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#' Absolute Relative Risk and confidence interval
#'
#' This is a function to conveniently and quickly compute
#' the absolute relative risk (ARR) and its confidence interval.
#'
#' @param expPos Number of positive events in the experimental condition.
#' @param expN Total number of cases in the experimental condition.
#' @param conPos Number of positive events in the control condition.
#' @param conN Total number of cases in the control condition.
#' @param conf.level The confidence level for the confidence interval.
#' @param digits The number of digits to round to when printing the results.
#' @param printAsPercentage Whether to multiply with 100 when printing the results.
#' @param x The result of the call to `arr`.
#' @param ... Any additional arguments are neglected.
#'
#' @return An object with in `estimate`, the ARR, and in `conf.int`, the
#' confidence interval.
#' @rdname arr
#' @export
#'
#' @examples ufs::arr(10, 60, 20, 60);
arr <- function(expPos, expN,
conPos, conN,
conf.level = .95,
digits = 2,
printAsPercentage = TRUE) {
res <- list(estimate = (conPos / conN) - (expPos / expN));
res$se <-
sqrt(
(((expPos / expN) * (1 - (expPos / expN))) / expN) +
(((conPos / conN) * (1 - (conPos / conN))) / conN)
);
res$conf.level <- conf.level;
res$z <- stats::qnorm(1-(1-conf.level)/2);
res$margin.of.error <- res$z * res$se;
res$conf.int <-
c(res$estimate - res$margin.of.error,
res$estimate + res$margin.of.error);
res$digits <- digits;
res$printAsPercentage <- printAsPercentage;
class(res) <- "ufsARR";
return(res);
}
#' @method print ufsARR
#' @rdname arr
#' @export
print.ufsARR <- function(x,
digits = x$digits,
printAsPercentage = x$printAsPercentage,
...) {
if (printAsPercentage) {
multiplier <- 100;
} else {
multiplier <- 1;
}
ufs::cat0(
"Absolute Risk Reduction = ",
ufs::formatCI(
multiplier * x$conf.int,
digits = digits,
noZero = TRUE),
" (point estimate: ",
round(multiplier * x$estimate,
digits = digits),
")");
return(invisible(x));
}
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