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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 computationThu, 18 Dec 2014 14:28:36 +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/18/t1418912929tqwzdiyjugjmbgu.htm/, Retrieved Fri, 17 May 2024 15:07:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270994, Retrieved Fri, 17 May 2024 15:07:03 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [A: Amotivation] [2014-12-18 14:28:36] [f02c6c9412fee5ce04bac553459224aa] [Current]
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Dataseries X:
4
17
4
23
4
5
5
4
6
4
9
18
6
5
4
11
4
10
6
6
4
9
5
4
15
10
9
7
9
6
4
7
4
7
4
15
9
4
4
4
4
4
12
5
4
6
6
4
7
7
4
12
17
5
4
8
5
4
4
16
7
4
7
19
4
4
9
5
14
4
16
10
5
6
4
4
4
5
4
4
5
4
4
8
15
6
4
8
5
4
4
8
4
7
4
4
5
7
4
7
11
7
4
4
4
4
4
4
6
8
4
8
6
4
4
7
4
4
4
4
10
6
5
5
4
5
5
4
4
8
8
8
4
9
4
4
28
4
5
4
5
4
4
10
4
4
4
5
8
6
4
4
5
5
6
4
4
6
10
4
4
4
4
14
5
5
5
5
16
7
5
4
4
4
8
4
8
5
5
6
4
5
6
4
9
4
6
6
8
9
6
4
9
4
4
4
4
5
4
9
4
4
4
4
4
4
4
5
7
4
4
5
5
4
5
4
4
6
6
7
5
5
4
6
9
4
4
4
4
4
11
4
4
7
9
4
5
4
4
9
4
4
10
4
9
14
9
4
4
9
7
4
5
7
8
4
4
6
7
5
8
8
5
4
4
11
5
22
4
4
5
16
5
6
5
4
4
4
7
4
8
7
4
6
5
8
8
4
7
4
13
4
4
4
4
7
5
4
5
12
4
4
4
7
13
4
4
4
4
4
4
4
4
4
6
5
6
13
4
7
5
4
4
6
5
4
5
4
5
8
4
4
4
4
4
4
4
8
4
6
12
5
9
12
4
16
4
6
4
5
5
4
4
9
4
4
12
4
5
4
6
5
4
6
4
5
14
4
4
4
6
4
5
4
5
17
4
5
10
5
4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270994&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270994&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270994&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'Sir Maurice George Kendall' @ kendall.wessa.net







Properties of Density Trace
Bandwidth0.613866552306234
#Observations381

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.613866552306234 \tabularnewline
#Observations & 381 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270994&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.613866552306234[/C][/ROW]
[ROW][C]#Observations[/C][C]381[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270994&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270994&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
Bandwidth0.613866552306234
#Observations381







Maximum Density Values
Kernelx-valuemax. density
Gaussian4.108684443469060.336509567558235
Epanechnikov4.271208118501370.309939840112618
Rectangular4.975477376974730.329140114174664
Triangular4.000335326780850.341490584444189
Biweight4.217033560157270.31611365688563
Cosine4.217033560157270.318537113337918
Optcosine4.217033560157270.311609838586374

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.10868444346906 & 0.336509567558235 \tabularnewline
Epanechnikov & 4.27120811850137 & 0.309939840112618 \tabularnewline
Rectangular & 4.97547737697473 & 0.329140114174664 \tabularnewline
Triangular & 4.00033532678085 & 0.341490584444189 \tabularnewline
Biweight & 4.21703356015727 & 0.31611365688563 \tabularnewline
Cosine & 4.21703356015727 & 0.318537113337918 \tabularnewline
Optcosine & 4.21703356015727 & 0.311609838586374 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270994&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]4.10868444346906[/C][C]0.336509567558235[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.27120811850137[/C][C]0.309939840112618[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.97547737697473[/C][C]0.329140114174664[/C][/ROW]
[ROW][C]Triangular[/C][C]4.00033532678085[/C][C]0.341490584444189[/C][/ROW]
[ROW][C]Biweight[/C][C]4.21703356015727[/C][C]0.31611365688563[/C][/ROW]
[ROW][C]Cosine[/C][C]4.21703356015727[/C][C]0.318537113337918[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.21703356015727[/C][C]0.311609838586374[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270994&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270994&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
Gaussian4.108684443469060.336509567558235
Epanechnikov4.271208118501370.309939840112618
Rectangular4.975477376974730.329140114174664
Triangular4.000335326780850.341490584444189
Biweight4.217033560157270.31611365688563
Cosine4.217033560157270.318537113337918
Optcosine4.217033560157270.311609838586374



Parameters (Session):
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')
}