On pseudo-values for regression analysis in competing risks models.
For regression on state and transition probabilities in multi-state models Andersen et al. (Biometrika 90:15-27, 2003) propose a technique based on jackknife pseudo-values. In this article we analyze the pseudo-values suggested for competing risks models and prove some conjectures regarding their asymptotics (Klein and Andersen, Biometrics 61:223-229, 2005). The key is a second order von Mises expansion of the Aalen-Johansen estimator which yields an appropriate representation of the pseudo-values. The method is illustrated with data from a clinical study on total joint replacement. In the application we consider for comparison the estimates obtained with the Fine and Gray approach (J Am Stat Assoc 94:496-509, 1999) and also time-dependent solutions of pseudo-value regression equations.
Graw
Frederik
F
Institute of Integrative Biology, ETH Zurich, Zurich, Switzerland. frederik.graw@env.ethz.ch
Gerds
Thomas A
TA
Schumacher
Martin
M
D019643:Arthroplasty, Replacement / Q000706:statistics & numerical data; D001699:Biometry; D006801:Humans; D053208:Kaplan-Meier Estimate; D015233:Models, Statistical; D012044:Regression Analysis; D012306:Risk; D016019:Survival Analysis