Omnibus Tests for Comparison of Competing Risks
with Adjustment for Covariate Effects

McKeague, I. W., Gilbert, P. B. and Kanki, P. 

Summary:

This paper develops omnibus tests
for comparing cause-specific hazard rates and cumulative
incidence functions at specified covariate levels.
Confidence bands for the difference and the
ratio of two conditional cumulative
incidence functions are also constructed.
The omnibus test is formulated in terms of a test process 
given by a weighted difference of estimates of cumulative 
cause-specific hazard rates under Cox proportional 
hazards models.  A simulation procedure is
devised for sampling from the null distribution
of the test process, leading to graphical and numerical
techniques for detecting significant differences
in the risks.  The approach is applied to a cohort study of type-specific
HIV infection rates.