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Author

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R Software Module

rwasp_density.wasp

Title produced by software

Kernel Density Estimation

Date of computation

Mon, 25 Nov 2013 09:47:35 -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/Nov/25/t1385390898lhg2eozsd7c780e.htm/, Retrieved Mon, 29 Apr 2024 18:08:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=228316, Retrieved Mon, 29 Apr 2024 18:08:27 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Variability] [Pregnancy and Cog...] [2009-10-24 23:53:36] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMPD  [Correlation] [Cognition in Preg...] [2011-10-24 17:01:26] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R       [Correlation] [Week 7- Correlation] [2013-11-25 14:42:34] [ad331eacc88aa9ef9db187816928640c]
- RMPD      [Histogram] [W7- Histogram] [2013-11-25 14:46:17] [ad331eacc88aa9ef9db187816928640c]
- RMP           [Kernel Density Estimation] [W7- Kernel] [2013-11-25 14:47:35] [ca29beeaba302335ae71893e53d58587] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

4.8
4.2
4.6
4.8
4.6
6.2
4.4
4.2
4
4.2
4.4
5.2
3.8
5.2
4.6
4.2
5.4
4.6
4.4
5
4.8
6.2
5.2
4.6
4.6
4.2
4
4.6
4.6
5
4.6
5.6
4
3.8
5.8
4.2
3.4
3.8
4.8
4.2
4
5
5
4.6
5
3.8
5
4.8
5
4.2
4.8
4.6
5
5
4
4
3.2
5.2
4.6
3.6
4.8
4.8
4.8
4
5
4.4
5.2
4
5.6
7
4.2
4
5.2
4.2
4.6
4.8
4.8
4
4.4
4
4.6
4.2
4
3.8
6
5
5.4
4.2
5.4
5.6
5.2
4.4
4.4
4.2
4
4.2

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	'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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	'George Udny Yule' @ yule.wessa.net

Properties of Density Trace
Bandwidth	0.215661912114689
#Observations	96

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.215661912114689 \tabularnewline
#Observations & 96 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.215661912114689[/C][/ROW]
[ROW][C]#Observations[/C][C]96[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	0.215661912114689
#Observations	96

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.24768187687899	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.24768187687899 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.24768187687899[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.24768187687899	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.25765050989795	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.25765050989795 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.25765050989795[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.25765050989795	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.26761914291691	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.26761914291691 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.26761914291691[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.26761914291691	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.27758777593587	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.27758777593587 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.27758777593587[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.27758777593587	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.28755640895483	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.28755640895483 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.28755640895483[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.28755640895483	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.29752504197379	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.29752504197379 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.29752504197379[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.29752504197379	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.30749367499275	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.30749367499275 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.30749367499275[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.30749367499275	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.31746230801171	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.31746230801171 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.31746230801171[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.31746230801171	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.34736820706858	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.34736820706858 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.34736820706858[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.34736820706858	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

Maximum Density Values
Kernel	x-value	max. density
Gaussian	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.35733684008754	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 4.67633309669424 & 0.594462329979418 \tabularnewline
Epanechnikov & 4.38724273914442 & 0.611632974071909 \tabularnewline
Rectangular & 4.35733684008754 & 0.669277045177305 \tabularnewline
Triangular & 4.59658403254256 & 0.61489901406974 \tabularnewline
Biweight & 4.3673054731065 & 0.596625694569504 \tabularnewline
Cosine & 4.31746230801171 & 0.593868168758008 \tabularnewline
Optcosine & 4.38724273914442 & 0.607528777620786 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228316&T=11

[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]4.67633309669424[/C][C]0.594462329979418[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]4.38724273914442[/C][C]0.611632974071909[/C][/ROW]
[ROW][C]Rectangular[/C][C]4.35733684008754[/C][C]0.669277045177305[/C][/ROW]
[ROW][C]Triangular[/C][C]4.59658403254256[/C][C]0.61489901406974[/C][/ROW]
[ROW][C]Biweight[/C][C]4.3673054731065[/C][C]0.596625694569504[/C][/ROW]
[ROW][C]Cosine[/C][C]4.31746230801171[/C][C]0.593868168758008[/C][/ROW]
[ROW][C]Optcosine[/C][C]4.38724273914442[/C][C]0.607528777620786[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228316&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228316&T=11

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	4.67633309669424	0.594462329979418
Epanechnikov	4.38724273914442	0.611632974071909
Rectangular	4.35733684008754	0.669277045177305
Triangular	4.59658403254256	0.61489901406974
Biweight	4.3673054731065	0.596625694569504
Cosine	4.31746230801171	0.593868168758008
Optcosine	4.38724273914442	0.607528777620786

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