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Updated: Jun 22, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Model checks for Cox-type regression models based on optimally weighted martingale residuals
1Department of Mathematics, Imperial College London, London, UK. a.gandy@imperial.ac.uk
Abstract:
We introduce directed goodness-of-fit tests for Cox-type regression models in survival analysis. "Directed" means that one may choose against which alternatives the tests are particularly powerful. The tests are based on sums of weighted martingale residuals and their asymptotic distributions.We derive optimal tests against certain competing models which include Cox-type regression models with different covariates and/or a different link function. We report results from several simulation studies and apply our test to a real dataset.
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