Chapter 3. Inference for Contingency Tables

  1. Alan Agresti

Published Online: 26 MAR 2003

DOI: 10.1002/0471249688.ch3

Book Title

Categorical Data Analysis, Second Edition

Categorical Data Analysis, Second Edition

Additional Information

How to Cite

Agresti, A. (2003) Inference for Contingency Tables, in Categorical Data Analysis, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249688.ch3

Author Information

  1. University of Florida, Gainesville, Florida, USA

Publication History

  1. Published Online: 26 MAR 2003
  2. Published Print: 3 JUL 2002

ISBN Information

Print ISBN: 9780471360933

Online ISBN: 9780471249689

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Keywords:

  • odds ratio;
  • chi-squared;
  • Pearson statistic;
  • likelihood-ratio statistic;
  • partitioning chi-squared;
  • residuals;
  • Fisher's exact test;
  • ordinal data

Summary

Chapter 3 applies basic methods of inference to two-way contingency tables. It shows how to construct confidence intervals for association parameters (such as the odds ratio) in 2-by-2 tables, presents chi-squared tests of independence in two-way contingency tables, shows residual analyses and other ways to follow-up chi-squared tests, and presents more powerful methods for tables with ordered classifications. It also discusses small sample methods for tests and confidence intervals, such as Fisher's exact test.

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