## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationThu, 27 Dec 2012 06:26:44 -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/27/t1356607721zyklb12k7ksg7o3.htm/, Retrieved Tue, 07 Feb 2023 17:28:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204758, Retrieved Tue, 07 Feb 2023 17:28:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [Maximum te willen...] [2012-12-27 11:26:44] [5ebf8d45d440e2351c3182f635b9c69f] [Current]
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Dataseries X:
20
25
15
15
25
25
25
21
30
25
20
40
13
30
25
20
25
20
25
20
20
15
15
12
20
5
20
15
25
22
20
22
25
20
20
35
30
25
20
20
20
25
25
15
20
35
25
25
30
23
10
22
25
25
22
30
20
25
25
22
25
25
25
22
25
12
18
20
20
22
30
25
22
20
50
30
25
20
30
22
25
30
22
25
22
22
25
25
25
20
22
15
20
30
20
25
30
35
22
12
30
15
10
30
9
25
20
20
35
25
35
30
12
25
15
25
25
20
20
6
15
40
20
40
25
25
20
15
15
22
24
22
20
25
25
25
35
40
20
22
22
20
25
25
18
25
20
25
30
20
22
35
22
25
25
25
25
22
23
35
15
25
18
22
25
25
28
30
20
25
25
30
22
30
10
10
25
20
22
25
25
15
22
25
25
28
22
30
25
20
25
25
20
30
20
30
50
19
20
28
20
25
35
25
25
15
16
20
20
25
30
20
25
25
25
20
20
25
25
30
22
20
25
25
18
18
20
25
25
30
25
20
25
20
20
20
22
18
22
20
15
25
25
20
25
15
22
25
25
15
12
25
30
22
15
22
25
12
18
30
25
25
40
24
25
15
25
20
25
25
25
20
30
20
25
30
22
25
25
25
50
19
50
25
35
20
20
20
20
20
25
25
25
20
20
20
20
25
18
25
22
22
30
30
8
20
25
30
50
22
20
10
25
25
25
25
18
25
20
25
30
18
20
25
22
22
20
20
25
20
20
20
20
25
20
10
20
25
30
25
50
30
30
50
15
25
25
22
20
22
30
25
18
22
22
30
40
25
20
10
20
9
15
20
15
20
30
12
15
12
20
15
12
25
20
25
25
25
30
20
25
15
15
22
10
15
10
20
25
20
20
38
20
20
20
40
25
25
30
25
10
20
25
12
15
25
20
22
22
20
25
25
25
15
40
20
20
16
25
15
20
25
20
30
50
20
25
20
30
30
25
25
12
25
25
25
20
20
20
15
20
25
15
25
50
30
20
20
25
12
15
20
20
35
22
15
18
30
22
12
12
20
20
15
25
15
20
20
25
18
30
20
25
25
25
20
20
25
20
22
15
15
22
20
10
25
20
20
15
12
20
5
20
15
15
25
25
25
15
25
22
25
20
18
22
25
35
25
25
25
35
30
22
30
50
15
25
24
20
25
25
25
12
15
22
25
25
25
25
15
20
20
15
35
30
20
22
65
20
25
22
20
25
25
20
25
15
20
12
15
10
25
15
30
35
25
25
25
25
25
40
40
25
25
20
25
25
22
25
30
25
25
30
25
25
30
25
25
20
22
22
20
25
22
25
22
40
25
25
25
22
20
35
20
35
25
22
25
25
25
25
25
40
25
30
25
20
25
25
30
22
22
20
15
15
25
25
20
20
15
25
15
20
22
25
15
15
18
5
15
25
18
40
25
25
20
30
20
25
25
25
22
22
25
25
30
25
25
25
25
20
20
25
25
25
25
20
30
25
22
30
20
20
30
25
25
30
20
25
25
24
25
30
18
15
22
22
25
22
22
25
15
20
22
18
35
20
20
20
25
25
30
15
25
22
26
25
20
25
25
25
22
25
25
20
22
30
15
30
25
20
25
25
35
22
20
25
20
20
18
20
22
25
10
20
25
20
20
30
25
20
15
20
25
10
20
25
22
22
25
25
15
25
20
10
25
16
25
35
25
15
25
25
30
25
10
22
20
25
20
20
25
22
18
30
19
25
20
25
20
25
20
22
12
30
12
22
25
25
25
25
30
30
10
22
22
25
20
22
20
25
20
15
25
20
25
20
30
15
40
25
20
22
22
30
20
40
20
25
20
25
20
50
50
25
25
40
30
22
30
20
25
25
30
25
25
20
18
18
28
25
22
15
40
40
12
12
18
12
25
26
18
25
22
15
25
15
15
15
25
15
12
22
20
20
25
20
12
9
15
12
15
25
20
20
15
15
30
21
25
22
22
50
15
25
15
25
22
18
50
20
50
20
20
30
25
20
22
25
50
40
25
25
25
25
30
40
25
30
20

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 6 seconds R Server 'Sir Ronald Aylmer Fisher' @ fisher.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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=0

As an alternative you can also use a QR Code:

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

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 6 seconds R Server 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

 Properties of Density Trace Bandwidth 0.861507799335009 #Observations 900

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 0.861507799335009 \tabularnewline
#Observations & 900 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]0.861507799335009[/C][/ROW]
[ROW][C]#Observations[/C][C]900[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=1

As an alternative you can also use a QR Code:

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

 Properties of Density Trace Bandwidth 0.861507799335009 #Observations 900

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 23.7133842633133 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 24.9887080753683 & 0.153089614970101 \tabularnewline
Epanechnikov & 24.9887080753683 & 0.129617048372393 \tabularnewline
Rectangular & 23.7133842633133 & 0.112438384468263 \tabularnewline
Triangular & 24.9887080753683 & 0.152396023765911 \tabularnewline
Biweight & 24.9887080753683 & 0.136607758061838 \tabularnewline
Cosine & 24.9887080753683 & 0.139238159678916 \tabularnewline
Optcosine & 24.9887080753683 & 0.131971573385163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]24.9887080753683[/C][C]0.153089614970101[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]24.9887080753683[/C][C]0.129617048372393[/C][/ROW]
[ROW][C]Rectangular[/C][C]23.7133842633133[/C][C]0.112438384468263[/C][/ROW]
[ROW][C]Triangular[/C][C]24.9887080753683[/C][C]0.152396023765911[/C][/ROW]
[ROW][C]Biweight[/C][C]24.9887080753683[/C][C]0.136607758061838[/C][/ROW]
[ROW][C]Cosine[/C][C]24.9887080753683[/C][C]0.139238159678916[/C][/ROW]
[ROW][C]Optcosine[/C][C]24.9887080753683[/C][C]0.131971573385163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=2

As an alternative you can also use a QR Code:

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

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 23.7133842633133 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 23.9684490257243 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 24.9887080753683 & 0.153089614970101 \tabularnewline
Epanechnikov & 24.9887080753683 & 0.129617048372393 \tabularnewline
Rectangular & 23.9684490257243 & 0.112438384468263 \tabularnewline
Triangular & 24.9887080753683 & 0.152396023765911 \tabularnewline
Biweight & 24.9887080753683 & 0.136607758061838 \tabularnewline
Cosine & 24.9887080753683 & 0.139238159678916 \tabularnewline
Optcosine & 24.9887080753683 & 0.131971573385163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]24.9887080753683[/C][C]0.153089614970101[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]24.9887080753683[/C][C]0.129617048372393[/C][/ROW]
[ROW][C]Rectangular[/C][C]23.9684490257243[/C][C]0.112438384468263[/C][/ROW]
[ROW][C]Triangular[/C][C]24.9887080753683[/C][C]0.152396023765911[/C][/ROW]
[ROW][C]Biweight[/C][C]24.9887080753683[/C][C]0.136607758061838[/C][/ROW]
[ROW][C]Cosine[/C][C]24.9887080753683[/C][C]0.139238159678916[/C][/ROW]
[ROW][C]Optcosine[/C][C]24.9887080753683[/C][C]0.131971573385163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=3

As an alternative you can also use a QR Code:

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

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 23.9684490257243 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.0959814069298 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 24.9887080753683 & 0.153089614970101 \tabularnewline
Epanechnikov & 24.9887080753683 & 0.129617048372393 \tabularnewline
Rectangular & 24.0959814069298 & 0.112438384468263 \tabularnewline
Triangular & 24.9887080753683 & 0.152396023765911 \tabularnewline
Biweight & 24.9887080753683 & 0.136607758061838 \tabularnewline
Cosine & 24.9887080753683 & 0.139238159678916 \tabularnewline
Optcosine & 24.9887080753683 & 0.131971573385163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]24.9887080753683[/C][C]0.153089614970101[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]24.9887080753683[/C][C]0.129617048372393[/C][/ROW]
[ROW][C]Rectangular[/C][C]24.0959814069298[/C][C]0.112438384468263[/C][/ROW]
[ROW][C]Triangular[/C][C]24.9887080753683[/C][C]0.152396023765911[/C][/ROW]
[ROW][C]Biweight[/C][C]24.9887080753683[/C][C]0.136607758061838[/C][/ROW]
[ROW][C]Cosine[/C][C]24.9887080753683[/C][C]0.139238159678916[/C][/ROW]
[ROW][C]Optcosine[/C][C]24.9887080753683[/C][C]0.131971573385163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=4

As an alternative you can also use a QR Code:

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

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.0959814069298 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.2235137881353 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 24.9887080753683 & 0.153089614970101 \tabularnewline
Epanechnikov & 24.9887080753683 & 0.129617048372393 \tabularnewline
Rectangular & 24.2235137881353 & 0.112438384468263 \tabularnewline
Triangular & 24.9887080753683 & 0.152396023765911 \tabularnewline
Biweight & 24.9887080753683 & 0.136607758061838 \tabularnewline
Cosine & 24.9887080753683 & 0.139238159678916 \tabularnewline
Optcosine & 24.9887080753683 & 0.131971573385163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]24.9887080753683[/C][C]0.153089614970101[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]24.9887080753683[/C][C]0.129617048372393[/C][/ROW]
[ROW][C]Rectangular[/C][C]24.2235137881353[/C][C]0.112438384468263[/C][/ROW]
[ROW][C]Triangular[/C][C]24.9887080753683[/C][C]0.152396023765911[/C][/ROW]
[ROW][C]Biweight[/C][C]24.9887080753683[/C][C]0.136607758061838[/C][/ROW]
[ROW][C]Cosine[/C][C]24.9887080753683[/C][C]0.139238159678916[/C][/ROW]
[ROW][C]Optcosine[/C][C]24.9887080753683[/C][C]0.131971573385163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=5

As an alternative you can also use a QR Code:

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

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.2235137881353 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.3510461693408 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 24.9887080753683 & 0.153089614970101 \tabularnewline
Epanechnikov & 24.9887080753683 & 0.129617048372393 \tabularnewline
Rectangular & 24.3510461693408 & 0.112438384468263 \tabularnewline
Triangular & 24.9887080753683 & 0.152396023765911 \tabularnewline
Biweight & 24.9887080753683 & 0.136607758061838 \tabularnewline
Cosine & 24.9887080753683 & 0.139238159678916 \tabularnewline
Optcosine & 24.9887080753683 & 0.131971573385163 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204758&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]24.9887080753683[/C][C]0.153089614970101[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]24.9887080753683[/C][C]0.129617048372393[/C][/ROW]
[ROW][C]Rectangular[/C][C]24.3510461693408[/C][C]0.112438384468263[/C][/ROW]
[ROW][C]Triangular[/C][C]24.9887080753683[/C][C]0.152396023765911[/C][/ROW]
[ROW][C]Biweight[/C][C]24.9887080753683[/C][C]0.136607758061838[/C][/ROW]
[ROW][C]Cosine[/C][C]24.9887080753683[/C][C]0.139238159678916[/C][/ROW]
[ROW][C]Optcosine[/C][C]24.9887080753683[/C][C]0.131971573385163[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204758&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204758&T=6

As an alternative you can also use a QR Code:

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

 Maximum Density Values Kernel x-value max. density Gaussian 24.9887080753683 0.153089614970101 Epanechnikov 24.9887080753683 0.129617048372393 Rectangular 24.3510461693408 0.112438384468263 Triangular 24.9887080753683 0.152396023765911 Biweight 24.9887080753683 0.136607758061838 Cosine 24.9887080753683 0.139238159678916 Optcosine 24.9887080753683 0.131971573385163

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()mydensity1bitmap(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')}