Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomized clinical trials

Yanbo Pei, Guo Liang Tian, Man Lai Tang

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Stratified data analysis is an important research topic in many biomedical studies and clinical trials. In this article, we develop five test statistics for testing the homogeneity of proportion ratios for stratified correlated bilateral binary data based on an equal correlation model assumption. Bootstrap procedures based on these test statistics are also considered. To evaluate the performance of these statistics and procedures, we conduct Monte Carlo simulations to study their empirical sizes and powers under various scenarios. Our results suggest that the procedure based on score statistic performs well generally and is highly recommended. When the sample size is large, procedures based on the commonly used weighted least square estimate and logarithmic transformation with Mantel-Haenszel estimate are recommended as they do not involve any computation of maximum likelihood estimates requiring iterative algorithms. We also derive approximate sample size formulas based on the recommended test procedures. Finally, we apply the proposed methods to analyze a multi-center randomized clinical trial for scleroderma patients.

Original languageEnglish (US)
Pages (from-to)4370-4386
Number of pages17
JournalStatistics in Medicine
Volume33
Issue number25
DOIs
StatePublished - Jan 1 2014

Fingerprint

Randomized Clinical Trial
Homogeneity
Proportion
Randomized Controlled Trials
Testing
Test Statistic
Sample Size
Scleroderma
Score Statistic
Weighted Estimates
Least Squares Estimate
Binary Data
Weighted Least Squares
Likelihood Functions
Maximum Likelihood Estimate
Clinical Trials
Bootstrap
Empirical Study
Iterative Algorithm
Least-Squares Analysis

All Science Journal Classification (ASJC) codes

  • Epidemiology
  • Statistics and Probability

Cite this

Pei, Yanbo ; Tian, Guo Liang ; Tang, Man Lai. / Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomized clinical trials. In: Statistics in Medicine. 2014 ; Vol. 33, No. 25. pp. 4370-4386.
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Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomized clinical trials. / Pei, Yanbo; Tian, Guo Liang; Tang, Man Lai.

In: Statistics in Medicine, Vol. 33, No. 25, 01.01.2014, p. 4370-4386.

Research output: Contribution to journalArticle

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