## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationThu, 13 Feb 2020 18:30:33 +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/2020/Feb/13/t158161515315fpydcneggo19f.htm/, Retrieved Wed, 21 Apr 2021 07:12:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319075, Retrieved Wed, 21 Apr 2021 07:12:49 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsDistribute
Estimated Impact37
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Percentiles] [Spot Speed ] [2020-02-13 17:30:33] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
55
56
61
51
59
51
51
5
68
49
77
32
53
49
28
60
45
42
35
25
29
46
49
58
47
56
40
34
48
35
62
33
40
44
28
57
50
47
64
33
42
30
28
33
22
59
32
55
38



 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server Big Analytics Cloud Computing Center R Framework error message Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319075&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] 0 seconds[/C][/ROW] [ROW] R Server[/C] Big Analytics Cloud Computing Center[/C][/ROW] [ROW] R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319075&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319075&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 0 seconds R Server Big Analytics Cloud Computing Center R Framework error message Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

 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 23.35 23.5 25 25 26.2 22 23.5 23.5 0.1 28 28 28 28 28 28 28 28 0.15 29.35 29.5 30 30 30.4 29 29.5 29.5 0.2 32 32 32 32 32.6 32 32 32 0.25 33 33 33 33 33 33 33 33 0.3 34.7 35 35 35 35 35 35 35 0.35 38.3 39 40 40 39.6 38 39 39 0.4 41.2 42 42 42 42 42 42 42 0.45 44.05 44.5 45 45 44.6 44 44.5 44.5 0.5 46.5 47 47 47 47 47 47 47 0.55 47.95 48.5 48 48 48.4 48 48.5 49 0.6 49 49 49 49 49 49 49 49 0.65 50.85 51 51 51 51 51 51 51 0.7 51.6 53 53 53 52.2 51 53 53 0.75 55 55.5 55 55 55 55 55.5 55.5 0.8 56.2 57 57 57 56.4 56 57 57 0.85 58.65 59 59 59 58.8 59 59 59 0.9 60.1 61 61 61 60.2 60 61 61 0.95 63.1 66 64 64 63.2 64 66 66

\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 & 23.35 & 23.5 & 25 & 25 & 26.2 & 22 & 23.5 & 23.5 \tabularnewline
0.1 & 28 & 28 & 28 & 28 & 28 & 28 & 28 & 28 \tabularnewline
0.15 & 29.35 & 29.5 & 30 & 30 & 30.4 & 29 & 29.5 & 29.5 \tabularnewline
0.2 & 32 & 32 & 32 & 32 & 32.6 & 32 & 32 & 32 \tabularnewline
0.25 & 33 & 33 & 33 & 33 & 33 & 33 & 33 & 33 \tabularnewline
0.3 & 34.7 & 35 & 35 & 35 & 35 & 35 & 35 & 35 \tabularnewline
0.35 & 38.3 & 39 & 40 & 40 & 39.6 & 38 & 39 & 39 \tabularnewline
0.4 & 41.2 & 42 & 42 & 42 & 42 & 42 & 42 & 42 \tabularnewline
0.45 & 44.05 & 44.5 & 45 & 45 & 44.6 & 44 & 44.5 & 44.5 \tabularnewline
0.5 & 46.5 & 47 & 47 & 47 & 47 & 47 & 47 & 47 \tabularnewline
0.55 & 47.95 & 48.5 & 48 & 48 & 48.4 & 48 & 48.5 & 49 \tabularnewline
0.6 & 49 & 49 & 49 & 49 & 49 & 49 & 49 & 49 \tabularnewline
0.65 & 50.85 & 51 & 51 & 51 & 51 & 51 & 51 & 51 \tabularnewline
0.7 & 51.6 & 53 & 53 & 53 & 52.2 & 51 & 53 & 53 \tabularnewline
0.75 & 55 & 55.5 & 55 & 55 & 55 & 55 & 55.5 & 55.5 \tabularnewline
0.8 & 56.2 & 57 & 57 & 57 & 56.4 & 56 & 57 & 57 \tabularnewline
0.85 & 58.65 & 59 & 59 & 59 & 58.8 & 59 & 59 & 59 \tabularnewline
0.9 & 60.1 & 61 & 61 & 61 & 60.2 & 60 & 61 & 61 \tabularnewline
0.95 & 63.1 & 66 & 64 & 64 & 63.2 & 64 & 66 & 66 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319075&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]23.35[/C][C]23.5[/C][C]25[/C][C]25[/C][C]26.2[/C][C]22[/C][C]23.5[/C][C]23.5[/C][/ROW]
[ROW][C]0.1[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][C]28[/C][/ROW]
[ROW][C]0.15[/C][C]29.35[/C][C]29.5[/C][C]30[/C][C]30[/C][C]30.4[/C][C]29[/C][C]29.5[/C][C]29.5[/C][/ROW]
[ROW][C]0.2[/C][C]32[/C][C]32[/C][C]32[/C][C]32[/C][C]32.6[/C][C]32[/C][C]32[/C][C]32[/C][/ROW]
[ROW][C]0.25[/C][C]33[/C][C]33[/C][C]33[/C][C]33[/C][C]33[/C][C]33[/C][C]33[/C][C]33[/C][/ROW]
[ROW][C]0.3[/C][C]34.7[/C][C]35[/C][C]35[/C][C]35[/C][C]35[/C][C]35[/C][C]35[/C][C]35[/C][/ROW]
[ROW][C]0.35[/C][C]38.3[/C][C]39[/C][C]40[/C][C]40[/C][C]39.6[/C][C]38[/C][C]39[/C][C]39[/C][/ROW]
[ROW][C]0.4[/C][C]41.2[/C][C]42[/C][C]42[/C][C]42[/C][C]42[/C][C]42[/C][C]42[/C][C]42[/C][/ROW]
[ROW][C]0.45[/C][C]44.05[/C][C]44.5[/C][C]45[/C][C]45[/C][C]44.6[/C][C]44[/C][C]44.5[/C][C]44.5[/C][/ROW]
[ROW][C]0.5[/C][C]46.5[/C][C]47[/C][C]47[/C][C]47[/C][C]47[/C][C]47[/C][C]47[/C][C]47[/C][/ROW]
[ROW][C]0.55[/C][C]47.95[/C][C]48.5[/C][C]48[/C][C]48[/C][C]48.4[/C][C]48[/C][C]48.5[/C][C]49[/C][/ROW]
[ROW][C]0.6[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][C]49[/C][/ROW]
[ROW][C]0.65[/C][C]50.85[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][C]51[/C][/ROW]
[ROW][C]0.7[/C][C]51.6[/C][C]53[/C][C]53[/C][C]53[/C][C]52.2[/C][C]51[/C][C]53[/C][C]53[/C][/ROW]
[ROW][C]0.75[/C][C]55[/C][C]55.5[/C][C]55[/C][C]55[/C][C]55[/C][C]55[/C][C]55.5[/C][C]55.5[/C][/ROW]
[ROW][C]0.8[/C][C]56.2[/C][C]57[/C][C]57[/C][C]57[/C][C]56.4[/C][C]56[/C][C]57[/C][C]57[/C][/ROW]
[ROW][C]0.85[/C][C]58.65[/C][C]59[/C][C]59[/C][C]59[/C][C]58.8[/C][C]59[/C][C]59[/C][C]59[/C][/ROW]
[ROW][C]0.9[/C][C]60.1[/C][C]61[/C][C]61[/C][C]61[/C][C]60.2[/C][C]60[/C][C]61[/C][C]61[/C][/ROW]
[ROW][C]0.95[/C][C]63.1[/C][C]66[/C][C]64[/C][C]64[/C][C]63.2[/C][C]64[/C][C]66[/C][C]66[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319075&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319075&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 23.35 23.5 25 25 26.2 22 23.5 23.5 0.1 28 28 28 28 28 28 28 28 0.15 29.35 29.5 30 30 30.4 29 29.5 29.5 0.2 32 32 32 32 32.6 32 32 32 0.25 33 33 33 33 33 33 33 33 0.3 34.7 35 35 35 35 35 35 35 0.35 38.3 39 40 40 39.6 38 39 39 0.4 41.2 42 42 42 42 42 42 42 0.45 44.05 44.5 45 45 44.6 44 44.5 44.5 0.5 46.5 47 47 47 47 47 47 47 0.55 47.95 48.5 48 48 48.4 48 48.5 49 0.6 49 49 49 49 49 49 49 49 0.65 50.85 51 51 51 51 51 51 51 0.7 51.6 53 53 53 52.2 51 53 53 0.75 55 55.5 55 55 55 55 55.5 55.5 0.8 56.2 57 57 57 56.4 56 57 57 0.85 58.65 59 59 59 58.8 59 59 59 0.9 60.1 61 61 61 60.2 60 61 61 0.95 63.1 66 64 64 63.2 64 66 66

x <-sort(x[!is.na(x)])q1 <- function(data,n,p,i,f) {np <- n*p;i <<- floor(np)f <<- np - iqvalue <- (1-f)*data[i] + f*data[i+1]}q2 <- function(data,n,p,i,f) {np <- (n+1)*pi <<- floor(np)f <<- np - iqvalue <- (1-f)*data[i] + f*data[i+1]}q3 <- function(data,n,p,i,f) {np <- n*pi <<- floor(np)f <<- np - iif (f==0) {qvalue <- data[i]} else {qvalue <- data[i+1]}}q4 <- function(data,n,p,i,f) {np <- n*pi <<- floor(np)f <<- np - iif (f==0) {qvalue <- (data[i]+data[i+1])/2} else {qvalue <- data[i+1]}}q5 <- function(data,n,p,i,f) {np <- (n-1)*pi <<- floor(np)f <<- np - iif (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+0.5i <<- floor(np)f <<- np - iqvalue <- data[i]}q7 <- function(data,n,p,i,f) {np <- (n+1)*pi <<- floor(np)f <<- np - iif (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)*pi <<- floor(np)f <<- np - iif (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 <- 25mystart <- 25if (lx>10){mystep=10mystart=10}if (lx>20){mystep=5mystart=5}if (lx>50){mystep=2mystart=2}if (lx>=100){mystep=1mystart=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')