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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 computationThu, 13 Nov 2008 11:47:25 -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/Nov/13/t1226602091egsmrjvuvqjbyv9.htm/, Retrieved Sun, 19 May 2024 11:49:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24767, Retrieved Sun, 19 May 2024 11:49:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

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 Kernel] [2008-11-13 12:14:49] [74be16979710d4c4e7c6647856088456]
F    D    [Bivariate Kernel Density Estimation] [various Q1] [2008-11-13 18:47:25] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F RMPD      [Box-Cox Linearity Plot] [Q3] [2008-11-13 19:17:56] [74be16979710d4c4e7c6647856088456]
F RMPD      [Box-Cox Normality Plot] [Q4] [2008-11-13 19:25:30] [74be16979710d4c4e7c6647856088456]
F RMPD      [Maximum-likelihood Fitting - Normal Distribution] [Q5] [2008-11-13 19:34:51] [74be16979710d4c4e7c6647856088456]
Feedback Forum
2008-11-16 14:34:25 [f4fb14dccb656c9eb858fa18c7d28649] [reply] 
2008-11-16 14:34:49 [Bert Moons] [reply] 
correcte conclusie - Het is handiger om te vermelden waar de variabele x, y en z voor staan, voor de duidelijkheid. Er is inderdaad een sterke correlatie tussen X en Y, tevens heeft z heeft hier weinig invloed op.
2008-11-21 13:20:40 [Thomas Plasschaert] [reply] 
Je hebt de juiste conclusies getrokken uit de bivariate density plot, er bestaat inderdaad een grote correlatie, over welke variabelen gaat het?
  2008-11-21 23:00:53 [Vincent Vanden Poel] [reply] 
De variabelen staan vermeld op de assen. X = Vervaardiging van transportmiddelen en Y = Totale industrie. Maar blijkbaar staan deze alleen vermeld in het document zelf.
2008-11-24 19:50:49 [5faab2fc6fb120339944528a32d48a04] [reply] 
Goede weergave, inderdaad voor de duidelijkheid vermelden waar de variabelen voor staan. De bivariate kennel density plot geeft een 3D vergelijking van 2 variabelen d.m.v. een scatterplot met hoogtelijnen, deze hoogtelijnen houden verband met de dichtheid.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
91.2
99.2
108.2
101.5
106.9
104.4
77.9
60
99.5
95
105.6
102.5
93.3
97.3
127
111.7
96.4
133
72.2
95.8
124.1
127.6
110.7
104.6
112.7
115.3
139.4
119
97.4
154
81.5
88.8
127.7
105.1
114.9
106.4
104.5
121.6
141.4
99
126.7
134.1
81.3
88.6
132.7
132.9
134.4
103.7
119.7
115
132.9
108.5
113.9
142
97.7
92.2
128.8
134.9
128.2
114.8
117.9
119.1
120.7
129.1
117.6
129.2
100
87.3
Dataseries Y:
Download CSV
Histogram 
97,4
97
105,4
102,7
98,1
104,5
87,4
89,9
109,8
111,7
98,6
96,9
95,1
97
112,7
102,9
97,4
111,4
87,4
96,8
114,1
110,3
103,9
101,6
94,6
95,9
104,7
102,8
98,1
113,9
80,9
95,7
113,2
105,9
108,8
102,3
99
100,7
115,5
100,7
109,9
114,6
85,4
100,5
114,8
116,5
112,9
102
106
105,3
118,8
106,1
109,3
117,2
92,5
104,2
112,5
122,4
113,3
100
110,7
112,8
109,8
117,3
109,1
115,9
96
97,6

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=24767&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=24767&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24767&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 axis8.31333942265853
y axis3.39632899616365
Correlation
correlation used in KDE0.835660246645691
correlation(x,y)0.835660246645691

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 8.31333942265853 \tabularnewline
y axis & 3.39632899616365 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.835660246645691 \tabularnewline
correlation(x,y) & 0.835660246645691 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24767&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]8.31333942265853[/C][/ROW]
[ROW][C]y axis[/C][C]3.39632899616365[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.835660246645691[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.835660246645691[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24767&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24767&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 axis8.31333942265853
y axis3.39632899616365
Correlation
correlation used in KDE0.835660246645691
correlation(x,y)0.835660246645691


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')