Comparability of segmented line regression models

被引:221
|
作者
Kim, HJ [1 ]
Fay, MP
Yu, BB
Barrett, MJ
Feuer, EJ
机构
[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
[2] NCI, Div Canc Control & Populat Sci, Bethesda, MD 20892 USA
[3] Informat Management Serv Inc, Silver Spring, MD 20904 USA
关键词
change point; comparability; joinpoint regression; permutation test; segmented regression; spline regression;
D O I
10.1111/j.0006-341X.2004.00256.x
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:1005 / 1014
页数:10
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