{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:26:05Z","timestamp":1740104765604,"version":"3.37.3"},"reference-count":30,"publisher":"Wiley","issue":"14","license":[{"start":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T00:00:00Z","timestamp":1330041600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T00:00:00Z","timestamp":1330041600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"},{"start":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T00:00:00Z","timestamp":1330041600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"name":"Institute for the Promotion of Innovation by Science and Technology in Flanders","award":["060081"],"award-info":[{"award-number":["060081"]}]},{"DOI":"10.13039\/501100001868","name":"National Science Council of Taiwan","doi-asserted-by":"crossref","award":["DP0881391"],"award-info":[{"award-number":["DP0881391"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2012,6,30]]},"abstract":"<jats:p>The effectiveness of childhood immunization programs depends on the vaccination coverage actually achieved. Routinely collected coverage data are not always available, and comparability between countries is often compromised because of different data collection methods. In 2000, Gay developed a method to estimate trivalent vaccination coverage from readily available trivariate serological data on the basis of parametric assumptions related to the rate of seroconversion for each vaccine component and probabilities of natural exposure to infection. Gay's work was indirectly published in a paper by Altmann and Altmann, who derived exact solutions for the parameters on the basis of Gay's modeling equations. In this paper, we propose a general likelihood\u2010based marginal model framework to extend Gay's model by relaxing two of its main assumptions. We use the Bahadur model for trivariate binary data to explicitly account for an association between the disease\u2010specific exposure probabilities. We fit several correlation structures to measles, mumps, and rubella serology from Belgium and Ireland. For both countries, we estimate a small positive pairwise exposure correlation, which improves the fit to the data. However, the effect on the estimated vaccination coverage and its associated variability is fairly moderate. For both Belgium and Ireland, all models reveal that the vaccination coverage achieved during the first 15\u2009years since the introduction of measles, mumps, and rubella immunization is insufficient to eliminate measles. Copyright \u00a9 2012 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.4481","type":"journal-article","created":{"date-parts":[[2012,2,24]],"date-time":"2012-02-24T08:36:46Z","timestamp":1330072606000},"page":"1432-1449","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Estimating vaccination coverage for the trivalent measles\u2013mumps\u2013rubella vaccine from trivariate serological data"],"prefix":"10.1002","volume":"31","author":[{"given":"Nele","family":"Goeyvaerts","sequence":"first","affiliation":[{"name":"Interuniversity Institute for Biostatistics and statistical Bioinformatics Hasselt University  Agoralaan 1 Gebouw D, B3590 Diepenbeek Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niel","family":"Hens","sequence":"additional","affiliation":[{"name":"Interuniversity Institute for Biostatistics and statistical Bioinformatics Hasselt University  Agoralaan 1 Gebouw D, B3590 Diepenbeek Belgium"},{"name":"Centre for Health Economics Research and Modeling Infectious Diseases and Centre for the Evaluation of Vaccination, Vaccine &amp; Infectious Disease Institute University of Antwerp  Universiteitsplein 1, B2610 Wilrijk Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heidi","family":"Theeten","sequence":"additional","affiliation":[{"name":"Centre for Health Economics Research and Modeling Infectious Diseases and Centre for the Evaluation of Vaccination, Vaccine &amp; Infectious Disease Institute University of Antwerp  Universiteitsplein 1, B2610 Wilrijk Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Aerts","sequence":"additional","affiliation":[{"name":"Interuniversity Institute for Biostatistics and statistical Bioinformatics Hasselt University  Agoralaan 1 Gebouw D, B3590 Diepenbeek Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pierre Van","family":"Damme","sequence":"additional","affiliation":[{"name":"Centre for Health Economics Research and Modeling Infectious Diseases and Centre for the Evaluation of Vaccination, Vaccine &amp; Infectious Disease Institute University of Antwerp  Universiteitsplein 1, B2610 Wilrijk Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Philippe","family":"Beutels","sequence":"additional","affiliation":[{"name":"Centre for Health Economics Research and Modeling Infectious Diseases and Centre for the Evaluation of Vaccination, Vaccine &amp; Infectious Disease Institute University of Antwerp  Universiteitsplein 1, B2610 Wilrijk Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,2,24]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"crossref","first-page":"pii=19749","DOI":"10.2807\/ese.15.50.19749-en","article-title":"Spotlight on measles 2010: measles elimination in Europe \u2013 a new commitment to meet the goal by 2015","volume":"15","author":"Steffens I","year":"2010","journal-title":"Eurosurveillance"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1093\/imammb\/17.2.137"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/0140-6736(90)90420-A"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.2471\/BLT.07.041129"},{"key":"e_1_2_9_6_1","unstructured":"O'FlanaganD Measles and Rubella Elimination Committee of the Department of Health and Children. 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