Comparison of treatments in a combination therapy trial
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Journal of Biopharmaceutical Statistics
- Vol. 1 (2) , 171-183
- https://doi.org/10.1080/10543409108835016
Abstract
Although the min test proposed by Laska and Meisner (1) for testing superiority of a combination to each of its components is the uniformly most powerful monotone test, it is conservative in the neighborhood of origin. Considering a restricted null hypothesis, we analyze a general linear model. The p value associated with the proposed test and a confidence interval for the shortest distance between the combination therapy and component therapies are computed. Analysis of a design with two or more combinations is proposed. A numerical example is given and a problem of optimal allocation of the sample sizes and other relevant design issues are discussed.Keywords
This publication has 7 references indexed in Scilit:
- Testing Whether an Identified Treatment Is BestBiometrics, 1989
- Tests uniformly more powerful than uniformly most powerful monotone testsJournal of Statistical Planning and Inference, 1987
- Multiple Comparison ProceduresWiley Series in Probability and Statistics, 1987
- Evaluating the efficacy of a combination therapyStatistics in Medicine, 1987
- Design of Experiments for Comparing Treatments With a Control: Tables of Optimal Allocations of ObservationsTechnometrics, 1983
- Probability Integrals of Multivariate Normal and Multivariate $t^1$The Annals of Mathematical Statistics, 1963
- Testing Multiparameter HypothesesThe Annals of Mathematical Statistics, 1952