An age‐adjusted bootstrap‐based Poly‐k test
An age‐adjusted bootstrap‐based Poly‐k test
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基于年龄调整的 bootstrap Poly-k 测试
DOI：
10.18637/jss.v016.i07
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发表时间：
2005
影响因子：
2
通讯作者：
R. Kodell
中科院分区：
文献类型：
--
作者：
H. Moon;H. Ahn;R. Kodell
某些试验统计量的渐近正态分布的假设在某些剂量-反应趋势试验中可能是无效的。例如，生存调整后的Cochran-Armitage检验，即Poly-k检验，在零假设下是渐近标准正态的。然而，如果与本试验中假设的肿瘤发病分布存在偏差，或者如果竞争风险存活率在不同组之间存在差异，则渐近正态分布是无效的。我们发展了一种年龄调整的基于Bootstrap的方法来评估动物致癌性数据的假设渐近正态检验的重要性。该方法与传统的Bootstrap方法的不同之处在于，在各剂量组之间肿瘤发病率相等的零假设下，保留了各剂量组的死亡率。我们使用所提出的基于年龄调整的Bootstrap方法来研究Poly-3(P3)趋势检验统计量的经验分布，并将其与参考假设标准正态分布的P3检验统计量进行比较。一项模拟研究被用来评估这些检验对不同的威布尔家族肿瘤发病分布的稳健性。所提出的方法被应用于国家毒理学计划的数据集，以评估测试物质对肿瘤发病率的剂量相关趋势。2004年由约翰·威利父子有限公司出版。
The assumption of an asymptotic normal distribution of some test statistics may be invalid in certain dose–response trend tests. For instance, the survival‐adjusted Cochran–Armitage test, known as the Poly‐k test, is asymptotically standard normal under the null hypothesis. However, the asymptotic normality is not valid if there is a deviation from the tumour onset distribution that is assumed in this test or if the competing risks survival rates differ across groups. We develop an age‐adjusted bootstrap‐based method to assess the significance of assumed asymptotic normal tests for animal carcinogenicity data. The proposed method differs from conventional bootstrap methods in the aspect of preserving the mortality rate in each dose group under the null hypothesis of equal tumour incidence rates among the groups. We investigate an empirical distribution of the Poly‐3 (P3) trend test statistic using the proposed age‐adjusted bootstrap‐based method and compare it with the P3 test statistic referenced to the assumed standard normal distribution. A simulation study is conducted to evaluate the robustness of these tests to various Weibull‐family tumour onset distributions. The proposed method is applied to National Toxicology Program data sets to evaluate a dose‐related trend of a test substance on the incidence of neoplasms. Published in 2004 by John Wiley & Sons, Ltd.