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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, 05 Dec 2010 16:18:44 +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/05/t1291565800ea14kl8gmoj75j7.htm/, Retrieved Wed, 01 May 2024 20:40:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105443, Retrieved Wed, 01 May 2024 20:40:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

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] [WS 9 VRM] [2010-12-03 14:09:49] [49c7a512c56172bc46ae7e93e5b58c1c]
F           [Variance Reduction Matrix] [WS 9 VRM] [2010-12-05 16:18:44] [b4ba846736d082ffaee409a197f454c7] [Current]
Feedback Forum
2010-12-13 17:59:23 [Stefanie Van Esbroeck] [reply] 
Je maakte ook hier een correcte berekening. Bovendien interpreteerde je de output ook correct. Je geeft nu aan dat je enkel naar de laagste trimmed Variance hebt gekeken maar als je de hele rij gaat bekijken, zal je merken dat je dit ook aan de hand van de Variance en de range had kunnen zien. Die zijn ook bij deze parameters de laagste waarde. Goed uitgewerkt model.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
46
62
66
59
58
61
41
27
58
70
49
59
44
36
72
45
56
54
53
35
61
52
47
51
52
63
74
45
51
64
36
30
55
64
39
40
63
45
59
55
40
64
27
28
45
57
45
69
60
56
58
50
51
53
37
22
55
70
62
58
39
49
58
47
42
62
39
40
72
70
54
65

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=105443&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=105443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105443&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)145.730633802817Range52Trim Var.87.8913273400317
V(Y[t],d=1,D=0)271.827364185111Range73Trim Var.176.435227854583
V(Y[t],d=2,D=0)726.849896480331Range111Trim Var.483.098907103825
V(Y[t],d=3,D=0)2183.95524296675Range208Trim Var.1418.15519125683
V(Y[t],d=0,D=1)131.779378531073Range55Trim Var.79.232946298984
V(Y[t],d=1,D=1)263.924605493863Range64Trim Var.201.459361393324
V(Y[t],d=2,D=1)797.136418632789Range111Trim Var.587.843137254902
V(Y[t],d=3,D=1)2651.60526315789Range209Trim Var.2009.92313725490
V(Y[t],d=0,D=2)391.871897163121Range98Trim Var.211.112659698026
V(Y[t],d=1,D=2)831.144310823312Range100Trim Var.597
V(Y[t],d=2,D=2)2526.44444444444Range197Trim Var.1816.76346153846
V(Y[t],d=3,D=2)8301.16161616162Range332Trim Var.5960.75438596491

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 145.730633802817 & Range & 52 & Trim Var. & 87.8913273400317 \tabularnewline
V(Y[t],d=1,D=0) & 271.827364185111 & Range & 73 & Trim Var. & 176.435227854583 \tabularnewline
V(Y[t],d=2,D=0) & 726.849896480331 & Range & 111 & Trim Var. & 483.098907103825 \tabularnewline
V(Y[t],d=3,D=0) & 2183.95524296675 & Range & 208 & Trim Var. & 1418.15519125683 \tabularnewline
V(Y[t],d=0,D=1) & 131.779378531073 & Range & 55 & Trim Var. & 79.232946298984 \tabularnewline
V(Y[t],d=1,D=1) & 263.924605493863 & Range & 64 & Trim Var. & 201.459361393324 \tabularnewline
V(Y[t],d=2,D=1) & 797.136418632789 & Range & 111 & Trim Var. & 587.843137254902 \tabularnewline
V(Y[t],d=3,D=1) & 2651.60526315789 & Range & 209 & Trim Var. & 2009.92313725490 \tabularnewline
V(Y[t],d=0,D=2) & 391.871897163121 & Range & 98 & Trim Var. & 211.112659698026 \tabularnewline
V(Y[t],d=1,D=2) & 831.144310823312 & Range & 100 & Trim Var. & 597 \tabularnewline
V(Y[t],d=2,D=2) & 2526.44444444444 & Range & 197 & Trim Var. & 1816.76346153846 \tabularnewline
V(Y[t],d=3,D=2) & 8301.16161616162 & Range & 332 & Trim Var. & 5960.75438596491 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105443&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]145.730633802817[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]87.8913273400317[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]271.827364185111[/C][C]Range[/C][C]73[/C][C]Trim Var.[/C][C]176.435227854583[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]726.849896480331[/C][C]Range[/C][C]111[/C][C]Trim Var.[/C][C]483.098907103825[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2183.95524296675[/C][C]Range[/C][C]208[/C][C]Trim Var.[/C][C]1418.15519125683[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]131.779378531073[/C][C]Range[/C][C]55[/C][C]Trim Var.[/C][C]79.232946298984[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]263.924605493863[/C][C]Range[/C][C]64[/C][C]Trim Var.[/C][C]201.459361393324[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]797.136418632789[/C][C]Range[/C][C]111[/C][C]Trim Var.[/C][C]587.843137254902[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2651.60526315789[/C][C]Range[/C][C]209[/C][C]Trim Var.[/C][C]2009.92313725490[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]391.871897163121[/C][C]Range[/C][C]98[/C][C]Trim Var.[/C][C]211.112659698026[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]831.144310823312[/C][C]Range[/C][C]100[/C][C]Trim Var.[/C][C]597[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2526.44444444444[/C][C]Range[/C][C]197[/C][C]Trim Var.[/C][C]1816.76346153846[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]8301.16161616162[/C][C]Range[/C][C]332[/C][C]Trim Var.[/C][C]5960.75438596491[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105443&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)145.730633802817Range52Trim Var.87.8913273400317
V(Y[t],d=1,D=0)271.827364185111Range73Trim Var.176.435227854583
V(Y[t],d=2,D=0)726.849896480331Range111Trim Var.483.098907103825
V(Y[t],d=3,D=0)2183.95524296675Range208Trim Var.1418.15519125683
V(Y[t],d=0,D=1)131.779378531073Range55Trim Var.79.232946298984
V(Y[t],d=1,D=1)263.924605493863Range64Trim Var.201.459361393324
V(Y[t],d=2,D=1)797.136418632789Range111Trim Var.587.843137254902
V(Y[t],d=3,D=1)2651.60526315789Range209Trim Var.2009.92313725490
V(Y[t],d=0,D=2)391.871897163121Range98Trim Var.211.112659698026
V(Y[t],d=1,D=2)831.144310823312Range100Trim Var.597
V(Y[t],d=2,D=2)2526.44444444444Range197Trim Var.1816.76346153846
V(Y[t],d=3,D=2)8301.16161616162Range332Trim Var.5960.75438596491


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')