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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 | |