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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 14:44:48 +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/t1292856170v5jka03rkjez69w.htm/, Retrieved Sat, 04 May 2024 00:52:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112975, Retrieved Sat, 04 May 2024 00:52:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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 Whisky] [2010-12-20 14:44:48] [47bfda5353cd53c1cf7ea7aa9038654a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16,46
16,49
16,59
16,58
16,60
16,55
16,57
16,51
16,50
16,49
16,44
16,26
16,33
16,72
16,75
16,74
16,84
16,79
16,66
16,69
16,84
16,86
16,76
16,72
16,29
16,29
16,46
16,54
16,70
16,82
16,88
16,89
16,92
16,88
16,91
16,80
16,78
17,03
17,18
17,12
17,11
17,14
17,17
17,21
17,22
17,19
17,15
17,10
17,21
17,33
17,30
17,33
17,35
17,43
17,46
17,50
17,54
17,56
17,44
17,41
17,72
17,79
17,83
17,76
17,95
17,91
17,96
17,98
17,89
17,88
17,91
17,51
17,63

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=112975&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=112975&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112975&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)0.238232305936073Range1.72Trim Var.0.172390376984127
V(Y[t],d=1,D=0)0.0143702464788731Range0.82Trim Var.0.00439541170634915
V(Y[t],d=2,D=0)0.0272026559356134Range0.949999999999996Trim Var.0.0113974398361493
V(Y[t],d=3,D=0)0.0703711180124217Range1.63Trim Var.0.0285596245372815
V(Y[t],d=0,D=1)0.0515139344262295Range1.17Trim Var.0.024500145137881
V(Y[t],d=1,D=1)0.0247419209039546Range0.909999999999997Trim Var.0.0105499650593988
V(Y[t],d=2,D=1)0.0419822910578602Range1.16999999999999Trim Var.0.0190367924528297
V(Y[t],d=3,D=1)0.109731306715061Range1.57999999999998Trim Var.0.061756372549018
V(Y[t],d=0,D=2)0.141764540816326Range1.83Trim Var.0.0646023255813953
V(Y[t],d=1,D=2)0.0723613031914888Range1.66Trim Var.0.0284060975609752
V(Y[t],d=2,D=2)0.11148353376503Range1.91999999999999Trim Var.0.0393648780487792
V(Y[t],d=3,D=2)0.2647458937198Range2.89999999999997Trim Var.0.11682506410256

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.238232305936073 & Range & 1.72 & Trim Var. & 0.172390376984127 \tabularnewline
V(Y[t],d=1,D=0) & 0.0143702464788731 & Range & 0.82 & Trim Var. & 0.00439541170634915 \tabularnewline
V(Y[t],d=2,D=0) & 0.0272026559356134 & Range & 0.949999999999996 & Trim Var. & 0.0113974398361493 \tabularnewline
V(Y[t],d=3,D=0) & 0.0703711180124217 & Range & 1.63 & Trim Var. & 0.0285596245372815 \tabularnewline
V(Y[t],d=0,D=1) & 0.0515139344262295 & Range & 1.17 & Trim Var. & 0.024500145137881 \tabularnewline
V(Y[t],d=1,D=1) & 0.0247419209039546 & Range & 0.909999999999997 & Trim Var. & 0.0105499650593988 \tabularnewline
V(Y[t],d=2,D=1) & 0.0419822910578602 & Range & 1.16999999999999 & Trim Var. & 0.0190367924528297 \tabularnewline
V(Y[t],d=3,D=1) & 0.109731306715061 & Range & 1.57999999999998 & Trim Var. & 0.061756372549018 \tabularnewline
V(Y[t],d=0,D=2) & 0.141764540816326 & Range & 1.83 & Trim Var. & 0.0646023255813953 \tabularnewline
V(Y[t],d=1,D=2) & 0.0723613031914888 & Range & 1.66 & Trim Var. & 0.0284060975609752 \tabularnewline
V(Y[t],d=2,D=2) & 0.11148353376503 & Range & 1.91999999999999 & Trim Var. & 0.0393648780487792 \tabularnewline
V(Y[t],d=3,D=2) & 0.2647458937198 & Range & 2.89999999999997 & Trim Var. & 0.11682506410256 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112975&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.238232305936073[/C][C]Range[/C][C]1.72[/C][C]Trim Var.[/C][C]0.172390376984127[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0143702464788731[/C][C]Range[/C][C]0.82[/C][C]Trim Var.[/C][C]0.00439541170634915[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0272026559356134[/C][C]Range[/C][C]0.949999999999996[/C][C]Trim Var.[/C][C]0.0113974398361493[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.0703711180124217[/C][C]Range[/C][C]1.63[/C][C]Trim Var.[/C][C]0.0285596245372815[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.0515139344262295[/C][C]Range[/C][C]1.17[/C][C]Trim Var.[/C][C]0.024500145137881[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0247419209039546[/C][C]Range[/C][C]0.909999999999997[/C][C]Trim Var.[/C][C]0.0105499650593988[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0419822910578602[/C][C]Range[/C][C]1.16999999999999[/C][C]Trim Var.[/C][C]0.0190367924528297[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.109731306715061[/C][C]Range[/C][C]1.57999999999998[/C][C]Trim Var.[/C][C]0.061756372549018[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.141764540816326[/C][C]Range[/C][C]1.83[/C][C]Trim Var.[/C][C]0.0646023255813953[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.0723613031914888[/C][C]Range[/C][C]1.66[/C][C]Trim Var.[/C][C]0.0284060975609752[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.11148353376503[/C][C]Range[/C][C]1.91999999999999[/C][C]Trim Var.[/C][C]0.0393648780487792[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.2647458937198[/C][C]Range[/C][C]2.89999999999997[/C][C]Trim Var.[/C][C]0.11682506410256[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112975&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112975&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)0.238232305936073Range1.72Trim Var.0.172390376984127
V(Y[t],d=1,D=0)0.0143702464788731Range0.82Trim Var.0.00439541170634915
V(Y[t],d=2,D=0)0.0272026559356134Range0.949999999999996Trim Var.0.0113974398361493
V(Y[t],d=3,D=0)0.0703711180124217Range1.63Trim Var.0.0285596245372815
V(Y[t],d=0,D=1)0.0515139344262295Range1.17Trim Var.0.024500145137881
V(Y[t],d=1,D=1)0.0247419209039546Range0.909999999999997Trim Var.0.0105499650593988
V(Y[t],d=2,D=1)0.0419822910578602Range1.16999999999999Trim Var.0.0190367924528297
V(Y[t],d=3,D=1)0.109731306715061Range1.57999999999998Trim Var.0.061756372549018
V(Y[t],d=0,D=2)0.141764540816326Range1.83Trim Var.0.0646023255813953
V(Y[t],d=1,D=2)0.0723613031914888Range1.66Trim Var.0.0284060975609752
V(Y[t],d=2,D=2)0.11148353376503Range1.91999999999999Trim Var.0.0393648780487792
V(Y[t],d=3,D=2)0.2647458937198Range2.89999999999997Trim Var.0.11682506410256


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')