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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

Thu, 07 Feb 2013 13:37:33 -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/07/t1360262305who91bbxva1nqpb.htm/, Retrieved Tue, 30 Apr 2024 19:30:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=206142, Retrieved Tue, 30 Apr 2024 19:30:36 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

135

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

-     [Histogram] [werkloosheidsindex] [2013-01-31 16:56:44] [055083fd24258e53a1cf88f4c405329e]
- R     [Histogram] [Werkloosheidsgraad] [2013-02-07 10:55:28] [74be16979710d4c4e7c6647856088456]
- R       [Histogram] [werkloosheidsgraa...] [2013-02-07 18:01:31] [055083fd24258e53a1cf88f4c405329e]
- RMP         [Kernel Density Estimation] [Dichtheid werkloo...] [2013-02-07 18:37:33] [66913edeccd589e3e35c84ad0be9abda] [Current]
- R             [Kernel Density Estimation] [Dichtheid werkloo...] [2013-02-07 18:46:41] [055083fd24258e53a1cf88f4c405329e] 

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Dataseries X:

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Histogram

Boxplots

8.5
8.5
8.5
8.6
8.6
8.4
8.2
8
8
8
8
7.9
7.9
7.9
7.9
8
7.9
7.4
7.2
7
6.9
7.1
7.2
7.2
7.1
6.9
6.8
6.8
6.8
6.9
7.1
7.2
7.2
7.1
7.1
7.2
7.5
7.7
7.8
7.7
7.7
7.8
8
8.1
8.1
8
8.1
8.2
8.4
8.5
8.5
8.5
8.5
8.5
8.4
8.3
8.2
8.1
7.9
7.6
7.3
7.1
7
7.1
7.1
7.1
7.3
7.3
7.3
7.2
7.2
7.1

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	'George Udny Yule' @ yule.wessa.net

Properties of Density Trace
Bandwidth	0.215587606864322
#Observations	72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.215587606864322 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.215587606864322[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	0.215587606864322
#Observations	72

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.13890530134243	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.13890530134243 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.13890530134243[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.13890530134243	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.14495916756784	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.14495916756784 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.14495916756784[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.14495916756784	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.15101303379325	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.15101303379325 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.15101303379325[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.15101303379325	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.15706690001866	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.15706690001866 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.15706690001866[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.15706690001866	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.16312076624408	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.16312076624408 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.16312076624408[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.16312076624408	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.23576716094903	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.23576716094903 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.23576716094903[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.23576716094903	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.24182102717444	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.24182102717444 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.24182102717444[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.24182102717444	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.24787489339986	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.24787489339986 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.24787489339986[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.24787489339986	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

Maximum Density Values
Kernel	x-value	max. density
Gaussian	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.25392875962527	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 7.14001737414932 & 0.65892296024611 \tabularnewline
Epanechnikov & 7.1339635079239 & 0.609642787104826 \tabularnewline
Rectangular & 8.25392875962527 & 0.632312847391327 \tabularnewline
Triangular & 7.10369417679684 & 0.643472024148867 \tabularnewline
Biweight & 7.12790964169849 & 0.623248573521259 \tabularnewline
Cosine & 7.1339635079239 & 0.628536915105179 \tabularnewline
Optcosine & 7.12790964169849 & 0.614165559087945 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206142&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]7.14001737414932[/C][C]0.65892296024611[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]7.1339635079239[/C][C]0.609642787104826[/C][/ROW]
[ROW][C]Rectangular[/C][C]8.25392875962527[/C][C]0.632312847391327[/C][/ROW]
[ROW][C]Triangular[/C][C]7.10369417679684[/C][C]0.643472024148867[/C][/ROW]
[ROW][C]Biweight[/C][C]7.12790964169849[/C][C]0.623248573521259[/C][/ROW]
[ROW][C]Cosine[/C][C]7.1339635079239[/C][C]0.628536915105179[/C][/ROW]
[ROW][C]Optcosine[/C][C]7.12790964169849[/C][C]0.614165559087945[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206142&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206142&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	7.14001737414932	0.65892296024611
Epanechnikov	7.1339635079239	0.609642787104826
Rectangular	8.25392875962527	0.632312847391327
Triangular	7.10369417679684	0.643472024148867
Biweight	7.12790964169849	0.623248573521259
Cosine	7.1339635079239	0.628536915105179
Optcosine	7.12790964169849	0.614165559087945

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):

par3 <- '512'
par2 <- 'yes'
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