Department of Probability and Statistics, School of Mathematical Sciences, Peking University, Beijing, China.
Department of Epidemiology and Biostatistics, School of Public Health, Central South University, Changsha, Hunan, China.
Stat Med. 2018 Sep 30;37(22):3230-3243. doi: 10.1002/sim.7812. Epub 2018 May 23.
Individualized coefficient alpha is defined. It is item and subject specific and is used to measure the quality of test score data with heterogenicity among the subjects and items. A regression model is developed based on 3 sets of generalized estimating equations. The first set of generalized estimating equation models the expectation of the responses, the second set models the response's variance, and the third set is proposed to estimate the individualized coefficient alpha, defined and used to measure individualized internal consistency of the responses. We also use different techniques to extend our method to handle missing data. Asymptotic property of the estimators is discussed, based on which inference on the coefficient alpha is derived. Performance of our method is evaluated through simulation study and real data analysis. The real data application is from a health literacy study in Hunan province of China.
定义了个性化系数 alpha。它是项目和主体特定的，用于测量具有主体和项目之间异质性的测试分数数据的质量。基于 3 组广义估计方程开发了一个回归模型。第一组广义估计方程模型化了响应的期望，第二组模型化了响应的方差，第三组是为了估计个性化系数 alpha 而提出的，用于衡量响应的个性化内部一致性。我们还使用不同的技术来扩展我们的方法以处理缺失数据。基于该估计量的渐近性质，推导出了关于系数 alpha 的推断。通过模拟研究和实际数据分析评估了我们方法的性能。实际数据应用来自中国湖南省的健康素养研究。
