{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T20:01:43Z","timestamp":1772136103634,"version":"3.50.1"},"reference-count":18,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,11,23]],"date-time":"2006-11-23T00:00:00Z","timestamp":1164240000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biometrical J"],"published-print":{"date-parts":[[2007,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A statistical model for jointly analysing the spatial variation of incidences of three (or more) diseases, with common and uncommon risk factors, is introduced. Deaths for different diseases are described by a logit model for multinomial responses (multinomial logit or polytomous logit model). For each area and confounding strata population (i.e. age\u2010class, sex, race) the probabilities of death for each cause (the response probabilities) are estimated. A specic disease, the one having a common risk factor only, acts as the baseline category. The log odds are decomposed additively into shared (common to diseases different by the reference disease) and specic structured spatial variability terms, unstructured unshared spatial terms and confounders terms (such as age, race and sex) to adjust the crude observed data for their effects. Disease specic spatially structured effects are estimated; these are considered as latent variables denoting disease\u2010specic risk factors.<\/jats:p><jats:p>The model is presented with reference to a specic application. We considered the mortality data (from 1990 to 1994) relative to oral cavity, larynx and lung cancers in 13 age groups of males, in the 287 municipalities of Region of Tuscany (Italy). All these pathologies share smoking as a common risk factor; furthermore, two of them (oral cavity and larynx cancer) share alcohol consumption as a risk factor. All studies suggest that smoking and alcohol consumption are the major known risk factors for oral cavity and larynx cancers; nevertheless, in this paper, we investigate the possibility of other different risk factors for these diseases, or even the presence of an interaction effect (between smoking and alcohol risk factors) but with different spatial patterns for oral and larynx cancer. For each municipality and age\u2010class the probabilities of death for each cause (the response probabilities) are estimated. Lung cancer acts as the baseline category. The log odds are decomposed additively into shared (common to oral cavity and larynx diseases) and specic structured spatial variability terms, unstructured unshared spatial terms and an age\u2010group term.<\/jats:p><jats:p>It turns out that oral cavity and larynx cancer have different spatial patterns for residual risk factors which are not the typical ones such as smoking habits and alcohol consumption. But, possibly, these patterns are due to different spatial interactions between smoking habits and alcohol consumption for the first and the second disease. (\u00a9 2007 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/bimj.200610295","type":"journal-article","created":{"date-parts":[[2006,11,23]],"date-time":"2006-11-23T11:23:27Z","timestamp":1164281007000},"page":"520-529","source":"Crossref","is-referenced-by-count":10,"title":["Polytomous Disease Mapping to Detect Uncommon Risk Factors for Related Diseases"],"prefix":"10.1002","volume":"49","author":[{"given":"Emanuela","family":"Dreassi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2007,8,27]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","unstructured":"Agresti A.(2002).Categorical Data Analysis 2ndedition. Wiley series in probability and statistics John Wiley & Sons Inc.","DOI":"10.1002\/0471249688"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19970415)16:7<741::AID-SIM501>3.0.CO;2-1"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00116466"},{"key":"e_1_2_1_5_1","unstructured":"Breslow N.andDay N. E.(1987).Statistical Methods in cancer research volume 2.The analysis of cohorts studies.Scientic publications n. 82 Lyon: International Agency for Research on Cancer."},{"key":"e_1_2_1_6_1","unstructured":"Clayton D.(1996).Generalized linear mixed models in Gilks WR Richardson S Spiegelhalter DJ (Eds) Markow Chain Monte Carlo in practice. London: Chapman & Hall 275\u2013301."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1191\/0962280205sm340oa"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/ijc.2910340504"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1093\/biostatistics\/4.1.11"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1177011136"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1191\/0962280205sm389oa"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2005.00359.x"},{"key":"e_1_2_1_13_1","unstructured":"Kelsall J. E.andWakefield J. C.(1999).Discussion of \u201cBayesian Models for Spatially Correlated Disease and Exposure Data\u201d by Bestet al. inBayesian Statistics 6 Bernardoet al. (eds.) New York Oxford University Press 151."},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-985X.00187"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2002.00492.x"},{"key":"e_1_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9876.00153"},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0258(20000915\/30)19:17\/18<2469::AID-SIM582>3.0.CO;2-4"},{"key":"e_1_2_1_18_1","unstructured":"Spiegelhalter D. J. Thomas A. Best N. andLunn D.(2002).WinBUGS User Manual Version 1.4.(Online user manual http:\/\/www.mrc\u2010bsu.cam.ac.uk\/bugs: accessed 20 January 2004)."},{"key":"e_1_2_1_19_1","unstructured":"Vigotti M. A. Biggeri A. Dreassi E. Protti M. A. andCislaghi C.(2001).Atlas of mortality in Tuscany 1971\u201394.Edizioni Plus: Universi\u00e0 degli Studi di Pisa."}],"container-title":["Biometrical Journal"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fbimj.200610295","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/bimj.200610295","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,15]],"date-time":"2023-11-15T11:58:43Z","timestamp":1700049523000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/bimj.200610295"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2007,8]]}},"alternative-id":["10.1002\/bimj.200610295"],"URL":"https:\/\/doi.org\/10.1002\/bimj.200610295","archive":["Portico"],"relation":{},"ISSN":["0323-3847","1521-4036"],"issn-type":[{"value":"0323-3847","type":"print"},{"value":"1521-4036","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8]]}}}