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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 23:10:39 +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/t1291676914x6262pd7l5d3ohu.htm/, Retrieved Sat, 04 May 2024 00:44:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105965, Retrieved Sat, 04 May 2024 00:44:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

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] [278a0539dc236556c5f30b5bc56ff9eb] [Current]
-    D      [Variance Reduction Matrix] [VRM2] [2010-12-06 23:42:03] [b8e188bcc949964bed729335b3416734]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
300
302
400
392
373
379
303
324
353
392
327
376
329
359
413
338
422
390
370
367
406
418
346
350
330
318
382
337
372
422
428
426
396
458
315
337
386
352
383
439
397
453
363
365
474
373
403
384
364
361
419
352
363
410
361
383
342
369
361
317
386
318
407
393
404
498
438

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105965&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105965&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)1776.421076436Range198Trim Var.1032.42898889538
V(Y[t],d=1,D=0)2769.8993006993Range252Trim Var.1704.09800362976
V(Y[t],d=2,D=0)8445.38846153846Range375Trim Var.5626.09837092732
V(Y[t],d=3,D=0)28057.8323412698Range687Trim Var.18388.4350649351
V(Y[t],d=0,D=1)2537.44781144781Range234Trim Var.1627.74659863946
V(Y[t],d=1,D=1)4655.4213836478Range336Trim Var.2487.39716312057
V(Y[t],d=2,D=1)14840.8904208999Range638Trim Var.8294.0703052729
V(Y[t],d=3,D=1)51118.7496229261Range1188Trim Var.26720.1628019324
V(Y[t],d=0,D=2)7684.642303433Range341Trim Var.4995.02702702703
V(Y[t],d=1,D=2)16023.2293844367Range580Trim Var.8298.65714285714
V(Y[t],d=2,D=2)51456.7524390244Range1082Trim Var.25436.5378151261
V(Y[t],d=3,D=2)177183.343589744Range1967Trim Var.103097.507142857

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1776.421076436 & Range & 198 & Trim Var. & 1032.42898889538 \tabularnewline
V(Y[t],d=1,D=0) & 2769.8993006993 & Range & 252 & Trim Var. & 1704.09800362976 \tabularnewline
V(Y[t],d=2,D=0) & 8445.38846153846 & Range & 375 & Trim Var. & 5626.09837092732 \tabularnewline
V(Y[t],d=3,D=0) & 28057.8323412698 & Range & 687 & Trim Var. & 18388.4350649351 \tabularnewline
V(Y[t],d=0,D=1) & 2537.44781144781 & Range & 234 & Trim Var. & 1627.74659863946 \tabularnewline
V(Y[t],d=1,D=1) & 4655.4213836478 & Range & 336 & Trim Var. & 2487.39716312057 \tabularnewline
V(Y[t],d=2,D=1) & 14840.8904208999 & Range & 638 & Trim Var. & 8294.0703052729 \tabularnewline
V(Y[t],d=3,D=1) & 51118.7496229261 & Range & 1188 & Trim Var. & 26720.1628019324 \tabularnewline
V(Y[t],d=0,D=2) & 7684.642303433 & Range & 341 & Trim Var. & 4995.02702702703 \tabularnewline
V(Y[t],d=1,D=2) & 16023.2293844367 & Range & 580 & Trim Var. & 8298.65714285714 \tabularnewline
V(Y[t],d=2,D=2) & 51456.7524390244 & Range & 1082 & Trim Var. & 25436.5378151261 \tabularnewline
V(Y[t],d=3,D=2) & 177183.343589744 & Range & 1967 & Trim Var. & 103097.507142857 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105965&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1776.421076436[/C][C]Range[/C][C]198[/C][C]Trim Var.[/C][C]1032.42898889538[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]2769.8993006993[/C][C]Range[/C][C]252[/C][C]Trim Var.[/C][C]1704.09800362976[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]8445.38846153846[/C][C]Range[/C][C]375[/C][C]Trim Var.[/C][C]5626.09837092732[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]28057.8323412698[/C][C]Range[/C][C]687[/C][C]Trim Var.[/C][C]18388.4350649351[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]2537.44781144781[/C][C]Range[/C][C]234[/C][C]Trim Var.[/C][C]1627.74659863946[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]4655.4213836478[/C][C]Range[/C][C]336[/C][C]Trim Var.[/C][C]2487.39716312057[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]14840.8904208999[/C][C]Range[/C][C]638[/C][C]Trim Var.[/C][C]8294.0703052729[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]51118.7496229261[/C][C]Range[/C][C]1188[/C][C]Trim Var.[/C][C]26720.1628019324[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]7684.642303433[/C][C]Range[/C][C]341[/C][C]Trim Var.[/C][C]4995.02702702703[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]16023.2293844367[/C][C]Range[/C][C]580[/C][C]Trim Var.[/C][C]8298.65714285714[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]51456.7524390244[/C][C]Range[/C][C]1082[/C][C]Trim Var.[/C][C]25436.5378151261[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]177183.343589744[/C][C]Range[/C][C]1967[/C][C]Trim Var.[/C][C]103097.507142857[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105965&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)1776.421076436Range198Trim Var.1032.42898889538
V(Y[t],d=1,D=0)2769.8993006993Range252Trim Var.1704.09800362976
V(Y[t],d=2,D=0)8445.38846153846Range375Trim Var.5626.09837092732
V(Y[t],d=3,D=0)28057.8323412698Range687Trim Var.18388.4350649351
V(Y[t],d=0,D=1)2537.44781144781Range234Trim Var.1627.74659863946
V(Y[t],d=1,D=1)4655.4213836478Range336Trim Var.2487.39716312057
V(Y[t],d=2,D=1)14840.8904208999Range638Trim Var.8294.0703052729
V(Y[t],d=3,D=1)51118.7496229261Range1188Trim Var.26720.1628019324
V(Y[t],d=0,D=2)7684.642303433Range341Trim Var.4995.02702702703
V(Y[t],d=1,D=2)16023.2293844367Range580Trim Var.8298.65714285714
V(Y[t],d=2,D=2)51456.7524390244Range1082Trim Var.25436.5378151261
V(Y[t],d=3,D=2)177183.343589744Range1967Trim Var.103097.507142857


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')