Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_density.wasp

Title produced by software

Kernel Density Estimation

Date of computation

Fri, 14 Feb 2014 06:41:38 -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/14/t1392378160e5lqgpdkmq9plya.htm/, Retrieved Wed, 15 May 2024 04:18:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233632, Retrieved Wed, 15 May 2024 04:18:19 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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

-     [Univariate Data Series] [] [2014-02-14 11:21:37] [db363657be53a1294332fdf107f4512c]
- R PD  [Univariate Data Series] [] [2014-02-14 11:35:19] [db363657be53a1294332fdf107f4512c]
- RMP     [Histogram] [] [2014-02-14 11:36:15] [db363657be53a1294332fdf107f4512c]
- RMP         [Kernel Density Estimation] [] [2014-02-14 11:41:38] [a3f6f3ab25c27d7686091f6989fa462a] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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	'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 & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	'Gwilym Jenkins' @ jenkins.wessa.net

Properties of Density Trace
Bandwidth	0.066965761098965
#Observations	60

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.066965761098965 \tabularnewline
#Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.066965761098965[/C][/ROW]
[ROW][C]#Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	0.066965761098965
#Observations	60

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.36331994085681	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.36331994085681 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.36331994085681[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.36331994085681	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.38705052669971	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.38705052669971 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.38705052669971[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.38705052669971	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.38887595637993	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.38887595637993 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.38887595637993[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.38887595637993	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39252681574038	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.39252681574038 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.39252681574038[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39252681574038	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.3943522454206	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.3943522454206 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.3943522454206[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.3943522454206	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39800310478104	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.39800310478104 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.39800310478104[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39800310478104	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Maximum Density Values
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39982853446127	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1.40713025318216 & 2.85033724188124 \tabularnewline
Epanechnikov & 1.40530482350193 & 2.67590675318754 \tabularnewline
Rectangular & 1.39982853446127 & 2.58647221974999 \tabularnewline
Triangular & 1.40530482350193 & 2.75139098323821 \tabularnewline
Biweight & 1.40530482350193 & 2.72992395985188 \tabularnewline
Cosine & 1.40530482350193 & 2.74777175647519 \tabularnewline
Optcosine & 1.40165396414149 & 2.6914754652555 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233632&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]1.40713025318216[/C][C]2.85033724188124[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1.40530482350193[/C][C]2.67590675318754[/C][/ROW]
[ROW][C]Rectangular[/C][C]1.39982853446127[/C][C]2.58647221974999[/C][/ROW]
[ROW][C]Triangular[/C][C]1.40530482350193[/C][C]2.75139098323821[/C][/ROW]
[ROW][C]Biweight[/C][C]1.40530482350193[/C][C]2.72992395985188[/C][/ROW]
[ROW][C]Cosine[/C][C]1.40530482350193[/C][C]2.74777175647519[/C][/ROW]
[ROW][C]Optcosine[/C][C]1.40165396414149[/C][C]2.6914754652555[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233632&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233632&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
Kernel	x-value	max. density
Gaussian	1.40713025318216	2.85033724188124
Epanechnikov	1.40530482350193	2.67590675318754
Rectangular	1.39982853446127	2.58647221974999
Triangular	1.40530482350193	2.75139098323821
Biweight	1.40530482350193	2.72992395985188
Cosine	1.40530482350193	2.74777175647519
Optcosine	1.40165396414149	2.6914754652555

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Figure 6

PNG link

Postscript link

PDF link

Figure 7

PNG link

Postscript link

PDF link

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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code