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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 05:55:36 -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/t1318845453ejj8h2xxvmhr5ys.htm/, Retrieved Wed, 15 May 2024 17:43:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=130298, Retrieved Wed, 15 May 2024 17:43:40 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

124

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 09:55:36] [bd748940d7962893950720dfc8008aaa] [Current]

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Dataseries X:

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Histogram

Boxplots

19	18	11	20	21	21	8	24	20	8	28	11	24	4
25	17	4	28	19	23	4	18	12	7	23	25	28	4
22	12	20	27	22	20	8	24	20	23	25	23	19	10
22	20	13	27	17	27	4	15	16	7	21	21	12	4
26	25	24	28	22	28	4	22	23	19	25	24	24	4
14	19	5	19	17	16	4	18	20	12	20	20	21	6
23	16	13	28	17	24	4	25	23	22	23	26	22	4
17	14	11	26	23	27	5	23	23	17	22	22	22	4
20	19	9	11	22	20	4	11	12	9	22	15	20	10
23	19	15	24	23	21	4	24	23	20	23	26	25	5
22	19	17	23	21	21	4	23	20	20	23	23	22	8
21	18	20	18	24	12	15	20	16	17	22	18	21	6
15	15	12	20	15	20	10	28	28	9	28	28	25	4
20	12	7	20	22	24	4	21	19	12	22	19	26	5
20	24	14	22	26	22	6							
26	25	12	21	21	19	4							
17	12	9	22	12	19	5							
23	15	8	20	25	26	12							
13	14	10	20	24	28	9							
18	16	17	22	15	21	9							
19	11	14	23	13	23	4							
16	11	10	23	16	10	4							
20	19	14	24	20	21	4							
14	21	4	21	25	24	4							
18	17	12	20	22	23	6							
23	25	11	23	26	16	4							
24	24	24	24	24	24	6							
21	20	17	24	17	23	4							
16	11	9	24	20	23	5							
23	22	18	25	20	26	4							
16	16	14	18	22	18	8							
16	16	14	17	20	18	8							
26	24	23	28	26	27	4							
25	27	10	27	25	15	4							
18	11	12	22	13	21	5							
23	21	12	21	20	23	4							
20	20	12	25	22	22	4							
20	21	13	21	21	26	8							
23	18	19	26	20	21	4							
19	20	13	25	22	25	7							
25	19	13	22	21	21	4							
19	16	12	23	21	21	4							
26	26	22	25	23	24	7							
21	15	11	24	23	23	4							
24	12	15	28	11	27	4							
22	24	17	23	22	23	4							
22	20	10	24	25	23	5							
20	16	12	18	18	17	4							
16	16	12	21	27	27	7							
20	17	14	25	21	24	8							
19	22	6	19	21	20	5							
15	12	10	18	18	27	8							
19	23	18	22	24	24	8							
16	15	7	24	22	21	5							
17	17	18	15	14	15	12							
17	18	15	20	19	21	4							
18	16	13	24	18	23	4							
23	13	14	22	11	23	8							
21	22	14	26	26	22	11							
18	10	8	21	15	24	6							
9	18	9	23	26	25	5							
21	17	13	23	22	26	8							
22	20	18	23	19	22	4							
27	22	20	25	24	18	4							
24	22	16	28	21	23	4							
21	18	16	20	21	21	5							
18	16	18	25	23	20	6							
16	16	16	19	27	25	16							
18	17	13	18	16	16	4							
20	18	17	20	16	18	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	'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.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=130298&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]'Gertrude Mary Cox' @ cox.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=130298&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130298&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	'Gertrude Mary Cox' @ cox.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-w	13	18	20	23	26
i2-w	11	15	18	20	26
i3-w	4	11	13	17	24
e1-w	11	20	23	26	28
e2-w	11	18	21.5	23	27
e3-w	15	20	22	24	28
A-w	4	4	4.5	6	9
i1-m	11	18	21	23	28
i2-m	10	16	20	22	28
i3-m	4	10	12.5	17	23
e1-m	17	21	23	24	28
e2-m	15	19	21	24	28
e3-m	15	20	22	25	28
A	4	4	4	8	12

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
i1-w & 13 & 18 & 20 & 23 & 26 \tabularnewline
i2-w & 11 & 15 & 18 & 20 & 26 \tabularnewline
i3-w & 4 & 11 & 13 & 17 & 24 \tabularnewline
e1-w & 11 & 20 & 23 & 26 & 28 \tabularnewline
e2-w & 11 & 18 & 21.5 & 23 & 27 \tabularnewline
e3-w & 15 & 20 & 22 & 24 & 28 \tabularnewline
A-w & 4 & 4 & 4.5 & 6 & 9 \tabularnewline
i1-m & 11 & 18 & 21 & 23 & 28 \tabularnewline
i2-m & 10 & 16 & 20 & 22 & 28 \tabularnewline
i3-m & 4 & 10 & 12.5 & 17 & 23 \tabularnewline
e1-m & 17 & 21 & 23 & 24 & 28 \tabularnewline
e2-m & 15 & 19 & 21 & 24 & 28 \tabularnewline
e3-m & 15 & 20 & 22 & 25 & 28 \tabularnewline
A & 4 & 4 & 4 & 8 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130298&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-w[/C][C]13[/C][C]18[/C][C]20[/C][C]23[/C][C]26[/C][/ROW]
[ROW][C]i2-w[/C][C]11[/C][C]15[/C][C]18[/C][C]20[/C][C]26[/C][/ROW]
[ROW][C]i3-w[/C][C]4[/C][C]11[/C][C]13[/C][C]17[/C][C]24[/C][/ROW]
[ROW][C]e1-w[/C][C]11[/C][C]20[/C][C]23[/C][C]26[/C][C]28[/C][/ROW]
[ROW][C]e2-w[/C][C]11[/C][C]18[/C][C]21.5[/C][C]23[/C][C]27[/C][/ROW]
[ROW][C]e3-w[/C][C]15[/C][C]20[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]A-w[/C][C]4[/C][C]4[/C][C]4.5[/C][C]6[/C][C]9[/C][/ROW]
[ROW][C]i1-m[/C][C]11[/C][C]18[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]i2-m[/C][C]10[/C][C]16[/C][C]20[/C][C]22[/C][C]28[/C][/ROW]
[ROW][C]i3-m[/C][C]4[/C][C]10[/C][C]12.5[/C][C]17[/C][C]23[/C][/ROW]
[ROW][C]e1-m[/C][C]17[/C][C]21[/C][C]23[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]e2-m[/C][C]15[/C][C]19[/C][C]21[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]e3-m[/C][C]15[/C][C]20[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]A[/C][C]4[/C][C]4[/C][C]4[/C][C]8[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130298&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130298&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-w	13	18	20	23	26
i2-w	11	15	18	20	26
i3-w	4	11	13	17	24
e1-w	11	20	23	26	28
e2-w	11	18	21.5	23	27
e3-w	15	20	22	24	28
A-w	4	4	4.5	6	9
i1-m	11	18	21	23	28
i2-m	10	16	20	22	28
i3-m	4	10	12.5	17	23
e1-m	17	21	23	24	28
e2-m	15	19	21	24	28
e3-m	15	20	22	25	28
A	4	4	4	8	12

Boxplot Notches
Variable	lower bound	median	upper bound
i1-w	19.0557693986258	20	20.9442306013742
i2-w	17.0557693986258	18	18.9442306013742
i3-w	11.866923278351	13	14.133076721649
e1-w	21.866923278351	23	24.133076721649
e2-w	20.5557693986258	21.5	22.4442306013742
e3-w	21.2446155189007	22	22.7553844810993
A-w	4.12230775945033	4.5	4.87769224054967
i1-m	20.0557693986258	21	21.9442306013742
i2-m	18.866923278351	20	21.133076721649
i3-m	11.1780771580762	12.5	13.8219228419238
e1-m	22.4334616391755	23	23.5665383608245
e2-m	20.0557693986258	21	21.9442306013742
e3-m	21.0557693986258	22	22.9442306013742
A	3.24461551890066	4	4.75538448109934

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
i1-w & 19.0557693986258 & 20 & 20.9442306013742 \tabularnewline
i2-w & 17.0557693986258 & 18 & 18.9442306013742 \tabularnewline
i3-w & 11.866923278351 & 13 & 14.133076721649 \tabularnewline
e1-w & 21.866923278351 & 23 & 24.133076721649 \tabularnewline
e2-w & 20.5557693986258 & 21.5 & 22.4442306013742 \tabularnewline
e3-w & 21.2446155189007 & 22 & 22.7553844810993 \tabularnewline
A-w & 4.12230775945033 & 4.5 & 4.87769224054967 \tabularnewline
i1-m & 20.0557693986258 & 21 & 21.9442306013742 \tabularnewline
i2-m & 18.866923278351 & 20 & 21.133076721649 \tabularnewline
i3-m & 11.1780771580762 & 12.5 & 13.8219228419238 \tabularnewline
e1-m & 22.4334616391755 & 23 & 23.5665383608245 \tabularnewline
e2-m & 20.0557693986258 & 21 & 21.9442306013742 \tabularnewline
e3-m & 21.0557693986258 & 22 & 22.9442306013742 \tabularnewline
A & 3.24461551890066 & 4 & 4.75538448109934 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=130298&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-w[/C][C]19.0557693986258[/C][C]20[/C][C]20.9442306013742[/C][/ROW]
[ROW][C]i2-w[/C][C]17.0557693986258[/C][C]18[/C][C]18.9442306013742[/C][/ROW]
[ROW][C]i3-w[/C][C]11.866923278351[/C][C]13[/C][C]14.133076721649[/C][/ROW]
[ROW][C]e1-w[/C][C]21.866923278351[/C][C]23[/C][C]24.133076721649[/C][/ROW]
[ROW][C]e2-w[/C][C]20.5557693986258[/C][C]21.5[/C][C]22.4442306013742[/C][/ROW]
[ROW][C]e3-w[/C][C]21.2446155189007[/C][C]22[/C][C]22.7553844810993[/C][/ROW]
[ROW][C]A-w[/C][C]4.12230775945033[/C][C]4.5[/C][C]4.87769224054967[/C][/ROW]
[ROW][C]i1-m[/C][C]20.0557693986258[/C][C]21[/C][C]21.9442306013742[/C][/ROW]
[ROW][C]i2-m[/C][C]18.866923278351[/C][C]20[/C][C]21.133076721649[/C][/ROW]
[ROW][C]i3-m[/C][C]11.1780771580762[/C][C]12.5[/C][C]13.8219228419238[/C][/ROW]
[ROW][C]e1-m[/C][C]22.4334616391755[/C][C]23[/C][C]23.5665383608245[/C][/ROW]
[ROW][C]e2-m[/C][C]20.0557693986258[/C][C]21[/C][C]21.9442306013742[/C][/ROW]
[ROW][C]e3-m[/C][C]21.0557693986258[/C][C]22[/C][C]22.9442306013742[/C][/ROW]
[ROW][C]A[/C][C]3.24461551890066[/C][C]4[/C][C]4.75538448109934[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=130298&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=130298&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-w	19.0557693986258	20	20.9442306013742
i2-w	17.0557693986258	18	18.9442306013742
i3-w	11.866923278351	13	14.133076721649
e1-w	21.866923278351	23	24.133076721649
e2-w	20.5557693986258	21.5	22.4442306013742
e3-w	21.2446155189007	22	22.7553844810993
A-w	4.12230775945033	4.5	4.87769224054967
i1-m	20.0557693986258	21	21.9442306013742
i2-m	18.866923278351	20	21.133076721649
i3-m	11.1780771580762	12.5	13.8219228419238
e1-m	22.4334616391755	23	23.5665383608245
e2-m	20.0557693986258	21	21.9442306013742
e3-m	21.0557693986258	22	22.9442306013742
A	3.24461551890066	4	4.75538448109934

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