Department of Statistics, University of Missouri, Columbia, Missouri, USA.
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China.
Stat Med. 2021 Dec 30;40(30):6918-6930. doi: 10.1002/sim.9218. Epub 2021 Oct 11.
This article discusses regression analysis of clustered interval-censored failure time data in the presence of a cured fraction or subgroup. Such data often occur in many areas, including epidemiological studies, medical studies, and social sciences. For the problem, a class of semiparametric transformation nonmixture cure models is presented and for estimation, the maximum likelihood estimation procedure is derived. For the implementation of the proposed method, we develop a novel EM algorithm based on a Poisson variable-based augmentation. An extensive simulation study is conducted and suggests that the proposed approach works well in practical situations. Finally the method is applied to an example that motivated this study.
本文讨论了在存在治愈部分或亚组的情况下，聚类区间删失失效时间数据的回归分析。此类数据通常出现在许多领域，包括流行病学研究、医学研究和社会科学。针对该问题，提出了一类半参数变换非混合治愈模型，并推导了最大似然估计程序。为了实现所提出的方法，我们开发了一种基于泊松变量增强的新的 EM 算法。进行了广泛的模拟研究，结果表明该方法在实际情况下效果良好。最后，将该方法应用于激发这项研究的一个实例。
