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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, 15 Nov 2008 08:38:28 -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/15/t1226763573nvwd8zyx89419h0.htm/, Retrieved Wed, 11 Feb 2026 10:50:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24944, Retrieved Wed, 11 Feb 2026 10:50:10 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

475

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

-       [Bivariate Kernel Density Estimation] [Kernell: suiker e...] [2008-11-15 15:38:28] [3fc0b50a130253095e963177b0139835] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

0.94
0.94
0.94
0.94
0.94
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.94
0.94
0.94
0.93
0.93
0.93
0.93
0.93
0.94
0.93
0.94
0.94
0.95
0.95
0.95
0.95
0.95
0.95
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.97
0.96
0.97
0.97
0.97
0.97
0.98
0.98
0.98
0.98
0.98
0.98
0.98
0.98
0.98
0.99
0.99
0.99
0.99
0.98
0.98
0.99
0.99

Dataseries Y:

Download CSV

Histogram

5,93
5,9
5,9
5,94
5,86
5,92
5,9
5,91
5,84
5,84
5,83
5,82
5,8
5,91
5,92
5,96
5,9
5,92
6,09
6,31
6,25
6,23
6,22
6,19
6,15
6,12
6,13
6,1
6,05
6,07
6,09
6,17
6,12
6,12
6,13
6,19
6,24
6,41
6,5
6,53
6,58
6,53
6,51
6,51
6,49
6,49
6,49
6,53
6,65
6,61
6,52
6,62
6,6
6,61
6,63
6,62
6,6
6,59
6,59
6,52
6,52
6,61
6,59
6,6
6,48
6,53
6,56
6,56
6,49
6,45
6,44
6,43

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	'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 & 2 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=24944&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24944&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24944&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Bandwidth
x axis	0.00597061960727952
y axis	0.0663508307264918
Correlation
correlation used in KDE	0.858202884354984
correlation(x,y)	0.858202884354984

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.00597061960727952 \tabularnewline
y axis & 0.0663508307264918 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.858202884354984 \tabularnewline
correlation(x,y) & 0.858202884354984 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24944&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.00597061960727952[/C][/ROW]
[ROW][C]y axis[/C][C]0.0663508307264918[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.858202884354984[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.858202884354984[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24944&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24944&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	0.00597061960727952
y axis	0.0663508307264918
Correlation
correlation used in KDE	0.858202884354984
correlation(x,y)	0.858202884354984

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