Free Statistics

of Irreproducible Research!

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, 19 Aug 2015 20:41:50 +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/19/t1440013321insysq26l5ymz3x.htm/, Retrieved Wed, 15 May 2024 03:17:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280291, Retrieved Wed, 15 May 2024 03:17:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2015-08-19 19:41:50] [3e99441ea7f7f69c8fa4628f6be951c3] [Current]
Feedback Forum

Post a new message
Dataseries X:
20
25
19
18
24
20
20
24
21
28
10
22
19
27
23
24
24
25
24
21
28
28
22
26
26
21
26
23
20
24
25
24
20
23
24
25
23
21
23
21
18
24
18
21
23
25
22
22
23
24
25
22
24
21
24
25
23
27
27
23
18
20
23
24
26
20
23
22
23
17
20
22
18
19
19
16
24
26
14
25
23
18
22
26
25
26
26
24
22
21
22
28
22
26
20
24
21
23
23
23
22
23
21
27
23
26
27
27
23
23
23
28
24
20
23
22
15
27
23
23
20
18
22
20
21
25
19
25
24
22
28
22
21
23
19
21
25
23
28
14
23
24
25
15
23
26
21
26
15
23
15
16
20
20
20
21
28
19
21
22
27
20
17
26
21
24
21
25
22
17
14
23
28
24
22
24
25
21
22
16
18
27
17
25
24
21
21
19
27
28
19
23
25
26
25
25
24
24
24
22
21
17
23
17
25
19
8
14
22
25
28
25
24
15
25
24
28
24
25
23
26
26
22
25
20
22
26
20
26
26
21
21
24
21
18
23
26
23
25
20
25
26
19
21
23
24
6
22
21
28
24
14
17
20
28
19
24
21
21
26
24
26
25
23
24
24
26
23
20
16
24
20
23
23
18
21
25
23
26
26
24
23
21
23
20
23
24
23
16
18
28
26
21
20
21
26
15
16
21
25
22
19
24
24
23
22
27
22
24
26
26
28
20
23
24
23
26
20
20
12
21
28
24
24
24
22
26
23
10
27
24
26
18
22
24
16
23
21
28
19
18
27
17
20
24
24
20
24
25
25
26
25
26
14
19
23
25
23
19
23
24
21
21
24
23
22
21
23
25
17
27
28
24
27
22
23
24
24
26
21
23
18
25
24
27
20
25
23
25
24
23
19
25
28
26
24
25
28
23
15
18
24
27
25
24
26
19
23
21
22
23
23
20
20
25
28
19
21
21
25
18
22
21
21
25
20
22
27
23
25
28
25
24
27
19
24
22
23
21
21
20
26
28
23
19
23
18
21
28
22
28
20
23
25
16
23
18
22
21
19
20
27
27
20
26
25
23
24
27
28
26
27
23
28
22
23
27
18
22
23
25
14
21
26
28
22
24
28
24
26
18
19
26
26
12
24
26
23




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280291&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280291&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280291&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 time4 seconds
R Server'Gwilym Jenkins' @ jenkins.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=280291&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=280291&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280291&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
Gaussian23.44201668281880.133280256486067
Epanechnikov23.54634083962560.132069795812498
Rectangular24.22444785886970.141965168197754
Triangular23.02472005559170.131680022681569
Biweight23.54634083962560.132441216768631
Cosine23.54634083962560.132562058546068
Optcosine23.54634083962560.132558134500567

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 23.4420166828188 & 0.133280256486067 \tabularnewline
Epanechnikov & 23.5463408396256 & 0.132069795812498 \tabularnewline
Rectangular & 24.2244478588697 & 0.141965168197754 \tabularnewline
Triangular & 23.0247200555917 & 0.131680022681569 \tabularnewline
Biweight & 23.5463408396256 & 0.132441216768631 \tabularnewline
Cosine & 23.5463408396256 & 0.132562058546068 \tabularnewline
Optcosine & 23.5463408396256 & 0.132558134500567 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280291&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]23.4420166828188[/C][C]0.133280256486067[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]23.5463408396256[/C][C]0.132069795812498[/C][/ROW]
[ROW][C]Rectangular[/C][C]24.2244478588697[/C][C]0.141965168197754[/C][/ROW]
[ROW][C]Triangular[/C][C]23.0247200555917[/C][C]0.131680022681569[/C][/ROW]
[ROW][C]Biweight[/C][C]23.5463408396256[/C][C]0.132441216768631[/C][/ROW]
[ROW][C]Cosine[/C][C]23.5463408396256[/C][C]0.132562058546068[/C][/ROW]
[ROW][C]Optcosine[/C][C]23.5463408396256[/C][C]0.132558134500567[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280291&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280291&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
Gaussian23.44201668281880.133280256486067
Epanechnikov23.54634083962560.132069795812498
Rectangular24.22444785886970.141965168197754
Triangular23.02472005559170.131680022681569
Biweight23.54634083962560.132441216768631
Cosine23.54634083962560.132562058546068
Optcosine23.54634083962560.132558134500567



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')
}