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

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.

Keywords:

• Bilateral data
• profile likelihood method
• score method
• simultaneous confidence interval
• Wald method

2010 Mathematics Subject Classification:

• 62F99

Disclosure statement

No potential conflict of interest was reported by the author(s).