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Permutation tests for joinpoint regression with applications to cancer rates

✍ Scribed by Hyune-Ju Kim; Michael P. Fay; Eric J. Feuer; Douglas N. Midthune

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
153 KB
Volume
19
Category
Article
ISSN
0277-6715

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✦ Synopsis

The identi"cation of changes in the recent trend is an important issue in the analysis of cancer mortality and incidence data. We apply a joinpoint regression model to describe such continuous changes and use the grid-search method to "t the regression function with unknown joinpoints assuming constant variance and uncorrelated errors. We "nd the number of signi"cant joinpoints by performing several permutation tests, each of which has a correct signi"cance level asymptotically. Each p-value is found using Monte Carlo methods, and the overall asymptotic signi"cance level is maintained through a Bonferroni correction. These tests are extended to the situation with non-constant variance to handle rates with Poisson variation and possibly autocorrelated errors. The performance of these tests are studied via simulations and the tests are applied to U.S. prostate cancer incidence and mortality rates.

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