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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationTue, 04 Aug 2015 13:58:37 +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/04/t14386932196se3eae3rig7hqc.htm/, Retrieved Thu, 16 May 2024 18:04:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279845, Retrieved Thu, 16 May 2024 18:04:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [Dichtheidsgrafiek...] [2015-08-04 12:58:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
5947968.00
5925816.00
5903352.00
5856864.00
6316752.00
6292416.00
5947968.00
5718960.00
5741112.00
5741112.00
5765760.00
5810064.00
5879016.00
5879016.00
5834712.00
5718960.00
6316752.00
6407856.00
6270264.00
5947968.00
6085872.00
5879016.00
5972304.00
6016920.00
6063408.00
5947968.00
5972304.00
5810064.00
6316752.00
6476808.00
6339216.00
6085872.00
6361368.00
6063408.00
6339216.00
6316752.00
6385704.00
6132360.00
6407856.00
6385704.00
6799104.00
6705816.00
6339216.00
6154512.00
6407856.00
6063408.00
6316752.00
6361368.00
6454656.00
6248112.00
6361368.00
6430320.00
6683664.00
6476808.00
6201312.00
5903352.00
6179160.00
5421000.00
5787912.00
5994456.00
6201312.00
5903352.00
5903352.00
5903352.00
6063408.00
5834712.00
5534568.00
5283408.00
5465616.00
4754256.00
5190120.00
5443464.00
5489952.00
5236608.00
5258760.00
5190120.00
5421000.00
5258760.00
4938960.00
4707768.00
5098704.00
4249752.00
4801056.00
5052216.00
5052216.00
4754256.00
4478760.00
4456608.00
4707768.00
4478760.00
4043208.00
3743064.00
4065360.00
3307512.00
3996408.00
4363008.00
4478760.00
4225416.00
3905304.00
4134312.00
4225416.00
4156464.00
3467256.00
3147456.00
3376152.00
2687256.00
3398616.00
3651960.00
3858504.00
3514056.00
3191760.00
3376152.00
3467256.00
3285048.00
2596152.00
2296008.00
2571504.00
1813656.00
2640456.00
3147456.00




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=279845&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=279845&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279845&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
Bandwidth408803.3988286
#Observations120

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 408803.3988286 \tabularnewline
#Observations & 120 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279845&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]408803.3988286[/C][/ROW]
[ROW][C]#Observations[/C][C]120[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279845&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279845&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
Bandwidth408803.3988286
#Observations120







Maximum Density Values
Kernelx-valuemax. density
Gaussian6045857.63788674.6298423409771e-07
Epanechnikov5987632.444986734.38465172371146e-07
Rectangular5783844.269836824.40523314585134e-07
Triangular5973076.146761744.50415647145761e-07
Biweight6016745.041436724.45658967910473e-07
Cosine6031301.339661714.48268743265455e-07
Optcosine6002188.743211734.40565935342978e-07

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 6045857.6378867 & 4.6298423409771e-07 \tabularnewline
Epanechnikov & 5987632.44498673 & 4.38465172371146e-07 \tabularnewline
Rectangular & 5783844.26983682 & 4.40523314585134e-07 \tabularnewline
Triangular & 5973076.14676174 & 4.50415647145761e-07 \tabularnewline
Biweight & 6016745.04143672 & 4.45658967910473e-07 \tabularnewline
Cosine & 6031301.33966171 & 4.48268743265455e-07 \tabularnewline
Optcosine & 6002188.74321173 & 4.40565935342978e-07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279845&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]6045857.6378867[/C][C]4.6298423409771e-07[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5987632.44498673[/C][C]4.38465172371146e-07[/C][/ROW]
[ROW][C]Rectangular[/C][C]5783844.26983682[/C][C]4.40523314585134e-07[/C][/ROW]
[ROW][C]Triangular[/C][C]5973076.14676174[/C][C]4.50415647145761e-07[/C][/ROW]
[ROW][C]Biweight[/C][C]6016745.04143672[/C][C]4.45658967910473e-07[/C][/ROW]
[ROW][C]Cosine[/C][C]6031301.33966171[/C][C]4.48268743265455e-07[/C][/ROW]
[ROW][C]Optcosine[/C][C]6002188.74321173[/C][C]4.40565935342978e-07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279845&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279845&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
Gaussian6045857.63788674.6298423409771e-07
Epanechnikov5987632.444986734.38465172371146e-07
Rectangular5783844.269836824.40523314585134e-07
Triangular5973076.146761744.50415647145761e-07
Biweight6016745.041436724.45658967910473e-07
Cosine6031301.339661714.48268743265455e-07
Optcosine6002188.743211734.40565935342978e-07



Parameters (Session):
par2 = grey ; par3 = TRUE ; par4 = Unknown ;
Parameters (R input):
par1 = 0 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
par3 <- '512'
par2 <- 'no'
par1 <- '0'
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')
}