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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, 20 Dec 2010 14:47:11 +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/20/t1292856350xckyf9filxr82mz.htm/, Retrieved Fri, 03 May 2024 22:13:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112977, Retrieved Fri, 03 May 2024 22:13:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115

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] [test 3] [2010-12-05 10:39:08] [74be16979710d4c4e7c6647856088456]
-         [Variance Reduction Matrix] [W9 - Blog 6] [2010-12-06 15:39:24] [1aa8d85d6b335d32b1f6be940e33a166]
-   PD        [Variance Reduction Matrix] [VRM Likeur] [2010-12-20 14:47:11] [47bfda5353cd53c1cf7ea7aa9038654a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
25,00
25,09
25,03
25,21
25,33
25,23
25,13
25,03
25,03
25,15
25,18
24,90
25,18
25,25
25,28
25,32
25,27
25,22
25,14
25,41
25,72
25,66
25,65
25,27
23,90
24,06
24,33
24,39
24,39
24,49
24,83
25,08
25,11
25,13
25,17
25,11
25,35
25,36
25,35
25,34
25,39
25,58
25,71
25,66
25,74
25,73
25,72
25,55
25,71
25,92
25,93
26,00
26,02
26,08
26,17
26,18
26,21
26,28
26,34
26,17
26,38
26,36
26,27
26,26
26,49
26,99
27,14
27,10
27,01
26,93
26,97
26,35
26,93

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112977&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112977&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112977&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.525579185692542Range3.24Trim Var.0.309426959325397
V(Y[t],d=1,D=0)0.0579093701095461Range1.95Trim Var.0.0119712053571428
V(Y[t],d=2,D=0)0.105804547283702Range2.52Trim Var.0.023732155657962
V(Y[t],d=3,D=0)0.264687888198757Range3.94Trim Var.0.0612253833950287
V(Y[t],d=0,D=1)0.362844754098361Range2.73Trim Var.0.199192525399129
V(Y[t],d=1,D=1)0.121315564971751Range3.26000000000001Trim Var.0.0222855345911947
V(Y[t],d=2,D=1)0.225557276446523Range3.50000000000001Trim Var.0.0380465166908558
V(Y[t],d=3,D=1)0.615926467029645Range6.34000000000002Trim Var.0.117915045248868
V(Y[t],d=0,D=2)1.04789583333333Range4.19Trim Var.0.653215836101883
V(Y[t],d=1,D=2)0.36430195035461Range4.95000000000001Trim Var.0.0592585365853654
V(Y[t],d=2,D=2)0.68155568917669Range6.34000000000002Trim Var.0.0985269512195107
V(Y[t],d=3,D=2)1.89895811594204Range9.64000000000004Trim Var.0.310697179487175

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.525579185692542 & Range & 3.24 & Trim Var. & 0.309426959325397 \tabularnewline
V(Y[t],d=1,D=0) & 0.0579093701095461 & Range & 1.95 & Trim Var. & 0.0119712053571428 \tabularnewline
V(Y[t],d=2,D=0) & 0.105804547283702 & Range & 2.52 & Trim Var. & 0.023732155657962 \tabularnewline
V(Y[t],d=3,D=0) & 0.264687888198757 & Range & 3.94 & Trim Var. & 0.0612253833950287 \tabularnewline
V(Y[t],d=0,D=1) & 0.362844754098361 & Range & 2.73 & Trim Var. & 0.199192525399129 \tabularnewline
V(Y[t],d=1,D=1) & 0.121315564971751 & Range & 3.26000000000001 & Trim Var. & 0.0222855345911947 \tabularnewline
V(Y[t],d=2,D=1) & 0.225557276446523 & Range & 3.50000000000001 & Trim Var. & 0.0380465166908558 \tabularnewline
V(Y[t],d=3,D=1) & 0.615926467029645 & Range & 6.34000000000002 & Trim Var. & 0.117915045248868 \tabularnewline
V(Y[t],d=0,D=2) & 1.04789583333333 & Range & 4.19 & Trim Var. & 0.653215836101883 \tabularnewline
V(Y[t],d=1,D=2) & 0.36430195035461 & Range & 4.95000000000001 & Trim Var. & 0.0592585365853654 \tabularnewline
V(Y[t],d=2,D=2) & 0.68155568917669 & Range & 6.34000000000002 & Trim Var. & 0.0985269512195107 \tabularnewline
V(Y[t],d=3,D=2) & 1.89895811594204 & Range & 9.64000000000004 & Trim Var. & 0.310697179487175 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112977&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.525579185692542[/C][C]Range[/C][C]3.24[/C][C]Trim Var.[/C][C]0.309426959325397[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0579093701095461[/C][C]Range[/C][C]1.95[/C][C]Trim Var.[/C][C]0.0119712053571428[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.105804547283702[/C][C]Range[/C][C]2.52[/C][C]Trim Var.[/C][C]0.023732155657962[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.264687888198757[/C][C]Range[/C][C]3.94[/C][C]Trim Var.[/C][C]0.0612253833950287[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.362844754098361[/C][C]Range[/C][C]2.73[/C][C]Trim Var.[/C][C]0.199192525399129[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.121315564971751[/C][C]Range[/C][C]3.26000000000001[/C][C]Trim Var.[/C][C]0.0222855345911947[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.225557276446523[/C][C]Range[/C][C]3.50000000000001[/C][C]Trim Var.[/C][C]0.0380465166908558[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.615926467029645[/C][C]Range[/C][C]6.34000000000002[/C][C]Trim Var.[/C][C]0.117915045248868[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.04789583333333[/C][C]Range[/C][C]4.19[/C][C]Trim Var.[/C][C]0.653215836101883[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.36430195035461[/C][C]Range[/C][C]4.95000000000001[/C][C]Trim Var.[/C][C]0.0592585365853654[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.68155568917669[/C][C]Range[/C][C]6.34000000000002[/C][C]Trim Var.[/C][C]0.0985269512195107[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1.89895811594204[/C][C]Range[/C][C]9.64000000000004[/C][C]Trim Var.[/C][C]0.310697179487175[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112977&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112977&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)0.525579185692542Range3.24Trim Var.0.309426959325397
V(Y[t],d=1,D=0)0.0579093701095461Range1.95Trim Var.0.0119712053571428
V(Y[t],d=2,D=0)0.105804547283702Range2.52Trim Var.0.023732155657962
V(Y[t],d=3,D=0)0.264687888198757Range3.94Trim Var.0.0612253833950287
V(Y[t],d=0,D=1)0.362844754098361Range2.73Trim Var.0.199192525399129
V(Y[t],d=1,D=1)0.121315564971751Range3.26000000000001Trim Var.0.0222855345911947
V(Y[t],d=2,D=1)0.225557276446523Range3.50000000000001Trim Var.0.0380465166908558
V(Y[t],d=3,D=1)0.615926467029645Range6.34000000000002Trim Var.0.117915045248868
V(Y[t],d=0,D=2)1.04789583333333Range4.19Trim Var.0.653215836101883
V(Y[t],d=1,D=2)0.36430195035461Range4.95000000000001Trim Var.0.0592585365853654
V(Y[t],d=2,D=2)0.68155568917669Range6.34000000000002Trim Var.0.0985269512195107
V(Y[t],d=3,D=2)1.89895811594204Range9.64000000000004Trim Var.0.310697179487175


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')