Tests for dimensionality and interactions of mean vectors under general and reducible covariance structures

C. Radhakrishna Rao

Journal of Multivariate Analysis, 1985, vol. 16, issue 2, 173-184

Abstract: Likelihood ratio tests are derived for testing the structure of mean values in a two-way classification. The most general hypothesis considered is when the mean values are subject to row and column effects and interaction has a given complexity. The observations corresponding to a row or a column classification are assumed to have an unknown dispersion (variance covariance) matrix. Two types of dispersion matrices are considered, one with a general and another with a reducible structure. Some special cases are considered. The results of the paper provide generalizations of tests on dimensionality and interactions in a two-way array of mean values considered by Fisher, Anderson, Fujikoshi, Mandel, and Rao.

Keywords: Dimensionality; FANOVA; interaction; LR; tests; MANOVA (search for similar items in EconPapers)
Date: 1985
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