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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

Mon, 17 Oct 2011 05:11:04 -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/17/t13188428592bzbpm4655udif6.htm/, Retrieved Wed, 15 May 2024 22:37:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=130287, Retrieved Wed, 15 May 2024 22:37:50 +0000

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IsPrivate?

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User-defined keywords

Estimated Impact

127

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] [] [2011-10-17 09:11:04] [bd748940d7962893950720dfc8008aaa] [Current]

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Dataseries X:

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Histogram

Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'AstonUniversity' @ aston.wessa.net
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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \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=130287&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/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=130287&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130287&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	2 seconds
R Server	'AstonUniversity' @ aston.wessa.net
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
I1-1	9	18	21	24	28
I1-2	4	16	20.5	24	28
I2-1	8	17	20	23	28
I2-2	8	16	19	22	28
I3-1	5	13	18	21	28
I3-2	4	11	14	18	24
E1-1	4	8	14.5	19	27
E1-2	13	20	23	25	28
E2-1	4	10	13	19	28
E2-2	10	17	21	23	28
E3-1	8	15	18	20	27
E3-2	4	16	21	24	28
A-1	4	9	12	15	24
A-2	4	4	5	12	24

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1-1 & 9 & 18 & 21 & 24 & 28 \tabularnewline
I1-2 & 4 & 16 & 20.5 & 24 & 28 \tabularnewline
I2-1 & 8 & 17 & 20 & 23 & 28 \tabularnewline
I2-2 & 8 & 16 & 19 & 22 & 28 \tabularnewline
I3-1 & 5 & 13 & 18 & 21 & 28 \tabularnewline
I3-2 & 4 & 11 & 14 & 18 & 24 \tabularnewline
E1-1 & 4 & 8 & 14.5 & 19 & 27 \tabularnewline
E1-2 & 13 & 20 & 23 & 25 & 28 \tabularnewline
E2-1 & 4 & 10 & 13 & 19 & 28 \tabularnewline
E2-2 & 10 & 17 & 21 & 23 & 28 \tabularnewline
E3-1 & 8 & 15 & 18 & 20 & 27 \tabularnewline
E3-2 & 4 & 16 & 21 & 24 & 28 \tabularnewline
A-1 & 4 & 9 & 12 & 15 & 24 \tabularnewline
A-2
 & 4 & 4 & 5 & 12 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130287&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]I1-1[/C][C]9[/C][C]18[/C][C]21[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I1-2[/C][C]4[/C][C]16[/C][C]20.5[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2-1[/C][C]8[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I2-2[/C][C]8[/C][C]16[/C][C]19[/C][C]22[/C][C]28[/C][/ROW]
[ROW][C]I3-1[/C][C]5[/C][C]13[/C][C]18[/C][C]21[/C][C]28[/C][/ROW]
[ROW][C]I3-2[/C][C]4[/C][C]11[/C][C]14[/C][C]18[/C][C]24[/C][/ROW]
[ROW][C]E1-1[/C][C]4[/C][C]8[/C][C]14.5[/C][C]19[/C][C]27[/C][/ROW]
[ROW][C]E1-2[/C][C]13[/C][C]20[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2-1[/C][C]4[/C][C]10[/C][C]13[/C][C]19[/C][C]28[/C][/ROW]
[ROW][C]E2-2[/C][C]10[/C][C]17[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]E3-1[/C][C]8[/C][C]15[/C][C]18[/C][C]20[/C][C]27[/C][/ROW]
[ROW][C]E3-2[/C][C]4[/C][C]16[/C][C]21[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]A-1[/C][C]4[/C][C]9[/C][C]12[/C][C]15[/C][C]24[/C][/ROW]
[ROW][C]A-2
[/C][C]4[/C][C]4[/C][C]5[/C][C]12[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130287&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130287&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
I1-1	9	18	21	24	28
I1-2	4	16	20.5	24	28
I2-1	8	17	20	23	28
I2-2	8	16	19	22	28
I3-1	5	13	18	21	28
I3-2	4	11	14	18	24
E1-1	4	8	14.5	19	27
E1-2	13	20	23	25	28
E2-1	4	10	13	19	28
E2-2	10	17	21	23	28
E3-1	8	15	18	20	27
E3-2	4	16	21	24	28
A-1	4	9	12	15	24
A-2	4	4	5	12	24

Boxplot Notches
Variable	lower bound	median	upper bound
I1-1	20.0423753877645	21	21.9576246122355
I1-2	19.223167183686	20.5	21.776832816314
I2-1	19.0423753877645	20	20.9576246122355
I2-2	18.0423753877645	19	19.9576246122355
I3-1	16.723167183686	18	19.276832816314
I3-2	12.8827712857253	14	15.1172287142747
E1-1	12.7443548775683	14.5	16.2556451224317
E1-2	22.2019794898038	23	23.7980205101962
E2-1	11.5635630816468	13	14.4364369183532
E2-2	20.0423753877645	21	21.9576246122355
E3-1	17.2019794898038	18	18.7980205101962
E3-2	19.723167183686	21	22.276832816314
A-1	11.0423753877645	12	12.9576246122355
A-2	3.72316718368601	5	6.276832816314

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1-1 & 20.0423753877645 & 21 & 21.9576246122355 \tabularnewline
I1-2 & 19.223167183686 & 20.5 & 21.776832816314 \tabularnewline
I2-1 & 19.0423753877645 & 20 & 20.9576246122355 \tabularnewline
I2-2 & 18.0423753877645 & 19 & 19.9576246122355 \tabularnewline
I3-1 & 16.723167183686 & 18 & 19.276832816314 \tabularnewline
I3-2 & 12.8827712857253 & 14 & 15.1172287142747 \tabularnewline
E1-1 & 12.7443548775683 & 14.5 & 16.2556451224317 \tabularnewline
E1-2 & 22.2019794898038 & 23 & 23.7980205101962 \tabularnewline
E2-1 & 11.5635630816468 & 13 & 14.4364369183532 \tabularnewline
E2-2 & 20.0423753877645 & 21 & 21.9576246122355 \tabularnewline
E3-1 & 17.2019794898038 & 18 & 18.7980205101962 \tabularnewline
E3-2 & 19.723167183686 & 21 & 22.276832816314 \tabularnewline
A-1 & 11.0423753877645 & 12 & 12.9576246122355 \tabularnewline
A-2
 & 3.72316718368601 & 5 & 6.276832816314 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130287&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]I1-1[/C][C]20.0423753877645[/C][C]21[/C][C]21.9576246122355[/C][/ROW]
[ROW][C]I1-2[/C][C]19.223167183686[/C][C]20.5[/C][C]21.776832816314[/C][/ROW]
[ROW][C]I2-1[/C][C]19.0423753877645[/C][C]20[/C][C]20.9576246122355[/C][/ROW]
[ROW][C]I2-2[/C][C]18.0423753877645[/C][C]19[/C][C]19.9576246122355[/C][/ROW]
[ROW][C]I3-1[/C][C]16.723167183686[/C][C]18[/C][C]19.276832816314[/C][/ROW]
[ROW][C]I3-2[/C][C]12.8827712857253[/C][C]14[/C][C]15.1172287142747[/C][/ROW]
[ROW][C]E1-1[/C][C]12.7443548775683[/C][C]14.5[/C][C]16.2556451224317[/C][/ROW]
[ROW][C]E1-2[/C][C]22.2019794898038[/C][C]23[/C][C]23.7980205101962[/C][/ROW]
[ROW][C]E2-1[/C][C]11.5635630816468[/C][C]13[/C][C]14.4364369183532[/C][/ROW]
[ROW][C]E2-2[/C][C]20.0423753877645[/C][C]21[/C][C]21.9576246122355[/C][/ROW]
[ROW][C]E3-1[/C][C]17.2019794898038[/C][C]18[/C][C]18.7980205101962[/C][/ROW]
[ROW][C]E3-2[/C][C]19.723167183686[/C][C]21[/C][C]22.276832816314[/C][/ROW]
[ROW][C]A-1[/C][C]11.0423753877645[/C][C]12[/C][C]12.9576246122355[/C][/ROW]
[ROW][C]A-2
[/C][C]3.72316718368601[/C][C]5[/C][C]6.276832816314[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130287&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130287&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
I1-1	20.0423753877645	21	21.9576246122355
I1-2	19.223167183686	20.5	21.776832816314
I2-1	19.0423753877645	20	20.9576246122355
I2-2	18.0423753877645	19	19.9576246122355
I3-1	16.723167183686	18	19.276832816314
I3-2	12.8827712857253	14	15.1172287142747
E1-1	12.7443548775683	14.5	16.2556451224317
E1-2	22.2019794898038	23	23.7980205101962
E2-1	11.5635630816468	13	14.4364369183532
E2-2	20.0423753877645	21	21.9576246122355
E3-1	17.2019794898038	18	18.7980205101962
E3-2	19.723167183686	21	22.276832816314
A-1	11.0423753877645	12	12.9576246122355
A-2	3.72316718368601	5	6.276832816314

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