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Related Experiment Videos

Small-sample adjustments for Wald-type tests using sandwich estimators.

M P Fay1, B I Graubard

  • 1National Cancer Institute, Bethesda, Maryland 20892-8317, USA. faym@mail.nih.gov

Biometrics
|January 5, 2002
PubMed
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Robust Wald-type tests using sandwich estimators can inflate Type I error rates with few data terms. Practical modifications are proposed to improve test accuracy in statistical analyses, especially for generalized estimating equations.

Area of Science:

  • Biostatistics
  • Statistical Inference
  • Robust Statistics

Background:

  • Sandwich estimators of variance are used for robust Wald-type tests in statistical modeling.
  • These tests are derived from estimating equations that are sums of independent or approximately independent terms.
  • Potential inflation of Type I error rates (greater than nominal size) can occur when the number of terms (K) is small.

Purpose of the Study:

  • To propose practical modifications to robust Wald-type tests.
  • To address the issue of inflated Type I error rates in specific statistical scenarios.
  • To evaluate the performance of these modifications in various regression models.

Main Methods:

  • Development of modified robust Wald-type tests.
  • Asymptotic analysis to show modifications approach usual robust tests.

Related Experiment Videos

  • Simulation studies to examine test performance under different models.
  • Main Results:

    • Proposed modifications offer improved Type I error control compared to standard robust Wald-type tests.
    • One modification demonstrated exact coverage in a simple statistical case.
    • Simulations confirmed the effectiveness of modifications across generalized estimating equations, conditional logistic regression, and Cox proportional hazard models.

    Conclusions:

    • The proposed modifications enhance the reliability of robust Wald-type tests, particularly when dealing with a limited number of terms in estimating equations.
    • These adjustments are valuable for accurate statistical inference in complex data structures like repeated measures.
    • The findings support the use of modified tests for improved statistical analysis in biostatistics and related fields.