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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_notchedbox1.wasp
Title produced by softwareNotched Boxplots
Date of computationThu, 07 Dec 2017 16:31:56 +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/07/t1512660835e00vgsoykfgr6j0.htm/, Retrieved Tue, 21 Apr 2026 00:45:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308728, Retrieved Tue, 21 Apr 2026 00:45:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact292

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Notched Boxplots] [notched boxplot] [2017-12-07 15:31:56] [154f1e25dcfb4432ca4e5083a6df5da0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4	3	4	3	3
3	4	4	3	4
4	4	4	3	4
4	4	4	5	4
4	4	2	3	2
4	4	4	4	4
4	5	4	3	4
4	4	4	4	4
4	3	4	4	4
4	4	4	4	4
4	4	4	3	4
4	4	4	4	4
4	4	3	4	3
4	4	4	4	4
4	3	4	2	4
5	5	5	5	5
4	4	4	4	4
5	5	5	5	5
5	5	5	5	3
4	5	4	4	4
5	5	4	4	4
2	2	3	2	4
4	4	4	4	4
4	4	3	2	3
4	4	3	3	4
4	3	3	4	4
4	5	5	4	5
4	3	5	5	4
4	4	4	3	4
4	3	4	3	4
4	4	4	4	3
3	3	4	2	4
3	3	3	3	2
5	5	4	4	4
4	3	3	3	4
3	3	4	4	4
2	2	3	3	2
4	4	4	3	3
3	3	3	3	3
3	3	4	4	4
4	3	5	5	5
5	4	4	5	4
3	3	5	3	3
4	4	5	3	4
4	4	4	4	4
4	3	3	3	3
5	4	5	5	4
4	4	4	3	3
4	3	5	4	5
4	4	4	4	4
5	4	5	5	5
3	2	3	3	3
4	4	5	5	4
4	4	4	3	3
4	4	4	3	4
4	4	3	4	4
4	4	4	4	4
4	5	4	3	4
2	2	3	4	3
4	4	5	4	4
4	4	3	2	3
4	4	4	3	2
4	4	4	3	2
5	5	5	5	5
4	4	3	2	3
4	5	4	4	5
5	5	4	3	3
5	4	5	4	4
5	5	5	5	5
2	2	3	3	4
2	2	3	3	3
4	4	4	4	4
5	5	4	4	4
5	5	4	4	4
4	3	4	4	4
3	3	4	3	3
4	5	3	3	3
4	3	5	3	4
4	4	4	4	4
4	4	4	4	4
4	4	3	3	2
2	3	3	4	4
4	4	4	3	3
5	5	5	5	5
5	5	5	4	4
4	4	4	4	3
4	4	4	4	4
4	4	4	3	4
3	3	4	3	4
4	4	5	4	5
4	4	5	5	4
4	4	5	4	5
4	4	4	4	4
4	4	4	3	3
3	4	4	4	4
3	2	4	3	4
5	5	5	5	5
3	3	4	2	3
4	3	4	3	4
4	4	5	5	4
4	4	4	3	3
4	3	4	4	4
4	4	4	3	3
4	4	4	4	4
4	4	5	4	4
4	4	5	4	4
4	4	4	4	4
4	4	4	4	4
4	3	3	3	3
4	4	3	4	3
2	2	3	2	2
2	3	4	4	4
4	4	4	4	4
4	4	4	4	4
4	5	5	4	4
5	5	4	4	4
5	5	5	5	5
3	2	4	2	2
3	2	2	3	2
4	4	3	2	4
4	4	4	3	4
4	4	4	3	4
2	2	2	2	2
3	2	2	2	2
3	3	3	2	3
5	4	3	4	4
4	4	4	4	4
4	5	5	4	4
3	3	4	2	3
3	3	4	2	4
1	2	3	2	4
4	4	4	2	4
5	5	4	4	4
3	2	3	2	2
3	3	5	4	4
4	4	4	2	4
4	3	4	3	3
3	3	4	3	4
2	3	2	3	3
4	4	4	4	4
1	1	2	1	1
4	5	5	4	4
3	3	5	4	4
2	3	4	3	3
3	2	4	4	4
2	2	2	2	2
3	2	3	3	2
5	4	4	5	4
4	4	4	4	4
4	4	4	3	3
4	4	4	3	3
4	4	4	3	3
3	3	3	2	3
4	4	5	3	3
3	3	4	4	4
5	5	5	3	4
4	4	4	4	4
4	4	4	3	4
4	4	4	4	4
3	3	4	3	3
4	4	4	4	4
4	3	5	4	4
2	2	4	3	3
2	2	3	2	2
3	2	3	4	4
4	3	4	3	3
4	4	4	4	4
5	5	4	3	4
3	3	4	3	3
4	4	4	4	4
4	4	4	3	4
5	5	5	5	4
4	4	4	4	4
4	5	4	4	4
4	4	3	4	3
3	3	4	4	3
4	4	4	4	4
4	3	4	4	4
4	4	4	4	4
3	4	3	2	3
4	5	4	4	3
2	2	3	2	3
1	2	3	1	2
5	4	4	5	4
3	3	4	3	4
4	4	3	3	3
5	5	4	4	3
5	5	5	4	5
4	4	3	3	3
4	4	5	4	4
3	4	4	4	4
4	3	5	3	4
4	4	3	4	4
2	3	3	2	4
3	3	3	2	2
3	3	3	4	3
3	4	4	4	4
4	4	4	3	4
4	4	4	3	4
4	4	4	3	4
4	4	4	4	5
3	2	4	3	4
2	2	3	2	3
4	4	4	4	3
3	3	3	3	4
4	4	4	4	4
4	3	3	2	3
4	4	4	4	5
5	5	3	3	4
4	4	3	4	4
4	4	3	4	4
2	2	3	2	3
4	4	5	4	4
3	3	4	4	4
4	4	4	3	2
4	5	5	5	5
4	4	4	4	4
4	4	5	5	4
1	5	3	2	2
4	4	5	3	3
4	3	4	2	4
1	2	3	2	2
4	3	4	4	3
3	4	4	3	4
4	4	4	3	3
3	2	3	2	4
4	5	4	3	4
4	4	4	4	4
3	4	4	3	3
5	5	5	4	4
3	3	3	4	3
3	2	4	3	3
4	4	4	4	4
4	3	4	4	4
4	4	4	4	4
4	4	4	4	4
4	4	4	4	4
4	4	4	4	4
4	4	3	2	2
4	4	5	4	5
3	3	3	3	3
3	4	4	2	2
5	5	5	4	4
2	2	2	2	2
4	3	4	4	4
2	4	4	2	2
2	2	2	2	2
2	2	2	2	2
4	4	4	4	4
3	3	4	3	3
3	3	3	3	3
4	5	3	4	4
4	5	5	4	5
1	1	2	2	2
3	3	3	3	3
4	4	4	3	4
3	3	3	3	3
4	3	2	3	3
2	2	2	2	2
3	3	3	4	3
3	3	2	2	2
3	3	3	3	3
4	4	4	4	4
5	5	4	4	4
5	4	4	4	5
4	4	4	4	4
5	5	4	4	4
4	2	4	3	3
4	4	3	2	4
4	4	4	4	4
4	4	4	5	5
3	2	2	2	2
5	5	5	4	4
5	5	4	4	4
5	5	4	4	5
2	3	2	1	3
4	4	4	4	4
4	4	3	4	3
4	3	3	3	3
4	4	4	4	4
3	2	3	2	2
4	4	5	3	2
4	4	4	4	3
5	5	5	5	5
3	3	3	3	4
4	4	4	4	4
4	4	4	3	3
4	4	4	4	4
4	3	4	3	4
3	3	3	4	4
3	3	4	4	4
5	5	5	5	5
3	3	4	4	4
4	4	3	4	4
4	4	3	3	3
4	4	4	4	3
4	4	3	4	4
4	4	3	3	3
4	4	5	5	5
4	4	4	4	4
4	4	3	3	3
4	4	4	4	4
4	4	4	4	4
3	4	3	3	3
4	4	3	3	3
4	4	4	3	4
5	5	4	4	4
4	4	4	4	4
4	4	4	4	4
4	3	4	4	4
4	3	2	2	2
3	3	4	3	4
4	4	4	4	4
4	3	3	3	3
3	3	4	4	3
3	3	3	3	3
4	4	4	3	3
3	3	4	3	3
4	4	3	3	3
5	5	4	4	4
4	3	4	3	4
4	4	3	3	3
3	3	3	3	3
4	4	4	4	4
4	3	2	2	2
4	4	4	3	3
4	4	4	4	4
4	4	4	3	4
4	4	4	5	5
3	2	3	2	3
3	3	3	3	3
4	4	3	3	4
4	4	3	3	4
4	3	4	3	3
3	3	4	3	4
4	2	3	3	4
4	4	4	4	4
4	4	5	5	4
4	3	3	3	4
2	1	3	2	3
2	2	3	2	3
4	3	2	2	3
3	3	3	4	4
2	2	2	2	2
3	3	3	3	3
4	4	4	4	4
4	3	4	4	4
3	2	4	4	4
4	3	3	3	3
5	5	5	5	5
5	5	5	5	5
4	4	4	4	5
4	4	3	3	3
4	4	4	4	4
4	4	4	2	3
5	5	5	5	5
4	3	3	4	4
4	4	3	4	4
3	3	2	2	2
4	5	5	5	4
3	3	3	4	4
4	3	3	2	3
3	3	3	3	4
2	2	4	2	4
4	4	3	3	3
3	3	2	3	3
4	4	3	3	3
3	3	3	4	3
4	4	3	4	4
5	5	4	5	5
4	4	4	4	4
3	3	3	3	3
5	5	4	4	5
4	3	4	2	2
4	4	4	4	4
4	4	5	4	5
4	4	3	3	3
4	4	4	3	3
3	4	4	4	4
4	4	4	4	4
4	3	3	3	3
3	3	3	3	3
4	4	4	4	4
5	5	5	5	5
4	4	4	4	4
4	4	4	3	4
4	3	3	2	3
4	4	4	3	4
3	3	4	4	3
3	2	3	4	3
4	4	4	4	4
4	3	3	3	3
4	3	4	3	4
5	5	5	5	5
4	4	5	4	5
4	4	1	3	2
4	4	3	3	3
4	4	3	3	3
2	2	2	3	3
3	3	2	2	3
4	4	3	3	4
3	4	2	2	2
3	3	3	3	3
4	4	3	3	3
2	2	3	2	2
4	4	3	4	4
2	2	4	3	2
4	4	4	4	4
4	4	3	3	3
4	4	3	3	4
3	3	4	4	3
3	3	2	2	3
2	3	4	4	4
4	2	3	3	2
4	3	4	4	5
4	4	4	3	4
4	3	4	5	2
3	3	4	4	4
2	2	4	3	4
4	4	4	4	4
1	1	1	1	1
3	3	4	3	3
3	3	4	4	5
3	3	4	2	4
1	3	2	2	2
4	3	4	4	3
4	4	4	4	4
3	3	3	3	3
4	4	3	3	4
4	5	5	5	5
2	2	3	3	3
3	3	2	2	2
4	4	3	3	3
4	3	5	5	5
5	5	5	5	5
3	3	3	3	3
3	4	3	4	4
4	4	3	3	3
4	4	4	3	4
4	4	3	3	4
4	4	3	3	3
3	2	2	2	2
3	3	4	4	4
4	4	4	4	5
4	4	4	4	4
4	4	4	4	4

Tables (Output of Computation)





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=308728&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=308728&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308728&T=0

As an alternative you can also use a QR Code:  
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






Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
A23445
B23445
C23445
D23345
E23445

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
A & 2 & 3 & 4 & 4 & 5 \tabularnewline
B & 2 & 3 & 4 & 4 & 5 \tabularnewline
C & 2 & 3 & 4 & 4 & 5 \tabularnewline
D & 2 & 3 & 3 & 4 & 5 \tabularnewline
E & 2 & 3 & 4 & 4 & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308728&T=1

[TABLE]
[ROW][C]Boxplot statistics[/C][/ROW]
[ROW][C]Variable[/C][C]lower whisker[/C][C]lower hinge[/C][C]median[/C][C]upper hinge[/C][C]upper whisker[/C][/ROW]
[ROW][C]A[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]B[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]D[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]E[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308728&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308728&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
A23445
B23445
C23445
D23345
E23445






Boxplot Notches
Variablelower boundmedianupper bound
A3.9251848316379644.07481516836204
B3.9251848316379644.07481516836204
C3.9251848316379644.07481516836204
D2.9251848316379633.07481516836204
E3.9251848316379644.07481516836204

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
A & 3.92518483163796 & 4 & 4.07481516836204 \tabularnewline
B & 3.92518483163796 & 4 & 4.07481516836204 \tabularnewline
C & 3.92518483163796 & 4 & 4.07481516836204 \tabularnewline
D & 2.92518483163796 & 3 & 3.07481516836204 \tabularnewline
E & 3.92518483163796 & 4 & 4.07481516836204 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308728&T=2

[TABLE]
[ROW][C]Boxplot Notches[/C][/ROW]
[ROW][C]Variable[/C][C]lower bound[/C][C]median[/C][C]upper bound[/C][/ROW]
[ROW][C]A[/C][C]3.92518483163796[/C][C]4[/C][C]4.07481516836204[/C][/ROW]
[ROW][C]B[/C][C]3.92518483163796[/C][C]4[/C][C]4.07481516836204[/C][/ROW]
[ROW][C]C[/C][C]3.92518483163796[/C][C]4[/C][C]4.07481516836204[/C][/ROW]
[ROW][C]D[/C][C]2.92518483163796[/C][C]3[/C][C]3.07481516836204[/C][/ROW]
[ROW][C]E[/C][C]3.92518483163796[/C][C]4[/C][C]4.07481516836204[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308728&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308728&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Boxplot Notches
Variablelower boundmedianupper bound
A3.9251848316379644.07481516836204
B3.9251848316379644.07481516836204
C3.9251848316379644.07481516836204
D2.9251848316379633.07481516836204
E3.9251848316379644.07481516836204


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ; par2 = no ;
Parameters (R input):
par1 = grey ; par2 = no ;
R code (references can be found in the software module):
par2 <- 'no'
par1 <- 'grey'
if(par2=='yes') {
z <- na.omit(as.data.frame(t(y)))
} else {
z <- as.data.frame(t(y))
}
bitmap(file='test1.png')
(r<-boxplot(z ,xlab=xlab,ylab=ylab,main=main,notch=TRUE,col=par1))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot statistics',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,'lower whisker',1,TRUE)
a<-table.element(a,'lower hinge',1,TRUE)
a<-table.element(a,'median',1,TRUE)
a<-table.element(a,'upper hinge',1,TRUE)
a<-table.element(a,'upper whisker',1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
for (j in 1:5)
{
a<-table.element(a,r$stats[j,i])
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Notches',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,'lower bound',1,TRUE)
a<-table.element(a,'median',1,TRUE)
a<-table.element(a,'upper bound',1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,r$conf[1,i])
a<-table.element(a,r$stats[3,i])
a<-table.element(a,r$conf[2,i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')