September 2024 Joint modeling of multistate and nonparametric multivariate longitudinal data
Lu You, Falastin Salami, Carina Törn, Åke Lernmark, Roy Tamura
Author Affiliations +
Ann. Appl. Stat. 18(3): 2444-2461 (September 2024). DOI: 10.1214/24-AOAS1889

Abstract

It is oftentimes the case in studies of disease progression that subjects can move into one of several disease states of interest. Multistate models are an indispensable tool to analyze data from such studies. The Environmental Determinants of Diabetes in the Young (TEDDY) is an observational study of at-risk children from birth to onset of type-1 diabetes (T1D) up through the age of 15. A joint model for simultaneous inference of multistate and multivariate nonparametric longitudinal data is proposed to analyze data and answer the research questions brought up in the study. The proposed method allows us to make statistical inferences, test hypotheses, and make predictions about future state occupation in the TEDDY study. The performance of the proposed method is evaluated by simulation studies. The proposed method is applied to the motivating example to demonstrate the capabilities of the method.

Funding Statement

Research reported in this publication was supported by the National Institute of Diabetes and Digestive and Kidney Diseases of the National Institutes of Health under Award Number R03DK135437. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.
The TEDDY study is funded by U01 DK63829, U01 DK63861, U01 DK63821, U01 DK63865, U01 DK63863, U01 DK63836, U01 DK63790, UC4 DK63829, UC4 DK63861, UC4 DK63821, UC4 DK63865, UC4 DK63863, UC4 DK63836, UC4 DK95300, UC4 DK100238, UC4 DK106955, UC4 DK112243, UC4 DK117483, U01 DK124166, U01 DK128847, and Contract No. HHSN267200700014C from the National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK), National Institute of Allergy and Infectious Diseases (NIAID), Eunice Kennedy Shriver National Institute of Child Health and Human Development (NICHD), National Institute of Environmental Health Sciences (NIEHS), Centers for Disease Control and Prevention (CDC), and JDRF. This work is supported, in part, by the NIH/NCATS Clinical and Translational Science Awards to the University of Florida (UL1 TR000064) and the University of Colorado (UL1 TR002535). The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

Citation

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Lu You. Falastin Salami. Carina Törn. Åke Lernmark. Roy Tamura. "Joint modeling of multistate and nonparametric multivariate longitudinal data." Ann. Appl. Stat. 18 (3) 2444 - 2461, September 2024. https://doi.org/10.1214/24-AOAS1889

Information

Received: 1 June 2023; Revised: 1 February 2024; Published: September 2024
First available in Project Euclid: 5 August 2024

Digital Object Identifier: 10.1214/24-AOAS1889

Keywords: joint modeling , multistate model , spline regression model , type-1 diabetes

Rights: Copyright © 2024 Institute of Mathematical Statistics

Vol.18 • No. 3 • September 2024
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