Multiple Comparisons with a Control in Families with Both One-Sided and Two-Sided Hypotheses
Comparing several treatments with a control is a common objective of clinical studies. However, existing procedures mainly deal with particular families of inferences in which all hypotheses are either one- or two-sided. In this article, we seek to develop a procedure which copes with a more general testing environment in which the family of inferences is composed of a mixture of one- and two-sided hypotheses. The proposed procedure provides a more flexible and powerful tool than the existing method. The superiority of this method is also substantiated by a simulation study of average power. Selected critical values are tabulated for the implementation of the proposed procedure. Finally, we provide an illustrative example with sample data extracted from a medical experiment.
Dunnett procedure;multiple comparisons with a control;directional-mixed families;familywise type I error
Econometrics | Health Economics
Statistics in Medicine
Cheung, Siu Hung; KWONG, Koon Shing; Chan, Wai-Sum; and Leung, Shun Piu.
Multiple Comparisons with a Control in Families with Both One-Sided and Two-Sided Hypotheses. (2004). Statistics in Medicine. 23, (19), 2975-2988. Research Collection School Of Economics.
Available at: http://ink.library.smu.edu.sg/soe_research/416
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