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Introduction | |
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Experimental Design | |
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Variables in Experimental Research | |
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Control in Experimentation | |
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Populations and Generalizing | |
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The Basic Experimental Designs | |
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Single-Factor Experiments | |
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Sources of Variability and Sums of Squares | |
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The Logic of Hypothesis Testing | |
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The Component Deviations | |
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Sums of Squares: Defining Formulas | |
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Sums of Squares: Computational Formulas | |
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Exercises | |
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Variance Estimates and the F Ratio | |
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Completing the Analysis | |
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Evaluating the F Ratio | |
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Errors in Hypothesis Testing | |
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A Complete Numerical Example | |
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Unequal Sample Sizes | |
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Exercises | |
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Analytical Comparisons Among Means | |
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The Need for Analytical Comparisons | |
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An Example of Planned Comparisons | |
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Comparisons Among Treatment Means | |
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Evaluating Contrasts with a t Test | |
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Orthogonal Contrasts | |
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Composite Contrasts Derived from Theory | |
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Comparing Three or More Means | |
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Exercises | |
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Analysis of Trend | |
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Analysis of Linear Trend | |
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Analysis of Quadratic Trend | |
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Higher-Order Trend Components | |
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Theoretical Prediction of Trend Components | |
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Planning a Trend Analysis | |
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Monotonic Trend Analysis | |
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Exercises | |
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Simultaneous Comparisons | |
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Research Questions and Type I Error | |
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Planned Comparisons | |
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Restricted Sets of Contrasts | |
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Pairwise Comparisons | |
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Post-Hoc Error Correction | |
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Exercises | |
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The Linear Model and Its Assumptions | |
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The Statistical Model | |
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Sampling Bias and the Loss of Subjects | |
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Violations of Distributional Assumptions | |
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Dealing with Heterogeneity of Variance | |
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Contrasts with Heterogeneous Variance | |
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Exercises | |
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Effect Size, Power, and Sample Size | |
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Descriptive Measures of Effect Size | |
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Effect Sizes in the Population | |
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Power and Sample Size | |
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Determining Sample Size | |
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Determining Power | |
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Exercises | |
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Using Statistical Software | |
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Using the Programs | |
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An Example | |
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Hints, Cautions, and Advice | |
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Exercises | |
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Two-Way Factorial Experiments | |
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Introduction to Factorial Designs | |
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Basic Information from a Factorial Design | |
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The Concept of Interaction | |
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The Definition of an Interaction | |
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Further Examples of Interaction | |
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Measurement of the Dependent Variable | |
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Exercises | |
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The Overall Two-Factor Analysis | |
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Component Deviations | |
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Computations in the Two-Way Analysis | |
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A Numerical Example | |
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The Statistical Model | |
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Designs with a Blocking Factor | |
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Measuring Effect Size | |
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Sample Size and Power | |
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Exercises | |
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Main Effects and Simple Effects | |
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Interpreting a Two-Way Design | |
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Comparisons for the Marginal Means | |
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Interpreting the Interaction | |
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Testing the Simple Effects | |
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Simple Comparisons | |
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Effect Sizes and Power for Simple Effects | |
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Controlling Familywise Type I Error | |
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Exercises | |
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The Analysis of Interaction Components | |
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Types of Interaction Components | |
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Analyzing Interaction Contrasts | |
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Orthogonal Interaction Contrasts | |
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Testing Contrast-by-Factor Interactions | |
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Contrasts Outside the Factorial Structure | |
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Multiple Tests and Type I Error | |
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Exercises | |
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The General Linear Model | |
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The General Linear Model | |
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The General Linear Model | |
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The Two-Factor Analysis | |
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Averaging of Groups and Individuals | |
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Contrasts and Other Analytical Analyses | |
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Sensitivity to Assumptions | |
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Exercises | |
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The Analysis of Covariance | |
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Covariance and Linear Regression | |
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The Analysis of Covariance | |
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Adjusted Means | |
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Extensions of the Design | |
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Assumptions of the Analysis of Covariance | |
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Blocking and the Analysis of Covariance | |
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Preexisting Covariate Differences | |
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Effect Sizes, Power, and Sample Size | |
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Exercises | |
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Within-Subject Designs | |
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The Single-Factor Within-Subject Design | |
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The Analysis of Variance | |
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Analytical Comparisons | |
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Effect Size and Power | |
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Computer Analysis | |
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Exercises | |
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Further Within-Subject Topics | |
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Advantages and Limitations | |
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The Statistical Model | |
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The Sphericity Assumption | |
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Incidental Effects | |
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Analyzing a Counterbalanced Design | |
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Missing Data in Within-Subject Designs | |
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Exercises | |
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The Two-Factor Within-Subject Design | |
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The Overall Analysis | |
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Contrasts and Other Analytical Analyses | |
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Assumptions and the Statistical Model | |
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Counterbalancing of Nuisance Variables | |
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Effect Size and Sample Sizes | |
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Exercises | |
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The Mixed Design: Overall Analysis | |
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The Overall Analysis of Variance | |
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Statistical Model and Assumptions | |
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The Multivariate Alternative | |
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Missing Data and Unequal Sample Sizes | |
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Effect Sizes and Sample-Size Calculations | |
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Exercises | |
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The Mixed Design: Analytical Analyses | |
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Analysis of the Between-Subjects Factor | |
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Analysis of the Within-Subject Factor | |
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Analyses Involving the Interaction | |
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Exercises | |
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Higher Factorial Designs and Other Extensions | |
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The Overall Three-Factor Design | |
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Components of the Three-Way Design | |
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The Three-Way Interaction | |
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Computational Procedures | |
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Effect Size, Sample Size, and Power | |
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Exercises | |
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The Three-Way Analytical Analysis | |
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Overview of the Analytical Analysis | |
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Analyses Involving the Cell Means | |
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Effects Based on Marginal Means | |
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Three-Factor Interaction Components | |
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Contrast-by-Factor Interactions | |
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Extension to Higher-Order Designs | |
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Exercises | |
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Within-Subject and Mixed Designs | |
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Varieties of Three-Factor Designs | |
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The Overall Analysis | |
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Two Examples of Mixed Designs | |
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Analytical Analyses in the A x B x C x S Design | |
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Analytical Analysis in Mixed Designs | |
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Exercises | |
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Random Factors and Generalization | |
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Statistical Generalization over Design Factors | |
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Random Factors and the F Ratio | |
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Error Terms in Random-Factor Designs | |
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Design Considerations with Random Factors | |
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Exercises | |
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Nested Factors | |
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Nested Factors | |
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Analysis of the Nested Designs | |
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Crossing a Nested Factor with Another Factor | |
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Planning a Study with Random Factors | |
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Exercises | |
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Higher-Order Designs | |
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Multifactor Experiments in the Behavioral Sciences | |
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Analyzing Higher-Order Designs | |
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Exercises | |
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Statistical Tables | |
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Critical Values of the F distribution | |
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Critical Values of the t Distribution | |
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Coefficients of Orthogonal Polynomials | |
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Critical Values of the Sidak-Bonferroni t Statistic | |
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Critical Values for Dunnett's Test | |
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Critical Values of the Studentized Range Statistic | |
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Power Functions | |
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Abbreviated Answers to the Exercises | |
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References | |
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Subject Index | |
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Author Index | |