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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationTue, 11 Dec 2012 13:35:10 -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/2012/Dec/11/t1355251364t4t7q7yqm22fhw4.htm/, Retrieved Thu, 28 Mar 2024 09:40:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198620, Retrieved Thu, 28 Mar 2024 09:40:53 +0000
QR Codes:

Original text written by user:target conc. 0.15%
IsPrivate?No (this computation is public)
User-defined keywordsForensic alcohol analysis (FAA) Proficiency testing Crime Labs in California USA blood pool November 2012, CDPH ASAS
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kernel Density Estimation] [CDPH pool 10082 G...] [2012-12-06 23:35:16] [74be16979710d4c4e7c6647856088456]
- R PD    [Kernel Density Estimation] [CDPH pool 10082 G...] [2012-12-11 18:35:10] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0.133
0.137
0.141
0.144
0.144
0.145
0.145
0.146
0.146
0.146
0.146
0.147
0.147
0.147
0.147
0.148
0.148
0.149
0.149
0.150
0.150
0.150
0.151
0.151
0.151
0.151
0.151
0.151
0.151
0.152
0.152
0.152
0.162
0.163
0.164
0.165




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time10 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 & 10 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]10 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=198620&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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 time10 seconds
R Server'George Udny Yule' @ yule.wessa.net







Properties of Density Trace
Bandwidth0.00279
#Observations36

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.00279 \tabularnewline
#Observations & 36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.00279[/C][/ROW]
[ROW][C]#Observations[/C][C]36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Bandwidth0.00279
#Observations36







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14742620352250583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147426203522505 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147426203522505[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14742620352250583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14752158512720283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147521585127202 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147521585127202[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14752158512720283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14761696673189883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147616966731898 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147616966731898[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14761696673189883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14771234833659583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147712348336595 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147712348336595[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14771234833659583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14780772994129283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147807729941292 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147807729941292[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14780772994129283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14790311154598883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147903111545988 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147903111545988[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14790311154598883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14799849315068583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.147998493150685 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.147998493150685[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14799849315068583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14809387475538283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148093874755382 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148093874755382[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14809387475538283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14818925636007883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148189256360078 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148189256360078[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14818925636007883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14828463796477583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148284637964775 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148284637964775[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14828463796477583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14838001956947283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148380019569472 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148380019569472[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=12

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14838001956947283.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14847540117416883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148475401174168 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148475401174168[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=13

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14847540117416883.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629







Maximum Density Values
Kernelx-valuemax. density
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14857078277886583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.148856927592955 & 80.5319484996541 \tabularnewline
Epanechnikov & 0.148475401174168 & 80.7881805604859 \tabularnewline
Rectangular & 0.148570782778865 & 83.3490531984227 \tabularnewline
Triangular & 0.148952309197652 & 78.6036366333471 \tabularnewline
Biweight & 0.148666164383562 & 80.5382020215211 \tabularnewline
Cosine & 0.148666164383562 & 80.4328129926402 \tabularnewline
Optcosine & 0.148570782778865 & 80.6000540914629 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198620&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]0.148856927592955[/C][C]80.5319484996541[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]0.148475401174168[/C][C]80.7881805604859[/C][/ROW]
[ROW][C]Rectangular[/C][C]0.148570782778865[/C][C]83.3490531984227[/C][/ROW]
[ROW][C]Triangular[/C][C]0.148952309197652[/C][C]78.6036366333471[/C][/ROW]
[ROW][C]Biweight[/C][C]0.148666164383562[/C][C]80.5382020215211[/C][/ROW]
[ROW][C]Cosine[/C][C]0.148666164383562[/C][C]80.4328129926402[/C][/ROW]
[ROW][C]Optcosine[/C][C]0.148570782778865[/C][C]80.6000540914629[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198620&T=14

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198620&T=14

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
Gaussian0.14885692759295580.5319484996541
Epanechnikov0.14847540117416880.7881805604859
Rectangular0.14857078277886583.3490531984227
Triangular0.14895230919765278.6036366333471
Biweight0.14866616438356280.5382020215211
Cosine0.14866616438356280.4328129926402
Optcosine0.14857078277886580.6000540914629



Parameters (Session):
par1 = 0.00279 ; par2 = no ; par3 = 512 ;
Parameters (R input):
par1 = 0.00279 ; 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')
}