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Simultaneous confidence interval construction for many-to-one comparisons of proportion differences based on correlated paired data

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  • Zhengyu Yang
  • Guo-Liang Tian
  • Xiaobin Liu
  • Chang-Xing Ma

Abstract

In some medical researches such as ophthalmological, orthopaedic and otolaryngologic studies, it is often of interest to compare multiple groups with a control using data collected from paired organs of patients. The major difficulty in performing the data analysis is to adjust the multiplicity between the comparison of multiple groups, and the correlation within the same patient's paired organs. In this article, we construct asymptotic simultaneous confidence intervals (SCIs) for many-to-one comparisons of proportion differences adjusting for multiplicity and the correlation. The coverage probabilities and widths of the proposed CIs are evaluated by Monte Carlo simulation studies. The methods are illustrated by a real data example.

Suggested Citation

  • Zhengyu Yang & Guo-Liang Tian & Xiaobin Liu & Chang-Xing Ma, 2021. "Simultaneous confidence interval construction for many-to-one comparisons of proportion differences based on correlated paired data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(8), pages 1442-1456, June.
    • Handle: RePEc:taf:japsta:v:48:y:2021:i:8:p:1442-1456
    DOI: 10.1080/02664763.2020.1795815
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    Cited by:

    1. Wenqing Jiang & Jiangjie Zhou & Baosheng Liang, 2023. "An Improved Dunnett’s Procedure for Comparing Multiple Treatments with a Control in the Presence of Missing Observations," Mathematics, MDPI, vol. 11(14), pages 1-16, July.
    2. 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.

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