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Testing the Homogeneity of Differences between Two Proportions for Stratified Bilateral and Unilateral Data across Strata

Author

Listed:
  • Xueqing Zhang

    (Department of Biostatistics, The State University of New York at Buffalo, Buffalo, NY 14260, USA)

  • Changxing Ma

    (Department of Biostatistics, The State University of New York at Buffalo, Buffalo, NY 14260, USA)

Abstract

Medical comparative studies often involve collecting data from paired organs, which can produce either bilateral or unilateral data. While many testing procedures are available that account for the intra-class correlation between paired organs for bilateral data, more research needs to be conducted to determine how to analyze combined correlated bilateral and unilateral data. In practice, stratification is often used in analysis to ensure participants are allocated equally to each experimental condition. In this paper, we propose three Maximum Likelihood Estimation (MLE)-based methods for testing the homogeneity of differences between two proportions for stratified bilateral and unilateral data across strata using Donner’s model. We compare the performance of these methods with a model-based method based on Generalized Estimating Equations using Monte Carlo simulations. We also provide a real example to illustrate the proposed methodologies. Our findings suggest that the Score test performs well and offers a valuable alternative to the exact tests in future studies.

Suggested Citation

  • Xueqing Zhang & Changxing Ma, 2023. "Testing the Homogeneity of Differences between Two Proportions for Stratified Bilateral and Unilateral Data across Strata," Mathematics, MDPI, vol. 11(19), pages 1-17, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4156-:d:1252987
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    References listed on IDEAS

    as
    1. Jun-mo Nam, 2003. "Homogeneity Score Test for the Intraclass Version of the Kappa Statistics and Sample-Size Determination in Multiple or Stratified Studies," Biometrics, The International Biometric Society, vol. 59(4), pages 1027-1035, December.
    2. Tang, Nian-Sheng & Tang, Man-Lai & Qiu, Shi-Fang, 2008. "Testing the equality of proportions for correlated otolaryngologic data," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3719-3729, March.
    Full references (including those not matched with items on IDEAS)

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