On Optimum Invariant Tests of Equality of Intraclass Correlation Coefficients

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Title:	On Optimum Invariant Tests of Equality of Intraclass Correlation Coefficients
Authors:	Huang, Wen-tao;Sinha, Bimal K.
Contributors:	淡江大學經營決策學系
Keywords:	Intraclass correlation;invariance;locally most powerful invariant unbiased test;uniformly most powerful invariant unbiased test
Date:	1993-09
Issue Date:	2011-10-20 16:07:17 (UTC+8)
Publisher:	Heidelberg: Springer
Abstract:	In this paper we address the problem of testing the equality ofk intraclass correlation coefficients based on samples from independentp-variate normal populations, and explore various aspects of optimality through invariance. A UMPIU test is derived fork=2, and LMMPIU test of SenGupta and Vermeire (1986) is indicated fork>2. Several approximately optimum invariant tests are also proposed. The tests are compared with the approximate LR tests and Fisher'sZ-tests derived in Konishi and Gupta (1987, 1989). As expected, the performance of the proposed tests turns out to be quite satisfactory and superior to the LR tests andZ-tests.
Relation:	Annals of the Institute of Statistical Mathematics 45(3), pp.579-597
DOI:	10.1007/BF00773357
Appears in Collections:	[Department of Management Sciences] Journal Article

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