Permutation tests for joinpoint regression with applications to cancer rates

Statistics in MedicineVolume 19, Issue 3 p. 335-351 Research Article Permutation tests for joinpoint regression with applications to cancer rates Hyune-Ju Kim, Corresponding Author Hyune-Ju Kim hjkim@mailbox.syr.edu Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse University, Syracuse, NY 13244-1150, U.S.A.Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse, NY 13244-1150, U.S.A.Search for more papers by this authorMichael P. Fay, Michael P. Fay National Cancer Institute, Executive Plaza North, Suite 313, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this authorEric J. Feuer, Eric J. Feuer National Cancer Institute, Executive Plaza North, Suite 313, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this authorDouglas N. Midthune, Douglas N. Midthune National Cancer Institute, Executive Plaza North, Suite 344, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this author Hyune-Ju Kim, Corresponding Author Hyune-Ju Kim hjkim@mailbox.syr.edu Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse University, Syracuse, NY 13244-1150, U.S.A.Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse, NY 13244-1150, U.S.A.Search for more papers by this authorMichael P. Fay, Michael P. Fay National Cancer Institute, Executive Plaza North, Suite 313, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this authorEric J. Feuer, Eric J. Feuer National Cancer Institute, Executive Plaza North, Suite 313, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this authorDouglas N. Midthune, Douglas N. Midthune National Cancer Institute, Executive Plaza North, Suite 344, 6130 Executive Boulevard, Bethesda, MD 20892, U.S.A.Search for more papers by this author First published: 25 January 2000 https://doi.org/10.1002/(SICI)1097-0258(20000215)19:3<335::AID-SIM336>3.0.CO;2-ZCitations: 2,483AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract A Correction has been published for this article in Statistics in Medicine 2001; 20:655. The identification 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 fit the regression function with unknown joinpoints assuming constant variance and uncorrelated errors. We find the number of significant joinpoints by performing several permutation tests, each of which has a correct significance level asymptotically. Each p-value is found using Monte Carlo methods, and the overall asymptotic significance 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. Copyright © 2000 John Wiley & Sons, Ltd. Citing Literature Volume19, Issue315 February 2000Pages 335-351 RelatedInformation