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- Title
Comparison of Regression Curves with Censored Responses.
- Authors
PARDO-FERNÁNDEZ, JUAN CARLOS; VAN KEILEGOM, INGRID
- Abstract
In this article, we introduce a procedure to test the equality of regression functions when the response variables are censored. The test is based on a comparison of Kaplan–Meier estimators of the distribution of the censored residuals. Kolmogorov–Smirnov- and Cramér–von Mises-type statistics are considered. Some asymptotic results are proved: weak convergence of the process of interest, convergence of the test statistics and behaviour of the process under local alternatives. We also describe a bootstrap procedure in order to approximate the critical values of the test. A simulation study and an application to a real data set conclude the paper.
- Subjects
REGRESSION analysis; STATISTICS; STATISTICAL bootstrapping; STATISTICAL sampling; MATHEMATICS
- Publication
Scandinavian Journal of Statistics, 2006, Vol 33, Issue 3, p409
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/j.1467-9469.2006.00508.x