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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 computationSun, 14 Dec 2008 12:54:08 -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/2008/Dec/14/t1229284484kophulr60807ky1.htm/, Retrieved Wed, 15 May 2024 21:23:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33548, Retrieved Wed, 15 May 2024 21:23:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact188

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Mean Plot] [Mean plot vervaar...] [2007-11-09 12:25:12] [74be16979710d4c4e7c6647856088456]
- R  D  [Mean Plot] [Mean plot Vlaams ...] [2008-12-13 21:24:44] [005293453b571dbccb80b45226e44173]
- RMPD    [Variance Reduction Matrix] [Variance Reductio...] [2008-12-14 16:50:50] [005293453b571dbccb80b45226e44173]
-    D      [Variance Reduction Matrix] [Variance Reductio...] [2008-12-14 17:00:55] [005293453b571dbccb80b45226e44173]
-   PD          [Variance Reduction Matrix] [variance reductio...] [2008-12-14 19:54:08] [b0654df83a8a0e1de3ceb7bf60f0d58f] [Current]
-    D            [Variance Reduction Matrix] [variance reductio...] [2008-12-14 19:55:58] [005293453b571dbccb80b45226e44173]
-    D              [Variance Reduction Matrix] [variance reductio...] [2008-12-14 20:04:12] [005293453b571dbccb80b45226e44173]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
258778
252791
256389
258961
258647
256304
250498
247883
249552
262626
264416
273049
272441
267564
265952
263937
264765
263386
258985
257334
257477
271486
274488
281274
272674
269704
268227
276444
272247
268516
263406
263619
265905
281681
287413
289423
281242
273878
269022
272630
270287
260447
262248
252806
238663
258438
266719
263279
258064
248828
248284
253376
251846
239494
239709
228793
229521
249999
254016
251178

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=33548&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=33548&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33548&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)160038597.203107Range60630Trim Var.93698292.5803634
V(Y[t],d=1,D=0)52428941.2232613Range34621Trim Var.28804834.2220610
V(Y[t],d=2,D=0)90636001.930127Range50379Trim Var.54197548.9803922
V(Y[t],d=3,D=0)236250497.998120Range84031Trim Var.133697976.843137
V(Y[t],d=0,D=1)178422123.359929Range42015Trim Var.144239181.531359
V(Y[t],d=1,D=1)24660841.4921369Range31300Trim Var.8355354.5402439
V(Y[t],d=2,D=1)54289380.6202899Range36994Trim Var.22580515.3205128
V(Y[t],d=3,D=1)159921186.158586Range57715Trim Var.80644810.2807018
V(Y[t],d=0,D=2)217461092.428571Range53770Trim Var.159972354.902218
V(Y[t],d=1,D=2)76120106.4084034Range49872Trim Var.27938226.5032258
V(Y[t],d=2,D=2)154567472.072193Range57715Trim Var.84464331.4436782
V(Y[t],d=3,D=2)438384328.217803Range90762Trim Var.269784837.399015

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 160038597.203107 & Range & 60630 & Trim Var. & 93698292.5803634 \tabularnewline
V(Y[t],d=1,D=0) & 52428941.2232613 & Range & 34621 & Trim Var. & 28804834.2220610 \tabularnewline
V(Y[t],d=2,D=0) & 90636001.930127 & Range & 50379 & Trim Var. & 54197548.9803922 \tabularnewline
V(Y[t],d=3,D=0) & 236250497.998120 & Range & 84031 & Trim Var. & 133697976.843137 \tabularnewline
V(Y[t],d=0,D=1) & 178422123.359929 & Range & 42015 & Trim Var. & 144239181.531359 \tabularnewline
V(Y[t],d=1,D=1) & 24660841.4921369 & Range & 31300 & Trim Var. & 8355354.5402439 \tabularnewline
V(Y[t],d=2,D=1) & 54289380.6202899 & Range & 36994 & Trim Var. & 22580515.3205128 \tabularnewline
V(Y[t],d=3,D=1) & 159921186.158586 & Range & 57715 & Trim Var. & 80644810.2807018 \tabularnewline
V(Y[t],d=0,D=2) & 217461092.428571 & Range & 53770 & Trim Var. & 159972354.902218 \tabularnewline
V(Y[t],d=1,D=2) & 76120106.4084034 & Range & 49872 & Trim Var. & 27938226.5032258 \tabularnewline
V(Y[t],d=2,D=2) & 154567472.072193 & Range & 57715 & Trim Var. & 84464331.4436782 \tabularnewline
V(Y[t],d=3,D=2) & 438384328.217803 & Range & 90762 & Trim Var. & 269784837.399015 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33548&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]160038597.203107[/C][C]Range[/C][C]60630[/C][C]Trim Var.[/C][C]93698292.5803634[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]52428941.2232613[/C][C]Range[/C][C]34621[/C][C]Trim Var.[/C][C]28804834.2220610[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]90636001.930127[/C][C]Range[/C][C]50379[/C][C]Trim Var.[/C][C]54197548.9803922[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]236250497.998120[/C][C]Range[/C][C]84031[/C][C]Trim Var.[/C][C]133697976.843137[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]178422123.359929[/C][C]Range[/C][C]42015[/C][C]Trim Var.[/C][C]144239181.531359[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]24660841.4921369[/C][C]Range[/C][C]31300[/C][C]Trim Var.[/C][C]8355354.5402439[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]54289380.6202899[/C][C]Range[/C][C]36994[/C][C]Trim Var.[/C][C]22580515.3205128[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]159921186.158586[/C][C]Range[/C][C]57715[/C][C]Trim Var.[/C][C]80644810.2807018[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]217461092.428571[/C][C]Range[/C][C]53770[/C][C]Trim Var.[/C][C]159972354.902218[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]76120106.4084034[/C][C]Range[/C][C]49872[/C][C]Trim Var.[/C][C]27938226.5032258[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]154567472.072193[/C][C]Range[/C][C]57715[/C][C]Trim Var.[/C][C]84464331.4436782[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]438384328.217803[/C][C]Range[/C][C]90762[/C][C]Trim Var.[/C][C]269784837.399015[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33548&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33548&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)160038597.203107Range60630Trim Var.93698292.5803634
V(Y[t],d=1,D=0)52428941.2232613Range34621Trim Var.28804834.2220610
V(Y[t],d=2,D=0)90636001.930127Range50379Trim Var.54197548.9803922
V(Y[t],d=3,D=0)236250497.998120Range84031Trim Var.133697976.843137
V(Y[t],d=0,D=1)178422123.359929Range42015Trim Var.144239181.531359
V(Y[t],d=1,D=1)24660841.4921369Range31300Trim Var.8355354.5402439
V(Y[t],d=2,D=1)54289380.6202899Range36994Trim Var.22580515.3205128
V(Y[t],d=3,D=1)159921186.158586Range57715Trim Var.80644810.2807018
V(Y[t],d=0,D=2)217461092.428571Range53770Trim Var.159972354.902218
V(Y[t],d=1,D=2)76120106.4084034Range49872Trim Var.27938226.5032258
V(Y[t],d=2,D=2)154567472.072193Range57715Trim Var.84464331.4436782
V(Y[t],d=3,D=2)438384328.217803Range90762Trim Var.269784837.399015


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')