Tests for Location with K Samples Under the Koziol-Green Model of Random
by Ke Wu
In survival analysis, one is often interested in comparing
several groups (or treatments) in terms of their means, medians, or
distributions when data are possibly censored. This paper considers
tests for location with k samples and randomly right-censored data.
Under the Koziol-Green model of random censorship in which the survival
distribution of the censoring times is some power of the survival
distribution of the lifetimes, one class of k-sample location tests
similar to those discussed by James (1987), which allows shapes do
differ in the k populations, are developed. The tests are based on
general estimating functions and do not require full parametric
assumptions for large samples. The asymptotic distribution of the test
scores is derived under the null hypothesis.
K-sample Location Test, Koziol-Green Model, Random
Censorship, Maximum Likelihood Estimator, Product Limit Estimator
Joseph W. McKean
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