A modified partial likelihood score method for Cox regression with covariate error under the internal validation design

Biometrics. 2019 Jun;75(2):414-427. doi: 10.1111/biom.13012. Epub 2019 Apr 13.

Abstract

We develop a new method for covariate error correction in the Cox survival regression model, given a modest sample of internal validation data. Unlike most previous methods for this setting, our method can handle covariate error of arbitrary form. Asymptotic properties of the estimator are derived. In a simulation study, the method was found to perform very well in terms of bias reduction and confidence interval coverage. The method is applied to data from the Health Professionals Follow-Up Study (HPFS) on the effect of diet on incidence of Type II diabetes.

Keywords: Cox model; measurement error; modified score.

MeSH terms

  • Bias
  • Computer Simulation
  • Confidence Intervals
  • Diabetes Mellitus, Type 2 / epidemiology
  • Diabetes Mellitus, Type 2 / etiology
  • Diet
  • Humans
  • Incidence
  • Likelihood Functions*
  • Proportional Hazards Models*
  • Regression Analysis*
  • Reproducibility of Results
  • Research Design / statistics & numerical data*