Regression models using parametric pseudo-observations

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  • Martin Nygård Johansen, Aalborg Universitet
  • ,
  • Søren Lundbye-Christensen, Aalborg Universitet
  • ,
  • Erik Thorlund Parner

Pseudo-observations based on the nonparametric Kaplan-Meier estimator of the survival function have been proposed as an alternative to the widely used Cox model for analyzing censored time-to-event data. Using a spline-based estimator of the survival has some potential benefits over the nonparametric approach in terms of less variability. We propose to define pseudo-observations based on a flexible parametric estimator and use these for analysis in regression models to estimate parameters related to the cumulative risk. We report the results of a simulation study that compares the empirical standard errors of estimates based on parametric and nonparametric pseudo-observations in various settings. Our simulations show that in some situations there is a substantial gain in terms of reduced variability using the proposed parametric pseudo-observations compared with the nonparametric pseudo-observations. The gain can be measured as a reduction of the empirical standard error by up to about one third; corresponding to an additional 125% larger sample size. We illustrate the use of the proposed method in a brief data example.

TidsskriftStatistics in Medicine
Sider (fra-til)2949-2961
Antal sider13
StatusUdgivet - 2020

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