1987Research Quarterly for Exercise and SportRequires access

The Analysis of Repeated Measures Designs Involving Multiple Dependent Variables

Robert W. Schutz, Marc E. Gessaroli

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Abstract

Experimental designs involving repeated measures may be analyzed using traditional ANOVA methods (if all assumptions are met), or, given sufficient sample size, with a MANOVA-type procedure (if only some assumptions are met). Recent statistical advances have made possible the extension of these procedures to repeated measures experimental designs involving multiple dependent variables. This tutorial presents the concepts, complete examples (including computer control commands), and interpretations for four methods of testing differences among means in a mixed model repeated measures design. The four methods of analysis are: The traditional ANOVA and the MANOVA method for the single dependent variable case, and a Multivariate Mixed Model analysis and a Doubly Multivariate analysis for the multiple dependent variable case.

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What this paper is about

Experimental designs involving repeated measures may be analyzed using traditional ANOVA methods (if all assumptions are met), or, given sufficient sample size, with a MANOVA-type procedure (if only some assumptions are met). Recent statistical advances have made possible the extension of these procedures to repeated measures experimental designs involving multiple dependent variables. This tutorial presents the concepts, complete examples (including computer control commands), and interpretations for four methods of testing differences among means in a mixed model repeated measures design. The four methods of analysis are: The traditional ANOVA and the MANOVA method for the single dependent variable case, and a Multivariate Mixed Model analysis and a Doubly Multivariate analysis for the multiple dependent variable case.

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Available abstract

Experimental designs involving repeated measures may be analyzed using traditional ANOVA methods (if all assumptions are met), or, given sufficient sample size, with a MANOVA-type procedure (if only some assumptions are met). Recent statistical advances have made possible the extension of these procedures to repeated measures experimental designs involving multiple dependent variables. This tutorial presents the concepts, complete examples (including computer control commands), and interpretations for four methods of testing differences among means in a mixed model repeated measures design. The four methods of analysis are: The traditional ANOVA and the MANOVA method for the single dependent variable case, and a Multivariate Mixed Model analysis and a Doubly Multivariate analysis for the multiple dependent variable case.

Key concepts: Multivariate analysis of variance, Repeated measures design, Analysis of variance, Mixed-design analysis of variance, Statistics, Multivariate statistics, Multivariate analysis, Sample size determination

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