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Table of Contents
Intro; Preface; Contents; 1 Introduction; 1.1 Definition of Measurement; 1.2 Definition of Association; 1.3 Dimensions of Association; 1.3.1 Symmetry and Asymmetry; 1.3.2 One-Way and Two-Way Association; 1.3.3 Models of Interpretation; 1.3.4 Cross-Classification; 1.3.5 Correlation, Association, and Agreement; 1.4 Criteria for Measures of Association; 1.5 Degree of Association; 1.6 The Choice of a Measure of Association; 1.7 Overview of Chaps. 2 Through 10; 1.8 Coda; References; 2 Permutation Statistical Methods; 2.1 Two Models of Statistical Inference; 2.2 Permutation Statistical Tests
2.2.1 Exact Permutation TestsAn Exact Permutation Analysis Example; A Second Exact Permutation Analysis Example; 2.2.2 Monte Carlo Permutation Statistical Tests; A Monte Carlo Resampling Analysis Example; A Second Monte Carlo Resampling Analysis Example; 2.2.3 Moment-Approximation Permutation Tests; A Moment-Approximation Analysis Example; Comparisons of the Three Permutation Approaches; A Second Moment-Approximation Analysis Example; 2.3 Analyses of r-Way Contingency Tables; 2.3.1 Tests of Independence; 2.3.2 Tests of Goodness of Fit; 2.4 Permutation and Parametric Statistical Tests
2.4.1 Permutation Tests and Random Sampling2.4.2 Permutation Tests and Normality; 2.4.3 Permutation Tests and Small Sample Sizes; 2.4.4 Permutation Tests and Data Dependency; 2.5 Advantages of Permutation Methods; 2.6 Calculation Efficiency; 2.6.1 High-Speed Computing; 2.6.2 Analysis with Combinations; Example Permutation Analysis; 2.6.3 Mathematical Recursion; A Recursion Example; 2.6.4 Recursion with an Arbitrary Initial Value; 2.6.5 Variable Components of a Test Statistic; 2.7 Coda; References; 3 Nominal-Level Variables, I; 3.1 Chi-squared-Based Measures
Illustration of the Likelihood-Ratio Calculations3.6 Chi-squared Goodness-of-Fit Tests; 3.6.1 Chi-squared Goodness-of-Fit Example; 3.6.2 Likelihood-Ratio Goodness-of-Fit Example; 3.7 Other Goodness-of-Fit Tests; 3.7.1 Partition Theory; 3.7.2 Algorithm; 3.7.3 Examples; Example 1; Example 2; Example 3; 3.7.4 Computational Efficiency; 3.8 Chi-squared and Correlation for r c Tables; 3.8.1 Example Orthonormalization Analysis; Orthonormal Row Weights; Orthonormal Column Weights; Correlation and Chi-squared; 3.8.2 Analysis with Shadow Tables; 3.8.3 Summary; 3.9 Coda; References
2.2.1 Exact Permutation TestsAn Exact Permutation Analysis Example; A Second Exact Permutation Analysis Example; 2.2.2 Monte Carlo Permutation Statistical Tests; A Monte Carlo Resampling Analysis Example; A Second Monte Carlo Resampling Analysis Example; 2.2.3 Moment-Approximation Permutation Tests; A Moment-Approximation Analysis Example; Comparisons of the Three Permutation Approaches; A Second Moment-Approximation Analysis Example; 2.3 Analyses of r-Way Contingency Tables; 2.3.1 Tests of Independence; 2.3.2 Tests of Goodness of Fit; 2.4 Permutation and Parametric Statistical Tests
2.4.1 Permutation Tests and Random Sampling2.4.2 Permutation Tests and Normality; 2.4.3 Permutation Tests and Small Sample Sizes; 2.4.4 Permutation Tests and Data Dependency; 2.5 Advantages of Permutation Methods; 2.6 Calculation Efficiency; 2.6.1 High-Speed Computing; 2.6.2 Analysis with Combinations; Example Permutation Analysis; 2.6.3 Mathematical Recursion; A Recursion Example; 2.6.4 Recursion with an Arbitrary Initial Value; 2.6.5 Variable Components of a Test Statistic; 2.7 Coda; References; 3 Nominal-Level Variables, I; 3.1 Chi-squared-Based Measures
Illustration of the Likelihood-Ratio Calculations3.6 Chi-squared Goodness-of-Fit Tests; 3.6.1 Chi-squared Goodness-of-Fit Example; 3.6.2 Likelihood-Ratio Goodness-of-Fit Example; 3.7 Other Goodness-of-Fit Tests; 3.7.1 Partition Theory; 3.7.2 Algorithm; 3.7.3 Examples; Example 1; Example 2; Example 3; 3.7.4 Computational Efficiency; 3.8 Chi-squared and Correlation for r c Tables; 3.8.1 Example Orthonormalization Analysis; Orthonormal Row Weights; Orthonormal Column Weights; Correlation and Chi-squared; 3.8.2 Analysis with Shadow Tables; 3.8.3 Summary; 3.9 Coda; References