Reduced rank proportional hazards model for competing risks

Biostatistics
M FioccoJ C Van Houwelingen

Abstract

Competing events concerning individual subjects are of interest in many medical studies. For example, leukemia-free patients surviving a bone marrow transplant are at risk of developing acute or chronic graft-versus-host disease, or they might develop infections. In this situation, competing risks models provide a natural framework to describe the disease. When incorporating covariates influencing the transition intensities, an obvious approach is to use Cox's proportional hazards model for each of the transitions separately. A practical problem then is how to deal with the abundance of regression parameters. Our objective is to describe the competing risks model in fewer parameters, both in order to avoid imprecise estimation in transitions with rare events and in order to facilitate interpretation of these estimates. Suppose that the regression parameters are gathered into a p x K matrix B, with p and K as the number of covariates and transitions, respectively. We propose the use of reduced rank models, where B is required to be of lower rank R, smaller than both p and K. One way to achieve this is to write B = AGamma(intercal) with A and Gamma matrices of dimensions p x R and K x R, respectively. We shall outline an algorith...Continue Reading

References

Jun 4, 2002·Statistical Methods in Medical Research·Per K AndersenSusanne Rosthøj

Citations

Mar 17, 2010·Computer Methods and Programs in Biomedicine·Liesbeth C de WreedeHein Putter
Jul 19, 2006·Biometrical Journal. Biometrische Zeitschrift·Hein PutterCornelis J H van de Velde
Apr 22, 2008·Statistics in Medicine·M FioccoHans C van Houwelingen
Oct 13, 2006·Statistics in Medicine·Hein PutterR B Geskus
Feb 19, 2010·Biometrical Journal. Biometrische Zeitschrift·Hein PutterTheo Stijnen
Jan 26, 2010·Statistics in Medicine·M A NicolaieH Putter
Dec 6, 2012·Virchows Archiv : an International Journal of Pathology·Jakob K AnningaPancras C W Hogendoorn
Apr 24, 2013·Bone & Joint Research·J C KeurentjesR G H H Nelissen

Related Concepts

Biometry
Clinical Trials
Graft-vs-Host Disease
Communicable Diseases
Leukemia
Cox Proportional Hazards Models
Survival Analysis
Bone Marrow Cell Transplantation
Hemopoietic Stem Cell Transplant

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