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.
Cheung
Siu Hung
SH
Department of Statistics, Chinese University of Hong Kong, Hong Kong, China. bl@sparc2.sta.cuhk.edu.hk
Kwong
Koon Shing
KS
Chan
Wai Sum
WS
Leung
Shun Piu
SP
D000368:Aged; D000893:Anti-Inflammatory Agents / Q000494:pharmacology; D000068579:Celecoxib; D002986:Clinical Trials as Topic / Q000379:methods*; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D006801:Humans; D007783:Lactones / Q000494:pharmacology; D009288:Naproxen / Q000494:pharmacology; D011720:Pyrazoles; D012107:Research Design; D012964:Sodium / Q000652:urine; D013449:Sulfonamides / Q000494:pharmacology; D013450:Sulfones
D000893:Anti-Inflammatory Agents; D007783:Lactones; D011720:Pyrazoles; D013449:Sulfonamides; D013450:Sulfones; C116926:rofecoxib; D009288:Naproxen; D012964:Sodium; D000068579:Celecoxib