Tests for homogeneity of survival distributions against non-location alternatives and analysis of the gastric cancer data

  • The two and k-sample tests of equality of the survival distributions against the alternatives including cross-effects of survival functions, proportional and monotone hazard ratios, are given for the right censored data. The asymptotic power against approaching alternatives is investigated. The tests are applied to the well known chemio and radio therapy data of the Gastrointestinal Tumor Study Group. The P-values for both proposed tests are much smaller then in the case of other known tests. Differently from the test of Stablein and Koutrouvelis the new tests can be applied not only for singly but also to randomly censored data.

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Author:Vilijandas B. Bagdonavičius, Ruta Levuliene, Mikhail S. Nikulin, Olga Zdorova-Cheminade
Series (Serial Number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2004, 03)
Document Type:Preprint
Year of Completion:2004
Publishing Institution:Universität Potsdam
Release Date:2011/03/28
Tag:Censoring; Cross-effects; Kolmogorov-Smirnov type tests; Logrank test; Non-proportional hazards; Proportional hazards; Two-sample tests
RVK - Regensburg Classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Collections:Universität Potsdam / Aufsätze (Pre- und Postprints) / Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik / Wahrscheinlichkeitstheorie
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht