[Vectis-commits] r5 - pkg/R

noreply at r-forge.r-project.org noreply at r-forge.r-project.org
Thu Mar 28 21:33:18 CET 2013


Author: cbattles
Date: 2013-03-28 21:33:18 +0100 (Thu, 28 Mar 2013)
New Revision: 5

Modified:
   pkg/R/Cap_anal.R
Log:
Main graph updates:  graph cleanup, setting of dynamic limits, colors.
Added binwidth parameter and changed automatic method to Freedman-Diaconis

Modified: pkg/R/Cap_anal.R
===================================================================
--- pkg/R/Cap_anal.R	2013-03-28 13:43:29 UTC (rev 4)
+++ pkg/R/Cap_anal.R	2013-03-28 20:33:18 UTC (rev 5)
@@ -1,236 +1,284 @@
-vectis.cap <- function(x,
-                       distribution = "normal",
-                       USL = NA,
-                       LSL = NA,
-                       target = NA,
-                       main = "Capabilities Analysis",
-                       sub = "",
-                       groupsize = 1,
-                       mrlength = 2,
-                       alpha = 0.05,
-                       tol = 5.15,
-                       unbias_sub = TRUE,
-                       unbias_overall = FALSE)
-{
-  if (is.na(target)){
-  stop("Target not specified")
-  }
-  if (is.na(LSL) & is.na(USL)){
-  stop("Upper and Lower Specification Limits not specified")
-  }
-  if (groupsize < 1 | groupsize > 50){
-  stop("Group Size must be between 1 and 50")
-  }
-  if (mrlength < 2){
-  stop("Moving Range Length must be greater than or equal to 2")
-  }
-  
-  Lookup <-
-    structure(list(N = 1:100, 
-                   c4 = c(NA, 0.797885, 0.886227, 0.921318, 
-                          0.939986, 0.951533, 0.959369, 0.96503, 0.969311, 0.972659, 0.97535, 
-                          0.977559, 0.979406, 0.980971, 0.982316, 0.983484, 0.984506, 0.98541, 
-                          0.986214, 0.986934, 0.987583, 0.98817, 0.988705, 0.989193, 0.98964, 
-                          0.990052, 0.990433, 0.990786, 0.991113, 0.991418, 0.991703, 0.991969, 
-                          0.992219, 0.992454, 0.992675, 0.992884, 0.99308, 0.993267, 0.993443, 
-                          0.993611, 0.99377, 0.993922, 0.994066, 0.994203, 0.994335, 0.99446, 
-                          0.99458, 0.994695, 0.994806, 0.994911, 0.995013, 0.99511, 0.995204, 
-                          0.995294, 0.995381, 0.995465, 0.995546, 0.995624, 0.995699, 0.995772, 
-                          0.995842, 0.99591, 0.995976, 0.99604, 0.996102, 0.996161, 0.996219, 
-                          0.996276, 0.99633, 0.996383, 0.996435, 0.996485, 0.996534, 0.996581, 
-                          0.996627, 0.996672, 0.996716, 0.996759, 0.9968, 0.996841, 0.99688, 
-                          0.996918, 0.996956, 0.996993, 0.997028, 0.997063, 0.997097, 0.997131, 
-                          0.997163, 0.997195, 0.997226, 0.997257, 0.997286, 0.997315, 0.997344, 
-                          0.997372, 0.997399, 0.997426, 0.997452, 0.997478), 
-                   c5 = c(NA, 0.603, 0.463, 0.389, 0.341, 0.308, 0.282, 0.262, 0.246, 0.232, 
-                          0.22, 0.21, 0.202, 0.194, 0.187, 0.181, 0.175, 0.17, 0.166, 0.161, 
-                          0.157, 0.153, 0.15, 0.147, 0.144, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA), 
-                   d2 = c(1, 1.128, 1.693, 2.059, 2.326, 2.534, 
-                          2.704, 2.847, 2.97, 3.078, 3.173, 3.258, 3.336, 3.407, 3.472, 
-                          3.532, 3.588, 3.64, 3.689, 3.735, 3.778, 3.819, 3.858, 3.895, 
-                          3.931, 3.965, 3.997, 4.028, 4.058, 4.086, 4.113, 4.139, 4.164, 
-                          4.189, 4.213, 4.236, 4.258, 4.28, 4.301, 4.322, 4.342, 4.361, 
-                          4.38, 4.398, 4.415, 4.432, 4.449, 4.466, 4.482, 4.498, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA), 
-                   d3 = c(0.82, 0.8525, 0.8884, 0.8794, 0.8641, 0.848, 0.8332, 
-                          0.8198, 0.8078, 0.7971, 0.7873, 0.7785, 0.7704, 0.763, 0.7562, 
-                          0.7499, 0.7441, 0.7386, 0.7335, 0.7287, 0.7242, 0.7199, 0.7159, 
-                          0.7121, 0.7084, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA), 
-                   d4 = c(1, 0.954, 1.588, 1.978, 2.257, 2.472, 2.645, 2.791, 
-                          2.915, 3.024, 3.121, 3.207, 3.285, 3.356, 3.422, 3.482, 3.538, 
-                          3.591, 3.64, 3.686, 3.73, 3.771, 3.811, 3.847, 3.883, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
-                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA)), 
-              .Names = c("N", "c4", "c5", "d2", "d3", "d4"), class = "data.frame", 
-              row.names = c(NA, -100L))
-    
-#   x <- c(3,5,2,3,7,4,9,1,7,5,8,3)
-#   distribution = "normal"
-#   USL = 9
-#   LSL = 1
-#   target = 5
-#   main = "Capabilities Analysis"
-#   sub = ""
-#   groupsize = 1
-#   mrlength = 2
-#   alpha = 0.05
-#   tol = 5.15
-#   unbias_sub = TRUE
-#   unbias_overall = TRUE
-  
-  if (groupsize == 1){
-    R_i <- vector(mode = "numeric", length = (length(x[!is.na(x)])-(mrlength-1)))
-    range_temp <- vector(mode = "numeric", length = mrlength)
-    for(i in 1:(length(x[!is.na(x)])-(mrlength-1))){
-      for(j in i:(i+mrlength-1)){
-        range_temp[j+1-i]<-x[j]
-      }
-      R_i[i] <- max(range_temp) - min(range_temp)
-    }
-    Rbar <- sum(R_i)/(length(x[!is.na(x)])-(mrlength-1))
-    
-    if (unbias_sub) {
-      S_within <<- Rbar/(Lookup$d2[mrlength])
-      } else {
-      S_within <<- Rbar
-      }
-  }
-  
-  if (groupsize > 1){
-    #Add Here
-  }
-
-  if (unbias_overall) {
-    S_overall <- sd(x)/(Lookup$c4[length(x[!is.na(x)])])
-    } else {
-    S_overall <- sd(x)
-    }
-
-  mu <- mean(x)
-  
-  # Process Data
-  Proc_Data <- vector(mode = "numeric", length = 8)
-  names(Proc_Data) <- c("LSL","Target","USL","Sample Mean","Number of Obs.",
-                        "StDev(Within)","StDev(Overall)","Group Size")
-  Proc_Data["LSL"] <- LSL
-  Proc_Data["Target"] <- target
-  Proc_Data["USL"] <- USL
-  Proc_Data["Sample Mean"] <- mu
-  Proc_Data["Number of Obs."] <- length(x[!is.na(x)])
-  Proc_Data["StDev(Within)"] <- S_within
-  Proc_Data["StDev(Overall)"] <- S_overall
-  Proc_Data["Group Size"] <- groupsize
-  
-  
-  # Potential Capability Matrix
-  CPS <- vector(mode = "numeric", length = 5)
-  names(CPS) <- c("Cp","CPL", "CPU", "Cpk", "CCpk")
-  CPS["Cp"] <- (USL - LSL)/(tol*S_within)
-  CPS["CPL"] <- (mu - LSL)/(.5*tol*S_within)
-  CPS["CPU"] <- (USL - mu)/(.5*tol*S_within)
-  CPS["Cpk"] <- min(CPS["CPU"],CPS["CPL"])
-  CPS["CCpk"] <- min(USL-target,target-LSL)/(.5*tol*S_within)
-  
-  # Overall Capability Matrix
-  PPS <- vector(mode = "numeric", length = 5)
-  names(PPS) <- c("Pp","PPL", "PPU", "Ppk", "Cpm")
-  PPS["Pp"] <- (USL - LSL)/(tol*S_overall)
-  PPS["PPL"] <- (mu - LSL)/(.5*tol*S_overall)
-  PPS["PPU"] <- (USL - mu)/(.5*tol*S_overall)
-  PPS["Ppk"] <- min(PPS["PPU"],PPS["PPL"])
-  PPS["Cpm"] <- min(USL-target,target-LSL)/(.5*tol*sd(x))
-  
-  #Expected Within/Overall/Observed Performance
-  PERF <- vector(mode = "numeric", length = 9)
-  names(PERF) <- c("PWLL","PWGU","PWT","POLL","POGU","POT","OBLL","OBGU","OBT")
-  PERF["PWLL"] <- 1e6*(1-pnorm((mu-LSL)/S_within))
-  PERF["PWGU"] <- 1e6*(1-pnorm((USL-mu)/S_within))
-  PERF["PWT"] <- sum(PERF["PWLL"],PERF["PWGU"])
-  PERF["POLL"] <- 1e6*(1-pnorm((mu-LSL)/S_overall))
-  PERF["POGU"] <- 1e6*(1-pnorm((USL-mu)/S_overall))
-  PERF["POT"] <- sum(PERF["POLL"],PERF["POGU"]) 
-  PERF["OBLL"] <- 1e6*(length(x[x<LSL])/length(x[!is.na(x)]))
-  PERF["OBGU"] <- 1e6*(length(x[x>USL])/length(x[!is.na(x)]))
-  PERF["OBT"] <- sum(PERF["OBLL"],PERF["OBGU"]) 
-
-# Create Plots
-  x <- as.data.frame(x)
-  aes_now <- function(...) {structure(list(...),  class = "uneval")}
-
-  p <- ggplot(x, aes(x = x)) +
-              theme(plot.margin = unit(c(3,1,1,1), "lines"))
-
-  p <- p + geom_histogram(aes(y=..density..),        
-                          binwidth = diff(range(x))/sqrt(length(x[!is.na(x)])), 
-                          color = "black", fill = "blue")
-  p <- p + geom_density()
-  p <- p + geom_vline(xintercept = LSL, linetype = 2, size = 1, color = "darkred") 
-  p <- p + geom_vline(xintercept = target, linetype = 2, size = 1, color = "green3")
-  p <- p + geom_vline(xintercept = USL, linetype = 2, size = 1, color = "darkred") 
- 
-  p <- p + geom_text(aes_now(label = c("USL","Target","LSL"), 
-                             x = c(USL,target,LSL), y = Inf), 
-                     hjust = .5, vjust = -1, color = "black", size=5)
-  p <- p + annotate(geom = "text", 
-           x = LSL, 
-           y = 0, 
-           label = "LSL", 
-           hjust = -0.1, 
-           size = 5, color = "darkred") 
-  p <- p + annotate(geom = "text",
-           x = target, 
-           y = 0, 
-           label = "TAR",
-           hjust = -0.1,
-           size = 5, color = "green3")
-  p <- p + annotate(geom = "text",
-           x = USL, 
-           y = 0, 
-           label = "USL",
-           hjust = 1.1, 
-           size = 5, color = "darkred") 
-  gt <- ggplot_gtable(ggplot_build(p))
-  gt$layout$clip[gt$layout$name == "panel"] <- "off"
-  grid.draw(gt)
-  
-#   p <- p + stat_density(geom="path", 
-#                         position="identity", 
-#                         binwidth = diff(range(x))/sqrt(length(x[!is.na(x)])),
-#                         size = 1) +
-#            stat_function(fun = dnorm, 
-#                          args = with(as.data.frame(x),	c(mean(x), sd(x))), 
-#                          linetype = 2, size = 1)
-  
-  print(gt)
-  
-  
-  output <- list(Proc_Data,CPS,PPS,PERF)
-  class(output) <- 'myclass'
-  return(output)
-}
-
-print.myclass <- function(x) {
-  cat("Capabiliy Analysis","\n")
-  print(noquote(cbind(`Process Data` = unlist(x[[1]]))), digits = 4)
-  cat("\n")
-  print(noquote(cbind(`Potential Capability` = unlist(x[[2]]))), digits = 4)
-  cat("\n")
-  print(noquote(cbind(`Overall Capability` = unlist(x[[3]]))), digits = 4)
-  cat("\n")
-  print(noquote(cbind(`Performance` = unlist(x[[4]]))), digits = 4)
-  return(invisible(x))
+vectis.cap <- function(data,
+                       distribution = "normal",
+                       USL = NA,
+                       LSL = NA,
+                       target = NA,
+                       main = "Capabilities Analysis",
+                       sub = "",
+                       groupsize = 1,
+                       mrlength = 2,
+                       alpha = 0.05,
+                       tol = 5.15,
+                       unbias_sub = TRUE,
+                       unbias_overall = FALSE,
+                       density = FALSE,
+                       binwidth = -1
+                       )
+{
+  library(ggplot2)
+  library(grid)
+  
+  if (is.na(target)){
+  stop("Target not specified")
+  }
+  if (is.na(LSL) & is.na(USL)){
+  stop("Upper and Lower Specification Limits not specified")
+  }
+  if (groupsize < 1 | groupsize > 50){
+  stop("Group Size must be between 1 and 50")
+  }
+  if (mrlength < 2){
+  stop("Moving Range Length must be greater than or equal to 2")
+  }
+  
+  Lookup <-
+    structure(list(N = 1:100, 
+                   c4 = c(NA, 0.797885, 0.886227, 0.921318, 
+                          0.939986, 0.951533, 0.959369, 0.96503, 0.969311, 0.972659, 0.97535, 
+                          0.977559, 0.979406, 0.980971, 0.982316, 0.983484, 0.984506, 0.98541, 
+                          0.986214, 0.986934, 0.987583, 0.98817, 0.988705, 0.989193, 0.98964, 
+                          0.990052, 0.990433, 0.990786, 0.991113, 0.991418, 0.991703, 0.991969, 
+                          0.992219, 0.992454, 0.992675, 0.992884, 0.99308, 0.993267, 0.993443, 
+                          0.993611, 0.99377, 0.993922, 0.994066, 0.994203, 0.994335, 0.99446, 
+                          0.99458, 0.994695, 0.994806, 0.994911, 0.995013, 0.99511, 0.995204, 
+                          0.995294, 0.995381, 0.995465, 0.995546, 0.995624, 0.995699, 0.995772, 
+                          0.995842, 0.99591, 0.995976, 0.99604, 0.996102, 0.996161, 0.996219, 
+                          0.996276, 0.99633, 0.996383, 0.996435, 0.996485, 0.996534, 0.996581, 
+                          0.996627, 0.996672, 0.996716, 0.996759, 0.9968, 0.996841, 0.99688, 
+                          0.996918, 0.996956, 0.996993, 0.997028, 0.997063, 0.997097, 0.997131, 
+                          0.997163, 0.997195, 0.997226, 0.997257, 0.997286, 0.997315, 0.997344, 
+                          0.997372, 0.997399, 0.997426, 0.997452, 0.997478), 
+                   c5 = c(NA, 0.603, 0.463, 0.389, 0.341, 0.308, 0.282, 0.262, 0.246, 0.232, 
+                          0.22, 0.21, 0.202, 0.194, 0.187, 0.181, 0.175, 0.17, 0.166, 0.161, 
+                          0.157, 0.153, 0.15, 0.147, 0.144, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA), 
+                   d2 = c(1, 1.128, 1.693, 2.059, 2.326, 2.534, 
+                          2.704, 2.847, 2.97, 3.078, 3.173, 3.258, 3.336, 3.407, 3.472, 
+                          3.532, 3.588, 3.64, 3.689, 3.735, 3.778, 3.819, 3.858, 3.895, 
+                          3.931, 3.965, 3.997, 4.028, 4.058, 4.086, 4.113, 4.139, 4.164, 
+                          4.189, 4.213, 4.236, 4.258, 4.28, 4.301, 4.322, 4.342, 4.361, 
+                          4.38, 4.398, 4.415, 4.432, 4.449, 4.466, 4.482, 4.498, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA), 
+                   d3 = c(0.82, 0.8525, 0.8884, 0.8794, 0.8641, 0.848, 0.8332, 
+                          0.8198, 0.8078, 0.7971, 0.7873, 0.7785, 0.7704, 0.763, 0.7562, 
+                          0.7499, 0.7441, 0.7386, 0.7335, 0.7287, 0.7242, 0.7199, 0.7159, 
+                          0.7121, 0.7084, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA), 
+                   d4 = c(1, 0.954, 1.588, 1.978, 2.257, 2.472, 2.645, 2.791, 
+                          2.915, 3.024, 3.121, 3.207, 3.285, 3.356, 3.422, 3.482, 3.538, 
+                          3.591, 3.64, 3.686, 3.73, 3.771, 3.811, 3.847, 3.883, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, 
+                          NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA)), 
+              .Names = c("N", "c4", "c5", "d2", "d3", "d4"), class = "data.frame", 
+              row.names = c(NA, -100L))
+    
+#   x <- c(3,5,2,3,7,4,9,1,7,5,8,3)
+#   distribution = "normal"
+#   USL = 9
+#   LSL = 1
+#   target = 5
+#   main = "Capabilities Analysis"
+#   sub = ""
+#   groupsize = 1
+#   mrlength = 2
+#   alpha = 0.05
+#   tol = 5.15
+#   unbias_sub = TRUE
+#   unbias_overall = TRUE
+  
+  if (groupsize == 1){
+    R_i <- vector(mode = "numeric", length = (length(data[!is.na(data)])-(mrlength-1)))
+    range_temp <- vector(mode = "numeric", length = mrlength)
+    for(i in 1:(length(data[!is.na(data)])-(mrlength-1))){
+      for(j in i:(i+mrlength-1)){
+        range_temp[j+1-i]<-data[j]
+      }
+      R_i[i] <- max(range_temp) - min(range_temp)
+    }
+    Rbar <- sum(R_i)/(length(data[!is.na(data)])-(mrlength-1))
+    
+    if (unbias_sub) {
+      S_within <<- Rbar/(Lookup$d2[mrlength])
+      } else {
+      S_within <<- Rbar
+      }
+  }
+  
+  if (groupsize > 1){
+    #Add Here
+  }
+
+  if (unbias_overall) {
+    S_overall <- sd(data)/(Lookup$c4[length(data[!is.na(data)])])
+    } else {
+    S_overall <- sd(data)
+    }
+
+  mu <- mean(data)
+  
+  # Process Data
+  Proc_Data <- vector(mode = "numeric", length = 8)
+  names(Proc_Data) <- c("LSL","Target","USL","Sample Mean","Number of Obs.",
+                        "StDev(Within)","StDev(Overall)","Group Size")
+  Proc_Data["LSL"] <- LSL
+  Proc_Data["Target"] <- target
+  Proc_Data["USL"] <- USL
+  Proc_Data["Sample Mean"] <- mu
+  Proc_Data["Number of Obs."] <- length(data[!is.na(data)])
+  Proc_Data["StDev(Within)"] <- S_within
+  Proc_Data["StDev(Overall)"] <- S_overall
+  Proc_Data["Group Size"] <- groupsize
+  
+  
+  # Potential Capability Matrix
+  CPS <- vector(mode = "numeric", length = 5)
+  names(CPS) <- c("Cp","CPL", "CPU", "Cpk", "CCpk")
+  CPS["Cp"] <- (USL - LSL)/(tol*S_within)
+  CPS["CPL"] <- (mu - LSL)/(.5*tol*S_within)
+  CPS["CPU"] <- (USL - mu)/(.5*tol*S_within)
+  CPS["Cpk"] <- min(CPS["CPU"],CPS["CPL"])
+  CPS["CCpk"] <- min(USL-target,target-LSL)/(.5*tol*S_within)
+  
+  # Overall Capability Matrix
+  PPS <- vector(mode = "numeric", length = 5)
+  names(PPS) <- c("Pp","PPL", "PPU", "Ppk", "Cpm")
+  PPS["Pp"] <- (USL - LSL)/(tol*S_overall)
+  PPS["PPL"] <- (mu - LSL)/(.5*tol*S_overall)
+  PPS["PPU"] <- (USL - mu)/(.5*tol*S_overall)
+  PPS["Ppk"] <- min(PPS["PPU"],PPS["PPL"])
+  PPS["Cpm"] <- min(USL-target,target-LSL)/(.5*tol*sd(data))
+  
+  #Expected Within/Overall/Observed Performance
+  PERF <- vector(mode = "numeric", length = 9)
+  names(PERF) <- c("PWLL","PWGU","PWT","POLL","POGU","POT","OBLL","OBGU","OBT")
+  PERF["PWLL"] <- 1e6*(1-pnorm((mu-LSL)/S_within))
+  PERF["PWGU"] <- 1e6*(1-pnorm((USL-mu)/S_within))
+  PERF["PWT"] <- sum(PERF["PWLL"],PERF["PWGU"])
+  PERF["POLL"] <- 1e6*(1-pnorm((mu-LSL)/S_overall))
+  PERF["POGU"] <- 1e6*(1-pnorm((USL-mu)/S_overall))
+  PERF["POT"] <- sum(PERF["POLL"],PERF["POGU"]) 
+  PERF["OBLL"] <- 1e6*(length(data[data<LSL])/length(data[!is.na(data)]))
+  PERF["OBGU"] <- 1e6*(length(data[data>USL])/length(data[!is.na(data)]))
+  PERF["OBT"] <- sum(PERF["OBLL"],PERF["OBGU"]) 
+
+  #Determine max densities for plot limits
+  
+  if(density) dens_max <- max(density(data)[[2]]) else dens_max <- 0
+  freq_max <- max(hist(as.vector(data), plot = FALSE)$density)
+  with_max <- dnorm(mean(data), mean = mean(data),sd = S_within)
+  over_max <- dnorm(mean(data), mean = mean(data),sd = S_overall)
+  
+  
+  #Calculate the binwidth if not specified
+  if (binwidth == -1) {
+    #Freedman-Diaconis
+    binwidth = 2 * IQR(data) / (length(data[!is.na(data)])^(1/3))
+    #Square-root choice
+    #binwidth = diff(range(data))/sqrt(length(data[!is.na(data)]))
+  }
+  
+# Create Plots
+  data <- as.data.frame(data)
+  aes_now <- function(...) {structure(list(...),  class = "uneval")}
+
+  p <- ggplot(data, aes(x = data)) +
+              theme(plot.margin = unit(c(3,1,1,1), "lines"), 
+                    panel.grid.minor = element_blank(),
+                    panel.grid.major = element_blank(),
+                    panel.background = element_rect(fill = NA, color = "gray0"),    
+                    axis.title.y = element_blank(),
+                    axis.title.x = element_blank(),
+                    axis.ticks.y = element_blank(),
+                    axis.text.y = element_blank(),
+                    axis.text.x = element_text(size = 15)) + 
+       coord_cartesian(ylim = c(0, max(1.05 * dens_max, 1.05 * freq_max, 
+                                       1.05 * with_max, 1.05 * over_max)),
+                       xlim = c(min(min(data),1.1 * LSL - 0.1 * USL, target - 3 * S_within, 
+                                    target - 3 * S_overall),
+                                max(max(data),1.1 * USL - 0.1 * LSL, target + 3 * S_within, 
+                                    target + 3 * S_overall))) +
+           xlim(min(min(data),1.1 * LSL - 0.1 * USL, target - 3 * S_within, target - 3 * S_overall),
+                max(max(data),1.1 * USL - 0.1 * LSL, target + 3 * S_within, target + 3 * S_overall)) +
+           ylim(0, max(1.05 * dens_max, 1.05 * freq_max, 
+                       1.05 * with_max, 1.05 * over_max))
+
+  
+  p <- p + geom_histogram(aes(y=..density..),        
+                          binwidth = binwidth, 
+                          color = "black", fill = "slategray1", position = "identity")
+  
+  if(density) {p <- p + geom_line(stat="density", size = 1.1, 
+                                  color = "dodgerblue3", position="identity")}
+  
+  p <- p + geom_vline(xintercept = LSL, linetype = 5, size = .65, color = "red3") 
+  p <- p + geom_vline(xintercept = target, linetype = 5, size = .65, color = "green3")
+  p <- p + geom_vline(xintercept = USL, linetype = 5, size = .65, color = "red3") 
+   
+  p <- p + geom_text(aes_now(label = c("USL"), x = c(USL), y = Inf, family = "sans"), 
+                     hjust = .5, vjust = -1, color = "red3", size=5)
+  p <- p + geom_text(aes_now(label = c("LSL"), x = c(LSL), y = Inf, family = "sans"), 
+                     hjust = .5, vjust = -1, color = "red3", size=5)
+  p <- p + geom_text(aes_now(label = c("Target"), x = c(target), y = Inf, family = "sans"), 
+                     hjust = .5, vjust = -1, color = "green3", size=5)
+  
+  p <- p + stat_function(fun = dnorm,args=list(mean = mu, sd = S_within), 
+                         color = "red3", size = 1.1, linetype = 1)
+  p <- p + stat_function(fun = dnorm,args=list(mean = mu, sd = S_overall), 
+                         color = "gray0", size = 1.1, linetype = 2)
+  
+#   p <- p + opts(panel.background = theme_rect())
+  
+#   p <- p + annotate(geom = "text", 
+#            x = LSL, 
+#            y = 0, 
+#            label = "LSL", 
+#            hjust = -0.1, 
+#            size = 5, color = "darkred") 
+#   p <- p + annotate(geom = "text",
+#            x = target, 
+#            y = 0, 
+#            label = "TAR",
+#            hjust = -0.1,
+#            size = 5, color = "green3")
+#   p <- p + annotate(geom = "text",
+#            x = USL, 
+#            y = 0, 
+#            label = "USL",
+#            hjust = 1.1, 
+#            size = 5, color = "darkred") 
+  
+  # Disable Clipping
+  gt <- ggplot_gtable(ggplot_build(p))
+  gt$layout$clip[gt$layout$name == "panel"] <- "off"
+  grid.draw(gt)
+    
+  print(gt)
+  
+  output <- list(Proc_Data,CPS,PPS,PERF)
+  class(output) <- 'myclass'
+  return(output)
+}
+
+print.myclass <- function(x) {
+  cat("Capabiliy Analysis","\n")
+  print(noquote(cbind(`Process Data` = unlist(x[[1]]))), digits = 4)
+  cat("\n")
+  print(noquote(cbind(`Potential Capability` = unlist(x[[2]]))), digits = 4)
+  cat("\n")
+  print(noquote(cbind(`Overall Capability` = unlist(x[[3]]))), digits = 4)
+  cat("\n")
+  print(noquote(cbind(`Performance` = unlist(x[[4]]))), digits = 4)
+  return(invisible(x))
 }
\ No newline at end of file



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