Treffer: A Bayesian Multilevel Joint Modeling of Longitudinal and Survival Outcomes in Cluster Randomized Controlled Trial Studies.
Front Psychol. 2021 Jul 01;12:685496. (PMID: 34276510)
Biometrics. 2008 Sep;64(3):762-771. (PMID: 18162112)
Stat Med. 2026 Jan;45(1-2):e70385. (PMID: 41567118)
Biometrics. 1997 Mar;53(1):330-9. (PMID: 9147598)
Psychol Med. 2024 Nov 20;:1-9. (PMID: 39564750)
Prev Sci. 2018 Aug;19(6):738-747. (PMID: 29500615)
Stat Methods Med Res. 2019 Dec;28(12):3502-3515. (PMID: 30378472)
JAMA Pediatr. 2021 Nov 1;175(11):1142-1150. (PMID: 34369987)
Stat Med. 1996 Aug 15;15(15):1663-85. (PMID: 8858789)
Stat Methods Med Res. 2015 Aug;24(4):462-87. (PMID: 24525487)
Int Stat Rev. 2017 Aug;85(2):185-203. (PMID: 29307954)
Stat Med. 2016 Jul 30;35(17):2991-3006. (PMID: 26179943)
Can J Public Health. 2012 Jul 04;103(8 Suppl 2):S23-7. (PMID: 23618067)
Stat Med. 2021 Aug 30;40(19):4213-4229. (PMID: 34114254)
Stat Med. 2008 Nov 29;27(27):5679-91. (PMID: 18693300)
Biometrics. 2006 Dec;62(4):1037-43. (PMID: 17156277)
Stat Med. 2013 Feb 28;32(5):739-51. (PMID: 22865817)
Lifetime Data Anal. 2024 Oct;30(4):827-852. (PMID: 39367291)
Stat Med. 2013 Oct 15;32(23):4118-34. (PMID: 23613458)
Stat Med. 2016 Sep 30;35(22):3933-48. (PMID: 27090611)
J Am Acad Child Adolesc Psychiatry. 2020 Nov;59(11):1218-1239.e3. (PMID: 32504808)
Stat Med. 2011 Oct 30;30(24):2930-46. (PMID: 21805486)
Stat Med. 2022 Dec 20;41(29):5597-5611. (PMID: 36181392)
J Child Psychol Psychiatry. 1997 Jul;38(5):581-6. (PMID: 9255702)
Biometrics. 2008 Sep;64(3):950-958. (PMID: 18162110)
Arch Gen Psychiatry. 2003 Jul;60(7):709-17. (PMID: 12860775)
Stat Med. 2014 Oct 30;33(24):4279-91. (PMID: 24935619)
Eur J Investig Health Psychol Educ. 2024 Aug 18;14(8):2404-2416. (PMID: 39194953)
Pediatrics. 2012 Jan;129(1):e232-46. (PMID: 22201156)
Prev Vet Med. 2014 Jul 1;115(1-2):29-38. (PMID: 24703248)
BMC Med Res Methodol. 2012 Mar 23;12:34. (PMID: 22443286)
Stat Med. 2009 May 15;28(11):1601-19. (PMID: 19308919)
BMC Med Res Methodol. 2026 Jan 12;:. (PMID: 41526818)
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Cluster randomized controlled trials (CRCTs) are commonly used when interventions are delivered at the group level. Since data from CTCTs are inherently multilevel, methods that properly account for clustering are required. Joint modeling (JM) of longitudinal and survival data allows for simultaneous evaluation of intervention effects on repeated measures and time-to-event outcomes, offering a comprehensive view of intervention effects. However, existing JMs do not accommodate clustered data structures typically of CRCTs. This study introduces a multilevel joint model (MJM) to simultaneously evaluate intervention effects on correlated longitudinal and survival outcomes. The model was applied to empirical data from a large CRCT evaluating the PAX Good Behavior Game, a classroom-based mental health intervention involving 4189 Grade 1 students across 313 classrooms during the 2011-2012 school year. Mental health was assessed at three time points: pre-PAX (January 2012), post-PAX (June 2012), and Grade 5 (June 2016). Time-to-first mental disorder diagnosis was tracked through March 2024. Simulation studies further evaluated the MJM's performance under varying conditions, including censoring rates, cluster sizes, group-level variances, and survival model specifications. Results indicated the PAX program significantly improved mental health trajectories and reduced the risk of mental disorder diagnoses. The MJM outperformed traditional JMs by producing more accurate estimates and standard errors. Both empirical and simulation findings demonstrated that ignoring hierarchical structures leads to biased inferences and underestimation of intervention effects. The proposed MJM offers a robust and flexible analytic framework for analyzing data from CRCTs, emphasizing the importance of accounting for clustering in evaluating group-based interventions.
(© 2026 The Author(s). Statistics in Medicine published by John Wiley & Sons Ltd.)