Diagnostics for identifying influential cases in manova |
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| Authors: | Charles W Kish Jr Vernon M Chinchilli |
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| Institution: | 1. Department of Biostatistics , Medical College of Virginia Virginia Commonwealth University , Richmond, Virginia, 23298-0032;2. A.H.Robins Co , 1211 Sherwood Ave, Richmond, Virginia, 23261-6609 |
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| Abstract: | Measures of influence of multivariate cases on the estimated parameter matrix in MANOVA are developed. The development is based on the confidence region resulting from the likelihood ratio criterion, and is patterned after the development of Cook's univariate DImeasure. Influence measures corresponding to the other 3 common multivariate test criteria are presented. Relationships to the measures of Caroni (1987), and Barrett and Ling (1988) are noted. A numerical example is included. |
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| Keywords: | influence measures multivariate linear model Cook's Di confidence regions Wilk's likelihood ratio Hotelling-lawley trace Pillai's trace Roy's largest root |
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