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#' Confidence Interval for Proportions
#'
#' Calculates a confidence interval for proportions. For a discussion on the differences between methods to calculate confidence intervals, see the Stack Overflow discussion under References.
#' This method uses the R package "confintr" to calculate the confidence intervals.
#'
#' @param events number of events
#' @param n sample size
#' @param method the method ("Clopper-Pearson", "Agresti-Coull", "Wilson") that should be used to calculate the confidence intervals.
#'
#' @return
#' List of confidence interval of proportions if input length > 1. If input length = 1 Lower CI and Upper CI.
#'
#' @export
#'
#' @references
#' \href{https://search.r-project.org/CRAN/refmans/confintr/html/ci_proportion.html}{Confintr Function Description}
#' \href{https://stats.stackexchange.com/questions/82720/confidence-interval-around-binomial-estimate-of-0-or-1}{Stackoverflow Method Discussion}
#'
#' @examples
#' # CI for 9 events in a sample of 10
#' CI_from_proportions(9, 10)
CI_from_proportions <- function(events,
n,
method = "Clopper-Pearson") {
# data check
check_data(n=n)
check_data(n=events)
for(i in 1:length(events)){
if(events[i] > n[i]){stop("Events must be smaller than n")}
if(is.na(method[i])) c_method <- method
else c_method <- method[i]
# end data check
result_i <- confintr::ci_proportion(events[i], n[i], type = c_method)
result_i <- result_i$interval
names(result_i) <- c("Lower CI", "Upper CI")
if(i == 1) result <- list(result_i)
else result[i] <- list(result_i)
}
if(i == 1) result <- unlist(result)
return(result)
}
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