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R Software Module

rwasp_percentiles.wasp

Title produced by software

Percentiles

Date of computation

Fri, 04 Dec 2009 11:04:34 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259950102csftxgb5q8m4u5c.htm/, Retrieved Sun, 28 Apr 2024 08:28:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63995, Retrieved Sun, 28 Apr 2024 08:28:17 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

110

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [(Partial) Autocorrelation Function] [] [2009-11-27 14:47:30] [b98453cac15ba1066b407e146608df68]
- R PD    [(Partial) Autocorrelation Function] [] [2009-12-01 17:18:57] [ee35698a38947a6c6c039b1e3deafc05]
- RMPD        [Percentiles] [] [2009-12-04 18:04:34] [6e025b5370bdd3143fbe248190b38274] [Current]

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Dataseries X:

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Boxplots

-0.166646532498191
1.45446038541130
1.24444430192058
0.546892625557094
0.092483227606145
-2.05501754615136
0.000968248628828662
0.358669943697234
-1.96248894495211
-0.760430072823699
-2.15129744720461
-2.27687543769387
0.429721920121495
0.251798319320420
0.0538261247459631
0.420389951364929
-1.15014586681924
2.33969562462212
-0.966522812333634
0.425357986510933
-0.104720863173985
1.13756910736265
-1.74841664563892
0.376320447670808
-0.453576483938847
-0.0583257566372856
0.626862560020816
1.76273423439776
-0.807266008249354
0.0336200512961656
-0.424808300981018
-0.228845362094883
0.685587835348772
-0.371904564411849
-2.78446258435140
-0.160077329447092
0.646594885985588
0.0512569903857203
-0.246501767270706
0.0423722347299893
1.86131887227694
-0.629009045704846
-0.616706418345441
-1.06533038224853
0.887005708246265
-0.181852725894869
0.0868758116841302
-0.950195127295966

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63995&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63995&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63995&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 Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Percentiles - Ungrouped Data
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)
0.05	-2.226644	-2.220365	-2.151297	-2.151297	-2.117599	-2.276875	-2.207808	-2.276875
0.1	-1.980995	-1.971742	-1.962489	-1.962489	-1.812638	-1.962489	-2.045765	-1.962489
0.15	-1.133183	-1.12046	-1.06533	-1.06533	-1.06039	-1.150146	-1.095016	-1.150146
0.2	-0.956726	-0.953461	-0.950195	-0.950195	-0.893023	-0.950195	-0.963257	-0.950195
0.25	-0.76043	-0.727575	-0.76043	-0.69472	-0.661864	-0.76043	-0.661864	-0.76043
0.3	-0.551454	-0.502515	-0.453576	-0.453576	-0.4507	-0.616706	-0.567767	-0.453576
0.35	-0.382485	-0.353094	-0.371905	-0.371905	-0.315473	-0.371905	-0.265312	-0.371905
0.4	-0.219447	-0.20065	-0.181853	-0.181853	-0.191251	-0.228845	-0.210048	-0.181853
0.45	-0.162705	-0.15731	-0.160077	-0.160077	-0.151774	-0.160077	-0.107489	-0.160077
0.5	-0.058326	-0.028679	-0.058326	-0.028679	-0.028679	-0.058326	-0.028679	-0.028679
0.55	0.037121	0.041935	0.042372	0.042372	0.041059	0.03362	0.034058	0.042372
0.6	0.053312	0.067046	0.053826	0.053826	0.060436	0.053826	0.073656	0.053826
0.65	0.124346	0.227901	0.251798	0.251798	0.180107	0.092483	0.11638	0.251798
0.7	0.36926	0.389541	0.37632	0.37632	0.374555	0.37632	0.407169	0.37632
0.75	0.425358	0.428631	0.425358	0.42754	0.426449	0.425358	0.426449	0.429722
0.8	0.578881	0.630809	0.626863	0.626863	0.594875	0.546893	0.642648	0.626863
0.85	0.677789	0.816509	0.685588	0.685588	0.683638	0.685588	0.756084	0.887006
0.9	1.158944	1.265446	1.244444	1.244444	1.169632	1.137569	1.433459	1.244444
0.95	1.639425	1.816956	1.762734	1.762734	1.654838	1.762734	1.807097	1.861319

\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 & -2.226644 & -2.220365 & -2.151297 & -2.151297 & -2.117599 & -2.276875 & -2.207808 & -2.276875 \tabularnewline
0.1 & -1.980995 & -1.971742 & -1.962489 & -1.962489 & -1.812638 & -1.962489 & -2.045765 & -1.962489 \tabularnewline
0.15 & -1.133183 & -1.12046 & -1.06533 & -1.06533 & -1.06039 & -1.150146 & -1.095016 & -1.150146 \tabularnewline
0.2 & -0.956726 & -0.953461 & -0.950195 & -0.950195 & -0.893023 & -0.950195 & -0.963257 & -0.950195 \tabularnewline
0.25 & -0.76043 & -0.727575 & -0.76043 & -0.69472 & -0.661864 & -0.76043 & -0.661864 & -0.76043 \tabularnewline
0.3 & -0.551454 & -0.502515 & -0.453576 & -0.453576 & -0.4507 & -0.616706 & -0.567767 & -0.453576 \tabularnewline
0.35 & -0.382485 & -0.353094 & -0.371905 & -0.371905 & -0.315473 & -0.371905 & -0.265312 & -0.371905 \tabularnewline
0.4 & -0.219447 & -0.20065 & -0.181853 & -0.181853 & -0.191251 & -0.228845 & -0.210048 & -0.181853 \tabularnewline
0.45 & -0.162705 & -0.15731 & -0.160077 & -0.160077 & -0.151774 & -0.160077 & -0.107489 & -0.160077 \tabularnewline
0.5 & -0.058326 & -0.028679 & -0.058326 & -0.028679 & -0.028679 & -0.058326 & -0.028679 & -0.028679 \tabularnewline
0.55 & 0.037121 & 0.041935 & 0.042372 & 0.042372 & 0.041059 & 0.03362 & 0.034058 & 0.042372 \tabularnewline
0.6 & 0.053312 & 0.067046 & 0.053826 & 0.053826 & 0.060436 & 0.053826 & 0.073656 & 0.053826 \tabularnewline
0.65 & 0.124346 & 0.227901 & 0.251798 & 0.251798 & 0.180107 & 0.092483 & 0.11638 & 0.251798 \tabularnewline
0.7 & 0.36926 & 0.389541 & 0.37632 & 0.37632 & 0.374555 & 0.37632 & 0.407169 & 0.37632 \tabularnewline
0.75 & 0.425358 & 0.428631 & 0.425358 & 0.42754 & 0.426449 & 0.425358 & 0.426449 & 0.429722 \tabularnewline
0.8 & 0.578881 & 0.630809 & 0.626863 & 0.626863 & 0.594875 & 0.546893 & 0.642648 & 0.626863 \tabularnewline
0.85 & 0.677789 & 0.816509 & 0.685588 & 0.685588 & 0.683638 & 0.685588 & 0.756084 & 0.887006 \tabularnewline
0.9 & 1.158944 & 1.265446 & 1.244444 & 1.244444 & 1.169632 & 1.137569 & 1.433459 & 1.244444 \tabularnewline
0.95 & 1.639425 & 1.816956 & 1.762734 & 1.762734 & 1.654838 & 1.762734 & 1.807097 & 1.861319 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63995&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]-2.226644[/C][C]-2.220365[/C][C]-2.151297[/C][C]-2.151297[/C][C]-2.117599[/C][C]-2.276875[/C][C]-2.207808[/C][C]-2.276875[/C][/ROW]
[ROW][C]0.1[/C][C]-1.980995[/C][C]-1.971742[/C][C]-1.962489[/C][C]-1.962489[/C][C]-1.812638[/C][C]-1.962489[/C][C]-2.045765[/C][C]-1.962489[/C][/ROW]
[ROW][C]0.15[/C][C]-1.133183[/C][C]-1.12046[/C][C]-1.06533[/C][C]-1.06533[/C][C]-1.06039[/C][C]-1.150146[/C][C]-1.095016[/C][C]-1.150146[/C][/ROW]
[ROW][C]0.2[/C][C]-0.956726[/C][C]-0.953461[/C][C]-0.950195[/C][C]-0.950195[/C][C]-0.893023[/C][C]-0.950195[/C][C]-0.963257[/C][C]-0.950195[/C][/ROW]
[ROW][C]0.25[/C][C]-0.76043[/C][C]-0.727575[/C][C]-0.76043[/C][C]-0.69472[/C][C]-0.661864[/C][C]-0.76043[/C][C]-0.661864[/C][C]-0.76043[/C][/ROW]
[ROW][C]0.3[/C][C]-0.551454[/C][C]-0.502515[/C][C]-0.453576[/C][C]-0.453576[/C][C]-0.4507[/C][C]-0.616706[/C][C]-0.567767[/C][C]-0.453576[/C][/ROW]
[ROW][C]0.35[/C][C]-0.382485[/C][C]-0.353094[/C][C]-0.371905[/C][C]-0.371905[/C][C]-0.315473[/C][C]-0.371905[/C][C]-0.265312[/C][C]-0.371905[/C][/ROW]
[ROW][C]0.4[/C][C]-0.219447[/C][C]-0.20065[/C][C]-0.181853[/C][C]-0.181853[/C][C]-0.191251[/C][C]-0.228845[/C][C]-0.210048[/C][C]-0.181853[/C][/ROW]
[ROW][C]0.45[/C][C]-0.162705[/C][C]-0.15731[/C][C]-0.160077[/C][C]-0.160077[/C][C]-0.151774[/C][C]-0.160077[/C][C]-0.107489[/C][C]-0.160077[/C][/ROW]
[ROW][C]0.5[/C][C]-0.058326[/C][C]-0.028679[/C][C]-0.058326[/C][C]-0.028679[/C][C]-0.028679[/C][C]-0.058326[/C][C]-0.028679[/C][C]-0.028679[/C][/ROW]
[ROW][C]0.55[/C][C]0.037121[/C][C]0.041935[/C][C]0.042372[/C][C]0.042372[/C][C]0.041059[/C][C]0.03362[/C][C]0.034058[/C][C]0.042372[/C][/ROW]
[ROW][C]0.6[/C][C]0.053312[/C][C]0.067046[/C][C]0.053826[/C][C]0.053826[/C][C]0.060436[/C][C]0.053826[/C][C]0.073656[/C][C]0.053826[/C][/ROW]
[ROW][C]0.65[/C][C]0.124346[/C][C]0.227901[/C][C]0.251798[/C][C]0.251798[/C][C]0.180107[/C][C]0.092483[/C][C]0.11638[/C][C]0.251798[/C][/ROW]
[ROW][C]0.7[/C][C]0.36926[/C][C]0.389541[/C][C]0.37632[/C][C]0.37632[/C][C]0.374555[/C][C]0.37632[/C][C]0.407169[/C][C]0.37632[/C][/ROW]
[ROW][C]0.75[/C][C]0.425358[/C][C]0.428631[/C][C]0.425358[/C][C]0.42754[/C][C]0.426449[/C][C]0.425358[/C][C]0.426449[/C][C]0.429722[/C][/ROW]
[ROW][C]0.8[/C][C]0.578881[/C][C]0.630809[/C][C]0.626863[/C][C]0.626863[/C][C]0.594875[/C][C]0.546893[/C][C]0.642648[/C][C]0.626863[/C][/ROW]
[ROW][C]0.85[/C][C]0.677789[/C][C]0.816509[/C][C]0.685588[/C][C]0.685588[/C][C]0.683638[/C][C]0.685588[/C][C]0.756084[/C][C]0.887006[/C][/ROW]
[ROW][C]0.9[/C][C]1.158944[/C][C]1.265446[/C][C]1.244444[/C][C]1.244444[/C][C]1.169632[/C][C]1.137569[/C][C]1.433459[/C][C]1.244444[/C][/ROW]
[ROW][C]0.95[/C][C]1.639425[/C][C]1.816956[/C][C]1.762734[/C][C]1.762734[/C][C]1.654838[/C][C]1.762734[/C][C]1.807097[/C][C]1.861319[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63995&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63995&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
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)
0.05	-2.226644	-2.220365	-2.151297	-2.151297	-2.117599	-2.276875	-2.207808	-2.276875
0.1	-1.980995	-1.971742	-1.962489	-1.962489	-1.812638	-1.962489	-2.045765	-1.962489
0.15	-1.133183	-1.12046	-1.06533	-1.06533	-1.06039	-1.150146	-1.095016	-1.150146
0.2	-0.956726	-0.953461	-0.950195	-0.950195	-0.893023	-0.950195	-0.963257	-0.950195
0.25	-0.76043	-0.727575	-0.76043	-0.69472	-0.661864	-0.76043	-0.661864	-0.76043
0.3	-0.551454	-0.502515	-0.453576	-0.453576	-0.4507	-0.616706	-0.567767	-0.453576
0.35	-0.382485	-0.353094	-0.371905	-0.371905	-0.315473	-0.371905	-0.265312	-0.371905
0.4	-0.219447	-0.20065	-0.181853	-0.181853	-0.191251	-0.228845	-0.210048	-0.181853
0.45	-0.162705	-0.15731	-0.160077	-0.160077	-0.151774	-0.160077	-0.107489	-0.160077
0.5	-0.058326	-0.028679	-0.058326	-0.028679	-0.028679	-0.058326	-0.028679	-0.028679
0.55	0.037121	0.041935	0.042372	0.042372	0.041059	0.03362	0.034058	0.042372
0.6	0.053312	0.067046	0.053826	0.053826	0.060436	0.053826	0.073656	0.053826
0.65	0.124346	0.227901	0.251798	0.251798	0.180107	0.092483	0.11638	0.251798
0.7	0.36926	0.389541	0.37632	0.37632	0.374555	0.37632	0.407169	0.37632
0.75	0.425358	0.428631	0.425358	0.42754	0.426449	0.425358	0.426449	0.429722
0.8	0.578881	0.630809	0.626863	0.626863	0.594875	0.546893	0.642648	0.626863
0.85	0.677789	0.816509	0.685588	0.685588	0.683638	0.685588	0.756084	0.887006
0.9	1.158944	1.265446	1.244444	1.244444	1.169632	1.137569	1.433459	1.244444
0.95	1.639425	1.816956	1.762734	1.762734	1.654838	1.762734	1.807097	1.861319

Figure 1

PNG link

Postscript link

PDF link

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,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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code