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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, 21 Oct 2013 13:32:21 -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/Oct/21/t1382376796wf4numaegvzxse6.htm/, Retrieved Sun, 28 Apr 2024 21:26:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=217670, Retrieved Sun, 28 Apr 2024 21:26:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2013-10-21 17:32:21] [e79f8ee2cb0f5e6995c7e7c276aa82d6] [Current]
- RMPD    [Maximum-likelihood Fitting - Normal Distribution] [e3] [2013-10-21 17:52:48] [39cbfe47c159a412f7ecb12deab05d66]
- RMPD    [Maximum-likelihood Fitting - Normal Distribution] [e2] [2013-10-21 17:55:00] [39cbfe47c159a412f7ecb12deab05d66]
- RMP     [Maximum-likelihood Fitting - Normal Distribution] [e1] [2013-10-21 17:56:02] [39cbfe47c159a412f7ecb12deab05d66]
- RMPD      [Random Number Generator - Log-Normal Distribution] [] [2013-10-21 18:09:33] [39cbfe47c159a412f7ecb12deab05d66]
- RMPD      [Random Number Generator - Log-Normal Distribution] [] [2013-10-21 18:13:58] [39cbfe47c159a412f7ecb12deab05d66]
- RMPD      [Random Number Generator - Log-Normal Distribution] [] [2013-10-21 18:16:24] [39cbfe47c159a412f7ecb12deab05d66]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7	7	4	5
6	6	6	6
6	6	5	5
5	6	4	5
6	6	6	6
7	7	6	7
7	7	7	7
7	7	6	7
7	6	5	6
6	6	5	6
4	7	7	6
6	7	7	7
6	7	7	7
7	7	7	7
6	7	7	7
6	6	6	5
4	7	6	7
7	7	7	7
7	7	7	6
6	7	6	6
3	5	5	6
7	4	7	6
5	6	5	4
7	7	7	7
6	7	6	7
5	7	6	5
5	7	6	5
6	6	2	6
5	2	2	2
6	6	5	7
6	7	6	6
5	6	6	6
4	4	4	6
5	5	4	6
4	5	5	6
6	6	6	6
6	7	5	5
7	6	6	6
7	7	7	7
7	6	7	6
7	7	5	7
5	6	6	6
6	5	5	6
6	6	6	6
3	7	5	6
6	5	4	5
5	6	5	6
4	5	6	5
6	6	6	7
6	6	3	5
6	6	4	6
5	7	6	5
6	6	6	7
5	6	5	7
7	5	5	6
6	5	5	6
6	6	6	6
7	7	6	5
4	5	6	6
3	4	4	1
4	6	3	4
4	6	5	5
5	7	5	6
4	5	7	7
6	5	5	4
7	7	7	7
6	6	6	6
6	7	6	5
6	6	6	6
6	6	6	6
7	7	7	7
6	7	6	6
6	6	5	4
6	6	7	6
7	6	6	6
5	4	4	5
4	4	4	5
7	7	6	6
7	7	7	7
6	4	6	5
7	7	6	7
6	6	5	5
5	6	5	5
7	6	5	7
6	6	5	5
5	7	6	5
6	6	7	7
5	4	5	5
7	7	7	4
6	6	3	6
2	2	4	5
5	6	6	7
7	6	7	5
7	6	7	6
7	6	6	6
7	7	7	4
6	6	4	6
5	6	5	5
6	6	5	6
6	6	7	6
5	7	6	6
7	7	3	4
5	5	5	6
6	6	6	7
5	7	5	5
5	5	5	5
5	5	5	5
5	6	5	7
7	7	7	7
6	6	6	5
7	7	7	7
6	6	6	6
5	5	4	4
5	5	5	5
7	7	7	7
6	5	5	5
5	6	6	4
7	7	5	6
4	6	2	7
3	6	4	5
7	4	5	5
5	6	5	6
6	5	6	7
4	4	4	3
7	7	7	7
7	7	6	6
5	6	6	6
7	7	6	6
3	6	5	6
6	5	5	6
5	5	5	5
5	6	6	6
6	6	4	6
5	7	6	6
6	6	5	6
6	5	5	6
7	7	5	7
5	5	6	7
7	7	7	6
6	5	6	6
6	5	5	5
7	7	6	6
7	4	6	6
5	6	4	6
7	7	6	7
5	5	4	5
6	5	6	6
7	6	6	6
6	5	6	6
5	6	5	6
6	7	5	4
7	7	5	6
6	7	6	6
7	7	7	7
7	7	7	7
6	4	4	6
6	7	6	6
4	7	4	4
7	6	7	5
6	6	4	6
4	5	4	5
5	5	5	5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=217670&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]0 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=217670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=217670&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 time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = no ; par3 = 512 ;
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')
}