Inference and sample size calculation for clinical trials with incomplete observations of paired binary outcomes

作者: Song Zhang , Jing Cao , Chul Ahn

DOI: 10.1002/SIM.7168

关键词: MathematicsEconometricsEstimatorCorrelationInferenceClinical trialType I and type II errorsDistribution (mathematics)Sample size determinationBinary numberStatistics

摘要: We investigate the estimation of intervention effect and sample size determination for experiments where subjects are supposed to contribute paired binary outcomes with some incomplete observations. propose a hybrid estimator appropriately account mixed nature observed data: from those who complete pairs observations unpaired either pre-intervention or post-intervention outcomes. theoretically prove that if data evenly distributed between periods, proposed will always be more efficient than traditional estimator. A numerical research shows when distribution is unbalanced, superior there moderate-to-strong positive within-subject correlation. further derive closed-form formula help researchers determine how many need enrolled in such studies. Simulation results suggest calculated maintains empirical power type I error under various design configurations. demonstrate method using real application example. Copyright © 2016 John Wiley & Sons, Ltd.

参考文章(15)
Robert J. Connor, Sample Size for Testing Differences in Proportions for the Paired-Sample Design Biometrics. ,vol. 43, pp. 207- 211 ,(1987) , 10.2307/2531961
J. Evans, J. Heron, H. Francomb, S. Oke, J. Golding, Cohort study of depressed mood during pregnancy and after childbirth BMJ. ,vol. 323, pp. 257- 260 ,(2001) , 10.1136/BMJ.323.7307.257
Man-Lai Tang, Nian-Sheng Tang, Exact Tests for Comparing Two Paired Proportions with Incomplete Data Biometrical Journal. ,vol. 46, pp. 72- 82 ,(2004) , 10.1002/BIMJ.200210003
Hui-Qiong Li, Ivan S. F. Chan, Man-Lai Tang, Guo-Liang Tian, Nian-Sheng Tang, Confidence-interval construction for rate ratio in matched-pair studies with incomplete data. Journal of Biopharmaceutical Statistics. ,vol. 24, pp. 546- 568 ,(2014) , 10.1080/10543406.2014.888438
Frederico Z. Poleto, Julio M. Singer, Carlos Daniel Paulino, Comparing diagnostic tests with missing data Journal of Applied Statistics. ,vol. 38, pp. 1207- 1222 ,(2011) , 10.1080/02664763.2010.491860
Nian-Sheng Tang, Hui-Qiong Li, Man-Lai Tang, Jie Li, Confidence interval construction for the difference between two correlated proportions with missing observations Journal of Biopharmaceutical Statistics. ,vol. 26, pp. 323- 338 ,(2016) , 10.1080/10543406.2014.1000544
P. C. Thomson, A hybrid paired and unpaired analysis for the comparison of proportions. Statistics in Medicine. ,vol. 14, pp. 1463- 1470 ,(1995) , 10.1002/SIM.4780141306
N. Rao Chaganty, Harry Joe, Range of correlation matrices for dependent Bernoulli random variables Biometrika. ,vol. 93, pp. 197- 206 ,(2006) , 10.1093/BIOMET/93.1.197
S. C. Choi, D. M. Stablein, Comparing incomplete paired binomial data under non-random mechanisms. Statistics in Medicine. ,vol. 7, pp. 929- 939 ,(1988) , 10.1002/SIM.4780070904