A Single-Index Model With a Surface-Link for Optimizing Individualized Dose Rules

  title={A Single-Index Model With a Surface-Link for Optimizing Individualized Dose Rules},
  author={Hyung Park and Eva Petkova and Thaddeus Tarpey and Robert Todd Ogden},
  journal={arXiv: Methodology},
This paper focuses on the problem of modeling and estimating interaction effects between covariates and a continuous treatment variable on an outcome, using a simple and intuitive 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… Expand

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