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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 computationMon, 12 Aug 2013 12:02:09 -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/Aug/12/t1376323367izz0wjlc2cy1bag.htm/, Retrieved Sun, 28 Apr 2024 05:19:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211051, Retrieved Sun, 28 Apr 2024 05:19:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsAnthony Van Dyck
Estimated Impact136

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Tijdreeks 1 - stap 2] [2013-08-12 11:07:04] [c4bfab449d963e708b9482b0c0d301bf]
-   P   [Univariate Data Series] [Tijdreeks A - Stap 2] [2013-08-12 11:17:51] [fffbdc2eb6bf36a612a50d50ad291a0a]
- RMP     [Histogram] [Tijdreeks A - Stap 3] [2013-08-12 11:22:38] [fffbdc2eb6bf36a612a50d50ad291a0a]
- R P       [Histogram] [Tijdreeks A -stap 5] [2013-08-12 11:38:26] [c4bfab449d963e708b9482b0c0d301bf]
-   P         [Histogram] [Tijdreeks A -stap 5] [2013-08-12 11:42:06] [c4bfab449d963e708b9482b0c0d301bf]
- RMP           [Harrell-Davis Quantiles] [Tijdreeks A - sta...] [2013-08-12 12:35:57] [fffbdc2eb6bf36a612a50d50ad291a0a]
- R P             [Harrell-Davis Quantiles] [Tijdreeks A - sta...] [2013-08-12 12:48:29] [c4bfab449d963e708b9482b0c0d301bf]
- RMP               [(Partial) Autocorrelation Function] [Tijdreeks A - sta...] [2013-08-12 13:54:06] [fffbdc2eb6bf36a612a50d50ad291a0a]
- RM D                  [Kernel Density Estimation] [Tijdreeks B - stap 4] [2013-08-12 16:02:09] [c43b2753d6eee680db8e2d052715ef09] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1160
1220
1100
1030
1110
1160
1170
1090
1160
1210
1250
1200
1180
1210
950
1070
1120
1220
1170
1120
1180
1250
1240
1230
1120
1330
990
1110
1090
1210
1220
1220
1100
1200
1320
1180
1110
1300
1060
1130
1160
1260
1210
1190
1130
1170
1370
1170
1040
1340
1050
1130
1150
1220
1210
1150
1130
1150
1440
1160
1130
1350
1050
1150
1120
1170
1100
1120
1210
1170
1370
1170
1110
1320
1060
1150
1160
1230
1140
1100
1270
1160
1380
1150
1180
1370
1080
1160
1230
1210
1130
1110
1250
1210
1370
1080
1220
1360
1120
1150
1180
1250
1040
1180
1250
1120
1430
1150

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 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 & 8 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211051&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]8 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=211051&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211051&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 time8 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Properties of Density Trace
Bandwidth26.3301273699554
#Observations108

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 26.3301273699554 \tabularnewline
#Observations & 108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211051&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]26.3301273699554[/C][/ROW]
[ROW][C]#Observations[/C][C]108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211051&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211051&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
Bandwidth26.3301273699554
#Observations108






Maximum Density Values
Kernelx-valuemax. density
Gaussian1155.055980287820.00518480365965565
Epanechnikov1143.64340322720.00509741572171187
Rectangular1136.035018520120.00539994093419411
Triangular1160.128236759210.00520103572037697
Biweight1149.983723816440.0051090533468399
Cosine1152.519852052130.0051224236205621
Optcosine1144.911467345050.00508819033315057

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 1155.05598028782 & 0.00518480365965565 \tabularnewline
Epanechnikov & 1143.6434032272 & 0.00509741572171187 \tabularnewline
Rectangular & 1136.03501852012 & 0.00539994093419411 \tabularnewline
Triangular & 1160.12823675921 & 0.00520103572037697 \tabularnewline
Biweight & 1149.98372381644 & 0.0051090533468399 \tabularnewline
Cosine & 1152.51985205213 & 0.0051224236205621 \tabularnewline
Optcosine & 1144.91146734505 & 0.00508819033315057 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211051&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]1155.05598028782[/C][C]0.00518480365965565[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]1143.6434032272[/C][C]0.00509741572171187[/C][/ROW]
[ROW][C]Rectangular[/C][C]1136.03501852012[/C][C]0.00539994093419411[/C][/ROW]
[ROW][C]Triangular[/C][C]1160.12823675921[/C][C]0.00520103572037697[/C][/ROW]
[ROW][C]Biweight[/C][C]1149.98372381644[/C][C]0.0051090533468399[/C][/ROW]
[ROW][C]Cosine[/C][C]1152.51985205213[/C][C]0.0051224236205621[/C][/ROW]
[ROW][C]Optcosine[/C][C]1144.91146734505[/C][C]0.00508819033315057[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211051&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211051&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
Gaussian1155.055980287820.00518480365965565
Epanechnikov1143.64340322720.00509741572171187
Rectangular1136.035018520120.00539994093419411
Triangular1160.128236759210.00520103572037697
Biweight1149.983723816440.0051090533468399
Cosine1152.519852052130.0051224236205621
Optcosine1144.911467345050.00508819033315057


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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')
}