Secretary of Labor v. Keystone Coal Mining Corp. ( 1998 )


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  •                         United States Court of Appeals
    FOR THE DISTRICT OF COLUMBIA CIRCUIT
    Argued April 20, 1998     Decided August 21, 1998
    No. 95-1619
    Secretary of Labor,
    Petitioner
    v.
    Keystone Coal Mining Corporation and
    Federal Mine Safety and Health Review Commission,
    Respondents
    Southern Ohio Coal Company, et al.,
    Intervenors
    On Petition for Review of an Order of the
    Federal Mine Safety and Health Review Commission
    Edward D. Sieger, Senior Appellate Attorney, United
    States Department of Labor, argued the cause for petitioner,
    with whom J. Davitt McAteer, Acting Solicitor, and Nathani-
    el I. Spiller, Deputy Associate Solicitor, were on the briefs.
    R. Henry Moore argued the cause for respondent Keystone
    Coal Mining Corporation, with whom Heather A. Wyman was
    on the brief.  Norman M. Gleichman, General Counsel, Mine
    Safety and Health Review Commission, and Elizabeth Ebner,
    Attorney Advisor, entered appearances.
    Timothy M. Biddle, R. Timothy McCrum, H. Thomas
    Wells, J. Alan Truitt, Laura E. Beverage, L. Anthony
    George, R. Henry Moore and Heather A. Wyman were on the
    brief for intervenors Southern Ohio Coal Company, et al.
    Gail L. Simmons entered an appearance.
    Before:  Williams*, Sentelle and Randolph, Circuit
    Judges.
    Opinion for the court filed by Circuit Judge Sentelle.
    Sentelle, Circuit Judge:  The Secretary of Labor ("Secre-
    tary"), on behalf of the Mining Safety and Health Administra-
    tion ("MSHA"), asks us to reverse a November 1996 decision
    of the Mine Safety and Health Review Commission ("Com-
    mission"), affirming rulings by an Administrative Law Judge
    ("ALJ") in a case involving citations for alleged tampering
    with coal dust samples.  The ALJ and Commission agreed
    that the Secretary failed to prove (1) in general, that an
    "abnormal white center" ("AWC") on a coal dust sample filter
    warrants an inference of intentional tampering;  and (2) in a
    specific test case, that defendant Keystone Coal Mining Corp.
    ("Keystone") intentionally tampered with its samples.  The
    Secretary argues that the ALJ and Commission held it to an
    improperly high burden of proof in the first, common-issues
    proceeding, and that Keystone's exoneration in the second,
    case-specific proceeding was not supported by substantial
    evidence.  We affirm the Commission's ruling.
    I
    The case involves over 5000 citations, issued to over 500
    coal mines, alleging tampering with air filter samples.  These
    citations arose from a nationwide investigation by the Secre-
    tary which began in August 1989.  The citations issued
    between April 4 and June 7, 1991, and included 75 citations to
    _____________
    *Circuit Judge Williams did not participate in this
    decision.  He found it necessary to become recused after
    hearing oral argument.
    Keystone's Urling No. 1 mine ("Urling").  Under the Federal
    Mine Safety and Health Act of 1977, 30 U.S.C. s 801 et seq.
    (the "Act"), coal mine operators must periodically sample the
    concentration of respirable coal dust in the mine atmosphere.
    The tests employ sampling devices and methods prescribed
    by the Secretary.  The devices are all manufactured by the
    Mine Safety Appliance Company ("MSA"), and involve basi-
    cally a pump and a filter cassette.  The pump pulls air at a
    defined rate through the filter, where respirable coal dust is
    deposited.  The filters are then sent to MSHA, within 24
    hours of collection.  In February 1989, MSHA noticed that
    some filters had unusual light areas in their centers which
    generally corresponded to the 6mm opening in the cassette.
    MSHA concluded that these abnormal white centers were
    likely caused by reverse air flow--specifically, by a person
    blowing through the cassette opening in order to dislodge
    dust from the filter and thereby decrease the sample weight.
    MSHA expanded the investigation to all mine operators in
    August 1989, thereafter examining all dust samples for
    AWCs.  Hundreds of mines had no AWCs, but 3900 AWC
    samples (about 6.5% of all samples received) were discovered
    by March 19, 1990.  On March 20, 1990, MSHA introduced
    the "AWC void code" which officially notified operators that
    AWC samples would no longer be accepted as sufficient to
    fulfill the operator's sampling obligations under the Act.
    Fewer than 1% of the samples submitted after that date
    exhibited AWCs.
    In August 1992, the ALJ consolidated the citations in order
    to try common issues (the "common issues" proceeding).  The
    relevant issue in this proceeding was whether deliberate
    conduct was the "only reasonable explanation" for the cited
    AWCs.  After a 47-day hearing, the ALJ decided against the
    Secretary, finding that case-by-case inquiry into dust sam-
    pling and handling procedures was required to determine
    whether intentional tampering caused AWCs on samples re-
    ceived from each mine.  The ALJ selected Keystone's Urling
    No. 1 mine for a case-specific trial regarding dust sampling
    and handling practices.  After an 18-day hearing, the ALJ
    vacated the Urling citations, holding that the Secretary had
    failed to prove that Keystone intentionally altered the weight
    of the 75 cited filters.
    The Secretary sought review of both the common issues
    and Keystone decisions before the Commission.  A divided
    Commission affirmed on November 29, 1995.  In re:  Contests
    of Respirable Dust Sample Alteration Citations, Keystone
    Coal Mining Corp. v. Secretary of Labor, 17 F.M.S.H.R.C.
    1819 (1995).  Dissenting Commissioner Marks argued that
    the ALJ had improperly interpreted MSHA regulations to
    require proof of intentional alteration (an interpretation not
    challenged here), and further contended that the ALJ had
    improperly "required the Government to prove that the only
    cause of the AWCs was intentional conduct, to the exclusion
    of all other causes! " (emphasis in original).  Commissioner
    Marks would have held that the Secretary had presented
    sufficient evidence to prevail in both the common-issues and
    the Keystone proceedings, and that the ALJ's conclusions to
    the contrary were not supported by substantial evidence.  We
    review the Commission's legal conclusions de novo, Donovan
    ex rel. Anderson v. Stafford Constr. Co., 
    732 F.2d 954
    , 958
    (D.C. Cir. 1984), and its findings of fact for substantial
    evidence, 30 U.S.C. ss 816(a)(1), (b).
    II
    The Secretary argues that in the common issues proceed-
    ing, the Commission and the ALJ erred as a matter of law by
    requiring a standard of proof higher than a preponderance of
    the evidence for the proposition that the presence of an AWC
    allowed an inference of intentional tampering.  With respect
    to the Keystone mine-specific proceeding, the Secretary as-
    serts that the Commission and the ALJ applied an improper-
    ly strict burden of proof and that the findings were not
    supported by substantial evidence.
    A
    In the common issues proceeding, the Secretary attempted
    to prove via statistical evidence that the presence of an AWC,
    without more, established intentional tampering with the
    sampling device.  Such a finding would have led to a pre-
    sumption that illegal tampering occurred whenever an AWC
    was found, perhaps subject to rebuttal by an individual
    operator who could show that other factors (for example, its
    handling of filters) caused the AWC in a specific case.
    The ALJ held that to prevail the Secretary must prove by a
    preponderance of the evidence that (1) the AWC definition
    had a coherent meaning and was consistently applied;  (2) the
    cited AWCs could only result from intentional acts;  and (3)
    the AWCs resulted in weight losses in the cited filters.
    Although concluding that any inconsistencies in applying the
    AWC definition were insignificant and that an AWC did
    result in weight loss, the ALJ found several potential causes
    of AWCs and received a wide range of expert opinion on the
    likelihood of each possibility.  For example, AWCs could be
    caused by tampering, by impact to the cassette, by impact to
    the air hose, or by snapping together the cassette.  The ALJ
    also found that the likelihood of generating an AWC by non-
    intentional causes depended upon filter manufacturing char-
    acteristics (filter-to-foil distance and filter floppiness), hose
    pliability, mine and dust characteristics (including type of
    coal, humidity, weight of dust on the filter, size and shape of
    particles, and quantity of rock dust or diesel dust on the
    filter), and cassette population (certain batches of cassettes
    manufactured by MSA had a greater likelihood of experienc-
    ing AWCs, as did all cassettes manufactured before Jan. 1,
    1990).  Thus, the non-random distribution of AWCs across
    the mining industry could have been related to tampering at
    certain mines, but also could have been related to characteris-
    tics of certain mine environments or operators' handling
    techniques.
    Therefore, even though the Secretary's statistical evidence
    demonstrated that AWCs did not occur randomly, the ALJ
    held that the Secretary had failed to prove that those AWCs
    were indeed caused by intentional tampering.  The Secre-
    tary's analysis failed to account for potential accidental
    causes, manufacturing variables, and mine environment varia-
    bles.  Further, even though the Secretary introduced evi-
    dence showing a sharp decline in the number of cited AWCs
    in late March, 1990, a date which correlated with the an-
    nouncement of the "AWC Void Code," the ALJ held that the
    Secretary had failed to prove that the decline was caused by
    mine operators responding to that announcement.  Thus, the
    ALJ concluded that the Secretary had "failed to carry [her]
    burden of proving by a preponderance of the evidence that an
    AWC on a cited filter establishes that the mine operator
    intentionally altered the weight of the filter."
    The Secretary first contends, as she did before the Com-
    mission, that the ALJ imposed an improper burden of proof
    in this ruling, despite the "preponderance of the evidence"
    language in both opinions.  The Secretary argues that the
    ALJ erred by requiring proof that "the cited AWCs can only
    have resulted from intentional acts," Brief for the Secretary
    of Labor ("Petitioner's Brief") at 41 (emphasis added), or that
    deliberate conduct "is the only reasonable explanation for the
    cited AWCs," 
    id.
     (emphasis added).  Instead, she contends
    that she "should have prevailed by establishing on the weight
    of the evidence that intentional alteration was the more likely
    explanation for AWCs than other possible explanations."  
    Id.
    (emphasis added).  We reject this argument.
    In effect, the Secretary sought to establish in the common
    issues proceeding an evidentiary presumption:  that the exis-
    tence of an AWC, without more, compels (or, at least, allows)
    an inference that the mine submitting the filter with the AWC
    intentionally tampered with it in violation of the Mine Act.
    Such a presumption is only permissible if there is "a sound
    and rational connection between the proved and inferred
    facts," and when "proof of one fact renders the existence of
    another fact so probable that it is sensible and timesaving to
    assume the truth of [the inferred] fact ... until the adversary
    disproves it."  Chemical Mfrs. Ass'n v. Department of
    Transp., 
    105 F.3d 702
    , 705 (D.C. Cir. 1997) (quoting NLRB v.
    Curtin Matheson Scientific, Inc., 
    494 U.S. 775
    , 788-89 (1990))
    (internal citation and quotation marks removed).  If there is
    an alternate explanation for the evidence that is also reason-
    ably likely, then the presumption is irrational.
    In making her argument that the evidence presented to the
    ALJ, and reviewed by the Commission, compelled the imposi-
    tion of the presumption that every AWC resulted from tam-
    pering, the Secretary ignores such cases as Curtin Matheson
    and Chemical Mfrs.  She instead relies on Concrete Pipe &
    Products of California, Inc. v. Construction Laborers Pen-
    sion Trust, 
    508 U.S. 602
    , 622 (1993), for the proposition that
    the preponderance of evidence standard governing the pro-
    ceedings "simply requires the trier of fact to believe that the
    existence of a fact is more probable than its nonexistence."
    It is most evident that the Concrete Pipe holding relied on by
    the Secretary is inapposite.  The question before the ALJ,
    the Commission, and now us, was not whether the Secretary
    had established by the preponderance of the evidence a
    simple evidentiary fact--e.g., whether a particular AWC re-
    sulted from tampering--but rather whether the Secretary
    had established that all AWCs result from tampering by
    some standard sufficiently compelling to require the Commis-
    sion to adopt it as a presumption.  By way of comparison, a
    plaintiff establishing that a defendant assaulted her is not the
    same as a litigant convincing a trier of fact that persons
    similarly situated to the defendant were so likely to have
    committed assault that liability could be presumed against
    them.
    Unsurprisingly, none of the authorities offered by the
    Secretary, and none that we have located, hold that a litigant
    can, even by powerful evidence, compel an adjudicating com-
    mission to adopt a presumption favoring the litigant in an
    entire universe of cases.  Generally, the authorities offered
    by the Secretary and discussed by us concern either the
    validity or the application of presumptions created either by
    an administrative body or by statute.
    For example, in Chemical Mfrs., we upheld a presumption
    established by regulation of the Department of Transporta-
    tion which allowed an inference of inadequate pre-trip inspec-
    tion from the presence of loose closures on railroad tank cars.
    
    105 F.3d at 703-04
    .  We held that the agency had articulated
    its reasons for establishing the presumption, and noted that
    the presumption only shifted the burden of producing evi-
    dence.  We concluded that the Department had articulated a
    reasonable evidentiary basis even though it did not consider
    "every possible intervening event" that could cause a loose
    closure.  
    Id. at 706
    .  Further, we held that such "administra-
    tive presumptions" could be sustained without an evidentiary
    showing to support the rule, so long as the agency articulates
    a rational basis.  
    Id.
      The presumption did no more than
    "eliminate[ ] the need to call an expert witness in each
    enforcement proceeding to establish that properly tightened
    closures generally do not loosen of their own accord in normal
    transportation, and that loose closures often reflect inade-
    quate pre-trip inspections."  
    Id.
      Those facts had been ade-
    quately established in the record.  We also recognized that
    because closures were designed "so that, once properly tight-
    ened, they will not loosen as a result of vibrations or other
    conditions normally incident to rail transportation," it was
    reasonable to presume failure to inspect properly, absent
    evidence of some intervening event.  
    Id.
    The present record does not remotely parallel Chemical
    Mfrs. If an appropriate government agency charged with
    mine safety regulation had held a rulemaking, established a
    proper foundation for the presumption advanced by the Sec-
    retary, and adopted it, we might well uphold the presumption.
    At the very least, Chemical Mfrs. would be appropriate
    support for the Secretary's argument.  But that is not what
    happened.  A trier of fact took evidence and weighed it.  This
    case turns not on the construction of regulations or on
    statutory interpretation, but on the weighing of evidence and
    reasonable inferences made therefrom.  Thus, our deference
    runs not to the policymaking body, MSHA and the Secretary,
    but to the ALJ, the factfinder who oversees the adjudicatory
    proceedings.
    Curtin Matheson and Concrete Pipe are even less appro-
    priate precedents for this controversy than Chemical Mfrs.
    In Curtin Matheson, the Supreme Court reversed the at-
    tempt of a circuit court to impose upon an administrative
    agency the duty of adopting a presumption.  
    494 U.S. at 781
    .
    In no sense did it attempt to set forth terms under which the
    courts could impose upon an adjudicating commission the
    duty to adopt a presumption based upon a certain level of
    proof offered by a litigant, as the Secretary asks us to do
    here.  Concrete Pipe involved the application of a particular
    set of presumptions created by statute to a particular sort of
    factual dispute, 
    508 U.S. at 630-31
    , and again offers no
    support for the Secretary's attempt to impose upon the
    adjudicators before whom it appeared the duty of presuming.
    In another important respect, the presumption sought by
    the Secretary in this case is far more troubling than the one
    at issue in Chemical Mfrs. In that case, the Department of
    Transportation established a rational connection between two
    concrete facts:  the fact of a loose connection allowed inferring
    the fact that the connection had not been inspected.  Absent
    evidence of an intervening event, such a presumption seems
    ironclad, especially since a shipper was strictly liable for
    failure to inspect, without need to prove negligence or intent.
    But in this case, the Secretary seeks to establish a connection
    between a fact and an intentional act, namely, to infer from
    the presence of a light area in a filter's center that the mine
    operator intentionally and illegally tampered with the sam-
    pling device.  Distinctions between accidental, negligent,
    reckless, and intentional conduct, not relevant in Chemical
    Mfrs., make all the difference between an innocent act and a
    citable offense in cases involving the Secretary's proposed
    presumption.
    In considering the evidence presented in the common is-
    sues proceeding, we cannot say that the ALJ reached an
    unreasonable conclusion in holding that the Secretary had
    failed to prove by a preponderance of the evidence that the
    existence of an AWC established the deliberate conduct re-
    quired to sustain a citation under the Mine Act and associated
    regulations.  The ALJ certainly did not require that the
    Secretary prove impossible all other potential causes of
    AWCs at the hearing.  But because AWCs could result from
    a variety of non-intentional causes, the ALJ found more than
    a mere "element of doubt" that the Secretary had carried her
    burden of proof.
    To sum up, the Secretary is mistaken in her assertion that
    under a "preponderance of the evidence" burden, the Com-
    mission is required to adopt her presumption when she
    proves that intentional alteration is merely the "more likely
    explanation for AWCs than other possible explanations."  We
    therefore affirm the judgment in the common issues proceed-
    ing.
    B
    In the Urling mine-specific proceeding, the Secretary
    sought to establish by a preponderance of the evidence that
    Keystone had unlawfully tampered with sampling devices.
    Both parties introduced a volume of statistical evidence along
    with the testimony of several experts and witnesses regarding
    mine conditions and the handling of the filters.
    Rochester and Pittsburgh Coal Co. ("R&P") operates 13
    mines, including Urling, through several subsidiaries, includ-
    ing Keystone.  For all these mines, the independent R&P
    Environmental Safety Department ("ESD") conducted a coal
    dust sampling program.  From 1970 until 1991, Donald Eget
    supervised ESD, and Shawn Houck and Douglas Snyder
    worked with him as laboratory technicians.  Normal operat-
    ing procedures at ESD between 1989 and 1991 had the dust
    technicians picking up pumps and sampling assemblies in the
    morning and delivering them to R&P's mines for use that
    day.  Each morning, Eget drove to all 13 R&P mines to
    retrieve pumps and samples from the previous afternoon and
    midnight shifts;  and each afternoon, the dust technicians
    returned to ESD with pumps used during the day shift that
    day.  While Eget collected pumps, Houck processed those
    from the previous day by removing the sampling head and
    hose, filling out data cards, cleaning the sampled units, recal-
    ibrating and reassembling the units, and inserting a new filter
    cassette.  When Eget returned, he inspected the used cas-
    settes, checked the data cards, looked into the inlets and
    recorded the filter appearances in a logbook for each mine.
    The cassettes were then packaged and mailed to MSHA.
    Robert Thaxton, the MSHA supervisory industrial hygien-
    ist responsible for analyzing, monitoring and classifying
    AWCs, testified that, in his opinion, AWC patterns on Key-
    stone's 75 cited and 3 "no-call" filters resulted from deliberate
    acts.  The Secretary's scientific expert Marple examined and
    classified the 78 filters, opining that none could result from
    impact to the cassettes, but that 71 or 72 resulted from
    reverse air flow, 2 or 3 from a vacuum source introduced to
    the cassette inlet, and 1 from water introduced into the filter.
    The Secretary's statistical expert Miller testified that Urling
    had an AWC citation rate of 43% before the void code notice
    issued on March 26, 1990 (compared to 6% for other mines),
    and that the rate dropped to 0.18% after March 26.
    Keystone's scientific expert Lee concluded that most of the
    cited filters indicated lesser forces than would have occurred
    with deliberate reverse air flow, that the AWC patterns were
    consistent with a mixed mechanical pulse/reverse air pulse,
    that humidity reduced the susceptibility to dislodgement, and
    that water sprays and scrubbers introduced at Urling in 1989
    and 1990 contributed to the decline in AWCs.  Keystone's
    statistical expert Roth examined the citation rates of Urling
    and of all R&P mines combined on a bimonthly basis and
    concluded (1) that the data showed a gradual decline in AWCs
    from August 1989 through March 1992, with no significant
    change in March 1990;  (2) that manufacturing variables may
    have been a factor in AWC formation;  and (3) that high
    incidence rates may be attributable to cassettes manufactured
    by MSA on four consecutive dates in mid-1989 (for all R&P
    mines, cassettes manufactured on those four dates were cited
    at a rate of 50% as opposed to 6% for all other dates of
    manufacture).  Thirty-three R&P employees testified, includ-
    ing ESD personnel Eget, Houck, and Snyder, who described
    their role in the dust sampling program and uniformly denied
    tampering or observing anyone else tampering with cassettes.
    The Secretary's first argument, much like that advanced
    and rejected with respect to the common issues proceeding, is
    that the ALJ improperly held any doubt as to the cause of an
    AWC sufficient to vacate the citation.  Applying such a
    burden of persuasion, higher than a "preponderance of the
    evidence," would constitute reversible error.  The Secretary
    argues that she did prove that tampering was the most likely
    cause of Keystone's AWCs, even though competing causal
    theories had not been completely ruled out.  In her view, the
    ALJ should have explicitly determined the probability that
    rough handling or other non-intentional conduct caused Key-
    stone's AWCs.  Without such a determination, according to
    the Secretary, the ALJ could not have adequately addressed
    the question of whether the cited filters were more likely than
    not caused by tampering.  We disagree.
    The ALJ recognized and the Commission affirmed that the
    Secretary bore the burden of proving by a preponderance of
    the evidence that tampering actually occurred, and both
    agreed that the Secretary had not met that burden.  In the
    process of weighing the vast amount of sometimes conflicting
    evidence, including the often divergent interpretations by
    experts, it is simply unreasonable to require that a factfinder
    determine the mathematical probability of the various differ-
    ent explanations of that evidence.  We know of no case in
    which a reviewing court has required that sort of mathemati-
    cally nice analysis, nor has the Secretary cited any.  Rather,
    the factfinder must assess whether, on the whole, he is
    convinced that greater weight of the evidence supports the
    plaintiff's account.  See, e.g., Steadman v. SEC, 
    450 U.S. 91
    ,
    101 (1981).  So long as that determination is properly made,
    no further precision or subdivision in specification of probabil-
    ities is required.  The record indicates such a finding.
    The Secretary's second argument reveals the heart of her
    position:  that her evidence showed that tampering was in
    fact the most likely cause of Keystone's AWCs, despite the
    ruling of the ALJ and Commission to the contrary.  In
    essence, the Secretary seeks to have this Court review the
    entire trial record, reweigh the evidence, and decide the case
    differently.  But this Court's duty is to determine whether
    the findings below were supported by substantial evidence.
    This sensibly deferential standard of review does not allow us
    to reverse reasonable findings and conclusions, even if we
    would have weighed the evidence differently.  We must
    therefore examine the Secretary's allegations regarding spe-
    cific inconsistencies between the evidence presented and the
    conclusions of the factfinder, and determine whether a theo-
    retical "reasonable factfinder" could have reached the conclu-
    sions actually reached by the Commission and the ALJ.
    United Steelworkers of America v. NLRB, 
    983 F.2d 240
    , 244
    (D.C. Cir. 1993).
    AWCs Not Random Events
    The Secretary presented statistical evidence showing that
    AWCs were not randomly distributed across all coal mines.
    Out of samples from 2677 coal mines, about 1300 mines had
    no AWCs between August 1989 and March 1991.  Other
    mines, like Keystone, had AWCs on more than 40% of their
    samples submitted during this period.  The Secretary insists
    that this evidence forces the "inescapable conclusion" that
    "random events do not cause AWCs and AWCs are not
    inherent in coal mine respirable dust sampling."  From this,
    she concludes that random events (like accidentally dropping
    a toolbox on an airhose) cannot explain the occurrence of any
    AWC at any mine, and that the ALJ could not reasonably
    have relied on random events to explain Urling's high fre-
    quency of AWCs.
    But the Secretary overstates the record evidence and mis-
    understands the implications to be drawn from the fact of
    non-random distribution across mines.  Before the ALJ, the
    Secretary's experts Marple and Thaxton conceded that the
    Urling AWCs could have been accidentally caused, and that
    the evidence could not establish whether the pattern on any
    particular filter resulted from tampering.  Miller, the Secre-
    tary's statistical expert, did not conclude that intentional
    misconduct caused the Urling AWCs, but testified only that
    his conclusions were not inconsistent with tampering.
    At best, this evidence demonstrates nothing more than that
    the likelihood of finding an AWC on a randomly selected filter
    sample is affected by the mine from which the filter is drawn.
    In the universe of possible AWC causes, intentional tamper-
    ing by certain operators is only one of many possibilities that
    could explain why AWCs occur more frequently at certain
    mines.  Even if all AWCs resulted from purely accidental
    causes which were randomly distributed across all mines, the
    fact that AWC likelihood is affected by environmental condi-
    tions like humidity would lead one to expect a non-random
    distribution of AWCs across mines.
    The AWC Rate Decline in Late March, 1990
    The Secretary argues that the drop in AWC rates in late
    March 1990 was statistically significant and interprets it as an
    indicator of intentional tampering.  Because of the correlation
    between the drop and the date of issue of the AWC void code,
    the Secretary speculates that Keystone had been tampering
    but stopped once it learned of the void code.  It is undisput-
    ed, the Secretary asserts, that Keystone learned of the new
    void code on March 26, 1990.  Miller, the Secretary's statisti-
    cian, testified that between August 1989 and March 26, 1990,
    Keystone's weekly AWC rate fluctuated between 40% and
    45%, but after March 26, the rate dropped to near zero and
    stayed there.  According to the Secretary, the "obvious infer-
    ence" from this is that Eget and Houck, who had sometime
    earlier learned that MSHA was investigating Keystone's sam-
    pling, discovered on that date that MSHA would no longer
    accept AWCs on dust samples.
    The Secretary claims that the ALJ reached his conclusions
    based solely on Keystone's proffered methodology which ana-
    lyzed AWC rates on the basis of a bimonthly average.  The
    Secretary argues that there was no good reason for analyzing
    AWC rates over such a long period, where samples were
    collected continuously.  Of course, such a bimonthly sample
    interval could make the reduction in AWC rates appear much
    more gradual, washing out evidence of a sudden change.  But
    the ALJ did not simply adopt Keystone's statistics, as the
    Secretary argues.  Rather, the ALJ weighed all of the statis-
    tical evidence, and found that on balance no conclusion could
    be drawn that there was a dramatic change in AWC rates on
    or around March 26 that was caused by the issuance of the
    AWC void code.
    On this point, the Secretary advances one reasonable inter-
    pretation of the March 26 data.  Were we reviewing the
    evidence de novo, we might (or might not) favor her interpre-
    tation.  But she falls far short of establishing that the ALJ
    lacked substantial evidence to reject her interpretation.
    There is strong evidence that well before March 26, ESD
    personnel were aware of the MSHA investigation.  The ALJ
    could have reasonably agreed with Keystone that, if truly
    motivated to stop tampering because of fear of discovery, it
    would have more naturally done so well before March 26--in
    fact, 89 citations had already issued by that date.  The
    Secretary responds that Keystone must not have stopped
    tampering until the date the void code issued, because "[t]he
    statistical evidence points unequivocally to March 26."  This
    sort of circular argument, assuming the conclusion, is typical
    of the analysis the Secretary has advanced in this case and
    does not present an adequate basis to reverse the judgment
    below.
    Even if the March 26 date is ascribed the statistical signifi-
    cance urged by the Secretary, it is a stretch, given the other
    record evidence, to conclude on that basis that the change in
    AWC rate is explained by cessation of intentional tampering.
    The ALJ found that there were other changes around that
    time, not adequately ruled out by the Secretary's analysis,
    which also could have lowered the AWC rate.  For example,
    in the relevant period, the ALJ found that there were
    changes in filter-to-foil distances and other manufacturing
    variables, increasingly stringent AWC selection criteria,
    changes in sample handling at Urling, changes in sample
    handling by ESD personnel, changes in continuous mining
    machines at Urling, changes in mining conditions, and
    changes in sampler hose softness.  The ALJ evaluated and
    balanced all these factors to conclude that the Secretary had
    not demonstrated that any abrupt change occurred on March
    26 or that changes in AWC rate justified an inference of prior
    tampering.  The evidence demonstrated that Keystone in-
    creased its use of scrubber miners;  that the U.S. Attorney's
    investigation and obvious scrutiny itself might have caused
    more care in the handling of samples;  that R&P heightened
    its own internal scrutiny and reported actual instances of
    tampering during this period;  that Eget, the roughest han-
    dler of pumps at Urling 1, did not transport samples between
    April 9 and May 10 because of a bad back;  and that after
    Eget's return, R&P had used up its stock of cassettes with
    shorter filter-to-foil distances and began using new transport
    boxes.  Thus, substantial evidence supported the ALJ's rejec-
    tion of the Secretary's interpretation of the declining AWC
    rate in late March of 1990.
    Cassette Manufacture Date
    The Secretary rejects as "speculation" the ALJ's conclusion
    that cassettes manufactured on four consecutive "key dates"
    in 1989 were responsible for significantly more AWCs.  The
    Secretary contends that when used at mines other than
    Keystone, cassettes manufactured on those dates actually had
    a lower than average (2.5%) AWC rate.  The Secretary
    argues that this data suggests nothing more than mere
    correlation:  cassettes manufactured on those dates were used
    in large numbers when AWCs were occurring at high rates
    for other reasons.  For cassettes manufactured on September
    26, 1989 (one of the four dates), 29 of 81 had AWCs before
    March 26, but 0 of 175 had AWCs after March 26.
    The Secretary's expert Miller conceded that the fact that
    R&P mines had different citation rates with the cassettes
    from these dates shows only that something is different in
    the way ESD samples.  The Secretary, of course, attributes
    this difference to intentional tampering by ESD.  That is
    perhaps one reasonable interpretation of the evidence.  On
    the other hand, it is not the only one, and we are obligated
    not to compel adoption of the Secretary's proffered explana-
    tion if the ALJ reached a different conclusion based on
    substantial evidence.
    The ALJ found that Keystone was different from other
    operators in the way samples were handled and processed.
    Further, evidence supports the finding that cassettes manu-
    factured on the four key dates in 1989 were responsible for a
    disproportionate number, over half, of R&P and Urling
    AWCs.  The Secretary's data showed that cassettes from
    those dates had shorter filter-to-foil distances than later
    filters, a factor that the ALJ found contributed to the likeli-
    hood of a non-intentional AWC.  Overall, there is substantial
    evidence in the record to support the ALJ's conclusion that
    the Secretary did not prove by a preponderance of the
    evidence that intentional tampering, rather than some combi-
    nation of the filter manufacturing, handling by ESD, and
    Urling mine characteristics, caused the Keystone AWCs.
    Quartz Sampling Data
    The Secretary finds error in the ALJ's decision to disre-
    gard MSHA data on sampling of quartz between August 1989
    and March 1991.  Quartz samples were collected in the same
    fashion and with the same equipment as the coal dust sam-
    ples, and were transported and processed by ESD in the
    same fashion.  The Secretary claimed that while 44% of the
    dust samples had AWCs, none of the quartz samples had that
    appearance.  The Secretary's explanation was simple:  with
    quartz samples, it is not to the operator's advantage to reduce
    the weight of the dust collected by the device.  The ALJ and
    Commission refused to give any weight to this evidence
    because the filters at issue were not in evidence, having been
    destroyed in the normal process of MSHA's quartz analysis;
    because the filter's appearance had not been preserved
    through photographs or other records;  and because the
    Secretary had failed to call as witnesses any of the personnel
    who actually analyzed the quartz filters.
    In another attempt to shift the burden of proof, the Secre-
    tary notes that one of the actual testers was on Keystone's
    witness list, but was never called.  She forgets that it is the
    government's burden to prove the existence of a violation.
    Here, the Secretary introduced no direct evidence--not even
    photographs or descriptions of the examined filters--to back
    up these claims.  The ALJ and the Commission did not err in
    refusing to draw any conclusion from this evidence.
    ESD Employee Conduct and Witness Testimony
    The Secretary introduced direct testimony regarding ESD
    employees looking into dust filters and talking about what
    might happen if they blew into them, arguing that this
    evidence justified the conclusion that they were in fact blow-
    ing into them.  Keystone offered the testimony of the em-
    ployees who handled the cassettes to the effect that they did
    not tamper with them.  The Secretary asserts that the ALJ
    should not have credited ESD employees' denials of tamper-
    ing.  The Secretary describes as "insupportable" the ALJ's
    stated reasons for crediting Eget and Houck:  the absence of
    motive for tampering and the strong disincentive from their
    knowledge of possible sanctions.  The Secretary also argues
    that these witnesses contradicted themselves and each other.
    The Secretary asserts that it was error for the ALJ to have
    believed those witnesses, arguing that "[b]ecause denials of
    tampering by ESD witnesses are inconsistent with the other
    evidence, the ALJ's credibility findings would not stand even
    if they had been based on demeanor."  For this remarkable
    proposition, the Secretary cites two cases, Bishopp v. District
    of Columbia, 
    788 F.2d 781
    , 785-86 (D.C. Cir. 1986);  and
    Millar v. FCC, 
    707 F.2d 1530
    , 1539 (D.C. Cir. 1983).  Unsur-
    prisingly, neither of these cases goes anywhere nearly so far
    as to say that a trier of fact commits error by believing a
    witness whose evidence is inconsistent with other evidence.
    Logically, of course, the Secretary's proposition could not
    stand.  If evidence could not be credited when it was contra-
    dictory to other evidence, then presumably neither could the
    other evidence be credited since it is contradictory to that
    rejected in the first instance.  As one might expect, neither
    the Bishopp nor the Millar case stands for the proposition
    which the Secretary asserts.
    What we actually held in Bishopp was that "we must be
    particularly careful to defer to the district court's credibility
    findings...."  
    788 F.2d at 786
    .  Obviously, that is the very
    opposite of what the Secretary asserts.  With due charity to
    the Secretary, we note that we went on to say that in "the
    rare case" we would reverse even "under this very restricted
    scope of review," when "the judge below credited a witness
    whose testimony was so internally inconsistent or implausible
    on its face that a reasonable factfinder could not credit it."
    
    Id.
      Millar is to the same effect, allowing for a reversal
    where a witness's testimony is "so incredible," or is faced by
    "contrary evidence ... so overwhelming," that a reasonable
    factfinder could not believe the testimony regardless of the
    witness's demeanor.  
    707 F.2d at 1539
    .  Thus, both of the
    cases upon which the Secretary relies are little more than
    restatements of the "reasonable factfinder" standard of re-
    view as applied to credibility determinations.  We have allud-
    ed to the Secretary's misunderstanding of that standard
    above, and will discuss the same further infra.  As to this
    argument, it is sufficient to say that the Secretary has fallen
    far short of that demanding standard.
    The record demonstrates that the ALJ specifically and
    carefully assessed the credibility of the employee witnesses,
    and found that their denials of tampering were not only
    believable, but consistent with other evidence.  The Secretary
    simply has not explained to this Court why we must depart
    from the rule that a factfinder's determinations of credibility
    are entitled to great deference.  Nothing justifies the ex-
    traordinary step of overturning these findings.  See Chen v.
    GAO, 
    821 F.2d 732
    , 738 (D.C. Cir. 1987).
    Accidents, Rough Handling, Filter Manufacturing, Mine
    Environment
    The Secretary would have us reject the ALJ's findings that
    accidents and rough handling of samples could have contrib-
    uted to or explained Keystone's high AWC rate.  These
    conclusions were based on the testimony and theories of
    Keystone's scientific expert Lee, who concluded that handling
    could have accounted for many AWCs;  that short filter-to-foil
    distance increased AWC likelihood;  that increased humidity
    decreased AWC likelihood;  that increased use of scrubbers
    made it more difficult to dislodge dust from filters, decreasing
    the AWC rate;  and that the AWCs on Urling filters resem-
    bled dislodgements caused by impact, not reverse air flow.
    The Secretary argues every detail of the evidence at length.
    In essence, she contends that her scientific evidence was so
    overwhelmingly correct and so clearly compelled her conclu-
    sion that the ALJ could not lawfully have found against her.
    But the record does not support this proposition.
    The ALJ found that in many instances the Secretary's
    scientific evidence was inconclusive or otherwise could not be
    adequately evaluated.  All of these issues involve conflicting
    expert testimony, and this Court must defer to the reasonable
    determination of the trier of fact regarding not only the
    relevance but the reliability of expert testimony presented at
    trial.  See General Electric Co. v. Joiner, 
    118 S. Ct. 512
    (1997);  Daubert v. Merrell Dow Pharmaceuticals, Inc., 
    509 U.S. 579
    , 589 (1993);  see also Millar, 
    707 F.2d at 1539
    .  We
    cannot deem unreasonable the conclusion that the Secretary
    failed to meet her burden of proof.
    The record clearly supports the proposition that accidental
    events caused at least some citable AWCs at Urling.  Hose
    impacts, for example, occurred routinely in the transport of
    sampling apparatus.  Further, because the cassettes were not
    removed and transported separately from the testing appara-
    tus, R&P's filters may have had a greater potential for such
    impacts than other mines.  And, the Secretary conceded that
    filter samples collected by MSHA field personnel sometimes
    contained AWCs, apparently caused by opening and reclosing
    of the filter cassettes at MSHA.  Although there was appar-
    ently no evidence on this point, it is at least possible that the
    Keystone filters might have been opened and reclosed after
    delivery to MSHA. The likelihood of these various possible
    causes cannot be established with mathematical precision.
    The Secretary's burden is to demonstrate, by a preponder-
    ance of the evidence, that intentional tampering actually
    caused the dust dislodgment on the particular filters at issue
    in each citation.  The ALJ and Commission reasonably con-
    cluded that she had not carried that burden.
    III
    Ultimately, the Secretary's position is fraught with misun-
    derstanding of the nature of her burden of proof and of the
    danger of relying on a probabilistic estimate of the correlation
    between some observation and a proffered explanation of its
    cause.  In the first instance, the Secretary never seems to
    accept the fact that we review this case under the standard of
    the reasonable factfinder.  That standard, as we have noted,
    renders the Commission's "findings of fact ... 'conclusive'
    when supported by substantial evidence on the record consid-
    ered as a whole."  United Steelworkers, 
    983 F.2d at 244
    .
    Occasionally, though rarely, we do hold that record evidence
    is not sufficient to support a decision in favor of a party with
    the burden of proof, even in the face of that deferential
    standard.  Even less frequently have we held that evidentiary
    support for the party with the burden of proof was so
    overwhelming that a trier of fact erred by ruling that the
    burdened party had not carried its load.  The Secretary has
    pointed to no such case and our research has uncovered only
    one.  See Gibson Greetings v. NLRB, 
    53 F.3d 385
    , 389 (D.C.
    Cir. 1995).
    The closest the Secretary comes is Bishopp, 
    supra.
      There,
    the plaintiff had lost in the trial court in an employment
    discrimination case.  Obviously, the plaintiff ultimately bore
    the burden of persuasion.  St. Mary's Honor Ctr. v. Hicks,
    
    509 U.S. 502
    , 507-11 (1993).  But in Bishopp, the plaintiffs
    had presented a prima facie case under McDonnell Douglas
    Corp. v. Green, 
    411 U.S. 792
     (1973).  The issue upon which we
    reversed the district court was whether the defendant had
    come forward with legitimate nondiscriminatory reasons for
    the commission of the allegedly discriminatory acts which
    made out the prima facie case.  On that issue, the appellees
    had borne at least the burden of production, and it was on
    that issue that we reversed.  Bishopp, 
    788 F.2d at 789
    .  This
    is not to say that we would never find a record so overwhelm-
    ing as to require us to "direct a verdict" in favor of the party
    with the burden of proof, but it is to say that given the
    deferential standard of review such a case would be rare
    indeed.  This is not such a case.
    Although she picks at various items of evidence, the Secre-
    tary principally relies on her evidence of probability--that it
    was more likely than not that the cause of any given AWC
    was intentional tampering.  This falls far short of the compel-
    ling case in which a reasonable finder of fact must find for the
    party with the burden of proof in the face of direct evidence
    supporting the other litigant.  There is a false sense of
    security that comes from the use of numbers, which in this
    context can appear much like scientific data.  But any useful
    scientific measurement must be accompanied by an estimate
    of its uncertainty, and when the entire body of evidence has
    been considered, the Secretary fails to persuade that she has
    established with any certainty that AWCs in general, or
    Keystone's AWCs in particular, were in fact caused by inten-
    tional tampering.
    Over and over, the Secretary insists that she established
    that the mathematical probability of tampering was some-
    thing greater than 50%.  Arguing from precedents involving
    employment discrimination, she contends that similar statisti-
    cal evidence may be deemed sufficient to establish a prima
    facie case of intentional discrimination or to rebut a defen-
    dant's explanation as pretextual.  See Palmer v. Shultz, 
    815 F.2d 84
    , 90 (D.C. Cir. 1987);  McDonnell Douglas, 
    411 U.S. at 792
    .  Statistics alone may suffice to show illegal discrimina-
    tion "if they are condemning enough," Berger v. Iron Workers
    Reinforced Rodmen Local 201, 
    843 F.2d 1395
    , 1413 (D.C. Cir.
    1988) (citation omitted), and cannot be dismissed "on mere
    conjecture," Palmer, 
    815 F.2d at 106
    .  The Secretary notes
    that in those cases, a result more than two standard devia-
    tions from the mean (indicating a 95% probability that the
    relationship is not random) suffices in most instances to give
    rise to an inference of intentional action.  Berger, 
    843 F.2d at 1412
    .
    These precedents lend little aid to the Secretary's cause.
    Statistics may show a correlation between some characteristic
    (for example, age) and some unequal treatment (for example,
    refusal to hire), yet a finding of discrimination is allowed only
    (1) if the employer fails to present a legitimate justification or
    (2) if the factfinder concludes that the greater weight of the
    evidence, including the statistical data, supports a conclusion
    that the particular employee suffered illegal discrimination.
    In situations where direct evidence is difficult or impossible to
    obtain, a party may meet his burden of proof with statistical
    evidence alone.  (This may account for its acceptance as such
    in some employment discrimination cases.  See, e.g., Berger v.
    Iron Workers Reinforced Rodmen Local 201, 
    843 F.2d at 1413
    ;  Palmer v. Shultz, 
    815 F.2d at 90
    .)  Even then, statis-
    tics must reasonably control for a variety of factors to proper-
    ly define similarly situated employees, and in any event may
    be counterbalanced by evidence providing an alternate expla-
    nation of the pattern or of the particular action in question.
    The weight given to statistical evidence in such cases is not
    absolute, but depends on the degree to which it rules out
    legitimate explanations and how the statistics factor into the
    balance with the other available evidence.  See, e.g., Coward
    v. ADT Security Systems, 
    140 F.3d 271
    , 276-77 (D.C. Cir.
    1998) (Sentelle, J., concurring).  Here, it is true that AWCs
    are not randomly distributed across all mines, and that
    something probably explains the higher frequency of AWCs
    at Urling.  But without direct evidence of tampering, and
    given the substantial basis in the record for alternate theo-
    ries, there are no statistics "condemning enough" to require
    reversal of the judgment below.
    The Secretary throughout this case assumes that proving
    probability is the same thing as convincing a trier of fact by
    the greater weight of the evidence.  While the two proposi-
    tions may sound superficially similar, they are not the same.
    This case well illustrates why.  When the Secretary has cited
    a responding mine for tampering with a particular filter,
    certainly evidence of the probability of the cause of the AWC
    on that filter is relevant.  This relevant evidence does not
    mean that the trier of fact must be convinced to any degree
    that the mine operator's employees tampered with that par-
    ticular filter.  An hypothetical that reverses the facts of this
    case demonstrates why.  If it were the burden of the mine
    operators to prove their innocence, and they came forward
    with evidence that 99% of all filters had never been tampered
    with, this would not mean that they would be entitled to an
    acquittal as to particular filters on which the Secretary could
    offer direct evidence of tampering.  For example, if the same
    witnesses who came forward here to testify that they had
    committed no such acts instead came forward and swore that
    "we tampered with these filters," we could hardly say that a
    reasonable trier of fact would have to disbelieve them because
    statistical data proved that such tampering was extremely
    unlikely.  The same is true here.
    Perhaps the Secretary is right that a majority of the AWCs
    were caused by tampering.  Perhaps she is not.  Either way,
    it is not unreasonable for the finder of fact to conclude that
    the Secretary did not establish that a particular filter in
    evidence fell into the majority rather than the minority group.
    To offer one further hypothetical illustrative of the Secre-
    tary's misconception, we recall the example created by Pro-
    fessor L. Jonathan Cohen.  He posits a situation in which
    uncontroverted evidence establishes that something over half
    of 1000 attendees at a rodeo entered without paying the
    admission fee.  He rightly concludes that even though that
    evidence suggests that it would be "more likely than not" the
    case that a randomly selected attendee had not paid, that
    evidence would be legally insufficient to allow judgment
    against a specific selected attendee for the price of admission.
    Most likely such evidence without more would not even be
    submitted to a jury.  See L. Jonathan Cohen, The Probable
    and the Provable 75 (1977).  In our case, the problem is not
    merely that it is difficult to state with precision the probabili-
    ty that a randomly selected AWC was caused by intentional
    tampering.  The problem here, as in the gatecrasher hypo-
    thetical, is that the uncertainty arising from all of the infor-
    mation not presented to the factfinder (e.g., evidence regard-
    ing potential alternative causes for each AWC, its course of
    handling, mine conditions, and so forth) is of such degree that
    the factfinder cannot confidently say that the weight of the
    evidence supports the proposition.  In other words, the
    weight ascribed to the evidence is affected, in part, by the
    factfinder's judgment about the volume and significance of
    relevant information that is not available for examination.
    See Neil B. Cohen, Conceptualizing Proof and Calculating
    Probabilities:  A Response to Professor Kaye, 
    73 Cornell L. Rev. 78
    , 86 (1987) ("Convincing the factfinder of such a
    probabilistic judgment requires more ... than simply noting
    that the best guess of the probability exceeds 0.5;  rather, ...
    the factfinder also takes into account its judgment as to how
    likely the best guess is to 'hold up.' ").
    Conclusion
    In each of these proceedings, whether we would have
    reached the same conclusion as the ALJ is irrelevant.  We
    might have upheld a ruling in favor of the Secretary on the
    basis of this record.  But the Secretary has not come close to
    proving that the decisions below were unreasonable or not
    supported by substantial evidence.  Indeed, we find it highly
    unlikely that the government would desire a standard of
    review that would allow us to reverse such a decision based
    on nothing more than our distant and inexpert view of the
    record evidence.  We therefore affirm the decision of the
    Commission and deny the petition for review.