R version 2.15.2 (2012-10-26) -- "Trick or Treat"
Copyright (C) 2012 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i686-pc-linux-gnu (32-bit)

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(1.0137
+ ,0.9834
+ ,0.9643
+ ,0.9470
+ ,0.9060
+ ,0.9492
+ ,0.9397
+ ,0.9041
+ ,0.8721
+ ,0.8552
+ ,0.8564
+ ,0.8973
+ ,0.9383
+ ,0.9217
+ ,0.9095
+ ,0.8920
+ ,0.8742
+ ,0.8532
+ ,0.8607
+ ,0.9005
+ ,0.9111
+ ,0.9059
+ ,0.8883
+ ,0.8924
+ ,0.8833
+ ,0.8700
+ ,0.8758
+ ,0.8858
+ ,0.9170
+ ,0.9554
+ ,0.9922
+ ,0.9778
+ ,0.9808
+ ,0.9811
+ ,1.0014
+ ,1.0183
+ ,1.0622
+ ,1.0773
+ ,1.0807
+ ,1.0848
+ ,1.1582
+ ,1.1663
+ ,1.1372
+ ,1.1139
+ ,1.1222
+ ,1.1692
+ ,1.1702
+ ,1.2286
+ ,1.2613
+ ,1.2646
+ ,1.2262
+ ,1.1985
+ ,1.2007
+ ,1.2138
+ ,1.2266
+ ,1.2176
+ ,1.2218
+ ,1.2490
+ ,1.2991
+ ,1.3408
+ ,1.3119
+ ,1.3014
+ ,1.3201
+ ,1.2938
+ ,1.2694
+ ,1.2165
+ ,1.2037
+ ,1.2292
+ ,1.2256
+ ,1.2015
+ ,1.1786
+ ,1.1856
+ ,1.2103
+ ,1.1938
+ ,1.2020
+ ,1.2271
+ ,1.2770
+ ,1.2650
+ ,1.2684
+ ,1.2811
+ ,1.2727
+ ,1.2611
+ ,1.2881
+ ,1.3213
+ ,1.2999
+ ,1.3074
+ ,1.3242
+ ,1.3516
+ ,1.3511
+ ,1.3419
+ ,1.3716
+ ,1.3622
+ ,1.3896
+ ,1.4227
+ ,1.4684
+ ,1.4570
+ ,1.4718
+ ,1.4748
+ ,1.5527
+ ,1.5750
+ ,1.5557
+ ,1.5553
+ ,1.5770
+ ,1.4975
+ ,1.4369
+ ,1.3322
+ ,1.2732
+ ,1.3449
+ ,1.3239
+ ,1.2785
+ ,1.3050
+ ,1.3190
+ ,1.3650
+ ,1.4016
+ ,1.4088
+ ,1.4268
+ ,1.4562
+ ,1.4816
+ ,1.4914
+ ,1.4614
+ ,1.4272
+ ,1.3686
+ ,1.3569
+ ,1.3406
+ ,1.2565
+ ,1.2208
+ ,1.2770
+ ,1.2894
+ ,1.3067
+ ,1.3898
+ ,1.3661
+ ,1.3220
+ ,1.3360
+ ,1.3649
+ ,1.3999
+ ,1.4442
+ ,1.4349
+ ,1.4388
+ ,1.4264
+ ,1.4343
+ ,1.3770
+ ,1.3706
+ ,1.3556
+ ,1.3179
+ ,1.2905
+ ,1.3224
+ ,1.3201
+ ,1.3162
+ ,1.2789
+ ,1.2526
+ ,1.2288
+ ,1.2400
+ ,1.2856
+ ,1.2974
+ ,1.2828)
> 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/wessaorg/rcomp/tmp/1vby81354640241.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/2azex1354640241.tab") 
> 
> try(system("convert tmp/1vby81354640241.ps tmp/1vby81354640241.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.646   0.208   1.833