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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 computationWed, 25 Sep 2013 11:50:15 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Sep/25/t13801242408v8au5mq43kjro7.htm/, Retrieved Fri, 03 May 2024 08:51:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211984, Retrieved Fri, 03 May 2024 08:51:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

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] [] [2013-09-25 15:50:15] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14.15
13.95
13.96
13.99
14.08
14.03
13.93
13.95
13.94
14.01
13.98
13.84
14.16
13.92
13.97
14
14
13.87
13.94
13.98
13.95
14.01
13.96
13.88
13.76
13.79
13.97
13.84
13.94
13.97
13.92
13.87
13.9
13.85
13.7
13.87
13.74
13.64
13.83
13.88
14.01
13.98
14.02
14.1
14.11
14.14
14.04
14.19
14.17
14.14
13.94
14.09
14.06
14.07
14.07
14.07
14.05
13.99
13.85
13.95
14.13
14.2
14.2
14.18
14.13
14.07
14.06
14.07
14.1
14.1
14
14.16
13.85
13.97
13.91
13.9
13.83
13.9
13.79
13.88
13.94
13.95
14.08
13.87
14.16
13.9
13.74
13.82
13.82
13.88
13.9
14.04
13.92
13.96
13.8
13.74
13.84
13.71
13.78
13.78
13.76
13.81
13.87
13.76
13.82
13.82
13.83
13.91
13.92
14
13.99
14.01
14.09
14.13
14.03
14.1
14.05
14.02
14.11
14.21
14.38
14.23
14.1
14.04
14.12
14
14.11
14.03
14.03
14.04
14.06
14.1
14.11
14.12
14.24
14.17
14.08
14.07
14.09
14.02
14.01
13.98
13.92
14.03
14.01
14.19
13.73
13.92
13.94
14.03
14.04
14.03
14.07
14.04
13.93
14.17
14.06
14.2
14.16
14.11
14.16
14.13
14.01
14.05
14.04
14.1
14.05
14.02
14.11
14.21
14.38
14.23
14.1
14.04
14.12
14
14.11
14.03
14.03
14.04
14.06
14.1
14.11
14.12
14.24
14.17
14.08
14.07
14.09
14.02
14.01
13.98
13.92
14.03
14.01
14.19
13.73
13.92
13.94
14.03
14.04
14.03
14.07
14.04
13.93
14.17
14.06
14.2
14.16
14.11
14.16
14.13
14.01
14.05
14.04
14.03
14.04
13.9
14.09
14.16
14.09
14.08
13.95
14.01
14
13.99
14
14.02
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14.02
13.97
14.19
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13.98
14.03
14.04
14.13
14.22
14.21
14.15
14.17
14.03
14.02
13.91
13.81
13.78
13.83
13.96
13.9
14.1
13.99
13.9
13.88
13.89
14.03
14.19
14.16
14.1
14.03
14.06
14.07
14.11
14.17
14.23
14.11
14.25
14.03
14.07
13.99
14.01
13.98
13.93
14.06
13.98
14
13.86
13.98
13.8
13.8
13.89
13.88
13.78
13.89
13.93
13.95
13.92
13.96
13.91
13.76
13.79
13.99
13.99
13.99
14.04
14.01
14.13
14.01
14.07
14.04
14.18
14.26
14.31
14.26
14.2
14.18
14.14
14.08
14
14.04
14.08
14
13.94
13.83
13.75
13.92
13.91
13.91
13.9
13.95
14.02
13.89
13.89
13.89
13.87
14.03
13.96
14.06
13.98
14.08
13.95
13.95
13.84
13.94
13.88
13.83
13.8
13.92
13.9
13.73
13.87
13.76
13.86
13.9
13.85
13.9
13.75
13.87
13.97
13.97
14.14
14.18
14.17
14.2
14.17
14.15
14.1
14.04
14.01
14.15
14.03
14.04
14.05
14.12
14.09
13.98
13.94
14.04
13.86
14.03
13.99
14.08
14.01
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13.9
14.09
14.04
13.97
14.08
13.99
14.11
14.16
14.18
14.18
14.38
14.18
14.22
14.13
14.2
14.25
14.14
14.15
14.13
14.1
14.09
14.23
14.11
14.4
14.3
14.37
14.24
14.14
14.17
14.19
14.24
14.11
14.07
14.15
14.28
14.03
14.06
13.94
14.05
14.12
14
14.12
13.99
14.04
14.05
14.06
14.33
14.45
14.39
14.39
14.23
14.25
14.15
14.12
14.26
14.28
14.12
14.29
14.12
14.22
14.09
14.17
14.01
14.22
13.98
14.12
14.09
14.11
14.05
13.96
13.81
14.09
13.87
14.1
14.08
14.09
14.08
13.95
14.08
14
14.05
13.98
14.04
14.24
14.28
14.23
14.16
14.11
14.07
14.07
14.08
14.02
14.08
14.01
14.08
14.23
14.39
14.13
14.21
14.21
14.26
14.36
14.18
14.34
14.26
14.22
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14.51
14.32
14.44
14.35
14.3
14.32
14.24
14.27
14.26
14.26
14.05
14.22
14.11
14.25
14.26
14.16
14.07
14.06
14.22
14.24
14.25
14.23
14.14
14.29
14.33
14.34
14.65
14.43
14.32
14.31
14.34
14.28
14.23
14.4
14.45
14.39
14.35
14.43
14.29
14.41
14.31
14.42
14.43
14.3
14.36
14.22
14.16
14.2
14.38
14.37
14.34
14.19
14.22
14.15
14
14.01
13.94
14
13.93
14.13
14.28
14.26
14.3
14.18
14.18
14.1
14.09
14.03
14.02
14.16
14
14.14
14.28
13.94
14.25
14.26
14.22
14.29
14.2
14.19
14.25
14.38
14.37
14.29
14.44
14.7
14.44
14.34
14.11
14.33
14.46
14.37
14.24
14.42
14.37
14.26
14.23
14.43
14.25
14.2
14.21
14.18
14.3
14.32
14.16
14.15
14.28
14.31
14.27
14.31
14.46
14.33
14.31
14.43
14.28
14.36
14.45
14.5
14.55
14.53
14.55
14.83
14.56
14.58
14.59
14.59
14.67
14.6
14.43
14.42
14.4
14.51
14.45
14.64
14.27
14.28
14.23
14.28
14.26
14.27
14.25
14.3
14.32
14.37
14.21
14.49
14.46
14.5
14.3
14.31
14.28
14.37
14.29
14.21
14.21
14.19
14.38
14.4
14.56
14.42
14.47
14.45
14.46
14.45
14.45
14.43
14.68
14.47
14.74
14.75
14.81
14.54
14.51
14.43
14.53
14.43
14.46
14.48
14.51
14.33
Dataseries Y:
Download CSV
Histogram 
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2.65745841
2.65815943
2.65675691
2.66025954
2.66165716
2.6651427
2.65394594
2.67345876
2.67138622
2.67414865
2.66025954
2.66095859
2.65885996
2.6651427
2.65955999
2.65394594
2.65394594
2.65253749
2.66583835
2.66722821
2.67827804
2.66861613
2.67207754
2.67069441
2.67138622
2.67069441
2.67069441
2.66930937
2.68648602
2.67207754
2.69056489
2.69124308
2.69530263
2.67690347
2.67483807
2.66930937
2.67621548
2.66930937
2.67138622
2.67276839
2.67483807
2.66235524

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 6 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211984&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211984&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211984&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 time6 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Bandwidth
x axis0.0456874345021742
y axis0.00325236879496739
Correlation
correlation used in KDE0.999951582938908
correlation(x,y)0.999951582938908

\begin{tabular}{lllllllll}
\hline
Bandwidth \tabularnewline
x axis & 0.0456874345021742 \tabularnewline
y axis & 0.00325236879496739 \tabularnewline
Correlation \tabularnewline
correlation used in KDE & 0.999951582938908 \tabularnewline
correlation(x,y) & 0.999951582938908 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211984&T=1

[TABLE]
[ROW][C]Bandwidth[/C][/ROW]
[ROW][C]x axis[/C][C]0.0456874345021742[/C][/ROW]
[ROW][C]y axis[/C][C]0.00325236879496739[/C][/ROW]
[ROW][C]Correlation[/C][/ROW]
[ROW][C]correlation used in KDE[/C][C]0.999951582938908[/C][/ROW]
[ROW][C]correlation(x,y)[/C][C]0.999951582938908[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211984&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211984&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 axis0.0456874345021742
y axis0.00325236879496739
Correlation
correlation used in KDE0.999951582938908
correlation(x,y)0.999951582938908


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ; par8 = terrain.colors ;
Parameters (R input):
par1 = 50 ; par2 = 50 ; par3 = 0 ; par4 = 0 ; par5 = 0 ; par6 = Y ; par7 = Y ; par8 = terrain.colors ;
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')
x <- x[!is.na(y)]
y <- y[!is.na(y)]
y <- y[!is.na(x)]
x <- x[!is.na(x)]
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
if (par8 == 'terrain.colors') mycol <- terrain.colors(100)
if (par8 == 'rainbow') mycol <- rainbow(100)
if (par8 == 'heat.colors') mycol <- heat.colors(100)
if (par8 == 'topo.colors') mycol <- topo.colors(100)
if (par8 == 'cm.colors') mycol <- cm.colors(100)
bitmap(file='bidensity.png')
op <- KernSur(x,y, xgridsize=par1, ygridsize=par2, correlation=par5, xbandwidth=par3, ybandwidth=par4)
image(op$xords, op$yords, op$zden, col=mycol, axes=TRUE,main=main,xlab=xlab,ylab=ylab)
if (par6=='Y') contour(op$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')