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Modelling associations between time‐to‐event responses in pilot cancer clinical trials using a Plackett–Dale model
Author(s) -
Tibaldi Fabián,
Barbosa Franz Torres,
Molenberghs Geert
Publication year - 2004
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.1820
Subject(s) - multivariate statistics , statistics , event (particle physics) , lung cancer , event data , clinical trial , odds ratio , medicine , surrogate endpoint , econometrics , computer science , oncology , mathematics , covariate , physics , quantum mechanics
This work was motivated by the need to find surrogate endpoints for survival of patients in oncology studies. The goal of this article is to determine associations between five time‐to‐event outcomes coming from three clinical trials for non‐small cell lung cancer. To this end, we propose to use the multivariate Dale model for time‐to‐event data introduced by Tibaldi et al . ( Stat. Med . 2003). We fit the model to these data, using a pseudo‐likelihood approach to estimate the model parameters. We evaluate and compare the performance of different dimensional models and we relate the Dale model association parameter, i.e. the odds ratio, to well‐known quantities such as Kendall's τ and Spearman's ρ. Finally, the results are discussed with a perspective on surrogate marker validation. Some suggestions are made regarding further studies in this field. Copyright © 2004 John Wiley & Sons, Ltd.