Statistical analysis of contingency tables

✍ Scribed by Fagerland, Morten W.; Laake, Petter; Lydersen, Stian

• Publisher: Chapman and Hall/;CRC Press
• Year: 2017
• Tongue: English
• Leaves: 657
• Edition: 1
• Category: Library

✦ Synopsis

Statistical Analysis of Contingency Tables is an invaluable tool for statistical inference in contingency tables. It covers effect size estimation, confidence intervals, and hypothesis tests for the binomial and the multinomial distributions, unpaired and paired 2x2 tables, rxc tables, ordered rx2 and 2xc tables, paired cxc tables, and stratified tables. For each type of table, key concepts are introduced, and a wide range of intervals and tests, including recent and unpublished methods and developments, are presented and evaluated. Topics such as diagnostic accuracy, inter-rater reliability, and missing data are also covered. The presentation is concise and easily accessible for readers with diverse professional backgrounds, with the mathematical details kept to a minimum.

For more information, including a sample chapter and software, please visit the authors' website.

✦ Table of Contents

Content: Cover
Half Title
Title
Copyright
Contents
Preface
Chapter 1 Introduction
1.1 Categorical Variables
1.2 Contingency Tables
1.3 Statistical Inference for Contingency Tables
1.3.1 Notation and Concepts
1.3.2 Effect Measures and Effect Estimates
1.3.3 Confidence Intervals
1.3.4 Hypothesis Tests 1.4 Properties of Confidence Intervals and Hypothesis Tests 1.4.1 Basic Properties
1.4.2 Evaluation Criteria for Confidence Intervals
1.4.3 Evaluation Criteria for Hypothesis Tests
1.5 Generalized Linear Models
1.5.1 Introduction 1.5.2 Link Functions for the Binomial Distribution 1.5.3 Loglinear Models versus Logit Link
1.6 Exponential Family
1.6.1 Definitions
1.6.2 UMP Unbiased Tests
1.7 Wald, Likelihood Ratio, and Score Inference 1.8 Deviance, Likelihood Ratio Tests, and Pearson Chi-Squared Tests for Generalized Linear Models 1.9 Exact Methods
1.10 The Mid-P Approach
1.11 Bayes Inference
Chapter 2 The 1 × 2 Table and the Binomial Distribution
2.1 Introduction
2.2 Examples 2.2.1 The Probability of Male Births to Indian Immigrants in Norway 2.2.2 A Randomized Cross-Over Trial of Probiotics Versus Placebo for Patients with Irritable Bowel Syndrome
2.3 Estimation of the Binomial Parameter p
2.4 Confidence Intervals for the Binomial Parameter

✦ Subjects

Contingency tables.;Mathematical statistics.;MATHEMATICS / Applied;MATHEMATICS / Probability & Statistics / General