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Description of Statistical Computation

Author's title

Bivariate Kernel Density Estimation: Consumptieprijzen - Economische voorui...

Author*The author of this computation has been verified*
R Software Modulerwasp_bidensity.wasp
Title produced by softwareBivariate Kernel Density Estimation
Date of computationMon, 08 Dec 2008 14:50:20 -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/2008/Dec/08/t12287731831e5r6flnci625bp.htm/, Retrieved Tue, 10 Feb 2026 02:37:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31090, Retrieved Tue, 10 Feb 2026 02:37:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact464

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Notched Boxplots] [workshop 3] [2007-10-26 13:31:48] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F    D  [Notched Boxplots] [Q1 - Notched Boxplot] [2008-11-03 09:57:32] [a7f04e0e73ce3683561193958d653479]
-    D    [Notched Boxplots] [Notched boxplots:...] [2008-12-08 19:48:56] [a7f04e0e73ce3683561193958d653479]
-    D      [Notched Boxplots] [Notched Boxplots:...] [2008-12-08 19:57:25] [a7f04e0e73ce3683561193958d653479]
- RMPD        [Bivariate Kernel Density Estimation] [Bivariate Kernel ...] [2008-12-08 20:23:10] [a7f04e0e73ce3683561193958d653479]
-    D          [Bivariate Kernel Density Estimation] [Bivariate Kernel ...] [2008-12-08 20:26:55] [a7f04e0e73ce3683561193958d653479]
-    D            [Bivariate Kernel Density Estimation] [Bivariate Kernel ...] [2008-12-08 20:30:45] [a7f04e0e73ce3683561193958d653479]
-   PD                [Bivariate Kernel Density Estimation] [Bivariate Kernel ...] [2008-12-08 21:50:20] [f1a30f1149cef3ef3ef69d586c6c3c1c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
49
46
45
49
47
45
48
51
48
49
51
54
52
52
53
51
55
53
51
52
54
58
57
52
50
53
50
50
51
53
49
54
57
58
56
60
55
54
52
55
56
54
53
59
62
63
64
75
77
79
77
82
83
81
78
79
79
73
72
67
Dataseries Y:
Download CSV
Histogram 
34
39
40
45
43
42
49
43
50
44
40
41
45
45
48
54
47
35
28
28
34
23
33
38
41
47
46
45
47
49
50
56
50
56
58
59
51
59
60
60
68
62
62
58
56
50
52
36
33
26
28
27
20
16
11
0
3
10
0
3

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=31090&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=31090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31090&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 axis2.51716558536819
y axis6.09170381254691
Correlation
correlation used in KDE-0.625219764867495
correlation(x,y)-0.625219764867495

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 2.51716558536819 \tabularnewline
y axis & 6.09170381254691 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & -0.625219764867495 \tabularnewline
correlation(x,y) & -0.625219764867495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31090&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]2.51716558536819[/C][/ROW]
[ROW][C]y axis[/C][C]6.09170381254691[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]-0.625219764867495[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]-0.625219764867495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31090&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 axis2.51716558536819
y axis6.09170381254691
Correlation
correlation used in KDE-0.625219764867495
correlation(x,y)-0.625219764867495


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')