The package JMbayes2 fits joint models for longitudinal and time-to-event data. It can accommodate multiple longitudinal outcomes of different type (e.g., continuous, dichotomous, ordinal, counts), and assuming different distributions, i.e., Gaussian, Student’s-t, Gamma, Beta, unit Lindley, censored Normal, Binomial, Poisson, Negative Binomial, and Beta-Binomial. For the event time process, right, left and interval censored data can be handled, while competing risks, multi-state and recurrent event processes are also covered.
JMbayes2 fits joint models using Markov chain Monte Carlo algorithms implemented in C++. Besides the main modeling function, the package also provides a number of functions to summarize and visualize the results.
JMbayes2 can be installed from CRAN:
The development version can be installed from GitHub:
# install.packages("remotes") remotes::install_github("drizopoulos/jmbayes2")
To fit a joint model in JMbayes2 we first need to fit separately the mixed-effects models for the longitudinal outcomes and a Cox or accelerated failure time (AFT) model for the event process. The mixed models need to be fitted with function
lme() from the nlme package or function
mixed_model() from the GLMMadaptive package. The Cox or AFT model need to be fitted with function
coxph() or function
survreg() from the survival package. The resulting model objects are passed as arguments in the
jm() function that fits the corresponding joint model. We illustrate this procedure for a joint model with three longitudinal outcomes using the PBC dataset:
# Cox model for the composite event death or transplantation pbc2.id$status2 <- as.numeric(pbc2.id$status != 'alive') CoxFit <- coxph(Surv(years, status2) ~ sex, data = pbc2.id) # a linear mixed model for log serum bilirubin fm1 <- lme(log(serBilir) ~ year * sex, data = pbc2, random = ~ year | id) # a linear mixed model for the prothrombin time fm2 <- lme(prothrombin ~ year * sex, data = pbc2, random = ~ year | id) # a mixed effects logistic regression model for ascites fm3 <- mixed_model(ascites ~ year + sex, data = pbc2, random = ~ year | id, family = binomial()) # the joint model that links all sub-models jointFit <- jm(CoxFit, list(fm1, fm2, fm3), time_var = "year", n_iter = 12000L, n_burnin = 2000L, n_thin = 5L) summary(jointFit)