A Test of Simultaneous Homogeneity Against Ordered Alternatives in Multifactorial Design

D. D. Sarath Kulatunga, Syoichi Sasabuchi

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

A test of simultaneous homogeneity of main effects of several factors against an alternative hypothesis with simple order restrictions in main effects of more than one factor in a multifactorial design is considered. This can be regarded as an extension of Shoracks (1967) work where the alternative hypothesis involves simple order restriction in main effects of one factor. We derive the likelihood ratio test statistic, E-2, and its null hypothesis distribution which involves the convolutions of probabilities P(l, k) used in the statistical inference under order restriction. The powers of the E-2 test and the usual F test are compared by simulation.

本文言語英語
ページ(範囲)3173-3183
ページ数11
ジャーナルCommunications in Statistics - Theory and Methods
13
25
DOI
出版ステータス出版済み - 1 1 1984

All Science Journal Classification (ASJC) codes

  • 統計学および確率

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