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 computationWed, 29 Dec 2010 13:08:34 +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/2010/Dec/29/t12936279948jvgyp1ytthwz3i.htm/, Retrieved Fri, 03 May 2024 05:20:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116788, Retrieved Fri, 03 May 2024 05:20:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

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] [] [2010-12-22 21:18:53] [29e492448d11757ae0fad5ef6e7f8e86]
-    D    [Variance Reduction Matrix] [] [2010-12-29 13:08:34] [e180d4cd19004beeddc12e67012247dc] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
04,031636
03,702076
03,056167
03,280707
02,984728
03,693712
03,226317
02,190349
02,599515
03,080288
02,929672
02,922548
03,234943
02,983081
03,284389
03,806511
03,784579
02,645654
03,092081
03,204859
03,107225
03,466909
02,984404
03,218072
02,827310
03,182049
02,236319
02,033218
01,644804
01,627971
01,677559
02,330828
02,493615
02,257172
02,655517
02,298655
02,600402
03,045230
02,790583
03,227052
02,967479
02,938817
03,277961
03,423985
03,072646
02,754253
02,910431
03,174369
03,068387
03,089543
02,906654
02,931161
03,025660
02,939551
02,691019
03,198120
03,076390
02,863873
03,013802
03,053364
02,864753
03,057062
02,959365
03,252258
03,602988
03,497704
03,296867
03,602417
03,300100
03,401930
03,502591
03,402348
03,498551
03,199823
02,700064
02,801034
02,898628
02,800854
02,399942
02,402724
02,202331
02,102594
01,798293
01,202484
01,400201
01,200832
01,298083
01,099742
01,001377
00,836174

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116788&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116788&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116788&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.463453852430308Range3.195462Trim Var.0.26381336620767
V(Y[t],d=1,D=0)0.121352449488359Range1.847909Trim Var.0.0644825103984216
V(Y[t],d=2,D=0)0.292472179241893Range2.885821Trim Var.0.166784696463345
V(Y[t],d=3,D=0)0.90961444040938Range4.883687Trim Var.0.545270829720196
V(Y[t],d=0,D=1)0.836019340550984Range3.800266Trim Var.0.580721769203562
V(Y[t],d=1,D=1)0.251884033190779Range2.996655Trim Var.0.13016052820393
V(Y[t],d=2,D=1)0.598492914191449Range4.883687Trim Var.0.271054239544492
V(Y[t],d=3,D=1)1.89165859714145Range8.047084Trim Var.0.95016002038515
V(Y[t],d=0,D=2)2.03874327980683Range6.402076Trim Var.1.18464116718710
V(Y[t],d=1,D=2)0.719490613912178Range5.164256Trim Var.0.364277585601638
V(Y[t],d=2,D=2)1.71732661928705Range7.891192Trim Var.0.790290662989527
V(Y[t],d=3,D=2)5.45454761421478Range12.87426Trim Var.2.68383834347319

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.463453852430308 & Range & 3.195462 & Trim Var. & 0.26381336620767 \tabularnewline
V(Y[t],d=1,D=0) & 0.121352449488359 & Range & 1.847909 & Trim Var. & 0.0644825103984216 \tabularnewline
V(Y[t],d=2,D=0) & 0.292472179241893 & Range & 2.885821 & Trim Var. & 0.166784696463345 \tabularnewline
V(Y[t],d=3,D=0) & 0.90961444040938 & Range & 4.883687 & Trim Var. & 0.545270829720196 \tabularnewline
V(Y[t],d=0,D=1) & 0.836019340550984 & Range & 3.800266 & Trim Var. & 0.580721769203562 \tabularnewline
V(Y[t],d=1,D=1) & 0.251884033190779 & Range & 2.996655 & Trim Var. & 0.13016052820393 \tabularnewline
V(Y[t],d=2,D=1) & 0.598492914191449 & Range & 4.883687 & Trim Var. & 0.271054239544492 \tabularnewline
V(Y[t],d=3,D=1) & 1.89165859714145 & Range & 8.047084 & Trim Var. & 0.95016002038515 \tabularnewline
V(Y[t],d=0,D=2) & 2.03874327980683 & Range & 6.402076 & Trim Var. & 1.18464116718710 \tabularnewline
V(Y[t],d=1,D=2) & 0.719490613912178 & Range & 5.164256 & Trim Var. & 0.364277585601638 \tabularnewline
V(Y[t],d=2,D=2) & 1.71732661928705 & Range & 7.891192 & Trim Var. & 0.790290662989527 \tabularnewline
V(Y[t],d=3,D=2) & 5.45454761421478 & Range & 12.87426 & Trim Var. & 2.68383834347319 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116788&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.463453852430308[/C][C]Range[/C][C]3.195462[/C][C]Trim Var.[/C][C]0.26381336620767[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.121352449488359[/C][C]Range[/C][C]1.847909[/C][C]Trim Var.[/C][C]0.0644825103984216[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.292472179241893[/C][C]Range[/C][C]2.885821[/C][C]Trim Var.[/C][C]0.166784696463345[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.90961444040938[/C][C]Range[/C][C]4.883687[/C][C]Trim Var.[/C][C]0.545270829720196[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.836019340550984[/C][C]Range[/C][C]3.800266[/C][C]Trim Var.[/C][C]0.580721769203562[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.251884033190779[/C][C]Range[/C][C]2.996655[/C][C]Trim Var.[/C][C]0.13016052820393[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.598492914191449[/C][C]Range[/C][C]4.883687[/C][C]Trim Var.[/C][C]0.271054239544492[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1.89165859714145[/C][C]Range[/C][C]8.047084[/C][C]Trim Var.[/C][C]0.95016002038515[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2.03874327980683[/C][C]Range[/C][C]6.402076[/C][C]Trim Var.[/C][C]1.18464116718710[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.719490613912178[/C][C]Range[/C][C]5.164256[/C][C]Trim Var.[/C][C]0.364277585601638[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1.71732661928705[/C][C]Range[/C][C]7.891192[/C][C]Trim Var.[/C][C]0.790290662989527[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]5.45454761421478[/C][C]Range[/C][C]12.87426[/C][C]Trim Var.[/C][C]2.68383834347319[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116788&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116788&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)0.463453852430308Range3.195462Trim Var.0.26381336620767
V(Y[t],d=1,D=0)0.121352449488359Range1.847909Trim Var.0.0644825103984216
V(Y[t],d=2,D=0)0.292472179241893Range2.885821Trim Var.0.166784696463345
V(Y[t],d=3,D=0)0.90961444040938Range4.883687Trim Var.0.545270829720196
V(Y[t],d=0,D=1)0.836019340550984Range3.800266Trim Var.0.580721769203562
V(Y[t],d=1,D=1)0.251884033190779Range2.996655Trim Var.0.13016052820393
V(Y[t],d=2,D=1)0.598492914191449Range4.883687Trim Var.0.271054239544492
V(Y[t],d=3,D=1)1.89165859714145Range8.047084Trim Var.0.95016002038515
V(Y[t],d=0,D=2)2.03874327980683Range6.402076Trim Var.1.18464116718710
V(Y[t],d=1,D=2)0.719490613912178Range5.164256Trim Var.0.364277585601638
V(Y[t],d=2,D=2)1.71732661928705Range7.891192Trim Var.0.790290662989527
V(Y[t],d=3,D=2)5.45454761421478Range12.87426Trim Var.2.68383834347319


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,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,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()