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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 computationWed, 24 Sep 2014 17:35:55 +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/24/t1411576668672j3q0s4netqn6.htm/, Retrieved Fri, 10 May 2024 16:02:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=236146, Retrieved Fri, 10 May 2024 16:02:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [] [2014-09-18 16:17:04] [805598a4c9f7b928c08984e3db91ca37]
- RMP     [Kernel Density Estimation] [] [2014-09-24 16:35:55] [86aa9cab8dcce5e94006dddc76eef874] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18293.9
18613.4
18728.5
20091.8
18947.2
20124.9
19819.2
15908.6
19927.4
19551.9
15588.6
14206.2
13566.7
13941.5
14964.1
14086
13505.1
15300.4
14725.2
12484.9
16082.6
15915.8
15916.1
15713
14746
15253.2
18384.3
16848.5
16485.5
19257.1
17093.4
15700.1
19124.3
18640.8
18439.2
17106.3
18347.7
19372.7
22263.8
19422.9
21268.6
20310
19256
17535.9
19857.4
19628.4
19727.5
18112.2
19080.2
20684.6
22537.7
19954.6
20230.2
20445.5
19615.3
18071.6
19287.2
21031.4
19860.9
17671.3
19359.2
19287
21498
20859.7
20833.1
20318.8
21375.9
17403.4
21050.1
22010.2
20372.1
19028.4

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=236146&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=236146&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Bandwidth916.038241778158
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 916.038241778158 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]916.038241778158[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Bandwidth916.038241778158
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19504.37520355930.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 19565.2324616833 & 0.000185664729130823 \tabularnewline
Epanechnikov & 19626.0897198072 & 0.000179852099124695 \tabularnewline
Rectangular & 19504.3752035593 & 0.000179451516483826 \tabularnewline
Triangular & 19534.8038326213 & 0.000182785228882028 \tabularnewline
Biweight & 19565.2324616833 & 0.00018139256981576 \tabularnewline
Cosine & 19565.2324616833 & 0.000181963149147158 \tabularnewline
Optcosine & 19595.6610907453 & 0.000180350646041867 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&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]19565.2324616833[/C][C]0.000185664729130823[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]19626.0897198072[/C][C]0.000179852099124695[/C][/ROW]
[ROW][C]Rectangular[/C][C]19504.3752035593[/C][C]0.000179451516483826[/C][/ROW]
[ROW][C]Triangular[/C][C]19534.8038326213[/C][C]0.000182785228882028[/C][/ROW]
[ROW][C]Biweight[/C][C]19565.2324616833[/C][C]0.00018139256981576[/C][/ROW]
[ROW][C]Cosine[/C][C]19565.2324616833[/C][C]0.000181963149147158[/C][/ROW]
[ROW][C]Optcosine[/C][C]19595.6610907453[/C][C]0.000180350646041867[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19504.37520355930.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867






Maximum Density Values
Kernelx-valuemax. density
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19534.80383262130.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 19565.2324616833 & 0.000185664729130823 \tabularnewline
Epanechnikov & 19626.0897198072 & 0.000179852099124695 \tabularnewline
Rectangular & 19534.8038326213 & 0.000179451516483826 \tabularnewline
Triangular & 19534.8038326213 & 0.000182785228882028 \tabularnewline
Biweight & 19565.2324616833 & 0.00018139256981576 \tabularnewline
Cosine & 19565.2324616833 & 0.000181963149147158 \tabularnewline
Optcosine & 19595.6610907453 & 0.000180350646041867 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&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]19565.2324616833[/C][C]0.000185664729130823[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]19626.0897198072[/C][C]0.000179852099124695[/C][/ROW]
[ROW][C]Rectangular[/C][C]19534.8038326213[/C][C]0.000179451516483826[/C][/ROW]
[ROW][C]Triangular[/C][C]19534.8038326213[/C][C]0.000182785228882028[/C][/ROW]
[ROW][C]Biweight[/C][C]19565.2324616833[/C][C]0.00018139256981576[/C][/ROW]
[ROW][C]Cosine[/C][C]19565.2324616833[/C][C]0.000181963149147158[/C][/ROW]
[ROW][C]Optcosine[/C][C]19595.6610907453[/C][C]0.000180350646041867[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19534.80383262130.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867






Maximum Density Values
Kernelx-valuemax. density
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19565.23246168330.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 19565.2324616833 & 0.000185664729130823 \tabularnewline
Epanechnikov & 19626.0897198072 & 0.000179852099124695 \tabularnewline
Rectangular & 19565.2324616833 & 0.000179451516483826 \tabularnewline
Triangular & 19534.8038326213 & 0.000182785228882028 \tabularnewline
Biweight & 19565.2324616833 & 0.00018139256981576 \tabularnewline
Cosine & 19565.2324616833 & 0.000181963149147158 \tabularnewline
Optcosine & 19595.6610907453 & 0.000180350646041867 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&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]19565.2324616833[/C][C]0.000185664729130823[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]19626.0897198072[/C][C]0.000179852099124695[/C][/ROW]
[ROW][C]Rectangular[/C][C]19565.2324616833[/C][C]0.000179451516483826[/C][/ROW]
[ROW][C]Triangular[/C][C]19534.8038326213[/C][C]0.000182785228882028[/C][/ROW]
[ROW][C]Biweight[/C][C]19565.2324616833[/C][C]0.00018139256981576[/C][/ROW]
[ROW][C]Cosine[/C][C]19565.2324616833[/C][C]0.000181963149147158[/C][/ROW]
[ROW][C]Optcosine[/C][C]19595.6610907453[/C][C]0.000180350646041867[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19565.23246168330.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867






Maximum Density Values
Kernelx-valuemax. density
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19595.66109074530.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 19565.2324616833 & 0.000185664729130823 \tabularnewline
Epanechnikov & 19626.0897198072 & 0.000179852099124695 \tabularnewline
Rectangular & 19595.6610907453 & 0.000179451516483826 \tabularnewline
Triangular & 19534.8038326213 & 0.000182785228882028 \tabularnewline
Biweight & 19565.2324616833 & 0.00018139256981576 \tabularnewline
Cosine & 19565.2324616833 & 0.000181963149147158 \tabularnewline
Optcosine & 19595.6610907453 & 0.000180350646041867 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&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]19565.2324616833[/C][C]0.000185664729130823[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]19626.0897198072[/C][C]0.000179852099124695[/C][/ROW]
[ROW][C]Rectangular[/C][C]19595.6610907453[/C][C]0.000179451516483826[/C][/ROW]
[ROW][C]Triangular[/C][C]19534.8038326213[/C][C]0.000182785228882028[/C][/ROW]
[ROW][C]Biweight[/C][C]19565.2324616833[/C][C]0.00018139256981576[/C][/ROW]
[ROW][C]Cosine[/C][C]19565.2324616833[/C][C]0.000181963149147158[/C][/ROW]
[ROW][C]Optcosine[/C][C]19595.6610907453[/C][C]0.000180350646041867[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19595.66109074530.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867






Maximum Density Values
Kernelx-valuemax. density
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19626.08971980720.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 19565.2324616833 & 0.000185664729130823 \tabularnewline
Epanechnikov & 19626.0897198072 & 0.000179852099124695 \tabularnewline
Rectangular & 19626.0897198072 & 0.000179451516483826 \tabularnewline
Triangular & 19534.8038326213 & 0.000182785228882028 \tabularnewline
Biweight & 19565.2324616833 & 0.00018139256981576 \tabularnewline
Cosine & 19565.2324616833 & 0.000181963149147158 \tabularnewline
Optcosine & 19595.6610907453 & 0.000180350646041867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=236146&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]19565.2324616833[/C][C]0.000185664729130823[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]19626.0897198072[/C][C]0.000179852099124695[/C][/ROW]
[ROW][C]Rectangular[/C][C]19626.0897198072[/C][C]0.000179451516483826[/C][/ROW]
[ROW][C]Triangular[/C][C]19534.8038326213[/C][C]0.000182785228882028[/C][/ROW]
[ROW][C]Biweight[/C][C]19565.2324616833[/C][C]0.00018139256981576[/C][/ROW]
[ROW][C]Cosine[/C][C]19565.2324616833[/C][C]0.000181963149147158[/C][/ROW]
[ROW][C]Optcosine[/C][C]19595.6610907453[/C][C]0.000180350646041867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=236146&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=236146&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
Gaussian19565.23246168330.000185664729130823
Epanechnikov19626.08971980720.000179852099124695
Rectangular19626.08971980720.000179451516483826
Triangular19534.80383262130.000182785228882028
Biweight19565.23246168330.00018139256981576
Cosine19565.23246168330.000181963149147158
Optcosine19595.66109074530.000180350646041867


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')
}