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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_notchedbox1.wasp

Title produced by software

Notched Boxplots

Date of computation

Fri, 15 Oct 2010 17:58:12 +0000

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/2010/Oct/15/t1287165455yxacadkjato44ab.htm/, Retrieved Tue, 13 May 2025 15:12:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83639, Retrieved Tue, 13 May 2025 15:12:52 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

233

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]
-   PD    [Notched Boxplots] [] [2010-10-15 17:58:12] [558c060a42ec367ec2c020fab85c25c7] [Current]

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Dataseries X:

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Histogram

Boxplots

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

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	'George Udny Yule' @ 72.249.76.132
R Framework error message	Warning: there are blank lines in the 'Data X' 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 Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data X' 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=83639&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data X' 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=83639&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83639&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	'George Udny Yule' @ 72.249.76.132
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
I1V	7	17	22	24	28
I2V	8	16	20	23	28
I3V	4	10	13	18	24
E1V	17	21	23	25	28
E2V	10	18	22	24	28
E3V	14	20	23	25	28
AV	4	4	4	7	10
I1M	11	17	19	21	27
I2M	8	14	17	19	24
I3M	4	10	13.5	17	22
E1M	13	20	22.5	25	28
E2M	8	17	20	23	27
E3M	14	20	22	25	28
AM	4	4	5.5	8	14

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1V & 7 & 17 & 22 & 24 & 28 \tabularnewline
I2V & 8 & 16 & 20 & 23 & 28 \tabularnewline
I3V & 4 & 10 & 13 & 18 & 24 \tabularnewline
E1V & 17 & 21 & 23 & 25 & 28 \tabularnewline
E2V & 10 & 18 & 22 & 24 & 28 \tabularnewline
E3V & 14 & 20 & 23 & 25 & 28 \tabularnewline
AV & 4 & 4 & 4 & 7 & 10 \tabularnewline
I1M & 11 & 17 & 19 & 21 & 27 \tabularnewline
I2M & 8 & 14 & 17 & 19 & 24 \tabularnewline
I3M & 4 & 10 & 13.5 & 17 & 22 \tabularnewline
E1M & 13 & 20 & 22.5 & 25 & 28 \tabularnewline
E2M & 8 & 17 & 20 & 23 & 27 \tabularnewline
E3M & 14 & 20 & 22 & 25 & 28 \tabularnewline
AM & 4 & 4 & 5.5 & 8 & 14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83639&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]I1V[/C][C]7[/C][C]17[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2V[/C][C]8[/C][C]16[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I3V[/C][C]4[/C][C]10[/C][C]13[/C][C]18[/C][C]24[/C][/ROW]
[ROW][C]E1V[/C][C]17[/C][C]21[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2V[/C][C]10[/C][C]18[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]E3V[/C][C]14[/C][C]20[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AV[/C][C]4[/C][C]4[/C][C]4[/C][C]7[/C][C]10[/C][/ROW]
[ROW][C]I1M[/C][C]11[/C][C]17[/C][C]19[/C][C]21[/C][C]27[/C][/ROW]
[ROW][C]I2M[/C][C]8[/C][C]14[/C][C]17[/C][C]19[/C][C]24[/C][/ROW]
[ROW][C]I3M[/C][C]4[/C][C]10[/C][C]13.5[/C][C]17[/C][C]22[/C][/ROW]
[ROW][C]E1M[/C][C]13[/C][C]20[/C][C]22.5[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2M[/C][C]8[/C][C]17[/C][C]20[/C][C]23[/C][C]27[/C][/ROW]
[ROW][C]E3M[/C][C]14[/C][C]20[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AM[/C][C]4[/C][C]4[/C][C]5.5[/C][C]8[/C][C]14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83639&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83639&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
I1V	7	17	22	24	28
I2V	8	16	20	23	28
I3V	4	10	13	18	24
E1V	17	21	23	25	28
E2V	10	18	22	24	28
E3V	14	20	23	25	28
AV	4	4	4	7	10
I1M	11	17	19	21	27
I2M	8	14	17	19	24
I3M	4	10	13.5	17	22
E1M	13	20	22.5	25	28
E2M	8	17	20	23	27
E3M	14	20	22	25	28
AM	4	4	5.5	8	14

Boxplot Notches
Variable	lower bound	median	upper bound
I1V	20.8827712857253	22	23.1172287142747
I2V	18.8827712857253	20	21.1172287142747
I3V	11.723167183686	13	14.276832816314
E1V	22.361583591843	23	23.638416408157
E2V	21.0423753877645	22	22.9576246122355
E3V	22.2019794898038	23	23.7980205101962
AV	3.52118769388225	4	4.47881230611775
I1M	18.361583591843	19	19.638416408157
I2M	16.2019794898038	17	17.7980205101962
I3M	12.3827712857253	13.5	14.6172287142747
E1M	21.7019794898038	22.5	23.2980205101962
E2M	19.0423753877645	20	20.9576246122355
E3M	21.2019794898038	22	22.7980205101962
AM	4.861583591843	5.5	6.138416408157

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1V & 20.8827712857253 & 22 & 23.1172287142747 \tabularnewline
I2V & 18.8827712857253 & 20 & 21.1172287142747 \tabularnewline
I3V & 11.723167183686 & 13 & 14.276832816314 \tabularnewline
E1V & 22.361583591843 & 23 & 23.638416408157 \tabularnewline
E2V & 21.0423753877645 & 22 & 22.9576246122355 \tabularnewline
E3V & 22.2019794898038 & 23 & 23.7980205101962 \tabularnewline
AV & 3.52118769388225 & 4 & 4.47881230611775 \tabularnewline
I1M & 18.361583591843 & 19 & 19.638416408157 \tabularnewline
I2M & 16.2019794898038 & 17 & 17.7980205101962 \tabularnewline
I3M & 12.3827712857253 & 13.5 & 14.6172287142747 \tabularnewline
E1M & 21.7019794898038 & 22.5 & 23.2980205101962 \tabularnewline
E2M & 19.0423753877645 & 20 & 20.9576246122355 \tabularnewline
E3M & 21.2019794898038 & 22 & 22.7980205101962 \tabularnewline
AM & 4.861583591843 & 5.5 & 6.138416408157 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83639&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]I1V[/C][C]20.8827712857253[/C][C]22[/C][C]23.1172287142747[/C][/ROW]
[ROW][C]I2V[/C][C]18.8827712857253[/C][C]20[/C][C]21.1172287142747[/C][/ROW]
[ROW][C]I3V[/C][C]11.723167183686[/C][C]13[/C][C]14.276832816314[/C][/ROW]
[ROW][C]E1V[/C][C]22.361583591843[/C][C]23[/C][C]23.638416408157[/C][/ROW]
[ROW][C]E2V[/C][C]21.0423753877645[/C][C]22[/C][C]22.9576246122355[/C][/ROW]
[ROW][C]E3V[/C][C]22.2019794898038[/C][C]23[/C][C]23.7980205101962[/C][/ROW]
[ROW][C]AV[/C][C]3.52118769388225[/C][C]4[/C][C]4.47881230611775[/C][/ROW]
[ROW][C]I1M[/C][C]18.361583591843[/C][C]19[/C][C]19.638416408157[/C][/ROW]
[ROW][C]I2M[/C][C]16.2019794898038[/C][C]17[/C][C]17.7980205101962[/C][/ROW]
[ROW][C]I3M[/C][C]12.3827712857253[/C][C]13.5[/C][C]14.6172287142747[/C][/ROW]
[ROW][C]E1M[/C][C]21.7019794898038[/C][C]22.5[/C][C]23.2980205101962[/C][/ROW]
[ROW][C]E2M[/C][C]19.0423753877645[/C][C]20[/C][C]20.9576246122355[/C][/ROW]
[ROW][C]E3M[/C][C]21.2019794898038[/C][C]22[/C][C]22.7980205101962[/C][/ROW]
[ROW][C]AM[/C][C]4.861583591843[/C][C]5.5[/C][C]6.138416408157[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83639&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83639&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
I1V	20.8827712857253	22	23.1172287142747
I2V	18.8827712857253	20	21.1172287142747
I3V	11.723167183686	13	14.276832816314
E1V	22.361583591843	23	23.638416408157
E2V	21.0423753877645	22	22.9576246122355
E3V	22.2019794898038	23	23.7980205101962
AV	3.52118769388225	4	4.47881230611775
I1M	18.361583591843	19	19.638416408157
I2M	16.2019794898038	17	17.7980205101962
I3M	12.3827712857253	13.5	14.6172287142747
E1M	21.7019794898038	22.5	23.2980205101962
E2M	19.0423753877645	20	20.9576246122355
E3M	21.2019794898038	22	22.7980205101962
AM	4.861583591843	5.5	6.138416408157

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 8 ; par2 = 0 ;

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