Replacing P-values with frequentist posterior probabilities of replication-When possible parameter values must have uniform marginal prior probabilities

PloS One
Huw Llewelyn

Abstract

The prior probabilities of true outcomes for scientific replication have to be uniform by definition. This is because for replication, a study's observations are regarded as samples taken from the set of possible outcomes of an ideally large continuation of that study. (The sampling is not done directly from some source population.) Therefore, each possible outcome is based on the same ideally large number of observations so that all possible outcomes for that study have the same prior probability. The calculation methods were demonstrated on a spreadsheet with simulated data on the distribution of people with an imaginary genetic marker. Binomial distributions are used to illustrate the concepts to avoid the effects of potentially misleading assumptions. Uniform prior probabilities allow a frequentist posterior probability distribution of a study result's replication to be calculated conditional solely on the study's observations. However, they can be combined with prior data or Bayesian prior distributions. If the probability distributions are symmetrical then the frequentist posterior probability of a true result that is equal to or more extreme than a null hypothesis will be the same as the one-sided P-value. This is an ide...Continue Reading

References

May 1, 1992·Statistics in Medicine·S N Goodman
May 5, 2005·Psychological Science·Peter R Killeen
Aug 3, 2005·PLoS Medicine·John P A Ioannidis
Apr 25, 2008·Nature Reviews. Cancer·H Llewelyn Roderick, Simon J Cook
Feb 23, 2012·BMJ : British Medical Journal·Huw Llewelyn
Dec 13, 2012·Epidemiology·Sander Greenland, Charles Poole
Dec 13, 2012·Epidemiology·Andrew Gelman
Jun 13, 2015·Royal Society Open Science·David Colquhoun
Sep 1, 2015·Science·UNKNOWN Open Science Collaboration
May 23, 2016·European Journal of Epidemiology·Sander GreenlandDouglas G Altman
May 27, 2016·Nature·Monya Baker
Jul 13, 2018·Journal of Evaluation in Clinical Practice·Huw Llewelyn
Jan 1, 2018·Nature Human Behaviour·Daniel J BenjaminValen E Johnson

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