A goodness-of-fit test for association in a bivariate survival model

A goodness-of-fit test for association in a bivariate survival model
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DOI:
10.1093/biomet/85.1.189
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发表时间:
1998-03-01
期刊:
影响因子:
2.7
通讯作者:
Shih, JH
Shih, JH
中科院分区:
数学2区
文献类型:
--
作者:
Shih, JH

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本文通过比较关联参数的未加权和加权一致性估计,提出了克莱顿模型(1978)中常数条件危险比的一个简单检验。如果克莱顿模型成立,这两个估计值之差收敛到零。建议的测试是一致的替代下,两个一致性估计收敛到不同的值。在克莱顿模型下,我们导出了检验统计量的渐近方差的显式公式,并导出了检验统计量的渐近分布。然后我们扩展测试;统计数据纳入审查;建议的测试,预计将执行一般类的替代品单调条件风险比。我们研究有限样本的性质,通过模拟的测试,统计。
We propose a-simple test of constant conditional hazard ratio in the Clayton model (1978) by comparing the unweighted and weighted concordance estimators of the association parameter. If the Clayton model holds, the difference of these two estimates converges to zero. The proposed test is consistent against alternatives under which the two concordance estimators converge to different values. We derive an explicit-formula for the asymptotic variance and derive the asymptotic distribution of the test statistic under the Clayton model. Then we extend the test;statistic to incorporate censoring; The proposed test is expected to perform well for a general class of alternatives with monotone conditional hazard ratio. We examine the finite sample properties-of the test ;statistic through simulations.