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A nonparametric test for diagnosis of the proportionality assumption |
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| Authors: | Jong-Hoo Choi Hyo-Il Park |
| Institution: | (1) Department of Informational Statistics, Korea University, 208 Seochang-ri Jochiwon, 339-700 Choong-nam, South Korea;(2) Department of Statistics, Chong-ju University, Chong-ju, 360-764 Choong-book, South Korea |
| Abstract: | We propose a nonparametric test for diagnosis of the proportionality assumption between hazard functions based on a functional equation. Because of involvement of censoring distribution, we consider the test procedure in an asymptotic manner and obtain the asymptotic normality for the proposed test statistic. Then we discuss the rationale of use of the functional equation for the initial effect model. Finally we compare our test with others using an example. |
| Keywords: | Censored data Cumulative hazard function Initial effect model Proportionality Survival function Two-sample problem |
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