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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationSat, 13 Dec 2014 10:32:55 +0000
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/Dec/13/t1418466800mk3zq1w6pjlgy5z.htm/, Retrieved Sun, 19 May 2024 14:55:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266950, Retrieved Sun, 19 May 2024 14:55:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [Gaussian kernel L...] [2014-12-13 10:32:55] [d0ee3c98d5e00815b38c7c808f1992f4] [Current]
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Dataseries X:
149
NA
148
NA
NA
NA
159
NA
NA
NA
NA
NA
NA
176
54
91
NA
124
NA
121
NA
NA
221
NA
NA
NA
NA
92
NA
153
94
156
NA
NA
NA
NA
151
NA
NA
157
NA
NA
NA
NA
NA
187
NA
NA
105
NA
NA
NA
NA
NA
NA
NA
128
NA
49
NA
NA
162
99
NA
186
NA
183
NA
NA
104
177
126
76
NA
139
162
NA
159
74
NA
96
116
87
NA
127
NA
NA
74
91
133
NA
NA
NA
95
NA
121
NA
NA
NA
NA
NA
102
NA
NA
NA
102
100
94
52
98
118
NA
NA
NA
NA
NA
109
NA
NA
158
NA
67
147
NA
NA
NA
NA
NA
NA
NA
NA
165
NA
NA
NA
NA
NA
NA
150
NA
NA
NA
NA
NA
149
145
NA
109
132
NA
169
NA
NA
172
NA
NA
NA
113
115
78
118
NA
173
NA
162
NA
122
NA
100
82
NA
115
NA
NA
NA
NA
NA
158
NA
49
90
121
NA
104
NA
110
108
113
115
NA
NA
NA
NA
111
77
NA
151
89
78
110
NA
NA
141
117
NA
63
NA
NA
131
NA
NA
NA
107
77
154
NA
NA
NA
NA
112
143
49
NA
NA
167
56
137
NA
NA
149
168
140
NA
NA
NA
NA
48
NA
NA
NA
109
63
NA
162
NA
NA
164
NA
126
NA
NA
83
NA
81
NA
110
NA
93
104
NA
NA
88
NA
NA
99
NA
76
109
NA
NA
120
NA
91
108
NA
117
119




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=266950&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=266950&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266950&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Properties of Density Trace
Bandwidth12.3371585693889
#Observations120

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 12.3371585693889 \tabularnewline
#Observations & 120 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266950&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]12.3371585693889[/C][/ROW]
[ROW][C]#Observations[/C][C]120[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266950&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266950&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
Bandwidth12.3371585693889
#Observations120







Maximum Density Values
Kernelx-valuemax. density
Gaussian108.6375187851780.0112061094437025
Epanechnikov107.6706970575220.0109596968291354
Rectangular107.1872861936930.0111144465041376
Triangular109.1209296490070.0110745275646953
Biweight107.1872861936930.011005677523346
Cosine107.6706970575220.011033329960049
Optcosine107.6706970575220.0109658553940011

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 108.637518785178 & 0.0112061094437025 \tabularnewline
Epanechnikov & 107.670697057522 & 0.0109596968291354 \tabularnewline
Rectangular & 107.187286193693 & 0.0111144465041376 \tabularnewline
Triangular & 109.120929649007 & 0.0110745275646953 \tabularnewline
Biweight & 107.187286193693 & 0.011005677523346 \tabularnewline
Cosine & 107.670697057522 & 0.011033329960049 \tabularnewline
Optcosine & 107.670697057522 & 0.0109658553940011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266950&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]108.637518785178[/C][C]0.0112061094437025[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]107.670697057522[/C][C]0.0109596968291354[/C][/ROW]
[ROW][C]Rectangular[/C][C]107.187286193693[/C][C]0.0111144465041376[/C][/ROW]
[ROW][C]Triangular[/C][C]109.120929649007[/C][C]0.0110745275646953[/C][/ROW]
[ROW][C]Biweight[/C][C]107.187286193693[/C][C]0.011005677523346[/C][/ROW]
[ROW][C]Cosine[/C][C]107.670697057522[/C][C]0.011033329960049[/C][/ROW]
[ROW][C]Optcosine[/C][C]107.670697057522[/C][C]0.0109658553940011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266950&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266950&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
Gaussian108.6375187851780.0112061094437025
Epanechnikov107.6706970575220.0109596968291354
Rectangular107.1872861936930.0111144465041376
Triangular109.1209296490070.0110745275646953
Biweight107.1872861936930.011005677523346
Cosine107.6706970575220.011033329960049
Optcosine107.6706970575220.0109658553940011



Parameters (Session):
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')
}