## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_density.wasp
Title produced by softwareKernel Density Estimation
Date of computationMon, 05 Oct 2020 21:10:01 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/Oct/05/t16019250639k4mg97upf7tvc2.htm/, Retrieved Wed, 21 Apr 2021 08:14:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319256, Retrieved Wed, 21 Apr 2021 08:14:30 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact19
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Kernel Density Estimation] [] [2020-10-05 19:10:01] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 seconds R Server Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319256&T=0

[TABLE]
[ROW]
 Summary of computational transaction[/C][/ROW] [ROW] Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW] Raw Output[/C] view raw output of R engine [/C][/ROW] [ROW] Computing time[/C] 1 seconds[/C][/ROW] [ROW] R Server[/C] Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319256&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319256&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 seconds R Server Big Analytics Cloud Computing Center

 Properties of Density Trace Bandwidth 39.9603549217053 #Observations 144

\begin{tabular}{lllllllll}
\hline
Properties of Density Trace \tabularnewline
Bandwidth & 39.9603549217053 \tabularnewline
#Observations & 144 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319256&T=1

[TABLE]
[ROW][C]Properties of Density Trace[/C][/ROW]
[ROW][C]Bandwidth[/C][C]39.9603549217053[/C][/ROW]
[ROW][C]#Observations[/C][C]144[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319256&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319256&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 Bandwidth 39.9603549217053 #Observations 144

 Maximum Density Values Kernel x-value max. density Gaussian 182.827595424808 0.00320724649534618 Epanechnikov 188.759197221522 0.00323193466326604 Rectangular 176.895993628094 0.00341135142132126 Triangular 187.276296772343 0.00323039505191026 Biweight 187.276296772343 0.00321912489894896 Cosine 185.793396323165 0.0032146823290285 Optcosine 188.759197221522 0.00323063112361666

\begin{tabular}{lllllllll}
\hline
Maximum Density Values \tabularnewline
Kernel & x-value & max. density \tabularnewline
Gaussian & 182.827595424808 & 0.00320724649534618 \tabularnewline
Epanechnikov & 188.759197221522 & 0.00323193466326604 \tabularnewline
Rectangular & 176.895993628094 & 0.00341135142132126 \tabularnewline
Triangular & 187.276296772343 & 0.00323039505191026 \tabularnewline
Biweight & 187.276296772343 & 0.00321912489894896 \tabularnewline
Cosine & 185.793396323165 & 0.0032146823290285 \tabularnewline
Optcosine & 188.759197221522 & 0.00323063112361666 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319256&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]182.827595424808[/C][C]0.00320724649534618[/C][/ROW]
[ROW][C]Epanechnikov[/C][C]188.759197221522[/C][C]0.00323193466326604[/C][/ROW]
[ROW][C]Rectangular[/C][C]176.895993628094[/C][C]0.00341135142132126[/C][/ROW]
[ROW][C]Triangular[/C][C]187.276296772343[/C][C]0.00323039505191026[/C][/ROW]
[ROW][C]Biweight[/C][C]187.276296772343[/C][C]0.00321912489894896[/C][/ROW]
[ROW][C]Cosine[/C][C]185.793396323165[/C][C]0.0032146823290285[/C][/ROW]
[ROW][C]Optcosine[/C][C]188.759197221522[/C][C]0.00323063112361666[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319256&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319256&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 Kernel x-value max. density Gaussian 182.827595424808 0.00320724649534618 Epanechnikov 188.759197221522 0.00323193466326604 Rectangular 176.895993628094 0.00341135142132126 Triangular 187.276296772343 0.00323039505191026 Biweight 187.276296772343 0.00321912489894896 Cosine 185.793396323165 0.0032146823290285 Optcosine 188.759197221522 0.00323063112361666

 Kernel Density Values x-value Gaussian Epanechnikov Rectangular Triangular Biweight Cosine Optcosine Kernel Density Values are not shown

\begin{tabular}{lllllllll}
\hline
Kernel Density Values \tabularnewline
x-value & Gaussian & Epanechnikov & Rectangular & Triangular & Biweight & Cosine & Optcosine \tabularnewline
Kernel Density Values are not shown \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319256&T=3

[TABLE]
[ROW][C]Kernel Density Values[/C][/ROW]
[ROW][C]x-value[/C][C]Gaussian[/C][C]Epanechnikov[/C][C]Rectangular[/C][C]Triangular[/C][C]Biweight[/C][C]Cosine[/C][C]Optcosine[/C][/ROW]
[ROW][C]Kernel Density Values are not shown[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319256&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319256&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Kernel Density Values x-value Gaussian Epanechnikov Rectangular Triangular Biweight Cosine Optcosine Kernel Density Values are not shown

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()mydensity1bitmap(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')ab<-table.start()ab<-table.row.start(ab)ab<-table.element(ab,'Properties of Density Trace',2,TRUE)ab<-table.row.end(ab)ab<-table.row.start(ab)ab<-table.element(ab,'Bandwidth',header=TRUE)ab<-table.element(ab,mydensity1$bw)ab<-table.row.end(ab)ab<-table.row.start(ab)ab<-table.element(ab,'#Observations',header=TRUE)ab<-table.element(ab,mydensity1$n)ab<-table.row.end(ab)ab<-table.end(ab)a <- abtable.save(ab,file='mytable123.tab')b<-table.start()b<-table.row.start(b)b<-table.element(b,'Maximum Density Values',3,TRUE)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Kernel',1,TRUE)b<-table.element(b,'x-value',1,TRUE)b<-table.element(b,'max. density',1,TRUE)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Gaussian',1,TRUE)b<-table.element(b,mydensity1$x[mydensity1$y==max(mydensity1$y)],1)b<-table.element(b,mydensity1$y[mydensity1$y==max(mydensity1$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Epanechnikov',1,TRUE)b<-table.element(b,mydensity2$x[mydensity2$y==max(mydensity2$y)],1)b<-table.element(b,mydensity2$y[mydensity2$y==max(mydensity2$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Rectangular',1,TRUE)b<-table.element(b,mydensity3$x[mydensity3$y==max(mydensity3$y)],1)b<-table.element(b,mydensity3$y[mydensity3$y==max(mydensity3$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Triangular',1,TRUE)b<-table.element(b,mydensity4$x[mydensity4$y==max(mydensity4$y)],1)b<-table.element(b,mydensity4$y[mydensity4$y==max(mydensity4$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Biweight',1,TRUE)b<-table.element(b,mydensity5$x[mydensity5$y==max(mydensity5$y)],1)b<-table.element(b,mydensity5$y[mydensity5$y==max(mydensity5$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Cosine',1,TRUE)b<-table.element(b,mydensity6$x[mydensity6$y==max(mydensity6$y)],1)b<-table.element(b,mydensity6$y[mydensity6$y==max(mydensity6$y)],1)b<-table.row.end(b)b<-table.row.start(b)b<-table.element(b,'Optcosine',1,TRUE)b<-table.element(b,mydensity7$x[mydensity7$y==max(mydensity7$y)],1)b<-table.element(b,mydensity7$y[mydensity7$y==max(mydensity7$y)],1)b<-table.row.end(b)b<-table.end(b)a <- b[1]table.save(b,file='mytable2a.tab')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)if (par2=='yes') {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)}} else {a<-table.row.start(a)a<-table.element(a,'Kernel Density Values are not shown',8)a<-table.row.end(a)}a<-table.end(a)table.save(a,file='mytable1.tab')