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

Publication Type

Journal Article

Publication Date

2004

Abstract

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.

Keywords

Dunnett procedure;multiple comparisons with a control;directional-mixed families;familywise type I error

Discipline

Econometrics | Health Economics

Research Areas

Econometrics

Publication

Statistics in Medicine

Volume

23

Issue

19

First Page

2975

Last Page

2988

ISSN

0960-3174

Identifier

10.1002/sim.1883

Additional URL

https://doi.org/10.1002/sim.1883

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