# Hitung zCImean confidence interval # Confidence Interval calculation, Normal distribution (Z) # # Sunu Pradana # Samarinda, Indonesia, Agustus 2014 # # Creative Commons Attribution-ShareAlike 4.0 # # Usage (contoh penggunaan): # zCImean(95,10,2,33) # # # CI = confidence interval (arbitrary, usually, 90, 95, or 99) # xbar1 = point estimate of population mean by sample mean # sigma = population standard deviation # n = Jumlah sample (sample size) # # # # zCImean <- function(CI, xbar, sigma, n){ alpha = CI/100 two.tail.alpha <- alpha/2 two.tail.alpha <- 1-alpha one.tail.alpha <- two.tail.alpha/2 left.tail.alpha <- one.tail.alpha right.tail.alpha <- 1-one.tail.alpha left.z.value <- qnorm(left.tail.alpha) right.z.value <- qnorm(right.tail.alpha) left.val <- xbar - ( sqrt(left.z.value^2) * ( sigma/sqrt(n) ) ) right.val <- xbar + ( right.z.value * ( sigma/sqrt(n) ) ) difr <- ( right.z.value * ( sigma/sqrt(n) ) ) cat("\n") cat( sprintf("CI, xbar, sigma, n" ),fill = TRUE ) cat("\n") cat( sprintf("%-33s %1s % 5.3f ", "alpha", ":", alpha ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.3f ", "two.tail.alpha", ":", two.tail.alpha ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.3f ", "one.tail.alpha", ":", one.tail.alpha ),fill = TRUE ) cat("\n") cat( sprintf("%-33s %1s % 5.6g ", "left.z.value", ":", left.z.value ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.6g ", "left.z.value", ":", round(left.z.value,2) ),fill = TRUE ) cat("\n") cat( sprintf("%-33s %1s % 5.6g ", "right.z.value", ":", right.z.value ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.6g ", "right.z.value", ":", round(right.z.value,2)),fill = TRUE ) cat("\n") cat( sprintf("%-33s %1s % 4.6g ", "differ val", ":", round(difr,1)),fill = TRUE ) cat("\n") cat( sprintf("%-33s %1s % 5.6g %12s %-5.4g %-2s ", "left.val", ":", left.val, " [rounded: ", round(left.val,1), "]" ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.6g ", "Point estimate of population mean", ":", xbar ),fill = TRUE ) cat( sprintf("%-33s %1s % 5.6g %12s %-5.4g %-2s ", "right.val", ":", right.val, " [rounded: ", round(right.val,1),"]" ),fill = TRUE ) cat("\n") }