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Related Experiment Videos

Tests of the null hypothesis in case-control studies.

E D Lustbader, S H Moolgavkar, D J Venzon

    Biometrics
    |December 1, 1984
    PubMed
    Summary

    This study compares statistical tests for matched case-control data. The score statistic is stable and reliable, unlike the unstable Wald statistic, making it preferable for analyzing relative odds.

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    Area of Science:

    • Biostatistics
    • Epidemiology
    • Statistical Modeling

    Background:

    • Matched case-control studies are crucial in epidemiology for investigating disease risk factors.
    • Statistical inference in these studies often relies on various hypothesis testing statistics.
    • Understanding the performance of these statistics under different modeling assumptions is essential.

    Purpose of the Study:

    • To empirically evaluate the relative merits of the likelihood ratio statistic, Wald statistic, and score statistic.
    • To assess the performance of these statistics within a mixture model framework for relative-odds functions.
    • To determine the stability and robustness of each statistic concerning the mixture parameter.

    Main Methods:

    • Empirical evaluation using matched case-control data.
    • Application of a mixture model for the relative-odds function.
    • Derivation of an exact expression for score statistic changes upon risk set deletion.
    • Numerical evaluation of an approximation for the score statistic.

    Main Results:

    • The likelihood ratio statistic demonstrated relative constancy across a range of mixture parameter values.
    • The Wald statistic exhibited instability, indicating sensitivity to model assumptions.
    • The score statistic proved independent of the mixture parameter, suggesting robustness.
    • An exact expression for score statistic changes was derived and an approximation numerically evaluated.

    Conclusions:

    • The score statistic is a robust and reliable choice for hypothesis testing in mixture models for matched case-control data.
    • The Wald statistic should be used with caution due to its observed instability.
    • The likelihood ratio statistic offers moderate stability, but the score statistic shows superior performance in this context.

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