{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,12]],"date-time":"2024-07-12T15:17:24Z","timestamp":1720797444719},"reference-count":26,"publisher":"Wiley","issue":"28","license":[{"start":{"date-parts":[[2008,7,14]],"date-time":"2008-07-14T00:00:00Z","timestamp":1215993600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2008,12,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Measures of association for bivariate interval censored data have not yet been studied extensively. Betensky and Finkelstein (<jats:italic>Statist. Med.<\/jats:italic> 1999; <jats:bold>18<\/jats:bold>:3101\u20133109) proposed to calculate Kendall's coefficient of concordance using a multiple imputation technique, but their method becomes computer intensive for moderate to large data sets. We suggest a different approach consisting of two steps. Firstly, a bivariate smooth estimate of the density of log\u2010event times is determined. The smoothing technique is based on a mixture of Gaussian densities fixed on a grid with weights determined by a penalized likelihood approach. Secondly, given the smooth approximation several local and global measures of association can be estimated readily.<\/jats:p><jats:p>The performance of our method is illustrated by an extensive simulation study and is applied to tooth emergence data of permanent teeth measured on 4468 children from the Signal\u2010Tandmobiel<jats:sup>\u00ae<\/jats:sup> study. Copyright \u00a9 2008 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.3374","type":"journal-article","created":{"date-parts":[[2008,7,14]],"date-time":"2008-07-14T09:16:27Z","timestamp":1216026987000},"page":"5941-5955","source":"Crossref","is-referenced-by-count":9,"title":["Estimating local and global measures of association for bivariate interval censored data with a smooth estimate of the density"],"prefix":"10.1002","volume":"27","author":[{"given":"Kris","family":"Bogaerts","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emmanuel","family":"Lesaffre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2008,7,14]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2530458"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097\u20100258(19991130)18:22<3101::AID\u2010SIM339>3.0.CO;2\u20105"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006\u2010341X.2004.00250.x"},{"key":"e_1_2_1_5_2","first-page":"87","article-title":"The Signal\u2010Tandmobiel\u00ae project, a longitudinal intervention health promotion study in Flanders (Belgium): baseline and first year results","volume":"2","author":"Vanobbergen J","year":"2000","journal-title":"European Journal of Paediatric Dentistry"},{"key":"e_1_2_1_6_2","first-page":"69","article-title":"Correlation: pitfalls and alternatives","volume":"12","author":"Embrechts P","year":"1999","journal-title":"Risk Magazine"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1304-8"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1201\/b13150"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/65.1.141"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.2307\/2289934"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/3315932"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1038425655"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.2307\/2290630"},{"key":"e_1_2_1_14_2","first-page":"633","volume-title":"Proceedings of the Joint Statistical Meetings, Biometrics Section","author":"Bogaerts K","year":"2003"},{"key":"e_1_2_1_15_2","unstructured":"BogaertsK.Statistical modelling of tooth emergence based on multivariate interval\u2010censored data. Ph.D. Thesis Katholieke Universiteit Leuven Belgium 2007."},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1198\/106186005X63734"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1002\/sim.3083"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.2307\/3316096"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1198\/1061860043371"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1198\/106186005X48470"},{"key":"e_1_2_1_21_2","first-page":"1199","article-title":"Estimation of Kendall's tau under censoring","volume":"10","author":"Wang W","year":"2000","journal-title":"Statistica Sinica"},{"key":"e_1_2_1_22_2","unstructured":"BogaertsK LesaffreE.Estimating local and global measures of association for bivariate interval censored data with a smooth estimate of the density. Technical Report Biostatistical Centre Katholieke Universiteit Leuven Belgium 2006. I.A.P. 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