Multiple Comparisons with a Control in Families with Both One-Sided and Two-Sided Hypotheses

• Main Authors: Cheung, Siu Hung, KWONG, Koon Shing, Chan, Wai-Sum, Leung, Shun Piu
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2004
• Subjects: Dunnett procedure;multiple comparisons with a control;directional-mixed families;familywise type I error; Econometrics; Health Economics
• Online Access: https://ink.library.smu.edu.sg/soe_research/416
• Institution: Singapore Management University

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.