A note on generating correlated matched-pair binary data through conditional linear family. Issue 16 (18th August 2017)

• Record Type: Journal Article
• Authors: Zhou, Ming; Yang, Zhao
• Is Part Of: Communications in statistics. Volume 46:Issue 16(2017)
• Page Start: 8059
• Page End: 8068
• Publication Date: 2017-08-18
• Subjects: Conditional linear family -- correlated matched-pair binary data -- exchangeable -- physician–patients; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1171357
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Generating correlated binary data with specified marginal probabilities and correlation structure is often needed and useful in simulation studies to investigate the finite sample performance of statistical methods. Conditional linear family provides a powerful and flexible tool to generate correlated matched-pair binary data including the physician–patients and clustered match-pair data. To ensure the validity of the data generation process, constraints for parameters of the conditional linear family are needed. For the correlated matched-pair binary data with an exchangeable-type correlation structure, we derive the explicit expressions to check these constraints and it provides an efficient and convenient computational tool in validating the data generation process. The results are applied to check the constraints for two typical correlated matched-pair binary data.