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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

Tue, 03 Feb 2015 19:59:23 +0000

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/2015/Feb/03/t1422993624xri2z1aqbm12xc4.htm/, Retrieved Sat, 18 May 2024 06:20:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=276570, Retrieved Sat, 18 May 2024 06:20:19 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Ascari Maerevoet

Estimated Impact

146

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

-     [Univariate Data Series] [Opgave 1 verbeterd] [2015-02-03 18:41:16] [6514c6841f87d5984b117bf64f5432d7]
- RMP     [Kernel Density Estimation] [Opgave 2 opdracht...] [2015-02-03 19:59:23] [1738856fac0304df70af8aee7fa46d3f] [Current]

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Dataseries X:

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Histogram

Boxplots

-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2
-3
1
-2
-1
1
-3
-4
-9
-9
-7
-14
-12
-16
-20
-12
-12
-10
-10
-13
-16
-14
-17
-24
-25
-23
-17
-24
-20
-19
-18
-16
-12
-7
-6
-6
-5
-4
-4
-8
-9
-6
-7
-10
-11
-11
-12
-14
-12

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]3 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=276570&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Properties of Density Trace
Bandwidth	2.57034931184838
#Observations	72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 2.57034931184838 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]2.57034931184838[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	2.57034931184838
#Observations	72

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.2564432211387	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -13.2564432211387 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-13.2564432211387[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.2564432211387	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.1753823681621	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -13.1753823681621 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-13.1753823681621[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.1753823681621	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.0943215151854	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -13.0943215151854 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-13.0943215151854[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.0943215151854	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.0132606622087	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -13.0132606622087 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-13.0132606622087[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-13.0132606622087	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.932199809232	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -12.932199809232 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-12.932199809232[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.932199809232	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.8511389562553	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -12.8511389562553 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-12.8511389562553[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.8511389562553	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.7700781032786	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -12.7700781032786 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-12.7700781032786[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.7700781032786	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.6890172503019	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -12.6890172503019 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-12.6890172503019[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-12.6890172503019	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

Maximum Density Values
Kernel	x-value	max. density
Gaussian	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-7.82536607170029	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & -11.3109827496981 & 0.054828124362301 \tabularnewline
Epanechnikov & -10.9867393377913 & 0.0535395977352112 \tabularnewline
Rectangular & -7.82536607170029 & 0.0530351314236867 \tabularnewline
Triangular & -11.9594695735117 & 0.0547228100107749 \tabularnewline
Biweight & -11.3109827496981 & 0.0538732802740858 \tabularnewline
Cosine & -11.3920436026748 & 0.0540044644774466 \tabularnewline
Optcosine & -11.3920436026748 & 0.0537071500996149 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276570&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]-11.3109827496981[/C][C]0.054828124362301[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-10.9867393377913[/C][C]0.0535395977352112[/C][/ROW]
[ROW][C]Rectangular[/C][C]-7.82536607170029[/C][C]0.0530351314236867[/C][/ROW]
[ROW][C]Triangular[/C][C]-11.9594695735117[/C][C]0.0547228100107749[/C][/ROW]
[ROW][C]Biweight[/C][C]-11.3109827496981[/C][C]0.0538732802740858[/C][/ROW]
[ROW][C]Cosine[/C][C]-11.3920436026748[/C][C]0.0540044644774466[/C][/ROW]
[ROW][C]Optcosine[/C][C]-11.3920436026748[/C][C]0.0537071500996149[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276570&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276570&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	-11.3109827496981	0.054828124362301
Epanechnikov	-10.9867393377913	0.0535395977352112
Rectangular	-7.82536607170029	0.0530351314236867
Triangular	-11.9594695735117	0.0547228100107749
Biweight	-11.3109827496981	0.0538732802740858
Cosine	-11.3920436026748	0.0540044644774466
Optcosine	-11.3920436026748	0.0537071500996149

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