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Response transformations in repeated measures and growth curve models
Authors:Robert J Boik  Charles Todd  Scott K Hyde
Institution:1. Dept. Math. Sciences , Montana State University , Bozeman, MT, 59717-2400;2. Dept. Math. Sciences , Eastern New Mexico University , Portales, NM, 88130;3. Dept. Math, Sciences , Montana State University , Bozeman, MT, 59717-2400
Abstract:This article describes estimation and inference procedures for the parameters of the Box-Cox and foided-power transformations in repeated measures and growth curve models. Procedures for computing maximum likelihood estimates of the transformation and covariance parameters under several covanance structures (omnibus sphericity, local sphericity, and unstructured) are described. Lack of fit statistics and hypothesis tests for comparing these structures also are described. The procedures are illustrated on three data sets. Software for performing the analyses in the SAS System is described and is available from the authors.
Keywords:AIC  Bartlett correction  Box-Cox family  conditional sphericity  Fisher scoring  folded-power  likelihood ratio test  local sphericity  SAS IML  sphericity
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