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Author's title

Author

*Unverified author*

R Software Module

rwasp_density.wasp

Title produced by software

Kernel Density Estimation

Date of computation

Mon, 11 Feb 2013 09:31:00 -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/2013/Feb/11/t1360593206rkx4g21jydzx7fa.htm/, Retrieved Mon, 29 Apr 2024 10:00:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=206244, Retrieved Mon, 29 Apr 2024 10:00:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

101

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

-     [Histogram] [Gemid.cons.prijze...] [2013-02-11 13:15:13] [29c7c1466787ebb10ff03a0d0850149c]
- RM D    [Kernel Density Estimation] [Dichtheidsgrafiek...] [2013-02-11 14:31:00] [2ad6cfb061f4abd47c32d0a7b72d8383] [Current]

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Dataseries X:

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Histogram

Boxplots

4.69
4.69
4.69
4.69
4.69
4.69
4.69
4.73
4.78
4.79
4.79
4.8
4.8
4.81
5.16
5.26
5.29
5.29
5.29
5.3
5.3
5.3
5.3
5.3
5.3
5.3
5.3
5.35
5.44
5.47
5.47
5.48
5.48
5.48
5.48
5.48
5.48
5.48
5.5
5.55
5.57
5.58
5.58
5.58
5.59
5.59
5.59
5.55
5.61
5.61
5.61
5.63
5.69
5.7
5.7
5.7
5.7
5.7
5.7
5.7
5.7
5.7
5.7
5.71
5.74
5.77
5.79
5.79
5.8
5.8
5.8
5.8

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	'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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Properties of Density Trace
Bandwidth	0.117072547445502
#Observations	72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.117072547445502 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.117072547445502[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	0.117072547445502
#Observations	72

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.60500426887341	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.60500426887341 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.60500426887341[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.60500426887341	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.60855110896083	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.60855110896083 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.60855110896083[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.60855110896083	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.61209794904825	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.61209794904825 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.61209794904825[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.61209794904825	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.61564478913567	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.61564478913567 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.61564478913567[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.61564478913567	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.6191916292231	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.6191916292231 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.6191916292231[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.6191916292231	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.62273846931052	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.62273846931052 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.62273846931052[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.62273846931052	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Maximum Density Values
Kernel	x-value	max. density
Gaussian	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.62628530939794	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 5.6191916292231 & 1.43427170459851 \tabularnewline
Epanechnikov & 5.62628530939794 & 1.43262212668962 \tabularnewline
Rectangular & 5.62628530939794 & 1.50686549581154 \tabularnewline
Triangular & 5.60855110896083 & 1.41074741885603 \tabularnewline
Biweight & 5.62628530939794 & 1.42591502874807 \tabularnewline
Cosine & 5.62628530939794 & 1.42392562636659 \tabularnewline
Optcosine & 5.62628530939794 & 1.428283214835 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206244&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]5.6191916292231[/C][C]1.43427170459851[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]5.62628530939794[/C][C]1.43262212668962[/C][/ROW]
[ROW][C]Rectangular[/C][C]5.62628530939794[/C][C]1.50686549581154[/C][/ROW]
[ROW][C]Triangular[/C][C]5.60855110896083[/C][C]1.41074741885603[/C][/ROW]
[ROW][C]Biweight[/C][C]5.62628530939794[/C][C]1.42591502874807[/C][/ROW]
[ROW][C]Cosine[/C][C]5.62628530939794[/C][C]1.42392562636659[/C][/ROW]
[ROW][C]Optcosine[/C][C]5.62628530939794[/C][C]1.428283214835[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206244&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206244&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	5.6191916292231	1.43427170459851
Epanechnikov	5.62628530939794	1.43262212668962
Rectangular	5.62628530939794	1.50686549581154
Triangular	5.60855110896083	1.41074741885603
Biweight	5.62628530939794	1.42591502874807
Cosine	5.62628530939794	1.42392562636659
Optcosine	5.62628530939794	1.428283214835

Figure 1

PNG link

Postscript link

PDF link

Figure 2

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Figure 3

PNG link

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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):

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