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zCImean confidence interval

Sep 1st, 2014
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  1.    
  2.     # Hitung zCImean confidence interval
  3.     # Confidence Interval calculation, Normal distribution (Z)
  4.     #
  5.     # Sunu Pradana
  6.     # Samarinda, Indonesia, Agustus 2014
  7.     #      
  8.     # Creative Commons Attribution-ShareAlike 4.0
  9.     #
  10.     # Usage (contoh penggunaan):
  11.     # zCImean(95,10,2,33)
  12.     #
  13.     #
  14.     # CI = confidence interval (arbitrary, usually, 90, 95, or 99)
  15.     # xbar1 = point estimate of population mean by sample mean
  16.     # sigma = population standard deviation
  17.     # n = Jumlah sample (sample size)
  18.     #
  19.     #
  20.     #
  21.     #        
  22.      
  23.     zCImean <- function(CI, xbar, sigma, n){    
  24.  
  25.     alpha = CI/100
  26.      
  27.     two.tail.alpha <- alpha/2
  28.     two.tail.alpha <- 1-alpha
  29.     one.tail.alpha <- two.tail.alpha/2
  30.      
  31.     left.tail.alpha <- one.tail.alpha
  32.     right.tail.alpha <- 1-one.tail.alpha
  33.      
  34.     left.z.value <- qnorm(left.tail.alpha)
  35.     right.z.value <- qnorm(right.tail.alpha)
  36.      
  37.     left.val <- xbar - ( sqrt(left.z.value^2) * ( sigma/sqrt(n) ) )
  38.     right.val <- xbar + ( right.z.value * ( sigma/sqrt(n) ) )
  39.     difr <- ( right.z.value * ( sigma/sqrt(n) ) )
  40.      
  41.     cat("\n")
  42.     cat( sprintf("CI, xbar, sigma, n" ),fill = TRUE )
  43.     cat("\n")
  44.      
  45.      
  46.     cat( sprintf("%-33s %1s % 5.3f  ", "alpha", ":", alpha ),fill = TRUE )
  47.     cat( sprintf("%-33s %1s % 5.3f  ", "two.tail.alpha", ":", two.tail.alpha ),fill = TRUE )
  48.     cat( sprintf("%-33s %1s % 5.3f  ", "one.tail.alpha", ":", one.tail.alpha ),fill = TRUE )
  49.     cat("\n")
  50.     cat( sprintf("%-33s %1s % 5.6g  ", "left.z.value", ":", left.z.value          ),fill = TRUE )
  51.     cat( sprintf("%-33s %1s % 5.6g  ", "left.z.value", ":", round(left.z.value,2) ),fill = TRUE )
  52.     cat("\n")
  53.     cat( sprintf("%-33s %1s % 5.6g  ", "right.z.value", ":", right.z.value         ),fill = TRUE )
  54.     cat( sprintf("%-33s %1s % 5.6g  ", "right.z.value", ":", round(right.z.value,2)),fill = TRUE )
  55.     cat("\n")
  56.     cat( sprintf("%-33s %1s % 4.6g  ", "differ val", ":", round(difr,1)),fill = TRUE )
  57.     cat("\n")
  58.     cat( sprintf("%-33s %1s % 5.6g %12s %-5.4g %-2s ", "left.val",  ":", left.val,  "   [rounded: ", round(left.val,1), "]"  ),fill = TRUE )
  59.     cat( sprintf("%-33s %1s % 5.6g  ", "Point estimate of population mean", ":", xbar ),fill = TRUE )
  60.     cat( sprintf("%-33s %1s % 5.6g %12s %-5.4g %-2s ", "right.val", ":", right.val, "   [rounded: ", round(right.val,1),"]" ),fill = TRUE )
  61.     cat("\n")
  62.     }
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