1st Cir. 1986).  It
    is  well established,  however, that  a  decision of  the Supreme
    Court, that is rendered between two appeals and is irreconcilable
    with the  decision on the first  appeal, must be  followed on the
    second  appeal.   See  Linkletter v.  Walker,  
    381 U.S. 618
    , 627
    (1965);  Metcalf & Eddy, Inc.  v. Puerto Rico  Aqueduct and Sewer
    Auth., 
    945 F.2d 10
    , 12 (1st  Cir. 1991), rev'd on other  grounds,
    
    506 U.S. 139
      (1993); Young v.  Herring, 
    917 F.2d 858
     (5th  Cir.
    1990);  Fogel v.  Chestnutt, 
    668 F.2d 100
    ,  109 (2d  Cir. 1981),
    cert. denied, 
    459 U.S. 828
     (1982).  I believe that we face such a
    situation in the instant case.
    A.   Adarand and Metro Broadcasting
    A.   Adarand and Metro Broadcasting
    At  the time of Cohen v. Brown University, 
    991 F.2d 888
    (1st Cir.  1993) (Cohen  II), the standard  intermediate scrutiny
    test  for discriminatory  classifications  based on  sex required
    that "a statutory classification must be substantially related to
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    an important government  objective."   Clark v.  Jeter, 
    486 U.S. 456
    , 461 (1988); see  also Mississippi Univ. for Women  v. Hogan,
    
    458 U.S. 718
    , 723-24, and  n.9 (1982); Mills  v. Habluetzel, 
    456 U.S. 91
    , 99  (1982); Craig v.  Boren, 
    429 U.S. 190
    , 197  (1976);
    Matthews v.  Lucas, 
    427 U.S. 495
    , 505-06 (1976).  As was also the
    case under  strict scrutiny review prior  to Adarand Construction
    Inc.   v.  Pena,     U.S.   ,  
    115 S. Ct. 2097
      (1995), however,
    courts applying intermediate scrutiny sometimes  allowed "benign"
    gender  classifications   on  the   grounds  that  they   were  a
    "reasonable means of compensating women as a class for past . . .
    discrimination."   Ronald D. Rotunda & John E. Novack, 3 Treatise
    on Constitutional Law    18.23, at 277; see Califano  v. Webster,
    
    430 U.S. 313
    , 317  (1977)  (allowing women  to  compute certain
    social security benefits with a more favorable formula than could
    be used by  men); Lewis v.  Cohen, 
    435 U.S. 948
     (1978)  (summary
    affirmance of a  district court decision upholding a provision of
    the Railroad Retirement Act  that allowed women to retire  at age
    60 while men could not retire until age 65).
    In Cohen II, we applied precisely  this type of benign-
    classification analysis  to what  we viewed to  be benign  gender
    discrimination by the federal government.   Although Cohen II, in
    its brief  discussion of  the  equal protection  issue, does  not
    specify the precise standard it used, the court stated that "even
    if we were to  assume . . . that the  regulation creates a gender
    classification slanted somewhat  in favor of women, we would find
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    no  constitutional infirmity."  Cohen II,  991 F.2d at 901.  Note
    that the focus is on  the government's ability to favor  women in
    this context, rather than on an "important government objective,"
    suggesting  that  the court  considered the  issue  to be  one of
    benign discrimination.  Indeed,  no governmental interest is even
    identified in Cohen II.  Furthermore, both  of the cases cited by
    the Court in Cohen II are cases in which a suspect classification
    was allowed because it  was judged benign, see id. at 901 (citing
    Metro  Broadcasting Inc.  v.  FCC, 
    497 U.S. 547
     (1990)  (race);
    Califano v. Webster, 
    430 U.S. 313
     (1977) (sex)).
    Cohen  II's  assumption that  a  regulation slanted  in
    favor of  women would be  permissible, Cohen II 991  F.2d at 901,
    and   by  implication   that   the  same   regulation  would   be
    impermissible if it favored men, was based on Metro Broadcasting,
    which  held   that  benign  race-based  action   by  the  federal
    government  was subject  to  a lower  standard than  non-remedial
    race-based action.    See Metro  Broadcasting, 
    497 U.S. at 564
    .
    Specifically, the Supreme Court announced that
    benign  race-conscious  measures mandated
    by    Congress    are    constitutionally
    permissible to the extent that they serve
    important governmental objectives  within
    the   power   of    Congress   and    are
    substantially  related to  achievement of
    those objectives.
    
    Id. at 565
      (emphasis  added).    Although  Metro  Broadcasting
    explicitly discussed race-conscious rather  than gender-conscious
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    classifications,  we applied its standard in Cohen II.  See Cohen
    II, 991 F.2d at 901.
    Since Cohen  II, however, Metro  Broadcasting has  been
    overruled, at  least in part.  See  Adarand Constr. Inc. v. Pena,
    U.S.    ,    , 
    115 S. Ct. 2097
    , 2111-12 (1995).  In  Adarand,
    the Supreme Court  held that  "all racial classifications  . .  .
    must be analyzed under strict scrutiny."  Adarand, 
    115 S. Ct. at 2113
    .   The Court in Adarand singled  out Metro Broadcasting as a
    "significant  departure"  from  much  of  the   Equal  Protection
    jurisprudence  that  had  come  before  it, in  part  because  it
    suggested that "benign" government race-conscious classifications
    should be treated less skeptically than others.  See Adarand, 
    115 S. Ct. at 2112
    .
    In Adarand,  the Supreme  Court reasoned that  "'it may
    not  always be  clear  that a  so-called  preference is  in  fact
    benign.'"   
    Id.
     (quoting Regents  of Univ. of  Cal. v. Bakke, 
    438 U.S. 265
      (1978)  (opinion of  Powell, J.)).   Additionally,  the
    Supreme Court endorsed the view that
    [a]bsent searching judicial inquiry  into the
    justification  for such  race-based measures,
    there is  simply no  way of  determining what
    classifications  are  'benign' or  'remedial'
    and   what   classifications   are  in   fact
    motivated by illegitimate  notions of  racial
    inferiority or simple racial politics.
    Id. at  2112; see also Richmond v. J.A. Croson Co., 
    488 U.S. 469
    ,
    493 (1989).
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    It  is not necessary to  equate race and  gender to see
    that the  logic of  Adarand --  counseling that we  focus on  the
    categories and  justifications proffered rather  than the  labels
    attached -- applies in the context of gender.  While cognizant of
    differences   between   race-focused  and   gender-focused  Equal
    Protection precedent,  I nevertheless think that  Adarand compels
    us  to  view  so-called  "benign"  gender-conscious  governmental
    actions  under  the  same  lens  as  any  other  gender-conscious
    governmental actions.  See Adarand, 
    115 S. Ct. at 2112
    ; see also
    United  States  v. Virginia,  116  S.Ct 2264,  2274,  2277 (1996)
    (viewing   Virginia's   benign   justification   for   a   gender
    classification  skeptically);  Shuford  v. Alabama  State  Bd. of
    Educ., 
    897 F. Supp. 1535
    , 1557   (D. Ala.  1995) (stating  that
    courts  "must look behind the  recitation of a  benign purpose to
    ensure    that    sex-based    classifications    redress    past
    discrimination").   Rather than  conduct an inquiry  into whether
    Title  IX  and  its  resulting interpretations  are  "benign"  or
    "remedial," and conscious of the fact that labels can be used  to
    hide illegitimate notions of  inferiority or simple politics just
    as easily in the context  of gender as in the context of race, we
    should now follow Adarand's lead and subject all gender-conscious
    government action to the same inquiry.25
    25.  Our  discussion  in  Cohen  II also  cited  Califano  v.
    Webster, 
    430 U.S. 313
      (1977), which has not  been explicitly
    overruled.   That case  concerned Congress'  provision, under
    the Social Security Act, for a lower retirement age for women
    than  for men,  with the  result that,  as  between similarly
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    B.   United States v. Virginia
    B.   United States v. Virginia
    A  second Supreme Court case has also made it necessary
    to  review  our decision  in  Cohen  II.    In United  States  v.
    Virginia,  
    116 S.Ct. 2264
      (1996),  the  Court  faced  an Equal
    Protection challenge  to Virginia's  practice of maintaining  the
    Virginia  Military Institute as an all  male institution.  Rather
    than  simply apply  the  traditional test  requiring that  gender
    classifications   be  "substantially  related   to  an  important
    government objective," Clark v.  Jeter 
    486 U.S. 456
    , 461  (1988),
    the Supreme Court applied a more searching "skeptical scrutiny of
    official action  denying rights  or opportunities based  on sex,"
    id., at 2274, which  requires that "[p]arties who seek  to defend
    gender-based government action  must demonstrate an  'exceedingly
    persuasive  justification'   for  that  action,"  id.     In  its
    discussion,  the  Court stated  that, in  order  to prevail  in a
    gender  case, "the State must  show at least  that the challenged
    situated male and female wage-earners, the female wage-earner
    would be awarded higher monthly social security payments, id.
    at 314-16.   In that  case, Congress specifically  found that
    more  frequent and  lower age  limits were  being applied  to
    women than to men in the labor market.  Id. at 319.  This led
    the  Supreme Court to characterize the  provision at issue as
    remedial rather  than benign,  noting that the  provision had
    been  repealed  in   1972,  roughly  contemporaneously   with
    "congressional  [anti-discrimination] reforms  [that]  . .  .
    have  lessened  the  economic   justification  for  the  more
    favorable benefit computation" for  women.  Id. at 320.   The
    instant case  should be  distinguished from Califano  for two
    reasons.  First, Califano did  not necessarily rule on benign
    classifications,  as Metro  Broadcasting and  Adarand clearly
    did.  Second, Califano, unlike the instant case, contained an
    "exceedingly  persuasive  justification"   for  its   gender-
    conscious state action.
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    classification  serves important governmental objectives and that
    the  discriminatory means employed  are substantially  related to
    the  achievement of  those objectives."   Id.  at 2275  (internal
    quotations  omitted)  (emphasis  added).    Being  "substantially
    related  to  an  important government  objective,"  therefore, is
    considered  a necessary but not sufficient  condition.  The Court
    also requires a  focus on "whether the proffered justification is
    "exceedingly persuasive."  Id.
    Virginia   "drastically   revise[d]   our   established
    standards for reviewing sex-based  classifications."  Id. at 2291
    (Scalia, J. dissenting).  "Although the Court in two places . . .
    asks whether  the State has demonstrated  that the classification
    serves   important   governmental   objectives   and   that   the
    discriminatory means  employed are  substantially related  to the
    achievement of those objectives . . . the Court never answers the
    question presented  in anything  resembling that  form."  Id.  at
    2294  (citations omitted).   "[T]he  Court proceeds  to interpret
    'exceedingly   persuasive  justification'   in  a   fashion  that
    contradicts  the reasoning  of Hogan  and our  other precedents."
    Id.
    What is important for our  purposes is that the Supreme
    Court  appears  to  have  elevated  the  test  applicable  to sex
    discrimination  cases  to  require  an   "exceedingly  persuasive
    justification."   This is evident  from the language  of both the
    majority opinion and the dissent in Virginia.
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    This  is  not  just  a  matter  of  semantics.    Metro
    Broadcasting,  and our application  of its  intermediate scrutiny
    standard in Cohen II, omitted the additional "skeptical scrutiny"
    requirement  of an  "exceedingly  persuasive  justification"  for
    gender-based government  action.  Compare Virginia,  
    116 S.Ct. at
    2274 (citing J.E.B. v.  Alabama ex rel. T.B., 
    511 U.S. 127
    , 136-
    37, and n.6 (1994)),  and Mississippi Univ. for Women  v. Holden,
    
    458 U.S. 718
    , 724 (1982),  with Metro Broadcasting,  
    497 U.S. at 564-65
    .
    I conclude,  therefore, that Adarand  and Virginia  are
    irreconcilable with the analysis in Cohen II and, accordingly, we
    must follow the  guidance of  the Supreme Court  in this  appeal.
    Under the new standards  established in those cases, Cohen  II is
    flawed both because it applies  a lenient version of intermediate
    scrutiny that  is impermissible following Adarand  and because it
    did not apply the  "exceedingly persuasive justification" test of
    Virginia.    We  must,  as  Brown  urges,   reexamine  the  Equal
    Protection challenge  to the  three-prong test as  interpreted by
    the district court.
    C. Preliminary Injunction
    C. Preliminary Injunction
    In addition  to the  above reasons for  considering the
    merits of this appeal, it is important to note that  Cohen II was
    an appeal from a  preliminary injunction.  "When an  appeal comes
    to  us in that posture,  the appellate court's  conclusions as to
    the merits of  the issues presented on preliminary injunction are
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    to be understood as statements of  probable outcomes, rather than
    as comprising the ultimate law of the case."  A.M. Capen s Co. v.
    American Trading and Prod. Co., 
    74 F.3d 317
    , 322 (1st Cir. 1996)
    (internal  quotations omitted);  see  also  Narrangansett  Indian
    Tribe v. Guilbert, 
    934 F.2d 4
    , 6 (1st Cir. 1991).
    The  binding  authority  of  Cohen  II,  therefore,  is
    lessened  by the fact  that it was  an appeal from  a preliminary
    injunction.  First, we now have a full record before us and a set
    of  well-defined  legal  questions  presented  by the  appellant.
    Trial  on the merits has  served to focus  these questions and to
    provide  background that allows us to consider these questions in
    the proper context  and in detail.  In its  decision in Cohen II,
    this court  recognized and, indeed, emphasized the  fact that its
    holding was  only preliminary.   Cohen  II, 991  F.2d at  902 ("a
    party losing the battle on likelihood of success  may nonetheless
    win the war  at a succeeding trial").   Rather than  turning that
    ruling into a  permanent one,  we should review  the question  in
    light of the full set of facts now available.
    Second, the standard of review has  changed.  The Cohen
    II  court stated that it  was adopting a  deferential standard of
    review, and that "if . . . the district court made no clear error
    of law  or fact, we will overturn its calibration  . . . only for
    manifest abuse  of discretion."  Id. at 902.  The test applied by
    the court was based  on "(1) the movant's probability  of victory
    on  the merits;  (2) the  potential for  irreparable harm  if the
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    injunction is refused;  (3) the balance  of interests as  between
    the parties . . . and (4) the public interest."  Id.  The case is
    now before  us on appeal  from the merits  and we must  review it
    accordingly.  For  the purposes  of this appeal,  we must  review
    findings of  fact under  a clearly  erroneous standard,  Reich v.
    Newspapers of New  England, Inc.,  
    44 F.3d 1060
    ,  1069 (1st  Cir.
    1995)  and findings of law de novo, Portsmouth v. Schlesinger, 
    57 F.3d 12
    , 14 (1st Cir. 1995).   Because the standard has changed,
    it  is conceivable that the  result of the  analysis will change,
    making review appropriate.
    II. BROWN'S EQUAL PROTECTION CHALLENGE
    II. BROWN'S EQUAL PROTECTION CHALLENGE
    Appellees have  argued that  the three-prong test  does
    not  create a  gender classification  because the  classification
    applies to  both women and  men.   Although I agree  that by  its
    words, the test would apply to men at institutions where they are
    proportionately underrepresented in intercollegiate  athletics, I
    cannot  accept  the  argument   that,  via  this  provision,  the
    Government  does not classify its citizens by gender.  See United
    States v. Virginia,     U.S.    , 
    116 S. Ct. 2264
    , 2274-76 (1996)
    (applying Equal  Protection  review to  "gender-based  government
    action" where Commonwealth of  Virginia attempted to maintain two
    purportedly  equal  single-sex  institutions).    Cf.  Loving  v.
    Virginia,  
    388 U.S. 1
    , 8-9  (1967) (stating that  even though the
    statute  at issue applied equally to  members of different racial
    classifications,   it   still   implicated   race-related   Equal
    -89-
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    Protection  concerns,  since the  statute itself  contained race-
    conscious   classifications).    The   fact  of  gender-conscious
    classification, even with equal  enforcement with respect to both
    genders, requires  the application of a higher  level of scrutiny
    than  rational  basis   review.    We  cannot   pretend  that  an
    interpretation of a statute that contains explicit categorization
    according  to gender  and that  has intentional  gender-conscious
    effect does not represent  gender-based government action.  Equal
    Protection  is   implicated  where  the  claim  is  made  that  a
    classification made  by the government  intentionally subjects an
    individual   to  treatment  different   from  similarly  situated
    individuals  based on  an impermissible  characteristic,  such as
    race, national  origin, or gender.   Ronald D. Rotunda  & John E.
    Nowak, 3  Treatise on Constitutional Law    18.2, at 7-8  (2d ed.
    1992).
    A.   The  District Court's  Construction of  the Three-
    The  District Court's  Construction of  the Three-
    Prong Test
    Prong Test
    1. Prong One
    1. Prong One
    A central issue  in this  case is the  manner in  which
    athletic  "participation opportunities" are  counted.  During the
    1990-91  academic year,  Brown fielded  16 men s  and  15 women s
    varsity teams on  which 566 men and  328 women participated.   By
    the 1993-94 year, there were 12 university-funded men s teams and
    13 university funded women s teams.  These teams included 479 men
    and 312 women.   Based  on an analysis  of membership in  varsity
    teams,  the  district  court   concluded  that  there  existed  a
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    disparity   between   female  participation   in  intercollegiate
    athletics and female student enrollment.
    Even assuming that membership numbers in varsity sports
    is a  reasonable proxy for participation opportunities  -- a view
    with which I do not concur -- contact sports should be eliminated
    from  the  calculus.   The regulation  at  34 C.F.R.    106.41(b)
    (1995) provides that an academic institution may operate separate
    teams  for members of each sex "where  selection of such teams is
    based  upon  competitive  skill or  the  activity  involved  is a
    contact sport."  34 C.F.R.   106.41(b).  When a team is sponsored
    only  for one sex, however, and where "athletic opportunities for
    members  of that sex have previously been limited, members of the
    excluded  sex must  be allowed  to try-out  for the  team offered
    unless  the sport  involved is  a contact  sport," 
    id.
      (emphasis
    added).   The  regulation, therefore,  allows schools  to operate
    single-sex  teams  in contact  sports.  In counting participation
    opportunities,  therefore, it does  not make sense  to include in
    the  calculus  athletes  participating  in  contact  sports  that
    include only men s teams.   For example, if a  university chooses
    to  sponsor a football  team, it is  permitted to  sponsor only a
    men s team.   Not  all sports  are  the same  and the  university
    should be given the flexibility to determine which activities are
    most  beneficial  to  its student  body.    By  including in  its
    accounting a  contact sport that  requires very large  numbers of
    participants, e.g., football, the district court skews the number
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    of  athletic  participants  --   making  it  impossible  for  the
    university to  provide  both men's  and  women's teams  in  other
    sports.
    If  the  athletes competing  in  sports  for which  the
    university is  permitted to  field single-sex teams  are excluded
    from the  calculation of  participation rates, the  proportion of
    women  participants would  increase  dramatically  and prong  one
    might be  satisfied.  If so, the inquiry ends and Brown should be
    judged to be in compliance.
    2. Prong Two
    2. Prong Two
    The  district court concluded, and the majority appears
    to  agree, that Brown failed to satisfy prong two because "merely
    reducing program offerings to the overrepresented gender does not
    constitute  program expansion  for the  underrepresented gender."
    Majority Opinion at  18.  This  is a curious  result because  the
    entire three-prong test is based on relative participation rates.
    Prong one, for example, requires that participation opportunities
    be provided  proportionately to enrollment, but  does not mandate
    any absolute number of such opportunities.   The district court s
    conclusion with  respect to  prong two, however,  implies that  a
    school  must not only demonstrate that the proportion of women in
    their program  is growing over time,  it must also show  that the
    absolute number of women participating is increasing.26
    26.  This  requirement presents  a  dilemma for  a school  in
    which  women  are  less  interested in  athletics,  as  Brown
    contends is the case.  Under such conditions, a school may be
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    Under  the  district court's  interpretation,  a school
    facing  budgetary constraints must, in order to comply with prong
    two, increase the opportunities available to the underrepresented
    gender,  even  if  it  cannot  afford  to  do  so.   Rather  than
    respecting  the school s  right to  determine the  role athletics
    will  play in the future --  including reducing the opportunities
    available  to   the  formerly  overrepresented  gender to  ensure
    proportionate  opportunities  --  the  district   court  and  the
    majority  demand  that  the  absolute  number   of  opportunities
    provided to the underrepresented  gender be increased.  I  see no
    possible  justification for this interpretation -- the regulation
    is  intended to  protect against  discrimination, not  to promote
    athletics  on  college campuses.   A  school  is not  required to
    sponsor an  athletic program of any  particular size.  It  is not
    for the courts, or  the legislature, for that matter,  to mandate
    programs of a given  size.  The most that can be demanded is that
    athletics be provided in a non-discriminatory manner.
    Furthermore,  the  claim   that  a  reduction   in  the
    opportunities  given   to  the   overrepresented  gender  is   an
    unacceptable  method of  coming  into compliance  with the  three
    prong test  is contrary  to both  Cohen  II and  comments of  the
    majority opinion.  The majority quotes approvingly from Cohen  v.
    Brown  Univ.,  
    879 F. Supp. 185
      (D.R.I.  1995) (Cohen  III), to
    unable to  succeed under the  second prong because  there may
    not  be  enough  interested  female  students  to  achieve  a
    continuing increase in the number of female participants.
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    demonstrate the many  ways in  which a  university might  achieve
    compliance:
    It  may  eliminate  its athletic  program
    altogether, it may elevate or  create the
    requisite number of women s positions, it
    may  demote  or  eliminate the  requisite
    number  of  men s  positions,  or  it may
    implement   a    combination   of   these
    remedies.
    Majority Opinion at 70  (quoting Cohen III).  This  conclusion is
    consistent  with Cohen II, which states that a school may achieve
    compliance  by  reducing  opportunities for  the  overrepresented
    gender.  See Cohen II,  991 F.2d at 898 n.15.  I fail  to see how
    these  statements can  be reconciled  with  the claim  that Brown
    cannot satisfy prong two by  reducing the number of participation
    opportunities for men.
    3. Prong Three
    3. Prong Three
    Prong three of the  three-prong test states that, where
    an institution does not comply with prongs one or two, compliance
    will be assessed on the basis of
    whether it  can be demonstrated  that the
    interests and abilities of the members of
    th[e]  [proportionately underrepresented]
    sex  have  been  fully   and  effectively
    accommodated by the present program.
    
    44 Fed. Reg. 71,413
    , 71,418 (December 11, 1979).
    According  to the  district  court,  Brown's  athletics
    program   violates   prong   three   because   members   of   the
    proportionately underrepresented sex  have demonstrated  interest
    sufficient for a  university-funded varsity team  that is not  in
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    fact being funded.  The district court asserts that this is not a
    quota.   Brown, on  the other  hand, argues that  prong three  is
    satisfied  when (1) the interests and abilities of members of the
    proportionately underrepresented gender  (2) are accommodated  to
    the same degree as the proportionately overrepresented gender.
    The  district  court's  narrow, literal  interpretation
    should  be  rejected  because  prong  three  cannot  be  read  in
    isolation.   First,  as Brown  points  out, the  Regulation  that
    includes prong three provides that, in assessing compliance under
    the regulation, "the governing principle in this area is that the
    athletic interests and  abilities of male and female  students be
    equally  effectively accommodated."    Policy Interpretation,  
    44 Fed. Reg. 71,413
    , 71,414.  Thus, Brown contends, to meet "fully"
    -- in  an absolute  sense --  the interests  and abilities  of an
    underrepresented   gender,  while   unmet   interest  among   the
    overrepresented  gender continues, would contravene the governing
    principle of "equally effective accommodat[ion]" of the interests
    and abilities of students of both genders.
    It  is   also  worthwhile  to  note   that  to  "fully"
    accommodate the  interests and abilities of  the underrepresented
    sex  is  an extraordinarily  high  --  perhaps impossibly  so  --
    requirement.   How could an academic institution with a large and
    diverse  student  body  ever  "fully"  accommodate  the  athletic
    interests  of its  students?   Under  even  the largest  athletic
    program,  it would  be surprising  to find  that there  is not  a
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    single student who would  prefer to participate in  athletics but
    does not do so because the school does not offer a program in the
    particular sport that interests the student.  To read fully in an
    absolute sense would make the third prong virtually impossible to
    satisfy and, therefore, an irrelevant addition to the test.
    This  difficulty  was  recognized in  Cohen  II,  which
    stated  that "the mere fact  that there are  some female students
    interested  in a sport does not ipso  facto require the school to
    provide  a varsity  team  in  order  to  comply  with  the  third
    benchmark."  Cohen II 991 F.2d at 898.  The balance that Cohen II
    advocates  would require the institution to ensure "participatory
    opportunities  . .  .  when, and  to  the extent  that, there  is
    sufficient interest and ability among the members of the excluded
    sex to sustain a viable team."  Id. (internal citations omitted).
    This standard  may be practical  for certain sports  that require
    large  teams, but what of  individual sports?   A "viable" tennis
    team may require only a single player.  The same could be said of
    any individual  sport, including golf, track  and field, cycling,
    fencing,  archery, and  so  on.   Therefore,  we still  have  the
    problem  that  to  "fully   accommodate"  the  interests  of  the
    underrepresented sex may be impossible under the district court's
    interpretation.
    In light of the above, Brown argues that prong three is
    in  fact ambiguous with respect  to whether "fully"  means (1) an
    institution must meet 100% of the underrepresented gender's unmet
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    reasonable interest and ability, or (2)  an institution must meet
    the  underrepresented  gender's  unmet  reasonable  interest  and
    ability as fully as it meets those of the overrepresented gender.
    I  agree  with  Brown  that,  in  the  context  of  OCR's  Policy
    Interpretation, prong three is susceptible  to at least these two
    plausible interpretations.
    Additionally, section 1681(a),  a provision enacted  by
    Congress as part of  Title IX itself, casts doubt on the district
    court's reading of prong three.   20 U.S.C.   1681(a) (1988).  As
    Brown points out, Title IX, of which the Policy Interpretation is
    an   administrative   interpretation,   contains  language   that
    prohibits the ordering of preferential  treatment on the basis of
    gender due  to a failure of a program to substantially mirror the
    gender ratio  of an institution.   Specifically, with  respect to
    Title  IX's guarantee  that no  person shall  be excluded  on the
    basis  of sex from "participation  in, denied the  benefits of or
    subjected  to  discrimination  under  any  education  program  or
    activity receiving  Federal financial  assistance,"  20 U.S.C.
    1681(a),
    [n]othing  contained  [therein] shall  be
    interpreted  to  require any  educational
    institution  to   grant  preferential  or
    disparate treatment to the members of one
    sex on account of an  imbalance which may
    exist with respect to the total number or
    percentage   of   persons   of  the   sex
    participating   in   or   receiving   the
    benefits   of  any   federally  supported
    program or activity,  in comparison  with
    the total number or percentage of persons
    of that sex in any community.
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    Id.   1681(b).   Section 1681(b) provides yet another  reason why
    the  district court's reading  of prong three  is troublesome and
    why Brown's reading is a reasonable alternative.
    Since  the applicable  regulation, 34 C.F.R.    106.41,
    and  policy   interpretation,  
    44 Fed. Reg. 71,418
    ,  are  not
    manifestly  contrary to the objectives of  Title IX, and Congress
    has  specifically delegated  to an  agency the  responsibility to
    articulate standards governing a  particular area, we must accord
    the  ensuing regulation considerable  deference.  Chevron, U.S.A.
    v. Natural Resources  Defense Council,  Inc., 
    467 U.S. 837
    ,  844
    (1984).   That notwithstanding, where -- as here -- the resulting
    regulation   is   susceptible   to  more   than   one  reasonable
    interpretation, we  owe no  such deference to  the interpretation
    chosen where  the choice is  made not  by the agency  but by  the
    district  court.    Therefore,  like  other  cases  of  statutory
    interpretation, we should review  the district court's reading de
    novo.
    B.   The  District  Court's   Interpretation  and   the
    B.   The  District  Court's   Interpretation  and   the
    Resulting Equal Protection Problem
    Resulting Equal Protection Problem
    The  district court's interpretation  of prongs one and
    three creates an Equal Protection problem, which I analyze in two
    steps.   First,  the  district court's  interpretation creates  a
    quota  scheme.   Second,  even assuming  such  a quota  scheme is
    otherwise  constitutional,  appellees  have  not  pointed  to  an
    "exceedingly  persuasive justification," see  Virginia, 
    116 S.Ct. at 2274
    , for this particular quota scheme.
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    1. The Quota
    1. The Quota
    I  believe that the  three prong test,  as the district
    court interprets  it, is a  quota.   I am in  square disagreement
    with the majority, who believe that "[n]o aspect of the  Title IX
    regime  at issue  in  this  case  .  .  .  mandates  gender-based
    preferences or quotas."   Majority  Opinion at 29.   Put  another
    way,  I agree  that  "Title  IX  is  not  an  affirmative  action
    statute,"  
    id.,
     but I believe  that is exactly  what the district
    court has made of it.   As interpreted by the district court, the
    test constitutes an affirmative action, quota-based scheme.
    I  am less interested  in the actual  term "quota" than
    the legally cognizable characteristics that render a quota scheme
    impermissible.   And  those characteristics  are present  here in
    spades.  I  am not persuaded by the majority's  argument that the
    three-part test does not  constitute a quota because it  does not
    permit an agency or court to find a violation solely on the basis
    of prong one of the test; instead,  an institution must also fail
    prongs  two and  three.   As Brown  rightly argues,  the district
    court's  application of  the three-prong  test requires  Brown to
    allocate its athletic resources to meet the as-yet-unmet interest
    of  a member  of the  underrepresented sex,  women in  this case,
    while   simultaneously  neglecting   any  unmet   interest  among
    individuals of the overrepresented  sex.  To the extent  that the
    rate of interest in  athletics diverges between men and  women at
    any   institution,  the  district  court's  interpretation  would
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    require  that  such  an  institution  treat  an  individual  male
    student's  athletic interest and  an individual  female student's
    athletic   interest   completely   differently:   one   student's
    reasonable interest would have  to be met, by law,  while meeting
    the other  student's interest  would only  aggravate the  lack of
    proportionality  giving rise to the  legal duty.   "The injury in
    cases  of  this kind  is  that  a 'discriminatory  classification
    prevent[s] . . . competition on an equal footing.'"  Adarand, 115
    S.  Ct. at  2104 (quoting  Northeast Fla. Chapter,  Assoc'd Gen'l
    Contractors  of  America  v.  Jacksonville,  
    508 U.S. 656
    ,  666
    (1993)).   As a result, individual male and female students would
    be  precluded  from  competing  against  each  other  for  scarce
    resources;  they would  instead compete  only against  members of
    their own gender.  Cf. Hopwood v. Texas, 
    78 F.3d 932
    , 943-46 (5th
    Cir.)  (concluding  that   not  only   would  government   action
    precluding competition between individuals of different races for
    law  school  admissions be  unconstitutional,  but  in fact  even
    partial  consideration  of  race  among other  factors  would  be
    unconstitutional), cert. denied, 
    116 S.Ct. 2581
     (1996).27
    27.  In response, appellees cite Kelley v. Board of Trustees,
    
    35 F.3d 265
     271  (1994), for the proposition that  the three-
    prong test does not  constitute a quota, because it  does not
    "require any educational institution to grant preferential or
    disparate treatment" to  the gender underrepresented  in that
    institution's athletic program.  
    Id.
      However, in Kelley, the
    Seventh Circuit, unlike  the district court, did  not use the
    three-prong test as a definitive test for liability.  Rather,
    the Seventh Circuit endorsed the test as one  for compliance,
    in dismissing  the plaintiff's  claims.  The  Seventh Circuit
    did  not consider the question  of whether, had the defendant
    -100-
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    The   majority  claims   that   "neither   the   Policy
    Interpretation nor  the  district court's  interpretation of  it,
    mandates statistical  balancing."  Majority  Opinion at 41.   The
    logic of this position escapes me.  A school can satisfy the test
    in  three ways.   The first prong  is met if  the school provides
    participation  opportunities  for  male and  female  students  in
    numbers substantially  proportionate to their enrollments.   This
    prong surely requires statistical balancing.  The second prong is
    satisfied if an institution that cannot meet prong one can show a
    "continuing practice  of program expansion  which is demonstrably
    responsive  to  the  developing  interest and  abilities  of  the
    members  of the underrepresented sex."   44 Fed.  Reg. at 71,418.
    It can  hardly be  denied  that this  prong requires  statistical
    balancing as it is essentially a test that requires the school to
    show that  it is moving in the  direction of satisfying the first
    prong.  Establishing that a school is moving inexorably closer to
    satisfying a  requirement that demands  statistical balancing can
    only be done by  demonstrating an improvement in the  statistical
    balance.    In  other  words,  the  second  prong  also  requires
    balancing.  Finally, the third prong, interpreted as the majority
    advocates, dispenses  with statistical balancing only  because it
    University  of  Illinois  not  been in  compliance,  lack  of
    compliance  with  the three-prong  test  alone  would trigger
    automatic liability,  nor did  the Seventh Circuit  spell out
    what steps would  have been  required of defendant.   At  any
    rate,  Kelley  pre-dates  the  Supreme  Court's  opinions  in
    Adarand and Virginia,  meaning that it suffers from  the same
    defects as Cohen II.
    -101-
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    choose to accord zero weight to one side of the  balance.  Even a
    single  person   with   a  reasonable   unmet  interest   defeats
    compliance.    This standard,  in  fact,  goes farther  than  the
    straightforward  quota test  of  prong  one.   According  to  the
    district court,  the unmet interests of  the underrepresented sex
    must be completely accommodated before any of the interest of the
    overrepresented gender can be accommodated.28
    A pragmatic  overview of the effect  of the three-prong
    test leads me to reject the majority's claim that the three-prong
    test  does not  amount to  a quota  because it  involves multiple
    prongs.  In  my view it  is the result of  the test, and  not the
    number of steps involved, that should determine if a quota system
    exists.   Regardless  of how  many steps  are involved,  the fact
    remains  that  the  test  requires   proportionate  participation
    opportunities for both sexes (prong one) unless one sex is simply
    not  interested in participating (prong  three).  It  seems to me
    that a quota with an exception for  situations in which there are
    28.  The  problem  with   the  majority s  argument   can  be
    illustrated  with  a hypothetical  college  admissions policy
    that would require proportionality  between the gender  ratio
    of the  local student  aged population and  that of  admitted
    students.   This  policy is  comparable to  prong one  of the
    three prong test and is, without a doubt, a quota.   It is no
    less  a quota if an exception exists for schools whose gender
    ratio  differs from  that of the  local population  but which
    admit  every applicant  of the  underrepresented gender.   It
    remains a quota because  the school is forced to  admit every
    female  applicant until it  reaches the requisite proportion.
    Similarly, the  district court's interpretation  requires the
    school to  accommodate the interests of  every female student
    until proportionality is reached.
    -102-
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    insufficient interested students to  allow the school to  meet it
    remains  a  quota.    All of  the  negative  effects  of a  quota
    remain,29 and the school  can escape the quota under  prong three
    only  by offering  preferential treatment to  the group  that has
    demonstrated less interest in athletics.
    2. "Extremely Persuasive Justification" Test
    2. "Extremely Persuasive Justification" Test
    In view  of the  quota scheme  adopted by the  district
    court, and Congress' specific disavowal of any  intent to require
    quotas as part of Title  IX, appellees have not met their  burden
    of  showing an  "exceedingly  persuasive justification"  for this
    gender-conscious exercise of  government authority.   As recently
    set forth in Virginia, "[p]arties who seek to defend gender-based
    government  action  must demonstrate  an  'exceedingly persuasive
    justification' for that action."  Virginia, 
    116 S.Ct. at 2274
    .
    While the Supreme Court in Virginia acknowledged that "[p]hysical
    differences between  men and  women . .  . are enduring,"  
    id. at 2276
    ,  it went on  to state  that such  "'[i]nherent differences'
    between men and women,  we have come to appreciate,  remain cause
    for  celebration, but not for . .  . artificial constraints on an
    individual's opportunity." Id.
    29.  Nor  does the  second  prong  of  the  test  change  the
    analysis.  That prong merely recognizes that a school may not
    be able  to  meet the  quotas  of the  first or  third  prong
    immediately,  and  therefore  deems  it  sufficient  to  show
    program  expansion that is responsive to the interests of the
    underrepresented sex.
    -103-
    -103-
    Neither   appellees   nor  the   district   court  have
    demonstrated  an "exceedingly  persuasive justification"  for the
    government action  that the district  court has directed  in this
    case.    In  fact,   appellees  have  failed  to  point   to  any
    congressional  statement or  indication  of  intent  regarding  a
    proportional  representation scheme  as applied  by the  district
    court.   While  they  point to  Congress'  decision  to  delegate
    authority to the  relevant agencies,  this does not  amount to  a
    genuine  --  that is,  not hypothesized  or  invented in  view of
    litigation, id.  at 2275 --  exceedingly persuasive justification
    in light of section 1681(b)'s "no  quota" provision.  We are left
    with  the explanations discussed in  Cohen II to  the effect that
    Congress  conducted hearings  on  the  subject of  discrimination
    against  women in  education.   There is  little more  than that,
    because Congress  adopted Title IX  as a floor  amendment without
    committee hearings or reports.  See Cohen II, 991 F.2d at 893.
    I believe  that the district  court's interpretation of
    the  Policy  Interpretation's   three-prong  test  poses  serious
    constitutional  difficulties.   "[W]here an  otherwise acceptable
    construction  of a  statute  would  raise serious  constitutional
    problems, [we] construe the statute to avoid such problems unless
    such construction is plainly contrary to the intent of Congress."
    Edward J. DeBartolo Corp.  v. Florida Gulf Coast Bldg.  & Constr.
    Trades  Council, 
    485 U.S. 568
     (1988); see NLRB v. Catholic Bishop
    of  Chicago, 
    440 U.S. 490
    ,  507 (1979).    To  the extent  that
    -104-
    -104-
    Congress  expressed a  specific  intent germane  to the  district
    court's  interpretation,  Congress,  if  anything,  expressed  an
    aversion to quotas as a method to enforce Title IX.  As a result,
    I opt for Brown's construction of prong three, which, as  we have
    discussed, infra, is also a reasonable reading.
    Accordingly,  I would  reverse and  remand for  further
    proceedings.
    III. Evidentiary Issues
    III. Evidentiary Issues
    In  disputes  over  the  representation  of   women  in
    athletic  programs, it  is  inevitable that  statistical evidence
    will  be relevant.    There  is simply  no  other  way to  assess
    participation  rates,   interest  levels,  and  abilities.    The
    majority  opinion, however,  offers  inconsistent  guidance  with
    respect to the role of  statistics in Title IX claims.   Early in
    the opinion,  the majority  approvingly cites to  the statistical
    evaluations conducted  in  Cohen  I, Cohen  II,  and  Cohen  III.
    Majority  Opinion at 8-10.   The figures  in question demonstrate
    that women s participation in athletics is less than proportional
    to their enrollment.   Later  in the opinion,  however, when  the
    level  of interest among  women at Brown  is at  issue, the court
    adopts  a   much  more  critical  attitude   towards  statistical
    evidence: "[T]here exists the  danger that, rather than providing
    a  true  measure  of  women s  interest  in  sports,  statistical
    evidence purporting to reflect women s interest instead  provides
    only a  measure of the very  discrimination that is and  has been
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    the  basis for women s lack of opportunity."  Majority Opinion at
    53.   In other words, evidence of differential levels of interest
    is not to be credited because it may simply reflect the result of
    past discrimination.
    The  refusal to  accept surveys  of interest  levels as
    evidence of interest raises the question of what indicators might
    be used.  The majority offers no guidance to a  school seeking to
    assess  the levels  of interest  of its  students.   Although the
    three-prong  test, even  as  interpreted by  the district  court,
    appears to  allow the school  the opportunity to  show a lack  of
    interest, the majority rejects the best -- and perhaps the only -
    - mechanism for making such a showing.
    Brown claims that the district court erred in excluding
    evidence pertaining to the relative athletic interests of men and
    women  at the  university.   Brown sought  to introduce  the NCAA
    Gender Equity Study and  the results of an undergraduate  poll on
    student  interest in athletics, but  was not permitted  to do so.
    The majority is unsympathetic to Brown's claim that the disparity
    between  athletic  opportunities  for  men and  women  reflect  a
    gender-based  difference in  interest  levels.   Indeed,  despite
    Brown's  attempt to present evidence in support of its claim, the
    majority   characterizes   Brown's  argument   as   an  "unproven
    assertion."  Majority Opinion at 51.30
    30.  Among  the   evidence  submitted   by  Brown   are:  (i)
    admissions data showing greater athletic interest among  male
    applicants than  female applicants;  (ii) college  board data
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    Furthermore, the majority recognizes  that institutions
    are  entitled  to  use  any  nondiscriminatory  method  of  their
    choosing to determine athletic interests.  Majority Opinion at 53
    n.15.  If  statistical evidence of  interest levels is not  to be
    considered by courts,  however, there  is no way  for schools  to
    determine whether they are in compliance.  Any studies or surveys
    they might conduct in order to assess their own compliance would,
    in  the event of litigation, be deemed irrelevant.  Regardless of
    the  efforts made by the  academic institution, the  specter of a
    lawsuit would be ever-present.
    In  addition, the majority has put the power to control
    athletics and the provision of athletic resources in the hands of
    the  underrepresented gender.   Virtually  every other  aspect of
    college life is  entrusted to the institution,  but athletics has
    now  been carved  out as an  exception and  the university  is no
    longer in full  control of its program.   Unless the  two genders
    showing  greater  athletic interest  and  prior participation
    rates by prospective male  applicants than female applicants;
    (iii)  data  from  the  Cooperative   Institutional  Research
    Program at UCLA  indicating greater  athletic interest  among
    men  than women; (iv) an independent  telephone survey of 500
    randomly  selected  Brown  undergraduates  that  reveals that
    Brown offers  women participation opportunities in  excess of
    their  representation in  the  pool of  interested, qualified
    students; (v)  intramural and  club participation  rates that
    demonstrate  higher participation rates among men than women;
    (vi)  walk-on  and try-out  numbers  that  reflect a  greater
    interest   among  men   than   women;   (vii)   high   school
    participation  rates   that  show   a  much  lower   rate  of
    participation among females than among males; (viii) the NCAA
    Gender Equity  Committee data  showing that women  across the
    country participate in athletics at a lower rate than men.
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    participate equally in athletics, members of the underrepresented
    sex would  have the ability to demand a varsity level team at any
    time  if they can show sufficient interest.  Apparently no weight
    is given  to the sustainability of the  interest, the cost of the
    sport, the  university s view on  the desirability of  the sport,
    and so on.
    IV. FIRST AMENDMENT ISSUE
    IV. FIRST AMENDMENT ISSUE
    Finally,  it  is  important  to   remember  that  Brown
    University  is  a  private  institution  with a  constitutionally
    protected  First  Amendment  right  to  choose  its   curriculum.
    Athletics  are part of that curriculum.  Although the protections
    of the First Amendment cannot  be used to justify discrimination,
    this  court should  not forget that  it has  a duty  to protect a
    private  institution s   right  to  mould  its   own  educational
    environment.
    The majority pays  lip service to these concerns in the
    final pages of its long opinion, stating  that " we are a society
    that  cherishes academic freedom and recognizes that universities
    deserve great leeway in their operations. "   Majority Opinion at
    69  (quoting Cohen II,  991 F.2d at 906),  and "[o]ur respect for
    academic freedom  and reluctance to interject  ourselves into the
    conduct of university affairs  counsels that we give universities
    as  much freedom as possible."   Majority Opinion at 75.  Despite
    these statements, however, the majority in its opinion today, and
    the  district  court   before  it,  have  failed  to  give  Brown
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    University  freedom  to craft  its  own athletic  program  and to
    choose  the  priorities of  that  program.    Instead, they  have
    established a  legal rule that  straightjackets college athletics
    programs by curtailing  their freedom to  choose the sports  they
    offer.
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