The mixture cure rate model is the most commonly used cure rate model in the literature. In the context of mixture cure rate model, the standard approach to model the effect of covariates on the cured or uncured probability is to use a logistic function. This readily implies that the boundary classifying the cured and uncured subjects is linear. In this paper, we propose a new mixture cure rate model based on interval censored data that uses the support vector machine (SVM) to model the effect of covariates on the uncured or the cured probability (i.e., on the incidence part of the model). Our proposed model inherits the features of the SVM and provides flexibility to capture classification boundaries that are non-linear and more complex. Furthermore, the new model can be used to model the effect of covariates on the incidence part when the dimension of covariates is high. The latency part is modeled by a proportional hazards structure. We develop an estimation procedure based on the expectation maximization (EM) algorithm to estimate the cured/uncured probability and the latency model parameters. Our simulation study results show that the proposed model performs better in capturing complex classification boundaries when compared to the existing logistic regression based mixture cure rate model. We also show that our model's ability to capture complex classification boundaries improve the estimation results corresponding to the latency parameters. For illustrative purpose, we present our analysis by applying the proposed methodology to an interval censored data on smoking cessation.
翻译:混合物治愈率模型是文献中最常用的治愈率模型。在混合物治愈率模型中,我们提议的模型模型模型对治愈或未确诊概率的影响进行模型化的标准方法是使用后勤功能。这很容易意味着对治愈和未确诊对象进行分类的界线是线性。在本文中,我们提议一个新的混合治愈率模型,以间隔审查数据为基础,使用支持矢量机(SVM)来模拟共诊率对未治愈或治愈概率(即模型的发生率部分)的影响。我们提议的模型继承了SVM的特征,提供了获取非线性、更复杂的分类界限的灵活性。此外,新的模型可以用来模拟复诊率对复诊者部分的影响。延时部分使用比例危害结构作为模型的模型。我们根据预期最大化算法(EM)来估计治愈/不确诊概率和悬浮度模型参数。我们关于SVM的模拟模型研究的结果还表明,在比较当前混合物分析的模型时,我们采用比较的精确性分析能力,以更好地测量了目前分类方法。我们提议的模型显示,我们目前的精确测算方法显示,在比较了目前测算中,我们测算后,我们测测测测测算的模型的模型显示了目前测算结果的精确测算结果,我们测测测测算了目前测测算结果,以测测算了现有的的模型显示了目前测算结果。