#' Calculate likehood function for a factorial solution
#' @param s.c sample covariance matrix
#' @param model estimated model
#' @param ll optional loadings
#' @export
calculate.ml.f<-function(s.c,model=NULL,ll=NULL) {
if(is.null(model) && is.null(ll)) {
stop("You should use a model or loadings")
}
if(!is.null(ll)) {
model<-ll%*%t(ll)
}
p<-nrow(s.c)
diag(model)<-rep(1,p)
as.numeric(determinant(model)$modulus-determinant(s.c)$modulus + psych::tr(s.c%*%solve(model))-p)
}
#' Se supone que la funcion objetivo se multiplica por (n-1), pero en
#' fa se multiplica por cualquier custion
#' n * (n - 1)/2 - n * nfactors + (nfactors * (nfactors - 1)/2)
#' para ser exactos -> tengo que revisar
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