TY - JOUR
T1 - A semi-parametric joint latent class model with longitudinal and survival data
AU - Liu, Yue
AU - Lin, Ye
AU - Zhou, Jianhui
AU - Liu, Lei
N1 - Funding Information:
This research is partly supported by the NIAAA grant RC1 AA019274 and AHRQ grant R01 HS020263.
Publisher Copyright:
© 2020, International Press of Boston, Inc.
PY - 2020
Y1 - 2020
N2 - In many longitudinal studies, we are interested in both repeated measures of a biomarker and time to an event. When there exist heterogeneous patterns of the longitudinal and survival profiles, we propose a latent class joint model to identify subgroups of subjects and study the association between longitudinal and survival outcomes. The model is estimated by maximizing the full likelihood function. We use B-splines to approximate the baseline hazard function which involves a diverging number of parameters. Asymptotic properties of the estimator for the joint latent class model are investigated. We conduct simulation studies to assess the performance of the developed method. A real data example, Mayo Clinic Primary Biliary Cirrhosis Data, is analyzed using the joint modeling approach.
AB - In many longitudinal studies, we are interested in both repeated measures of a biomarker and time to an event. When there exist heterogeneous patterns of the longitudinal and survival profiles, we propose a latent class joint model to identify subgroups of subjects and study the association between longitudinal and survival outcomes. The model is estimated by maximizing the full likelihood function. We use B-splines to approximate the baseline hazard function which involves a diverging number of parameters. Asymptotic properties of the estimator for the joint latent class model are investigated. We conduct simulation studies to assess the performance of the developed method. A real data example, Mayo Clinic Primary Biliary Cirrhosis Data, is analyzed using the joint modeling approach.
KW - B-splines
KW - Longitudinal measurements
KW - Mixed effects model
KW - Proportional hazards model
KW - Survival outcome
UR - http://www.scopus.com/inward/record.url?scp=85086400552&partnerID=8YFLogxK
U2 - 10.4310/SII.2020.v13.n3.a10
DO - 10.4310/SII.2020.v13.n3.a10
M3 - Article
AN - SCOPUS:85086400552
SN - 1938-7989
VL - 13
SP - 411
EP - 422
JO - Statistics and its Interface
JF - Statistics and its Interface
IS - 3
ER -