论文标题
具有表面链接的单索引模型，用于优化个性化剂量规则
A single-index model with a surface-link for optimizing individualized dose rules
论文作者
论文摘要
本文着重于使用单索引回归方法对协变量和持续的治疗变量之间的相互作用效应的问题。主要动机是在观察性研究中估计最佳的个性化剂量规则。为了模拟患者协变量与连续治疗变量之间的非线性相互作用效应，我们在指数处理域上采用二维惩罚样条回归，在该结构域中，该指数定义为协变量的线性投影。使用两个应用程序以及仿真实验说明了该方法。这项工作的一个独特贡献是在相互作用效应项专门定义的简约（单索引）参数化中。
This paper focuses on the problem of modeling and estimating interaction effects between covariates and a continuous treatment variable on an outcome, using a single-index regression approach. The primary motivation is to estimate an optimal individualized dose rule in an observational study. To model possibly nonlinear interaction effects between patients' covariates and a continuous treatment variable, we employ a two-dimensional penalized spline regression on an index-treatment domain, where the index is defined as a linear projection of the covariates. The method is illustrated using two applications as well as simulation experiments. A unique contribution of this work is in the parsimonious (single-index) parametrization specifically defined for the interaction effect term.
