Hirj K.F. Exact Analysis of Discrete Data

Chapman & Hall/CRC Press, 2006. — 522 p.Researchers in fields ranging from biology and medicine to the social sciences, law, and economics regularly encounter variables that are discrete or categorical in nature. While there is no dearth of books on the analysis and interpretation of such data, these generally focus on large sample methods. When sample sizes are not large or the data are otherwise sparse, exact methods--methods not based on asymptotic theory--are more accurate and therefore preferable.This book introduces the statistical theory, analysis methods, and computation techniques for exact analysis of discrete data. After reviewing the relevant discrete distributions, the author develops the exact methods from the ground up in a conceptually integrated manner. The topics covered range from univariate discrete data analysis, a single and several 2x2 tables, a single and several 2xK tables, incidence density and inverse sampling designs, unmatched and matched case -control studies, paired binary and trinomial response models, and Markov chain data. While most chapters focus on statistical theory and applications, three chapters deal exclusively with computational issues. Detailed worked examples appear throughout the book, and each chapter includes an extensive problem set.Written at an elementary to intermediate level, Exact Analysis of Discrete Data is accessible to anyone having taken a basic course in statistics or biostatistics, bringing to them valuable material previously buried in specialized journals.Discrete Distributions
One-Sided Univariate Analysis
Two-Sided Univariate Analysis
Computing Fundamentals
Elements of Conditional Analysis
Two 2x2 Tables
Assessing Inference
Several 2x2 Tables: I
Several 2x2 Tables: II
The 2xK Table
Polynomial Algorithms: I
Polynomial Algorithms: II
Multinomial Models
Matched and Dependent Data
Reflections on Exactness