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R Software Module

rwasp_density.wasp

Title produced by software

Kernel Density Estimation

Date of computation

Tue, 02 Oct 2012 06:36:25 -0400

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/2012/Oct/02/t13491742178mw4wnj1gvlc5zq.htm/, Retrieved Sun, 05 May 2024 00:05:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=171102, Retrieved Sun, 05 May 2024 00:05:33 +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] [] [2012-09-28 07:31:53] [04fa4ee604cd977030026ba8260136a9]
- RMP     [Kernel Density Estimation] [] [2012-10-02 10:36:25] [0dfc9291120e0017631158d00b067a5a] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 5 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	5 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Properties of Density Trace
Bandwidth	344.493972941469
#Observations	72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 344.493972941469 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]344.493972941469[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	344.493972941469
#Observations	72

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2151.74802896937	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2151.74802896937 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2151.74802896937[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2151.74802896937	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2161.71664704696	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2161.71664704696 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2161.71664704696[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2161.71664704696	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2171.68526512455	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2171.68526512455 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2171.68526512455[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2171.68526512455	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2181.65388320214	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2181.65388320214 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2181.65388320214[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2181.65388320214	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2191.62250127973	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2191.62250127973 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2191.62250127973[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2191.62250127973	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2201.59111935732	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2201.59111935732 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2201.59111935732[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2201.59111935732	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2211.55973743491	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2211.55973743491 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2211.55973743491[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2211.55973743491	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2221.5283555125	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2221.5283555125 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&T=9

[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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2221.5283555125[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&T=9

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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2221.5283555125	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

Maximum Density Values
Kernel	x-value	max. density
Gaussian	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2231.49697359009	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 2450.80657129709 & 0.000476865668271707 \tabularnewline
Epanechnikov & 2390.99486283154 & 0.000461763627503407 \tabularnewline
Rectangular & 2231.49697359009 & 0.0004538996620765 \tabularnewline
Triangular & 2470.74380745227 & 0.000473017234504639 \tabularnewline
Biweight & 2410.93209898673 & 0.0004651005778376 \tabularnewline
Cosine & 2410.93209898673 & 0.000466433823061475 \tabularnewline
Optcosine & 2390.99486283154 & 0.000462701623198252 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=171102&T=10

[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]2450.80657129709[/C][C]0.000476865668271707[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]2390.99486283154[/C][C]0.000461763627503407[/C][/ROW]
[ROW][C]Rectangular[/C][C]2231.49697359009[/C][C]0.0004538996620765[/C][/ROW]
[ROW][C]Triangular[/C][C]2470.74380745227[/C][C]0.000473017234504639[/C][/ROW]
[ROW][C]Biweight[/C][C]2410.93209898673[/C][C]0.0004651005778376[/C][/ROW]
[ROW][C]Cosine[/C][C]2410.93209898673[/C][C]0.000466433823061475[/C][/ROW]
[ROW][C]Optcosine[/C][C]2390.99486283154[/C][C]0.000462701623198252[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=171102&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=171102&T=10

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	2450.80657129709	0.000476865668271707
Epanechnikov	2390.99486283154	0.000461763627503407
Rectangular	2231.49697359009	0.0004538996620765
Triangular	2470.74380745227	0.000473017234504639
Biweight	2410.93209898673	0.0004651005778376
Cosine	2410.93209898673	0.000466433823061475
Optcosine	2390.99486283154	0.000462701623198252

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 = 4 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 0 ; par2 = no ; par3 = 512 ;

R code (references can be found in the software module):

if (par1 == '0') bw <- 'nrd0'
if (par1 != '0') bw <- as.numeric(par1)
par3 <- as.numeric(par3)
mydensity <- array(NA, dim=c(par3,8))
bitmap(file='density1.png')
mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
mydensity[,8] = signif(mydensity1$x,3)
mydensity[,1] = signif(mydensity1$y,3)
plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
mydensity1
bitmap(file='density2.png')
mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
mydensity[,2] = signif(mydensity2$y,3)
plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density3.png')
mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
mydensity[,3] = signif(mydensity3$y,3)
plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density4.png')
mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
mydensity[,4] = signif(mydensity4$y,3)
plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density5.png')
mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
mydensity[,5] = signif(mydensity5$y,3)
plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density6.png')
mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
mydensity[,6] = signif(mydensity6$y,3)
plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density7.png')
mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
mydensity[,7] = signif(mydensity7$y,3)
plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Properties of Density Trace',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bandwidth',header=TRUE)
a<-table.element(a,mydensity1$bw)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Observations',header=TRUE)
a<-table.element(a,mydensity1$n)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Maximum Density Values',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kernel',1,TRUE)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'max. density',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
a<-table.element(a,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
a<-table.element(a,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
a<-table.element(a,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
a<-table.element(a,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
a<-table.element(a,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
a<-table.element(a,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.element(a,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
a<-table.element(a,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
if (par2=='yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values',8,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.row.end(a)
for(i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,mydensity[i,8],1,TRUE)
for(j in 1:7) {
a<-table.element(a,mydensity[i,j],1)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code