On pseudo-values for regression analysis in competing risks models

被引:91
作者
Graw, Frederik [1 ,2 ]
Gerds, Thomas A. [3 ]
Schumacher, Martin [2 ]
机构
[1] ETH, Inst Integrat Biol, CH-8092 Zurich, Switzerland
[2] Univ Med Ctr Freiburg, Inst Med Biometry & Med Informat, D-79104 Freiburg, Germany
[3] Univ Copenhagen, Dept Biostat, DK-1014 Copenhagen, Denmark
关键词
Competing risks; Generalized estimating equation; Jackknife pseudo-values; Regression models; Survival analysis; Von Mises expansion; GENERALIZED LINEAR-MODELS; MULTISTATE MODELS; PROBABILITY;
D O I
10.1007/s10985-008-9107-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:241 / 255
页数:15
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