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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_notchedbox1.wasp
Title produced by softwareNotched Boxplots
Date of computationThu, 06 Nov 2008 12:25:19 -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/06/t1225999554lxurieia7pxrx40.htm/, Retrieved Mon, 13 May 2024 21:00:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22380, Retrieved Mon, 13 May 2024 21:00:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact201

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] [Task 2: reuse the...] [2008-10-28 20:52:58] [1e1d8320a8a1170c475bf6e4ce119de6]
F           [Notched Boxplots] [] [2008-11-06 19:25:19] [ffe1355fa7fe5626118ee2c4cacbba88] [Current]
Feedback Forum
2008-11-09 16:13:09 [Steven Vercammen] [reply] 
Het is inderdaad zo dat de investeringen tijdreeks de grootste daling heeft ondervonden vanaf maart 2001. De student vermeldt wel niet dat het verschil significant is omdat de inkepingen van de boxplots niet overlappen. Hij merkt wel terecht op dat er 2 grote outliers zijn bij de investeringenreeks , maar deze hebben enkel invloed op het gemiddelde en bij de notched boxplots kijkt men naar de mediaan de in veel mindere mate wordt beïnvloed door outliers.
2008-11-09 19:20:56 [006ad2c49b6a7c2ad6ab685cfc1dae56] [reply] 
Het is duidelijk dat de investeringen het sterkst gedaald zijn sinds maart 2001. Er zijn significante verschillen tussen de investeringen en de andere gegevens, de inkepingen overlappen mekaar niet. De mediaan van de investeringen ligt veel lager
2008-11-10 21:22:21 [Jonas Scheltjens] [reply] 
Het is correct om te bweren dat de veronderstellingjuist is. De student verwijst terecht naar de 2 extreme outliers in de boxplot voor de investeringen, maar dat is veel minder relevant als het over notched boxplots gaat. De student zou beter ook nog aantonen dat, doordat de inkepingen niet overlappen, het verschil significant is. Eventueel nog vermelden dat men ook in de tabel kan zien dat de mediaan(met waarde 82,45) significant verschilt van de waarde van het basisjaar (nl. 100).
2008-11-12 10:10:49 [407693b66d7f2e0b350979005057872d] [reply] 
We zien dat de investeringen het meeste zijn achteruitgegaan omdat deze mediaan het laagtste ligt tov het basisjaar. De inkepingen van de Notched boxplots overlappen elkaar niet dus het is hier niet toevallig dat de mediaan van de investeringen het laagste ligt. De afzetprijs en de totaalproductie zijn ongeveer gelijk gebleven

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110.4	109.2	99.9	72.5
96.4	88.6	99.8	59.4
101.9	94.3	99.8	85.7
106.2	98.3	100.3	88.2
81.00	86.4	99.9	62.8
94.7	80.6	99.9	87.00
101.00	104.1	100.00	79.2
109.4	108.2	100.1	112.00
102.3	93.4	100.1	79.2
90.7	71.9	100.2	132.1
96.2	94.1	100.3	40.1
96.1	94.9	100.6	69.00
106.00	96.4	100.00	59.4
103.1	91.1	100.1	73.8
102.00	84.4	100.2	57.4
104.7	86.4	100.00	81.1
86.00	88.00	100.1	46.6
92.1	75.1	100.1	41.4
106.9	109.7	100.1	71.2
112.6	103.00	100.5	67.9
101.7	82.1	100.5	72.00
92.00	68.00	100.5	145.5
97.4	96.4	96.3	39.7
97.00	94.3	96.3	51.9
105.4	90.00	96.8	73.7
102.7	88.00	96.8	70.9
98.1	76.1	96.9	60.8
104.5	82.5	96.8	61.00
87.4	81.4	96.8	54.5
89.9	66.5	96.8	39.1
109.8	97.2	96.8	66.6
111.7	94.1	97.00	58.5
98.6	80.7	97.00	59.8
96.9	70.5	97.00	80.9
95.1	87.8	96.8	37.3
97.00	89.5	96.9	44.6
112.7	99.6	97.2	48.7
102.9	84.2	97.3	54.00
97.4	75.1	97.3	49.5
111.4	92.00	97.2	61.6
87.4	80.8	97.3	35.00
96.8	73.1	97.3	35.7
114.1	99.8	97.3	51.3
110.3	90.00	97.3	49.00
103.9	83.1	97.3	41.5
101.6	72.4	97.3	72.5
94.6	78.8	98.1	42.1
95.9	87.3	96.8	44.1
104.7	91.00	96.8	45.1
102.8	80.1	96.8	50.3
98.1	73.6	96.8	40.9
113.9	86.4	96.8	47.2
80.9	74.5	96.8	36.9
95.7	71.2	96.8	40.9
113.2	92.4	96.8	38.3
105.9	81.5	96.8	46.3
108.8	85.3	96.8	28.4
102.3	69.9	96.8	78.4
99.00	84.2	96.9	36.8
100.7	90.7	97.1	50.7
115.5	100.3	97.1	42.8

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'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=22380&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=22380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22380&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'Gwilym Jenkins' @ 72.249.127.135






Boxplot statistics
Variablelower whiskerlower hingemedianupper hingeupper whisker
totale_industrie8696.2101.7106115.5
kledingproductie66.580.687.394.1109.7
afzetprijsindex96.396.897.3100100.6
investeringen28.442.854.572112

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
totale_industrie & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
kledingproductie & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
afzetprijsindex & 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=22380&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]totale_industrie[/C][C]86[/C][C]96.2[/C][C]101.7[/C][C]106[/C][C]115.5[/C][/ROW]
[ROW][C]kledingproductie[/C][C]66.5[/C][C]80.6[/C][C]87.3[/C][C]94.1[/C][C]109.7[/C][/ROW]
[ROW][C]afzetprijsindex[/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=22380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22380&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
totale_industrie8696.2101.7106115.5
kledingproductie66.580.687.394.1109.7
afzetprijsindex96.396.897.3100100.6
investeringen28.442.854.572112






Boxplot Notches
Variablelower boundmedianupper bound
totale_industrie99.717476951119101.7103.682523048881
kledingproductie84.568973351031387.390.0310266489687
afzetprijsindex96.652645535059397.397.9473544649407
investeringen48.592890507415954.560.4071094925841

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
totale_industrie & 99.717476951119 & 101.7 & 103.682523048881 \tabularnewline
kledingproductie & 84.5689733510313 & 87.3 & 90.0310266489687 \tabularnewline
afzetprijsindex & 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=22380&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]totale_industrie[/C][C]99.717476951119[/C][C]101.7[/C][C]103.682523048881[/C][/ROW]
[ROW][C]kledingproductie[/C][C]84.5689733510313[/C][C]87.3[/C][C]90.0310266489687[/C][/ROW]
[ROW][C]afzetprijsindex[/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=22380&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22380&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
totale_industrie99.717476951119101.7103.682523048881
kledingproductie84.568973351031387.390.0310266489687
afzetprijsindex96.652645535059397.397.9473544649407
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')