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Author's title

Author

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R Software Module

rwasp_notchedbox1.wasp

Title produced by software

Notched Boxplots

Date of computation

Sat, 01 Nov 2008 05:17:50 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/01/t1225538296hkjtlcbbor0gqib.htm/, Retrieved Sun, 19 May 2024 11:29:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20350, Retrieved Sun, 19 May 2024 11:29:07 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

239

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] [] [2008-11-01 11:17:50] [19ef54504342c1b076371d395a2ab19f] [Current]
F R         [Notched Boxplots] [] [2008-11-01 11:34:29] [a4ee3bef49b119f4bd2e925060c84f5e] 
F             [Notched Boxplots] [Task 3] [2008-11-03 19:11:09] [2b46c8b774ad566be9a33a8da3812a44] 
F             [Notched Boxplots] [] [2008-11-03 20:12:32] [888addc516c3b812dd7be4bd54caa358] 
-               [Notched Boxplots] [] [2008-11-03 20:49:59] [2a0ad3a9bcadca2da0acb91636601c6c] 
-               [Notched Boxplots] [] [2008-11-10 11:57:58] [888addc516c3b812dd7be4bd54caa358] 
F           [Notched Boxplots] [Notched boxplots ...] [2008-11-02 12:30:11] [ffbe22449df335faef31f462015daa42] 
F R           [Notched Boxplots] [Notched boxplots ...] [2008-11-02 13:01:39] [ffbe22449df335faef31f462015daa42] 
F           [Notched Boxplots] [Task 2] [2008-11-03 19:07:00] [2b46c8b774ad566be9a33a8da3812a44] 
-             [Notched Boxplots] [Task 2] [2008-11-07 15:26:17] [d134696a922d84037f02d49ded84b0bd] 
- R             [Notched Boxplots] [Task 3] [2008-11-07 15:29:03] [d134696a922d84037f02d49ded84b0bd] 
F           [Notched Boxplots] [] [2008-11-03 20:10:24] [888addc516c3b812dd7be4bd54caa358] 
-             [Notched Boxplots] [] [2008-11-03 20:47:37] [2a0ad3a9bcadca2da0acb91636601c6c] 
-             [Notched Boxplots] [] [2008-11-10 11:46:27] [888addc516c3b812dd7be4bd54caa358] 

Feedback Forum

2008-11-06 14:53:22 [Nathalie Koulouris] [reply] 
De student heeft deze vraag correct beantwoord. Je kan duidelijk afleiden van de grafiek dat de investeringen naar beneden zijn gegaan want de mediaan van investeringen ligt significant lager dan de rest.
2008-11-07 13:14:49 [Siem Van Opstal] [reply] 
Juiste conclusie, de mediaan van de investeringen ligt signicifant lager dan de rest. Dat zien we duidelijk bij de notched boxplots. Het heeft niets te maken met de spreiding maar enkel met de liggen tegenover de andere boxplots
2008-11-08 12:52:50 [Ruben Jacobs] [reply] 
Hier moet je inderdaad kijken naar de mediaan, deze ligt bij de investeringen significant lager. De spreiding heeft hier niets met te maken.  
Je kan dit ook zien in de tabel van de boxplot notches. De lowerbound en het upperbound stellen de laagste en hoogste grens voor waarbinnen de mediaan kan fluctueren; dit is het betrouwbaarheidinterval dus. De upperbound van de investeringen ligt lager dan de lowerbound van de 3 andere reeksen.
2008-11-09 15:38:41 [2df1bcd103d52957f4a39bd4617794c8] [reply] 
De student trekt een juiste conclusie, vanaf maart 2001 kenden de investeringen de grootste relatieve daling. 
 
We bekijken de investeringen en merken dat de upperbound lager is dan de lowerbound van alle andere datareeksen. De mediaan van de investeringen ligt dus lager dan de mediaan van de andere reeksen. 
 
2008-11-11 11:36:21 [90714a39acc78a7b2ecd294ecc6b2864] [reply] 
Een grote spreiding zegt niets over de relatieve daling t.o.v. basis 100. De notches liggen een stuk lager als de rest en t.o.v. basis 100. In de tabel kan je zien dat de upper bound van de investeringen duidelijk lager is dan de lower bound van de andere 3. 

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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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20350&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]3 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=20350&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20350&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
totaleprod	86	96.2	101.7	106	115.5
prodkled	66.5	80.6	87.3	94.1	109.7
afzetprijs	96.3	96.8	97.3	100	100.6
invest	28.4	42.8	54.5	72	112

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
totaleprod & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
prodkled & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
afzetprijs & 96.3 & 96.8 & 97.3 & 100 & 100.6 \tabularnewline
invest & 28.4 & 42.8 & 54.5 & 72 & 112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20350&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]totaleprod[/C][C]86[/C][C]96.2[/C][C]101.7[/C][C]106[/C][C]115.5[/C][/ROW]
[ROW][C]prodkled[/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]invest[/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=20350&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20350&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
totaleprod	86	96.2	101.7	106	115.5
prodkled	66.5	80.6	87.3	94.1	109.7
afzetprijs	96.3	96.8	97.3	100	100.6
invest	28.4	42.8	54.5	72	112

Boxplot Notches
Variable	lower bound	median	upper bound
totaleprod	99.717476951119	101.7	103.682523048881
prodkled	84.5689733510313	87.3	90.0310266489687
afzetprijs	96.6526455350593	97.3	97.9473544649407
invest	48.5928905074159	54.5	60.4071094925841

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
totaleprod & 99.717476951119 & 101.7 & 103.682523048881 \tabularnewline
prodkled & 84.5689733510313 & 87.3 & 90.0310266489687 \tabularnewline
afzetprijs & 96.6526455350593 & 97.3 & 97.9473544649407 \tabularnewline
invest & 48.5928905074159 & 54.5 & 60.4071094925841 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20350&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]totaleprod[/C][C]99.717476951119[/C][C]101.7[/C][C]103.682523048881[/C][/ROW]
[ROW][C]prodkled[/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]invest[/C][C]48.5928905074159[/C][C]54.5[/C][C]60.4071094925841[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20350&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20350&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Boxplot Notches
Variable	lower bound	median	upper bound
totaleprod	99.717476951119	101.7	103.682523048881
prodkled	84.5689733510313	87.3	90.0310266489687
afzetprijs	96.6526455350593	97.3	97.9473544649407
invest	48.5928905074159	54.5	60.4071094925841

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code