A test of simultaneous homogeneity against ordered alternatives in multifactorial design |
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Authors: | D.D. Sarath Kulatunga Syoichi Sasabuchi |
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Affiliation: | Department of Mathematics , Faculty of Science Kyushu University-33 , Fukuoka, 812, Japan |
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Abstract: | 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 Shorack's (1967) work where the alternative hypo t hqaLs involves simple order restriction in main effects of one faetor. We derive the likelihood ratio test statistic, E-2 , and its null hypothesis distribution which involves the convolutions of PIrobabilities P(l,k) used in the statistical inference under order restriction , The powers of the E-2 test and the usual F test are compar-ed by simulation. |
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Keywords: | complete layouts isotonic regression latin square design likelihood ratio test multifactorial design order restriction simultaneous hogomeneity |
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