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Related Experiment Videos

Robustness of the latent variable model for correlated binary data.

M Tan1, Y Qu, J S Rao

  • 1Department of Biostatistics and Epidemiology, St. Jude Children's Research Hospital, Memphis, Tennessee 38105, USA. ming.tan@stjude.org

Biometrics
|April 25, 2001
PubMed
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Marginal regression models for binary data are robust. Parameter estimates remain reliable even with different latent distributions, including skewed ones, enhancing their applicability in statistical analysis.

Area of Science:

  • Statistics
  • Biostatistics

Background:

  • Conditional approaches directly model binary data.
  • Parametric marginal regression models assume an underlying multivariate normal vector for correlated binary outcomes.
  • Existing models offer flexibility in correlation structures but raise questions about robustness to latent distribution choices.

Purpose of the Study:

  • To assess the robustness of parameter estimates in marginal regression models for correlated binary data with respect to the choice of latent distribution.
  • To extend latent modeling to include multivariate t-distributed latent vectors.
  • To investigate the robustness of parameter estimates when the latent distribution is skewed.

Main Methods:

  • Extended latent marginal regression modeling to incorporate multivariate t-distributed latent vectors.

Related Experiment Videos

  • Conducted simulation studies to evaluate parameter estimate robustness.
  • Utilized an iterative algorithm to demonstrate robustness concerning covariance structure misspecifications.
  • Main Results:

    • Parameter estimates demonstrated robustness with respect to the latent distribution, even when skewed.
    • The study provides empirical evidence of robustness across different latent distributions.
    • Robustness of regression coefficients to covariance misspecifications implies robustness to latent vector distributional assumptions.

    Conclusions:

    • Marginal regression models exhibit robustness in parameter estimates concerning the latent distribution.
    • The findings support the reliability of these models even with misspecified latent distributions.
    • This robustness extends to the underlying distributional assumptions of the latent vector.