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#' Fit covariance structered longitudinal model.
#'
#' Responsible for performing the modeling of the model's covariance matrix through the use of covariance structures.
#'
#' @param fit A fit model with class 'mmcsd'
#' @param fittingType A character with the fitting function type. See optins above
#' @param sigmaThetaExpr A character with the covariance structure type or a list of expressions
#' @param optimParams A list with configuration for optim function. 'Par' is required.
#'
#' @return The fit model with class 'mmcsd.theta'.
#'
#' @export
#'
#' @examples
#' \donttest{
#' fit <- mmcsd(
#' score ~ wave + ageg + ecacg + qualifg,
#' waves = wave, ids = id,
#' weights = weight, stratum = strata, cluster = cluster,
#' data = example_data, sigma = "exchangeable"
#' )
#' fitTheta_ucm <- cov_mmcsd(fit,
#' fittingType = "PML", sigmaThetaExpr = "UCM",
#' optimParams = list(par = c(7, 5))
#' )
#' }
cov_mmcsd <- function(fit, fittingType, sigmaThetaExpr, optimParams) {
call <- match.call() # Capture function call
covMmcsdCheckRequirements(fit, fittingType, sigmaThetaExpr, optimParams)
sigmaThetaExprList <- getSigmaThetaExprList(sigmaThetaExpr, fit)
fittingFunction <- getFittingFunction(fittingType, sigmaThetaExprList, fit)
derivativesExprList <- getDerivativesExprList(sigmaThetaExprList)
gradientFunction <- getGradientFunction(derivativesExprList, sigmaThetaExprList, fit, fittingType)
optimParams <- addConfigToOptimParams(optimParams, fittingFunction, gradientFunction, sigmaThetaExprList)
fitTheta <- fitThetaModel(optimParams, sigmaThetaExprList, derivativesExprList, fittingType, fit)
gofMeasures <- getGoodnessOfFit(fitTheta, fit, fittingType)
fitTheta <- organizeFitTheta(fitTheta, gofMeasures, call, sigmaThetaExpr)
return(fitTheta)
}
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