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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationSun, 16 Aug 2015 16:44:19 +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/2015/Aug/16/t1439739909gjfcjuas55j88l9.htm/, Retrieved Sun, 19 May 2024 14:38:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280170, Retrieved Sun, 19 May 2024 14:38:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [] [2014-09-29 16:04:03] [46d78fa4bef23992fc20db72a2a0da97]
- RMPD    [Kernel Density Estimation] [] [2015-08-16 15:44:19] [fced41568b3cc41e6659ad201d611503] [Current]
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Dataseries X:
95320,00
94965,00
94605,00
93860,00
101230,00
100840,00
95320,00
91650,00
92005,00
92005,00
92400,00
93110,00
94215,00
94215,00
93505,00
91650,00
101230,00
102690,00
100485,00
95320,00
97530,00
94215,00
95710,00
96425,00
97170,00
95320,00
95710,00
93110,00
101230,00
103795,00
101590,00
97530,00
101945,00
97170,00
101590,00
101230,00
102335,00
98275,00
102690,00
102335,00
108960,00
107465,00
101590,00
98630,00
102690,00
97170,00
101230,00
101945,00
103440,00
100130,00
101945,00
103050,00
107110,00
103795,00
99380,00
94605,00
99025,00
86875,00
92755,00
96065,00
99380,00
94605,00
94605,00
94605,00
97170,00
93505,00
88695,00
84670,00
87590,00
76190,00
83175,00
87235,00
87980,00
83920,00
84275,00
83175,00
86875,00
84275,00
79150,00
75445,00
81710,00
68105,00
76940,00
80965,00
80965,00
76190,00
71775,00
71420,00
75445,00
71775,00
64795,00
59985,00
65150,00
53005,00
64045,00
69920,00
71775,00
67715,00
62585,00
66255,00
67715,00
66610,00
55565,00
50440,00
54105,00
43065,00
54465,00
58525,00
61835,00
56315,00
51150,00
54105,00
55565,00
52645,00
41605,00
36795,00
41210,00
29065,00
42315,00
50440,00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280170&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280170&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280170&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.wessa.net







Properties of Density Trace
Bandwidth6551.3365196891
#Observations120

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 6551.3365196891 \tabularnewline
#Observations & 120 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280170&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]6551.3365196891[/C][/ROW]
[ROW][C]#Observations[/C][C]120[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280170&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280170&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
Bandwidth6551.3365196891
#Observations120







Maximum Density Values
Kernelx-valuemax. density
Gaussian96888.74419690232.88902162076971e-05
Epanechnikov95955.64815683872.73602267559595e-05
Rectangular92689.81201661582.74886548301124e-05
Triangular95722.37414682272.81059363818955e-05
Biweight96422.19617687052.78091195976135e-05
Cosine96655.47018688642.79719695797644e-05
Optcosine96188.92216685462.74913143654018e-05

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 96888.7441969023 & 2.88902162076971e-05 \tabularnewline
Epanechnikov & 95955.6481568387 & 2.73602267559595e-05 \tabularnewline
Rectangular & 92689.8120166158 & 2.74886548301124e-05 \tabularnewline
Triangular & 95722.3741468227 & 2.81059363818955e-05 \tabularnewline
Biweight & 96422.1961768705 & 2.78091195976135e-05 \tabularnewline
Cosine & 96655.4701868864 & 2.79719695797644e-05 \tabularnewline
Optcosine & 96188.9221668546 & 2.74913143654018e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280170&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]96888.7441969023[/C][C]2.88902162076971e-05[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]95955.6481568387[/C][C]2.73602267559595e-05[/C][/ROW]
[ROW][C]Rectangular[/C][C]92689.8120166158[/C][C]2.74886548301124e-05[/C][/ROW]
[ROW][C]Triangular[/C][C]95722.3741468227[/C][C]2.81059363818955e-05[/C][/ROW]
[ROW][C]Biweight[/C][C]96422.1961768705[/C][C]2.78091195976135e-05[/C][/ROW]
[ROW][C]Cosine[/C][C]96655.4701868864[/C][C]2.79719695797644e-05[/C][/ROW]
[ROW][C]Optcosine[/C][C]96188.9221668546[/C][C]2.74913143654018e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280170&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280170&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
Kernelx-valuemax. density
Gaussian96888.74419690232.88902162076971e-05
Epanechnikov95955.64815683872.73602267559595e-05
Rectangular92689.81201661582.74886548301124e-05
Triangular95722.37414682272.81059363818955e-05
Biweight96422.19617687052.78091195976135e-05
Cosine96655.47018688642.79719695797644e-05
Optcosine96188.92216685462.74913143654018e-05



Parameters (Session):
par1 = 4 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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')
}