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| Samples from the Multivariate Normal Population | |
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| Introduction | |
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| Why Do We Need Multivariate Methods? | |
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| Multidimensional Random Variables | |
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| The Multivariate Normal Distribution | |
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| Conditional and Marginal Distributions of Multinormal Variates | |
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| Samples from the Multinormal Population | |
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| Correlation and Regression | |
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| Simultaneous Inferences about Regression Coefficients | |
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| Inferences about the Correlation Matrix | |
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| Samples with Incomplete Observations | |
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| Exercises | |
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| Tests of Hypotheses on Means | |
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| Introduction | |
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| Tests on Means and the T[superscript 2] Statistic | |
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| Simultaneous Inferences for Means | |
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| The Case of Two Samples | |
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| The Analysis of Repeated-Measurements | |
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| Groups of Repeated Measurements: The Paired T[superscript 2] Test | |
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| Profile Analysis for Two Independent Groups | |
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| The Power of Tests on Mean Vectors | |
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| Some Tests with Known Covariance Matrices | |
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| Tests for Outlying Observations | |
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| Testing the Normality Assumption | |
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| Exercises | |
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| The Multivariate Analysis of Variance | |
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| Introduction | |
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| The Multivariate General Linear Model | |
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| The Multivariate Analysis of Variance | |
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| The Multivariate Analysis of Covariance | |
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| Multiple Comparisons in the Multivariate Analysis of Variance | |
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| Profile Analysis | |
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| Curve Fitting for Repeated Measurements | |
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| Other Test Criteria | |
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| Exercises | |
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| Classification by Discriminant Functions | |
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| Introduction | |
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| The Linear Discriminant Function for Two Groups | |
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| Classification with Known Parameters | |
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| The Case of Unequal Covariance Matrices | |
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| Estimation of the Misclassification Probabilities | |
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| Classification for Several Groups | |
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| Linear Discrimination with a Singular Covariance Matrix | |
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| Classification by Logistic Regression | |
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| Some Further Aspects of Classification | |
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| Exercises | |
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| Inferences from Covariance Matrices | |
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| Introduction | |
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| Hypothesis Tests for a Single Covariance Matrix | |
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| Tests for Two Special Patterns | |
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| Testing the Equality of Several Covariance Matrices | |
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| Testing the Independence of Sets of Variates | |
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| Canonical Correlation | |
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| Exercises | |
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| The Structure of Multivariate Observations: I. Principal Components | |
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| Introduction | |
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| The Principal Components of Multivariate Observations | |
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| The Geometrical Meaning of Principal Components | |
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| The Interpretation of Principal Components | |
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| Some Patterned Matrices and Their Principal Components | |
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| The Sampling Properties of Principal Components | |
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| Some Further Topics | |
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| Exercises | |
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| The Structure of Multivariate Observations: II. Factor Analysis | |
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| Introduction | |
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| The Mathematical Model for Factor Analysis | |
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| Estimation of the Factor Loadings | |
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| Testing the Goodness of Fit of the Factor Model | |
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| Examples of Factor Analyses | |
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| Factor Rotation | |
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| An Alternative Model for Factor Analysis | |
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| The Evaluation of Factors | |
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| Models for the Dependence Structure of Ordered Responses | |
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| Clustering Sampling Units | |
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| Multidimensional Scaling | |
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| Exercises | |
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| References | |
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| Tables and Charts | |
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| Upper Critical Values of the Standard Normal Distribution | |
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| Upper Critical Values of the Chi-squared Distribution | |
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| Upper Percentage Points of the t Distribution | |
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| Upper Percentage Points of the F Distribution | |
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| The Fisher z Transformation | |
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| Minimum Sample Sizes for a Single-Sample Repeated Measures Design | |
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| Charts 1-8: Power Functions of the F Test | |
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| Charts 9-16 and Table 7-15: Upper percentage points of the largest characteristic root | |
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| Data Sets | |
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| Wechsler Adult Intelligence Scale subtest scores | |
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| Iris Species Petal and Sepal Measurements | |
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| Obesity Study Biochemical Levels | |
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| Financial Ratios of Solvent and Financially Distressed Property Liability Insurers | |
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| Financial Ratios of Bankrupt and Solvent Companies | |
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| Dimensions and Characteristics of Winged Aphids (Alate adelges) | |
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| Exchangeable Cations in Forest Soil | |
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| Average Instructor and Course Evaluations for Business School Faculty Members | |
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| Name Index | |
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| Subject Index | |