Mancuso J Y, Ahn H, Chen J J
Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794-3600, U.S.A.
Stat Med. 2001 Aug 15;20(15):2305-18. doi: 10.1002/sim.849.
Methods of isotonic regression are proposed to increase the power of common trend tests in situations where a monotonicity constraint is imposed upon the dose-response function. Isotonic versions of Cochran-Armitage type trend tests for binary response data are developed, and the bootstrap method is used in finding the empirical distributions of the test statistics and their critical values. The isotonic likelihood ratio test with a survival adjustment is also proposed. This survival adjustment can be applied to the likelihood ratio test for either the order-restricted or unrestricted parameter cases. To achieve the isotonic modifications, an amalgamation algorithm is applied when the observed dose-response is non-monotonic. A Monte Carlo simulation study comparing these trend tests shows the advantages of the isotonic modifications and survival adjustment. By applying the proposed methods to data from a toxicology and carcinogenesis study conducted as part of the National Toxicology Program, the effect of CI Pigment Red 23 is investigated.
提出了等距回归方法，以在剂量反应函数受到单调性约束的情况下提高常见趋势检验的功效。开发了用于二元反应数据的 Cochr an-Armitage 型趋势检验的等距版本，并使用自助法来找到检验统计量及其临界值的经验分布。还提出了具有生存调整的等距似然比检验。这种生存调整可应用于顺序受限或无限制参数情况的似然比检验。为了实现等距修改，当观察到的剂量反应不单调时，应用合并算法。一项比较这些趋势检验的蒙特卡罗模拟研究显示了等距修改和生存调整的优势。通过将所提出的方法应用于作为国家毒理学计划一部分进行的毒理学和致癌作用研究的数据，研究了 CI 颜料红 23 的影响。
