FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

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 computationMon, 27 Oct 2014 14:11:46 +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/Oct/27/t14144191729w63k4zl4kpuzt0.htm/, Retrieved Fri, 10 May 2024 15:48:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=247040, Retrieved Fri, 10 May 2024 15:48:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Boxplot and Trimmed Means] [Care Age 10 Data] [2009-10-26 09:01:50] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Boxplot and Trimmed Means] [Care Age 7 Data] [2009-10-26 18:36:29] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P     [CARE Data - Boxplots and Scatterplot Matrix] [CARE Data] [2010-10-19 14:16:27] [3fdd735c61ad38cbc9b3393dc997cdb7]
- RM        [CARE Data - Boxplots and Scatterplot Matrix] [CARE data - works...] [2011-10-17 10:23:12] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMP         [Boxplot and Trimmed Means] [CARE Study Age 7 ] [2013-10-17 12:59:45] [34296d8f7657c52ed60d5bff9133afec]
- RM            [Boxplot and Trimmed Means] [year 7 data] [2014-10-23 10:48:16] [770cabeb704b463c26ebb6813270a402]
-  M D            [Boxplot and Trimmed Means] [Year 10data] [2014-10-27 13:53:03] [770cabeb704b463c26ebb6813270a402]
-    D              [Boxplot and Trimmed Means] [AFS] [2014-10-27 14:05:09] [770cabeb704b463c26ebb6813270a402]
- RM                  [Kernel Density Estimation] [Maternal IQ] [2014-10-27 14:09:12] [770cabeb704b463c26ebb6813270a402]
- R  D                    [Kernel Density Estimation] [AVA] [2014-10-27 14:11:46] [f06adca6bfb99da24b496db9458d00d0] [Current]
-    D                      [Kernel Density Estimation] [ARD] [2014-10-27 14:14:01] [770cabeb704b463c26ebb6813270a402]
-    D                        [Kernel Density Estimation] [AMA] [2014-10-27 14:15:17] [770cabeb704b463c26ebb6813270a402]
-    D                          [Kernel Density Estimation] [AKN] [2014-10-27 14:16:29] [770cabeb704b463c26ebb6813270a402]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
95
92
95
97
92
104
79
78
79
86
92
78
86
71
90
93
80
90
77
86
89
88
86
97
81
88
82
82
100
91
111
102
105
92
100
82
91
71
71
89
82
105
71
91
105
82
86
72
98
80
84
109
80
112
86
112
90
96
84
94
112
81
105
77
105
112
91
92
72
100
103
89
86
112
71
73
99
85
80
88
95
86
92
96
71
88
98
108
103
81
96
112
95
92
103
95
94
79
91
87
82
97
92
112

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=247040&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=247040&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=247040&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'Gwilym Jenkins' @ jenkins.wessa.net






Properties of Density Trace
Bandwidth3.95847776881607
#Observations104

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 3.95847776881607 \tabularnewline
#Observations & 104 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=247040&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]3.95847776881607[/C][/ROW]
[ROW][C]#Observations[/C][C]104[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=247040&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=247040&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
Bandwidth3.95847776881607
#Observations104






Maximum Density Values
Kernelx-valuemax. density
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.48108382756830.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 90.4229307901964 & 0.0344534737326912 \tabularnewline
Epanechnikov & 89.535932617417 & 0.033780098093403 \tabularnewline
Rectangular & 85.4810838275683 & 0.0357616874760721 \tabularnewline
Triangular & 91.0565009136103 & 0.0342040533821247 \tabularnewline
Biweight & 90.1695027408309 & 0.0339802175501665 \tabularnewline
Cosine & 90.2962167655137 & 0.0340698293681773 \tabularnewline
Optcosine & 89.6626466420998 & 0.0338536465581232 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=247040&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]90.4229307901964[/C][C]0.0344534737326912[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]89.535932617417[/C][C]0.033780098093403[/C][/ROW]
[ROW][C]Rectangular[/C][C]85.4810838275683[/C][C]0.0357616874760721[/C][/ROW]
[ROW][C]Triangular[/C][C]91.0565009136103[/C][C]0.0342040533821247[/C][/ROW]
[ROW][C]Biweight[/C][C]90.1695027408309[/C][C]0.0339802175501665[/C][/ROW]
[ROW][C]Cosine[/C][C]90.2962167655137[/C][C]0.0340698293681773[/C][/ROW]
[ROW][C]Optcosine[/C][C]89.6626466420998[/C][C]0.0338536465581232[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=247040&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=247040&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
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.48108382756830.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232






Maximum Density Values
Kernelx-valuemax. density
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.60779785225110.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 90.4229307901964 & 0.0344534737326912 \tabularnewline
Epanechnikov & 89.535932617417 & 0.033780098093403 \tabularnewline
Rectangular & 85.6077978522511 & 0.0357616874760721 \tabularnewline
Triangular & 91.0565009136103 & 0.0342040533821247 \tabularnewline
Biweight & 90.1695027408309 & 0.0339802175501665 \tabularnewline
Cosine & 90.2962167655137 & 0.0340698293681773 \tabularnewline
Optcosine & 89.6626466420998 & 0.0338536465581232 \tabularnewline
 \hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=247040&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]90.4229307901964[/C][C]0.0344534737326912[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]89.535932617417[/C][C]0.033780098093403[/C][/ROW]
[ROW][C]Rectangular[/C][C]85.6077978522511[/C][C]0.0357616874760721[/C][/ROW]
[ROW][C]Triangular[/C][C]91.0565009136103[/C][C]0.0342040533821247[/C][/ROW]
[ROW][C]Biweight[/C][C]90.1695027408309[/C][C]0.0339802175501665[/C][/ROW]
[ROW][C]Cosine[/C][C]90.2962167655137[/C][C]0.0340698293681773[/C][/ROW]
[ROW][C]Optcosine[/C][C]89.6626466420998[/C][C]0.0338536465581232[/C][/ROW]
 [/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=247040&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=247040&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
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.60779785225110.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232






Maximum Density Values
Kernelx-valuemax. density
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.73451187693390.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 90.4229307901964 & 0.0344534737326912 \tabularnewline
Epanechnikov & 89.535932617417 & 0.033780098093403 \tabularnewline
Rectangular & 85.7345118769339 & 0.0357616874760721 \tabularnewline
Triangular & 91.0565009136103 & 0.0342040533821247 \tabularnewline
Biweight & 90.1695027408309 & 0.0339802175501665 \tabularnewline
Cosine & 90.2962167655137 & 0.0340698293681773 \tabularnewline
Optcosine & 89.6626466420998 & 0.0338536465581232 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=247040&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]90.4229307901964[/C][C]0.0344534737326912[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]89.535932617417[/C][C]0.033780098093403[/C][/ROW]
[ROW][C]Rectangular[/C][C]85.7345118769339[/C][C]0.0357616874760721[/C][/ROW]
[ROW][C]Triangular[/C][C]91.0565009136103[/C][C]0.0342040533821247[/C][/ROW]
[ROW][C]Biweight[/C][C]90.1695027408309[/C][C]0.0339802175501665[/C][/ROW]
[ROW][C]Cosine[/C][C]90.2962167655137[/C][C]0.0340698293681773[/C][/ROW]
[ROW][C]Optcosine[/C][C]89.6626466420998[/C][C]0.0338536465581232[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=247040&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=247040&T=4

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
Gaussian90.42293079019640.0344534737326912
Epanechnikov89.5359326174170.033780098093403
Rectangular85.73451187693390.0357616874760721
Triangular91.05650091361030.0342040533821247
Biweight90.16950274083090.0339802175501665
Cosine90.29621676551370.0340698293681773
Optcosine89.66264664209980.0338536465581232


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = TRUE ; par3 = 5 ;
Parameters (R input):
par1 = 2 ; par2 = TRUE ; par3 = 5 ;
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')
}