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#' Sample size for estimating sensitivity
#' @description
#' In diagnostic studies, the test yields a binary outcome and accuracy is evaluated by sensitivity
#' and specificity. This function calculates sample size for estimating sensitivity when the diagnostic
#' test yields a binary outcome.
#'
#' @param p Prevalence of disease
#' @param se anticipated sensitivity of the test
#' @param prec Precision required on either side of the true sensitivity
#' @param alp level of significance or accepted level of probability of type I error
#' @author R. Amala, Scientist-C, ICMR-VCRC, Puducherry & G. Kumarapandiyan, Asst. Prof., Madras Christian College, Chennai
#' @return a list of total sample size based on sensitivity along with reporting
#' @import stringi stats
#' @export
#' @examples
#' est.se(p = 0.10, se = 0.99, prec = 0.03, alp = 0.05)
#' @references Hajian-Tilaki, K. (2014). Sample size estimation in diagnostic test studies of biomedical informatics. Journal of biomedical informatics, 48, 193-204.
est.se <- function(p, se, prec, alp) {
n <- ceiling(((qnorm(1 - alp / 2))^2 * se * (1 - se)) / (prec^2 * p))
if (!requireNamespace("stringi", quietly = TRUE)) {
stop("Package 'stringi' is not installed.")
}
s<-stringi::stri_paste("Description: \n The study would require a total sample size of",
n,
" with anticipated sentivity of ",
se,
" and prevalence of disease as",
p,
"with marginal error of estimate does not exceed from",
prec * 100,
"% with 95% confidence level.\n")
out <- list(Sample_Size = n,stringi::stri_pad(stringi::stri_wrap(s), side='both'))
return(out)
}
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