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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationThu, 06 Feb 2014 11:28:12 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Feb/06/t1391704246tbdvbki3u8e7v65.htm/, Retrieved Thu, 31 Oct 2024 23:27:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233315, Retrieved Thu, 31 Oct 2024 23:27:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2014-02-06 16:28:12] [5f7d0cda5d8a9348873c82369b6851b6] [Current]
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Dataseries X:
80
80
80
80
80
80
80
80
80
80
80
80
80
80
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
85
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
90
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
110
110
110
110
110
110
110
110
110
110
110
110
110
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
120
200
210




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]7 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=233315&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Properties of Density Trace
Bandwidth7.75327345116129
#Observations74

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 7.75327345116129 \tabularnewline
#Observations & 74 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]7.75327345116129[/C][/ROW]
[ROW][C]#Observations[/C][C]74[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Bandwidth7.75327345116129
#Observations74







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.04610251490750.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 97.0461025149075 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]97.0461025149075[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.04610251490750.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.37197265327730.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 97.3719726532773 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]97.3719726532773[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.37197265327730.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.69784279164710.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 97.6978427916471 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]97.6978427916471[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular97.69784279164710.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular98.02371293001690.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 98.0237129300169 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]98.0237129300169[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular98.02371293001690.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular99.65306362186590.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 99.6530636218659 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]99.6530636218659[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular99.65306362186590.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular99.97893376023570.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 99.9789337602357 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]99.9789337602357[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular99.97893376023570.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular100.3048038986060.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 100.304803898606 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]100.304803898606[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular100.3048038986060.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular100.9565441753450.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 100.956544175345 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]100.956544175345[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular100.9565441753450.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.2824143137150.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 101.282414313715 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]101.282414313715[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.2824143137150.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.6082844520850.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 101.608284452085 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]101.608284452085[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&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
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.6082844520850.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.9341545904550.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 101.934154590455 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&T=12

[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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]101.934154590455[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=12

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&T=12

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular101.9341545904550.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237







Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular102.9117650055640.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 95.0908816846887 & 0.0229419199192603 \tabularnewline
Epanechnikov & 98.0237129300169 & 0.0231993380779467 \tabularnewline
Rectangular & 102.911765005564 & 0.0256603592280987 \tabularnewline
Triangular & 99.6530636218659 & 0.0227494283712194 \tabularnewline
Biweight & 97.0461025149075 & 0.0228454616422685 \tabularnewline
Cosine & 96.7202323765377 & 0.0227768858748677 \tabularnewline
Optcosine & 97.6978427916471 & 0.0230426524012237 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233315&T=13

[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]95.0908816846887[/C][C]0.0229419199192603[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]98.0237129300169[/C][C]0.0231993380779467[/C][/ROW]
[ROW][C]Rectangular[/C][C]102.911765005564[/C][C]0.0256603592280987[/C][/ROW]
[ROW][C]Triangular[/C][C]99.6530636218659[/C][C]0.0227494283712194[/C][/ROW]
[ROW][C]Biweight[/C][C]97.0461025149075[/C][C]0.0228454616422685[/C][/ROW]
[ROW][C]Cosine[/C][C]96.7202323765377[/C][C]0.0227768858748677[/C][/ROW]
[ROW][C]Optcosine[/C][C]97.6978427916471[/C][C]0.0230426524012237[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233315&T=13

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233315&T=13

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Maximum Density Values
Kernelx-valuemax. density
Gaussian95.09088168468870.0229419199192603
Epanechnikov98.02371293001690.0231993380779467
Rectangular102.9117650055640.0256603592280987
Triangular99.65306362186590.0227494283712194
Biweight97.04610251490750.0228454616422685
Cosine96.72023237653770.0227768858748677
Optcosine97.69784279164710.0230426524012237



Parameters (Session):
par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 0 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
if (par1 == '0') bw <- 'nrd0'
if (par1 != '0') bw <- as.numeric(par1)
par3 <- as.numeric(par3)
mydensity <- array(NA, dim=c(par3,8))
bitmap(file='density1.png')
mydensity1<-density(x,bw=bw,kernel='gaussian',na.rm=TRUE)
mydensity[,8] = signif(mydensity1$x,3)
mydensity[,1] = signif(mydensity1$y,3)
plot(mydensity1,main='Gaussian Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
mydensity1
bitmap(file='density2.png')
mydensity2<-density(x,bw=bw,kernel='epanechnikov',na.rm=TRUE)
mydensity[,2] = signif(mydensity2$y,3)
plot(mydensity2,main='Epanechnikov Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density3.png')
mydensity3<-density(x,bw=bw,kernel='rectangular',na.rm=TRUE)
mydensity[,3] = signif(mydensity3$y,3)
plot(mydensity3,main='Rectangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density4.png')
mydensity4<-density(x,bw=bw,kernel='triangular',na.rm=TRUE)
mydensity[,4] = signif(mydensity4$y,3)
plot(mydensity4,main='Triangular Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density5.png')
mydensity5<-density(x,bw=bw,kernel='biweight',na.rm=TRUE)
mydensity[,5] = signif(mydensity5$y,3)
plot(mydensity5,main='Biweight Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density6.png')
mydensity6<-density(x,bw=bw,kernel='cosine',na.rm=TRUE)
mydensity[,6] = signif(mydensity6$y,3)
plot(mydensity6,main='Cosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
bitmap(file='density7.png')
mydensity7<-density(x,bw=bw,kernel='optcosine',na.rm=TRUE)
mydensity[,7] = signif(mydensity7$y,3)
plot(mydensity7,main='Optcosine Kernel',xlab=xlab,ylab=ylab)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Properties of Density Trace',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bandwidth',header=TRUE)
a<-table.element(a,mydensity1$bw)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Observations',header=TRUE)
a<-table.element(a,mydensity1$n)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Maximum Density Values',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kernel',1,TRUE)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'max. density',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)
a<-table.element(a,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)
a<-table.element(a,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)
a<-table.element(a,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)
a<-table.element(a,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)
a<-table.element(a,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)
a<-table.element(a,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.element(a,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)
a<-table.element(a,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
if (par2=='yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kernel Density Values',8,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'x-value',1,TRUE)
a<-table.element(a,'Gaussian',1,TRUE)
a<-table.element(a,'Epanechnikov',1,TRUE)
a<-table.element(a,'Rectangular',1,TRUE)
a<-table.element(a,'Triangular',1,TRUE)
a<-table.element(a,'Biweight',1,TRUE)
a<-table.element(a,'Cosine',1,TRUE)
a<-table.element(a,'Optcosine',1,TRUE)
a<-table.row.end(a)
for(i in 1:par3) {
a<-table.row.start(a)
a<-table.element(a,mydensity[i,8],1,TRUE)
for(j in 1:7) {
a<-table.element(a,mydensity[i,j],1)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}