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Analysis of Type I Error Rates of Univariate and Multivariate Procedures in Repeated Measures Designs
Authors:Pablo Livacic-Rojas  Guillermo Vallejo  Paula Fernández
Affiliation:1. Department of Psychology , Universidad de Santiago de Chile , Santiago, Chile pablo.livacic@usach.cl;3. Department of Psychology , University of Oviedo , Oviedo, Spain
Abstract:We compared the robustness of univariate and multivariate statistical procedures to control Type I error rates when the normality and homocedasticity assumptions were not fulfilled. The procedures we evaluated are the mixed model adjusted by means of the SAS Proc Mixed module, and Bootstrap-F approach, Brown–Forsythe multivariate approach, Welch–James multivariate approach, and Welch–James multivariate approach with robust estimators. The results suggest that the Kenward Roger, Brown–Forsythe, Welch–James, and Improved Generalized Aprroximate procedures satisfactorily kept Type I error rates within the nominal levels for both the main and interaction effects under most of the conditions assessed.
Keywords:Assumption non fulfillment  Repeated measure designs  Type I error
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