On the Power of Fisher's Combination Test for Two Stage Sampling in the Presence of Nuisance Parameters
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- 1 January 1996
- journal article
- research article
- Published by Wiley in Biometrical Journal
- Vol. 38 (1) , 25-37
Abstract
Combination tests for p‐values are used in meta‐analysis and in multistage testing with adaptive designs (Bauer & Köhne, 1993). The well known combination test due to Fisher is based on the products of p‐values. The power of this test applied to p‐values found from stochastically independent samples at two stages of an experiment is calculated. The probability models assumed correspond to the classical t‐tests for paired comparisons and parallel groups. The loss of power as compared to the optimal t‐tests in the pooled sample is small even for moderate sample sizes differing over stages, however, with one exception: If in the case of parallel groups the sample sizes are substantially unbalanced over treatments, then the combination of two tests with a nonoptimal sample size allocation exaggerates the loss of power.Keywords
This publication has 2 references indexed in Scilit:
- Correction: AS 76: An Integral Useful in Calculating Non-Central t and Bivariate Normal ProbabilitiesJournal of the Royal Statistical Society Series C: Applied Statistics, 1979
- Algorithm AS 76: An Integral Useful in Calculating Non-Central t and Bivariate Normal ProbabilitiesJournal of the Royal Statistical Society Series C: Applied Statistics, 1974