Japanese Journal of Biometrics
Online ISSN : 2185-6494
Print ISSN : 0918-4430
ISSN-L : 0918-4430
Preliminary Report
Bartholomew’s Test as a Multiple Contrast Test and its Applications
Tetsuhisa Miwa
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Keywords: Doubly Corrected Williams’s test, Maximum contrast test, Orderd alternative, Pairwise comparisons, Ryan-Einot-Gabriel-Welsh adjustment, Simultaneous confidence intervals, Step-down procedure
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1998 Volume 19 Issue 1.2 Pages 1-9

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Abstract

Bartholomew (1959) proposed a test against ordered alternatives of treatment means. His test was derived as the likelihood ratio test in the one-way analysis of variance model. However, the statistic is also characterised as the maximum of an infinite number of ordered contrasts. In this article we show its applications to pairwise comparisons and simultaneous confidence intervals of contrasts. Necessary statistical tables are given.

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© 1998 The Biometric Society of Japan
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