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Author

*The author of this computation has been verified*

R Software Module

rwasp_notchedbox1.wasp

Title produced by software

Notched Boxplots

Date of computation

Tue, 18 Oct 2011 13:21:28 -0400

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/2011/Oct/18/t1318958524xjjcnmp4rmoaqpj.htm/, Retrieved Tue, 10 Feb 2026 09:44:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=132376, Retrieved Tue, 10 Feb 2026 09:44:52 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

294

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

-     [Notched Boxplots] [Academic Motivati...] [2010-10-12 12:51:42] [b98453cac15ba1066b407e146608df68]
- R PD    [Notched Boxplots] [WS III-Question 4...] [2011-10-18 17:21:28] [3e388c05c22237d436c48535c44f60bb] [Current]
-    D      [Notched Boxplots] [WS III-Question 4...] [2011-10-18 17:25:22] [7c680a04865e75aa8ab422cdbfd97ac3] 
-    D        [Notched Boxplots] [WS III-Question 4...] [2011-10-18 17:27:23] [7c680a04865e75aa8ab422cdbfd97ac3] 

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Dataseries X:

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Histogram

Boxplots

26	NA	21	NA	21	NA
20	NA	16	NA	15	NA
19	NA	19	NA	18	NA
NA	19	NA	18	NA	11
20	NA	16	NA	8	NA
25	NA	23	NA	19	NA
NA	25	NA	17	NA	4
22	NA	12	NA	20	NA
26	NA	19	NA	16	NA
22	NA	16	NA	14	NA
NA	17	NA	19	NA	10
NA	22	NA	20	NA	13
19	NA	13	NA	14	NA
24	NA	20	NA	8	NA
26	NA	27	NA	23	NA
NA	21	NA	17	NA	11
13	NA	8	NA	9	NA
NA	26	NA	25	NA	24
NA	20	NA	26	NA	5
22	NA	13	NA	15	NA
NA	14	NA	19	NA	5
21	NA	15	NA	19	NA
7	NA	5	NA	6	NA
NA	23	NA	16	NA	13
17	NA	14	NA	11	NA
25	NA	24	NA	17	NA
25	NA	24	NA	17	NA
19	NA	9	NA	5	NA
NA	20	NA	19	NA	9
23	NA	19	NA	15	NA
NA	22	NA	25	NA	17
22	NA	19	NA	17	NA
21	NA	18	NA	20	NA
NA	15	NA	15	NA	12
NA	20	NA	12	NA	7
NA	22	NA	21	NA	16
18	NA	12	NA	7	NA
NA	20	NA	15	NA	14
NA	28	NA	28	NA	24
22	NA	25	NA	15	NA
18	NA	19	NA	15	NA
23	NA	20	NA	10	NA
20	NA	24	NA	14	NA
NA	25	NA	26	NA	18
NA	26	NA	25	NA	12
15	NA	12	NA	9	NA
NA	17	NA	12	NA	9
NA	23	NA	15	NA	8
21	NA	17	NA	18	NA
NA	13	NA	14	NA	10
18	NA	16	NA	17	NA
19	NA	11	NA	14	NA
22	NA	20	NA	16	NA
16	NA	11	NA	10	NA
NA	24	NA	22	NA	19
18	NA	20	NA	10	NA
20	NA	19	NA	14	NA
24	NA	17	NA	10	NA
NA	14	NA	21	NA	4
NA	22	NA	23	NA	19
24	NA	18	NA	9	NA
18	NA	17	NA	12	NA
21	NA	27	NA	16	NA
NA	23	NA	25	NA	11
17	NA	19	NA	18	NA
NA	22	NA	22	NA	11
NA	24	NA	24	NA	24
NA	21	NA	20	NA	17
22	NA	19	NA	18	NA
16	NA	11	NA	9	NA
21	NA	22	NA	19	NA
NA	23	NA	22	NA	18
NA	22	NA	16	NA	12
24	NA	20	NA	23	NA
24	NA	24	NA	22	NA
16	NA	16	NA	14	NA
16	NA	16	NA	14	NA
NA	21	NA	22	NA	16
NA	26	NA	24	NA	23
NA	15	NA	16	NA	7
NA	25	NA	27	NA	10
18	NA	11	NA	12	NA
NA	NA	NA	NA	NA	NA
20	NA	20	NA	12	NA
NA	17	NA	20	NA	17
NA	25	NA	27	NA	21
24	NA	20	NA	16	NA
17	NA	12	NA	11	NA
19	NA	8	NA	14	NA
20	NA	21	NA	13	NA
15	NA	18	NA	9	NA
NA	27	NA	24	NA	19
22	NA	16	NA	13	NA
23	NA	18	NA	19	NA
16	NA	20	NA	13	NA
19	NA	20	NA	13	NA
NA	25	NA	19	NA	13
19	NA	17	NA	14	NA
NA	19	NA	16	NA	12
NA	26	NA	26	NA	22
21	NA	15	NA	11	NA
NA	20	NA	22	NA	5
24	NA	17	NA	18	NA
22	NA	23	NA	19	NA
NA	20	NA	21	NA	14
18	NA	19	NA	15	NA
NA	18	NA	14	NA	12
24	NA	17	NA	19	NA
24	NA	12	NA	15	NA
22	NA	24	NA	17	NA
23	NA	18	NA	8	NA
22	NA	20	NA	10	NA
20	NA	16	NA	12	NA
18	NA	20	NA	12	NA
25	NA	22	NA	20	NA
NA	18	NA	12	NA	12
16	NA	16	NA	12	NA
20	NA	17	NA	14	NA
NA	19	NA	22	NA	6
15	NA	12	NA	10	NA
19	NA	14	NA	18	NA
19	NA	23	NA	18	NA
16	NA	15	NA	7	NA
17	NA	17	NA	18	NA
28	NA	28	NA	9	NA
NA	23	NA	20	NA	17
25	NA	23	NA	22	NA
20	NA	13	NA	11	NA
NA	17	NA	18	NA	15
NA	23	NA	23	NA	17
16	NA	19	NA	15	NA
NA	23	NA	23	NA	22
NA	11	NA	12	NA	9
NA	18	NA	16	NA	13
NA	24	NA	23	NA	20
23	NA	13	NA	14	NA
21	NA	22	NA	14	NA
NA	16	NA	18	NA	12
NA	24	NA	23	NA	20
23	NA	20	NA	20	NA
18	NA	10	NA	8	NA
20	NA	17	NA	17	NA
9	NA	18	NA	9	NA
NA	24	NA	15	NA	18
25	NA	23	NA	22	NA
20	NA	17	NA	10	NA
NA	21	NA	17	NA	13
NA	25	NA	22	NA	15
NA	22	NA	20	NA	18
NA	21	NA	20	NA	18
21	NA	19	NA	12	NA
22	NA	18	NA	12	NA
27	NA	22	NA	20	NA
NA	24	NA	20	NA	12
NA	24	NA	22	NA	16
NA	21	NA	18	NA	16
18	NA	16	NA	18	NA
16	NA	16	NA	16	NA
22	NA	16	NA	13	NA
20	NA	16	NA	17	NA
NA	18	NA	17	NA	13
20	NA	18	NA	17	NA

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	'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
R Framework error message & The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132376&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132376&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132376&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	'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
I1M	13	18	20	23	28
I1F	13	19	22	24	28
I2M	10	16	18	20	25
I2F	12	17	20	23	28
I3M	5	11	14	18	23
I3F	4	11	13	18	24

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1M & 13 & 18 & 20 & 23 & 28 \tabularnewline
I1F & 13 & 19 & 22 & 24 & 28 \tabularnewline
I2M & 10 & 16 & 18 & 20 & 25 \tabularnewline
I2F & 12 & 17 & 20 & 23 & 28 \tabularnewline
I3M & 5 & 11 & 14 & 18 & 23 \tabularnewline
I3F
 & 4 & 11 & 13 & 18 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132376&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]I1M[/C][C]13[/C][C]18[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I1F[/C][C]13[/C][C]19[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2M[/C][C]10[/C][C]16[/C][C]18[/C][C]20[/C][C]25[/C][/ROW]
[ROW][C]I2F[/C][C]12[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I3M[/C][C]5[/C][C]11[/C][C]14[/C][C]18[/C][C]23[/C][/ROW]
[ROW][C]I3F
[/C][C]4[/C][C]11[/C][C]13[/C][C]18[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132376&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132376&T=1

As an alternative you can also use a QR Code:

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

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
I1M	13	18	20	23	28
I1F	13	19	22	24	28
I2M	10	16	18	20	25
I2F	12	17	20	23	28
I3M	5	11	14	18	23
I3F	4	11	13	18	24

Boxplot Notches
Variable	lower bound	median	upper bound
I1M	19.2019794898038	20	20.7980205101962
I1F	21.004693554409	22	22.995306445591
I2M	17.361583591843	18	18.638416408157
I2F	18.8056322652908	20	21.1943677347092
I3M	12.8827712857253	14	15.1172287142747
I3F	11.6065709761726	13	14.3934290238274

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1M & 19.2019794898038 & 20 & 20.7980205101962 \tabularnewline
I1F & 21.004693554409 & 22 & 22.995306445591 \tabularnewline
I2M & 17.361583591843 & 18 & 18.638416408157 \tabularnewline
I2F & 18.8056322652908 & 20 & 21.1943677347092 \tabularnewline
I3M & 12.8827712857253 & 14 & 15.1172287142747 \tabularnewline
I3F
 & 11.6065709761726 & 13 & 14.3934290238274 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132376&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]I1M[/C][C]19.2019794898038[/C][C]20[/C][C]20.7980205101962[/C][/ROW]
[ROW][C]I1F[/C][C]21.004693554409[/C][C]22[/C][C]22.995306445591[/C][/ROW]
[ROW][C]I2M[/C][C]17.361583591843[/C][C]18[/C][C]18.638416408157[/C][/ROW]
[ROW][C]I2F[/C][C]18.8056322652908[/C][C]20[/C][C]21.1943677347092[/C][/ROW]
[ROW][C]I3M[/C][C]12.8827712857253[/C][C]14[/C][C]15.1172287142747[/C][/ROW]
[ROW][C]I3F
[/C][C]11.6065709761726[/C][C]13[/C][C]14.3934290238274[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132376&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132376&T=2

As an alternative you can also use a QR Code:

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

Boxplot Notches
Variable	lower bound	median	upper bound
I1M	19.2019794898038	20	20.7980205101962
I1F	21.004693554409	22	22.995306445591
I2M	17.361583591843	18	18.638416408157
I2F	18.8056322652908	20	21.1943677347092
I3M	12.8827712857253	14	15.1172287142747
I3F	11.6065709761726	13	14.3934290238274

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ;

Parameters (R input):

par1 = grey ;

R code (references can be found in the software module):

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,hyperlink('overview.htm','Boxplot statistics','Boxplot overview'),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,hyperlink('lower_whisker.htm','lower whisker','definition of lower whisker'),1,TRUE)
a<-table.element(a,hyperlink('lower_hinge.htm','lower hinge','definition of lower hinge'),1,TRUE)
a<-table.element(a,hyperlink('central_tendency.htm','median','definitions about measures of central tendency'),1,TRUE)
a<-table.element(a,hyperlink('upper_hinge.htm','upper hinge','definition of upper hinge'),1,TRUE)
a<-table.element(a,hyperlink('upper_whisker.htm','upper whisker','definition of 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code