title: Confidence interval construction for the difference between two correlated proportions with missing observations.
abstract: Under the assumption of missing at random, eight confidence intervals (CIs) for the difference between two correlated proportions in the presence of incomplete paired binary data are constructed on the basis of the likelihood ratio statistic, the score statistic, the Wald-type statistic, the hybrid method incorporated with the Wilson score and Agresti-Coull (AC) intervals, and the Bootstrap-resampling method. Extensive simulation studies are conducted to evaluate the performance of the presented CIs in terms of coverage probability and expected interval width. Our empirical results evidence that the Wilson-score-based hybrid CI and the Wald-type CI together with the constrained maximum likelihood estimates perform well for small-to-moderate sample sizes in the sense that (i) their empirical coverage probabilities are quite close to the prespecified confidence level, (ii) their expected interval widths are shorter, and (iii) their ratios of the mesial non-coverage to non-coverage probabilities lie in interval [0.4, 0.6]. An example from a neurological study is used to illustrate the proposed methodologies.
authors: a Department of Statistics , Yunnan University , Kunming , P. R. China.
authors: Nian-Sheng
authors: NS
authors: Tang
authors: a Department of Statistics , Yunnan University , Kunming , P. R. China.
authors: Hui-Qiong
authors: HQ
authors: Li
authors: b Department of Mathematics and Statistics , Hang Seng Management College , Shatin , N.T. , Hong Kong.
authors: Man-Lai
authors: ML
authors: Tang
authors: a Department of Statistics , Yunnan University , Kunming , P. R. China.
authors: Jie
authors: J
authors: Li
mesh_terms: D003198:Computer Simulation; D016001:Confidence Intervals; D018592:Cross-Over Studies; D003627:Data Interpretation, Statistical; D006801:Humans; D016555:Matched-Pair Analysis; D008581:Meningitis / Q000150:complications / Q000188:drug therapy; D015233:Models, Statistical; D009010:Monte Carlo Method; D009460:Neurologic Examination / Q000706:statistics & numerical data; D016032:Randomized Controlled Trials as Topic / Q000706:statistics & numerical data*
keywords: Bootstrap confidence interval; correlated proportion difference; missing data; paired binary data; squaring-and-adding confidence interval