A new class of generalized log rank tests for interval-censored failure time data.
A new class of generalized log rank tests for interval-censored failure time data.
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DOI：
10.1016/j.csda.2012.11.002
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发表时间：
2013-04
影响因子：
1.8
通讯作者：
Sun J
中科院分区：
文献类型：
--
作者：
Zhao X;Duan R;Zhao Q;Sun J
本文讨论了当只观察区间删失失效时间数据时生存函数的非参数比较问题。针对这一问题，文献中提出了一些方法。然而，大多数现有的测试程序确定的测试结果或p值的基础上特设的方法或排列的方法。此外，对于已导出渐近分布的检验程序，结果仅针对零假设。换句话说，不存在在备择假设下具有已知渐近分布的非参数检验程序，因此可用于执行把握度和检验量计算。本文提出了一类新的广义对数秩检验，并在零假设和备择假设下得到了它们的渐近分布。进行了模拟研究，以评估其性能有限样本的情况下，并提供了一个说明性的例子。
This paper discusses nonparametric comparison of survival functions when one observes only interval-censored failure time data. For the problem, a few procedures have been proposed in the literature. However, most of the existing test procedures determine the test results or p-values based on ad hoc methods or the permutation approach. Furthermore for the test procedures whose asymptotic distributions have been derived, the results are only for the null hypothesis. In other words, no nonparametric test procedure exists that has a known asymptotic distribution under the alternative hypothesis and thus can be employed to carry out the power and test size calculation. In this paper, a new class of generalized log-rank tests is proposed and their asymptotic distributions are derived under both null and alternative hypotheses. A simulation study is conducted to assess their performance for finite sample situations and an illustrative example is provided.