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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

Sat, 15 Oct 2011 08:58:44 -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/15/t1318683544oi680j5ntcu4tel.htm/, Retrieved Wed, 15 May 2024 05:14:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=129789, Retrieved Wed, 15 May 2024 05:14:09 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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] [] [2011-10-15 12:58:44] [cd8b9934e81fda54a97eda68755efa21] [Current]

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Dataseries X:

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Histogram

Boxplots

26	19	21	18	21	11	23	20	17	21	23	21	4	8
19	25	19	17	18	4	22	28	18	19	20	23	6	4
20	17	16	19	8	10	24	24	20	25	24	27	8	4
25	22	23	20	19	13	27	27	28	17	22	27	4	4
26	21	19	17	16	11	24	23	16	20	25	22	5	8
22	26	16	25	14	24	23	28	18	22	23	28	4	4
13	20	8	26	9	5	24	27	22	21	28	27	4	4
22	14	13	19	15	5	25	19	23	17	25	16	8	4
21	23	15	16	19	13	24	28	24	17	28	24	7	4
7	20	5	19	6	9	20	11	14	22	21	20	4	4
17	22	14	25	11	17	26	25	23	25	27	22	5	4
18	15	12	15	7	12	23	20	25	15	28	20	4	10
22	20	25	12	15	7	26	20	23	22	22	24	4	4
18	22	19	21	15	16	26	24	21	21	27	19	7	8
23	20	20	15	10	14	23	25	21	16	26	23	4	4
15	28	12	28	9	24	20	28	18	28	24	27	16	4
21	25	17	26	18	18	25	24	17	22	22	21	6	5
18	26	16	25	17	12	22	21	15	21	21	19	9	4
19	17	11	12	14	9	23	22	13	12	23	19	4	5
22	23	20	15	16	8	25	20	26	25	28	26	5	12
16	13	11	14	10	10	23	20	16	24	10	28	4	9
18	24	20	22	10	19	22	23	21	24	21	24	5	4
20	14	19	21	14	4	24	21	20	25	21	24	4	4
24	22	17	23	10	19	25	12	14	25	24	25	4	5
24	23	18	25	9	11	17	23	20	26	25	16	4	4
21	22	27	22	16	11	23	28	20	22	21	25	4	4
17	24	19	24	18	24	20	24	18	24	17	24	18	6
22	21	19	20	18	17	24	24	24	17	25	23	4	4
21	23	22	22	19	18	28	25	19	20	28	26	4	4
24	22	20	16	23	12	25	21	23	15	19	22	10	5
24	21	24	22	22	16	25	26	26	24	26	25	5	5
16	26	16	24	14	23	18	28	22	26	18	27	8	4
16	15	16	16	14	7	17	21	20	21	18	12	8	4
24	25	20	27	16	10	26	27	22	25	27	15	5	4
17	17	12	20	11	17	19	22	20	23	22	21	14	8
19	25	8	27	14	21	25	23	6	28	28	24	8	4
20	27	21	24	13	19	21	24	21	18	26	19	8	4
15	25	18	19	9	13	13	22	20	21	10	21	4	4
22	19	16	16	13	12	25	23	23	21	22	21	6	4
23	26	18	26	19	22	26	25	20	23	21	24	4	7
16	20	20	22	13	5	25	21	24	15	24	18	7	4
19	20	20	21	13	14	25	22	22	23	25	19	7	4
18	18	19	14	15	12	20	20	21	21	20	18	10	8
24	18	17	12	19	12	23	21	20	10	20	23	6	5
24	19	12	22	15	6	28	19	11	21	27	20	4	5
23	23	18	20	8	17	28	26	27	18	26	25	4	5
22	17	20	18	10	15	24	20	25	19	23	21	5	4
20	23	16	23	12	17	18	22	18	22	17	22	4	4
25	23	22	23	20	22	28	23	24	24	25	22	4	7
16	11	16	12	12	9	21	22	27	15	27	20	7	10
15	18	12	16	10	13	18	24	18	18	27	23	8	4
19	24	14	23	18	20	21	23	15	26	21	25	10	5
16	16	15	18	7	12	24	23	22	21	21	25	5	7
17	24	17	23	18	20	15	27	14	23	15	26	12	4
25	24	23	15	22	18	23	21	26	16	22	20	4	4
16	21	19	17	15	13	20	23	18	22	23	26	7	8
23	25	13	22	14	15	22	25	11	16	23	21	8	6
20	22	17	20	17	18	26	23	22	19	24	22	7	4
9	21	18	20	9	18	23	22	26	20	25	16	5	9
25	24	23	20	22	12	27	28	20	25	26	25	8	4
27	24	22	22	20	16	25	28	24	21	18	23	4	4
18	21	16	18	18	16	25	20	23	21	20	21	6	5
16	18	16	17	16	13	19	18	27	16	25	16	16	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	'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=129789&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=129789&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129789&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
I1G1	9	17	20	23	27
I1G2	13	19	22	24	28
I2G1	11	15.5	18	20	25
I2G2	12	17	20	23	28
I3G1	6	10.5	15	18	23
I3G2	4	11	13	18	24
E1G1	15	21	24	25	28
E1G2	18	21	23	25	28
E2G1	11	18	21	23	28
E2G2	10	18	21	24	28
E3G1	15	21	23	26	28
E3G2	15	20	22	25	28
AG1	4	4	5	8	14
AG2	4	4	4	5.5	7

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1G1 & 9 & 17 & 20 & 23 & 27 \tabularnewline
I1G2 & 13 & 19 & 22 & 24 & 28 \tabularnewline
I2G1 & 11 & 15.5 & 18 & 20 & 25 \tabularnewline
I2G2 & 12 & 17 & 20 & 23 & 28 \tabularnewline
I3G1 & 6 & 10.5 & 15 & 18 & 23 \tabularnewline
I3G2 & 4 & 11 & 13 & 18 & 24 \tabularnewline
E1G1 & 15 & 21 & 24 & 25 & 28 \tabularnewline
E1G2 & 18 & 21 & 23 & 25 & 28 \tabularnewline
E2G1 & 11 & 18 & 21 & 23 & 28 \tabularnewline
E2G2 & 10 & 18 & 21 & 24 & 28 \tabularnewline
E3G1 & 15 & 21 & 23 & 26 & 28 \tabularnewline
E3G2 & 15 & 20 & 22 & 25 & 28 \tabularnewline
AG1 & 4 & 4 & 5 & 8 & 14 \tabularnewline
AG2
 & 4 & 4 & 4 & 5.5 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129789&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]I1G1[/C][C]9[/C][C]17[/C][C]20[/C][C]23[/C][C]27[/C][/ROW]
[ROW][C]I1G2[/C][C]13[/C][C]19[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2G1[/C][C]11[/C][C]15.5[/C][C]18[/C][C]20[/C][C]25[/C][/ROW]
[ROW][C]I2G2[/C][C]12[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I3G1[/C][C]6[/C][C]10.5[/C][C]15[/C][C]18[/C][C]23[/C][/ROW]
[ROW][C]I3G2[/C][C]4[/C][C]11[/C][C]13[/C][C]18[/C][C]24[/C][/ROW]
[ROW][C]E1G1[/C][C]15[/C][C]21[/C][C]24[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E1G2[/C][C]18[/C][C]21[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2G1[/C][C]11[/C][C]18[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]E2G2[/C][C]10[/C][C]18[/C][C]21[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]E3G1[/C][C]15[/C][C]21[/C][C]23[/C][C]26[/C][C]28[/C][/ROW]
[ROW][C]E3G2[/C][C]15[/C][C]20[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AG1[/C][C]4[/C][C]4[/C][C]5[/C][C]8[/C][C]14[/C][/ROW]
[ROW][C]AG2
[/C][C]4[/C][C]4[/C][C]4[/C][C]5.5[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129789&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129789&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
I1G1	9	17	20	23	27
I1G2	13	19	22	24	28
I2G1	11	15.5	18	20	25
I2G2	12	17	20	23	28
I3G1	6	10.5	15	18	23
I3G2	4	11	13	18	24
E1G1	15	21	24	25	28
E1G2	18	21	23	25	28
E2G1	11	18	21	23	28
E2G2	10	18	21	24	28
E3G1	15	21	23	26	28
E3G2	15	20	22	25	28
AG1	4	4	5	8	14
AG2	4	4	4	5.5	7

Boxplot Notches
Variable	lower bound	median	upper bound
I1G1	18.8056322652908	20	21.1943677347092
I1G2	21.004693554409	22	22.995306445591
I2G1	17.1042241989681	18	18.8957758010319
I2G2	18.8056322652908	20	21.1943677347092
I3G1	13.5070403316136	15	16.4929596683864
I3G2	11.6065709761726	13	14.3934290238274
E1G1	23.2037548435272	24	24.7962451564728
E1G2	22.2037548435272	23	23.7962451564728
E2G1	20.004693554409	21	21.995306445591
E2G2	19.8056322652908	21	22.1943677347092
E3G1	22.004693554409	23	23.995306445591
E3G2	21.004693554409	22	22.995306445591
AG1	4.20375484352723	5	5.79624515647277
AG2	3.70140806632271	4	4.29859193367729

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1G1 & 18.8056322652908 & 20 & 21.1943677347092 \tabularnewline
I1G2 & 21.004693554409 & 22 & 22.995306445591 \tabularnewline
I2G1 & 17.1042241989681 & 18 & 18.8957758010319 \tabularnewline
I2G2 & 18.8056322652908 & 20 & 21.1943677347092 \tabularnewline
I3G1 & 13.5070403316136 & 15 & 16.4929596683864 \tabularnewline
I3G2 & 11.6065709761726 & 13 & 14.3934290238274 \tabularnewline
E1G1 & 23.2037548435272 & 24 & 24.7962451564728 \tabularnewline
E1G2 & 22.2037548435272 & 23 & 23.7962451564728 \tabularnewline
E2G1 & 20.004693554409 & 21 & 21.995306445591 \tabularnewline
E2G2 & 19.8056322652908 & 21 & 22.1943677347092 \tabularnewline
E3G1 & 22.004693554409 & 23 & 23.995306445591 \tabularnewline
E3G2 & 21.004693554409 & 22 & 22.995306445591 \tabularnewline
AG1 & 4.20375484352723 & 5 & 5.79624515647277 \tabularnewline
AG2
 & 3.70140806632271 & 4 & 4.29859193367729 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129789&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]I1G1[/C][C]18.8056322652908[/C][C]20[/C][C]21.1943677347092[/C][/ROW]
[ROW][C]I1G2[/C][C]21.004693554409[/C][C]22[/C][C]22.995306445591[/C][/ROW]
[ROW][C]I2G1[/C][C]17.1042241989681[/C][C]18[/C][C]18.8957758010319[/C][/ROW]
[ROW][C]I2G2[/C][C]18.8056322652908[/C][C]20[/C][C]21.1943677347092[/C][/ROW]
[ROW][C]I3G1[/C][C]13.5070403316136[/C][C]15[/C][C]16.4929596683864[/C][/ROW]
[ROW][C]I3G2[/C][C]11.6065709761726[/C][C]13[/C][C]14.3934290238274[/C][/ROW]
[ROW][C]E1G1[/C][C]23.2037548435272[/C][C]24[/C][C]24.7962451564728[/C][/ROW]
[ROW][C]E1G2[/C][C]22.2037548435272[/C][C]23[/C][C]23.7962451564728[/C][/ROW]
[ROW][C]E2G1[/C][C]20.004693554409[/C][C]21[/C][C]21.995306445591[/C][/ROW]
[ROW][C]E2G2[/C][C]19.8056322652908[/C][C]21[/C][C]22.1943677347092[/C][/ROW]
[ROW][C]E3G1[/C][C]22.004693554409[/C][C]23[/C][C]23.995306445591[/C][/ROW]
[ROW][C]E3G2[/C][C]21.004693554409[/C][C]22[/C][C]22.995306445591[/C][/ROW]
[ROW][C]AG1[/C][C]4.20375484352723[/C][C]5[/C][C]5.79624515647277[/C][/ROW]
[ROW][C]AG2
[/C][C]3.70140806632271[/C][C]4[/C][C]4.29859193367729[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129789&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129789&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
I1G1	18.8056322652908	20	21.1943677347092
I1G2	21.004693554409	22	22.995306445591
I2G1	17.1042241989681	18	18.8957758010319
I2G2	18.8056322652908	20	21.1943677347092
I3G1	13.5070403316136	15	16.4929596683864
I3G2	11.6065709761726	13	14.3934290238274
E1G1	23.2037548435272	24	24.7962451564728
E1G2	22.2037548435272	23	23.7962451564728
E2G1	20.004693554409	21	21.995306445591
E2G2	19.8056322652908	21	22.1943677347092
E3G1	22.004693554409	23	23.995306445591
E3G2	21.004693554409	22	22.995306445591
AG1	4.20375484352723	5	5.79624515647277
AG2	3.70140806632271	4	4.29859193367729

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