az_calc <- function(data, varname, outcomevar, bins){
binned_data <- bin_calculations(data, varname, outcomevar, bins)
z_trans <- scale(c(binned_data[["cumHR"]],binned_data[["cumFAR"]]), center = TRUE, scale = TRUE)
binned_data$z_cumHR <- z_trans[1:(length(z_trans)/2)]
binned_data$z_cumFAR <- z_trans[((length(z_trans)/2)+1):length(z_trans)]
fit <- lm( binned_data[["z_cumHR"]]~ binned_data[["z_cumFAR"]])
az <- as.numeric(fit$coefficients[1])/sqrt(1+(as.numeric(fit$coefficients[2])^2))
return(az)
}
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