On Testing Equality of K Multiple Correlation Matrices
On Testing Equality of K Multiple Correlation Matrices
摘要
Coutsourides derived an ad hoc nuisance paratmeter removal test for testing equality of two multiple correlation matrices of two independent p variate normal populations under the assumption that a sample of size n is available from each population. This paper presents a likelihood ratio test criterion for testing equality of K multiple correlation matrices and extends the results to the testing of equality of K partial correlation matrices.
Coutsourides derived an ad hoc nuisance paratmeter removal test for testing equality of two multiple correlation matrices of two independent p variate normal populations under the assumption that a sample of size n is available from each population. This paper presents a likelihood ratio test criterion for testing equality of K multiple correlation matrices and extends the results to the testing of equality of K partial correlation matrices.
参考文献9
-
1A. M. Mathai.Distribution of the canonical correlation matrix[J].Annals of the Institute of Statistical Mathematics.1981(1)
-
2Eaton,M .L.MultivariateStatisticalAnalysis. . 1 972
-
3Wilks,S .S.Certaingeneralizationintheanalysisofvariance[].Biometrika.1932
-
4Wilks,S .S.Samplecriteriafortestingequalityofmeans,equalityofvariances,andequalityofcoveriancesinanormaldistribution[].Ann Math Statist.1946
-
5Coutsourides,D.Distribtuionofcertainteststatisticsinmultivariateregression. . 1 980
-
6Mathai,A .M.Distributionofthecanonicalcorrelationmatrix[].Ann InstStatistMath PartA.1981
-
7Gupta,A .K,Tang ,J.DistributionoflikehoodratiostatisticfortestingequalityofcovariancematricesofmultivariateGaussianmodels[].Biometrika.1984
-
8Gupta,A .K,Javier,W.NonnulldistributionofthedeterminantB statisticinmultivariateanalysis[].SouthAfricanStatistJ.1984
-
9Kabe,D .G.GeneralizationofSverdrup slemmaanditsapplicationstomultivariatedistributiontheory[].Ann Math Statist.1965
-
1Chen Peixin Lu Shijie Tao ChangliDept.of Math.,Zhejiang Univ.,Hangzhou 310027,China..ON FINITE RANK OPERATORS IN CSL ALGEBRAS Ⅲ[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):301-306.
-
2Lu Shijie (Department of Mathematics,Zhejiang University,Hangzhou 310027,China).On Finite Rank Operators in CSL Algebras Ⅱ[J].Acta Mathematica Sinica,English Series,1997,13(3):321-326. 被引量:2