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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 computationSun, 02 Nov 2008 01:31:57 -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/02/t1225614756ndu5jsch3voabzw.htm/, Retrieved Sun, 19 May 2024 07:50:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20471, Retrieved Sun, 19 May 2024 07:50:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact210

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   PD    [Notched Boxplots] [Q1: notched boxplots] [2008-11-02 08:31:57] [54ae75b68e6a45c6d55fa4235827d5b3] [Current]
F    D      [Notched Boxplots] [Task 2] [2008-11-02 10:21:01] [4396f984ebeab43316cd6baa88a4fd40]
F    D        [Notched Boxplots] [Q3 deel 2] [2008-11-02 13:43:10] [4396f984ebeab43316cd6baa88a4fd40]
F R             [Notched Boxplots] [Harrell - Davis Q...] [2008-11-03 19:27:48] [b943bd7078334192ff8343563ee31113]
F R           [Notched Boxplots] [Task 3 ] [2008-11-03 18:12:06] [4396f984ebeab43316cd6baa88a4fd40]
-   P           [Notched Boxplots] [Logaritme] [2008-11-10 14:14:20] [1ce0d16c8f4225c977b42c8fa93bc163]
Feedback Forum
2008-11-08 10:36:33 [Astrid Sniekers] [reply] 
Mijn antwoord is correct, maar niet volledig. Bij de totale productie ligt de mediaan iets boven de index van 100. Dit wil zeggen dat de industriële productie lichtjes gestegen is t.o.v. het basisjaar. De inkepingen van de boxplots stellen de 95% betrouwbaarheidsintervallen voor. Tussen dit betrouwbaarheidsinterval kan de mediaan verschuiven. De mediaan van de kledingproductie ligt SIGNIFICANT lager dan de mediaan van de totale productie. Dit weten we door de lijnen van de betrouwbaarheidsintervallen door te trekken. We zien dan dat ze niet overlappen en kunnen bijgevolg toeval uitsluiten.
Dat de spreiding het kleinst is waar de mediaan het hoogst ligt, is louter toevallig.
2008-11-11 15:07:11 [Ellen Smolders] [reply] 
De student heeft de juiste berekeningen gemaakt en het juiste antwoord gegeven. Er kunnen nog wel enkele opmerkingen worden bijgevoegd:

We kunnen afleiden dat de mediaan van TP inderdaad hoger ligt dan KP, dit betekent dat TP lichtjes gestegen is tegenover het basisjaar 100 (=2000) en dat KP in België daalt ten opzichte van het basisjaar 100. Wanneer we de mediaan van KP doortrekken, valt deze nog net binnen het betrouwbaarheidsinterval van KP. Hieruit kunnen we besluiten dat de mediaan van KP significant lager ligt dan de mediaan van TP. Dit is niet te wijten aan een toevalligheid.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110.40	109.20
96.40	88.60
101.90	94.30
106.20	98.30
81.00	86.40
94.70	80.60
101.00	104.10
109.40	108.20
102.30	93.40
90.70	71.90
96.20	94.10
96.10	94.90
106.00	96.40
103.10	91.10
102.00	84.40
104.70	86.40
86.00	88.00
92.10	75.10
106.90	109.70
112.60	103.00
101.70	82.10
92.00	68.00
97.40	96.40
97.00	94.30
105.40	90.00
102.70	88.00
98.10	76.10
104.50	82.50
87.40	81.40
89.90	66.50
109.80	97.20
111.70	94.10
98.60	80.70
96.90	70.50
95.10	87.80
97.00	89.50
112.70	99.60
102.90	84.20
97.40	75.10
111.40	92.00
87.40	80.80
96.80	73.10
114.10	99.80
110.30	90.00
103.90	83.10
101.60	72.40
94.60	78.80
95.90	87.30
104.70	91.00
102.80	80.10
98.10	73.60
113.90	86.40
80.90	74.50
95.70	71.20
113.20	92.40
105.90	81.50
108.80	85.30
102.30	69.90
99.00	84.20
100.70	90.70
115.50	100.30

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=20471&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=20471&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20471&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
Total8696.2101.7106115.5
Clothing66.580.687.394.1109.7

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
Total & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
Clothing & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20471&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]Total[/C][C]86[/C][C]96.2[/C][C]101.7[/C][C]106[/C][C]115.5[/C][/ROW]
[ROW][C]Clothing[/C][C]66.5[/C][C]80.6[/C][C]87.3[/C][C]94.1[/C][C]109.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20471&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20471&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
Total8696.2101.7106115.5
Clothing66.580.687.394.1109.7






Boxplot Notches
Variablelower boundmedianupper bound
Total99.717476951119101.7103.682523048881
Clothing84.568973351031387.390.0310266489687

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
Total & 99.717476951119 & 101.7 & 103.682523048881 \tabularnewline
Clothing & 84.5689733510313 & 87.3 & 90.0310266489687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20471&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]Total[/C][C]99.717476951119[/C][C]101.7[/C][C]103.682523048881[/C][/ROW]
[ROW][C]Clothing[/C][C]84.5689733510313[/C][C]87.3[/C][C]90.0310266489687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20471&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20471&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
Total99.717476951119101.7103.682523048881
Clothing84.568973351031387.390.0310266489687


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = red ;
Parameters (R input):
par1 = red ;
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')