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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSun, 06 Jan 2008 13:37:06 -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/Jan/06/t1199651877un4xzlugn86g7x3.htm/, Retrieved Sun, 05 May 2024 06:29:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7889, Retrieved Sun, 05 May 2024 06:29:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInducing time seris Q2 WG
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Variance Reduction Matrix] [CVWS7WGQ2] [2008-01-06 20:37:06] [b523c8d839cc24a05ea912c062a47207] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
59.9
59.9
59.9
60.9
60.9
60.9
61.1
61.1
61.1
60.2
60.2
60.2
60.1
60.1
60.1
59.7
59.7
59.7
60.5
60.5
60.5
59.5
59.5
59.5
59.5
59.5
59.5
59.7
59.7
59.7
60.4
60.4
60.4
60
60
60
59
59
59
59.3
59.3
59.3
59.7
59.7
59.7
60.4
60.4
60.4
59.9
59.9
59.9
60.5
60.5
60.5
60.4
60.4
60.4
60.6
60.6
60.6
60.9
60.9
60.9
61
61
61
61.2
61.2
61.2
61.2
61.2
61.2
60.3
60.3
60.3
60.4
60.4
60.4
61.2
61.2
61.2
62.1
62.1
62.1
61.7
61.7
61.7
61.6
61.6
61.6

Tables (Output of Computation)





Summary of compuational 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 compuational 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=7889&T=0

[TABLE]
[ROW][C]Summary of compuational 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=7889&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7889&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 compuational 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)0.552235955056181Range3.1Trim Var.0.337162837162837
V(Y[t],d=1,D=0)0.105653728294178Range2Trim Var.0.0178504828504829
V(Y[t],d=2,D=0)0.214482758620690Range2Trim Var.0.104
V(Y[t],d=3,D=0)0.65093023255814Range4Trim Var.0.304265087004813
V(Y[t],d=0,D=1)0.51394105894106Range2.6Trim Var.0.332811059907834
V(Y[t],d=1,D=1)0.133250170881750Range2.49999999999999Trim Var.0.0264586160108547
V(Y[t],d=2,D=1)0.270400000000000Range2.800Trim Var.0.135223880597015
V(Y[t],d=3,D=1)0.822162162162161Range4.99999999999999Trim Var.0.410072115384616
V(Y[t],d=0,D=2)1.00204195804196Range3.60000000000001Trim Var.0.622798742138365
V(Y[t],d=1,D=2)0.335250000000000Range4Trim Var.0.0489849624060153
V(Y[t],d=2,D=2)0.684444444444445Range4Trim Var.0.294909090909092
V(Y[t],d=3,D=2)2.08645161290323Range8Trim Var.0.922040531097137

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.552235955056181 & Range & 3.1 & Trim Var. & 0.337162837162837 \tabularnewline
V(Y[t],d=1,D=0) & 0.105653728294178 & Range & 2 & Trim Var. & 0.0178504828504829 \tabularnewline
V(Y[t],d=2,D=0) & 0.214482758620690 & Range & 2 & Trim Var. & 0.104 \tabularnewline
V(Y[t],d=3,D=0) & 0.65093023255814 & Range & 4 & Trim Var. & 0.304265087004813 \tabularnewline
V(Y[t],d=0,D=1) & 0.51394105894106 & Range & 2.6 & Trim Var. & 0.332811059907834 \tabularnewline
V(Y[t],d=1,D=1) & 0.133250170881750 & Range & 2.49999999999999 & Trim Var. & 0.0264586160108547 \tabularnewline
V(Y[t],d=2,D=1) & 0.270400000000000 & Range & 2.800 & Trim Var. & 0.135223880597015 \tabularnewline
V(Y[t],d=3,D=1) & 0.822162162162161 & Range & 4.99999999999999 & Trim Var. & 0.410072115384616 \tabularnewline
V(Y[t],d=0,D=2) & 1.00204195804196 & Range & 3.60000000000001 & Trim Var. & 0.622798742138365 \tabularnewline
V(Y[t],d=1,D=2) & 0.335250000000000 & Range & 4 & Trim Var. & 0.0489849624060153 \tabularnewline
V(Y[t],d=2,D=2) & 0.684444444444445 & Range & 4 & Trim Var. & 0.294909090909092 \tabularnewline
V(Y[t],d=3,D=2) & 2.08645161290323 & Range & 8 & Trim Var. & 0.922040531097137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7889&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.552235955056181[/C][C]Range[/C][C]3.1[/C][C]Trim Var.[/C][C]0.337162837162837[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.105653728294178[/C][C]Range[/C][C]2[/C][C]Trim Var.[/C][C]0.0178504828504829[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.214482758620690[/C][C]Range[/C][C]2[/C][C]Trim Var.[/C][C]0.104[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.65093023255814[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0.304265087004813[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.51394105894106[/C][C]Range[/C][C]2.6[/C][C]Trim Var.[/C][C]0.332811059907834[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.133250170881750[/C][C]Range[/C][C]2.49999999999999[/C][C]Trim Var.[/C][C]0.0264586160108547[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.270400000000000[/C][C]Range[/C][C]2.800[/C][C]Trim Var.[/C][C]0.135223880597015[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.822162162162161[/C][C]Range[/C][C]4.99999999999999[/C][C]Trim Var.[/C][C]0.410072115384616[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.00204195804196[/C][C]Range[/C][C]3.60000000000001[/C][C]Trim Var.[/C][C]0.622798742138365[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.335250000000000[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0.0489849624060153[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.684444444444445[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0.294909090909092[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2.08645161290323[/C][C]Range[/C][C]8[/C][C]Trim Var.[/C][C]0.922040531097137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7889&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7889&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)0.552235955056181Range3.1Trim Var.0.337162837162837
V(Y[t],d=1,D=0)0.105653728294178Range2Trim Var.0.0178504828504829
V(Y[t],d=2,D=0)0.214482758620690Range2Trim Var.0.104
V(Y[t],d=3,D=0)0.65093023255814Range4Trim Var.0.304265087004813
V(Y[t],d=0,D=1)0.51394105894106Range2.6Trim Var.0.332811059907834
V(Y[t],d=1,D=1)0.133250170881750Range2.49999999999999Trim Var.0.0264586160108547
V(Y[t],d=2,D=1)0.270400000000000Range2.800Trim Var.0.135223880597015
V(Y[t],d=3,D=1)0.822162162162161Range4.99999999999999Trim Var.0.410072115384616
V(Y[t],d=0,D=2)1.00204195804196Range3.60000000000001Trim Var.0.622798742138365
V(Y[t],d=1,D=2)0.335250000000000Range4Trim Var.0.0489849624060153
V(Y[t],d=2,D=2)0.684444444444445Range4Trim Var.0.294909090909092
V(Y[t],d=3,D=2)2.08645161290323Range8Trim Var.0.922040531097137


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')