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Author's title

Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationSat, 09 Dec 2017 21:33:24 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/09/t1512851646vng1u0jhobznoqz.htm/, Retrieved Mon, 13 May 2024 22:12:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308886, Retrieved Mon, 13 May 2024 22:12:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [] [2017-12-09 20:33:24] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
3,2
3,2
3,0
3,0
3,0
3,9
3,0
3,7
3,0
3,5
4,0
4,0
4,0
3,0
3,7
3,0
3,0
3,0
3,0
3,0
3,0
3,1
3,0
3,0
3,0
3,0
3,9
3,6
4,0
3,0
3,0
3,3
3,0
3,0
3,0
3,8
3,7
3,4
3,0
3,7
3,0
4,0
3,8
4,0




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308886&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308886&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308886&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







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)
0.0533333333
0.133333333
0.1533333333
0.233333333
0.2533333333
0.333333333
0.3533333333
0.433333333
0.4533333333
0.533333333
0.553.123.1753.23.23.1653.13.1253.2
0.63.243.33.33.33.283.23.33.3
0.653.463.5253.53.53.4953.53.5753.5
0.73.683.73.73.73.73.73.73.7
0.753.73.73.73.73.73.73.73.7
0.83.83.83.83.83.83.83.83.8
0.853.93.9253.93.93.93.93.9753.9
0.944444444
0.9544444444

\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 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.1 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.15 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.2 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.25 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.35 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.4 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.45 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.5 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \tabularnewline
0.55 & 3.12 & 3.175 & 3.2 & 3.2 & 3.165 & 3.1 & 3.125 & 3.2 \tabularnewline
0.6 & 3.24 & 3.3 & 3.3 & 3.3 & 3.28 & 3.2 & 3.3 & 3.3 \tabularnewline
0.65 & 3.46 & 3.525 & 3.5 & 3.5 & 3.495 & 3.5 & 3.575 & 3.5 \tabularnewline
0.7 & 3.68 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 \tabularnewline
0.75 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 & 3.7 \tabularnewline
0.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 & 3.8 \tabularnewline
0.85 & 3.9 & 3.925 & 3.9 & 3.9 & 3.9 & 3.9 & 3.975 & 3.9 \tabularnewline
0.9 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
0.95 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308886&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[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.1[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.15[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.2[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.25[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.35[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.4[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.45[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.5[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][C]3[/C][/ROW]
[ROW][C]0.55[/C][C]3.12[/C][C]3.175[/C][C]3.2[/C][C]3.2[/C][C]3.165[/C][C]3.1[/C][C]3.125[/C][C]3.2[/C][/ROW]
[ROW][C]0.6[/C][C]3.24[/C][C]3.3[/C][C]3.3[/C][C]3.3[/C][C]3.28[/C][C]3.2[/C][C]3.3[/C][C]3.3[/C][/ROW]
[ROW][C]0.65[/C][C]3.46[/C][C]3.525[/C][C]3.5[/C][C]3.5[/C][C]3.495[/C][C]3.5[/C][C]3.575[/C][C]3.5[/C][/ROW]
[ROW][C]0.7[/C][C]3.68[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][/ROW]
[ROW][C]0.75[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][C]3.7[/C][/ROW]
[ROW][C]0.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][C]3.8[/C][/ROW]
[ROW][C]0.85[/C][C]3.9[/C][C]3.925[/C][C]3.9[/C][C]3.9[/C][C]3.9[/C][C]3.9[/C][C]3.975[/C][C]3.9[/C][/ROW]
[ROW][C]0.9[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[ROW][C]0.95[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308886&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308886&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)
0.0533333333
0.133333333
0.1533333333
0.233333333
0.2533333333
0.333333333
0.3533333333
0.433333333
0.4533333333
0.533333333
0.553.123.1753.23.23.1653.13.1253.2
0.63.243.33.33.33.283.23.33.3
0.653.463.5253.53.53.4953.53.5753.5
0.73.683.73.73.73.73.73.73.7
0.753.73.73.73.73.73.73.73.7
0.83.83.83.83.83.83.83.83.8
0.853.93.9253.93.93.93.93.9753.9
0.944444444
0.9544444444



Parameters (Session):
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, 'Weighted Average at Xnp',1,TRUE)
a<-table.element(a, 'Weighted Average at X(n+1)p',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function - Averaging',1,TRUE)
a<-table.element(a, 'Empirical Distribution Function - Interpolation',1,TRUE)
a<-table.element(a, 'Closest Observation',1,TRUE)
a<-table.element(a, 'True Basic - Statistics Graphics Toolkit',1,TRUE)
a<-table.element(a, '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,signif(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')