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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, 21 Dec 2016 21:26:58 +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/2016/Dec/21/t1482352076wt24zt9vyfhgu29.htm/, Retrieved Mon, 06 May 2024 12:55:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302491, Retrieved Mon, 06 May 2024 12:55:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [kernel density es...] [2016-12-21 20:26:58] [6f830dc7e8de22be3233942ffbe3aaba] [Current]
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Dataseries X:
-1.893
2.514
0.141
0.624
-1.376
3.18
-1.82
2.216
-1.784
-1.894
2.106
-0.376
3.624
1.699
-1.376
-2.894
3.624
-0.2662
-0.7844
-0.4859
-6.376
2.514
2.624
-0.7844
-1.6
1.624
0.624
2.216
0.2156
-1.858
2.29
3.514
-11.78
2.773
-0.8942
-1.376
-0.1915
1.844
-0.8942
-1.376
0.1058
-1.893
3.216
2.624
-9.674
-3.784
-0.376
0.1422
1.106
1.031
-0.5605
1.327
2.734
-0.1563
2.624
-3.56
-0.376
-3.376
-4.894
0.5141
0.5494
0.5141
-0.376
-0.2268
-2.894
-0.2662
-3.156
-0.4859
-2.376
3.624
-3.968
-3.192
1.44
-2.376
2.18
1.734
-2.156
1.106
2.216
-0.5635
-2.784
0.5141
2.216
-3.969
2.216
1.106
3.624
-1.486
-0.6692
-1.376
3.141
-1.784
2.141
1.624
1.624
-1.451
3.106
0.5141
1.216
2.624
3.844
-3.376
0.2156
-1.376
-0.7844
1.624
1.624
-2.376
-0.9677
-4.376
1.217
-2.894
1.624
0.5141
0.2156
3.514
-0.2662
-2.376
-1.266
1.624
3.624
0.2156
0.624
0.5141
0.2156
-1.376
0.624
2.327
0.624
3.549
-1.192
0.3267
-1.376
1.216
-1.376
1.031
3.141
2.808
-2.266
-0.376
-0.8578
0.141
1.844
3.031
0.6986
1.624
-0.7832
-0.376
-5.486
-1.376
2.252
0.624
-0.8942
-3.968
2.624
1.106
-1.376
0.03117
2.734
1.624
2.624
-0.1915
-0.376
0.03232
-2.266




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302491&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302491&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302491&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Properties of Density Trace
Bandwidth0.743851156119796
#Observations165

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.743851156119796 \tabularnewline
#Observations & 165 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302491&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.743851156119796[/C][/ROW]
[ROW][C]#Observations[/C][C]165[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302491&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302491&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
Bandwidth0.743851156119796
#Observations165







Maximum Density Values
Kernelx-valuemax. density
Gaussian-0.1353328251857510.166310610886646
Epanechnikov-0.3318798597916110.165465743215986
Rectangular-0.6070457082398130.177103189317919
Triangular-0.3711892667127830.166022805786364
Biweight-0.2139516390280960.164968620037356
Cosine-0.1746422321069240.165206722464444
Optcosine-0.3318798597916110.165389576260556

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -0.135332825185751 & 0.166310610886646 \tabularnewline
Epanechnikov & -0.331879859791611 & 0.165465743215986 \tabularnewline
Rectangular & -0.607045708239813 & 0.177103189317919 \tabularnewline
Triangular & -0.371189266712783 & 0.166022805786364 \tabularnewline
Biweight & -0.213951639028096 & 0.164968620037356 \tabularnewline
Cosine & -0.174642232106924 & 0.165206722464444 \tabularnewline
Optcosine & -0.331879859791611 & 0.165389576260556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302491&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]-0.135332825185751[/C][C]0.166310610886646[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.331879859791611[/C][C]0.165465743215986[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.607045708239813[/C][C]0.177103189317919[/C][/ROW]
[ROW][C]Triangular[/C][C]-0.371189266712783[/C][C]0.166022805786364[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.213951639028096[/C][C]0.164968620037356[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.174642232106924[/C][C]0.165206722464444[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.331879859791611[/C][C]0.165389576260556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302491&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302491&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
Gaussian-0.1353328251857510.166310610886646
Epanechnikov-0.3318798597916110.165465743215986
Rectangular-0.6070457082398130.177103189317919
Triangular-0.3711892667127830.166022805786364
Biweight-0.2139516390280960.164968620037356
Cosine-0.1746422321069240.165206722464444
Optcosine-0.3318798597916110.165389576260556







Kernel Density Values
x-valueGaussianEpanechnikovRectangularTriangularBiweightCosineOptcosine
Kernel Density Values are not shown

\begin{tabular}{lllllllll}
\hline
Kernel Density Values \tabularnewline
x-value & Gaussian & Epanechnikov & Rectangular & Triangular & Biweight & Cosine & Optcosine \tabularnewline
Kernel Density Values are not shown \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302491&T=3

[TABLE]
[ROW][C]Kernel Density Values[/C][/ROW]
[ROW][C]x-value[/C][C]Gaussian[/C][C]Epanechnikov[/C][C]Rectangular[/C][C]Triangular[/C][C]Biweight[/C][C]Cosine[/C][C]Optcosine[/C][/ROW]
[ROW][C]Kernel Density Values are not shown[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302491&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302491&T=3

As an alternative you can also use a QR Code:  

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

Kernel Density Values
x-valueGaussianEpanechnikovRectangularTriangularBiweightCosineOptcosine
Kernel Density Values are not shown



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')
ab<-table.start()
ab<-table.row.start(ab)
ab<-table.element(ab,'Properties of Density Trace',2,TRUE)
ab<-table.row.end(ab)
ab<-table.row.start(ab)
ab<-table.element(ab,'Bandwidth',header=TRUE)
ab<-table.element(ab,mydensity1$bw)
ab<-table.row.end(ab)
ab<-table.row.start(ab)
ab<-table.element(ab,'#Observations',header=TRUE)
ab<-table.element(ab,mydensity1$n)
ab<-table.row.end(ab)
ab<-table.end(ab)
a <- ab
table.save(ab,file='mytable123.tab')
b<-table.start()
b<-table.row.start(b)
b<-table.element(b,'Maximum Density Values',3,TRUE)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Kernel',1,TRUE)
b<-table.element(b,'x-value',1,TRUE)
b<-table.element(b,'max. density',1,TRUE)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Gaussian',1,TRUE)
b<-table.element(b,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
b<-table.element(b,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Epanechnikov',1,TRUE)
b<-table.element(b,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
b<-table.element(b,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Rectangular',1,TRUE)
b<-table.element(b,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
b<-table.element(b,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Triangular',1,TRUE)
b<-table.element(b,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
b<-table.element(b,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Biweight',1,TRUE)
b<-table.element(b,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
b<-table.element(b,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Cosine',1,TRUE)
b<-table.element(b,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
b<-table.element(b,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
b<-table.row.end(b)
b<-table.row.start(b)
b<-table.element(b,'Optcosine',1,TRUE)
b<-table.element(b,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
b<-table.element(b,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
b<-table.row.end(b)
b<-table.end(b)
a <- b[1]
table.save(b,file='mytable2a.tab')
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)
if (par2=='yes') {
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)
}
} else {
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values are not shown',8)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')