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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, 19 Oct 2010 18:18:48 +0000

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/2010/Oct/19/t1287512386v99rsltepciv5y6.htm/, Retrieved Sun, 28 Apr 2024 23:18:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=86860, Retrieved Sun, 28 Apr 2024 23:18:24 +0000

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Original text written by user:

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]
F   PD    [Notched Boxplots] [Task 4 (2)] [2010-10-19 18:18:48] [0dbff7218d83c9f93b81320e51e185be] [Current]
-   P       [Notched Boxplots] [4-2 ] [2010-10-19 20:52:04] [2c786c21adba4dd4c8af44dce5258f06] 

Feedback Forum

2010-10-24 08:27:08 [Jolin Verept] [reply] 
Je uitleg is zeer correct. Je berekening is op zich niet fout, maar het kon weergegeven worden door 1 enkele berekening zoals we gezien hebben in het college. Ik had dit net hetzelfde gedaan als jou en hier is mijn verbeterde berekening: http://www.freestatistics.org/blog/index.php?v=date/2010/Oct/21/t1287660728y46dir25cb93bis.htm/ 
 
Hier is ook nog wat bijkomende uitleg bij de interpretatie van de output: 
Ik had bij de analyse van de outputs ook enkel gekeken naar de inkepingen van de boxplots, maar als we kijken naar de outliers kunnen we het volgende concluderen: 
 
We zien dat er bij sommige boxplots meer outliers te zien zijn. Dit wordt veroorzaakt doordat de steekproef niet representatief is. De ene groep is kleiner dan de andere en bij de kleine groep neemt de software meer waarden aan als outlier, ookal zijn dit in werkelijkheid geen extreme waarden, maar dus een gevolg van het verschil in steekproefgrootte.

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Dataseries X:

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Histogram

Boxplots

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

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86860&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86860&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86860&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' @ 72.249.127.135

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
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 & 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=86860&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]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=86860&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86860&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	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	21.0046935544090	22	22.9953064455910
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	21.0046935544090	22	22.9953064455910
A	3.70140806632271	4	4.29859193367729

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1 & 21.0046935544090 & 22 & 22.9953064455910 \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 & 21.0046935544090 & 22 & 22.9953064455910 \tabularnewline
A & 3.70140806632271 & 4 & 4.29859193367729 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86860&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]21.0046935544090[/C][C]22[/C][C]22.9953064455910[/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]21.0046935544090[/C][C]22[/C][C]22.9953064455910[/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=86860&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86860&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	21.0046935544090	22	22.9953064455910
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	21.0046935544090	22	22.9953064455910
A	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