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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 computationTue, 07 Dec 2010 08:53:07 +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/07/t12917118589sr7xns8msgbbvd.htm/, Retrieved Sat, 04 May 2024 02:09:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106025, Retrieved Sat, 04 May 2024 02:09:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132

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] [workshop 9: varia...] [2010-12-04 15:36:23] [87d60b8864dc39f7ed759c345edfb471]
-    D    [Variance Reduction Matrix] [] [2010-12-07 08:53:07] [1638ccfec791c539017705f3e680eb33] [Current]
-    D      [Variance Reduction Matrix] [computation 5] [2010-12-07 19:17:05] [dc30d19c3bc2be07fe595ad36c2cf923]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
45
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 time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106025&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]0 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=106025&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106025&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)145.912363067293Range52Trim Var.88.0962453728186
V(Y[t],d=1,D=0)272.290945674044Range73Trim Var.176.963133640553
V(Y[t],d=2,D=0)727.209937888199Range111Trim Var.483.549726775956
V(Y[t],d=3,D=0)2183.98252344416Range208Trim Var.1418.17978142077
V(Y[t],d=0,D=1)131.738983050847Range55Trim Var.79.1821480406386
V(Y[t],d=1,D=1)264.774400935126Range64Trim Var.202.414368650218
V(Y[t],d=2,D=1)799.094978826376Range112Trim Var.587.843137254902
V(Y[t],d=3,D=1)2655.45927318296Range210Trim Var.2009.92313725490
V(Y[t],d=0,D=2)391.515957446808Range98Trim Var.210.702090592334
V(Y[t],d=1,D=2)833.027752081406Range101Trim Var.597
V(Y[t],d=2,D=2)2530.91062801932Range198Trim Var.1816.76346153846
V(Y[t],d=3,D=2)8308.98181818182Range332Trim Var.5960.75438596491

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 145.912363067293 & Range & 52 & Trim Var. & 88.0962453728186 \tabularnewline
V(Y[t],d=1,D=0) & 272.290945674044 & Range & 73 & Trim Var. & 176.963133640553 \tabularnewline
V(Y[t],d=2,D=0) & 727.209937888199 & Range & 111 & Trim Var. & 483.549726775956 \tabularnewline
V(Y[t],d=3,D=0) & 2183.98252344416 & Range & 208 & Trim Var. & 1418.17978142077 \tabularnewline
V(Y[t],d=0,D=1) & 131.738983050847 & Range & 55 & Trim Var. & 79.1821480406386 \tabularnewline
V(Y[t],d=1,D=1) & 264.774400935126 & Range & 64 & Trim Var. & 202.414368650218 \tabularnewline
V(Y[t],d=2,D=1) & 799.094978826376 & Range & 112 & Trim Var. & 587.843137254902 \tabularnewline
V(Y[t],d=3,D=1) & 2655.45927318296 & Range & 210 & Trim Var. & 2009.92313725490 \tabularnewline
V(Y[t],d=0,D=2) & 391.515957446808 & Range & 98 & Trim Var. & 210.702090592334 \tabularnewline
V(Y[t],d=1,D=2) & 833.027752081406 & Range & 101 & Trim Var. & 597 \tabularnewline
V(Y[t],d=2,D=2) & 2530.91062801932 & Range & 198 & Trim Var. & 1816.76346153846 \tabularnewline
V(Y[t],d=3,D=2) & 8308.98181818182 & Range & 332 & Trim Var. & 5960.75438596491 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106025&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]145.912363067293[/C][C]Range[/C][C]52[/C][C]Trim Var.[/C][C]88.0962453728186[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]272.290945674044[/C][C]Range[/C][C]73[/C][C]Trim Var.[/C][C]176.963133640553[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]727.209937888199[/C][C]Range[/C][C]111[/C][C]Trim Var.[/C][C]483.549726775956[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2183.98252344416[/C][C]Range[/C][C]208[/C][C]Trim Var.[/C][C]1418.17978142077[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]131.738983050847[/C][C]Range[/C][C]55[/C][C]Trim Var.[/C][C]79.1821480406386[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]264.774400935126[/C][C]Range[/C][C]64[/C][C]Trim Var.[/C][C]202.414368650218[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]799.094978826376[/C][C]Range[/C][C]112[/C][C]Trim Var.[/C][C]587.843137254902[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2655.45927318296[/C][C]Range[/C][C]210[/C][C]Trim Var.[/C][C]2009.92313725490[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]391.515957446808[/C][C]Range[/C][C]98[/C][C]Trim Var.[/C][C]210.702090592334[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]833.027752081406[/C][C]Range[/C][C]101[/C][C]Trim Var.[/C][C]597[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2530.91062801932[/C][C]Range[/C][C]198[/C][C]Trim Var.[/C][C]1816.76346153846[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]8308.98181818182[/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=106025&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106025&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)145.912363067293Range52Trim Var.88.0962453728186
V(Y[t],d=1,D=0)272.290945674044Range73Trim Var.176.963133640553
V(Y[t],d=2,D=0)727.209937888199Range111Trim Var.483.549726775956
V(Y[t],d=3,D=0)2183.98252344416Range208Trim Var.1418.17978142077
V(Y[t],d=0,D=1)131.738983050847Range55Trim Var.79.1821480406386
V(Y[t],d=1,D=1)264.774400935126Range64Trim Var.202.414368650218
V(Y[t],d=2,D=1)799.094978826376Range112Trim Var.587.843137254902
V(Y[t],d=3,D=1)2655.45927318296Range210Trim Var.2009.92313725490
V(Y[t],d=0,D=2)391.515957446808Range98Trim Var.210.702090592334
V(Y[t],d=1,D=2)833.027752081406Range101Trim Var.597
V(Y[t],d=2,D=2)2530.91062801932Range198Trim Var.1816.76346153846
V(Y[t],d=3,D=2)8308.98181818182Range332Trim Var.5960.75438596491


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')