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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationMon, 29 Sep 2014 11:43:23 +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/2014/Sep/29/t1411987429oykk1lb4st0ejot.htm/, Retrieved Mon, 13 May 2024 00:38:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=236756, Retrieved Mon, 13 May 2024 00:38:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2014-09-29 10:43:23] [0837030ca90013de3b1661dab7c6b0da] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-3497
-13
1843
-3144
7625
3118
1373
-7172
2054
187
5615
-131
-2024
-2084
-388
-2567
7755
2527
1920
-4322
3158
-38
5421
174
-4163
589
1694
-4668
6167
2232
1733
-1717
2356
2632
6077
646
-1980
-705
2322
-1817
5686
3278
2090
-3191
3529
-1671
5283
292
-3086
-40
1613
-2814
6451
1907
2879
-3704
1012
-3495
4438
1120
-1936
388
881
-2351
7336
2191
1891
6287
1302
5154
9957
799

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236756&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236756&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236756&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Properties of Density Trace
Bandwidth1322.75777324009
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 1322.75777324009 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236756&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]1322.75777324009[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236756&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236756&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
Bandwidth1322.75777324009
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian1417.025975185360.000119709890556341
Epanechnikov1466.077925556090.000114665314944376
Rectangular1367.974024814640.00011518081701607
Triangular1711.337677409710.000115550938435238
Biweight1367.974024814640.000116147799648619
Cosine1367.974024814640.000116703645880311
Optcosine1515.129875926810.000114912660909662

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1417.02597518536 & 0.000119709890556341 \tabularnewline
Epanechnikov & 1466.07792555609 & 0.000114665314944376 \tabularnewline
Rectangular & 1367.97402481464 & 0.00011518081701607 \tabularnewline
Triangular & 1711.33767740971 & 0.000115550938435238 \tabularnewline
Biweight & 1367.97402481464 & 0.000116147799648619 \tabularnewline
Cosine & 1367.97402481464 & 0.000116703645880311 \tabularnewline
Optcosine & 1515.12987592681 & 0.000114912660909662 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236756&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]1417.02597518536[/C][C]0.000119709890556341[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1466.07792555609[/C][C]0.000114665314944376[/C][/ROW]
[ROW][C]Rectangular[/C][C]1367.97402481464[/C][C]0.00011518081701607[/C][/ROW]
[ROW][C]Triangular[/C][C]1711.33767740971[/C][C]0.000115550938435238[/C][/ROW]
[ROW][C]Biweight[/C][C]1367.97402481464[/C][C]0.000116147799648619[/C][/ROW]
[ROW][C]Cosine[/C][C]1367.97402481464[/C][C]0.000116703645880311[/C][/ROW]
[ROW][C]Optcosine[/C][C]1515.12987592681[/C][C]0.000114912660909662[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236756&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236756&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
Gaussian1417.025975185360.000119709890556341
Epanechnikov1466.077925556090.000114665314944376
Rectangular1367.974024814640.00011518081701607
Triangular1711.337677409710.000115550938435238
Biweight1367.974024814640.000116147799648619
Cosine1367.974024814640.000116703645880311
Optcosine1515.129875926810.000114912660909662






Maximum Density Values
Kernelx-valuemax. density
Gaussian1417.025975185360.000119709890556341
Epanechnikov1466.077925556090.000114665314944376
Rectangular1466.077925556090.00011518081701607
Triangular1711.337677409710.000115550938435238
Biweight1367.974024814640.000116147799648619
Cosine1367.974024814640.000116703645880311
Optcosine1515.129875926810.000114912660909662

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1417.02597518536 & 0.000119709890556341 \tabularnewline
Epanechnikov & 1466.07792555609 & 0.000114665314944376 \tabularnewline
Rectangular & 1466.07792555609 & 0.00011518081701607 \tabularnewline
Triangular & 1711.33767740971 & 0.000115550938435238 \tabularnewline
Biweight & 1367.97402481464 & 0.000116147799648619 \tabularnewline
Cosine & 1367.97402481464 & 0.000116703645880311 \tabularnewline
Optcosine & 1515.12987592681 & 0.000114912660909662 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236756&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]1417.02597518536[/C][C]0.000119709890556341[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1466.07792555609[/C][C]0.000114665314944376[/C][/ROW]
[ROW][C]Rectangular[/C][C]1466.07792555609[/C][C]0.00011518081701607[/C][/ROW]
[ROW][C]Triangular[/C][C]1711.33767740971[/C][C]0.000115550938435238[/C][/ROW]
[ROW][C]Biweight[/C][C]1367.97402481464[/C][C]0.000116147799648619[/C][/ROW]
[ROW][C]Cosine[/C][C]1367.97402481464[/C][C]0.000116703645880311[/C][/ROW]
[ROW][C]Optcosine[/C][C]1515.12987592681[/C][C]0.000114912660909662[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236756&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236756&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
Gaussian1417.025975185360.000119709890556341
Epanechnikov1466.077925556090.000114665314944376
Rectangular1466.077925556090.00011518081701607
Triangular1711.337677409710.000115550938435238
Biweight1367.974024814640.000116147799648619
Cosine1367.974024814640.000116703645880311
Optcosine1515.129875926810.000114912660909662


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')
}