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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 computationSun, 28 Sep 2014 12:16:56 +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/28/t1411903061y9puyr8odgeh3dw.htm/, Retrieved Sun, 12 May 2024 15:32:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=236673, Retrieved Sun, 12 May 2024 15:32:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2014-09-20 20:13:42] [c7805096c758d9a12d6ad8d2910c4769]
- RMP     [Kernel Density Estimation] [] [2014-09-28 11:16:56] [2f27692a17e58baa8638275162e45e6c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137
135
124
118
121
121
118
113
107
100
102
130
136
133
120
112
109
110
106
102
98
92
92
120
127
124
114
108
106
111
110
104
100
96
98
122
134
133
125
118
116
118
116
111
108
102
102
129
136
137
126
119
117

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&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'Sir Maurice George Kendall' @ kendall.wessa.net






Properties of Density Trace
Bandwidth4.9256132766705
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 4.9256132766705 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]4.9256132766705[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&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
Bandwidth4.9256132766705
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular109.7730106487860.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 107.834372378884 & 0.0285299447161131 \tabularnewline
Epanechnikov & 110.580776594579 & 0.0281650268414079 \tabularnewline
Rectangular & 109.773010648786 & 0.0293034713019477 \tabularnewline
Triangular & 108.965244702994 & 0.0287421521269306 \tabularnewline
Biweight & 109.449904270469 & 0.028093995414288 \tabularnewline
Cosine & 108.965244702994 & 0.0281377010038432 \tabularnewline
Optcosine & 110.419223405421 & 0.0281323574700919 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&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]107.834372378884[/C][C]0.0285299447161131[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]110.580776594579[/C][C]0.0281650268414079[/C][/ROW]
[ROW][C]Rectangular[/C][C]109.773010648786[/C][C]0.0293034713019477[/C][/ROW]
[ROW][C]Triangular[/C][C]108.965244702994[/C][C]0.0287421521269306[/C][/ROW]
[ROW][C]Biweight[/C][C]109.449904270469[/C][C]0.028093995414288[/C][/ROW]
[ROW][C]Cosine[/C][C]108.965244702994[/C][C]0.0281377010038432[/C][/ROW]
[ROW][C]Optcosine[/C][C]110.419223405421[/C][C]0.0281323574700919[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&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
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular109.7730106487860.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919






Maximum Density Values
Kernelx-valuemax. density
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular109.9345638379450.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 107.834372378884 & 0.0285299447161131 \tabularnewline
Epanechnikov & 110.580776594579 & 0.0281650268414079 \tabularnewline
Rectangular & 109.934563837945 & 0.0293034713019477 \tabularnewline
Triangular & 108.965244702994 & 0.0287421521269306 \tabularnewline
Biweight & 109.449904270469 & 0.028093995414288 \tabularnewline
Cosine & 108.965244702994 & 0.0281377010038432 \tabularnewline
Optcosine & 110.419223405421 & 0.0281323574700919 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&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]107.834372378884[/C][C]0.0285299447161131[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]110.580776594579[/C][C]0.0281650268414079[/C][/ROW]
[ROW][C]Rectangular[/C][C]109.934563837945[/C][C]0.0293034713019477[/C][/ROW]
[ROW][C]Triangular[/C][C]108.965244702994[/C][C]0.0287421521269306[/C][/ROW]
[ROW][C]Biweight[/C][C]109.449904270469[/C][C]0.028093995414288[/C][/ROW]
[ROW][C]Cosine[/C][C]108.965244702994[/C][C]0.0281377010038432[/C][/ROW]
[ROW][C]Optcosine[/C][C]110.419223405421[/C][C]0.0281323574700919[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&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
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular109.9345638379450.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919






Maximum Density Values
Kernelx-valuemax. density
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular110.0961170271040.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 107.834372378884 & 0.0285299447161131 \tabularnewline
Epanechnikov & 110.580776594579 & 0.0281650268414079 \tabularnewline
Rectangular & 110.096117027104 & 0.0293034713019477 \tabularnewline
Triangular & 108.965244702994 & 0.0287421521269306 \tabularnewline
Biweight & 109.449904270469 & 0.028093995414288 \tabularnewline
Cosine & 108.965244702994 & 0.0281377010038432 \tabularnewline
Optcosine & 110.419223405421 & 0.0281323574700919 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&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]107.834372378884[/C][C]0.0285299447161131[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]110.580776594579[/C][C]0.0281650268414079[/C][/ROW]
[ROW][C]Rectangular[/C][C]110.096117027104[/C][C]0.0293034713019477[/C][/ROW]
[ROW][C]Triangular[/C][C]108.965244702994[/C][C]0.0287421521269306[/C][/ROW]
[ROW][C]Biweight[/C][C]109.449904270469[/C][C]0.028093995414288[/C][/ROW]
[ROW][C]Cosine[/C][C]108.965244702994[/C][C]0.0281377010038432[/C][/ROW]
[ROW][C]Optcosine[/C][C]110.419223405421[/C][C]0.0281323574700919[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&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
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular110.0961170271040.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919






Maximum Density Values
Kernelx-valuemax. density
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular112.8425212427990.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 107.834372378884 & 0.0285299447161131 \tabularnewline
Epanechnikov & 110.580776594579 & 0.0281650268414079 \tabularnewline
Rectangular & 112.842521242799 & 0.0293034713019477 \tabularnewline
Triangular & 108.965244702994 & 0.0287421521269306 \tabularnewline
Biweight & 109.449904270469 & 0.028093995414288 \tabularnewline
Cosine & 108.965244702994 & 0.0281377010038432 \tabularnewline
Optcosine & 110.419223405421 & 0.0281323574700919 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&T=5

[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]107.834372378884[/C][C]0.0285299447161131[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]110.580776594579[/C][C]0.0281650268414079[/C][/ROW]
[ROW][C]Rectangular[/C][C]112.842521242799[/C][C]0.0293034713019477[/C][/ROW]
[ROW][C]Triangular[/C][C]108.965244702994[/C][C]0.0287421521269306[/C][/ROW]
[ROW][C]Biweight[/C][C]109.449904270469[/C][C]0.028093995414288[/C][/ROW]
[ROW][C]Cosine[/C][C]108.965244702994[/C][C]0.0281377010038432[/C][/ROW]
[ROW][C]Optcosine[/C][C]110.419223405421[/C][C]0.0281323574700919[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&T=5

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
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular112.8425212427990.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919






Maximum Density Values
Kernelx-valuemax. density
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular113.1656276211160.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 107.834372378884 & 0.0285299447161131 \tabularnewline
Epanechnikov & 110.580776594579 & 0.0281650268414079 \tabularnewline
Rectangular & 113.165627621116 & 0.0293034713019477 \tabularnewline
Triangular & 108.965244702994 & 0.0287421521269306 \tabularnewline
Biweight & 109.449904270469 & 0.028093995414288 \tabularnewline
Cosine & 108.965244702994 & 0.0281377010038432 \tabularnewline
Optcosine & 110.419223405421 & 0.0281323574700919 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236673&T=6

[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]107.834372378884[/C][C]0.0285299447161131[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]110.580776594579[/C][C]0.0281650268414079[/C][/ROW]
[ROW][C]Rectangular[/C][C]113.165627621116[/C][C]0.0293034713019477[/C][/ROW]
[ROW][C]Triangular[/C][C]108.965244702994[/C][C]0.0287421521269306[/C][/ROW]
[ROW][C]Biweight[/C][C]109.449904270469[/C][C]0.028093995414288[/C][/ROW]
[ROW][C]Cosine[/C][C]108.965244702994[/C][C]0.0281377010038432[/C][/ROW]
[ROW][C]Optcosine[/C][C]110.419223405421[/C][C]0.0281323574700919[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236673&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236673&T=6

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
Gaussian107.8343723788840.0285299447161131
Epanechnikov110.5807765945790.0281650268414079
Rectangular113.1656276211160.0293034713019477
Triangular108.9652447029940.0287421521269306
Biweight109.4499042704690.028093995414288
Cosine108.9652447029940.0281377010038432
Optcosine110.4192234054210.0281323574700919


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')
}