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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 computationSat, 24 Nov 2007 05:59:07 -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/2007/Nov/24/t1195908663s3fyhcuif13z5im.htm/, Retrieved Fri, 03 May 2024 13:19:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6274, Retrieved Fri, 03 May 2024 13:19:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsG19Q2d
Estimated Impact245

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] [Variance Reductio...] [2007-11-24 12:59:07] [6b5c00822e2ce0f7cf73539c28d95782] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
107,97
108,13
108,54
109,86
109,75
109,99
112,01
111,96
111,41
112,11
111,67
111,95
112,31
113,26
113,5
114,43
115,02
115,1
117,11
117,52
116,1
116,39
116,01
116,74
116,68
117,45
117,8
119,37
118,9
119,05
120,46
120,99
119,86
120,18
119,81
120,15
119,8
120,27
120,71
121,87
121,87
121,92
123,72
124,38
123,21
123,17
122,95
123,46
123,24
123,86
124,28
124,78
125,19
125,46
127,6
127,8
126,63
127,06
126,77
127,05

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=6274&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=6274&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6274&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)31.2966728531073Range19.83Trim Var.24.2452211390636
V(Y[t],d=1,D=0)0.55658486265342Range3.56Trim Var.0.302975253991292
V(Y[t],d=2,D=0)1.2673219600726Range4.00000000000003Trim Var.0.973149132730017
V(Y[t],d=3,D=0)3.74943934837095Range7.39000000000004Trim Var.2.74152517647060
V(Y[t],d=0,D=1)0.564145700354611Range3.06Trim Var.0.391313356562137
V(Y[t],d=1,D=1)0.157668085106382Range1.84999999999999Trim Var.0.0855712195121946
V(Y[t],d=2,D=1)0.383981835748789Range2.82999999999997Trim Var.0.207918974358972
V(Y[t],d=3,D=1)1.17467222222221Range5.05999999999996Trim Var.0.672160728744928
V(Y[t],d=0,D=2)0.764996428571428Range3.34000000000000Trim Var.0.540278931451611
V(Y[t],d=1,D=2)0.436097478991592Range3.28999999999996Trim Var.0.23126946236559
V(Y[t],d=2,D=2)1.08633163992868Range5.36999999999995Trim Var.0.502065402298846
V(Y[t],d=3,D=2)3.41645416666659Range9.05999999999989Trim Var.1.51857389162559

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 31.2966728531073 & Range & 19.83 & Trim Var. & 24.2452211390636 \tabularnewline
V(Y[t],d=1,D=0) & 0.55658486265342 & Range & 3.56 & Trim Var. & 0.302975253991292 \tabularnewline
V(Y[t],d=2,D=0) & 1.2673219600726 & Range & 4.00000000000003 & Trim Var. & 0.973149132730017 \tabularnewline
V(Y[t],d=3,D=0) & 3.74943934837095 & Range & 7.39000000000004 & Trim Var. & 2.74152517647060 \tabularnewline
V(Y[t],d=0,D=1) & 0.564145700354611 & Range & 3.06 & Trim Var. & 0.391313356562137 \tabularnewline
V(Y[t],d=1,D=1) & 0.157668085106382 & Range & 1.84999999999999 & Trim Var. & 0.0855712195121946 \tabularnewline
V(Y[t],d=2,D=1) & 0.383981835748789 & Range & 2.82999999999997 & Trim Var. & 0.207918974358972 \tabularnewline
V(Y[t],d=3,D=1) & 1.17467222222221 & Range & 5.05999999999996 & Trim Var. & 0.672160728744928 \tabularnewline
V(Y[t],d=0,D=2) & 0.764996428571428 & Range & 3.34000000000000 & Trim Var. & 0.540278931451611 \tabularnewline
V(Y[t],d=1,D=2) & 0.436097478991592 & Range & 3.28999999999996 & Trim Var. & 0.23126946236559 \tabularnewline
V(Y[t],d=2,D=2) & 1.08633163992868 & Range & 5.36999999999995 & Trim Var. & 0.502065402298846 \tabularnewline
V(Y[t],d=3,D=2) & 3.41645416666659 & Range & 9.05999999999989 & Trim Var. & 1.51857389162559 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6274&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]31.2966728531073[/C][C]Range[/C][C]19.83[/C][C]Trim Var.[/C][C]24.2452211390636[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.55658486265342[/C][C]Range[/C][C]3.56[/C][C]Trim Var.[/C][C]0.302975253991292[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1.2673219600726[/C][C]Range[/C][C]4.00000000000003[/C][C]Trim Var.[/C][C]0.973149132730017[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]3.74943934837095[/C][C]Range[/C][C]7.39000000000004[/C][C]Trim Var.[/C][C]2.74152517647060[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.564145700354611[/C][C]Range[/C][C]3.06[/C][C]Trim Var.[/C][C]0.391313356562137[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.157668085106382[/C][C]Range[/C][C]1.84999999999999[/C][C]Trim Var.[/C][C]0.0855712195121946[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.383981835748789[/C][C]Range[/C][C]2.82999999999997[/C][C]Trim Var.[/C][C]0.207918974358972[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1.17467222222221[/C][C]Range[/C][C]5.05999999999996[/C][C]Trim Var.[/C][C]0.672160728744928[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.764996428571428[/C][C]Range[/C][C]3.34000000000000[/C][C]Trim Var.[/C][C]0.540278931451611[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.436097478991592[/C][C]Range[/C][C]3.28999999999996[/C][C]Trim Var.[/C][C]0.23126946236559[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1.08633163992868[/C][C]Range[/C][C]5.36999999999995[/C][C]Trim Var.[/C][C]0.502065402298846[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3.41645416666659[/C][C]Range[/C][C]9.05999999999989[/C][C]Trim Var.[/C][C]1.51857389162559[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6274&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6274&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)31.2966728531073Range19.83Trim Var.24.2452211390636
V(Y[t],d=1,D=0)0.55658486265342Range3.56Trim Var.0.302975253991292
V(Y[t],d=2,D=0)1.2673219600726Range4.00000000000003Trim Var.0.973149132730017
V(Y[t],d=3,D=0)3.74943934837095Range7.39000000000004Trim Var.2.74152517647060
V(Y[t],d=0,D=1)0.564145700354611Range3.06Trim Var.0.391313356562137
V(Y[t],d=1,D=1)0.157668085106382Range1.84999999999999Trim Var.0.0855712195121946
V(Y[t],d=2,D=1)0.383981835748789Range2.82999999999997Trim Var.0.207918974358972
V(Y[t],d=3,D=1)1.17467222222221Range5.05999999999996Trim Var.0.672160728744928
V(Y[t],d=0,D=2)0.764996428571428Range3.34000000000000Trim Var.0.540278931451611
V(Y[t],d=1,D=2)0.436097478991592Range3.28999999999996Trim Var.0.23126946236559
V(Y[t],d=2,D=2)1.08633163992868Range5.36999999999995Trim Var.0.502065402298846
V(Y[t],d=3,D=2)3.41645416666659Range9.05999999999989Trim Var.1.51857389162559


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')