## The Annals of Statistics

### A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk

Robert J. Gray

#### Abstract

In this paper, for right censored competing risks data, a class of tests developed for comparing the cumulative incidence of a particular type of failure among different groups. The tests are based on comparing weighted averages of the hazards of the subdistribution for the failure type of interest. Asymptotic results are derived by expressing the statistics in terms of counting processes and using martingale central limit theory. It is proposed that weight functions very similar to those for the $G^p$ tests from ordinary survival analysis be used. Simulation results indicate that the asymptotic distributions provide adequate approximations in moderate sized samples.

#### Article information

Source
Ann. Statist. Volume 16, Number 3 (1988), 1141-1154.

Dates
First available in Project Euclid: 12 April 2007

http://projecteuclid.org/euclid.aos/1176350951

Digital Object Identifier
doi:10.1214/aos/1176350951

Mathematical Reviews number (MathSciNet)
MR959192

Zentralblatt MATH identifier
0649.62040

JSTOR
Gray, Robert J. A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk. Ann. Statist. 16 (1988), no. 3, 1141--1154. doi:10.1214/aos/1176350951. http://projecteuclid.org/euclid.aos/1176350951.