R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(13768040.14,17487530.67,16198106.13,17535166.38,16571771.60,16198892.67,16554237.93,19554176.37,15903762.33,18003781.65,18329610.38,16260733.42,14851949.20,18174068.44,18406552.23,18466459.42,16016524.60,17428458.32,17167191.42,19629987.60,17183629.01,18344657.85,19301440.71,18147463.68,16192909.22,18374420.60,20515191.95,18957217.20,16471529.53,18746813.27,19009453.59,19211178.55,20547653.75,19325754.03,20605542.58,20056915.06,16141449.72,20359793.22,19711553.27,15638580.70,14384486.00,13855616.12,14308336.46,15290621.44,14423755.53,13779681.49,15686348.94,14733828.17,12522497.94,16189383.57,16059123.25,16007123.26,15806842.33,15159951.13,15692144.17,18908869.11,16969881.42,16997477.78,19858875.65,17681170.13)
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> x <-sort(x[!is.na(x)])
> q1 <- function(data,n,p,i,f) {
+ np <- n*p;
+ i <<- floor(np)
+ f <<- np - i
+ qvalue <- (1-f)*data[i] + f*data[i+1]
+ }
> q2 <- function(data,n,p,i,f) {
+ np <- (n+1)*p
+ i <<- floor(np)
+ f <<- np - i
+ qvalue <- (1-f)*data[i] + f*data[i+1]
+ }
> q3 <- function(data,n,p,i,f) {
+ np <- n*p
+ i <<- floor(np)
+ f <<- np - i
+ if (f==0) {
+ qvalue <- data[i]
+ } else {
+ qvalue <- data[i+1]
+ }
+ }
> q4 <- function(data,n,p,i,f) {
+ np <- n*p
+ i <<- floor(np)
+ f <<- np - i
+ if (f==0) {
+ qvalue <- (data[i]+data[i+1])/2
+ } else {
+ qvalue <- data[i+1]
+ }
+ }
> q5 <- function(data,n,p,i,f) {
+ np <- (n-1)*p
+ i <<- floor(np)
+ f <<- np - i
+ if (f==0) {
+ qvalue <- data[i+1]
+ } else {
+ qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
+ }
+ }
> q6 <- function(data,n,p,i,f) {
+ np <- n*p+0.5
+ i <<- floor(np)
+ f <<- np - i
+ qvalue <- data[i]
+ }
> q7 <- function(data,n,p,i,f) {
+ np <- (n+1)*p
+ i <<- floor(np)
+ f <<- np - i
+ if (f==0) {
+ qvalue <- data[i]
+ } else {
+ qvalue <- f*data[i] + (1-f)*data[i+1]
+ }
+ }
> q8 <- function(data,n,p,i,f) {
+ np <- (n+1)*p
+ i <<- floor(np)
+ f <<- np - i
+ if (f==0) {
+ qvalue <- data[i]
+ } else {
+ if (f == 0.5) {
+ qvalue <- (data[i]+data[i+1])/2
+ } else {
+ if (f < 0.5) {
+ qvalue <- data[i]
+ } else {
+ qvalue <- data[i+1]
+ }
+ }
+ }
+ }
> lx <- length(x)
> qval <- array(NA,dim=c(99,8))
> mystep <- 25
> mystart <- 25
> if (lx>10){
+ mystep=10
+ mystart=10
+ }
> if (lx>20){
+ mystep=5
+ mystart=5
+ }
> if (lx>50){
+ mystep=2
+ mystart=2
+ }
> if (lx>=100){
+ mystep=1
+ mystart=1
+ }
> for (perc in seq(mystart,99,mystep)) {
+ qval[perc,1] <- q1(x,lx,perc/100,i,f)
+ qval[perc,2] <- q2(x,lx,perc/100,i,f)
+ qval[perc,3] <- q3(x,lx,perc/100,i,f)
+ qval[perc,4] <- q4(x,lx,perc/100,i,f)
+ qval[perc,5] <- q5(x,lx,perc/100,i,f)
+ qval[perc,6] <- q6(x,lx,perc/100,i,f)
+ qval[perc,7] <- q7(x,lx,perc/100,i,f)
+ qval[perc,8] <- q8(x,lx,perc/100,i,f)
+ }
> postscript(file="/var/www/html/rcomp/tmp/19uwq1291135376.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> myqqnorm <- qqnorm(x,col=2)
> qqline(x)
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'p',1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_3.htm','Empirical Distribution Function',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_6.htm','Closest Observation',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/method_8.htm','MS Excel (old versions)',''),1,TRUE)
> a<-table.row.end(a)
> for (perc in seq(mystart,99,mystep)) {
+ a<-table.row.start(a)
+ a<-table.element(a,round(perc/100,2),1,TRUE)
+ for (j in 1:8) {
+ a<-table.element(a,round(qval[perc,j],6))
+ }
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/2cvce1291135376.tab") 
> try(system("convert tmp/19uwq1291135376.ps tmp/19uwq1291135376.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.544   0.216   1.167