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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 computationWed, 05 Nov 2008 09:40:16 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/05/t12259032653rlmf1jhw89djlw.htm/, Retrieved Mon, 20 May 2024 10:30:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=21831, Retrieved Mon, 20 May 2024 10:30:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsnotched boxplot
Estimated Impact144

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Blocked Bootstrap Plot - Central Tendency] [workshop 3] [2007-10-26 12:36:24] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F RMPD    [Notched Boxplots] [Notched boxplot o...] [2008-11-05 16:40:16] [74c7506a1ea162af3aa8be25bcd05d28] [Current]
Feedback Forum
2008-11-12 11:04:22 [Toon Wouters] [reply] 
De laatste portefeuille is inderdaad het interessantse omdat daar zowel de mediaan als het betrouwbaarheidsinterval boven de 3.8% liggen
2008-11-12 11:29:00 [Alexander Hendrickx] [reply] 
Inderdaad de laatste combinatie is de beste omdat de mediaan en betrouwbaarheidsinterval boven de 3.8 liggen. Deze laatste combinatie heeft ook de kleinste spreiding, dus het risico is ook het kleinste.
2008-11-12 11:41:10 [Nicolaj Wuyts] [reply] 
We gebruiken hier de notched boxplots. Via deze boxplots kunnen we de volgende resultaten aflezen:
• The investor buys the portfolio at day 1:
Op dag één is het rendement van alle portfolio’s gelijk. Er moet daarom gekeken worden naar de mogelijke opbrengsten. De eerste portfolio heeft de grootste spreiding. Hieruit volgt dat je hier het meeste op kunt winnen, maar ook kunt verliezen
• The investor sells the entire portfolio (at a random moment) between day 1 and 90 (hence the maximum investment horizon is 90 days):
De mediaan van belegging IND10-UT90 ligt het hoogste. De spreiding van deze belegging is ook kleiner waardoor het risico kleiner wordt. Hieruit kan afgeleid worden dat deze belegging het hoogste rendement biedt over de 90 dagen.
• There are no re-investments:
Zonder herinvesteren komt men na 90 dagen het hoogste rendement uit bij portfolio IND90_UT10. Dit komt omdat de spreiding hier groter is. De maximum waarde hier is 109,06
• The investor wants a return on investment that is significantly higher than 3.8%:
De laatste portfolio is hiervoor de oplossing aangezien de nodge boven de 104 staat.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100,00	100,00	100,00	100,00	100,00
100,39	100,37	100,35	100,33	100,31
100,15	100,26	100,38	100,50	100,61
100,21	100,37	100,52	100,68	100,84
100,03	100,18	100,34	100,49	100,64
99,58	99,78	99,97	100,17	100,36
99,40	99,64	99,88	100,13	100,37
99,77	100,01	100,26	100,50	100,75
100,41	100,67	100,93	101,19	101,45
100,12	100,50	100,88	101,25	101,63
99,83	100,28	100,73	101,18	101,63
99,73	100,24	100,74	101,25	101,75
98,74	99,49	100,25	101,00	101,76
98,44	99,36	100,29	101,22	102,14
98,79	99,68	100,57	101,46	102,35
99,60	100,42	101,24	102,05	102,87
99,82	100,75	101,69	102,62	103,55
99,85	100,87	101,89	102,90	103,92
100,01	101,04	102,07	103,10	104,13
100,28	101,36	102,43	103,51	104,58
100,63	101,57	102,51	103,45	104,39
101,14	101,93	102,71	103,50	104,29
101,51	102,37	103,22	104,08	104,93
102,41	103,10	103,79	104,48	105,17
102,46	103,22	103,99	104,75	105,52
102,09	102,96	103,83	104,70	105,57
101,99	102,77	103,55	104,33	105,11
101,52	102,38	103,24	104,11	104,97
102,44	103,10	103,77	104,43	105,09
103,42	103,90	104,37	104,85	105,33
103,63	104,12	104,61	105,11	105,60
103,28	103,75	104,21	104,68	105,14
103,98	104,37	104,77	105,16	105,56
103,56	103,94	104,33	104,71	105,09
103,42	103,78	104,14	104,51	104,87
103,92	104,15	104,37	104,59	104,81
103,81	104,01	104,20	104,40	104,60
103,09	103,33	103,58	103,83	104,07
102,60	103,05	103,51	103,96	104,41
102,77	103,08	103,39	103,71	104,02
102,60	102,86	103,11	103,37	103,62
102,88	103,08	103,28	103,48	103,68
102,17	102,50	102,83	103,15	103,48
101,85	102,20	102,56	102,91	103,27
101,66	102,14	102,62	103,10	103,58
101,91	102,28	102,66	103,03	103,41
102,13	102,43	102,72	103,02	103,31
102,71	102,82	102,92	103,02	103,13
103,17	103,22	103,26	103,31	103,36
102,89	102,95	103,02	103,08	103,14
102,94	103,14	103,33	103,53	103,73
103,33	103,45	103,57	103,68	103,80
103,75	103,68	103,61	103,54	103,46
104,11	103,98	103,85	103,72	103,60
104,77	104,49	104,22	103,94	103,67
104,62	104,39	104,15	103,92	103,68
105,00	104,76	104,52	104,28	104,04
105,74	105,51	105,27	105,03	104,79
105,94	105,77	105,60	105,43	105,26
106,37	106,18	105,99	105,80	105,62
106,65	106,44	106,23	106,03	105,82
107,08	106,74	106,40	106,05	105,71
106,77	106,51	106,25	106,00	105,74
107,21	106,97	106,74	106,50	106,26
107,34	107,15	106,96	106,78	106,59
107,12	106,93	106,74	106,55	106,36
106,86	106,73	106,59	106,46	106,33
106,92	106,78	106,65	106,51	106,37
106,95	106,75	106,56	106,36	106,17
107,23	106,96	106,69	106,42	106,16
106,94	106,80	106,66	106,51	106,37
106,62	106,51	106,40	106,29	106,18
105,94	105,97	105,99	106,01	106,03
105,91	105,95	105,99	106,03	106,08
106,52	106,45	106,38	106,31	106,24
106,85	106,63	106,41	106,19	105,97
107,22	106,99	106,75	106,52	106,28
107,28	107,09	106,90	106,71	106,52
107,86	107,57	107,29	107,00	106,72
107,68	107,46	107,24	107,02	106,80
108,07	107,82	107,56	107,31	107,06
107,87	107,66	107,45	107,23	107,02
107,65	107,50	107,35	107,19	107,04
108,16	107,89	107,63	107,36	107,09
108,60	108,24	107,88	107,51	107,15
108,92	108,57	108,21	107,86	107,50
109,66	109,22	108,78	108,34	107,90
109,87	109,40	108,94	108,48	108,02
109,54	109,10	108,66	108,22	107,78
109,06	108,72	108,38	108,04	107,70

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=21831&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=21831&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21831&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
IND90_UT1098.44101.51103.375106.86109.87
IND70_UT3099.36102.14103.715106.73109.4
IND50_UT5099.88102.62103.92106.41108.94
IND30_UT70100103.08104.365106.31108.48
IND10_UT90100103.46104.84106.17108.02

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
IND90_UT10 & 98.44 & 101.51 & 103.375 & 106.86 & 109.87 \tabularnewline
IND70_UT30 & 99.36 & 102.14 & 103.715 & 106.73 & 109.4 \tabularnewline
IND50_UT50 & 99.88 & 102.62 & 103.92 & 106.41 & 108.94 \tabularnewline
IND30_UT70 & 100 & 103.08 & 104.365 & 106.31 & 108.48 \tabularnewline
IND10_UT90 & 100 & 103.46 & 104.84 & 106.17 & 108.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21831&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]IND90_UT10[/C][C]98.44[/C][C]101.51[/C][C]103.375[/C][C]106.86[/C][C]109.87[/C][/ROW]
[ROW][C]IND70_UT30[/C][C]99.36[/C][C]102.14[/C][C]103.715[/C][C]106.73[/C][C]109.4[/C][/ROW]
[ROW][C]IND50_UT50[/C][C]99.88[/C][C]102.62[/C][C]103.92[/C][C]106.41[/C][C]108.94[/C][/ROW]
[ROW][C]IND30_UT70[/C][C]100[/C][C]103.08[/C][C]104.365[/C][C]106.31[/C][C]108.48[/C][/ROW]
[ROW][C]IND10_UT90[/C][C]100[/C][C]103.46[/C][C]104.84[/C][C]106.17[/C][C]108.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21831&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21831&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
IND90_UT1098.44101.51103.375106.86109.87
IND70_UT3099.36102.14103.715106.73109.4
IND50_UT5099.88102.62103.92106.41108.94
IND30_UT70100103.08104.365106.31108.48
IND10_UT90100103.46104.84106.17108.02






Boxplot Notches
Variablelower boundmedianupper bound
IND90_UT10102.483975564620103.375104.266024435380
IND70_UT30102.950550998431103.715104.479449001569
IND50_UT50103.288788297179103.92104.551211702821
IND30_UT70103.827054406303104.365104.902945593697
IND10_UT90104.388658650490104.84105.291341349510

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
IND90_UT10 & 102.483975564620 & 103.375 & 104.266024435380 \tabularnewline
IND70_UT30 & 102.950550998431 & 103.715 & 104.479449001569 \tabularnewline
IND50_UT50 & 103.288788297179 & 103.92 & 104.551211702821 \tabularnewline
IND30_UT70 & 103.827054406303 & 104.365 & 104.902945593697 \tabularnewline
IND10_UT90 & 104.388658650490 & 104.84 & 105.291341349510 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21831&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]IND90_UT10[/C][C]102.483975564620[/C][C]103.375[/C][C]104.266024435380[/C][/ROW]
[ROW][C]IND70_UT30[/C][C]102.950550998431[/C][C]103.715[/C][C]104.479449001569[/C][/ROW]
[ROW][C]IND50_UT50[/C][C]103.288788297179[/C][C]103.92[/C][C]104.551211702821[/C][/ROW]
[ROW][C]IND30_UT70[/C][C]103.827054406303[/C][C]104.365[/C][C]104.902945593697[/C][/ROW]
[ROW][C]IND10_UT90[/C][C]104.388658650490[/C][C]104.84[/C][C]105.291341349510[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21831&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21831&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
IND90_UT10102.483975564620103.375104.266024435380
IND70_UT30102.950550998431103.715104.479449001569
IND50_UT50103.288788297179103.92104.551211702821
IND30_UT70103.827054406303104.365104.902945593697
IND10_UT90104.388658650490104.84105.291341349510


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')