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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_bidensity.wasp

Title produced by software

Bivariate Kernel Density Estimation

Date of computation

Sat, 08 Nov 2008 09:04:41 -0700

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/08/t1226160310bimxqt3g5rtw0v3.htm/, Retrieved Wed, 26 Aug 2026 11:17:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22614, Retrieved Wed, 26 Aug 2026 11:17:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

499

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F       [Bivariate Kernel Density Estimation] [Various EDA topic...] [2008-11-08 16:04:41] [0f30549460cf4ec26d9cf94b1fcf7789] [Current]

Feedback Forum

2008-11-24 18:07:37 [Niels Herremans] [reply] 
Ook hier is er een juiste berekening gemaakt maar geen conclusie getrokken. Er is hier een hoge positieve correlatie van 0.95. Op de grafiek worden punten met een gelijke density met elkaar verbonden en zo ontstaan er 'hoogtelijnen'. Op de grafiek is te zien dat de cluster en punten dicht bij de stijgende rechte liggen wat duidt op de hoge positieve correlatie. 

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Dataseries X:

Download CSV

Histogram

Boxplots

0.33
0.33
0.32
0.33
0.34
0.36
0.34
0.33
0.35
0.31
0.28
0.26
0.26
0.26
0.29
0.30
0.30
0.28
0.29
0.29
0.32
0.33
0.29
0.31
0.33
0.36
0.39
0.30
0.27
0.28
0.29
0.30
0.30
0.30
0.31
0.30
0.31
0.29
0.32
0.33
0.35
0.35
0.36
0.40
0.40
0.47
0.43
0.38
0.38
0.40
0.45
0.47
0.45
0.50
0.54
0.55
0.59
0.51
0.50
0.50

Dataseries Y:

Download CSV

Histogram

1,00
1,04
1,02
1,07
1,12
1,08
1,02
1,01
1,04
0,98
0,95
0,94
0,94
0,96
0,97
1,03
1,01
0,99
1,00
1,00
1,02
1,01
0,99
0,98
1,01
1,03
1,03
1,00
0,96
0,97
0,98
1,02
1,04
1,01
1,01
1,00
1,01
1,02
1,03
1,06
1,12
1,12
1,13
1,13
1,13
1,17
1,14
1,08
1,07
1,12
1,14
1,21
1,20
1,23
1,29
1,31
1,37
1,35
1,26
1,26

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22614&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]2 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=22614&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22614&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Bandwidth
x axis	0.0223288570000657
y axis	0.0263454701398072
Correlation
correlation used in KDE	0.958587088563703
correlation(x,y)	0.958587088563703

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.0223288570000657 \tabularnewline
y axis & 0.0263454701398072 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.958587088563703 \tabularnewline
correlation(x,y) & 0.958587088563703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22614&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.0223288570000657[/C][/ROW]
[ROW][C]y axis[/C][C]0.0263454701398072[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.958587088563703[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.958587088563703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22614&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22614&T=1

As an alternative you can also use a QR Code:

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

Bandwidth
x axis	0.0223288570000657
y axis	0.0263454701398072
Correlation
correlation used in KDE	0.958587088563703
correlation(x,y)	0.958587088563703

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ;

Parameters (R input):

par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ;

R code (references can be found in the software module):

par1 <- as(par1,'numeric')
par2 <- as(par2,'numeric')
par3 <- as(par3,'numeric')
par4 <- as(par4,'numeric')
par5 <- as(par5,'numeric')
library('GenKern')
if (par3==0) par3 <- dpik(x)
if (par4==0) par4 <- dpik(y)
if (par5==0) par5 <- cor(x,y)
if (par1 > 500) par1 <- 500
if (par2 > 500) par2 <- 500
bitmap(file='bidensity.png')
op <- KernSur(x,y, xgridsize=par1, ygridsize=par2, correlation=par5, xbandwidth=par3, ybandwidth=par4)
image(op$xords, op$yords, op$zden, col=terrain.colors(100), axes=TRUE,main=main,xlab=xlab,ylab=ylab)
if (par6=='Y') contour(op$xords, op$yords, op$zden, add=TRUE)
if (par7=='Y') points(x,y)
(r<-lm(y ~ x))
abline(r)
box()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Bandwidth',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x axis',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'y axis',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'correlation used in KDE',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'correlation(x,y)',header=TRUE)
a<-table.element(a,cor(x,y))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code