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# the basic functions for calculating and bootstrapping the internal consistency estimates
####### measures functions ##########
applyalpha <- function(M, callback = function(){}){
a <- alphaArma(M)
callback()
return(a)
}
applylambda2 <- function(M, callback = function(){}){
lambda2 <- l2Arma(M)
callback()
return(lambda2)
}
applylambda6 <- function(M, callback = function(){}){
lambda6 <- try(l6Arma(M), silent = TRUE)
if (inherits(lambda6, "try-error")) {
lambda6 <- NaN
warning("singular bootstrapped covariance matrices encountered when computing lambda6")
}
callback()
return(lambda6)
}
applyomegaPFA <- function(m, callback = function(){}){
f <- try(pfaArma(m), silent = TRUE)
if (inherits(f, "try-error")) {
om <- NaN
warning("singular bootstrapped covariance matrices encountered when computing omega")
} else {
l_fa <- f$loadings
er_fa <- f$err_var
om <- sum(l_fa)^2 / (sum(l_fa)^2 + sum(er_fa))
if (om < 0 || om > 1 || is.na(om))
om <- NaN
}
callback()
return(om)
}
# old functions without Cpp
applyalphaNoCpp <- function(M, callback = function(){}){
p <- ncol(M)
a <- (p / (p - 1)) * (1 - (sum(diag((M))) / sum(M)))
callback()
return(a)
}
applylambda2NoCpp <- function(M, callback = function(){}){
p <- ncol(M)
M0 <- M
diag(M0) <- 0
lambda2 <- (sum(M0) + sqrt(p / (p - 1) * sum(M0^2))) / sum(M)
callback()
return(lambda2)
}
applylambda4NoCpp <- function(M, callback = function(){}){
if (ncol(M) < 15)
out <- MaxSplitExhaustive(M)
else
l4 <- quant.lambda4(M)
out <- quantile(l4, prob = 1)
callback()
return(out)
}
applylambda6NoCpp <- function(M, callback = function(){}){
smc <- trySmc(M)
if (inherits(smc, "try-error") || anyNA(smc)) {
lambda6 <- NaN
warning("singular bootstrapped covariance matrices encountered")
} else {
lambda6 <- 1 - (sum(1 - (smc)) / sum(cov2cor(M)))
}
callback()
return(lambda6)
}
applyomegaCFAData <- function(data, interval, pairwise, callback = function(){}){
out <- omegaFreqData(data, interval = interval, omega.int.analytic = TRUE, pairwise = pairwise)
om <- out$omega
callback()
return(om)
}
applyomegaCFACov <- function(cv, interval, omega.int.analytic, pairwise, n.boot){
data <- MASS::mvrnorm(500, numeric(ncol(cv)), cv)
out <- omegaFreqData(data, interval, omega.int.analytic, pairwise, n.boot)
om <- out$omega
return(om)
}
applyomegaPFANoCpp <- function(m, callback = function(){}){
f <- princFac(m)
l_fa <- f$loadings
er_fa <- f$err_var
om <- sum(l_fa)^2 / (sum(l_fa)^2 + sum(er_fa))
if (om < 0 || om > 1 || is.na(om))
om <- NaN
callback()
return(om)
}
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