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Author's title

Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationThu, 04 Oct 2012 13:27:34 -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/Oct/04/t1349371717go4gw67gjvki727.htm/, Retrieved Mon, 29 Apr 2024 11:45:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=172039, Retrieved Mon, 29 Apr 2024 11:45:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [verkoop aantal pr...] [2012-10-04 12:22:48] [6e17e56f9bbdc65ea77b7e28bc808fc4]
- RMP   [Histogram] [aantal verkochte ...] [2012-10-04 16:43:50] [6e17e56f9bbdc65ea77b7e28bc808fc4]
- R       [Histogram] [aantal verkochte ...] [2012-10-04 17:12:27] [6e17e56f9bbdc65ea77b7e28bc808fc4]
- RM          [Kernel Density Estimation] [aantal verkochte ...] [2012-10-04 17:27:34] [32426a9b6b43a24d932e8bdfe421cad9] [Current]
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Dataseries X:
124275
58605
21828
42811
65963
128457
26867
143540
107458
258558
22475
294584
159848
289458
117950
78351
84589
44324
52285
185486
23846
13257
166999
148488
74747
55700
218584
187888
44788
18840
48787
69100
41892
90588
148574
50201
86828
102785
118844
145288
56790
287525
187880
87740
55258
58769
43366
77051
91574
15533
18425
65192
81059
73322
91261
86166
61842
25192
21059
15855
12618
101667
224275
55700
60748
41848
61781
120077
42032
46485
36861
55027
48999
68352
126987
86526
125340
69029
153287
135724
92108
119906
79798
97206




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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 time5 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Properties of Density Trace
Bandwidth20188.2527815507
#Observations84

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 20188.2527815507 \tabularnewline
#Observations & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]20188.2527815507[/C][/ROW]
[ROW][C]#Observations[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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
Bandwidth20188.2527815507
#Observations84







Maximum Density Values
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular69589.89916357957.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 59335.0230051431 & 8.01281923956639e-06 \tabularnewline
Epanechnikov & 55390.839867283 & 7.89988003230327e-06 \tabularnewline
Rectangular & 69589.8991635795 & 7.83049449542156e-06 \tabularnewline
Triangular & 56179.676494855 & 8.04174097384421e-06 \tabularnewline
Biweight & 58546.1863775711 & 7.9287371353306e-06 \tabularnewline
Cosine & 59335.0230051431 & 7.94162011726889e-06 \tabularnewline
Optcosine & 56968.5131224271 & 7.91272803324715e-06 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&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]59335.0230051431[/C][C]8.01281923956639e-06[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]55390.839867283[/C][C]7.89988003230327e-06[/C][/ROW]
[ROW][C]Rectangular[/C][C]69589.8991635795[/C][C]7.83049449542156e-06[/C][/ROW]
[ROW][C]Triangular[/C][C]56179.676494855[/C][C]8.04174097384421e-06[/C][/ROW]
[ROW][C]Biweight[/C][C]58546.1863775711[/C][C]7.9287371353306e-06[/C][/ROW]
[ROW][C]Cosine[/C][C]59335.0230051431[/C][C]7.94162011726889e-06[/C][/ROW]
[ROW][C]Optcosine[/C][C]56968.5131224271[/C][C]7.91272803324715e-06[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular69589.89916357957.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06







Maximum Density Values
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular73534.08230143967.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 59335.0230051431 & 8.01281923956639e-06 \tabularnewline
Epanechnikov & 55390.839867283 & 7.89988003230327e-06 \tabularnewline
Rectangular & 73534.0823014396 & 7.83049449542156e-06 \tabularnewline
Triangular & 56179.676494855 & 8.04174097384421e-06 \tabularnewline
Biweight & 58546.1863775711 & 7.9287371353306e-06 \tabularnewline
Cosine & 59335.0230051431 & 7.94162011726889e-06 \tabularnewline
Optcosine & 56968.5131224271 & 7.91272803324715e-06 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&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]59335.0230051431[/C][C]8.01281923956639e-06[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]55390.839867283[/C][C]7.89988003230327e-06[/C][/ROW]
[ROW][C]Rectangular[/C][C]73534.0823014396[/C][C]7.83049449542156e-06[/C][/ROW]
[ROW][C]Triangular[/C][C]56179.676494855[/C][C]8.04174097384421e-06[/C][/ROW]
[ROW][C]Biweight[/C][C]58546.1863775711[/C][C]7.9287371353306e-06[/C][/ROW]
[ROW][C]Cosine[/C][C]59335.0230051431[/C][C]7.94162011726889e-06[/C][/ROW]
[ROW][C]Optcosine[/C][C]56968.5131224271[/C][C]7.91272803324715e-06[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular73534.08230143967.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06







Maximum Density Values
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular74322.91892901167.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 59335.0230051431 & 8.01281923956639e-06 \tabularnewline
Epanechnikov & 55390.839867283 & 7.89988003230327e-06 \tabularnewline
Rectangular & 74322.9189290116 & 7.83049449542156e-06 \tabularnewline
Triangular & 56179.676494855 & 8.04174097384421e-06 \tabularnewline
Biweight & 58546.1863775711 & 7.9287371353306e-06 \tabularnewline
Cosine & 59335.0230051431 & 7.94162011726889e-06 \tabularnewline
Optcosine & 56968.5131224271 & 7.91272803324715e-06 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&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]59335.0230051431[/C][C]8.01281923956639e-06[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]55390.839867283[/C][C]7.89988003230327e-06[/C][/ROW]
[ROW][C]Rectangular[/C][C]74322.9189290116[/C][C]7.83049449542156e-06[/C][/ROW]
[ROW][C]Triangular[/C][C]56179.676494855[/C][C]8.04174097384421e-06[/C][/ROW]
[ROW][C]Biweight[/C][C]58546.1863775711[/C][C]7.9287371353306e-06[/C][/ROW]
[ROW][C]Cosine[/C][C]59335.0230051431[/C][C]7.94162011726889e-06[/C][/ROW]
[ROW][C]Optcosine[/C][C]56968.5131224271[/C][C]7.91272803324715e-06[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular74322.91892901167.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06







Maximum Density Values
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular75111.75555658367.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 59335.0230051431 & 8.01281923956639e-06 \tabularnewline
Epanechnikov & 55390.839867283 & 7.89988003230327e-06 \tabularnewline
Rectangular & 75111.7555565836 & 7.83049449542156e-06 \tabularnewline
Triangular & 56179.676494855 & 8.04174097384421e-06 \tabularnewline
Biweight & 58546.1863775711 & 7.9287371353306e-06 \tabularnewline
Cosine & 59335.0230051431 & 7.94162011726889e-06 \tabularnewline
Optcosine & 56968.5131224271 & 7.91272803324715e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172039&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]59335.0230051431[/C][C]8.01281923956639e-06[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]55390.839867283[/C][C]7.89988003230327e-06[/C][/ROW]
[ROW][C]Rectangular[/C][C]75111.7555565836[/C][C]7.83049449542156e-06[/C][/ROW]
[ROW][C]Triangular[/C][C]56179.676494855[/C][C]8.04174097384421e-06[/C][/ROW]
[ROW][C]Biweight[/C][C]58546.1863775711[/C][C]7.9287371353306e-06[/C][/ROW]
[ROW][C]Cosine[/C][C]59335.0230051431[/C][C]7.94162011726889e-06[/C][/ROW]
[ROW][C]Optcosine[/C][C]56968.5131224271[/C][C]7.91272803324715e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172039&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172039&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
Kernelx-valuemax. density
Gaussian59335.02300514318.01281923956639e-06
Epanechnikov55390.8398672837.89988003230327e-06
Rectangular75111.75555658367.83049449542156e-06
Triangular56179.6764948558.04174097384421e-06
Biweight58546.18637757117.9287371353306e-06
Cosine59335.02300514317.94162011726889e-06
Optcosine56968.51312242717.91272803324715e-06



Parameters (Session):
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):
par3 <- '512'
par2 <- 'no'
par1 <- '0'
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')
}