Asymptotic confidence interval construction for proportion difference in medical studies with bilateral data

Nian Sheng Tang, Shi Fang Qiu, Man Lai Tang, Yanbo Pei

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Bilateral dichotomous data are very common in modern medical comparative studies (e.g. comparison of two treatments in ophthalmologic, orthopaedic and otolaryngologic studies) in which information involving paired organs (e.g. eyes, ears and hips) is available from each subject. In this article, we study various confidence interval estimators for proportion difference based on Wald-type statistics, Fieller theorem, likelihood ratio statistic, score statistics and bootstrap resampling method under the dependence or/and independence models for bilateral binary data. Performance is evaluated with respect to the coverage probability and expected width via simulation studies. Our empirical results show that (1) ignoring the dependence feature of bilateral data could lead to severely incorrect coverage probabilities; and (2) Wald-type, score-type and bootstrap confidence intervals based on the dependence model perform satisfactorily for small to large sample sizes in the sense that their empirical coverage probabilities are close to the pre-specified nominal confidence level and are hence recommended. A real data from an otolaryngologic study is used to illustrate the proposed methods.

Original languageEnglish (US)
Pages (from-to)233-259
Number of pages27
JournalStatistical Methods in Medical Research
Volume20
Issue number3
DOIs
StatePublished - Jun 1 2011

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Coverage Probability
Confidence interval
Proportion
Confidence Intervals
Fieller's Theorem
Bootstrap Confidence Intervals
Score Statistic
Resampling Methods
Likelihood Ratio Statistic
Binary Data
Bootstrap Method
Confidence Level
Sample Size
Comparative Study
Orthopedics
Categorical or nominal
Ear
Hip
Simulation Study
Statistics

All Science Journal Classification (ASJC) codes

  • Epidemiology
  • Health Information Management
  • Statistics and Probability

Cite this

Tang, Nian Sheng ; Qiu, Shi Fang ; Tang, Man Lai ; Pei, Yanbo. / Asymptotic confidence interval construction for proportion difference in medical studies with bilateral data. In: Statistical Methods in Medical Research. 2011 ; Vol. 20, No. 3. pp. 233-259.
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Asymptotic confidence interval construction for proportion difference in medical studies with bilateral data. / Tang, Nian Sheng; Qiu, Shi Fang; Tang, Man Lai; Pei, Yanbo.

In: Statistical Methods in Medical Research, Vol. 20, No. 3, 01.06.2011, p. 233-259.

Research output: Contribution to journalArticle

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