FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationTue, 05 Aug 2014 09:39:18 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Aug/05/t1407228030c6349c6dbiap09o.htm/, Retrieved Thu, 16 May 2024 23:09:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235402, Retrieved Thu, 16 May 2024 23:09:20 +0000
QR Codes:

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

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Tijdreeks 1 - Stap 3] [2014-08-03 19:11:32] [ae3d1feb555b13e324db089723206180]
- R P   [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:44:37] [74be16979710d4c4e7c6647856088456]
-   P     [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:47:49] [74be16979710d4c4e7c6647856088456]
- RMP       [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-04 16:49:46] [ae3d1feb555b13e324db089723206180]
- R P         [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-05 08:15:03] [74be16979710d4c4e7c6647856088456]
- RMPD            [Kernel Density Estimation] [Tijdreeks 2 - Stap 4] [2014-08-05 08:39:18] [188bf81caccb86647293be436f272d1b] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
340
307
380
347
313
333
347
333
387
307
353
407
307
253
380
320
353
353
387
280
387
307
347
427
253
240
407
293
347
360
387
240
333
353
313
440
273
240
407
240
360
373
387
320
373
373
260
420
253
293
413
207
333
440
280
367
380
373
193
373
213
293
407
167
340
447
233
393
333
353
200
413
187
300
413
213
373
453
247
447
340
320
187
380
160
307
400
213
380
453
260
467
380
300
180
427
153
327
393
207
380
440
247
400
360
340
220
393

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235402&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]3 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=235402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235402&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Properties of Density Trace
Bandwidth27.0514205811258
#Observations108

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 27.0514205811258 \tabularnewline
#Observations & 108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235402&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]27.0514205811258[/C][/ROW]
[ROW][C]#Observations[/C][C]108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235402&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
Bandwidth27.0514205811258
#Observations108






Maximum Density Values
Kernelx-valuemax. density
Gaussian367.3248027288360.00534488657415771
Epanechnikov361.7321390479740.00530803927355206
Rectangular352.4110329132040.00535267459924472
Triangular369.189023955790.00526186871705955
Biweight363.5963602749280.00531395287218075
Cosine363.5963602749280.00531674798280551
Optcosine360.8000284344970.00530962145101092

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 367.324802728836 & 0.00534488657415771 \tabularnewline
Epanechnikov & 361.732139047974 & 0.00530803927355206 \tabularnewline
Rectangular & 352.411032913204 & 0.00535267459924472 \tabularnewline
Triangular & 369.18902395579 & 0.00526186871705955 \tabularnewline
Biweight & 363.596360274928 & 0.00531395287218075 \tabularnewline
Cosine & 363.596360274928 & 0.00531674798280551 \tabularnewline
Optcosine & 360.800028434497 & 0.00530962145101092 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235402&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]367.324802728836[/C][C]0.00534488657415771[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]361.732139047974[/C][C]0.00530803927355206[/C][/ROW]
[ROW][C]Rectangular[/C][C]352.411032913204[/C][C]0.00535267459924472[/C][/ROW]
[ROW][C]Triangular[/C][C]369.18902395579[/C][C]0.00526186871705955[/C][/ROW]
[ROW][C]Biweight[/C][C]363.596360274928[/C][C]0.00531395287218075[/C][/ROW]
[ROW][C]Cosine[/C][C]363.596360274928[/C][C]0.00531674798280551[/C][/ROW]
[ROW][C]Optcosine[/C][C]360.800028434497[/C][C]0.00530962145101092[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235402&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235402&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
Gaussian367.3248027288360.00534488657415771
Epanechnikov361.7321390479740.00530803927355206
Rectangular352.4110329132040.00535267459924472
Triangular369.189023955790.00526186871705955
Biweight363.5963602749280.00531395287218075
Cosine363.5963602749280.00531674798280551
Optcosine360.8000284344970.00530962145101092






Maximum Density Values
Kernelx-valuemax. density
Gaussian367.3248027288360.00534488657415771
Epanechnikov361.7321390479740.00530803927355206
Rectangular352.4110329132040.00535267459924472
Triangular370.1211345692670.00526186871705955
Biweight363.5963602749280.00531395287218075
Cosine363.5963602749280.00531674798280551
Optcosine360.8000284344970.00530962145101092

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 367.324802728836 & 0.00534488657415771 \tabularnewline
Epanechnikov & 361.732139047974 & 0.00530803927355206 \tabularnewline
Rectangular & 352.411032913204 & 0.00535267459924472 \tabularnewline
Triangular & 370.121134569267 & 0.00526186871705955 \tabularnewline
Biweight & 363.596360274928 & 0.00531395287218075 \tabularnewline
Cosine & 363.596360274928 & 0.00531674798280551 \tabularnewline
Optcosine & 360.800028434497 & 0.00530962145101092 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235402&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]367.324802728836[/C][C]0.00534488657415771[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]361.732139047974[/C][C]0.00530803927355206[/C][/ROW]
[ROW][C]Rectangular[/C][C]352.411032913204[/C][C]0.00535267459924472[/C][/ROW]
[ROW][C]Triangular[/C][C]370.121134569267[/C][C]0.00526186871705955[/C][/ROW]
[ROW][C]Biweight[/C][C]363.596360274928[/C][C]0.00531395287218075[/C][/ROW]
[ROW][C]Cosine[/C][C]363.596360274928[/C][C]0.00531674798280551[/C][/ROW]
[ROW][C]Optcosine[/C][C]360.800028434497[/C][C]0.00530962145101092[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235402&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235402&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
Gaussian367.3248027288360.00534488657415771
Epanechnikov361.7321390479740.00530803927355206
Rectangular352.4110329132040.00535267459924472
Triangular370.1211345692670.00526186871705955
Biweight363.5963602749280.00531395287218075
Cosine363.5963602749280.00531674798280551
Optcosine360.8000284344970.00530962145101092


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')
}