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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

Thu, 04 Dec 2008 05:04:20 -0700

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/2008/Dec/04/t12283924420rh7d3hf48z7ow5.htm/, Retrieved Wed, 26 Aug 2026 14:15:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28918, Retrieved Wed, 26 Aug 2026 14:15:23 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

576

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

-       [Notched Boxplots] [paper] [2008-12-04 12:04:20] [821c4b3d195be8e737cf8c9dc649d3cf] [Current]

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Dataseries X:

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Histogram

Boxplots

31,75	33,70	27,03	15,71	17,57	21,07	27,75	32,50	15,96
27,85	32,39	25,98	13,95	18,42	21,28	29,59	33,60	14,32
27,33	28,30	25,72	12,22	17,93	21,83	29,26	32,47	15,06
29,11	29,11	25,93	14,91	18,42	21,83	29,25	34,38	16,90
28,17	28,67	24,94	14,61	17,61	22,22	28,68	32,31	16,60
28,93	28,18	21,70	15,01	17,98	22,68	26,05	30,71	13,16
32,33	29,28	17,90	15,57	17,78	23,58	27,11	30,26	9,57
34,74	29,73	17,06	16,07	17,74	23,73	29,53	27,20	9,35
33,70	26,26	16,41	15,39	19,04	23,68	31,01	24,85	7,68
34,35	26,82	16,68	15,16	19,85	23,92	32,95	22,27	1,52
35,35	27,72	18,24	15,44	20,23	24,85	32,09	18,11	0,80
34,44	27,10	16,41	15,70	20,23	26,28	31,74	18,30

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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28918&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28918&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
2000	27.33	28.55	32.04	34.395	35.35
2001	26.26	27.41	28.485	29.505	32.39
2002	16.41	16.87	19.97	25.825	27.03
2003	13.95	14.76	15.275	15.635	16.07
2004	17.57	17.76	18.2	19.445	20.23
2005	21.07	21.83	23.13	23.825	26.28
2006	26.05	28.215	29.395	31.375	32.95
2007	18.11	23.56	30.485	32.485	34.38
2008	0.8	8.515	13.74	16.28	16.9

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
2000 & 27.33 & 28.55 & 32.04 & 34.395 & 35.35 \tabularnewline
2001 & 26.26 & 27.41 & 28.485 & 29.505 & 32.39 \tabularnewline
2002 & 16.41 & 16.87 & 19.97 & 25.825 & 27.03 \tabularnewline
2003 & 13.95 & 14.76 & 15.275 & 15.635 & 16.07 \tabularnewline
2004 & 17.57 & 17.76 & 18.2 & 19.445 & 20.23 \tabularnewline
2005 & 21.07 & 21.83 & 23.13 & 23.825 & 26.28 \tabularnewline
2006 & 26.05 & 28.215 & 29.395 & 31.375 & 32.95 \tabularnewline
2007 & 18.11 & 23.56 & 30.485 & 32.485 & 34.38 \tabularnewline
2008 & 0.8 & 8.515 & 13.74 & 16.28 & 16.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28918&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]2000[/C][C]27.33[/C][C]28.55[/C][C]32.04[/C][C]34.395[/C][C]35.35[/C][/ROW]
[ROW][C]2001[/C][C]26.26[/C][C]27.41[/C][C]28.485[/C][C]29.505[/C][C]32.39[/C][/ROW]
[ROW][C]2002[/C][C]16.41[/C][C]16.87[/C][C]19.97[/C][C]25.825[/C][C]27.03[/C][/ROW]
[ROW][C]2003[/C][C]13.95[/C][C]14.76[/C][C]15.275[/C][C]15.635[/C][C]16.07[/C][/ROW]
[ROW][C]2004[/C][C]17.57[/C][C]17.76[/C][C]18.2[/C][C]19.445[/C][C]20.23[/C][/ROW]
[ROW][C]2005[/C][C]21.07[/C][C]21.83[/C][C]23.13[/C][C]23.825[/C][C]26.28[/C][/ROW]
[ROW][C]2006[/C][C]26.05[/C][C]28.215[/C][C]29.395[/C][C]31.375[/C][C]32.95[/C][/ROW]
[ROW][C]2007[/C][C]18.11[/C][C]23.56[/C][C]30.485[/C][C]32.485[/C][C]34.38[/C][/ROW]
[ROW][C]2008[/C][C]0.8[/C][C]8.515[/C][C]13.74[/C][C]16.28[/C][C]16.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28918&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
2000	27.33	28.55	32.04	34.395	35.35
2001	26.26	27.41	28.485	29.505	32.39
2002	16.41	16.87	19.97	25.825	27.03
2003	13.95	14.76	15.275	15.635	16.07
2004	17.57	17.76	18.2	19.445	20.23
2005	21.07	21.83	23.13	23.825	26.28
2006	26.05	28.215	29.395	31.375	32.95
2007	18.11	23.56	30.485	32.485	34.38
2008	0.8	8.515	13.74	16.28	16.9

Boxplot Notches
Variable	lower bound	median	upper bound
2000	29.3740562645034	32.04	34.7059437354966
2001	27.5294564369777	28.485	29.4405435630223
2002	15.8855643881314	19.97	24.0544356118685
2003	14.8759066264227	15.275	15.6740933735773
2004	17.4314601891682	18.2	18.9685398108318
2005	22.2200671082437	23.13	24.0399328917563
2006	27.953702787995	29.395	30.836297212005
2007	26.4142475895112	30.485	34.5557524104888
2008	10.1983313761966	13.74	17.2816686238034

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
2000 & 29.3740562645034 & 32.04 & 34.7059437354966 \tabularnewline
2001 & 27.5294564369777 & 28.485 & 29.4405435630223 \tabularnewline
2002 & 15.8855643881314 & 19.97 & 24.0544356118685 \tabularnewline
2003 & 14.8759066264227 & 15.275 & 15.6740933735773 \tabularnewline
2004 & 17.4314601891682 & 18.2 & 18.9685398108318 \tabularnewline
2005 & 22.2200671082437 & 23.13 & 24.0399328917563 \tabularnewline
2006 & 27.953702787995 & 29.395 & 30.836297212005 \tabularnewline
2007 & 26.4142475895112 & 30.485 & 34.5557524104888 \tabularnewline
2008 & 10.1983313761966 & 13.74 & 17.2816686238034 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28918&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]2000[/C][C]29.3740562645034[/C][C]32.04[/C][C]34.7059437354966[/C][/ROW]
[ROW][C]2001[/C][C]27.5294564369777[/C][C]28.485[/C][C]29.4405435630223[/C][/ROW]
[ROW][C]2002[/C][C]15.8855643881314[/C][C]19.97[/C][C]24.0544356118685[/C][/ROW]
[ROW][C]2003[/C][C]14.8759066264227[/C][C]15.275[/C][C]15.6740933735773[/C][/ROW]
[ROW][C]2004[/C][C]17.4314601891682[/C][C]18.2[/C][C]18.9685398108318[/C][/ROW]
[ROW][C]2005[/C][C]22.2200671082437[/C][C]23.13[/C][C]24.0399328917563[/C][/ROW]
[ROW][C]2006[/C][C]27.953702787995[/C][C]29.395[/C][C]30.836297212005[/C][/ROW]
[ROW][C]2007[/C][C]26.4142475895112[/C][C]30.485[/C][C]34.5557524104888[/C][/ROW]
[ROW][C]2008[/C][C]10.1983313761966[/C][C]13.74[/C][C]17.2816686238034[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28918&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28918&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
2000	29.3740562645034	32.04	34.7059437354966
2001	27.5294564369777	28.485	29.4405435630223
2002	15.8855643881314	19.97	24.0544356118685
2003	14.8759066264227	15.275	15.6740933735773
2004	17.4314601891682	18.2	18.9685398108318
2005	22.2200671082437	23.13	24.0399328917563
2006	27.953702787995	29.395	30.836297212005
2007	26.4142475895112	30.485	34.5557524104888
2008	10.1983313761966	13.74	17.2816686238034

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