FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationThu, 04 Oct 2012 07:28:48 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/04/t1349350144jpq0dtw2j2d7cj0.htm/, Retrieved Mon, 29 Apr 2024 09:35:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=171753, Retrieved Mon, 29 Apr 2024 09:35:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Prijs van limonad...] [2012-10-01 07:00:48] [62be55976f982098f1eedfdceb4fdc3a]
- RMP     [Kernel Density Estimation] [Gemiddelde prijs ...] [2012-10-04 11:28:48] [778963f9ed1fb67b9d5ff0854a52552f] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.26
1.27
1.24
1.25
1.27
1.25
1.26
1.27
1.26
1.26
1.28
1.27
1.28
1.27
1.26
1.27
1.27
1.28
1.27
1.26
1.3
1.31
1.28
1.29
1.31
1.29
1.29
1.32
1.3
1.29
1.31
1.29
1.33
1.35
1.32
1.33
1.34
1.34
1.33
1.33
1.35
1.32
1.35
1.32
1.36
1.37
1.34
1.32
1.34
1.32
1.33
1.35
1.33
1.33
1.35
1.33
1.36
1.39
1.37
1.37
1.39
1.37
1.39
1.39
1.39
1.37
1.38
1.37
1.41
1.41
1.42
1.42

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171753&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]6 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=171753&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171753&T=0

As an alternative you can also use a QR Code:  
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 time6 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Properties of Density Trace
Bandwidth0.0181069539862057
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.0181069539862057 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171753&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.0181069539862057[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171753&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171753&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Properties of Density Trace
Bandwidth0.0181069539862057
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.299215315159517.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.33028242830129 & 7.06532516899328 \tabularnewline
Epanechnikov & 1.33706070753222 & 6.82913294520898 \tabularnewline
Rectangular & 1.29921531515951 & 7.97138863926897 \tabularnewline
Triangular & 1.33028242830129 & 7.03321463300156 \tabularnewline
Biweight & 1.33367156791676 & 6.84509787244899 \tabularnewline
Cosine & 1.33310671131418 & 6.88223356670301 \tabularnewline
Optcosine & 1.33706070753222 & 6.83007208053539 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171753&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]1.33028242830129[/C][C]7.06532516899328[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.33706070753222[/C][C]6.82913294520898[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.29921531515951[/C][C]7.97138863926897[/C][/ROW]
[ROW][C]Triangular[/C][C]1.33028242830129[/C][C]7.03321463300156[/C][/ROW]
[ROW][C]Biweight[/C][C]1.33367156791676[/C][C]6.84509787244899[/C][/ROW]
[ROW][C]Cosine[/C][C]1.33310671131418[/C][C]6.88223356670301[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.33706070753222[/C][C]6.83007208053539[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171753&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171753&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.299215315159517.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539






Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.299780171762097.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.33028242830129 & 7.06532516899328 \tabularnewline
Epanechnikov & 1.33706070753222 & 6.82913294520898 \tabularnewline
Rectangular & 1.29978017176209 & 7.97138863926897 \tabularnewline
Triangular & 1.33028242830129 & 7.03321463300156 \tabularnewline
Biweight & 1.33367156791676 & 6.84509787244899 \tabularnewline
Cosine & 1.33310671131418 & 6.88223356670301 \tabularnewline
Optcosine & 1.33706070753222 & 6.83007208053539 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171753&T=3

[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]1.33028242830129[/C][C]7.06532516899328[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.33706070753222[/C][C]6.82913294520898[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.29978017176209[/C][C]7.97138863926897[/C][/ROW]
[ROW][C]Triangular[/C][C]1.33028242830129[/C][C]7.03321463300156[/C][/ROW]
[ROW][C]Biweight[/C][C]1.33367156791676[/C][C]6.84509787244899[/C][/ROW]
[ROW][C]Cosine[/C][C]1.33310671131418[/C][C]6.88223356670301[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.33706070753222[/C][C]6.83007208053539[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171753&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171753&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.299780171762097.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539






Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.300345028364677.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.33028242830129 & 7.06532516899328 \tabularnewline
Epanechnikov & 1.33706070753222 & 6.82913294520898 \tabularnewline
Rectangular & 1.30034502836467 & 7.97138863926897 \tabularnewline
Triangular & 1.33028242830129 & 7.03321463300156 \tabularnewline
Biweight & 1.33367156791676 & 6.84509787244899 \tabularnewline
Cosine & 1.33310671131418 & 6.88223356670301 \tabularnewline
Optcosine & 1.33706070753222 & 6.83007208053539 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171753&T=4

[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]1.33028242830129[/C][C]7.06532516899328[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.33706070753222[/C][C]6.82913294520898[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.30034502836467[/C][C]7.97138863926897[/C][/ROW]
[ROW][C]Triangular[/C][C]1.33028242830129[/C][C]7.03321463300156[/C][/ROW]
[ROW][C]Biweight[/C][C]1.33367156791676[/C][C]6.84509787244899[/C][/ROW]
[ROW][C]Cosine[/C][C]1.33310671131418[/C][C]6.88223356670301[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.33706070753222[/C][C]6.83007208053539[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171753&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171753&T=4

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian1.330282428301297.06532516899328
Epanechnikov1.337060707532226.82913294520898
Rectangular1.300345028364677.97138863926897
Triangular1.330282428301297.03321463300156
Biweight1.333671567916766.84509787244899
Cosine1.333106711314186.88223356670301
Optcosine1.337060707532226.83007208053539


Figures (Output of Computation)

Input Parameters & R Code

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')
}