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, 27 Dec 2009 06:28:57 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/27/t1261920660yi6fazw9ikjulwo.htm/, Retrieved Thu, 02 May 2024 18:05:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70885, Retrieved Thu, 02 May 2024 18:05:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [test 3] [2007-10-13 09:57:27] [74be16979710d4c4e7c6647856088456]
- RMPD  [Standard Deviation-Mean Plot] [paper standard de...] [2008-12-10 13:47:28] [11edab5c4db3615abbf782b1c6e7cacf]
- RM D      [Variance Reduction Matrix] [paper VRM WLH] [2009-12-27 13:28:57] [1b03feaac1d41902024770a37504c07f] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
401
394
372
334
320
334
400
427
423
395
373
377
391
398
393
375
371
364
400
406
407
397
389
394
399
401
396
392
384
370
380
376
378
376
373
374
379
376
371
375
360
338
352
344
330
334
333
343
350
341
320
302
287
304
370
385
365
333
313
330
367

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70885&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70885&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70885&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'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)963.227322404372Range140Trim Var.581.002177068215
V(Y[t],d=1,D=0)376.419209039548Range104Trim Var.163.977987421384
V(Y[t],d=2,D=0)440.779076563413Range103Trim Var.255.484760522496
V(Y[t],d=3,D=0)826.068058076225Range146Trim Var.340.710407239819
V(Y[t],d=0,D=1)782.234693877551Range124Trim Var.452.562569213732
V(Y[t],d=1,D=1)283.698138297872Range88Trim Var.130.534262485482
V(Y[t],d=2,D=1)251.490286771508Range70Trim Var.131.015384615385
V(Y[t],d=3,D=1)335.184541062802Range89Trim Var.166.813765182186
V(Y[t],d=0,D=2)1031.13363363363Range139Trim Var.560.676136363636
V(Y[t],d=1,D=2)356.977777777778Range90Trim Var.172.200604838710
V(Y[t],d=2,D=2)378.467226890756Range92Trim Var.220.458064516129
V(Y[t],d=3,D=2)697.058823529412Range128Trim Var.363.788505747126

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 963.227322404372 & Range & 140 & Trim Var. & 581.002177068215 \tabularnewline
V(Y[t],d=1,D=0) & 376.419209039548 & Range & 104 & Trim Var. & 163.977987421384 \tabularnewline
V(Y[t],d=2,D=0) & 440.779076563413 & Range & 103 & Trim Var. & 255.484760522496 \tabularnewline
V(Y[t],d=3,D=0) & 826.068058076225 & Range & 146 & Trim Var. & 340.710407239819 \tabularnewline
V(Y[t],d=0,D=1) & 782.234693877551 & Range & 124 & Trim Var. & 452.562569213732 \tabularnewline
V(Y[t],d=1,D=1) & 283.698138297872 & Range & 88 & Trim Var. & 130.534262485482 \tabularnewline
V(Y[t],d=2,D=1) & 251.490286771508 & Range & 70 & Trim Var. & 131.015384615385 \tabularnewline
V(Y[t],d=3,D=1) & 335.184541062802 & Range & 89 & Trim Var. & 166.813765182186 \tabularnewline
V(Y[t],d=0,D=2) & 1031.13363363363 & Range & 139 & Trim Var. & 560.676136363636 \tabularnewline
V(Y[t],d=1,D=2) & 356.977777777778 & Range & 90 & Trim Var. & 172.200604838710 \tabularnewline
V(Y[t],d=2,D=2) & 378.467226890756 & Range & 92 & Trim Var. & 220.458064516129 \tabularnewline
V(Y[t],d=3,D=2) & 697.058823529412 & Range & 128 & Trim Var. & 363.788505747126 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70885&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]963.227322404372[/C][C]Range[/C][C]140[/C][C]Trim Var.[/C][C]581.002177068215[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]376.419209039548[/C][C]Range[/C][C]104[/C][C]Trim Var.[/C][C]163.977987421384[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]440.779076563413[/C][C]Range[/C][C]103[/C][C]Trim Var.[/C][C]255.484760522496[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]826.068058076225[/C][C]Range[/C][C]146[/C][C]Trim Var.[/C][C]340.710407239819[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]782.234693877551[/C][C]Range[/C][C]124[/C][C]Trim Var.[/C][C]452.562569213732[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]283.698138297872[/C][C]Range[/C][C]88[/C][C]Trim Var.[/C][C]130.534262485482[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]251.490286771508[/C][C]Range[/C][C]70[/C][C]Trim Var.[/C][C]131.015384615385[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]335.184541062802[/C][C]Range[/C][C]89[/C][C]Trim Var.[/C][C]166.813765182186[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1031.13363363363[/C][C]Range[/C][C]139[/C][C]Trim Var.[/C][C]560.676136363636[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]356.977777777778[/C][C]Range[/C][C]90[/C][C]Trim Var.[/C][C]172.200604838710[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]378.467226890756[/C][C]Range[/C][C]92[/C][C]Trim Var.[/C][C]220.458064516129[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]697.058823529412[/C][C]Range[/C][C]128[/C][C]Trim Var.[/C][C]363.788505747126[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70885&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70885&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)963.227322404372Range140Trim Var.581.002177068215
V(Y[t],d=1,D=0)376.419209039548Range104Trim Var.163.977987421384
V(Y[t],d=2,D=0)440.779076563413Range103Trim Var.255.484760522496
V(Y[t],d=3,D=0)826.068058076225Range146Trim Var.340.710407239819
V(Y[t],d=0,D=1)782.234693877551Range124Trim Var.452.562569213732
V(Y[t],d=1,D=1)283.698138297872Range88Trim Var.130.534262485482
V(Y[t],d=2,D=1)251.490286771508Range70Trim Var.131.015384615385
V(Y[t],d=3,D=1)335.184541062802Range89Trim Var.166.813765182186
V(Y[t],d=0,D=2)1031.13363363363Range139Trim Var.560.676136363636
V(Y[t],d=1,D=2)356.977777777778Range90Trim Var.172.200604838710
V(Y[t],d=2,D=2)378.467226890756Range92Trim Var.220.458064516129
V(Y[t],d=3,D=2)697.058823529412Range128Trim Var.363.788505747126


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(x,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')