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

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 se...

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Veröffentlicht in:	Biometrical journal 2008-10, Vol.50 (5), p.861-869
Hauptverfasser:	Wu, Samuel S., Wang, Weizhen, Annis, David H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of Variance Applications Biology, psychology, social sciences Biometry - methods Diabetes Mellitus, Type 2 - drug therapy Distribution theory Dose-Response Relationship, Drug Exact sciences and technology Experimentwise error rate General topics Humans Hypoglycemic Agents - administration & dosage Linear inference, regression Mathematics Models, Statistical Multiple comparison with the best Newman−Keuls test Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics Step-down procedure Stochastic ordering Stochastic Processes Thiazolidinediones - administration & dosage Treatment Outcome
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Beschreibung
Zusammenfassung:	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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:	0323-3847 1521-4036
DOI:	10.1002/bimj.200710454