CONTENTS. Preface xi. 1. The Role of Multivariate Statistical Methods in
Behavioral Research. 1. 1.1 The Paradigm of Statistical Inference. 1. 1.2
Applications of ...
CONTENTS Preface
xi
1
The Role of Multivariate Statistical Methods in Behavioral Research
1
1.1 1.2 1.3
The Paradigm of Statistical Inference Applications of Informative Inference in Behavioral Research Special Problems of Multivariate Research
1 5 20
2
Mathematical Prerequisites for Multivariate Analysis
23
2.1 2.2 2.3 2.4 2.5 2.6 2.7
The Problem of Notation Elements of Vector Algebra Elements of Matrix Algebra Determinants Vector and Matrix Derivatives Transformations Quadratic Forms
23 24 34 60 66 71 80
3
The Multivariate Normal Distribution
103
3.1 3.2 3.3 3.4 3.5
The Assumptions of Multivariate Normal Statistical Analysis Review of Elementary Distribution Theory The Multivariate Normal Distribution Some Sampling Distributions Derived from the Multivariate Normal Distribution Checking Distribution Assumptions
104 112 129 143 155
4
Principles and Methods of Multivariate Least-Squares Estimation
Randomization and Gauss-Markov Theory in the Analysis of Experiments One-way Designs Crossed Designs Applications of Crossed Designs Error Reduction by Analysis of Covariance
Analysis of Repeated Measurements in the One-Sample Case Analysis of Repeated Measurements in the n-Sample Case Analysis of Covariance of Repeated Measurements
449 468 489
8
Multivariate Analysis of Qualitative Data
506
8.1 8.2
Single-Response Data Multiple-Response Data
507 551
Appendixes
A B
A Table of the Generalized F Statistic Orthogonal Polynomials to n = 10
560 584
References
589
Indexes Name Index Subject Index
607
Addendum Univariate and Multivariate Analysis of Variance of Time-Structured Data
