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_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSun, 14 Dec 2014 09:25:25 +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/14/t14185491363892n8fmd5jxnwb.htm/, Retrieved Tue, 28 May 2024 20:12:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267349, Retrieved Tue, 28 May 2024 20:12:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [] [2014-12-14 09:25:25] [c7f962214140f976f2c4b1bb2571d9df] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
325.87
302.25
294.00
285.43
286.19
276.70
267.77
267.03
257.87
257.19
275.60
305.68
358.06
320.07
295.90
291.27
272.87
269.27
271.32
267.45
260.33
277.94
277.07
312.65
319.71
318.39
304.90
303.73
273.29
274.33
270.45
278.23
274.03
279.00
287.50
336.87
334.10
296.07
286.84
277.63
261.32
264.07
261.94
252.84
257.83
271.16
273.63
304.87
323.90
336.11
335.65
282.23
273.03
270.07
246.03
242.35
250.33
267.45
268.80
302.68
313.10
306.39
305.61
277.27
264.94
268.63
293.90
248.65
256.00
258.52
266.90
281.23
306.00
325.46
291.13
282.53
256.52
258.63
252.74
245.16
255.03
268.35
293.73
278.39

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267349&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267349&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267349&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Variance Reduction Matrix
V(Y[t],d=0,D=0)630.945Range115.71Trim Var.395.083
V(Y[t],d=1,D=0)363.359Range105.8Trim Var.170.272
V(Y[t],d=2,D=0)613.579Range142.97Trim Var.269.863
V(Y[t],d=3,D=0)1707.45Range235.79Trim Var.760.719
V(Y[t],d=0,D=1)309.476Range89.97Trim Var.150.284
V(Y[t],d=1,D=1)377.558Range95.56Trim Var.187.357
V(Y[t],d=2,D=1)944.072Range172.87Trim Var.508.054
V(Y[t],d=3,D=1)2937.79Range266.35Trim Var.1552.73
V(Y[t],d=0,D=2)1009.87Range155.9Trim Var.531.059
V(Y[t],d=1,D=2)1099.84Range167.42Trim Var.543.566
V(Y[t],d=2,D=2)2465.94Range277.92Trim Var.1407.92
V(Y[t],d=3,D=2)7356.39Range467.75Trim Var.3784.83

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 630.945 & Range & 115.71 & Trim Var. & 395.083 \tabularnewline
V(Y[t],d=1,D=0) & 363.359 & Range & 105.8 & Trim Var. & 170.272 \tabularnewline
V(Y[t],d=2,D=0) & 613.579 & Range & 142.97 & Trim Var. & 269.863 \tabularnewline
V(Y[t],d=3,D=0) & 1707.45 & Range & 235.79 & Trim Var. & 760.719 \tabularnewline
V(Y[t],d=0,D=1) & 309.476 & Range & 89.97 & Trim Var. & 150.284 \tabularnewline
V(Y[t],d=1,D=1) & 377.558 & Range & 95.56 & Trim Var. & 187.357 \tabularnewline
V(Y[t],d=2,D=1) & 944.072 & Range & 172.87 & Trim Var. & 508.054 \tabularnewline
V(Y[t],d=3,D=1) & 2937.79 & Range & 266.35 & Trim Var. & 1552.73 \tabularnewline
V(Y[t],d=0,D=2) & 1009.87 & Range & 155.9 & Trim Var. & 531.059 \tabularnewline
V(Y[t],d=1,D=2) & 1099.84 & Range & 167.42 & Trim Var. & 543.566 \tabularnewline
V(Y[t],d=2,D=2) & 2465.94 & Range & 277.92 & Trim Var. & 1407.92 \tabularnewline
V(Y[t],d=3,D=2) & 7356.39 & Range & 467.75 & Trim Var. & 3784.83 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267349&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]630.945[/C][C]Range[/C][C]115.71[/C][C]Trim Var.[/C][C]395.083[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]363.359[/C][C]Range[/C][C]105.8[/C][C]Trim Var.[/C][C]170.272[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]613.579[/C][C]Range[/C][C]142.97[/C][C]Trim Var.[/C][C]269.863[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1707.45[/C][C]Range[/C][C]235.79[/C][C]Trim Var.[/C][C]760.719[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]309.476[/C][C]Range[/C][C]89.97[/C][C]Trim Var.[/C][C]150.284[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]377.558[/C][C]Range[/C][C]95.56[/C][C]Trim Var.[/C][C]187.357[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]944.072[/C][C]Range[/C][C]172.87[/C][C]Trim Var.[/C][C]508.054[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2937.79[/C][C]Range[/C][C]266.35[/C][C]Trim Var.[/C][C]1552.73[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1009.87[/C][C]Range[/C][C]155.9[/C][C]Trim Var.[/C][C]531.059[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1099.84[/C][C]Range[/C][C]167.42[/C][C]Trim Var.[/C][C]543.566[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2465.94[/C][C]Range[/C][C]277.92[/C][C]Trim Var.[/C][C]1407.92[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]7356.39[/C][C]Range[/C][C]467.75[/C][C]Trim Var.[/C][C]3784.83[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267349&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267349&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:

Variance Reduction Matrix
V(Y[t],d=0,D=0)630.945Range115.71Trim Var.395.083
V(Y[t],d=1,D=0)363.359Range105.8Trim Var.170.272
V(Y[t],d=2,D=0)613.579Range142.97Trim Var.269.863
V(Y[t],d=3,D=0)1707.45Range235.79Trim Var.760.719
V(Y[t],d=0,D=1)309.476Range89.97Trim Var.150.284
V(Y[t],d=1,D=1)377.558Range95.56Trim Var.187.357
V(Y[t],d=2,D=1)944.072Range172.87Trim Var.508.054
V(Y[t],d=3,D=1)2937.79Range266.35Trim Var.1552.73
V(Y[t],d=0,D=2)1009.87Range155.9Trim Var.531.059
V(Y[t],d=1,D=2)1099.84Range167.42Trim Var.543.566
V(Y[t],d=2,D=2)2465.94Range277.92Trim Var.1407.92
V(Y[t],d=3,D=2)7356.39Range467.75Trim Var.3784.83


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(myx,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,signif(var(myx), digits=6))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,signif(max(myx)-min(myx), digits=6))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,signif(var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')
bitmap(file='pic0.png')
op <- par(mfrow=c(2,2))
plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0')
plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0')
plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1')
plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1')
par(op)
dev.off()