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Simple summary statistics (e.g., the standard deviation for each individual) are often used but they are not suited to account for time changes. In addition, when these summary statistics are used as covariates in a regression model for time\u2010to\u2010event outcomes, the estimates of the hazard ratios are subject to regression dilution. To overcome these issues, a joint model is built where the association between the time\u2010to\u2010event outcome and multivariate longitudinal markers is specified in terms of the within\u2010individual variability of the latter. A mixed\u2010effect location\u2010scale model is used to analyze the longitudinal biomarkers, their within\u2010individual variability and their correlation. The time to event is modeled using a proportional hazard regression model, with a flexible specification of the baseline hazard, and the information from the longitudinal biomarkers is shared as a function of the random effects. The model can be used to quantify within\u2010individual variability for the longitudinal markers and their association with the time\u2010to\u2010event outcome. We show through a simulation study the performance of the model in comparison with standard joint models with constant variance. The model is applied on a dataset of adult women from the UK cystic fibrosis registry, to evaluate the association between lung function, malnutrition and mortality.<\/jats:p>","DOI":"10.1002\/sim.70596","type":"journal-article","created":{"date-parts":[[2026,5,18]],"date-time":"2026-05-18T04:42:01Z","timestamp":1779079321000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Bayesian Location\u2010Scale Joint Model for Time\u2010To\u2010Event and Multivariate Longitudinal Data With Association Based on Within\u2010Individual Variability"],"prefix":"10.1002","volume":"45","author":[{"given":"Marco","family":"Palma","sequence":"first","affiliation":[{"name":"MRC Biostatistics Unit University of Cambridge  Cambridge UK"},{"name":"Population, Policy and Practice Research and Teaching Department UCL Great Ormond Street Institute of Child Health  London UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Omar","family":"El Makkaoui","sequence":"additional","affiliation":[{"name":"MRC Biostatistics Unit University of Cambridge  Cambridge UK"},{"name":"CentraleSup\u00e9lec Universit\u00e9 Paris\u2010Saclay  Paris France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6504-3253","authenticated-orcid":false,"given":"Ruth H.","family":"Keogh","sequence":"additional","affiliation":[{"name":"Department of Medical Statistics London School of Hygiene &amp; Tropical Medicine  London UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Siobh\u00e1n B.","family":"Carr","sequence":"additional","affiliation":[{"name":"Royal Brompton Hospital, Guy's and St Thomas' NHS Foundation Trust  London UK"},{"name":"National Heart and Lung Institute Imperial College  London UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0705-715X","authenticated-orcid":false,"given":"Rhonda","family":"Szczesniak","sequence":"additional","affiliation":[{"name":"Divisions of Biostatistics and Epidemiology and Pulmonary Medicine Cincinnati Children's Hospital Medical Center  Cincinnati Ohio USA"},{"name":"Department of Pediatrics University of Cincinnati  Cincinnati Ohio USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Taylor\u2010Robinson","sequence":"additional","affiliation":[{"name":"Department of Public Health, Policy and Systems University of Liverpool  Liverpool UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Angela M.","family":"Wood","sequence":"additional","affiliation":[{"name":"British Heart Foundation Cardiovascular Epidemiology Unit, Department of Public Health and Primary Care University of Cambridge  Cambridge UK"},{"name":"Victor Phillip Dahdaleh Heart and Lung Research Institute University of Cambridge  Cambridge UK"},{"name":"British Heart Foundation Centre of Research Excellence University of Cambridge  Cambridge UK"},{"name":"National Institute for Health and Care Research Blood and Transplant Research Unit in Donor Health and Behaviour University of Cambridge  Cambridge UK"},{"name":"Health Data Research UK Cambridge, Wellcome Genome Campus University of Cambridge  Cambridge UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Graciela","family":"Muniz\u2010Terrera","sequence":"additional","affiliation":[{"name":"Ohio University Heritage College of Osteopathic Medicine  Athens Ohio USA"},{"name":"University of Edinburgh  Edinburgh UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jessica K.","family":"Barrett","sequence":"additional","affiliation":[{"name":"MRC Biostatistics Unit University of Cambridge  Cambridge UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,5,17]]},"reference":[{"issue":"3","key":"e_1_2_11_2_1","first-page":"809","article-title":"Joint Modeling of Longitudinal and Time\u2010To\u2010Event Data: An Overview","volume":"14","author":"Tsiatis A. 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