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How to test hypotheses if you must
Authors:Andrew P. Grieve
Affiliation:ICON Adaptive Trials Innovation Centre, Icon Plc, Marlow, Buckinghamshire, UK
Abstract:Drug development is not the only industrial‐scientific enterprise subject to government regulations. In some fields of ecology and environmental sciences, the application of statistical methods is also regulated by ordinance. Over the past 20years, ecologists and environmental scientists have argued against an unthinking application of null hypothesis significance tests. More recently, Canadian ecologists have suggested a new approach to significance testing, taking account of the costs of both type I and type II errors. In this paper, we investigate the implications of this for testing in drug development and demonstrate that its adoption leads directly to the likelihood principle and Bayesian approaches. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:hypothesis tests  null hypothesis significance tests  type I error  type II error  power  planning of experiments  sample sizing  Neyman–  Pearson lemma  likelihood principle  sampling frame  Lindley's paradox  Bayesian test
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