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Unformatted text preview: 1 Chapter 2 Analysis of Groups: Multivariate Analysis of Variance Section 2.1 Introduction to Multivariate Analysis of Variance 3 Objectives Understand when to use multivariate analysis of variance (MANOVA). Review concepts and definitions related to matrices and vectors in multivariate statistics. Understand the assumptions of MANOVA. Recognize multivariate test statistics and how they are calculated. 4 What Is MANOVA? A linear model. A statistical method for identifying group differences on a set of dependent variables. A method that incorporates the interrelationships among dependent variables in examining group differences. 5 ANOVA versus MANOVA R e s p o n s e Y 1 Mean (A) Mean (B) ANOVA R e s p o n s e Y 1 R e s p o n s e Y2 Centroid(A) Centroid(B) MANOVA 6 Statistical Advantages of MANOVA Compared to ANOVA with multiple dependent variables, MANOVA reduces overall type-I error rate accounts for important information such as correlation among the dependent variables...
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- Fall '08