Confidence Intervals for Ratios of Proportions in Stratified Bilateral Correlated Data

Wanqing Tian; Chang-Xing Ma

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arXiv · 2303.13557

Confidence Intervals for Ratios of Proportions in Stratified Bilateral Correlated Data

Wanqing Tian·Chang-Xing Ma

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Abstract

Confidence interval (CI) methods for stratified bilateral studies use intraclass correlation to avoid misleading results. In this article, we propose four CI methods (sample-size weighted global MLE-based Wald-type CI, complete MLE-based Wald-type CI, profile likelihood CI, and complete MLE-based score CI) to investigate CIs of proportion ratios to clinical trial design with stratified bilateral data under Dallal's intraclass model. Monte Carlo simulations are performed, and the complete MLE-based score confidence interval (CS) method yields a robust outcome. Lastly, a real data example is conducted to illustrate the proposed four CIs.

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Wanqing Tian, Chang-Xing Ma. 2023-03-23. Confidence Intervals for Ratios of Proportions in Stratified Bilateral Correlated Data. https://arxiv.org/abs/2303.13557

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