A Dirty Dozen: Twelve P-Value Misconceptions

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The P value is a measure of statistical evidence that appears in virtually all medical research papers. Its interpretation is made extraordinarily difficult because it is not part of any formal system of statistical inference. As a result, the P value's inferential meaning is widely and often wildly misconstrued, a fact that has been pointed out in innumerable papers and books appearing since at least the 1940s. This commentary reviews a dozen of these common misinterpretations and explains why each is wrong. It also reviews the possible consequences of these improper understandings or representations of its meaning. Finally, it contrasts the P value with its Bayesian counterpart, the Bayes' factor, which has virtually all of the desirable properties of an evidential measure that the P value lacks, most notably interpretability. The most serious consequence of this array of P-value misconceptions is the false belief that the probability of a conclusion being in error can be calculated from the data in a single experiment without reference to external evidence or the plausibility of the underlying mechanism.

References (42)

  • D. Mainland

    The significance of “nonsignificance.”

    Clin Pharm Ther

    (1963)
  • D. Mainland

    Statistical ritual in clinical journals: Is there a cure? —I

    Br Med J

    (1984)
  • W. Edwards et al.

    Bayesian statistical inference for psychological research

    Psych Rev

    (1963)
  • G.A. Diamond et al.

    Clinical trials and statistical verdicts: Probable grounds for appeal

    Ann Intern Med

    (1983)
  • A.R. Feinstein

    Clinical biostatisticsXXXIV. The other side of ‘statistical significance’: Alpha, beta, delta, and the calculation of sample size

    Clin Pharmacol Ther

    (1975)
  • K. Rothman

    Significance questing

    Ann Intern Med

    (1986)
  • P. Pharoah

    How not to interpret a P value?

    J Natl Cancer Inst

    (2007)
  • S.N. Goodman et al.

    Evidence and scientific research

    Am J Public Health

    (1988)
  • L. Braitman

    Confidence intervals extract clinically useful information from data

    Ann Intern Med

    (1988)
  • S.N. Goodman

    Towards evidence-based medical statistics, I: The P-value fallacy

    Ann Intern Med

    (1999)
  • S.N. Goodman

    P-values, hypothesis tests and likelihood: Implications for epidemiology of a neglected historical debate

    Am J Epidemiol

    (1993)
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