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Generalization of the Mantel-Haenszel estimating function for sparse clustered binary data.

Molin Wang1, John M Williamson

  • 1Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, Boston, Massachusetts 02115, USA. mwang@jimmy.harvard.edu

Biometrics
|January 13, 2006
PubMed
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This study introduces new methods to analyze clustered binary data, estimating correlation and main effects. The proposed estimating function approach is computationally efficient and reliable for sparse data.

Area of Science:

  • Statistics
  • Biostatistics
  • Epidemiology

Background:

  • Clustered binary data presents unique analytical challenges.
  • Accurate estimation of intra-cluster correlation and main effects is crucial for understanding health disparities.
  • Existing methods may not be optimal for sparse clustered binary data.

Purpose of the Study:

  • To extend the Mantel-Haenszel estimating function for sparse clustered binary data.
  • To propose and evaluate both composite likelihood and estimating function approaches.
  • To provide reliable statistical tools for analyzing health survey data.

Main Methods:

  • Extension of the Mantel-Haenszel estimating function.
  • Development of a composite likelihood approach.

Related Experiment Videos

  • Development of an estimating function approach.
  • Asymptotic properties including consistency and normality were established.
  • Main Results:

    • Both proposed methods provide consistent and asymptotically normal estimators.
    • The composite likelihood and estimating function approaches are comparable in bias and efficiency.
    • The estimating function approach offers computational simplicity.

    Conclusions:

    • The extended Mantel-Haenszel framework is effective for sparse clustered binary data.
    • The estimating function approach is recommended due to its computational advantages.
    • These methods can be applied to real-world health survey data, such as the Georgia High Blood Pressure survey.