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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

Fri, 21 Oct 2011 16:04:22 -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/21/t1319227475gvvwafx72dvvjis.htm/, Retrieved Wed, 14 May 2025 05:22:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=133670, Retrieved Wed, 14 May 2025 05:22:37 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

222

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Boxplot and Trimmed Means] [Reddy Moores Boxp...] [2010-10-12 16:37:57] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R P   [Boxplot and Trimmed Means] [Reddy-Moores Plac...] [2010-10-13 09:46:26] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMPD    [Notched Boxplots] [] [2010-10-15 11:13:23] [b98453cac15ba1066b407e146608df68]
- R  D      [Notched Boxplots] [] [2011-10-21 20:00:09] [1dc3906a3b5a6ec06dc921f387100c9e]
-    D          [Notched Boxplots] [] [2011-10-21 20:04:22] [43f1c1fe5c2aaa4d7bd6f731e1a494da] [Current]
-    D            [Notched Boxplots] [] [2011-10-21 20:06:21] [1dc3906a3b5a6ec06dc921f387100c9e] 

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Dataseries X:

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Histogram

Boxplots

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

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133670&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133670&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	'George Udny Yule' @ yule.wessa.net

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
I1M	15	18	20	22	24
I1F	14	20	22.5	24	28
I2M	12	16.5	19	20	25
I2F	12	15	22	25	28
I3M	9	10	14	16	18
I3F	4	10	13	19	24
E1M	20	22	23	24.5	26
E1F	20	21	23	24	28
E2M	13	17.5	20	21.5	26
E2F	16	21	24	25	28
E3M	17	21	23	24.5	28
E3F	16	21	24	25	28
AM	4	4	5	6	9
AF	4	4	4	5	6

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1M & 15 & 18 & 20 & 22 & 24 \tabularnewline
I1F & 14 & 20 & 22.5 & 24 & 28 \tabularnewline
I2M & 12 & 16.5 & 19 & 20 & 25 \tabularnewline
I2F & 12 & 15 & 22 & 25 & 28 \tabularnewline
I3M & 9 & 10 & 14 & 16 & 18 \tabularnewline
I3F & 4 & 10 & 13 & 19 & 24 \tabularnewline
E1M & 20 & 22 & 23 & 24.5 & 26 \tabularnewline
E1F & 20 & 21 & 23 & 24 & 28 \tabularnewline
E2M & 13 & 17.5 & 20 & 21.5 & 26 \tabularnewline
E2F & 16 & 21 & 24 & 25 & 28 \tabularnewline
E3M & 17 & 21 & 23 & 24.5 & 28 \tabularnewline
E3F & 16 & 21 & 24 & 25 & 28 \tabularnewline
AM & 4 & 4 & 5 & 6 & 9 \tabularnewline
AF & 4 & 4 & 4 & 5 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133670&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]I1M[/C][C]15[/C][C]18[/C][C]20[/C][C]22[/C][C]24[/C][/ROW]
[ROW][C]I1F[/C][C]14[/C][C]20[/C][C]22.5[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]I2M[/C][C]12[/C][C]16.5[/C][C]19[/C][C]20[/C][C]25[/C][/ROW]
[ROW][C]I2F[/C][C]12[/C][C]15[/C][C]22[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]I3M[/C][C]9[/C][C]10[/C][C]14[/C][C]16[/C][C]18[/C][/ROW]
[ROW][C]I3F[/C][C]4[/C][C]10[/C][C]13[/C][C]19[/C][C]24[/C][/ROW]
[ROW][C]E1M[/C][C]20[/C][C]22[/C][C]23[/C][C]24.5[/C][C]26[/C][/ROW]
[ROW][C]E1F[/C][C]20[/C][C]21[/C][C]23[/C][C]24[/C][C]28[/C][/ROW]
[ROW][C]E2M[/C][C]13[/C][C]17.5[/C][C]20[/C][C]21.5[/C][C]26[/C][/ROW]
[ROW][C]E2F[/C][C]16[/C][C]21[/C][C]24[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]E3M[/C][C]17[/C][C]21[/C][C]23[/C][C]24.5[/C][C]28[/C][/ROW]
[ROW][C]E3F[/C][C]16[/C][C]21[/C][C]24[/C][C]25[/C][C]28[/C][/ROW]
[ROW][C]AM[/C][C]4[/C][C]4[/C][C]5[/C][C]6[/C][C]9[/C][/ROW]
[ROW][C]AF[/C][C]4[/C][C]4[/C][C]4[/C][C]5[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133670&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133670&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
I1M	15	18	20	22	24
I1F	14	20	22.5	24	28
I2M	12	16.5	19	20	25
I2F	12	15	22	25	28
I3M	9	10	14	16	18
I3F	4	10	13	19	24
E1M	20	22	23	24.5	26
E1F	20	21	23	24	28
E2M	13	17.5	20	21.5	26
E2F	16	21	24	25	28
E3M	17	21	23	24.5	28
E3F	16	21	24	25	28
AM	4	4	5	6	9
AF	4	4	4	5	6

Boxplot Notches
Variable	lower bound	median	upper bound
I1M	18.5500925619381	20	21.4499074380619
I1F	20.8109089511135	22.5	24.1890910488865
I2M	17.7313309916958	19	20.2686690083042
I2F	17.7772723777837	22	26.2227276222163
I3M	11.8251388429071	14	16.1748611570929
I3F	9.19954514000533	13	16.8004548599947
E1M	22.0938078512113	23	23.9061921487887
E1F	21.7331817133351	23	24.2668182866649
E2M	18.5500925619381	20	21.4499074380619
E2F	22.3109089511135	24	25.6890910488865
E3M	21.7313309916958	23	24.2686690083042
E3F	22.3109089511135	24	25.6890910488865
AM	4.27504628096902	5	5.72495371903098
AF	3.57772723777837	4	4.42227276222163

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1M & 18.5500925619381 & 20 & 21.4499074380619 \tabularnewline
I1F & 20.8109089511135 & 22.5 & 24.1890910488865 \tabularnewline
I2M & 17.7313309916958 & 19 & 20.2686690083042 \tabularnewline
I2F & 17.7772723777837 & 22 & 26.2227276222163 \tabularnewline
I3M & 11.8251388429071 & 14 & 16.1748611570929 \tabularnewline
I3F & 9.19954514000533 & 13 & 16.8004548599947 \tabularnewline
E1M & 22.0938078512113 & 23 & 23.9061921487887 \tabularnewline
E1F & 21.7331817133351 & 23 & 24.2668182866649 \tabularnewline
E2M & 18.5500925619381 & 20 & 21.4499074380619 \tabularnewline
E2F & 22.3109089511135 & 24 & 25.6890910488865 \tabularnewline
E3M & 21.7313309916958 & 23 & 24.2686690083042 \tabularnewline
E3F & 22.3109089511135 & 24 & 25.6890910488865 \tabularnewline
AM & 4.27504628096902 & 5 & 5.72495371903098 \tabularnewline
AF & 3.57772723777837 & 4 & 4.42227276222163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=133670&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]I1M[/C][C]18.5500925619381[/C][C]20[/C][C]21.4499074380619[/C][/ROW]
[ROW][C]I1F[/C][C]20.8109089511135[/C][C]22.5[/C][C]24.1890910488865[/C][/ROW]
[ROW][C]I2M[/C][C]17.7313309916958[/C][C]19[/C][C]20.2686690083042[/C][/ROW]
[ROW][C]I2F[/C][C]17.7772723777837[/C][C]22[/C][C]26.2227276222163[/C][/ROW]
[ROW][C]I3M[/C][C]11.8251388429071[/C][C]14[/C][C]16.1748611570929[/C][/ROW]
[ROW][C]I3F[/C][C]9.19954514000533[/C][C]13[/C][C]16.8004548599947[/C][/ROW]
[ROW][C]E1M[/C][C]22.0938078512113[/C][C]23[/C][C]23.9061921487887[/C][/ROW]
[ROW][C]E1F[/C][C]21.7331817133351[/C][C]23[/C][C]24.2668182866649[/C][/ROW]
[ROW][C]E2M[/C][C]18.5500925619381[/C][C]20[/C][C]21.4499074380619[/C][/ROW]
[ROW][C]E2F[/C][C]22.3109089511135[/C][C]24[/C][C]25.6890910488865[/C][/ROW]
[ROW][C]E3M[/C][C]21.7313309916958[/C][C]23[/C][C]24.2686690083042[/C][/ROW]
[ROW][C]E3F[/C][C]22.3109089511135[/C][C]24[/C][C]25.6890910488865[/C][/ROW]
[ROW][C]AM[/C][C]4.27504628096902[/C][C]5[/C][C]5.72495371903098[/C][/ROW]
[ROW][C]AF[/C][C]3.57772723777837[/C][C]4[/C][C]4.42227276222163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=133670&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=133670&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
I1M	18.5500925619381	20	21.4499074380619
I1F	20.8109089511135	22.5	24.1890910488865
I2M	17.7313309916958	19	20.2686690083042
I2F	17.7772723777837	22	26.2227276222163
I3M	11.8251388429071	14	16.1748611570929
I3F	9.19954514000533	13	16.8004548599947
E1M	22.0938078512113	23	23.9061921487887
E1F	21.7331817133351	23	24.2668182866649
E2M	18.5500925619381	20	21.4499074380619
E2F	22.3109089511135	24	25.6890910488865
E3M	21.7313309916958	23	24.2686690083042
E3F	22.3109089511135	24	25.6890910488865
AM	4.27504628096902	5	5.72495371903098
AF	3.57772723777837	4	4.42227276222163

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code