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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_bidensity.wasp
Title produced by softwareBivariate Kernel Density Estimation
Date of computationSun, 04 Nov 2007 09:35:06 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/04/tt8botvgnvrplm91194194038.htm/, Retrieved Tue, 10 Feb 2026 11:46:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=363, Retrieved Tue, 10 Feb 2026 11:46:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact517

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Bivariate Kernel Density Estimation] [bivariate density] [2007-11-04 16:35:06] [a1ee67c0c4cd462b4e85e70c1c0a96bd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18
18
18
18
21,6
21,6
21,6
20,1
20,1
20,1
22,9
22,9
22,9
24
24
24
20,3
20,3
20,3
15,8
15,8
15,8
23,3
23,3
23,3
20,9
20,9
20,9
19,8
19,8
19,8
20,6
20,6
20,6
21,1
21,1
21,1
22,4
22,4
22,4
20,5
20,5
20,5
18,4
18,4
18,4
17,6
17,6
17,6
18,5
18,5
18,5
17,3
17,3
17,3
16,2
16,2
16,2
18
18
18
Dataseries Y:
Download CSV
Histogram 
37,9
37
37
37
41,5
41,5
41,5
37,6
37,6
37,6
49,5
49,5
49,5
44,8
44,8
44,8
39,2
39,2
39,2
35,3
35,3
35,3
50,4
50,4
50,4
45
45
45
41,1
41,1
41,1
39,7
39,7
39,7
47,3
47,3
47,3
44,1
44,1
44,1
39,9
39,9
39,9
37,9
37,9
37,9
46,3
46,3
46,3
40,3
40,3
40,3
37,3
37,3
37,3
38,8
38,8
38,8
42,6
42,6
42,6

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=363&T=0

[TABLE]
[ROW][C]Summary of compuational 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]1 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=363&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=363&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Bandwidth
x axis0.972431536760715
y axis1.55161858451437
Correlation
correlation used in KDE0.681063761134678
correlation(x,y)0.681063761134678

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.972431536760715 \tabularnewline
y axis & 1.55161858451437 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.681063761134678 \tabularnewline
correlation(x,y) & 0.681063761134678 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=363&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.972431536760715[/C][/ROW]
[ROW][C]y axis[/C][C]1.55161858451437[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.681063761134678[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.681063761134678[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=363&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=363&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 axis0.972431536760715
y axis1.55161858451437
Correlation
correlation used in KDE0.681063761134678
correlation(x,y)0.681063761134678


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')