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Tests for homogeneity of risk differences in stratified design with correlated bilateral data

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  • Shi-Fang Qiu
  • Li-Xuan Guo
  • G. Y. Zou
  • Dan Yu

Abstract

Correlated bilateral data arise from stratified studies involving paired body organs in a subject. When it is desirable to conduct inference on the scale of risk difference, one needs first to assess the assumption of homogeneity in risk differences across strata. For testing homogeneity of risk differences, we herein propose eight methods derived respectively from weighted-least-squares (WLS), the Mantel-Haenszel (MH) estimator, the WLS method in combination with inverse hyperbolic tangent transformation, and the test statistics based on their log-transformation, the modified Score test statistic and Likelihood ratio test statistic. Simulation results showed that four of the tests perform well in general, with the tests based on the WLS method and inverse hyperbolic tangent transformation always performing satisfactorily even under small sample size designs. The methods are illustrated with a dataset.

Suggested Citation

  • Shi-Fang Qiu & Li-Xuan Guo & G. Y. Zou & Dan Yu, 2019. "Tests for homogeneity of risk differences in stratified design with correlated bilateral data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(14), pages 2491-2513, October.
    • Handle: RePEc:taf:japsta:v:46:y:2019:i:14:p:2491-2513
    DOI: 10.1080/02664763.2019.1601162
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    Cited by:

    1. Shuyi Liang & Kai-Tai Fang & Xin-Wei Huang & Yijing Xin & Chang-Xing Ma, 2024. "Homogeneity tests and interval estimations of risk differences for stratified bilateral and unilateral correlated data," Statistical Papers, Springer, vol. 65(6), pages 3499-3543, August.
    2. Zhiming Li & Changxing Ma & Keyi Mou, 2023. "Testing the common risk difference of proportions for stratified uni‐ and bilateral correlated data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(3), pages 340-364, August.

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