Goodness of fit tests for estimating equations based on pseudo-observations

Lifetime Data Anal. 2019 Apr;25(2):189-205. doi: 10.1007/s10985-018-9427-6. Epub 2018 Feb 27.

Abstract

We study regression models for mean value parameters in survival analysis based on pseudo-observations. Such parameters include the survival probability and the cumulative incidence in a single point as well as the restricted mean life time and the cause-specific number of years lost. Goodness of fit techniques for such models based on cumulative sums of pseudo-residuals are derived including asymptotic results and Monte Carlo simulations. Practical examples from liver cirrhosis and bone marrow transplantation are also provided.

Keywords: Cumulative incidence function; Goodness-of-fit; Pseudo-observations; Restricted mean life time; Survival probability; Years lost.

Publication types

  • Review

MeSH terms

  • Computer Simulation*
  • Humans
  • Models, Statistical*
  • Monte Carlo Method
  • Observation*
  • Proportional Hazards Models
  • Regression Analysis
  • Sensitivity and Specificity
  • Survival Analysis*