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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_notchedbox1dm.wasp

Title produced by software

Notched Boxplots

Date of computation

Fri, 18 May 2012 15:55:24 -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/2012/May/18/t1337370932xpx2b9osxte7qcn.htm/, Retrieved Wed, 11 Feb 2026 01:57:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166699, Retrieved Wed, 11 Feb 2026 01:57:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

313

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

-     [Notched Boxplots] [Notched Boxplots] [2012-04-26 12:40:42] [38c53a789d29c0853de03d9eff8ed4ee]
- R P   [Notched Boxplots] [k] [2012-04-26 13:38:04] [38c53a789d29c0853de03d9eff8ed4ee]
- R P     [Notched Boxplots] [Boxplots JAAR 1] [2012-04-26 13:52:12] [38c53a789d29c0853de03d9eff8ed4ee]
- R P         [Notched Boxplots] [] [2012-05-18 19:55:24] [9fcdc23b96f67ca1860b0ed8ec932927] [Current]
- R P           [Notched Boxplots] [Jaar 0] [2012-08-28 13:39:06] [52986265a8945c3b72cdef4e8a412754] 
- R             [Notched Boxplots] [Jaar 1] [2012-08-28 13:44:54] [52986265a8945c3b72cdef4e8a412754] 
- R P           [Notched Boxplots] [jaar 2] [2012-08-28 13:46:05] [52986265a8945c3b72cdef4e8a412754] 
- R P           [Notched Boxplots] [jaar 3] [2012-08-28 13:46:56] [52986265a8945c3b72cdef4e8a412754] 

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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	'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166699&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166699&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166699&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	'Gwilym Jenkins' @ jenkins.wessa.net

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
C1	2	3	3	4	5
C3	2	3	3	4	5
C5	2	3	3	4	5
C7	2	3	3	4	5
C9	2	3	4	4	5
C11	2	3	4	4	5
C13	2	3	4	4	5
C15	2	3	3	4	5
C17	2	3	4	4	5
C19	2	3	4	4	5
C21	2	3	3	4	5
C23	2	3	3	4	5
C25	2	3	4	4	5
C27	1	3	4	5	5
C29	2	3	4	4	5
C31	2	3	4	4	5
C33	2	3	4	4	5
C35	2	3	3	4	5
C37	2	3	4	4	5
C39	1	2	3	4	5
C41	2	3	4	4	5
C43	2	3	3	4	5
C45	2	3	4	4	5
C47	1	3	4	5	5

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
C1 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C3 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C5 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C7 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C9 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C11 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C13 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C15 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C17 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C19 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C21 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C23 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C25 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C27 & 1 & 3 & 4 & 5 & 5 \tabularnewline
C29 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C31 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C33 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C35 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C37 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C39 & 1 & 2 & 3 & 4 & 5 \tabularnewline
C41 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C43 & 2 & 3 & 3 & 4 & 5 \tabularnewline
C45 & 2 & 3 & 4 & 4 & 5 \tabularnewline
C47 & 1 & 3 & 4 & 5 & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166699&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]C1[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C3[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C5[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C7[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C9[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C11[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C13[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C15[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C17[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C19[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C21[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C23[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C25[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C27[/C][C]1[/C][C]3[/C][C]4[/C][C]5[/C][C]5[/C][/ROW]
[ROW][C]C29[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C31[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C33[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C35[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C37[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C39[/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C41[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C43[/C][C]2[/C][C]3[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C45[/C][C]2[/C][C]3[/C][C]4[/C][C]4[/C][C]5[/C][/ROW]
[ROW][C]C47[/C][C]1[/C][C]3[/C][C]4[/C][C]5[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166699&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166699&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
C1	2	3	3	4	5
C3	2	3	3	4	5
C5	2	3	3	4	5
C7	2	3	3	4	5
C9	2	3	4	4	5
C11	2	3	4	4	5
C13	2	3	4	4	5
C15	2	3	3	4	5
C17	2	3	4	4	5
C19	2	3	4	4	5
C21	2	3	3	4	5
C23	2	3	3	4	5
C25	2	3	4	4	5
C27	1	3	4	5	5
C29	2	3	4	4	5
C31	2	3	4	4	5
C33	2	3	4	4	5
C35	2	3	3	4	5
C37	2	3	4	4	5
C39	1	2	3	4	5
C41	2	3	4	4	5
C43	2	3	3	4	5
C45	2	3	4	4	5
C47	1	3	4	5	5

Boxplot Notches
Variable	lower bound	median	upper bound
C1	2.89018240859661	3	3.10981759140339
C3	2.89018240859661	3	3.10981759140339
C5	2.89018240859661	3	3.10981759140339
C7	2.89018240859661	3	3.10981759140339
C9	3.89018240859661	4	4.10981759140339
C11	3.89018240859661	4	4.10981759140339
C13	3.89018240859661	4	4.10981759140339
C15	2.89018240859661	3	3.10981759140339
C17	3.89018240859661	4	4.10981759140339
C19	3.89018240859661	4	4.10981759140339
C21	2.89018240859661	3	3.10981759140339
C23	2.89018240859661	3	3.10981759140339
C25	3.89018240859661	4	4.10981759140339
C27	3.78036481719321	4	4.21963518280679
C29	3.89018240859661	4	4.10981759140339
C31	3.89018240859661	4	4.10981759140339
C33	3.89018240859661	4	4.10981759140339
C35	2.89018240859661	3	3.10981759140339
C37	3.89018240859661	4	4.10981759140339
C39	2.78036481719321	3	3.21963518280679
C41	3.89018240859661	4	4.10981759140339
C43	2.89018240859661	3	3.10981759140339
C45	3.89018240859661	4	4.10981759140339
C47	3.78036481719321	4	4.21963518280679

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
C1 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C3 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C5 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C7 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C9 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C11 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C13 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C15 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C17 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C19 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C21 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C23 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C25 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C27 & 3.78036481719321 & 4 & 4.21963518280679 \tabularnewline
C29 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C31 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C33 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C35 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C37 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C39 & 2.78036481719321 & 3 & 3.21963518280679 \tabularnewline
C41 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C43 & 2.89018240859661 & 3 & 3.10981759140339 \tabularnewline
C45 & 3.89018240859661 & 4 & 4.10981759140339 \tabularnewline
C47 & 3.78036481719321 & 4 & 4.21963518280679 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166699&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]C1[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C3[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C5[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C7[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C9[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C11[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C13[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C15[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C17[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C19[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C21[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C23[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C25[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C27[/C][C]3.78036481719321[/C][C]4[/C][C]4.21963518280679[/C][/ROW]
[ROW][C]C29[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C31[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C33[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C35[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C37[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C39[/C][C]2.78036481719321[/C][C]3[/C][C]3.21963518280679[/C][/ROW]
[ROW][C]C41[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C43[/C][C]2.89018240859661[/C][C]3[/C][C]3.10981759140339[/C][/ROW]
[ROW][C]C45[/C][C]3.89018240859661[/C][C]4[/C][C]4.10981759140339[/C][/ROW]
[ROW][C]C47[/C][C]3.78036481719321[/C][C]4[/C][C]4.21963518280679[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166699&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166699&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
C1	2.89018240859661	3	3.10981759140339
C3	2.89018240859661	3	3.10981759140339
C5	2.89018240859661	3	3.10981759140339
C7	2.89018240859661	3	3.10981759140339
C9	3.89018240859661	4	4.10981759140339
C11	3.89018240859661	4	4.10981759140339
C13	3.89018240859661	4	4.10981759140339
C15	2.89018240859661	3	3.10981759140339
C17	3.89018240859661	4	4.10981759140339
C19	3.89018240859661	4	4.10981759140339
C21	2.89018240859661	3	3.10981759140339
C23	2.89018240859661	3	3.10981759140339
C25	3.89018240859661	4	4.10981759140339
C27	3.78036481719321	4	4.21963518280679
C29	3.89018240859661	4	4.10981759140339
C31	3.89018240859661	4	4.10981759140339
C33	3.89018240859661	4	4.10981759140339
C35	2.89018240859661	3	3.10981759140339
C37	3.89018240859661	4	4.10981759140339
C39	2.78036481719321	3	3.21963518280679
C41	3.89018240859661	4	4.10981759140339
C43	2.89018240859661	3	3.10981759140339
C45	3.89018240859661	4	4.10981759140339
C47	3.78036481719321	4	4.21963518280679

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ; par2 = all ; par3 = all ; par4 = 1 ; par5 = COLLES actuals ;

Parameters (R input):

par1 = grey ; par2 = all ; par3 = all ; par4 = 1 ; par5 = COLLES actuals ;

R code (references can be found in the software module):

par5 <- 'COLLES actuals'
par4 <- '0'
par3 <- 'all'
par2 <- 'all'
par1 <- 'grey'
x <- as.data.frame(read.table(file='https://automated.biganalytics.eu/download/utaut.csv',sep=',',header=T))
x$U25 <- 6-x$U25
if(par2 == 'female') x <- x[x$Gender==0,]
if(par2 == 'male') x <- x[x$Gender==1,]
if(par3 == 'prep') x <- x[x$Pop==1,]
if(par3 == 'bachelor') x <- x[x$Pop==0,]
if(par4 != 'all') {
x <- x[x$Year==as.numeric(par4),]
}
cAc <- with(x,cbind( A1, A2, A3, A4, A5, A6, A7, A8, A9,A10))
cAs <- with(x,cbind(A11,A12,A13,A14,A15,A16,A17,A18,A19,A20))
cA <- cbind(cAc,cAs)
cCa <- with(x,cbind(C1,C3,C5,C7, C9,C11,C13,C15,C17,C19,C21,C23,C25,C27,C29,C31,C33,C35,C37,C39,C41,C43,C45,C47))
cCp <- with(x,cbind(C2,C4,C6,C8,C10,C12,C14,C16,C18,C20,C22,C24,C26,C28,C30,C32,C34,C36,C38,C40,C42,C44,C46,C48))
cC <- cbind(cCa,cCp)
cU <- with(x,cbind(U1,U2,U3,U4,U5,U6,U7,U8,U9,U10,U11,U12,U13,U14,U15,U16,U17,U18,U19,U20,U21,U22,U23,U24,U25,U26,U27,U28,U29,U30,U31,U32,U33))
cE <- with(x,cbind(BC,NNZFG,MRT,AFL,LPM,LPC,W,WPA))
cX <- with(x,cbind(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18))
if (par5=='ATTLES connected') x <- cAc
if (par5=='ATTLES separate') x <- cAs
if (par5=='ATTLES all') x <- cA
if (par5=='COLLES actuals') x <- cCa
if (par5=='COLLES preferred') x <- cCp
if (par5=='COLLES all') x <- cC
if (par5=='CSUQ') x <- cU
if (par5=='Learning Activities') x <- cE
if (par5=='Exam Items') x <- cX
ncol <- length(x[1,])
for (jjj in 1:ncol) {
x <- x[!is.na(x[,jjj]),]
}
x <- t(x)
y <- x
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