| Preface | |
| Acknowledgments | |
| List of Tables | |
| List of Figures | |
| Introduction | p. 1 |
| Vectors and Matrices | p. 7 |
| Introduction | p. 7 |
| Vectors, Vector Spaces, and Vector Subspaces | p. 7 |
| Bases, Vector Norms, and the Algebra of Vector Spaces | p. 12 |
| Basic Matrix Operations | p. 25 |
| Rank, Inverse, and Determinant | p. 41 |
| Systems of Equations, Transformations, and Quadratic Forms | p. 55 |
| Limits and Asymptotics | p. 76 |
| Multivariate Distributions and the Linear Model | p. 79 |
| Introduction | p. 79 |
| Random Vectors and Matrices | p. 79 |
| The Multivariate Normal (MVN) Distribution | p. 84 |
| The Chi-Square and Wishart Distributions | p. 93 |
| Other Multivariate Distributions | p. 99 |
| The General Linear Model | p. 106 |
| Evaluating Normality | p. 118 |
| Tests of Covariance Matrices | p. 133 |
| Tests of Location | p. 149 |
| Univariate Profile Analysis | p. 181 |
| Power Calculations | p. 182 |
| Multivariate Regression Models | p. 185 |
| Introduction | p. 185 |
| Multivariate Regression | p. 186 |
| Multivariate Regression Example | p. 212 |
| One-Way MANOVA and MANCOVA | p. 218 |
| One-Way MANOVA/MANCOVA Examples | p. 234 |
| MANOVA/MANCOVA with Unequal [Sigma][subscript i] or Nonnormal Data | p. 245 |
| One-Way MANOVA with Unequal [Sigma][subscript i] Example | p. 246 |
| Two-Way MANOVA/MANCOVA | p. 246 |
| Two-Way MANOVA/MANCOVA Example | p. 257 |
| Nonorthogonal Two-Way MANOVA Designs | p. 264 |
| Unbalance, Nonorthogonal Designs Example | p. 270 |
| Higher Ordered Fixed Effect, Nested and Other Designs | p. 273 |
| Complex Design Examples | p. 276 |
| Repeated Measurement Designs | p. 282 |
| Repeated Measurements and Extended Linear Hypotheses Example | p. 294 |
| Robustness and Power Analysis for MR Models | p. 301 |
| Power Calculations - Power.sas | p. 304 |
| Testing for Mean Differences with Unequal Covariance Matrices | p. 307 |
| Seemingly Unrelated Regression Models | p. 311 |
| Introduction | p. 311 |
| The SUR Model | p. 312 |
| Seeming Unrelated Regression Example | p. 316 |
| The CGMANOVA Model | p. 318 |
| CGMANOVA Example | p. 319 |
| The GMANOVA Model | p. 320 |
| GMANOVA Example | p. 327 |
| Tests of Nonadditivity | p. 333 |
| Testing for Nonadditivity Example | p. 335 |
| Lack of Fit Test | p. 337 |
| Sum of Profile Designs | p. 338 |
| The Multivariate SUR (MSUR) Model | p. 339 |
| Sum of Profile Example | p. 341 |
| Testing Model Specification in SUR Models | p. 344 |
| Miscellanea | p. 348 |
| Multivariate Random and Mixed Models | p. 351 |
| Introduction | p. 351 |
| Random Coefficient Regression Models | p. 352 |
| Univariate General Linear Mixed Models | p. 357 |
| Mixed Model Examples | p. 369 |
| Mixed Multivariate Models | p. 385 |
| Balanced Mixed Multivariate Models Examples | p. 394 |
| Double Multivariate Model (DMM) | p. 400 |
| Double Multivariate Model Examples | p. 403 |
| Multivariate Hierarchical Linear Models | p. 415 |
| Tests of Means with Unequal Covariance Matrices | p. 417 |
| Discriminant and Classification Analysis | p. 419 |
| Introduction | p. 419 |
| Two Group Discrimination and Classification | p. 420 |
| Two Group Discriminant Analysis Example | p. 429 |
| Multiple Group Discrimination and Classification | p. 434 |
| Multiple Group Discriminant Analysis Example | p. 440 |
| Principal Component, Canonical Correlation, and Exploratory Factor Analysis | p. 445 |
| Introduction | p. 445 |
| Principal Component Analysis | p. 445 |
| Principal Component Analysis Examples | p. 460 |
| Statistical Tests in Principal Component Analysis | p. 468 |
| Regression on Principal Components | p. 474 |
| Multivariate Regression on Principal Components Example | p. 476 |
| Canonical Correlation Analysis | p. 477 |
| Canonical Correlation Analysis Examples | p. 492 |
| Exploratory Factor Analysis | p. 496 |
| Exploratory Factor Analysis Examples | p. 511 |
| Cluster Analysis and Multidimensional Scaling | p. 515 |
| Introduction | p. 515 |
| Proximity Measures | p. 516 |
| Cluster Analysis | p. 522 |
| Cluster Analysis Examples | p. 533 |
| Multidimensional Scaling | p. 541 |
| Multidimensional Scaling Examples | p. 548 |
| Structural Equation Models | p. 557 |
| Introduction | p. 557 |
| Path Diagrams, Basic Notation, and the General Approach | p. 558 |
| Confirmatory Factor Analysis | p. 567 |
| Confirmatory Factor Analysis Examples | p. 575 |
| Path Analysis | p. 580 |
| Path Analysis Examples | p. 586 |
| Structural Equations with Manifest and Latent Variables | p. 594 |
| Structural Equations with Manifest and Latent Variables Example | p. 595 |
| Longitudinal Analysis with Latent Variables | p. 600 |
| Exogeniety in Structural Equation Models | p. 604 |
| Appendix | p. 609 |
| References | p. 625 |
| Author Index | p. 667 |
| Subject Index | p. 675 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
