Comparability of segmented line regression models
Comparability of segmented line regression models
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DOI：
10.1111/j.0006-341x.2004.00256.x
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发表时间：
2004-12-01
期刊：
影响因子：
1.9
通讯作者：
Feuer, EJ
中科院分区：
文献类型：
--
作者：
Kim, HJ;Fay, MP;Feuer, EJ
由连续线性阶段组成的分段线回归模型已被应用于描述利率趋势模式的变化。在本文中，我们提出了一个比较两个分段线回归函数的过程，特别是测试（i）两个分段线回归函数是否相同或（ii）两个均值函数是否平行（允许不同的截距）。描述了检验统计量的一般形式，然后提出了排列过程来估计检验的 p 值。在 p 值估计方面将排列测试与近似 F 测试进行比较，并通过模拟研究排列测试的性能。这些测试用于比较两个登记区域之间的女性肺癌死亡率，以及比较两个州之间的女性乳腺癌死亡率。
Segmented line regression models, which are composed of continuous linear phases, have been applied to describe changes in rate trend patterns. In this article, we propose a procedure to compare two segmented line regression functions, specifically to test (i) whether the two segmented line regression functions are identical or (ii) whether the two mean functions are parallel allowing different intercepts. A general form of the test statistic is described and then the permutation procedure is proposed to estimate the p-value of the test. The permutation test is compared to an approximate F-test in terms of the p-value estimation and the performance of the permutation test is studied via simulations. The tests are applied to compare female lung cancer mortality rates between two registry areas and also to compare female breast cancer mortality rates between two states.