Tests for equivalence of two survival functions: Alternative to the tests under proportional hazards.
Tests for equivalence of two survival functions: Alternative to the tests under proportional hazards.
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DOI:
10.1177/0962280214539282
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发表时间:
2017-03
影响因子:
2.3
通讯作者:
Chappell RJ
中科院分区:
文献类型:
--
作者:
Martinez EE;Sinha D;Wang W;Lipsitz SR;Chappell RJ
For either the equivalence trial or the non inferiority trial with survivor outcomes from two treatment groups, the most popular testing procedure is the extension (e.g, Wellek) of log-rank based test under proportional hazards model (PHM). We show that the actual type I error rate for the popular procedure of Wellek is higher than the intended nominal rate when survival responses from two treatment arms satisfy the proportional odds survival model (POSM). When the true model is POSM, we show that the hypothesis of equivalence of two survival functions can be formulated as a statistical hypothesis involving only the survival odds-ratio parameter. We further show that our new equivalence test, formulation, and related procedures are applicable even in the presence of additional covariates beyond treatment arms, and the associated equivalence test procedures have correct type I error rates under the PHM as well as the POSM. These results show that use of our test will be a safer statistical practice for equivalence trials of survival responses than the commonly used log-rank based tests.
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