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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 computationThu, 27 Sep 2012 06:38:00 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Sep/27/t1348742409mvdnzceqtp24pg5.htm/, Retrieved Mon, 29 Apr 2024 09:42:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=170030, Retrieved Mon, 29 Apr 2024 09:42:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Gem consumptiepri...] [2012-09-24 08:10:27] [414c2ec381eb4adb801f9ac6823317d8]
- RMPD    [Kernel Density Estimation] [Gem consumptiepri...] [2012-09-27 10:38:00] [a5163a6b16cb463ddc5e8265592a0086] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
299.81
299.01
296.82
296.67
296.95
296.80
296.80
295.93
293.77
291.02
288.61
284.55
284.55
278.14
273.28
270.14
268.36
267.15
267.15
265.47
261.75
256.51
252.98
251.17
251.17
244.27
240.54
238.92
237.47
235.91
235.91
231.41
224.94
222.19
219.06
217.83
217.83
216.89
213.84
212.90
213.98
215.31
215.31
214.09
213.71
211.54
209.40
207.33
207.33
202.75
200.26
198.99
198.82
198.43
198.43
195.68
195.45
193.65
191.38
189.71
189.71
185.49
183.01
182.38
181.60
182.13
182.13
180.81
180.25
179.84
178.50
178.11

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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'Sir Maurice George Kendall' @ kendall.wessa.net






Properties of Density Trace
Bandwidth15.2418456648587
#Observations72

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 15.2418456648587 \tabularnewline
#Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]15.2418456648587[/C][/ROW]
[ROW][C]#Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Bandwidth15.2418456648587
#Observations72






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular199.5416507006360.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 199.541650700636 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]199.541650700636[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular199.5416507006360.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular199.9587760900470.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 199.958776090047 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]199.958776090047[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular199.9587760900470.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular200.3759014794590.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 200.375901479459 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]200.375901479459[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular200.3759014794590.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular200.793026868870.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 200.79302686887 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]200.79302686887[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular200.793026868870.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular201.2101522582810.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 201.210152258281 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]201.210152258281[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular201.2101522582810.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular201.6272776476920.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 201.627277647692 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]201.627277647692[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=7

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular201.6272776476920.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.0444030371040.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 202.044403037104 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]202.044403037104[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=8

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.0444030371040.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.4615284265150.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 202.461528426515 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]202.461528426515[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=9

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.4615284265150.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.8786538159260.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 202.878653815926 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]202.878653815926[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=10

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular202.8786538159260.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular203.2957792053380.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 203.295779205338 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]203.295779205338[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=11

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&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
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular203.2957792053380.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831






Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular203.7129045947490.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 203.295779205338 & 0.0100052106132456 \tabularnewline
Epanechnikov & 200.79302686887 & 0.0100684194885146 \tabularnewline
Rectangular & 203.712904594749 & 0.0105220245829318 \tabularnewline
Triangular & 207.049907710039 & 0.00988641729303387 \tabularnewline
Biweight & 202.461528426515 & 0.0100492231389307 \tabularnewline
Cosine & 202.461528426515 & 0.0100364597353098 \tabularnewline
Optcosine & 202.461528426515 & 0.0100474977463831 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170030&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]203.295779205338[/C][C]0.0100052106132456[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]200.79302686887[/C][C]0.0100684194885146[/C][/ROW]
[ROW][C]Rectangular[/C][C]203.712904594749[/C][C]0.0105220245829318[/C][/ROW]
[ROW][C]Triangular[/C][C]207.049907710039[/C][C]0.00988641729303387[/C][/ROW]
[ROW][C]Biweight[/C][C]202.461528426515[/C][C]0.0100492231389307[/C][/ROW]
[ROW][C]Cosine[/C][C]202.461528426515[/C][C]0.0100364597353098[/C][/ROW]
[ROW][C]Optcosine[/C][C]202.461528426515[/C][C]0.0100474977463831[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170030&T=12

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170030&T=12

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


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

Maximum Density Values
Kernelx-valuemax. density
Gaussian203.2957792053380.0100052106132456
Epanechnikov200.793026868870.0100684194885146
Rectangular203.7129045947490.0105220245829318
Triangular207.0499077100390.00988641729303387
Biweight202.4615284265150.0100492231389307
Cosine202.4615284265150.0100364597353098
Optcosine202.4615284265150.0100474977463831


Figures (Output of Computation)

Input Parameters & R Code

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