Chapter 5. Odds Ratio Methods for Stratified Closed Cohort Data

  1. Stephen C. Newman

Published Online: 31 MAR 2003

DOI: 10.1002/0471272612.ch5

Biostatistical Methods in Epidemiology

Biostatistical Methods in Epidemiology

How to Cite

Newman, S. C. (2003) Odds Ratio Methods for Stratified Closed Cohort Data, in Biostatistical Methods in Epidemiology, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471272612.ch5

Publication History

  1. Published Online: 31 MAR 2003
  2. Published Print: 11 JAN 2002

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. David J. Balding,
  2. Peter Bloomfield,
  3. Noel A.C. Cressie,
  4. Nicholas I. Fisher,
  5. Iain M. Johnstone,
  6. J.B. Kadane,
  7. Louise M. Ryan,
  8. David W. Scott,
  9. Adrian F.M. Smith,
  10. Jozef L. Teugels

ISBN Information

Print ISBN: 9780471369141

Online ISBN: 9780471272618

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Keywords:

  • odds ratio;
  • exact;
  • asymptotic;
  • weighted least squares;
  • Mantel–Haenszel

Summary

This chapter presents odds ratio methods for analyzing stratified data from a closed cohort study in which there are two or more exposure categories. One of the aims is to compare asymptotic unconditional, asymptotic conditional, Mantel–Haenszel, and weighted least squares methods, and to demonstrate that in many applications the various methods produce similar numerical results. Recommendations are provided for choosing methods for particular situations.

The section and subsection headings of the chapter are as follows:

  • Asymptotic Unconditional Methods for J (2 × 2) Tables

    • Point Estimates and Fitted Counts

    • Confidence Interval

    • Wald and Likelihood Ratio Tests of Association

    • Wald, Score, and Likelihood Ratio Tests of Homogeneity

    • Test for Linear Trend

  • Asymptotic Conditional Methods for J (2 × 2) Tables

    • Point Estimates and Fitted Counts

    • Confidence Interval

    • Mantel–Haenszel Test of Association

  • Mantel–Haenszel Estimate of the Odds Ratio

  • Weighted Least Squares Methods for J (2 × 2) Tables

  • Interpretation Under Heterogeneity

  • Summary of Examples and Recommendations

  • Asymptotic Methods for J (2 × I) Tables