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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

Tue, 18 Oct 2011 14:26:09 -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/t1318962441j1t0cfn39avi4rx.htm/, Retrieved Thu, 16 May 2024 11:29:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=132458, Retrieved Thu, 16 May 2024 11:29:59 +0000

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Original text written by user:

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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  D    [Notched Boxplots] [WS 3 Question 4 N...] [2011-10-18 18:26:09] [e1c4030d3eb0ab0fcc7a7b48aeaac474] [Current]

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Dataseries X:

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Histogram

Boxplots

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

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

\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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132458&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132458&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132458&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

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
I1	13	18	20	22.5	26
I2	8	15	18	20	27
I3	5	11	14	17.5	23
E1	18	22	24	25	28
E2	11	18	21	23	28
E3	17	21	23	25	28
A	4	4	5	7	10
I1	13	19	22	24	28
I2	12	17	20	23	28
I3	4	11	13	18	24
E1	18	21	23	25	28
E2	10	18	21	24	28
E3	15	20	22	25	28
A	4	4	4	5.5	7

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1 & 13 & 18 & 20 & 22.5 & 26 \tabularnewline
I2 & 8 & 15 & 18 & 20 & 27 \tabularnewline
I3 & 5 & 11 & 14 & 17.5 & 23 \tabularnewline
E1 & 18 & 22 & 24 & 25 & 28 \tabularnewline
E2 & 11 & 18 & 21 & 23 & 28 \tabularnewline
E3 & 17 & 21 & 23 & 25 & 28 \tabularnewline
A & 4 & 4 & 5 & 7 & 10 \tabularnewline
I1 & 13 & 19 & 22 & 24 & 28 \tabularnewline
I2 & 12 & 17 & 20 & 23 & 28 \tabularnewline
I3 & 4 & 11 & 13 & 18 & 24 \tabularnewline
E1 & 18 & 21 & 23 & 25 & 28 \tabularnewline
E2 & 10 & 18 & 21 & 24 & 28 \tabularnewline
E3 & 15 & 20 & 22 & 25 & 28 \tabularnewline
A & 4 & 4 & 4 & 5.5 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132458&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[/C][C]13[/C][C]18[/C][C]20[/C][C]22.5[/C][C]26[/C][/ROW]
[ROW][C]I2[/C][C]8[/C][C]15[/C][C]18[/C][C]20[/C][C]27[/C][/ROW]
[ROW][C]I3[/C][C]5[/C][C]11[/C][C]14[/C][C]17.5[/C][C]23[/C][/ROW]
[ROW][C]E1[/C][C]18[/C][C]22[/C][C]24[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2[/C][C]11[/C][C]18[/C][C]21[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]E3[/C][C]17[/C][C]21[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]A[/C][C]4[/C][C]4[/C][C]5[/C][C]7[/C][C]10[/C][/ROW]
[ROW][C]I1[/C][C]13[/C][C]19[/C][C]22[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2[/C][C]12[/C][C]17[/C][C]20[/C][C]23[/C][C]28[/C][/ROW]
[ROW][C]I3[/C][C]4[/C][C]11[/C][C]13[/C][C]18[/C][C]24[/C][/ROW]
[ROW][C]E1[/C][C]18[/C][C]21[/C][C]23[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E2[/C][C]10[/C][C]18[/C][C]21[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]E3[/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]5.5[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132458&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132458&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	13	18	20	22.5	26
I2	8	15	18	20	27
I3	5	11	14	17.5	23
E1	18	22	24	25	28
E2	11	18	21	23	28
E3	17	21	23	25	28
A	4	4	5	7	10
I1	13	19	22	24	28
I2	12	17	20	23	28
I3	4	11	13	18	24
E1	18	21	23	25	28
E2	10	18	21	24	28
E3	15	20	22	25	28
A	4	4	4	5.5	7

Boxplot Notches
Variable	lower bound	median	upper bound
I1	19.1042241989681	20	20.8957758010319
I2	17.004693554409	18	18.995306445591
I3	12.7061016207317	14	15.2938983792683
E1	23.4028161326454	24	24.5971838673546
E2	20.004693554409	21	21.995306445591
E3	22.2037548435272	23	23.7962451564728
A	4.40281613264542	5	5.59718386735458
I1	21.004693554409	22	22.995306445591
I2	18.8056322652908	20	21.1943677347092
I3	11.6065709761726	13	14.3934290238274
E1	22.2037548435272	23	23.7962451564728
E2	19.8056322652908	21	22.1943677347092
E3	21.004693554409	22	22.995306445591
A	3.70140806632271	4	4.29859193367729

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1 & 19.1042241989681 & 20 & 20.8957758010319 \tabularnewline
I2 & 17.004693554409 & 18 & 18.995306445591 \tabularnewline
I3 & 12.7061016207317 & 14 & 15.2938983792683 \tabularnewline
E1 & 23.4028161326454 & 24 & 24.5971838673546 \tabularnewline
E2 & 20.004693554409 & 21 & 21.995306445591 \tabularnewline
E3 & 22.2037548435272 & 23 & 23.7962451564728 \tabularnewline
A & 4.40281613264542 & 5 & 5.59718386735458 \tabularnewline
I1 & 21.004693554409 & 22 & 22.995306445591 \tabularnewline
I2 & 18.8056322652908 & 20 & 21.1943677347092 \tabularnewline
I3 & 11.6065709761726 & 13 & 14.3934290238274 \tabularnewline
E1 & 22.2037548435272 & 23 & 23.7962451564728 \tabularnewline
E2 & 19.8056322652908 & 21 & 22.1943677347092 \tabularnewline
E3 & 21.004693554409 & 22 & 22.995306445591 \tabularnewline
A & 3.70140806632271 & 4 & 4.29859193367729 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=132458&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[/C][C]19.1042241989681[/C][C]20[/C][C]20.8957758010319[/C][/ROW]
[ROW][C]I2[/C][C]17.004693554409[/C][C]18[/C][C]18.995306445591[/C][/ROW]
[ROW][C]I3[/C][C]12.7061016207317[/C][C]14[/C][C]15.2938983792683[/C][/ROW]
[ROW][C]E1[/C][C]23.4028161326454[/C][C]24[/C][C]24.5971838673546[/C][/ROW]
[ROW][C]E2[/C][C]20.004693554409[/C][C]21[/C][C]21.995306445591[/C][/ROW]
[ROW][C]E3[/C][C]22.2037548435272[/C][C]23[/C][C]23.7962451564728[/C][/ROW]
[ROW][C]A[/C][C]4.40281613264542[/C][C]5[/C][C]5.59718386735458[/C][/ROW]
[ROW][C]I1[/C][C]21.004693554409[/C][C]22[/C][C]22.995306445591[/C][/ROW]
[ROW][C]I2[/C][C]18.8056322652908[/C][C]20[/C][C]21.1943677347092[/C][/ROW]
[ROW][C]I3[/C][C]11.6065709761726[/C][C]13[/C][C]14.3934290238274[/C][/ROW]
[ROW][C]E1[/C][C]22.2037548435272[/C][C]23[/C][C]23.7962451564728[/C][/ROW]
[ROW][C]E2[/C][C]19.8056322652908[/C][C]21[/C][C]22.1943677347092[/C][/ROW]
[ROW][C]E3[/C][C]21.004693554409[/C][C]22[/C][C]22.995306445591[/C][/ROW]
[ROW][C]A[/C][C]3.70140806632271[/C][C]4[/C][C]4.29859193367729[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=132458&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=132458&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	19.1042241989681	20	20.8957758010319
I2	17.004693554409	18	18.995306445591
I3	12.7061016207317	14	15.2938983792683
E1	23.4028161326454	24	24.5971838673546
E2	20.004693554409	21	21.995306445591
E3	22.2037548435272	23	23.7962451564728
A	4.40281613264542	5	5.59718386735458
I1	21.004693554409	22	22.995306445591
I2	18.8056322652908	20	21.1943677347092
I3	11.6065709761726	13	14.3934290238274
E1	22.2037548435272	23	23.7962451564728
E2	19.8056322652908	21	22.1943677347092
E3	21.004693554409	22	22.995306445591
A	3.70140806632271	4	4.29859193367729

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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