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| Preface | |
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| Commonly Used Notation | |
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| Multivariate Analysis Concepts | |
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| Introduction | |
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| Random Vectors, Means, Variances, and Covariances | |
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| Multivariate Normal Distribution | |
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| Sampling from Multivariate Normal Populations | |
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| Some Important Sample Statistics and Their Distributions | |
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| Tests for Multivariate Normality | |
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| Random Vector and Matrix Generation | |
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| Graphical Representation of Multivariate Data | |
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| Introduction | |
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| Scatter Plots | |
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| Profile Plots | |
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| Andrews Function Plots | |
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| Biplots: Plotting Observations and Variables Together | |
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| Q-Q Plots for Assessing Multivariate Normality | |
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| Plots for Detection of Multivariate Outliers | |
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| Bivariate Normal Distribution | |
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| SAS/INSIGHT Software | |
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| Concluding Remarks | |
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| Multivariate Regression | |
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| Introduction | |
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| Statistical Background | |
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| Least Squares Estimation | |
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| ANOVA Partitioning | |
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| Testing Hypotheses: Linear Hypotheses | |
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| Simultaneous Confidence Intervals | |
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| Multiple Response Surface Modeling | |
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| General Linear Hypotheses | |
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| Variance and Bias Analyses for Calibration Problems | |
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| Regression Diagnostics | |
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| Concluding Remarks | |
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| Multivariate Analysis of Experimental Data | |
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| Introduction | |
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| Balanced and Unbalanced Data | |
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| One-Way Classification | |
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| Two-Way Classification | |
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| Blocking | |
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| Fractional Factorial Experiments | |
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| Analysis of Covariance | |
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| Concluding Remarks | |
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| Analysis of Repeated Measures Data | |
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| Introduction | |
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| Single Population | |
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| k Populations | |
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| Factorial Designs | |
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| Analysis in the Presence of Covariates | |
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| The Growth Curve Models | |
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| Crossover Designs | |
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| Concluding Remarks | |
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| Analysis of Repeated Measures Using Mixed Models | |
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| Introduction | |
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| The Mixed Effects Linear Model | |
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| An Overview of the MIXED Procedure | |
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| Statistical Tests for Covariance Structures | |
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| Models with Only Fixed Effects | |
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| Analysis in the Presence of Covariates | |
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| A Random Coefficient Model | |
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| Multivariate Repeated Measures Data | |
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| Concluding Remarks | |
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| References | |
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| A Brief Introduction to the IML Procedure | |
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| The First SAS Statement | |
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| Scalars | |
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| Matrices | |
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| Printing of Matrices | |
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| Algebra of Matrices | |
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| Transpose | |
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| Inverse | |
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| Finding the Number of Rows and Columns | |
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| Trace and Determinant | |
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| Eigenvalues and Eigenvectors | |
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| Square Root of a Symmetric Nonnegative Definite Matrix | |
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| Generalized Inverse of a Matrix | |
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| Singular Value Decomposition | |
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| Symmetric Square Root of a Symmetric Nonnegative Definite Matrix | |
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| Kronecker Product | |
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| Augmenting Two or More Matrices | |
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| Construction of a Design Matrix | |
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| Checking the Estimability of a Linear Function p'[beta] | |
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| Creating a Matrix from a SAS Data Set | |
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| Creating a SAS Data Set from a Matrix | |
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| Generation of Normal Random Numbers | |
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| Computation of Cumulative Probabilities | |
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| Computation of Percentiles and Cut Off Points | |
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| Data Sets | |
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| Index | |