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On Identification of the Number of Best Treatments Using the Newman-Keuls Test

✍ Scribed by Samuel S. Wu; Weizhen Wang; David H. Annis

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
130 KB
Volume
50
Category
Article
ISSN
0323-3847

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✦ Synopsis

Abstract

In this paper, we provide a stochastic ordering of the Studentized range statistics under a balanced one‐way ANOVA model. Based on this result we show that, when restricted to the multiple comparisons with the best, the Newman–Keuls (NK) procedure strongly controls experimentwise error rate for a sequence of null hypotheses regarding the number of largest treatment means. In other words, the NK procedure provides an upper confidence bound for the number of best treatments. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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