Approximate confidence intervals for the difference in proportions for partially observed binary data

• Published in: Statistical methods in medical research Vol. 31; no. 3; p. 488
• Main Authors: Das, Ujjwal, Basu, Ranojoy
• Format: Journal Article
• Language: English
• Published: England 01.03.2022
• Subjects: Computer Simulation; Confidence Intervals; Humans; Models, Statistical; Research Design; Sample Size; difference of proportion; missing at random; Paired binary data; EM algorithm; interval estimator; incomplete data
• ISSN: 1477-0334
• DOI: 10.1177/09622802211060528

We consider partially observed binary matched-pair data. We assume that the incomplete subjects are missing at random. Within this missing framework, we propose an EM-algorithm based approach to construct an interval estimator of the proportion difference incorporating all the subjects. In conjunction with our proposed method, we also present two improvements to the interval estimator through some correction factors. The performances of the three competing methods are then evaluated through extensive simulation. Recommendation for the method is given based on the ability to preserve type-I error for various sample sizes. Finally, the methods are illustrated in two real-world data sets. An -function is developed to implement the three proposed methods.