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Preface | |
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Acknowledgments | |
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List of Tables | |
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List of Figures | |
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Introduction | |
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Vectors and Matrices | |
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Introduction | |
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Vectors, Vector Spaces, and Vector Subspaces | |
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Bases, Vector Norms, and the Algebra of Vector Spaces | |
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Basic Matrix Operations | |
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Rank, Inverse, and Determinant | |
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Systems of Equations, Transformations, and Quadratic Forms | |
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Limits and Asymptotics | |
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Multivariate Distributions and the Linear Model | |
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Introduction | |
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Random Vectors and Matrices | |
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The Multivariate Normal (MVN) Distribution | |
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The Chi-Square and Wishart Distributions | |
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Other Multivariate Distributions | |
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The General Linear Model | |
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Evaluating Normality | |
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Tests of Covariance Matrices | |
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Tests of Location | |
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Univariate Profile Analysis | |
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Power Calculations | |
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Multivariate Regression Models | |
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Introduction | |
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Multivariate Regression | |
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Multivariate Regression Example | |
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One-Way MANOVA and MANCOVA | |
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One-Way MANOVA/MANCOVA Examples | |
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MANOVA/MANCOVA with Unequal [Sigma][subscript i] or Nonnormal Data | |
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One-Way MANOVA with Unequal [Sigma][subscript i] Example | |
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Two-Way MANOVA/MANCOVA | |
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Two-Way MANOVA/MANCOVA Example | |
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Nonorthogonal Two-Way MANOVA Designs | |
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Unbalance, Nonorthogonal Designs Example | |
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Higher Ordered Fixed Effect, Nested and Other Designs | |
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Complex Design Examples | |
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Repeated Measurement Designs | |
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Repeated Measurements and Extended Linear Hypotheses Example | |
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Robustness and Power Analysis for MR Models | |
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Power Calculations - Power.sas | |
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Testing for Mean Differences with Unequal Covariance Matrices | |
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Seemingly Unrelated Regression Models | |
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Introduction | |
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The SUR Model | |
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Seeming Unrelated Regression Example | |
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The CGMANOVA Model | |
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CGMANOVA Example | |
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The GMANOVA Model | |
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GMANOVA Example | |
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Tests of Nonadditivity | |
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Testing for Nonadditivity Example | |
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Lack of Fit Test | |
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Sum of Profile Designs | |
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The Multivariate SUR (MSUR) Model | |
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Sum of Profile Example | |
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Testing Model Specification in SUR Models | |
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Miscellanea | |
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Multivariate Random and Mixed Models | |
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Introduction | |
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Random Coefficient Regression Models | |
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Univariate General Linear Mixed Models | |
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Mixed Model Examples | |
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Mixed Multivariate Models | |
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Balanced Mixed Multivariate Models Examples | |
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Double Multivariate Model (DMM) | |
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Double Multivariate Model Examples | |
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Multivariate Hierarchical Linear Models | |
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Tests of Means with Unequal Covariance Matrices | |
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Discriminant and Classification Analysis | |
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Introduction | |
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Two Group Discrimination and Classification | |
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Two Group Discriminant Analysis Example | |
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Multiple Group Discrimination and Classification | |
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Multiple Group Discriminant Analysis Example | |
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Principal Component, Canonical Correlation, and Exploratory Factor Analysis | |
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Introduction | |
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Principal Component Analysis | |
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Principal Component Analysis Examples | |
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Statistical Tests in Principal Component Analysis | |
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Regression on Principal Components | |
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Multivariate Regression on Principal Components Example | |
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Canonical Correlation Analysis | |
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Canonical Correlation Analysis Examples | |
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Exploratory Factor Analysis | |
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Exploratory Factor Analysis Examples | |
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Cluster Analysis and Multidimensional Scaling | |
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Introduction | |
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Proximity Measures | |
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Cluster Analysis | |
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Cluster Analysis Examples | |
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Multidimensional Scaling | |
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Multidimensional Scaling Examples | |
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Structural Equation Models | |
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Introduction | |
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Path Diagrams, Basic Notation, and the General Approach | |
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Confirmatory Factor Analysis | |
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Confirmatory Factor Analysis Examples | |
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Path Analysis | |
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Path Analysis Examples | |
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Structural Equations with Manifest and Latent Variables | |
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Structural Equations with Manifest and Latent Variables Example | |
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Longitudinal Analysis with Latent Variables | |
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Exogeniety in Structural Equation Models | |
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Appendix | |
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References | |
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Author Index | |
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Subject Index | |