Tests for equality of survival distributions against non-location alternatives

We propose new two and k-sample tests for evaluating the equality of survival distributions against alternatives that include crossing of survival functions, and proportional and monotone hazard ratios. The tests allow for right censored data. The asymptotic power against local alternatives is inves...

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Bibliographic Details
Published in:Lifetime data analysis 2004-12, Vol.10 (4), p.445-460
Main Authors: Bagdonavicius, Vilijandas B, Levuliene, Ruta J, Nikulin, Mikhail S, Zdorova-Cheminade, Olga
Format: Article
Language:English
Subjects:
Data Interpretation, Statistical
Gastrointestinal Neoplasms - diagnosis
Gastrointestinal Neoplasms - mortality
Gastrointestinal Neoplasms - therapy
Humans
Mass Screening - statistics & numerical data
Probability
Proportional Hazards Models
Sensitivity and Specificity
Statistics, Nonparametric
Survival Analysis
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Summary:We propose new two and k-sample tests for evaluating the equality of survival distributions against alternatives that include crossing of survival functions, and proportional and monotone hazard ratios. The tests allow for right censored data. The asymptotic power against local alternatives is investigated. Simulation results demonstrate that the new tests are more powerful than known tests when survival functions cross. We apply the tests to a well known study of chemo- and radio-therapy conducted by the Gastrointestinal Tumor Study Group. The P-values for both proposed tests are much smaller than for other known tests.
ISSN:1380-7870
1572-9249
DOI:10.1007/s10985-004-4777-7