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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_bidensity.wasp
Title produced by softwareBivariate Kernel Density Estimation
Date of computationTue, 16 Nov 2010 18:52:20 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/16/t1289933442yqpfkid154hv0e9.htm/, Retrieved Wed, 11 Feb 2026 22:23:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96269, Retrieved Wed, 11 Feb 2026 22:23:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact371

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RMPD  [Histogram] [ws 6 histogram] [2010-11-15 22:09:04] [eeb33d252044f8583501f5ba0605ad6d]
-    D    [Histogram] [] [2010-11-16 18:08:54] [b5270422961e5ddcdd8e2d3f0ce86384]
- RMPD        [Bivariate Kernel Density Estimation] [WS 6 tutorial ker...] [2010-11-16 18:52:20] [6df2229e3f2091de42c4a9cf9a617420] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1
4
5
2
1
1
2
1
1
1
3
1
1
1
2
4
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
4
2
2
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
2
4
1
1
1
2
3
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
5
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
2
2
4
4
1
1
1
1
4
1
1
1
1
3
1
1
1
4
4
1
2
1
2
1
3
2
2
1
1
2
1
2
2
1
1
2
1
2
1
1
1
1
1
1
1
1
Dataseries Y:
Download CSV
Histogram 
3
1
1
1
1
3
1
1
3
3
1
2
3
4
4
1
1
4
1
1
1
4
1
1
3
2
1
3
1
1
3
1
3
1
1
1
1
2
5
2
2
2
1
4
1
1
1
1
3
1
2
2
1
1
2
3
2
1
1
1
1
1
1
1
2
1
3
2
3
2
2
2
1
4
1
1
1
1
2
2
3
3
3
3
1
1
1
1
1
3
1
1
1
3
3
3
1
2
2
3
1
2
4
1
1
2
3
2
1
4
1
3
1
1
1
1
2
2
4
2
1
1
1
2
4
3
1
2
2
1
2
1
2
1
1
2
1
1
3
3
4
4
4
5
2
3
3
3
2
1
2
1
3
1
5
1
1
4
3
1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96269&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96269&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96269&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Bandwidth
x axis0.0739805888606759
y axis0.144900649810612
Correlation
correlation used in KDE-0.155940336884006
correlation(x,y)-0.155940336884006

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.0739805888606759 \tabularnewline
y axis & 0.144900649810612 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & -0.155940336884006 \tabularnewline
correlation(x,y) & -0.155940336884006 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96269&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.0739805888606759[/C][/ROW]
[ROW][C]y axis[/C][C]0.144900649810612[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]-0.155940336884006[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]-0.155940336884006[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96269&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96269&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:

Bandwidth
x axis0.0739805888606759
y axis0.144900649810612
Correlation
correlation used in KDE-0.155940336884006
correlation(x,y)-0.155940336884006


Figures (Output of Computation)

Input Parameters & R Code

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')