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#######################################################################
# #
# Package: lcc #
# #
# File: lpcBuilder.R #
# Contains: lpcBuilder function #
# #
# Written by Thiago de Paula Oliveira #
# copyright (c) 2017-18, Thiago P. Oliveira #
# #
# First version: 11/10/2017 #
# Last update: 29/07/2019 #
# License: GNU General Public License version 2 (June, 1991) or later #
# #
#######################################################################
##' @title Internal Function to Estimate the Longitudinal Pearson
##' Correlation.
##'
##' @description This is an internally called function used to estimate
##' the longitudinal Pearson correlation (LPC).
##'
##' @return returns a vector or list containing the longitudinal
##' Pearson correlation estimates.
##'
##' @usage NULL
##'
##' @author Thiago de Paula Oliveira, \email{thiago.paula.oliveira@@alumni.usp.br}
##'
##' @keywords internal
lpcBuilder<-function(G, tk, q_r, q_f, g, sig2_epsilon,
delta, deltal, model){
Tk_r <- sapply(0:q_r, function(x) tk^x)
Tk_f <- sapply(0:q_f, function(x) tk^x)
tGt <- diag(Tk_r %*% G %*% t(Tk_r))
varcomp <- summary(model)
var.f <- class(varcomp$modelStruct$varStruct)[1]
rho.pearson <- list()
if(var.f == "varIdent") {
gd <- g(delta)
gdl <- g(deltal)
ldb2 <- length(gdl)
for(i in 1:ldb2){
rho.pearson[[i]] <- as.numeric(
tGt / sqrt((tGt+sig2_epsilon*gd)*(tGt+sig2_epsilon*gdl[i]))
)
}
}
if(var.f == "varExp") {
if(attr(varcomp$modelStruct$varStruct, "formula")==~time){
gd <- g(delta,tk)
gdl <- g(deltal,tk)
rho.pearson <-list(tGt / sqrt((tGt +sig2_epsilon*gd)*
(tGt +sig2_epsilon*gdl)), NA)
} else {if(attr(varcomp$modelStruct$varStruct, "formula")==~time | method){
gd <- g(delta,tk)
ldb2 <- length(deltal)
gdl<-list()
for(i in 1:ldb2){
gdl[[i]] <- g(deltal[i],tk)
rho.pearson[[i]] <-
as.numeric(unlist(tGt / sqrt((tGt + sig2_epsilon*gd)*
(tGt + sig2_epsilon*gdl[[i]]))))
}
}else{print("method not implemented yet")}
}
}
if(var.f == "NULL"){
rho.pearson<-list(tGt / (tGt + sig2_epsilon),NA)
}
return(rho.pearson)
}
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