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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 computationMon, 03 Nov 2008 03:48:16 -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/03/t1225709348lxjry9yjgyf1g1u.htm/, Retrieved Sun, 19 May 2024 12:02:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20807, Retrieved Sun, 19 May 2024 12:02:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact221

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Notched Boxplots] [workshop 3] [2007-10-26 13:31:48] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F    D  [Notched Boxplots] [Q1 - Notched Boxplot] [2008-11-03 09:57:32] [a7f04e0e73ce3683561193958d653479]
-    D    [Notched Boxplots] [Task 2 - Notched ...] [2008-11-03 10:42:59] [a7f04e0e73ce3683561193958d653479]
F    D        [Notched Boxplots] [Task 2 - Notched ...] [2008-11-03 10:48:16] [f1a30f1149cef3ef3ef69d586c6c3c1c] [Current]
F RMPD          [Kendall tau Correlation Matrix] [EDA Part 2 - Q1 ] [2008-11-03 19:39:18] [a7f04e0e73ce3683561193958d653479]
F RMPD          [Star Plot] [EDA Part 2 - Q2] [2008-11-03 19:59:24] [a7f04e0e73ce3683561193958d653479]
F    D          [Notched Boxplots] [EDA Part 2 - Q3] [2008-11-03 20:15:28] [a7f04e0e73ce3683561193958d653479]
Feedback Forum
2008-11-06 13:41:29 [Dana Molenberghs] [reply] 
Er is een daling. Het is wel zo dat deze daling niet significant is. De Notched boxplots raken elkaar. Enkel de laatste ten opzichte van de eerste is een randgeval.
2008-11-08 10:00:08 [Astrid Sniekers] [reply] 
De investeringen zijn significant/duidelijk naar beneden gegaan sinds maart 2001 t.o.v. de drie andere tijdreeksen. De spreiding van de boxplots hebben hier niets mee te maken. We moeten enkel naar de mediaan kijken. De mediaan van de investeringen is 54,5 en kan maximum een waarde van 60.4071094925841 bereiken.
2008-11-09 14:01:51 [2df1bcd103d52957f4a39bd4617794c8] [reply] 
We stellen inderdaad vanaf maart 2001 de grootste relatieve daling vast bij de investeringen. Als je de investeringen analyseert merk je dat de upperbound lager is dan de lowerbound van alle andere data reeksen. De mediaan van de investeringen ligt bijgevolg lager dan de mediaan van de andere datareeksen.
2008-11-10 14:05:43 [Matthieu Blondeau] [reply] 
De Investeringen liggen significant lager dan de 3 andere reeksen, indien men de lijnen van de inkepingen doortrekken blijft men onder de betrouwbaarheidsintervallen van de 3 andere reeksen. De student geeft een foutief/irrelevant antwoord door te zeggen dat spreiding bij de Investeringen groter is dan bij de rest. De spreiding heeft niets te maken met de daling, er moet enkel naar de mediaan gekeken worden. In de tabel kan men ook aflezen dat de mediaan van de Investeringen bijna de helft bedraagt van de andere 3 reeksen. Hierdoor kan men concluderen dat de Investeringen de grootste relative decline heeft gehad.
2008-11-11 09:20:56 [Jens Peeters] [reply] 
De investering zijn het sterkst gedaald tegenover het basisjaar. Deze daling is ook significant aangezien het betrouwbaarheidsinterval van de investeringen de 3 anderen niet overlapt.
2008-11-11 15:37:51 [Yara Van Overstraeten] [reply] 
Het was inderdaad foutief om naar de spreiding te kijken in plaats van naar de mediaan. Als men inderdaad de lijnen van de 95% betrouwbaarheidsintervallen van de 4 datareeksen verlengt merkt men op dat deze van de investeringen niet overlapt met de anderen. De investeringen liggen dus significant lager dan de andere 3 tijdreeksen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,40	109,20	99,90	72,50
96,40	88,60	99,80	59,40
101,90	94,30	99,80	85,70
106,20	98,30	100,30	88,20
81,00	86,40	99,90	62,80
94,70	80,60	99,90	87,00
101,00	104,10	100,00	79,20
109,40	108,20	100,10	112,00
102,30	93,40	100,10	79,20
90,70	71,90	100,20	132,10
96,20	94,10	100,30	40,10
96,10	94,90	100,60	69,00
106,00	96,40	100,00	59,40
103,10	91,10	100,10	73,80
102,00	84,40	100,20	57,40
104,70	86,40	100,00	81,10
86,00	88,00	100,10	46,60
92,10	75,10	100,10	41,40
106,90	109,70	100,10	71,20
112,60	103,00	100,50	67,90
101,70	82,10	100,50	72,00
92,00	68,00	100,50	145,50
97,40	96,40	96,30	39,70
97,00	94,30	96,30	51,90
105,40	90,00	96,80	73,70
102,70	88,00	96,80	70,90
98,10	76,10	96,90	60,80
104,50	82,50	96,80	61,00
87,40	81,40	96,80	54,50
89,90	66,50	96,80	39,10
109,80	97,20	96,80	66,60
111,70	94,10	97,00	58,50
98,60	80,70	97,00	59,80
96,90	70,50	97,00	80,90
95,10	87,80	96,80	37,30
97,00	89,50	96,90	44,60
112,70	99,60	97,20	48,70
102,90	84,20	97,30	54,00
97,40	75,10	97,30	49,50
111,40	92,00	97,20	61,60
87,40	80,80	97,30	35,00
96,80	73,10	97,30	35,70
114,10	99,80	97,30	51,30
110,30	90,00	97,30	49,00
103,90	83,10	97,30	41,50
101,60	72,40	97,30	72,50
94,60	78,80	98,10	42,10
95,90	87,30	96,80	44,10
104,70	91,00	96,80	45,10
102,80	80,10	96,80	50,30
98,10	73,60	96,80	40,90
113,90	86,40	96,80	47,20
80,90	74,50	96,80	36,90
95,70	71,20	96,80	40,90
113,20	92,40	96,80	38,30
105,90	81,50	96,80	46,30
108,80	85,30	96,80	28,40
102,30	69,90	96,80	78,40
99,00	84,20	96,90	36,80
100,70	90,70	97,10	50,70
115,50	100,30	97,10	42,80

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20807&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]0 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=20807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20807&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 time0 seconds
R Server'George Udny Yule' @ 72.249.76.132






Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
Totaal8696.2101.7106115.5
Kledij66.580.687.394.1109.7
Afzetprijs96.396.897.3100100.6
Investeringen28.442.854.572112

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
Totaal & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
Kledij & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
Afzetprijs & 96.3 & 96.8 & 97.3 & 100 & 100.6 \tabularnewline
Investeringen & 28.4 & 42.8 & 54.5 & 72 & 112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20807&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]Totaal[/C][C]86[/C][C]96.2[/C][C]101.7[/C][C]106[/C][C]115.5[/C][/ROW]
[ROW][C]Kledij[/C][C]66.5[/C][C]80.6[/C][C]87.3[/C][C]94.1[/C][C]109.7[/C][/ROW]
[ROW][C]Afzetprijs[/C][C]96.3[/C][C]96.8[/C][C]97.3[/C][C]100[/C][C]100.6[/C][/ROW]
[ROW][C]Investeringen[/C][C]28.4[/C][C]42.8[/C][C]54.5[/C][C]72[/C][C]112[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20807&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
Totaal8696.2101.7106115.5
Kledij66.580.687.394.1109.7
Afzetprijs96.396.897.3100100.6
Investeringen28.442.854.572112






Boxplot Notches
Variablelower boundmedianupper bound
Totaal99.717476951119101.7103.682523048881
Kledij84.568973351031387.390.0310266489687
Afzetprijs96.652645535059397.397.9473544649407
Investeringen48.592890507415954.560.4071094925841

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
Totaal & 99.717476951119 & 101.7 & 103.682523048881 \tabularnewline
Kledij & 84.5689733510313 & 87.3 & 90.0310266489687 \tabularnewline
Afzetprijs & 96.6526455350593 & 97.3 & 97.9473544649407 \tabularnewline
Investeringen & 48.5928905074159 & 54.5 & 60.4071094925841 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20807&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]Totaal[/C][C]99.717476951119[/C][C]101.7[/C][C]103.682523048881[/C][/ROW]
[ROW][C]Kledij[/C][C]84.5689733510313[/C][C]87.3[/C][C]90.0310266489687[/C][/ROW]
[ROW][C]Afzetprijs[/C][C]96.6526455350593[/C][C]97.3[/C][C]97.9473544649407[/C][/ROW]
[ROW][C]Investeringen[/C][C]48.5928905074159[/C][C]54.5[/C][C]60.4071094925841[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20807&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
Totaal99.717476951119101.7103.682523048881
Kledij84.568973351031387.390.0310266489687
Afzetprijs96.652645535059397.397.9473544649407
Investeringen48.592890507415954.560.4071094925841


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')