#' A Function that Calculates Coefficient H and Omega Total
#'
#' This function takes a fitted lavaan measurement model and calculates two indexes of latent reliability: Coefficient H and Omega Total. Based on McNeish (2018)
#' @param model a fitted lavaan object from a measurement model for which the user wishes to estimate reliability
#' @return a tibble of H and Omega Total
#' @export
#' @examples
#' cong.hs <- congeneric(df)
#' reliability(cong.hs)
reliability <- function(model){
params <- tibble::as_tibble(lavaan::standardizedsolution(model))
loads <- dplyr::filter(params, op == "=~")
errors <- dplyr::filter(params, op == "~~")
errors <- errors[-1,]
#H
loads <- dplyr::mutate(loads, I2 = (est.std^2)/(1-est.std^2))
sumI2 <- sum(loads$I2)
mind <- 1/sumI2
majd <- 1+mind
H <- 1/majd
#Omega Total
sumload <- sum(loads$est.std)
sumerror <- sum(errors$est.std)
omegnum <- sumload^2
omegdenom <- omegnum+sumerror
omega.total <- omegnum/omegdenom
index <- c("H", "Omega Total")
estimate <- c(H, omega.total)
reliability <- tibble::as_tibble(cbind(index, estimate))
return(reliability)
}
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