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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_notchedbox1.wasp
Title produced by softwareNotched Boxplots
Date of computationTue, 19 Oct 2010 18:16:24 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/19/t1287512152mmak5dyt193y66m.htm/, Retrieved Sun, 28 Apr 2024 21:35:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=86853, Retrieved Sun, 28 Apr 2024 21:35:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101

Tree of Dependent Computations

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 (1)] [2010-10-19 18:16:24] [0dbff7218d83c9f93b81320e51e185be] [Current]
-   PD      [Notched Boxplots] [4 -1 ] [2010-10-19 20:48:56] [2c786c21adba4dd4c8af44dce5258f06]
Feedback Forum
2010-10-24 08:23:27 [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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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26	21	21	23	17	23	4
20	16	15	24	17	20	4
19	19	18	22	18	20	6
20	16	8	24	20	24	8
25	23	19	27	28	22	4
22	12	20	27	22	20	8
26	19	16	24	16	25	5
22	16	14	23	18	23	4
19	13	14	27	14	22	4
24	20	8	28	11	24	4
26	27	23	27	27	25	4
13	8	9	24	22	28	4
22	13	15	25	23	25	8
21	15	19	24	24	28	7
7	5	6	20	14	21	4
17	14	11	26	23	27	5
25	24	17	23	24	14	4
25	24	17	23	24	14	4
19	9	5	20	8	27	4
23	19	15	24	23	21	4
22	19	17	23	21	21	4
21	18	20	18	24	12	15
18	12	7	23	25	28	4
22	25	15	26	23	22	4
18	19	15	26	21	27	7
23	20	10	23	21	26	4
20	24	14	22	26	22	6
15	12	9	20	18	24	16
21	17	18	25	17	22	6
18	16	17	22	15	21	9
19	11	14	23	13	23	4
22	20	16	25	26	28	5
16	11	10	23	16	10	4
18	20	10	22	21	21	5
20	19	14	24	20	21	4
24	17	10	25	14	24	4
24	18	9	17	20	25	4
18	17	12	20	22	23	6
21	27	16	23	20	21	4
17	19	18	20	18	17	18
22	19	18	24	24	25	4
16	11	9	24	20	23	5
21	22	19	28	19	28	4
24	20	23	25	23	19	10
24	24	22	25	26	26	5
16	16	14	18	22	18	8
16	16	14	17	20	18	8
18	11	12	22	13	21	5
20	20	12	25	22	22	4
24	20	16	26	22	27	5
17	12	11	19	20	22	14
19	8	14	25	6	28	8
20	21	13	21	21	26	8
15	18	9	13	20	10	4
22	16	13	25	23	22	6
23	18	19	26	20	21	4
16	20	13	25	24	24	7
19	20	13	25	22	25	7
19	17	14	21	18	20	6
21	15	11	24	23	23	4
24	17	18	21	21	24	8
22	23	19	25	24	24	4
18	19	15	20	21	20	10
24	17	19	23	20	20	6
24	12	15	28	11	27	4
22	24	17	23	22	23	4
23	18	8	28	27	26	4
22	20	10	24	25	23	5
20	16	12	18	18	17	4
18	20	12	20	20	21	6
25	22	20	28	24	25	4
16	16	12	21	27	27	7
20	17	14	25	21	24	8
15	12	10	18	18	27	8
19	14	18	21	15	21	10
19	23	18	22	24	24	8
16	15	7	24	22	21	5
17	17	18	15	14	15	12
28	28	9	28	28	25	4
25	23	22	23	26	22	4
20	13	11	26	17	24	6
16	19	15	20	18	23	7
23	13	14	22	11	23	8
21	22	14	26	26	22	11
23	20	20	23	23	22	8
18	10	8	21	15	24	6
20	17	17	26	22	24	7
9	18	9	23	26	25	5
25	23	22	27	20	26	8
20	17	10	19	18	21	4
21	19	12	22	19	26	5
22	18	12	25	23	28	6
27	22	20	25	24	18	4
18	16	18	25	23	20	6
16	16	16	19	27	25	16
22	16	13	25	23	22	6
20	16	17	22	18	21	6
20	18	17	20	16	18	4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86853&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86853&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86853&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
I11318202328
I21016182025
I3511141823
E11521232528
E21118212328
E31521232528
A445814

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
I1 & 13 & 18 & 20 & 23 & 28 \tabularnewline
I2 & 10 & 16 & 18 & 20 & 25 \tabularnewline
I3 & 5 & 11 & 14 & 18 & 23 \tabularnewline
E1 & 15 & 21 & 23 & 25 & 28 \tabularnewline
E2 & 11 & 18 & 21 & 23 & 28 \tabularnewline
E3 & 15 & 21 & 23 & 25 & 28 \tabularnewline
A & 4 & 4 & 5 & 8 & 14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86853&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]23[/C][C]28[/C][/ROW]
[ROW][C]I2[/C][C]10[/C][C]16[/C][C]18[/C][C]20[/C][C]25[/C][/ROW]
[ROW][C]I3[/C][C]5[/C][C]11[/C][C]14[/C][C]18[/C][C]23[/C][/ROW]
[ROW][C]E1[/C][C]15[/C][C]21[/C][C]23[/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]15[/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]8[/C][C]14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86853&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86853&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
I11318202328
I21016182025
I3511141823
E11521232528
E21118212328
E31521232528
A445814






Boxplot Notches
Variablelower boundmedianupper bound
I119.20197948980382020.7980205101962
I217.3615835918431818.638416408157
I312.88277128572531415.1172287142747
E122.3615835918432323.638416408157
E220.20197948980382121.7980205101962
E322.3615835918432323.638416408157
A4.36158359184355.638416408157

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
I1 & 19.2019794898038 & 20 & 20.7980205101962 \tabularnewline
I2 & 17.361583591843 & 18 & 18.638416408157 \tabularnewline
I3 & 12.8827712857253 & 14 & 15.1172287142747 \tabularnewline
E1 & 22.361583591843 & 23 & 23.638416408157 \tabularnewline
E2 & 20.2019794898038 & 21 & 21.7980205101962 \tabularnewline
E3 & 22.361583591843 & 23 & 23.638416408157 \tabularnewline
A & 4.361583591843 & 5 & 5.638416408157 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=86853&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]19.2019794898038[/C][C]20[/C][C]20.7980205101962[/C][/ROW]
[ROW][C]I2[/C][C]17.361583591843[/C][C]18[/C][C]18.638416408157[/C][/ROW]
[ROW][C]I3[/C][C]12.8827712857253[/C][C]14[/C][C]15.1172287142747[/C][/ROW]
[ROW][C]E1[/C][C]22.361583591843[/C][C]23[/C][C]23.638416408157[/C][/ROW]
[ROW][C]E2[/C][C]20.2019794898038[/C][C]21[/C][C]21.7980205101962[/C][/ROW]
[ROW][C]E3[/C][C]22.361583591843[/C][C]23[/C][C]23.638416408157[/C][/ROW]
[ROW][C]A[/C][C]4.361583591843[/C][C]5[/C][C]5.638416408157[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=86853&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=86853&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Boxplot Notches
Variablelower boundmedianupper bound
I119.20197948980382020.7980205101962
I217.3615835918431818.638416408157
I312.88277128572531415.1172287142747
E122.3615835918432323.638416408157
E220.20197948980382121.7980205101962
E322.3615835918432323.638416408157
A4.36158359184355.638416408157


Figures (Output of Computation)

Input Parameters & R Code

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')