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Author's title

Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationTue, 11 Dec 2018 03:30:58 +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/2018/Dec/11/t1544495484kbmm8czrboem6a6.htm/, Retrieved Mon, 06 May 2024 13:33:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315838, Retrieved Mon, 06 May 2024 13:33:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [Normal Probabilit...] [2018-12-11 02:30:58] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
-6361
18415
8302
-3876
-5869
-6977
-1861
8022
2593
-3655
-6085
530
-2633
5408
-1599
-1137
-8004
-2223
3993
3018




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315838&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315838&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315838&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 time2 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)
0.1-6977-6915.4-6977-6669-6422.6-6977-6422.6-6977
0.2-6085-6041.8-6085-5977-5912.2-6085-5912.2-6085
0.3-3876-3809.7-3876-3765.5-3721.3-3876-3721.3-3876
0.4-2633-2469-2633-2428-2387-2633-2387-2633
0.5-1861-1730-1861-1730-1730-1861-1730-1730
0.6-1137-136.8-1137-303.5-470.2-1137-470.2530
0.725932890.525932805.52720.525932720.53018
0.83993512539934700.54276399342765408
0.980228274802281628050802280508302

\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
0.1 & -6977 & -6915.4 & -6977 & -6669 & -6422.6 & -6977 & -6422.6 & -6977 \tabularnewline
0.2 & -6085 & -6041.8 & -6085 & -5977 & -5912.2 & -6085 & -5912.2 & -6085 \tabularnewline
0.3 & -3876 & -3809.7 & -3876 & -3765.5 & -3721.3 & -3876 & -3721.3 & -3876 \tabularnewline
0.4 & -2633 & -2469 & -2633 & -2428 & -2387 & -2633 & -2387 & -2633 \tabularnewline
0.5 & -1861 & -1730 & -1861 & -1730 & -1730 & -1861 & -1730 & -1730 \tabularnewline
0.6 & -1137 & -136.8 & -1137 & -303.5 & -470.2 & -1137 & -470.2 & 530 \tabularnewline
0.7 & 2593 & 2890.5 & 2593 & 2805.5 & 2720.5 & 2593 & 2720.5 & 3018 \tabularnewline
0.8 & 3993 & 5125 & 3993 & 4700.5 & 4276 & 3993 & 4276 & 5408 \tabularnewline
0.9 & 8022 & 8274 & 8022 & 8162 & 8050 & 8022 & 8050 & 8302 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315838&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]0.1[/C][C]-6977[/C][C]-6915.4[/C][C]-6977[/C][C]-6669[/C][C]-6422.6[/C][C]-6977[/C][C]-6422.6[/C][C]-6977[/C][/ROW]
[ROW][C]0.2[/C][C]-6085[/C][C]-6041.8[/C][C]-6085[/C][C]-5977[/C][C]-5912.2[/C][C]-6085[/C][C]-5912.2[/C][C]-6085[/C][/ROW]
[ROW][C]0.3[/C][C]-3876[/C][C]-3809.7[/C][C]-3876[/C][C]-3765.5[/C][C]-3721.3[/C][C]-3876[/C][C]-3721.3[/C][C]-3876[/C][/ROW]
[ROW][C]0.4[/C][C]-2633[/C][C]-2469[/C][C]-2633[/C][C]-2428[/C][C]-2387[/C][C]-2633[/C][C]-2387[/C][C]-2633[/C][/ROW]
[ROW][C]0.5[/C][C]-1861[/C][C]-1730[/C][C]-1861[/C][C]-1730[/C][C]-1730[/C][C]-1861[/C][C]-1730[/C][C]-1730[/C][/ROW]
[ROW][C]0.6[/C][C]-1137[/C][C]-136.8[/C][C]-1137[/C][C]-303.5[/C][C]-470.2[/C][C]-1137[/C][C]-470.2[/C][C]530[/C][/ROW]
[ROW][C]0.7[/C][C]2593[/C][C]2890.5[/C][C]2593[/C][C]2805.5[/C][C]2720.5[/C][C]2593[/C][C]2720.5[/C][C]3018[/C][/ROW]
[ROW][C]0.8[/C][C]3993[/C][C]5125[/C][C]3993[/C][C]4700.5[/C][C]4276[/C][C]3993[/C][C]4276[/C][C]5408[/C][/ROW]
[ROW][C]0.9[/C][C]8022[/C][C]8274[/C][C]8022[/C][C]8162[/C][C]8050[/C][C]8022[/C][C]8050[/C][C]8302[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315838&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315838&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)
0.1-6977-6915.4-6977-6669-6422.6-6977-6422.6-6977
0.2-6085-6041.8-6085-5977-5912.2-6085-5912.2-6085
0.3-3876-3809.7-3876-3765.5-3721.3-3876-3721.3-3876
0.4-2633-2469-2633-2428-2387-2633-2387-2633
0.5-1861-1730-1861-1730-1730-1861-1730-1730
0.6-1137-136.8-1137-303.5-470.2-1137-470.2530
0.725932890.525932805.52720.525932720.53018
0.83993512539934700.54276399342765408
0.980228274802281628050802280508302



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')