Testing equality of cause-specific hazard rates corresponding to m competing risks among K groups

Testing equality of cause-specific hazard rates corresponding to m competing risks among K groups
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DOI:
10.1023/a:1014887507027
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发表时间:
2002-06-01
影响因子:
1.3
通讯作者:
Gasbarra, D
Gasbarra, D
中科院分区:
数学3区
文献类型:
--
作者:
Kulathinal, SB;Gasbarra, D

文献摘要

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本文提出了一类比较K(大于或等于2)组中同时存在m个竞争风险的原因特异性危险率的检验。单元的可用数据是单元的失效时间沿着以及声称失效的风险标识符。在实际应用中,失效时间数据通常是右截尾的。检验的依据是对应于每种风险的特定原因危险率加权平均值之间的差异。未对竞争风险的相关性做出任何假设。结果表明,所提出的检验统计量具有渐近卡方分布。所提出的测试被证明是最佳的一种特定类型的本地替代品。文中还讨论了权函数的选择。利用多元Gumbel分布进行了仿真研究,比较了最佳的权重函数与建议的权重函数,这是在实践中使用。此外,拟议的测试还应用于宫内节育器终止的真实的数据。
In this paper, a class of tests is developed for comparing the cause-specific hazard rates of m competing risks simultaneously in K (greater than or equal to 2) groups. The data available for a unit are the failure time of the unit along with the identifier of the risk claiming the failure. In practice, the failure time data are generally right censored. The tests are based on the difference between the weighted averages of the cause-specific hazard rates corresponding to each risk. No assumption regarding the dependence of the competing risks is made. It is shown that the proposed test statistic has asymptotically chi-squared distribution. The proposed test is shown to be optimal for a specific type of local alternatives. The choice of weight function is also discussed. A simulation study is carried out using multivariate Gumbel distribution to compare the optimal weight function with a proposed weight function which is to be used in practice. Also, the proposed test is applied to real data on the termination of an intrauterine device.