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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 computationThu, 01 Nov 2007 03:14:44 -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/01/0qid33ylygthetq1193912149.htm/, Retrieved Thu, 30 Oct 2025 14:19:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2, Retrieved Thu, 30 Oct 2025 14:19:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact425

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] [density plot: Eu ...] [2007-11-01 10:14:44] [bd02e85be52eb1cb060a2c60779eb820] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,7
7,7
7,8
7,8
7,8
7,9
7,9
7,9
7,9
8
8
8,1
8,1
8,1
8,2
8,3
8,3
8,3
8,4
8,4
8,5
8,6
8,6
8,6
8,7
8,7
8,7
8,7
8,7
8,7
8,7
8,8
8,8
8,8
8,8
8,8
8,9
8,9
8,8
8,8
8,8
8,8
8,7
8,7
8,7
8,8
8,8
8,7
8,7
8,6
8,5
8,4
8,3
8,3
8,4
8,4
8,3
8,2
8,1
8
7,9
7,9
7,8
7,8
7,7
7,7
7,6
7,5
7,4
7,2
7,1
7
7
Dataseries Y:
Download CSV
Histogram 
8.4
8.4
8.4
8.5
8.5
8.5
8.5
8.6
8.7
8.7
8.7
8.8
8.8
8.8
8.9
8.9
8.9
8.9
8.9
8.9
8.9
8.9
8.9
8.9
8.9
9
9
9
9
9
9
9
9.1
9.1
9.1
9.1
9.1
9.1
9
9
9
8.9
8.9
8.9
8.8
8.9
8.9
8.8
8.8
8.8
8.6
8.5
8.5
8.5
8.5
8.5
8.3
8.2
8.2
8.1
8
7.9
7.9
7.8
7.8
7.6
7.5
7.5
7.3
7.2
7.1
6.9
6.9

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 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=2&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]4 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=2&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Bandwidth
x axis0.139935172611588
y axis0.100847206746230
Correlation
correlation used in KDE0.891437028758047
correlation(x,y)0.891437028758047

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.139935172611588 \tabularnewline
y axis & 0.100847206746230 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.891437028758047 \tabularnewline
correlation(x,y) & 0.891437028758047 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.139935172611588[/C][/ROW]
[ROW][C]y axis[/C][C]0.100847206746230[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.891437028758047[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.891437028758047[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2&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 axis0.139935172611588
y axis0.100847206746230
Correlation
correlation used in KDE0.891437028758047
correlation(x,y)0.891437028758047


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')