Categorical and Nonparametric Data Analysis: Choosing the Best Statistical Technique (Multivariate Applications Series)

Cover
Endorsements
Half Title
Series
Title
Copyright
Contents
Detailed Contents
About the Authors
Preface
Foreword
Acknowledgments
Chapter 1 Levels of Measurement, Probability, and the Binomial Formula
	Levels of Measurement
	Probability
	The Binomial Formula
	Problems
	Appendix 1.1: Logic Behind Combination Formula (Eq. 1.9)
Chapter 2 Estimation and Hypothesis Testing
	Estimation
	Hypothesis Testing
	The Binomial Test
	Summary
	Problems
	Technical Notes
	Appendix 2.1: Derivation of the Mean and SE of the Sampling Distribution for P
Chapter 3 Random Variables and Probability Distributions
	Random Variables
	Testing the Shape of a Distribution
	Problems
	Technical Notes
	Appendix 3.1: Linear Combination of Two Random Variables
Chapter 4 Contingency Tables: The Chi-Square Test of Independence and Associated Effect Sizes
	The Contingency Table
	Effect Sizes
	Measures of Association
	Using IBM SPSS and R
	Summary
	Problems
	Technical Notes
Chapter 5 Contingency Tables: Special Situations
	The Small Sample Case: Fisher’s Exact Test
	McNemar Test (for Related Samples)
	Controlling for a Third Variable: The Mantel-Haenszel Test
	Summary
	Problems
	Technical Notes
	Appendix 5.1: Understanding the Hypergeometric Distribution
	Appendix 5.2: Understanding the Mantel-Haenszel Formula
Chapter 6 Basic Nonparametric Tests for Ordinal Data: (With Edgar Brunner, University of Göttingen)
	Introduction to Nonparametric Statistics
	Summary
	Analysis of Association or Trend
	Comparing Two Groups
	Assessing Dispersion
	Summary
	Problems
	Technical Notes
	Appendix 6.1: Sum of Consecutive Integers
Chapter 7 Nonparametric Tests for Multiple Independent Samples: (With Edgar Brunner, University of Göttingen)
	Global Tests
	Multiple Comparisons
	Multi-Factorial Designs
	Summary
	Problems
	Technical Notes
	Appendix 7.1: Logic Behind Kruskal-Wallis Eq. 7.2
	Appendix 7.2: Efron’s Dice Paradox and Intransitivity
	Appendix 7.3: The Multiple Contrast Test
	Appendix 7.4: ATS Procedure and Wald-Type Statistics
Chapter 8 Nonparametric Tests for Related Samples: (With Edgar Brunner, University of Göttingen)
	Two Samples
	Three or More Samples
	Time Curves and Interactions
	Summary
	Problems
	Technical Notes
	Appendix 8.1: Derivation of Eq. 8.1 for the Asymptotic Sign Test
Chapter 9 Linear Regression and Generalized Linear Models
	Review of Linear Regression
	The General Linear Model
	Generalized Linear Models
	Summary
	Problems
	Technical Notes
	Appendix 9.1: Proofs of Selected OLS Theorems
Chapter 10 Binary Logistic Regression
	Basics of Logistic Regression
	Model Building and Refinement
	Summary
	Problems
	Technical Notes
	Appendix 10.1: Selected Proofs
	Appendix 10.2 Goodness of Link (GOL) Test
	Appendix 10.3: Dean’s Test for Overdispersion
Chapter 11 Multinomial Logistic, Ordinal, and Poisson Regression
	Multinomial Logistic Regression
	Ordinal Regression
	Poisson Regression
	Summary
	Problems
	Technical Notes
	Appendix 11.1: Poisson Regression Proofs
Chapter 12 Loglinear Analysis
	Basic Theory
	Ordered Contingency Tables
	Sample Considerations
	Summary
	Problems
	Technical Notes
	Appendix 12.1: Derivation of O