Vertical modeling: a pattern mixture approach for competing risks modeling

Statistics in Medicine
M A NicolaieH Putter

Abstract

We study an alternative approach for estimation in the competing risks framework, called vertical modeling. It is motivated by a decomposition of the joint distribution of time and cause of failure. The two elements of this decomposition are (1) the time of failure and (2) the cause of failure condition on time of failure. Both elements of the model are based on observable quantities, namely the total hazard and the relative cause-specific hazards. The model can be implemented using the standard software. The relative cause-specific hazards are flexibly estimated using multinomial logistic regression and smoothing splines. We show estimates of cumulative incidences from vertical modeling to be more efficient statistically than those obtained from the standard nonparametric model. We illustrate our methods using data of 8966 leukemia patients from the European Group for Blood and Marrow Transplantation.

References

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Sep 10, 2005·Bone Marrow Transplantation·A GratwohlUNKNOWN Infectious Diseases Working Party of the European Group for Blood and Marrow Transplantation
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Citations

Sep 27, 2012·Lifetime Data Analysis·Bernhard HallerKurt Ulm
Jun 7, 2011·BMC Medical Research Methodology·Arthur AllignolJan Beyersmann
Feb 7, 2013·BMC Medical Research Methodology·Sally R Hinchliffe, Paul C Lambert
Dec 18, 2013·Statistics in Medicine·Harold M HudsonStephane Heritier
Feb 3, 2015·Statistics in Medicine·Bart Van RompayeEls Goetghebeur
Nov 15, 2011·Statistics in Medicine·Per Kragh Andersen, Niels Keiding
Jul 20, 2019·Medical Decision Making : an International Journal of the Society for Medical Decision Making·Tristan Snowsill
Feb 2, 2018·Lifetime Data Analysis·Mioara Alina NicolaieCatherine Legrand
Mar 5, 2020·Biometrical Journal. Biometrische Zeitschrift·Hein PutterHans C van Houwelingen
Nov 6, 2018·Current Epidemiology Reports·Bryan Lau, Catherine Lesko
May 24, 2020·European Journal of Epidemiology·Nan van GelovenSaskia le Cessie
Dec 20, 2011·Statistical Methods in Medical Research·M A NicolaieH Putter
Jul 16, 2015·Medical Decision Making : an International Journal of the Society for Medical Decision Making·Qi CaoDouwe Postmus

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