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Comparability of Segmented Line Regression Models

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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.

Keywords: Change point; Comparability; Joinpoint regression; Permutation test; Segmented regression; Spline regression

Document Type: Research Article


Affiliations: 1: Information Management Services, Inc., 12501 Prosperity Drive, Suite 200, Silver Spring, Maryland 20904, U.S.A. 2: Division of Cancer Control and Population Sciences, National Cancer Institute, 6116 Executive Boulevard, Suite 504, MSC 8317, Bethesda, Maryland 20892-8317, U.S.A.

Publication date: December 1, 2004

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