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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationWed, 17 Dec 2014 13:30:11 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418823077l1g61cjxd975hnl.htm/, Retrieved Thu, 16 May 2024 16:31:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270220, Retrieved Thu, 16 May 2024 16:31:56 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Survey Scores] [Summary Mean Vs. ...] [2014-12-15 09:53:50] [69bf0eb8b9b38defaaf4848d8c317571]
- RMPD    [Kernel Density Estimation] [] [2014-12-17 13:30:11] [7de19aadd459682308988067914fc05d] [Current]
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Dataseries X:
18
23
23
22
22
19
25
28
16
28
21
22
24
24
26
28
24
20
26
21
28
27
23
24
24
22
21
25
20
21
26
23
21
27
27
25
23
25
23
19
22
24
19
21
27
25
25
23
17
28
25
20
25
21
24
28
20
19
24
21
24
23
18
27
25
20
21
23
27
24
27
24
23
24
21
23
22
27
24
25
19
24
25
23
23
25
26
26
16
23
26
25
23
26
22
20
27
20
22
24
21
24
26
24
24
27
25
27
19
22
22
25
23
24
24
23
22
24
19
25
26
18
24
28
23
19
19
27
24
26
21
25
28
19
20
26
27
23
18
23
21
23
22
21
14
24
26
24
26
22
20
20
20
18
18
25
28
23
20
22
27
24
23
20
22
21
24
26
24
18
17
23
21
21
24
22
24
24
24
23
21
24
19
19
23
25
24
21
18
23
20
23
23
23
23
27
19
25
25
21
25
17
22
23
27
27
5
19
24
23
28
25
27
16
23
25
26
24
23
24
27
25
19
19
14
24
20
21
28
26
19
23
23
21
26
25
25
24
23
22
27
26
23
22
26
22
17
25
22
28
22
21
21
24
26
26
24
27
22
23
22
23
15
20
22
25
27
24
21
17
26
20
22
24
23
22
28
21
24
28
25
24
24
21
20
26
16
23
16
25
15
25
22
19
22
24
10
24
23
22
22
26
24
23
26
27
28
21
23
25
23
22
23
22
27
24
24
20
19
23
21
27
19
25
25
24
26
21
22
26
20
21
21
28
24
19
23
25
27
18
26
14
25
23
24
20
19
25
19
23
23
17
24
22
20
23
22
20
23
22
21
22
26
24
28
24
26
20
26
21
26
22
21
25
25
23
27
23
28
24
21
23
21
24
28
11
25
25
28
28
19
25
25
25
28
26
27
24
18
21
23
24
26
25
23
24
20
26
27
21
21
19
25
23
25
26
18
27
23
20
22
22
23
18
25
21
21
28
19
21
23
22
27
23
27
23
21
22
26
23
26
28
28
26
24
23
28
21
28
21
28
24
24
28
21
26
22
25
20
19
23
26
28
24
25
24
25
27
28
23
19
27
15
27
21
26
25
26
24
25
27
14
24
25
23
24
22
16
26
26
19
19
28
24
20
21
26
24




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270220&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]3 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=270220&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270220&T=0

As an alternative you can also use a 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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Properties of Density Trace
Bandwidth0.775803677355475
#Observations498

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.775803677355475 \tabularnewline
#Observations & 498 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270220&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.775803677355475[/C][/ROW]
[ROW][C]#Observations[/C][C]498[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270220&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270220&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Properties of Density Trace
Bandwidth0.775803677355475
#Observations498







Maximum Density Values
Kernelx-valuemax. density
Gaussian23.6166518619050.136824880992086
Epanechnikov23.56253283633920.136079395671498
Rectangular24.2119611431290.147942648963975
Triangular23.99548504086580.138053913423517
Biweight23.6166518619050.13645764389938
Cosine23.6166518619050.136526930084529
Optcosine23.56253283633920.136587723728993

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 23.616651861905 & 0.136824880992086 \tabularnewline
Epanechnikov & 23.5625328363392 & 0.136079395671498 \tabularnewline
Rectangular & 24.211961143129 & 0.147942648963975 \tabularnewline
Triangular & 23.9954850408658 & 0.138053913423517 \tabularnewline
Biweight & 23.616651861905 & 0.13645764389938 \tabularnewline
Cosine & 23.616651861905 & 0.136526930084529 \tabularnewline
Optcosine & 23.5625328363392 & 0.136587723728993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270220&T=2

[TABLE]
[ROW][C]Maximum Density Values[/C][/ROW]
[ROW][C]Kernel[/C][C]x-value[/C][C]max. density[/C][/ROW]
[ROW][C]Gaussian[/C][C]23.616651861905[/C][C]0.136824880992086[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]23.5625328363392[/C][C]0.136079395671498[/C][/ROW]
[ROW][C]Rectangular[/C][C]24.211961143129[/C][C]0.147942648963975[/C][/ROW]
[ROW][C]Triangular[/C][C]23.9954850408658[/C][C]0.138053913423517[/C][/ROW]
[ROW][C]Biweight[/C][C]23.616651861905[/C][C]0.13645764389938[/C][/ROW]
[ROW][C]Cosine[/C][C]23.616651861905[/C][C]0.136526930084529[/C][/ROW]
[ROW][C]Optcosine[/C][C]23.5625328363392[/C][C]0.136587723728993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270220&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270220&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian23.6166518619050.136824880992086
Epanechnikov23.56253283633920.136079395671498
Rectangular24.2119611431290.147942648963975
Triangular23.99548504086580.138053913423517
Biweight23.6166518619050.13645764389938
Cosine23.6166518619050.136526930084529
Optcosine23.56253283633920.136587723728993



Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 0 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
if (par1 == '0') bw <- 'nrd0'
if (par1 != '0') bw <- as.numeric(par1)
par3 <- as.numeric(par3)
mydensity <- array(NA, dim=c(par3,8))
bitmap(file='density1.png')
mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
mydensity[,8] = signif(mydensity1$x,3)
mydensity[,1] = signif(mydensity1$y,3)
plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
mydensity1
bitmap(file='density2.png')
mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
mydensity[,2] = signif(mydensity2$y,3)
plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density3.png')
mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
mydensity[,3] = signif(mydensity3$y,3)
plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density4.png')
mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
mydensity[,4] = signif(mydensity4$y,3)
plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density5.png')
mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
mydensity[,5] = signif(mydensity5$y,3)
plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density6.png')
mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
mydensity[,6] = signif(mydensity6$y,3)
plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density7.png')
mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
mydensity[,7] = signif(mydensity7$y,3)
plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Properties of Density Trace',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bandwidth',header=TRUE)
a<-table.element(a,mydensity1$bw)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Observations',header=TRUE)
a<-table.element(a,mydensity1$n)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Maximum Density Values',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kernel',1,TRUE)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'max. density',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
a<-table.element(a,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
a<-table.element(a,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
a<-table.element(a,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
a<-table.element(a,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
a<-table.element(a,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
a<-table.element(a,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.element(a,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
a<-table.element(a,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
if (par2=='yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values',8,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.row.end(a)
for(i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,mydensity[i,8],1,TRUE)
for(j in 1:7) {
a<-table.element(a,mydensity[i,j],1)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}