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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, 14 Dec 2008 08:44:05 -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/Dec/14/t1229269479wqjdvxaun6ha7im.htm/, Retrieved Wed, 15 May 2024 11:34:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33434, Retrieved Wed, 15 May 2024 11:34:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

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] [Paper: Variance R...] [2008-12-14 15:44:05] [8da7502cfecb272886bc60b3f290b8b8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
17,3
15,4
16,9
20,8
16,4
11,3
17,5
16,6
17,5
19,5
18,8
20,2
19,2
14,4
24,5
25,7
27,1
21
18,6
20
21,8
20,4
18
21,5
19,1
19,7
26
26,3
24,6
22,4
32
24
30
24,1
26,3
29,8
21,9
22,8
29,2
27,5
27,4
31
26,1
22,2
34
26,9
31,9
34,2
31,2
28,5
37,1
36
34,8
32,1
37,2
36,3
39,5
37,1
35,6
36,2
35,9
32,5
39,2
39,4
42,8
34,5
43,7
46,3
40,8
48,4
43,2
48,1
42,8

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33434&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33434&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33434&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)82.428302891933Range37.1Trim Var.59.0439903846154
V(Y[t],d=1,D=0)21.4027992957746Range20.1Trim Var.13.6638070436508
V(Y[t],d=2,D=0)64.4948169014085Range36.4Trim Var.41.4731694828469
V(Y[t],d=3,D=0)213.689242236025Range66.2Trim Var.131.228358011634
V(Y[t],d=0,D=1)16.9993661202186Range20Trim Var.10.0360957910015
V(Y[t],d=1,D=1)26.9180225988701Range26.5Trim Var.16.4094199860238
V(Y[t],d=2,D=1)80.4492285213326Range40.1Trim Var.50.9047750362845
V(Y[t],d=3,D=1)264.580012099214Range71.3Trim Var.173.444886877828
V(Y[t],d=0,D=2)46.7299659863946Range36.3Trim Var.22.3211074197121
V(Y[t],d=1,D=2)71.9615425531915Range51Trim Var.27.1292973286876
V(Y[t],d=2,D=2)199.397243293247Range72.3Trim Var.82.5900609756097
V(Y[t],d=3,D=2)625.162550724638Range130.6Trim Var.262.402846153846

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 82.428302891933 & Range & 37.1 & Trim Var. & 59.0439903846154 \tabularnewline
V(Y[t],d=1,D=0) & 21.4027992957746 & Range & 20.1 & Trim Var. & 13.6638070436508 \tabularnewline
V(Y[t],d=2,D=0) & 64.4948169014085 & Range & 36.4 & Trim Var. & 41.4731694828469 \tabularnewline
V(Y[t],d=3,D=0) & 213.689242236025 & Range & 66.2 & Trim Var. & 131.228358011634 \tabularnewline
V(Y[t],d=0,D=1) & 16.9993661202186 & Range & 20 & Trim Var. & 10.0360957910015 \tabularnewline
V(Y[t],d=1,D=1) & 26.9180225988701 & Range & 26.5 & Trim Var. & 16.4094199860238 \tabularnewline
V(Y[t],d=2,D=1) & 80.4492285213326 & Range & 40.1 & Trim Var. & 50.9047750362845 \tabularnewline
V(Y[t],d=3,D=1) & 264.580012099214 & Range & 71.3 & Trim Var. & 173.444886877828 \tabularnewline
V(Y[t],d=0,D=2) & 46.7299659863946 & Range & 36.3 & Trim Var. & 22.3211074197121 \tabularnewline
V(Y[t],d=1,D=2) & 71.9615425531915 & Range & 51 & Trim Var. & 27.1292973286876 \tabularnewline
V(Y[t],d=2,D=2) & 199.397243293247 & Range & 72.3 & Trim Var. & 82.5900609756097 \tabularnewline
V(Y[t],d=3,D=2) & 625.162550724638 & Range & 130.6 & Trim Var. & 262.402846153846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33434&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]82.428302891933[/C][C]Range[/C][C]37.1[/C][C]Trim Var.[/C][C]59.0439903846154[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]21.4027992957746[/C][C]Range[/C][C]20.1[/C][C]Trim Var.[/C][C]13.6638070436508[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]64.4948169014085[/C][C]Range[/C][C]36.4[/C][C]Trim Var.[/C][C]41.4731694828469[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]213.689242236025[/C][C]Range[/C][C]66.2[/C][C]Trim Var.[/C][C]131.228358011634[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]16.9993661202186[/C][C]Range[/C][C]20[/C][C]Trim Var.[/C][C]10.0360957910015[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]26.9180225988701[/C][C]Range[/C][C]26.5[/C][C]Trim Var.[/C][C]16.4094199860238[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]80.4492285213326[/C][C]Range[/C][C]40.1[/C][C]Trim Var.[/C][C]50.9047750362845[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]264.580012099214[/C][C]Range[/C][C]71.3[/C][C]Trim Var.[/C][C]173.444886877828[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]46.7299659863946[/C][C]Range[/C][C]36.3[/C][C]Trim Var.[/C][C]22.3211074197121[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]71.9615425531915[/C][C]Range[/C][C]51[/C][C]Trim Var.[/C][C]27.1292973286876[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]199.397243293247[/C][C]Range[/C][C]72.3[/C][C]Trim Var.[/C][C]82.5900609756097[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]625.162550724638[/C][C]Range[/C][C]130.6[/C][C]Trim Var.[/C][C]262.402846153846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33434&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33434&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)82.428302891933Range37.1Trim Var.59.0439903846154
V(Y[t],d=1,D=0)21.4027992957746Range20.1Trim Var.13.6638070436508
V(Y[t],d=2,D=0)64.4948169014085Range36.4Trim Var.41.4731694828469
V(Y[t],d=3,D=0)213.689242236025Range66.2Trim Var.131.228358011634
V(Y[t],d=0,D=1)16.9993661202186Range20Trim Var.10.0360957910015
V(Y[t],d=1,D=1)26.9180225988701Range26.5Trim Var.16.4094199860238
V(Y[t],d=2,D=1)80.4492285213326Range40.1Trim Var.50.9047750362845
V(Y[t],d=3,D=1)264.580012099214Range71.3Trim Var.173.444886877828
V(Y[t],d=0,D=2)46.7299659863946Range36.3Trim Var.22.3211074197121
V(Y[t],d=1,D=2)71.9615425531915Range51Trim Var.27.1292973286876
V(Y[t],d=2,D=2)199.397243293247Range72.3Trim Var.82.5900609756097
V(Y[t],d=3,D=2)625.162550724638Range130.6Trim Var.262.402846153846


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')