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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 06:34:47 -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/t12256329224zsl89d3dtgvg4v.htm/, Retrieved Sat, 25 May 2024 19:51:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20553, Retrieved Sat, 25 May 2024 19:51:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

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] [Hypothesis Testin...] [2008-10-30 12:39:44] [38f43994ada0e6172896e12525dcc585]
F           [Notched Boxplots] [Hypothesis Testin...] [2008-11-02 13:34:47] [382e90e66f02be5ed86892bdc1574692] [Current]
Feedback Forum
2008-11-10 09:25:42 [Steffi Van Isveldt] [reply] 
Correcte berekening en interpretatie. Je ziet hier dat de mediaan van de tot. productie hoger ligt dan die van kledij. Goed opgemerkt dat de spreiding inderdaad geen effect heeft op de mediaan!
2008-11-10 13:39:25 [Michael Van Spaandonck] [reply] 
Ik kan me alleen maar aansluiten bij Steffi: uiteraard ligt de mediaan van de totale productie hoger dan die van kledingproductie.
Heel attent de laatste opmerking ivm spreiding genuanceerd.
2008-11-11 17:44:21 [Evelien Blockx] [reply] 
De medianen geven hier een verandering ten opzichte van het basisjaar. Zo valt op dat de mediaan iets boven 100 ligt bij de totale productie. Dat is een kleine stijging ten opzichte van het basisjaar. De mediaan van kledingproductie ligt een eindje onder de 100. Dat is een aanzienlijke daling ten opzichte van het basisjaar. De mediaan van kledingproductie ligt lager. Maar of deze beduidend (= significant) lager ligt, is op deze manier niet duidelijk.

Als ik wil kijken of de mediaan van kledingproductie significant lager ligt dan de mediaan van totale productie, moet ik de betrouwbaarheidsintervallen met elkaar vergelijken (dat zijn de inkepingen langs de zijkanten van de figuren in de notched boxplot). Je kan dit het beste zien door van de betrouwbaarheidsintervallen horizontale lijnen te maken. Als je dan de lijnen van het betrouwbaarheidsinterval van kledingproductie vergelijkt met de lijnen van het betrouwbaarheidsinterval van totale productie, dan valt op dat betrouwbaarheidsinterval kledingproductie duidelijk lager ligt dan het betrouwbaarheidsinterval van de totale productie. Bovendien overlappen beide betrouwbaarheidsintervallen elkaar totaal niet. De mediaan van kledingproductie is dus significant lager dan de mediaan van totale productie.

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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'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=20553&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=20553&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20553&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
X18696.2101.7106115.5
X266.580.687.394.1109.7

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
X1 & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
X2 & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20553&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]X1[/C][C]86[/C][C]96.2[/C][C]101.7[/C][C]106[/C][C]115.5[/C][/ROW]
[ROW][C]X2[/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=20553&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20553&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
X18696.2101.7106115.5
X266.580.687.394.1109.7






Boxplot Notches
Variablelower boundmedianupper bound
X199.717476951119101.7103.682523048881
X284.568973351031387.390.0310266489687

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
X1 & 99.717476951119 & 101.7 & 103.682523048881 \tabularnewline
X2 & 84.5689733510313 & 87.3 & 90.0310266489687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20553&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]X1[/C][C]99.717476951119[/C][C]101.7[/C][C]103.682523048881[/C][/ROW]
[ROW][C]X2[/C][C]84.5689733510313[/C][C]87.3[/C][C]90.0310266489687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20553&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20553&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
X199.717476951119101.7103.682523048881
X284.568973351031387.390.0310266489687


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')