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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationFri, 05 Oct 2012 05:34:29 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/05/t13494297674ieptm9xx6fxj9m.htm/, Retrieved Thu, 02 May 2024 14:50:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=172159, Retrieved Thu, 02 May 2024 14:50:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2012-10-05 09:34:29] [119350d3baf712453a84eb36ae72814b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time12 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 & 12 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]12 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=172159&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=0

As an alternative you can also use a QR Code:  
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 time12 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Properties of Density Trace
Bandwidth0.0115978369247171
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.0115978369247171 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.0115978369247171[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Properties of Density Trace
Bandwidth0.0115978369247171
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54045272457179413.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.540452724571794 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.540452724571794[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54045272457179413.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54076502794077313.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.540765027940773 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.540765027940773[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54076502794077313.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54107733130975213.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.541077331309752 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.541077331309752[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=4

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54107733130975213.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54138963467873113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.541389634678731 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.541389634678731[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=5

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54138963467873113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.5417019380477113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.54170193804771 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.54170193804771[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=6

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.5417019380477113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54201424141668913.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.542014241416689 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.542014241416689[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=7

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54201424141668913.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54232654478566813.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.542326544785668 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.542326544785668[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=8

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54232654478566813.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54263884815464713.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.542638848154647 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.542638848154647[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=9

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54263884815464713.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54295115152362613.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.542951151523626 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.542951151523626[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=10

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54295115152362613.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54482497173750113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.544824971737501 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.544824971737501[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=11

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54482497173750113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54638648858239613.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.546386488582396 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.546386488582396[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=12

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=12

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54638648858239613.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54669879195137513.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.546698791951375 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.546698791951375[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=13

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=13

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54669879195137513.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54701109532035413.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.547011095320354 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=14

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.547011095320354[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=14

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=14

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54701109532035413.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54732339868933313.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.547323398689333 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=15

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.547323398689333[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=15

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=15

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54732339868933313.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54763570205831213.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.547635702058312 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=16

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.547635702058312[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=16

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=16

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54763570205831213.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54794800542729113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.547948005427291 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=17

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.547948005427291[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=17

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=17

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54794800542729113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54826030879627113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.548260308796271 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=18

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.548260308796271[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=18

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=18

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54826030879627113.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.5485726121652513.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.54857261216525 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=19

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.54857261216525[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=19

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=19

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.5485726121652513.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54888491553422913.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.548884915534229 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=20

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.548884915534229[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=20

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=20

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54888491553422913.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54919721890320813.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.547948005427291 & 13.6320507003372 \tabularnewline
Epanechnikov & 0.547323398689333 & 13.1261506972416 \tabularnewline
Rectangular & 0.549197218903208 & 13.1366152175715 \tabularnewline
Triangular & 0.549821825641166 & 13.5665422214945 \tabularnewline
Biweight & 0.547323398689333 & 13.2580232302016 \tabularnewline
Cosine & 0.547323398689333 & 13.3058338073512 \tabularnewline
Optcosine & 0.547323398689333 & 13.1527734937226 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172159&T=21

[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]0.547948005427291[/C][C]13.6320507003372[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.547323398689333[/C][C]13.1261506972416[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.549197218903208[/C][C]13.1366152175715[/C][/ROW]
[ROW][C]Triangular[/C][C]0.549821825641166[/C][C]13.5665422214945[/C][/ROW]
[ROW][C]Biweight[/C][C]0.547323398689333[/C][C]13.2580232302016[/C][/ROW]
[ROW][C]Cosine[/C][C]0.547323398689333[/C][C]13.3058338073512[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.547323398689333[/C][C]13.1527734937226[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172159&T=21

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172159&T=21

As an alternative you can also use a QR Code:  
QR Code


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian0.54794800542729113.6320507003372
Epanechnikov0.54732339868933313.1261506972416
Rectangular0.54919721890320813.1366152175715
Triangular0.54982182564116613.5665422214945
Biweight0.54732339868933313.2580232302016
Cosine0.54732339868933313.3058338073512
Optcosine0.54732339868933313.1527734937226


Figures (Output of Computation)

Input Parameters & R Code

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')
}