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Test of linear hypothesis in multivariate models
Kybernetika, Tome 43 (2007) no. 4, pp. 463-470
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In regular multivariate regression model a test of linear hypothesis is dependent on a structure and a knowledge of the covariance matrix. Several tests procedures are given for the cases that the covariance matrix is either totally unknown, or partially unknown (variance components), or totally known.
In regular multivariate regression model a test of linear hypothesis is dependent on a structure and a knowledge of the covariance matrix. Several tests procedures are given for the cases that the covariance matrix is either totally unknown, or partially unknown (variance components), or totally known.
Classification : 62H15, 62J05
Keywords: multivariate model; linear hypothesis; variance components; insensitive region 
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Kubáček, Lubomír. Test of linear hypothesis in multivariate models. Kybernetika, Tome 43 (2007) no. 4, pp. 463-470. http://geodesic.mathdoc.fr/item/KYB_2007_43_4_a6/

[1] Anderson T. W.: Introduction to Multivariate Statistical Analysis. Wiley, New York 1958 | MR | Zbl

[2] Kubáček L., Kubáčková, L., Volaufová J.: Statistical Models with Linear Structures. Veda (Publishing House of Slovak Academy of Sciences), Bratislava 1995

[3] Lešanská E.: Optimization of the size of nonsensitiveness regions. Appl. Math. 47 (2002), 9–23 | MR

[4] Rao C. R.: Linear Statistical Inference and Its Applications. Second edition. Wiley, New York 1973 | MR | Zbl

[5] Rao C. R., Kleffe J.: Estimation of Variance Components and Applications. North–Holland, Amsterdam 1988 | MR | Zbl

[6] Rao C. R., Mitra S. K.: Generalized Inverse of Matrices and Its Applications. Wiley, New York 1971 | MR | Zbl