ctsem

ctsem-package

<p>ctsem is an R package for continuous time structural equation modelling of panel (N &gt; 1) 
and time series (N = 1) data, using either a frequentist or Bayesian approach. 
The frequentist approach is faster but can only estimate random-effects on the intercepts, 
while the Bayesian approach allows for random-effects across all model parameters.</p>

Hierarchical continuous time state space modelling, for linear
and nonlinear systems measured by  continuous variables, with limited support for
binary data. The subject specific dynamic system is modelled as a stochastic
differential equation (SDE), measurement models are typically multivariate normal factor models.
Using the original ctsem formulation based on OpenMx, described in the JSS paper
"Continuous Time Structural Equation Modeling with R Package ctsem", with updated version
as CRAN vignette <https://cran.r-project.org/web/packages/ctsem/vignettes/ctsem.pdf> ,
linear mixed effects SDE's estimated via maximum likelihood and optimization are possible.
Using the Stan based formulation, described in <https://github.com/cdriveraus/ctsem/raw/master/vignettes/hierarchicalmanual.pdf> ,
nonlinearity (state dependent parameters) and random effects on all parameters
are possible, using either optimization (with optional importance sampling) or
Stan's Hamiltonian Monte Carlo sampling. Priors may be used. For the conceptual
overview of the hierarchical Bayesian linear SDE approach, see <https://www.researchgate.net/publication/324093594_Hierarchical_Bayesian_Continuous_Time_Dynamic_Modeling>.
Exogenous inputs may also be included, for an overview of such possibilities see <https://www.researchgate.net/publication/328221807_Understanding_the_Time_Course_of_Interventions_with_Continuous_Time_Dynamic_Models> .
Stan based functions are not available on 32 bit Windows systems at present.

ctsem: ctsem

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