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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, 17 Dec 2014 11:53:48 +0000
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/Dec/17/t14188172552ihslr676xwai29.htm/, Retrieved Thu, 16 May 2024 22:25:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270080, Retrieved Thu, 16 May 2024 22:25:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact50
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2014-12-17 11:53:48] [6993448de96b8662e47595bfdf466bf3] [Current]
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Dataseries X:
12
20
14
25
15
20
21
15
28
11
22
22
27
24
23
24
21
20
19
25
16
24
21
22
25
23
20
21
22
25
23
19
21
19
25
16
24
24
18
28
15
17
18
26
18
22
19
17
26
21
26
21
12
20
20
24
24
22
21
20
23
19
24
21
16
17
23
20
19
18
18
21
20
17
25
15
17
17
24
21
22
18
22
20
21
21
20
18
25
23
21
20
21
20
22
15
24
22
21
17
23
22
23
16
18
25
18
14
20
19
18
22
21
14
5
25
21
11
20
9
15
23
21
9
24
16
20
15
18
22
21
21
21
20
24
15
24
18
24
24
15
19
20
26
26
23
13
16
22
21
11
23
18
19
15
8
15
21
25
14
21
18
18
12
24
17
20
24
22
15
22
26
17
23
19
21
23
19
18
16
23
13
18
23
21
23
16
17
20
18
20
19
26
9
23
9
13
27
22
12
18
6
17
22
22
23
19
20
17
24
20
18
23
27
25
24
12
16
24
23
24
24
26
19
28
23
21
19
23
23
20
18
20
28
21
25
18
24
28
9
22
26
28
18
23
15
24
12
12
20
25
24
23
18
20
22
20
25
28
25
14
16
24
13
19
18
16
8
27
23
20
20
26
23
24
21
15
22
25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 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 & 9 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]9 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=270080&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&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 time9 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Properties of Density Trace
Bandwidth1.08889718419459
#Observations279

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 1.08889718419459 \tabularnewline
#Observations & 279 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]1.08889718419459[/C][/ROW]
[ROW][C]#Observations[/C][C]279[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&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
Bandwidth1.08889718419459
#Observations279







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.2103145265580.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.210314526558 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.210314526558[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.2103145265580.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.32590506708710.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.3259050670871 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.3259050670871[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=3

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.32590506708710.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.38370033735160.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.3837003373516 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.3837003373516[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=4

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.38370033735160.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.44149560761610.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.4414956076161 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.4414956076161[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=5

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.44149560761610.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.61488141840960.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.6148814184096 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.6148814184096[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=6

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.61488141840960.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.67267668867420.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.6726766886742 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&T=7

[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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.6726766886742[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=7

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.67267668867420.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618







Maximum Density Values
Kernelx-valuemax. density
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.73047195893870.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 20.8635429049709 & 0.0963461807337386 \tabularnewline
Epanechnikov & 21.9038577697322 & 0.0972113291768135 \tabularnewline
Rectangular & 21.7304719589387 & 0.103572580524884 \tabularnewline
Triangular & 21.0369287157645 & 0.0980141723810747 \tabularnewline
Biweight & 21.094723986029 & 0.0955497395149916 \tabularnewline
Cosine & 21.3259050670871 & 0.0956087757452133 \tabularnewline
Optcosine & 21.9038577697322 & 0.0967288456081618 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270080&T=8

[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]20.8635429049709[/C][C]0.0963461807337386[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]21.9038577697322[/C][C]0.0972113291768135[/C][/ROW]
[ROW][C]Rectangular[/C][C]21.7304719589387[/C][C]0.103572580524884[/C][/ROW]
[ROW][C]Triangular[/C][C]21.0369287157645[/C][C]0.0980141723810747[/C][/ROW]
[ROW][C]Biweight[/C][C]21.094723986029[/C][C]0.0955497395149916[/C][/ROW]
[ROW][C]Cosine[/C][C]21.3259050670871[/C][C]0.0956087757452133[/C][/ROW]
[ROW][C]Optcosine[/C][C]21.9038577697322[/C][C]0.0967288456081618[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270080&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270080&T=8

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
Gaussian20.86354290497090.0963461807337386
Epanechnikov21.90385776973220.0972113291768135
Rectangular21.73047195893870.103572580524884
Triangular21.03692871576450.0980141723810747
Biweight21.0947239860290.0955497395149916
Cosine21.32590506708710.0956087757452133
Optcosine21.90385776973220.0967288456081618



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')
}