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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, 27 Sep 2013 04:06:47 -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/2013/Sep/27/t13802692474dt8t2o1da0myou.htm/, Retrieved Fri, 03 May 2024 14:27:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=212204, Retrieved Fri, 03 May 2024 14:27:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132

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] [] [2013-09-27 08:06:47] [d7aee701571668449ffc3c4d70a8a545] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6
6
5
5
3
5
5
5
3
6
6
4
6
5
4
5
5
4
3
2
3
2
-1
0
-2
1
-2
-2
-2
-6
-4
-2
0
-5
-4
-5
-1
-2
-4
-1
1
1
-2
1
1
3
3
1
1
0
2
2
-1
1
0
1
1
3
2
0
0
3
-2
0
1
-1
-2
-1
-1
1
-2
-5
-5
-6
-4
-3
-3
-1
-2
-3
-3
-3
-5
-5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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 time5 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Properties of Density Trace
Bandwidth1
#Observations84

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 1 \tabularnewline
#Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]1[/C][/ROW]
[ROW][C]#Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Bandwidth1
#Observations84






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6868884540117420.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.686888454011742 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.686888454011742[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6868884540117420.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6516634050880630.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.651663405088063 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.651663405088063[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6516634050880630.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6164383561643840.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.616438356164384 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.616438356164384[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.6164383561643840.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5812133072407050.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.581213307240705 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.581213307240705[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5812133072407050.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5459882583170250.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.545988258317025 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.545988258317025[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5459882583170250.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5107632093933460.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.510763209393346 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.510763209393346[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.5107632093933460.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.4050880626223090.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.405088062622309 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.405088062622309[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.4050880626223090.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.369863013698630.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.36986301369863 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.36986301369863[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.369863013698630.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.3346379647749510.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.334637964774951 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.334637964774951[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.3346379647749510.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858






Maximum Density Values
Kernelx-valuemax. density
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.2994129158512720.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 0.616438356164384 & 0.103933745794083 \tabularnewline
Epanechnikov & -0.475538160469667 & 0.107495886134768 \tabularnewline
Rectangular & -0.299412915851272 & 0.130591132316701 \tabularnewline
Triangular & 1.00391389432485 & 0.10679263442217 \tabularnewline
Biweight & -0.228962818003914 & 0.104491717167881 \tabularnewline
Cosine & -0.158512720156556 & 0.103821550745384 \tabularnewline
Optcosine & -0.475538160469667 & 0.106144685109858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212204&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]0.616438356164384[/C][C]0.103933745794083[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]-0.475538160469667[/C][C]0.107495886134768[/C][/ROW]
[ROW][C]Rectangular[/C][C]-0.299412915851272[/C][C]0.130591132316701[/C][/ROW]
[ROW][C]Triangular[/C][C]1.00391389432485[/C][C]0.10679263442217[/C][/ROW]
[ROW][C]Biweight[/C][C]-0.228962818003914[/C][C]0.104491717167881[/C][/ROW]
[ROW][C]Cosine[/C][C]-0.158512720156556[/C][C]0.103821550745384[/C][/ROW]
[ROW][C]Optcosine[/C][C]-0.475538160469667[/C][C]0.106144685109858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212204&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212204&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
Gaussian0.6164383561643840.103933745794083
Epanechnikov-0.4755381604696670.107495886134768
Rectangular-0.2994129158512720.130591132316701
Triangular1.003913894324850.10679263442217
Biweight-0.2289628180039140.104491717167881
Cosine-0.1585127201565560.103821550745384
Optcosine-0.4755381604696670.106144685109858


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 10 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 1 ; par2 = no ; par3 = 512 ;
R code (references can be found in the software module):
par3 <- '512'
par2 <- 'no'
par1 <- '1'
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')
}