Pritchard v. Dow Agro – Gatekeeping Exemplified

Robert T. Pritchard was diagnosed with Non-Hodgkin’s Lymphoma (NHL) in August 2005; by fall 2005, his cancer was in remission. Mr. Pritchard had been a pesticide applicator, and so, of course, he and his wife sued the deepest pockets around, including Dow Agro Sciences, the manufacturer of Dursban. Pritchard v. Dow Agro Sciences, 705 F.Supp. 2d 471 (W.D.Pa. 2010).

The principal active ingredient of Dursban is chlorpyrifos, along with some solvents, such as xylene, cumene, and ethyltoluene. Id. at 474.  Dursban was licensed for household insecticide use until 2000, when the EPA phased out certain residential applications.  The EPA’s concern, however, was not carcinogenicity:  the EPA categorizes chlorpyrifos as “Group E,” non-carcinogenetic in humans. Id. at 474-75.

According to the American Cancer Society (ACS), the cause or causes of NHL cases are unknown.  Over 60,000 new cases are diagnosed annually, in people from all walks of life, occupations, and lifestyles. The ACS identifies some risk factors, such as age, gender, race, and ethnicity, but the ACS emphasizes that chemical exposures are not proven risk factors or causes of NHL.  See Pritchard, 705 F.Supp. 2d at 474.

The litigation industry does not need scientific conclusions of causal connections; their business is manufacturing certainty in courtrooms. Or at least, the appearance of certainty. The Pritchards found their way to the litigation industry in Pittsburgh, Pennsylvania, in the form of Goldberg, Persky & White, P.C. The Goldberg Persky firm sued Dow Agro, and then put the Pritchards in touch with Dr. Bennet Omalu, to serve as their expert witness.  A lawsuit ensued.

Alas, the Pritchards’ lawsuit ran into a wall, or at least a gate, in the form of Federal Rule of Evidence 702. In the capable hands of Judge Nora Barry Fischer, Rule 702 became an effective barrier against weak and poorly considered expert witness opinion testimony.

Dr. Omalu, no stranger to lost causes, was the medical examiner of San Joaquin County, California, at the time of his engagement in the Pritchard case. After careful consideration of the Pritchards’ claims, Omalu prepared a four page report, with a single citation, to Harrison’s Principles of Internal Medicine.  Id. at 477 & n.6.  This research, however, sufficed for Omalu to conclude that Dursban caused Mr. Pritchard to develop NHL, as well as a host of ailments he had never even sued Dow Agro for, including “neuropathy, fatigue, bipolar disorder, tremors, difficulty concentrating and liver disorder.” Id. at 478. Dr. Omalu did not cite or reference any studies, in his report, to support his opinion that Dursban caused Mr. Pritchard’s ailments.  Id. at 480.

After counsel objected to Omalu’s report, plaintiffs’ counsel supplemented the report with some published articles, including the “Lee” study.  See Won Jin Lee, Aaron Blair, Jane A. Hoppin, Jay H. Lubin, Jennifer A. Rusiecki, Dale P. Sandler, Mustafa Dosemeci, and Michael C. R. Alavanja, “Cancer Incidence Among Pesticide Applicators Exposed to Chlorpyrifos in the Agricultural Health Study,” 96 J. Nat’l Cancer Inst. 1781 (2004) [cited as Lee].  At his deposition, and in opposition to defendants’ 702 motion, Omalu became more forthcoming with actual data and argument.  According to Omalu, the Lee study “the 2004 Lee Study strongly supports a conclusion that high-level exposure to chlorpyrifos is associated with an increased risk of NHL.’’ Id. at 480.

This opinion put forward by Omalu bordered on scientific malpractice.  No; it was malpractice.  The Lee study looked at many different cancer end points, without adjustment for multiple comparisons.  The lack of adjustment means at the very least that any interpretation of p-values or confidence intervals would have to modified to acknowledge the higher rate of random error.  Now for NHL, the overall relative risk (RR) for chlorpyrifos exposure was 1.03, with a 95% confidence interval, 0.62 to 1.70.  Lee at 1783.  In other words, the study that Omalu claimed supported his opinion was about as null a study as can be, with reasonably tight confidence interval that made a doubling of the risk rather unlikely given the sample RR.

If the multiple endpoint testing were not sufficient to dissuade a scientist, intent on supporting the Pritchards’ claims, then the exposure subgroup analysis would have scared any prudent scientist away from supporting the plaintiffs’ claims.  The Lee study authors provided two different exposure-response analyses, one with lifetime exposure and the other with an intensity-weighted exposure, both in quartiles.  Neither analysis revealed an exposure-response trend.  For the lifetime exposure-response trend, the Lee study reported an NHL RR of 1.01, for the highest quartile of chloripyrifos exposure. For the intensity-weighted analysis, for the highest quartile, the authors reported RR = 1.61, with a 95% confidence interval, 0.74 to 3.53).

Although the defense and the district court did not call out Omalu on his fantasy statistical inference, the district judge certainly appreciated that Omalu had no statistically significant associations between chloripyrifos and NHL, to support his opinion. Given the weakness of relying upon a single epidemiologic study (and torturing the data therein), the district court believed that a showing of statistical significance was important to give some credibility to Omalu’s claims.  705 F.Supp. 2d at 486 (citing General Elec. Co. v. Joiner, 522 U.S. 136, 144-46 (1997);  Soldo v. Sandoz Pharm. Corp., 244 F.Supp. 2d 434, 449-50 (W.D. Pa. 2003)).

Figure 3 adapted from Lee

Figure 3 adapted from Lee

What to do when there is really no evidence supporting a claim?  Make up stuff.  Here is how the trial court describes Omalu’s declaration opposing exclusion:

 “Dr. Omalu interprets and recalculates the findings in the 2004 Lee Study, finding that ‘an 80% confidence interval for the highly-exposed applicators in the 2004 Lee Study spans a relative risk range for NHL from slightly above 1.0 to slightly above 2.5.’ Dr. Omalu concludes that ‘this means that there is a 90% probability that the relative risk within the population studied is greater than 1.0’.”

705 F.Supp. 2d at 481 (internal citations omitted); see also id. at 488. The calculations and the rationale for an 80% confidence interval were not provided, but plaintiffs’ counsel assured Judge Fischer at oral argument that the calculation was done using high school math. Id. at 481 n.12. Judge Fischer seemed unimpressed, especially given that there was no record of the calculation.  Id. at 481, 488.

The larger offense, however, was that Omalu’s interpretation of the 80% confidence interval as a probability statement of the true relative risk’s exceeding 1.0, was bogus. Dr. Omalu further displayed his lack of statistical competence when he attempted to defend his posterior probability derived from his 80% confidence interval by referring to a power calculation of a different disease in the Lee study:

“He [Omalu] further declares that ‘‘the authors of the 2004 Lee Study themselves endorse the probative value of a finding of elevated risk with less than a 95% confidence level when they point out that ‘this analysis had a 90% statistical power to detect a 1.5–fold increase in lung cancer incidence’.”

Id. at 488 (court’s quoting of Omalu’s quoting from the Lee study). To quote Wolfgang Pauli, Omalu is so far off that he is “not even wrong.” Lee and colleagues were offering a pre-study power calculation, which they used to justify their looking at the cohort for lung cancer, not NHL, outcomes.  Lee at 1787. The power calculation does not apply to the data observed for lung cancer; and the calculation has absolutely nothing to do with NHL. The power calculation certainly has nothing to do with Omalu’s misguided attempt to offer a calculation of a posterior probability for NHL based upon a subgroup confidence interval.

Given that there were epidemiologic studies available, Judge Fischer noted that expert witnesses were obligated to factor such studies into their opinions. See 705 F.Supp. 2d at 483 (citing Soldo, 244 F.Supp. 2d at 532).  Omalu sins against Rule 702 included his failure to consider any studies other than the Lee study, regardless of how unsupportive the Lee study was of his opinion.  The defense experts pointed to several studies that found lower NHL rates among exposed workers than among controls, and Omalu completely failed to consider and to explain his opinion in the face of the contradictory evidence.  See 705 F.Supp. 2d at 485 (citing Perry v. Novartis Pharm. Corp. 564 F.Supp. 2d 452, 465 (E.D. Pa. 2008)). In other words, Omalu was shown to have been a cherry picker. Id. at 489.

In addition to the abridged epidemiology, Omalu relied upon an analogy between the ethyl-toluene and other solvents that contained benzene rings and benzene itself to argue that these chemicals, supposedly like benzene, cause NHL.  Id. at 487. The analogy was never supported by any citations to published studies, and, of course, the analogy is seriously flawed. Many chemicals, including chemicals made and used by the human body, have benzene rings, without the slightest propensity to cause NHL.  Indeed, the evidence that benzene itself causes NHL is weak and inconsistent.  See, e.g., Knight v. Kirby Inland Marine Inc., 482 F.3d 347 (2007) (affirming the exclusion of Dr. B.S. Levy in a case involving benzene exposure and NHL).

Looking at all the evidence, Judge Fischer found Omalu’s general causation opinions unreliable.  Relying upon a single, statistically non-significant epidemiologic study (Lee), while ignoring contrary studies, was not sound science.  It was not even science; it was courtroom rhetoric.

Omalu’s approach to specific causation, the identification of what caused Mr. Pritchard’s NHL, was equally spurious. Omalu purportedly conducted a “differential diagnosis” or a “differential etiology,” but he never examined Mr. Pritchard; nor did he conduct a thorough evaluation of Mr. Pritchard’s medical records. 705 F.Supp. 2d at 491. Judge Fischer found that Omalu had not conducted a thorough differential diagnosis, and that he had made no attempt to rule out idiopathic or unknown causes of NHL, despite the general absence of known causes of NHL. Id. at 492. The one study identified by Omalu reported a non-statistically significant 60% increase in NHL risk, for a subgroup in one of two different exposure-response analyses.  Although Judge Fischer treated the relative risk less than two as a non-dispositive factor in her decision, she recognized that

“The threshold for concluding that an agent was more likely than not the cause of an individual’s disease is a relative risk greater than 2.0… . When the relative risk reaches 2.0, the agent is responsible for an equal number of cases of disease as all other background causes. Thus, a relative risk of 2.0 … implies a 50% likelihood that an exposed individual’s disease was caused by the agent. A relative risk greater than 2.0 would permit an inference that an individual plaintiff’s disease was more likely than not caused by the implicated agent.”

Id. at 485-86 (quoting from Reference Manual on Scientific Evidence at 384 (2d ed. 2000)).

Left with nowhere to run, plaintiffs’ counsel swung for the bleachers by arguing that the federal court, sitting in diversity, was required to apply Pennsylvania law of evidence because the standards of Rule 702 constitute “substantive,” not procedural law. The argument, which had been previously rejected within the Third Circuit, was as legally persuasive as Omalu’s scientific opinions.  Judge Fischer excluded Omalu’s proffered opinions and granted summary judgment to the defendants. The Third Circuit affirmed in a per curiam decision. 430 Fed. Appx. 102, 2011 WL 2160456 (3d Cir. 2011).

Practical Evaluation of Scientific Claims

The evaluative process that took place in the Pritchard case missed some important details and some howlers committed by Dr. Omalu, but it was more than good enough for government work. The gatekeeping decision in Pritchard was nonetheless the target of criticism in a recent book.

Kristin Shrader-Frechette (S-F) is a professor of science who wants to teach us how to expose bad science. S-F has published, or will soon publish, a book that suggests that philosophy of science can help us expose “bad science.”  See Kristin Shrader-Frechette, Tainted: How Philosophy of Science Can Expose Bad Science (Oxford U.P. 2014)[cited below at Tainted; selections available on Google books]. S-F’s claim is intriguing, as is her move away from the demarcation problem to the difficult business of evaluation and synthesis of scientific claims.

In her introduction, S-F tells us that her book shows “how practical philosophy of science” can counteract biased studies done to promote special interests and PROFITS.  Tainted at 8. Refreshingly, S-F identifies special-interest science, done for profit, as including “individuals, industries, environmentalists, labor unions, or universities.” Id. The remainder of the book, however, appears to be a jeremiad against industry, with a blind eye towards the litigation industry (plaintiffs’ bar) and environmental zealots.

The book promises to address “public concerns” in practical, jargon-free prose. Id. at 9-10. Some of the aims of the book are to provide support for “rejecting demands for only human evidence to support hypotheses about human biology (chapter 3), avoiding using statistical-significance tests with observational data (chapter 12), and challenging use of pure-science default rules for scientific uncertainty when one is doing welfare-affecting science (chapter 14).”

Id. at 10. Hmmm.  Avoiding statistical significance tests for observational data?!?  If avoided, what does S-F hope to use to assess random error?

And then S-F refers to plaintiffs’ hired expert witness (from the Milward case), Carl Cranor, as providing “groundbreaking evaluations of causal inferences [that] have helped to improve courtroom verdicts about legal liability that otherwise put victims at risk.” Id. at 7. Whether someone is a “victim” and has been “at risk” turns on assessing causality. Cranor is not a scientist, and his philosophy of science turns of “weight of the evidence” (WOE), a subjective, speculative approach that is deaf, dumb, and blind to scientific validity.

There are other “teasers,” in the introduction to Tainted.  S-F advertises that her Chapter 5 will teach us that “[c]ontrary to popular belief, animal and not human data often provide superior evidence for human-biological hypotheses.”  Tainted at 11. Chapter 6 will show that“[c]ontrary to many physicists’ claims, there is no threshold for harm from exposure to ionizing radiation.” Id.  S-F tells us that her Chapter 7 will criticize “a common but questionable way of discovering hypotheses in epidemiology and medicine—looking at the magnitude of some effect in order to discover causes. The chapter shows instead that the likelihood, not the magnitude, of an effect is the better key to causal discovery.” Id. at 13. Discovering hypotheses — what is that about? You might have thought that hypotheses were framed from observations and then tested.

Which brings us to the trailer for Chapter 8, in which S-F promises to show that “[c]ontrary to standard statistical and medical practice, statistical-significance tests are not causally necessary to show medical and legal evidence of some effect.” Tainted at 11. Again, the teaser raises lots of questions such as what could S-F possibly mean when she says statistical tests are not causally necessary to show an effect.  Later in the introduction, S-F says that her chapter on statistics “evaluates the well-known statistical-significance rule for discovering hypotheses and shows that because scientists routinely misuse this rule, they can miss discovering important causal hypotheses. Id. at 13. Discovering causal hypotheses is not what courts and regulators must worry about; their task is to establish such hypotheses with sufficient, valid evidence.

Paging through the book reveals that a rhetoric that is thick and unremitting, with little philosophy of science or meaningful advice on how to evaluate scientific studies.  The statistics chapter calls out, and lo, it features a discussion of the Pritchard case. See Tainted, Chapter 8, “Why Statistics Is Slippery: Easy Algorithms Fail in Biology.”

The chapter opens with an account of German scientist Fritz Haber’s development of organophosphate pesticides, and the Nazis use of related compounds as chemical weapons.  Tainted at 99. Then, in a fevered non-sequitur and rhetorical flourish, S-F states, with righteous indignation, that although the Nazi researchers “clearly understood the causal-neurotoxic effects of organophosphate pesticides and nerve gas,” chemical companies today “claim that the causal-carcinogenic effects of these pesticides are controversial.” Is S-F saying that a chemical that is neurotoxic must be carcinogenic for every kind of human cancer?  So it seems.

Consider the Pritchard case.  Really, the Pritchard case?  Yup; S-F holds up the Pritchard case as her exemplar of what is wrong with civil adjudication of scientific claims.  Despite the promise of jargon-free language, S-F launches into a discussion of how the judges in Pritchard assumed that statistical significance was necessary “to hypothesize causal harm.”  Tainted at 100. In this vein, S-F tells us that she will show that:

“the statistical-significance rule is not a legitimate requirement for discovering causal hypotheses.”

Id. Again, the reader is left to puzzle why statistical significance is discussed in the context of hypothesis discovery, whatever that may be, as opposed to hypothesis testing or confirmation. And whatever it may be, we are warned that “unless the [statistical significance] rule is rejected as necessary for hypothesis-discovery, it will likely lead to false causal claims, questionable scientific theories, and massive harm to innocent victims like Robert Pritchard.”

Id. S-F is decidedly not adverting to Mr. Pritichard’s victimization by the litigation industry and the likes of Dr. Omalu, although she should. S-F not only believes that the judges in Pritchard bungled their gatekeeping wrong, she knows that Dr. Omalu was correct, and the defense experts wrong, and that Pritchard was a victim of Dursban and of questionable scientific theories that were used to embarrass Omalu and his opinions.

S-F promised to teach her readers how to evaluate scientific claims and detect “tainted” science, but all she delivers here is an ipse dixit.  There is no discussion of the actual measurements, extent of random error, or threats to validity, for studies cited either by the plaintiffs or the defendants in Pritchard.  To be sure, S-F cites the Lee study in her endnotes, but she never provides any meaningful discussion of that study or any other that has any bearing on chlorpyrifos and NHL.  S-F also cited two review articles, the first of which provides no support for her ipse dixit:

“Although mutagenicity and chronic animal bioassays for carcinogenicity of chlorpyrifos were largely negative, a recent epidemiological study of pesticide applicators reported a significant exposure response trend between chlorpyrifos use and lung and rectal cancer. However, the positive association was based on small numbers of cases, i.e., for rectal cancer an excess of less than 10 cases in the 2 highest exposure groups. The lack of precision due to the small number of observations and uncertainty about actual levels of exposure warrants caution in concluding that the observed statistical association is consistent with a causal association. This association would need to be observed in more than one study before concluding that the association between lung or rectal cancer and chlorpyrifos was consistent with a causal relationship.

There is no evidence that chlorpyrifos is hepatotoxic, nephrotoxic, or immunotoxic at doses less than those that cause frank cholinesterase poisoning.”

David L. Eaton, Robert B. Daroff, Herman Autrup, James Bridges, Patricia Buffler, Lucio G. Costa, Joseph Coyle, Guy McKhann, William C. Mobley, Lynn Nadel, Diether Neubert, Rolf Schulte-Hermann, and Peter S. Spencer, “Review of the Toxicology of Chlorpyrifos With an Emphasis on Human Exposure and Neurodevelopment,” 38 Critical Reviews in Toxicology 1, 5-6(2008).

The second cited review article was written by clinical ecology zealot[1], William J. Rea. William J. Rea, “Pesticides,” 6 Journal of Nutritional and Environmental Medicine 55 (1996). Rea’s article does not appear in Pubmed.

Shrader-Frechette’s Criticisms of Statistical Significance Testing

What is the statistical significance against which S-F rails? She offers several definitions, none of which is correct or consistent with the others.

“The statistical-significance level p is defined as the probability of the observed data, given that the null hypothesis is true.8

Tainted at 101 (citing D. H. Johnson, “What Hypothesis Tests Are Not,” 16 Behavioral Ecology 325 (2004). Well not quite; attained significance probability is the probability of data observed or those more extreme, given the null hypothesis.  A Tainted definition.

Later in Chapter 8, S-F discusses significance probability in a way that overtly commits the transposition fallacy, not a good thing to do in a book that sets out to teach how to evaluate scientific evidence:

“However, typically scientists view statistical significance as a measure of how confidently one might reject the null hypothesis. Traditionally they have used a 0.05 statistical-significance level, p < or = 0.05, and have viewed the probability of a false-positive (incorrectly rejecting a true null hypothesis), or type-1, error as 5 percent. Thus they assume that some finding is statistically significant and provides grounds for rejecting the null if it has at least a 95-percent probability of not being due to chance.

Tainted at 101. Not only does the last sentence ignore the extent of error due to bias or confounding, it erroneously assigns a posterior probability that is the complement of the significance probability.  This error is not an isolated occurrence; here is another example:

“Thus, when scientists used the rule to examine the effectiveness of St. John’s Wort in relieving depression,14 or when they employed it to examine the efficacy of flutamide to treat prostate cancer,15 they concluded the treatments were ineffective because they were not statistically significant at the 0.05 level. Only at p < or = 0.14 were the results statistically significant. They had an 86-percent chance of not being due to chance.16

Tainted at 101-02 (citing papers by Shelton (endnote 14)[2], by Eisenberger (endnote 15) [3], and Rothman’s text (endnote 16)[4]). Although Ken Rothman has criticized the use of statistical significance tests, his book surely does not interpret a p-value of 0.14 as an 86% chance that the results were not due to chance.

Although S-F previous stated that statistical significance is interpreted as the probability that the null is true, she actually goes on to correct the mistake, sort of:

“Requiring the statistical-significance rule for hypothesis-development also is arbitrary in presupposing a nonsensical distinction between a significant finding if p = 0.049, but a nonsignificant finding if p = 0. 051.26 Besides, even when one uses a 90-percent (p < or = 0.10), an 85-percent (p < or = 0.15), or some other confidence level, it still may not include the null point. If not, these other p values also show the data are consistent with an effect. Statistical-significance proponents thus forget that both confidence levels and p values are measures of consistency between the data and the null hypothesis, not measures of the probability that the null is true. When results do not satisfy the rule, this means merely that the null cannot be rejected, not that the null is true.”

Tainted at 103.

S-F’s repeats some criticisms of significance testing, most of which involve their own misunderstandings of the concept.  It hardly suffices to argue that evaluating the magnitude of random error is worthless because it does not measure the extent of bias and confounding.  The flaw lies in those who would interpret the p-value as the sole measure of error involved in a measurement.

S-F takes the criticisms of significance probability to be sufficient to justify an alternative approach: evaluating causal hypotheses “on a preponderance of evidence,47 whether effects are more likely than not.”[5] Here citations, however, do not support the notion that an overall assessment of the causal hypothesis is a true alternative of statistical testing, but rather only a later step in the causal assessment, which presupposes the previous elimination of random variability in the observed associations.

S-F compounds her confusion by claiming that this purported alternative is superior to significance testing or any evaluation of random variability, and by noting that juries in civil cases must decide causal claims on the preponderance of the evidence, not on attained significance probabilities:

“In welfare-affecting areas of science, a preponderance-of-evidence rule often is better than a statistical-significance rule because it could take account of evidence based on underlying mechanisms and theoretical support, even if evidence did not satisfy statistical significance. After all, even in US civil law, juries need not be 95 percent certain of a verdict, but only sure that a verdict is more likely than not. Another reason for requiring the preponderance-of-evidence rule, for welfare-related hypothesis development, is that statistical data often are difficult or expensive to obtain, for example, because of large sample-size requirements. Such difficulties limit statistical-significance applicability. ”

Tainted at 105-06. S-F’s assertion that juries need not have 95% certainty in their verdict is either a misunderstanding or a misrepresentation of the meaning of a confidence interval, and a conflation of two very kinds of probability or certainty.  S-F invites a reading that commits the transposition fallacy by confusing the probability involved in a confidence interval with that involved in a posterior probability.  S-F’s claim that sample size requirements often limit the ability to use statistical significance evaluations is obviously highly contingent upon the facts of case, but in civil cases, such as Pritchard, this limitation is rarely at play.  Of course, if the sample size is too small to evaluate the role of chance, then a scientist should probably declare the evidence too fragile to support a causal conclusion.

S-F also postulates that that a posterior probability rather than a significance probability approach would “better counteract conflicts of interest that sometimes cause scientists to pay inadequate attention to public-welfare consequences of their work.” Tainted at 106. This claim is a remarkable assertion, which is not supported by any empirical evidence.  The varieties of evidence that go into an overall assessment of a causal hypothesis are often quantitatively incommensurate.  The so-called preponderance-of-the-evidence described by S-F is often little more than a subjective overall assessment of weight of the evidence.  The approving citations to the work of Carl Cranor support interpreting S-F to endorse this subjective, anything-goes approach to weight of the evidence.  As for WOE eliminating inadequate attention to “public welfare,” S-F’s citations actually suggest the opposite. S-F’s citations to the 1961 reviews by Wynder and by Little illustrate how subjective narrative reviews can be, with diametrically opposed results.  Rather than curbing conflicts of interest, these subjective, narrative reviews illustrate how contrary results may be obtained by the failure to pre-specify criteria of validity, and inclusion and exclusion of admissible evidence. Still, S-F asserts that “up to 80 percent of welfare-related statistical studies have false-negative or type-II errors, failing to reject a false null.” Tainted at 106. The support for this assertion is a citation to a review article by David Resnik. See David Resnik, “Statistics, Ethics, and Research: An Agenda for Education and Reform,” 8 Accountability in Research 163, 183 (2000). Resnik’s paper is a review article, not an empirical study, but at the page cited by S-F, Resnik in turn cites to well-known papers that present actual data:

“There is also evidence that many of the errors and biases in research are related to the misuses of statistics. For example, Williams et al. (1997) found that 80% of articles surveyed that used t-tests contained at least one test with a type II error. Freiman et al. (1978)  * * *  However, empirical research on statistical errors in science is scarce, and more work needs to be done in this area.”

Id. The papers cited by Resnik, Williams (1997)[6] and Freiman (1978)[7] did identify previously published studies that over-interpreted statistically non-significant results, but the identified type-II errors were potential errors, not ascertained errors, because the authors made no claim that every non-statistically significant result actually represented a missed true association. In other words, S-F is not entitled to say that these empirical reviews actually identified failures to reject fall null hypotheses. Furthermore, the empirical analyses in the studies cited by Resnik, who was in turn cited by S-F, did not look at correlations between alleged conflicts of interest and statistical errors. The cited research calls for greater attention to proper interpretation of statistical tests, not for their abandonment.

In the end, at least in the chapter on statistics, S-F fails to deliver much if anything on her promise to show how to evaluate science from a philosophic perspective.  Her discussion of the Pritchard case is not an analysis; it is a harangue. There are certainly more readable, accessible, scholarly, and accurate treatments of the scientific and statistical issues in this book.  See, e.g., Michael B. Bracken, Risk, Chance, and Causation: Investigating the Origins and Treatment of Disease (2013).

[1] Not to be confused with the deceased federal judge by the same name, William J. Rea. William J. Rea, 1 Chemical Sensitivity – Principles and Mechanisms (1992); 2 Chemical Sensitivity – Sources of Total Body Load (1994),  3 Chemical Sensitivity – Clinical Manifestation of Pollutant Overload (1996), 4 Chemical Sensitivity – Tools of Diagnosis and Methods of Treatment (1998).

[2] R. C. Shelton, M. B. Keller, et al., “Effectiveness of St. John’s Wort in Major Depression,” 285 Journal of the American Medical Association 1978 (2001).

[3] M. A. Eisenberger, B. A. Blumenstein, et al., “Bilateral Orchiectomy With or Without Flutamide for Metastic [sic] Prostate Cancer,” 339 New England Journal of Medicine 1036 (1998).

[4] Kenneth J. Rothman, Epidemiology 123–127 (NY 2002).

[5] Endnote 47 references the following papers: E. Hammond, “Cause and Effect,” in E. Wynder, ed., The Biologic Effects of Tobacco 193–194 (Boston 1955); E. L. Wynder, “An Appraisal of the Smoking-Lung-Cancer Issue,”264  New England Journal of Medicine 1235 (1961); see C. Little, “Some Phases of the Problem of Smoking and Lung Cancer,” 264 New England Journal of Medicine 1241 (1961); J. R. Stutzman, C. A. Luongo, and S. A McLuckey, “Covalent and Non-Covalent Binding in the Ion/Ion Charge Inversion of Peptide Cations with Benzene-Disulfonic Acid Anions,” 47 Journal of Mass Spectrometry 669 (2012). Although the paper on ionic charges of peptide cations is unfamiliar, the other papers do not eschew traditional statistical significance testing techniques. By the time these early (1961) reviews were written, the association that was reported between smoking and lung cancer was clearly accepted as not likely explained by chance.  Discussion focused upon bias and potential confounding in the available studies, and the lack of animal evidence for the causal claim.

[6] J. L. Williams, C. A. Hathaway, K. L. Kloster, and B. H. Layne, “Low power, type II errors, and other statistical problems in recent cardiovascular research,” 42 Am. J. Physiology Heart & Circulation Physiology H487 (1997).

[7] Jennie A. Freiman, Thomas C. Chalmers, Harry Smith and Roy R. Kuebler, “The importance of beta, the type II error and sample size in the design and interpretation of the randomized control trial: survey of 71 ‛negative’ trials,” 299 New Engl. J. Med. 690 (1978).

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