Regression models using parametric pseudo-observations

Martin Nygård Johansen*, Søren Lundbye-Christensen, Erik Thorlund Parner

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
JournalStatistics in Medicine
Volume39
Issue number22
Pages (from-to)2949-2961
Number of pages13
ISSN0277-6715
DOIs
Publication statusPublished - 30 Sept 2020

Keywords

  • flexible parametric models
  • pseudo-observations
  • time-to-event

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