The Fisher, Neyman-Pearson Theories of Testing Hypotheses: One Theory or Two? 论文

1993Journal of the American Statistical Association引用 319
Statistical Methods and InferenceStatistical Methods and Bayesian InferenceGaussian Processes and Bayesian Inference

摘要

Abstract The Fisher and Neyman-Pearson approaches to testing statistical hypotheses are compared with respect to their attitudes to the interpretation of the outcome, to power, to conditioning, and to the use of fixed significance levels. It is argued that despite basic philosophical differences, in their main practical aspects the two theories are complementary rather than contradictory and that a unified approach is possible that combines the best features of both. As applications, the controversies about the Behrens-Fisher problem and the comparison of two binomials (2 × 2 tables) are considered from the present point of view.