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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationMon, 17 Oct 2011 14:56:52 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/17/t1318877820wleyleic2xeb890.htm/, Retrieved Wed, 15 May 2024 10:34:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=131009, Retrieved Wed, 15 May 2024 10:34:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- R PD  [Percentiles] [] [2011-10-17 18:56:04] [0fa8c500575976cf9d2f7efbe256ddfb]
-    D      [Percentiles] [] [2011-10-17 18:56:52] [2e63149daec6ba44c7d6fab36a0b0c34] [Current]
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Dataseries X:
21
15
18
11
8
19
4
20
16
14
10
13
14
8
23
11
9
24
5
15
5
19
6
13
11
17
17
5
9
15
17
3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=131009&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=131009&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=131009&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.053.63.65444.5543.354
0.155555555
0.1555555.65555
0.26.87.288866.88
0.2588.2588.58.7588.758
0.399999.3999
0.3510.210.55111110.851010.4511
0.41111111111111111
0.4511.812.7131312.91111.313
0.51313.51313.513.51313.513.5
0.551414.15141414.051414.8514
0.61515151515151515
0.651515.45151515.151515.5515
0.716.417171716.7161717
0.751717171717171717
0.817.618.4181817.81818.618
0.851919.051919191919.9519
0.919.820.7202019.92020.321
0.9521.823.35232321.92123.6523

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.05 & 3.6 & 3.65 & 4 & 4 & 4.55 & 4 & 3.35 & 4 \tabularnewline
0.1 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \tabularnewline
0.15 & 5 & 5 & 5 & 5 & 5.65 & 5 & 5 & 5 \tabularnewline
0.2 & 6.8 & 7.2 & 8 & 8 & 8 & 6 & 6.8 & 8 \tabularnewline
0.25 & 8 & 8.25 & 8 & 8.5 & 8.75 & 8 & 8.75 & 8 \tabularnewline
0.3 & 9 & 9 & 9 & 9 & 9.3 & 9 & 9 & 9 \tabularnewline
0.35 & 10.2 & 10.55 & 11 & 11 & 10.85 & 10 & 10.45 & 11 \tabularnewline
0.4 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \tabularnewline
0.45 & 11.8 & 12.7 & 13 & 13 & 12.9 & 11 & 11.3 & 13 \tabularnewline
0.5 & 13 & 13.5 & 13 & 13.5 & 13.5 & 13 & 13.5 & 13.5 \tabularnewline
0.55 & 14 & 14.15 & 14 & 14 & 14.05 & 14 & 14.85 & 14 \tabularnewline
0.6 & 15 & 15 & 15 & 15 & 15 & 15 & 15 & 15 \tabularnewline
0.65 & 15 & 15.45 & 15 & 15 & 15.15 & 15 & 15.55 & 15 \tabularnewline
0.7 & 16.4 & 17 & 17 & 17 & 16.7 & 16 & 17 & 17 \tabularnewline
0.75 & 17 & 17 & 17 & 17 & 17 & 17 & 17 & 17 \tabularnewline
0.8 & 17.6 & 18.4 & 18 & 18 & 17.8 & 18 & 18.6 & 18 \tabularnewline
0.85 & 19 & 19.05 & 19 & 19 & 19 & 19 & 19.95 & 19 \tabularnewline
0.9 & 19.8 & 20.7 & 20 & 20 & 19.9 & 20 & 20.3 & 21 \tabularnewline
0.95 & 21.8 & 23.35 & 23 & 23 & 21.9 & 21 & 23.65 & 23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=131009&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.05[/C][C]3.6[/C][C]3.65[/C][C]4[/C][C]4[/C][C]4.55[/C][C]4[/C][C]3.35[/C][C]4[/C][/ROW]
[ROW][C]0.1[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.15[/C][C]5[/C][C]5[/C][C]5[/C][C]5[/C][C]5.65[/C][C]5[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]0.2[/C][C]6.8[/C][C]7.2[/C][C]8[/C][C]8[/C][C]8[/C][C]6[/C][C]6.8[/C][C]8[/C][/ROW]
[ROW][C]0.25[/C][C]8[/C][C]8.25[/C][C]8[/C][C]8.5[/C][C]8.75[/C][C]8[/C][C]8.75[/C][C]8[/C][/ROW]
[ROW][C]0.3[/C][C]9[/C][C]9[/C][C]9[/C][C]9[/C][C]9.3[/C][C]9[/C][C]9[/C][C]9[/C][/ROW]
[ROW][C]0.35[/C][C]10.2[/C][C]10.55[/C][C]11[/C][C]11[/C][C]10.85[/C][C]10[/C][C]10.45[/C][C]11[/C][/ROW]
[ROW][C]0.4[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][C]11[/C][/ROW]
[ROW][C]0.45[/C][C]11.8[/C][C]12.7[/C][C]13[/C][C]13[/C][C]12.9[/C][C]11[/C][C]11.3[/C][C]13[/C][/ROW]
[ROW][C]0.5[/C][C]13[/C][C]13.5[/C][C]13[/C][C]13.5[/C][C]13.5[/C][C]13[/C][C]13.5[/C][C]13.5[/C][/ROW]
[ROW][C]0.55[/C][C]14[/C][C]14.15[/C][C]14[/C][C]14[/C][C]14.05[/C][C]14[/C][C]14.85[/C][C]14[/C][/ROW]
[ROW][C]0.6[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][C]15[/C][/ROW]
[ROW][C]0.65[/C][C]15[/C][C]15.45[/C][C]15[/C][C]15[/C][C]15.15[/C][C]15[/C][C]15.55[/C][C]15[/C][/ROW]
[ROW][C]0.7[/C][C]16.4[/C][C]17[/C][C]17[/C][C]17[/C][C]16.7[/C][C]16[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.75[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][C]17[/C][/ROW]
[ROW][C]0.8[/C][C]17.6[/C][C]18.4[/C][C]18[/C][C]18[/C][C]17.8[/C][C]18[/C][C]18.6[/C][C]18[/C][/ROW]
[ROW][C]0.85[/C][C]19[/C][C]19.05[/C][C]19[/C][C]19[/C][C]19[/C][C]19[/C][C]19.95[/C][C]19[/C][/ROW]
[ROW][C]0.9[/C][C]19.8[/C][C]20.7[/C][C]20[/C][C]20[/C][C]19.9[/C][C]20[/C][C]20.3[/C][C]21[/C][/ROW]
[ROW][C]0.95[/C][C]21.8[/C][C]23.35[/C][C]23[/C][C]23[/C][C]21.9[/C][C]21[/C][C]23.65[/C][C]23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=131009&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=131009&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.053.63.65444.5543.354
0.155555555
0.1555555.65555
0.26.87.288866.88
0.2588.2588.58.7588.758
0.399999.3999
0.3510.210.55111110.851010.4511
0.41111111111111111
0.4511.812.7131312.91111.313
0.51313.51313.513.51313.513.5
0.551414.15141414.051414.8514
0.61515151515151515
0.651515.45151515.151515.5515
0.716.417171716.7161717
0.751717171717171717
0.817.618.4181817.81818.618
0.851919.051919191919.9519
0.919.820.7202019.92020.321
0.9521.823.35232321.92123.6523



Parameters (Session):
par1 = 8 ; par2 = 0 ;
Parameters (R input):
R code (references can be found in the software module):
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)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='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('method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
a<-table.element(a,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
a<-table.element(a,hyperlink('method_3.htm','Empirical Distribution Function',''),1,TRUE)
a<-table.element(a,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
a<-table.element(a,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
a<-table.element(a,hyperlink('method_6.htm','Closest Observation',''),1,TRUE)
a<-table.element(a,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
a<-table.element(a,hyperlink('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='mytable.tab')