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Dimensionality in Manova Tested by a Closed Testing Procedure

✍ Scribed by Tadeusz Caliński; Michel Lejeune

Book ID
102601147
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
278 KB
Volume
65
Category
Article
ISSN
0047-259X

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✦ Synopsis

The decision on dimensionality of the space spanned by general linear functions of the parameter matrix of a MANOVA model is considered. This problem is related to the investigation, whether graphically or analytically, of significant empirical departures from the overall null hypothesis on these functions. A closed testing procedure for a sequence of relevant hypotheses is proposed. Unlike the classical procedures based on asymptotic distributions of the likelihood ratio statistics, the proposed method ensures that the Type I familywise error rate does not exceed the nominal :-level. Also, it is consistent with testing the overall null hypothesis, while relying on tests of subsequent linear hypotheses implied by the former. Examples are given to compare the proposed procedure with a classical one.

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