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Author

*Unverified author*

R Software Module

rwasp_density.wasp

Title produced by software

Kernel Density Estimation

Date of computation

Sun, 09 Feb 2014 17:41:17 -0500

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Feb/09/t1391985699hfhsbuyach5jcon.htm/, Retrieved Thu, 16 May 2024 19:22:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233533, Retrieved Thu, 16 May 2024 19:22:57 +0000

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Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Histogram] [] [2014-02-09 22:29:45] [81aa55046b9483ad574c1beb765d747c]
- RMPD    [Kernel Density Estimation] [] [2014-02-09 22:41:17] [aa1782934d0b081042c527b5804d60cd] [Current]

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Dataseries X:

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Histogram

Boxplots

-2
0
1
-3
-3
-5
-7
-7
-5
-13
-16
-20
-18
-21
-20
-16
-14
-12
-10
-3
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-4
-1
-8
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-7
-2
-6
-4
0
2
2
5
8
8
5
10
6
6
9
5
5
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-5
-1
-8
-8
-13
-18
-8
-8
-6
-5
-11
-14
-12
-13
-19
-21
-22
-13
-21
-17
-15
-14
-11
-8
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-2
-1
1

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Properties of Density Trace
Bandwidth	3.16761862660682
#Observations	72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 3.16761862660682 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]3.16761862660682[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Bandwidth	3.16761862660682
#Observations	72

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-3.155258737476	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -3.155258737476 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-3.155258737476[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-3.155258737476	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-3.05544325458042	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -3.05544325458042 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-3.05544325458042[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-3.05544325458042	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.95562777168484	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -2.95562777168484 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-2.95562777168484[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.95562777168484	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.85581228878926	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -2.85581228878926 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-2.85581228878926[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.85581228878926	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.75599680589368	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -2.75599680589368 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-2.75599680589368[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.75599680589368	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.6561813229981	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -4.85212194670084 & 0.0440033825338305 \tabularnewline
Epanechnikov & -4.65249098090968 & 0.043151729647958 \tabularnewline
Rectangular & -2.6561813229981 & 0.0443008477249532 \tabularnewline
Triangular & -4.95193742959642 & 0.043557847906389 \tabularnewline
Biweight & -5.051752912492 & 0.0434264539057639 \tabularnewline
Cosine & -5.051752912492 & 0.04352545089668 \tabularnewline
Optcosine & -4.95193742959642 & 0.0432488676078984 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233533&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]-4.85212194670084[/C][C]0.0440033825338305[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-4.65249098090968[/C][C]0.043151729647958[/C][/ROW]
[ROW][C]Rectangular[/C][C]-2.6561813229981[/C][C]0.0443008477249532[/C][/ROW]
[ROW][C]Triangular[/C][C]-4.95193742959642[/C][C]0.043557847906389[/C][/ROW]
[ROW][C]Biweight[/C][C]-5.051752912492[/C][C]0.0434264539057639[/C][/ROW]
[ROW][C]Cosine[/C][C]-5.051752912492[/C][C]0.04352545089668[/C][/ROW]
[ROW][C]Optcosine[/C][C]-4.95193742959642[/C][C]0.0432488676078984[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233533&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233533&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
Kernel	x-value	max. density
Gaussian	-4.85212194670084	0.0440033825338305
Epanechnikov	-4.65249098090968	0.043151729647958
Rectangular	-2.6561813229981	0.0443008477249532
Triangular	-4.95193742959642	0.043557847906389
Biweight	-5.051752912492	0.0434264539057639
Cosine	-5.051752912492	0.04352545089668
Optcosine	-4.95193742959642	0.0432488676078984

Figure 1

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Figure 2

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Figure 3

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Figure 4

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Figure 5

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Figure 6

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Figure 7

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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):

par3 <- '512'
par2 <- 'no'
par1 <- '0'
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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code