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 computationMon, 06 Dec 2010 23:42:03 +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/07/t1291678817q9cufsk29hs31l5.htm/, Retrieved Fri, 03 May 2024 20:59:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105976, Retrieved Fri, 03 May 2024 20:59:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact182

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] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Variance Reduction Matrix] [VRM1] [2010-12-06 23:10:39] [b8e188bcc949964bed729335b3416734]
-    D      [Variance Reduction Matrix] [VRM2] [2010-12-06 23:42:03] [278a0539dc236556c5f30b5bc56ff9eb] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
431
465
511
540
552
512
413
542
544
491
458
529
525
483
528
502
563
537
465
528
505
493
456
488
488
468
542
499
477
534
528
598
474
537
376
447
545
425
458
510
472
541
507
472
540
496
432
452
420
435
509
441
416
490
396
463
403
448
398
387
426
428
510
437
453
451
434

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105976&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105976&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105976&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)2432.01311623700Range222Trim Var.1671.94389246055
V(Y[t],d=1,D=0)3532.72097902098Range290Trim Var.2085.84935064935
V(Y[t],d=2,D=0)10654.2341346154Range456Trim Var.6278.5701754386
V(Y[t],d=3,D=0)35751.0414186508Range867Trim Var.21845.9896103896
V(Y[t],d=0,D=1)2713.93939393939Range231Trim Var.1693.03486394558
V(Y[t],d=1,D=1)5381.0929419986Range322Trim Var.3635.78679078014
V(Y[t],d=2,D=1)16112.8715529753Range596Trim Var.9797.05735430157
V(Y[t],d=3,D=1)52841.1568627451Range1099Trim Var.32278.2091787440
V(Y[t],d=0,D=2)8298.09302325581Range352Trim Var.4964.11111111111
V(Y[t],d=1,D=2)18787.3008130081Range613Trim Var.10834.8857142857
V(Y[t],d=2,D=2)56984.4975609756Range1043Trim Var.29694.4403361345
V(Y[t],d=3,D=2)188681.361538462Range1923Trim Var.117011.873015873

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2432.01311623700 & Range & 222 & Trim Var. & 1671.94389246055 \tabularnewline
V(Y[t],d=1,D=0) & 3532.72097902098 & Range & 290 & Trim Var. & 2085.84935064935 \tabularnewline
V(Y[t],d=2,D=0) & 10654.2341346154 & Range & 456 & Trim Var. & 6278.5701754386 \tabularnewline
V(Y[t],d=3,D=0) & 35751.0414186508 & Range & 867 & Trim Var. & 21845.9896103896 \tabularnewline
V(Y[t],d=0,D=1) & 2713.93939393939 & Range & 231 & Trim Var. & 1693.03486394558 \tabularnewline
V(Y[t],d=1,D=1) & 5381.0929419986 & Range & 322 & Trim Var. & 3635.78679078014 \tabularnewline
V(Y[t],d=2,D=1) & 16112.8715529753 & Range & 596 & Trim Var. & 9797.05735430157 \tabularnewline
V(Y[t],d=3,D=1) & 52841.1568627451 & Range & 1099 & Trim Var. & 32278.2091787440 \tabularnewline
V(Y[t],d=0,D=2) & 8298.09302325581 & Range & 352 & Trim Var. & 4964.11111111111 \tabularnewline
V(Y[t],d=1,D=2) & 18787.3008130081 & Range & 613 & Trim Var. & 10834.8857142857 \tabularnewline
V(Y[t],d=2,D=2) & 56984.4975609756 & Range & 1043 & Trim Var. & 29694.4403361345 \tabularnewline
V(Y[t],d=3,D=2) & 188681.361538462 & Range & 1923 & Trim Var. & 117011.873015873 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105976&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2432.01311623700[/C][C]Range[/C][C]222[/C][C]Trim Var.[/C][C]1671.94389246055[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]3532.72097902098[/C][C]Range[/C][C]290[/C][C]Trim Var.[/C][C]2085.84935064935[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]10654.2341346154[/C][C]Range[/C][C]456[/C][C]Trim Var.[/C][C]6278.5701754386[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]35751.0414186508[/C][C]Range[/C][C]867[/C][C]Trim Var.[/C][C]21845.9896103896[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]2713.93939393939[/C][C]Range[/C][C]231[/C][C]Trim Var.[/C][C]1693.03486394558[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]5381.0929419986[/C][C]Range[/C][C]322[/C][C]Trim Var.[/C][C]3635.78679078014[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]16112.8715529753[/C][C]Range[/C][C]596[/C][C]Trim Var.[/C][C]9797.05735430157[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]52841.1568627451[/C][C]Range[/C][C]1099[/C][C]Trim Var.[/C][C]32278.2091787440[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]8298.09302325581[/C][C]Range[/C][C]352[/C][C]Trim Var.[/C][C]4964.11111111111[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]18787.3008130081[/C][C]Range[/C][C]613[/C][C]Trim Var.[/C][C]10834.8857142857[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]56984.4975609756[/C][C]Range[/C][C]1043[/C][C]Trim Var.[/C][C]29694.4403361345[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]188681.361538462[/C][C]Range[/C][C]1923[/C][C]Trim Var.[/C][C]117011.873015873[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105976&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105976&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)2432.01311623700Range222Trim Var.1671.94389246055
V(Y[t],d=1,D=0)3532.72097902098Range290Trim Var.2085.84935064935
V(Y[t],d=2,D=0)10654.2341346154Range456Trim Var.6278.5701754386
V(Y[t],d=3,D=0)35751.0414186508Range867Trim Var.21845.9896103896
V(Y[t],d=0,D=1)2713.93939393939Range231Trim Var.1693.03486394558
V(Y[t],d=1,D=1)5381.0929419986Range322Trim Var.3635.78679078014
V(Y[t],d=2,D=1)16112.8715529753Range596Trim Var.9797.05735430157
V(Y[t],d=3,D=1)52841.1568627451Range1099Trim Var.32278.2091787440
V(Y[t],d=0,D=2)8298.09302325581Range352Trim Var.4964.11111111111
V(Y[t],d=1,D=2)18787.3008130081Range613Trim Var.10834.8857142857
V(Y[t],d=2,D=2)56984.4975609756Range1043Trim Var.29694.4403361345
V(Y[t],d=3,D=2)188681.361538462Range1923Trim Var.117011.873015873


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')