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dc.contributor.authorHamdan, Mustafa
dc.contributor.authorHu, Xiaomi
dc.identifier.citationHamdan, Mustafa; Hu, Xiaomi. 2019. Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions. Statistics & Probability Letters, vol. 148:pp 59-65en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractIn this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order restriction. The multivariate order relation in the restriction is a generalization of orders in real numbers. Based on the study of the structure of the acceptance region with respect to a mirror image transformation, and the properties of transformed matrix distributions, the unbiasedness of the test is established.en_US
dc.relation.ispartofseriesStatistics & Probability Letters;v.148
dc.subjectClosed convex coneen_US
dc.subjectMatrix projectionen_US
dc.subjectMultivariate normal distributionen_US
dc.subjectnMultivariate order restrictionen_US
dc.subjectUnbiased testen_US
dc.titleUnbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictionsen_US
dc.rights.holder© 2019 Elsevier B.V. All rights reserved.en_US

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