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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationThu, 06 Aug 2015 15:54:41 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Aug/06/t1438872946pekuw4ga55bui3r.htm/, Retrieved Thu, 16 May 2024 22:26:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279879, Retrieved Thu, 16 May 2024 22:26:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2015-08-06 14:45:14] [74be16979710d4c4e7c6647856088456]
- RMPD  [Histogram] [] [2015-08-06 14:51:09] [74be16979710d4c4e7c6647856088456]
- RMP       [Kernel Density Estimation] [] [2015-08-06 14:54:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1684800.00
1622400.00
1716000.00
1372800.00
1778400.00
1747200.00
1872000.00
1934400.00
2152800.00
1872000.00
1778400.00
2215200.00
1872000.00
1404000.00
1653600.00
1248000.00
1747200.00
1435200.00
1903200.00
1716000.00
1809600.00
2028000.00
1996800.00
2371200.00
1716000.00
1435200.00
1591200.00
1154400.00
1653600.00
1279200.00
1809600.00
1716000.00
1528800.00
2184000.00
1965600.00
2246400.00
1684800.00
1560000.00
1404000.00
1154400.00
1528800.00
1372800.00
1872000.00
1809600.00
1560000.00
2090400.00
1934400.00
2496000.00
1996800.00
1216800.00
1216800.00
1216800.00
1435200.00
1435200.00
1934400.00
1778400.00
1591200.00
1996800.00
1840800.00
2652000.00
2090400.00
1216800.00
1279200.00
1060800.00
1466400.00
1684800.00
2121600.00
2090400.00
1684800.00
1965600.00
1747200.00
2496000.00
1903200.00
1528800.00
1372800.00
1029600.00
1528800.00
1840800.00
2152800.00
2028000.00
1497600.00
2152800.00
1684800.00
2589600.00
2152800.00
1560000.00
1435200.00
967200.00
1528800.00
1466400.00
2215200.00
2215200.00
1684800.00
2184000.00
1622400.00
2527200.00
2152800.00
1591200.00
1216800.00
842400.00
1653600.00
1591200.00
2090400.00
2402400.00
1778400.00
1996800.00
1497600.00
2589600.00




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=279879&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=279879&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279879&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
Bandwidth131439.995830817
#Observations108

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 131439.995830817 \tabularnewline
#Observations & 108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279879&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]131439.995830817[/C][/ROW]
[ROW][C]#Observations[/C][C]108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279879&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279879&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
Bandwidth131439.995830817
#Observations108







Maximum Density Values
Kernelx-valuemax. density
Gaussian1678557.652324271.01942127336013e-06
Epanechnikov1653134.560592521.01551006735343e-06
Rectangular1653134.560592521.05131829061458e-06
Triangular1683642.270670621.02397951908943e-06
Biweight1668388.415631571.01549777277772e-06
Cosine1673473.033977921.01619975223003e-06
Optcosine1653134.560592521.01600891816581e-06

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1678557.65232427 & 1.01942127336013e-06 \tabularnewline
Epanechnikov & 1653134.56059252 & 1.01551006735343e-06 \tabularnewline
Rectangular & 1653134.56059252 & 1.05131829061458e-06 \tabularnewline
Triangular & 1683642.27067062 & 1.02397951908943e-06 \tabularnewline
Biweight & 1668388.41563157 & 1.01549777277772e-06 \tabularnewline
Cosine & 1673473.03397792 & 1.01619975223003e-06 \tabularnewline
Optcosine & 1653134.56059252 & 1.01600891816581e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279879&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]1678557.65232427[/C][C]1.01942127336013e-06[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1653134.56059252[/C][C]1.01551006735343e-06[/C][/ROW]
[ROW][C]Rectangular[/C][C]1653134.56059252[/C][C]1.05131829061458e-06[/C][/ROW]
[ROW][C]Triangular[/C][C]1683642.27067062[/C][C]1.02397951908943e-06[/C][/ROW]
[ROW][C]Biweight[/C][C]1668388.41563157[/C][C]1.01549777277772e-06[/C][/ROW]
[ROW][C]Cosine[/C][C]1673473.03397792[/C][C]1.01619975223003e-06[/C][/ROW]
[ROW][C]Optcosine[/C][C]1653134.56059252[/C][C]1.01600891816581e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279879&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279879&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
Gaussian1678557.652324271.01942127336013e-06
Epanechnikov1653134.560592521.01551006735343e-06
Rectangular1653134.560592521.05131829061458e-06
Triangular1683642.270670621.02397951908943e-06
Biweight1668388.415631571.01549777277772e-06
Cosine1673473.033977921.01619975223003e-06
Optcosine1653134.560592521.01600891816581e-06



Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
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')
}