Contingency Table Analysis: Methods and Implementation Using R

ISBN-13: 9780817648107 / Angielski / Twarda / 2014 / 304 str.

Kateri, Maria

Opis

Contingency tables arise in diverse fields, including life sciences, education, social and political sciences, notably market research and opinion surveys. Their analysis plays an essential role in gaining insight into structures of the quantities under consideration and in supporting decision making. Combining both theory and applications, this book presents models and methods for the analysis of two- and multidimensional-contingency tables. The author uses a threefold approach, presenting fundamental models and related inference, highlighting their interpretational aspects, and demonstrating their practical usefulness. Special features and topics include: * A characteristic motivating example for each topic covered * Review of classical and recent methodology for analysis of contingency tables * Emphasis on applications and methods of fitting models using standard statistical tools - such as SPSS, R, and BUGS - and on interpretation of the results * Elaborated account of association and symmetry models * Focus on treatment of ordinal variables * Detailed insight into exact and Bayesian inference * Presentation of selected advanced topics, including a discussion of the related literature and links to corresponding algorithms * Up-to-date supplementary material available on the author's website An excellent reference for advanced undergraduates, graduate students, and practitioners in statistics as well as biosciences, social sciences, education, and economics, the work may also be used as a textbook for a course on categorical data analysis. Prerequisites include basic background on statistical inference and knowledge of statistical software packages.

Spis treści

Preface.- Introduction.- Analysis of Two-Way Tables.- Analysis of Multi-Way Tables.- Log-Linear Models.- Generalized Linear Models and Extensions.- Association Models.- More on Association Models and Related Methods.- Response Variable Analysis in Contingency Tables.- Analysis of Square Tables.- Further Topics.

Blurb

Combining theory and applications, this book presents models and methods for the analysis of two‐ and multi‐dimensional contingency tables. The author uses a threefold approach: fundamental models and related inferences are presented, their interpretational aspects are highlighted, and their practical usefulness is demonstrated. Throughout, practical guidance for using R is provided along with a comprehensive R-functions web-appendix.

 

Contingency tables arise in diverse fields, including the life, pedagogic, social and political sciences. They also play a prominent role in market research and opinion surveys. The analysis of contingency tables can provide insight into essential structures, relevant quantities and their interactions, and thus leads to improved decision-making.

 

Special features include:

 

·         A motivating example for each topic

·         Applications and implementations in R for all models discussed

·         Emphasis on association and symmetry models

·         Extensive bibliography

·         Up-to-date supplementary material available on the author’s website

 

An excellent reference for graduate students, researchers, and practitioners in statistics as well as in the biosciences and social sciences, Contingency Table Analysis may also be used as a supplementary textbook for courses on categorical data analysis with emphasis on special models for ordinal data. Prerequisites include basic background knowledge of statistical inference.