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Author's title

Author

*Unverified author*

R Software Module

rwasp_notchedbox1.wasp

Title produced by software

Notched Boxplots

Date of computation

Sat, 01 Nov 2008 12:39:57 -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/t1225564865ayd1ok9t1ctck3h.htm/, Retrieved Sun, 19 May 2024 11:30:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20456, Retrieved Sun, 19 May 2024 11:30:49 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

261

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]
-    D  [Notched Boxplots] [Workshop 3 Q1] [2008-11-01 17:28:58] [74be16979710d4c4e7c6647856088456]
F         [Notched Boxplots] [WS3 Q1] [2008-11-01 17:34:02] [74be16979710d4c4e7c6647856088456]
F   PD        [Notched Boxplots] [WS3 T2.3] [2008-11-01 18:39:57] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F   P           [Notched Boxplots] [T2] [2008-11-03 21:49:58] [547636b63517c1c2916a747d66b36ebf] 

Feedback Forum

2008-11-07 13:33:48 [Siem Van Opstal] [reply] 
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.
2008-11-07 15:23:03 [Sofie Vanbrabant] [reply] 
Hier moet je inderdaad niet kijken naar de spreiding, maar naar de mediaan. 
Die ligt inderdaad significant lager bij investeringen dan bij de rest aangezien die niet valt binnen het betrouwbaarheidsinterval van de anderen.
  2008-11-10 22:41:04 [Nilay Erdogdu] [reply] 
conclusie van deze student ix correct.
2008-11-08 15:28:11 [Kim Huysmans] [reply] 
De investeringen zijn duidelijk gedaald sinds maart 2001 (t.o.v. de drie andere tijdreeksen). De spreiding van de boxplots hebben hier niets mee te maken. Je moet hiervoor naar de mediaan kijken.
2008-11-09 16:56:45 [Kevin Engels] [reply] 
De student geeft het correcte antwoord.  
Op de notched boxplot merken we duidelijk dat de mediaan van de investeringen veel lager liggen dan de andere boxplots en dat daar dus het meeste verval op zit. Het is wel belangrijk dat we niet naar de spreiding gaan kijken want dit heeft niks met de vraag te maken! Enkel dus naar de mediaan en de notches kijken.
2008-11-11 13:11:06 [Bernard Femont] [reply] 
Een juist gegeven antwoord door de student. De mediaan ligt significant lager bij investeringen (x4 54,5) dan bij de rest aangezien die niet valt binnen het betrouwbaarheidsinterval van de andere waardes. Hier gaan we dus niet naar de variantie kijken, dit is irrelevant voor deze vraag. 
2008-11-11 22:47:36 [Joachim Van Hemelen] [reply] 
De student antwoord niet geheel op de gestelde vraag (dat de investeringen de grootste relatieve terugval hebben sinds maart 2001) 
 
De mediaan van de investeringen ligt inderdaad het laagst. 
 
Er zijn geen overlappingen van het BI (betrouwbaarheidsinterval) van investeringen met de andere BI’s. De investeringen liggen significant lager dan de rest, dit is niet aan toeval te wijten. Het geeft eveneens aan dat investeringen de grootste relatieve terugval kennen sinds maart 2001. 
 
 
De spreiding van de box plot heeft met deze vraagstelling niks te maken. 

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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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20456&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20456&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20456&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
x1	86	96.2	101.7	106	115.5
x2	66.5	80.6	87.3	94.1	109.7
x3	96.3	96.8	97.3	100	100.6
x4	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
x1 & 86 & 96.2 & 101.7 & 106 & 115.5 \tabularnewline
x2 & 66.5 & 80.6 & 87.3 & 94.1 & 109.7 \tabularnewline
x3 & 96.3 & 96.8 & 97.3 & 100 & 100.6 \tabularnewline
x4 & 28.4 & 42.8 & 54.5 & 72 & 112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20456&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]
[ROW][C]x3[/C][C]96.3[/C][C]96.8[/C][C]97.3[/C][C]100[/C][C]100.6[/C][/ROW]
[ROW][C]x4[/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=20456&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20456&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
x1	86	96.2	101.7	106	115.5
x2	66.5	80.6	87.3	94.1	109.7
x3	96.3	96.8	97.3	100	100.6
x4	28.4	42.8	54.5	72	112

Boxplot Notches
Variable	lower bound	median	upper bound
x1	99.717476951119	101.7	103.682523048881
x2	84.5689733510313	87.3	90.0310266489687
x3	96.6526455350593	97.3	97.9473544649407
x4	48.5928905074159	54.5	60.4071094925841

\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
x3 & 96.6526455350593 & 97.3 & 97.9473544649407 \tabularnewline
x4 & 48.5928905074159 & 54.5 & 60.4071094925841 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20456&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]
[ROW][C]x3[/C][C]96.6526455350593[/C][C]97.3[/C][C]97.9473544649407[/C][/ROW]
[ROW][C]x4[/C][C]48.5928905074159[/C][C]54.5[/C][C]60.4071094925841[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=20456&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20456&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
x1	99.717476951119	101.7	103.682523048881
x2	84.5689733510313	87.3	90.0310266489687
x3	96.6526455350593	97.3	97.9473544649407
x4	48.5928905074159	54.5	60.4071094925841

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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