A mixture of the manova and gmanova models |
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Authors: | Vernon M. Chinchilli Ronald K. Elswick |
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Affiliation: | Department of Biostatistics Medical College of Virginia , Virginia commonwealth University , |
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Abstract: | A mixture of the MANOVA and GMANOVA models is presented. The expected value of the response matrix in this model is the sum of two matrix components. The first component represents the GMANOVA portion and the second component represents the MANOVA portion. Maximum likelihood estimators are derived for the parameters in this model, and goodness-of-fit tests are constructed for fuller models via the likelihood ration criterion. Finally, likelihood ration tests for general liinear hypotheses are developed and a numerical example is presented. |
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Keywords: | generalized MANOVA model multivariate growth curve model maximum likelihood estimation likelihood ratio test |
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