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#' @title VIF by variable
#' @description
#' Calculates the variation inflation factors of all predictors in regression models
#' @param model is a linear regression model
#' @examples
#' data(macroKZ)
#' model <- lm(real_gdp ~ imp + exp + poil + eurkzt + tonia_rate, data = macroKZ)
#' vif_reg(model)
#' @importFrom cli console_width
#' @references Petrie, Adam. Published 2020-02-21. regclass package
#' @rdname vif_reg
#' @export
vif_reg<-function (model)
{
if (any(is.na(coef(model))))
stop("there are aliased coefficients in the model")
v <- vcov(model)
assign <- attr(model.matrix(model), "assign")
if (names(coefficients(model)[1]) == "(Intercept)") {
v <- v[-1, -1]
assign <- assign[-1]
}
else warning("No intercept: vifs may not be sensible.")
terms <- labels(terms(model))
n.terms <- length(terms)
if (n.terms < 2)
stop("model contains fewer than 2 terms")
R <- cov2cor(v)
detR <- det(R)
result <- matrix(0, n.terms, 3)
rownames(result) <- terms
colnames(result) <- c("GVIF", "Df", "GVIF^(1/(2*Df))")
for (term in 1:n.terms) {
subs <- which(assign == term)
result[term, 1] <- det(as.matrix(R[subs, subs])) * det(as.matrix(R[-subs,
-subs]))/detR
result[term, 2] <- length(subs)
}
if (all(result[, 2] == 1))
result <- result[, 1]
else result[, 3] <- result[, 1]^(1/(2 * result[, 2]))
l<-matrix(result, dimnames=list(terms))
#print
w3 <- console_width()
cat(format(as.character("Variance Inflation Factor"), width=w3, justify="centre"), "\n\n")
cat(paste("If statistics exceeds 5, please be aware of multicollinearity."), sep='\n')
cat("\n")
print(round(result,3))
cat("\n")
l<-matrix(result, dimnames=list(terms))
for (i in 1:length(l)){
if (l[i]>5)
cat(paste("This value", round(l[i], 3), "exceeds acceptable threshold."), sep='\n')
}
}
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