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Related Experiment Videos

Maximum likelihood regression methods for paired binary data.

S R Lipsitz1, N M Laird, D P Harrington

  • 1Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115.

Statistics in Medicine
|December 1, 1990
PubMed
Summary
This summary is machine-generated.

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This study introduces maximum likelihood methods for analyzing binary outcomes in repeated measures, like cross-over designs. Findings suggest logistic regression models for marginal probabilities are robust to different association measures, simplifying interpretation.

Area of Science:

  • Biostatistics
  • Statistical Modeling
  • Longitudinal Data Analysis

Background:

  • Analyzing binary responses measured repeatedly is crucial in various fields, including clinical trials and longitudinal studies.
  • Cross-over designs are common for such data, requiring appropriate statistical methods to handle correlated binary outcomes.
  • Understanding the association between responses at different time points is key for accurate inference.

Purpose of the Study:

  • To present maximum likelihood methods for analyzing binary responses measured at two time points.
  • To explore the impact of different association parameters on the estimation of marginal probabilities.
  • To provide guidance on selecting appropriate measures of association for binary longitudinal data.

Main Methods:

Related Experiment Videos

  • Construction of a 2x2 table for each individual, with cell probabilities based on cross-classified responses.
  • Utilizing a multinomial likelihood model with a three-dimensional parameter space.
  • Employing logistic regression models for marginal probabilities and considering correlation, odds ratio, and relative risk as association parameters.
  • Main Results:

    • Parameter estimates from the logistic regression model for marginal probabilities demonstrated robustness.
    • These estimates showed minimal sensitivity to the specific measure of association used (correlation, odds ratio, relative risk).
    • Simulations confirmed the stability of the marginal probability estimates.

    Conclusions:

    • Maximum likelihood methods provide a robust framework for analyzing binary responses in repeated measures.
    • The choice of association measure has limited impact on the estimation of marginal probabilities in logistic regression models.
    • Selecting an association measure based on interpretability is recommended for practical applications.