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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, 02 Dec 2012 05:52:18 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/02/t13544455540utzlowp586q43m.htm/, Retrieved Fri, 29 Mar 2024 02:39:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195415, Retrieved Fri, 29 Mar 2024 02:39:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144
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]
- R PD    [Variance Reduction Matrix] [ws9] [2012-12-02 10:52:18] [2bcb0f1dab9cffb75c9fd882cacbd29a] [Current]
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Dataseries X:
88,1
101,7
114,8
103,4
96,4
110
71,1
79,4
119,2
99,1
113,2
103,6
97,5
102,4
120,8
89,5
101,7
112,5
72,4
84,7
117,2
112,8
111,3
102,3
95,2
103
116,4
95,1
100,7
112,4
75,3
93,3
118,6
118,7
110,7
113,3
89,5
106,3
115,1
105,7
95,8
114,7
79,6
80,6
125
127,5
99,5
104,3
90
96
108,9
95,8
87,2
108,4
74,9
80,8
119,1
107,9
106,9
96,8
93,7
95,2
112,7
98,5
91,5
112
76,7
84,7
114,9
108,4
104,6
111,3
90,8
109,1
121
95,2
110,5
102,4
86,7
99,1
126
110,3
104,6
103,1
102




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' @ yule.wessa.net

\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' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195415&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195415&T=0

As an alternative you can also use a 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' @ yule.wessa.net







Variance Reduction Matrix
V(Y[t],d=0,D=0)173.82062184874Range56.4Trim Var.110.942781981982
V(Y[t],d=1,D=0)343.243492541595Range84.5Trim Var.198.932573121066
V(Y[t],d=2,D=0)912.047152512489Range115Trim Var.661.572872907154
V(Y[t],d=3,D=0)2714.83037187594Range195.3Trim Var.1875.81168818466
V(Y[t],d=0,D=1)56.814398782344Range38.6Trim Var.35.2442884615385
V(Y[t],d=1,D=1)124.018521126761Range55.6Trim Var.77.8065773809524
V(Y[t],d=2,D=1)408.400981891348Range99.1Trim Var.246.512846902202
V(Y[t],d=3,D=1)1434.39677846791Range183.9Trim Var.884.443704389212
V(Y[t],d=0,D=2)129.463612021858Range50.4Trim Var.75.5608563134978
V(Y[t],d=1,D=2)293.003830508475Range76.8Trim Var.193.312564640112
V(Y[t],d=2,D=2)940.359941554647Range127.2Trim Var.617.584811320755
V(Y[t],d=3,D=2)3187.76003932245Range237.4Trim Var.2110.05079939668

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 173.82062184874 & Range & 56.4 & Trim Var. & 110.942781981982 \tabularnewline
V(Y[t],d=1,D=0) & 343.243492541595 & Range & 84.5 & Trim Var. & 198.932573121066 \tabularnewline
V(Y[t],d=2,D=0) & 912.047152512489 & Range & 115 & Trim Var. & 661.572872907154 \tabularnewline
V(Y[t],d=3,D=0) & 2714.83037187594 & Range & 195.3 & Trim Var. & 1875.81168818466 \tabularnewline
V(Y[t],d=0,D=1) & 56.814398782344 & Range & 38.6 & Trim Var. & 35.2442884615385 \tabularnewline
V(Y[t],d=1,D=1) & 124.018521126761 & Range & 55.6 & Trim Var. & 77.8065773809524 \tabularnewline
V(Y[t],d=2,D=1) & 408.400981891348 & Range & 99.1 & Trim Var. & 246.512846902202 \tabularnewline
V(Y[t],d=3,D=1) & 1434.39677846791 & Range & 183.9 & Trim Var. & 884.443704389212 \tabularnewline
V(Y[t],d=0,D=2) & 129.463612021858 & Range & 50.4 & Trim Var. & 75.5608563134978 \tabularnewline
V(Y[t],d=1,D=2) & 293.003830508475 & Range & 76.8 & Trim Var. & 193.312564640112 \tabularnewline
V(Y[t],d=2,D=2) & 940.359941554647 & Range & 127.2 & Trim Var. & 617.584811320755 \tabularnewline
V(Y[t],d=3,D=2) & 3187.76003932245 & Range & 237.4 & Trim Var. & 2110.05079939668 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195415&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]173.82062184874[/C][C]Range[/C][C]56.4[/C][C]Trim Var.[/C][C]110.942781981982[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]343.243492541595[/C][C]Range[/C][C]84.5[/C][C]Trim Var.[/C][C]198.932573121066[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]912.047152512489[/C][C]Range[/C][C]115[/C][C]Trim Var.[/C][C]661.572872907154[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2714.83037187594[/C][C]Range[/C][C]195.3[/C][C]Trim Var.[/C][C]1875.81168818466[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]56.814398782344[/C][C]Range[/C][C]38.6[/C][C]Trim Var.[/C][C]35.2442884615385[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]124.018521126761[/C][C]Range[/C][C]55.6[/C][C]Trim Var.[/C][C]77.8065773809524[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]408.400981891348[/C][C]Range[/C][C]99.1[/C][C]Trim Var.[/C][C]246.512846902202[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1434.39677846791[/C][C]Range[/C][C]183.9[/C][C]Trim Var.[/C][C]884.443704389212[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]129.463612021858[/C][C]Range[/C][C]50.4[/C][C]Trim Var.[/C][C]75.5608563134978[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]293.003830508475[/C][C]Range[/C][C]76.8[/C][C]Trim Var.[/C][C]193.312564640112[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]940.359941554647[/C][C]Range[/C][C]127.2[/C][C]Trim Var.[/C][C]617.584811320755[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3187.76003932245[/C][C]Range[/C][C]237.4[/C][C]Trim Var.[/C][C]2110.05079939668[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195415&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)173.82062184874Range56.4Trim Var.110.942781981982
V(Y[t],d=1,D=0)343.243492541595Range84.5Trim Var.198.932573121066
V(Y[t],d=2,D=0)912.047152512489Range115Trim Var.661.572872907154
V(Y[t],d=3,D=0)2714.83037187594Range195.3Trim Var.1875.81168818466
V(Y[t],d=0,D=1)56.814398782344Range38.6Trim Var.35.2442884615385
V(Y[t],d=1,D=1)124.018521126761Range55.6Trim Var.77.8065773809524
V(Y[t],d=2,D=1)408.400981891348Range99.1Trim Var.246.512846902202
V(Y[t],d=3,D=1)1434.39677846791Range183.9Trim Var.884.443704389212
V(Y[t],d=0,D=2)129.463612021858Range50.4Trim Var.75.5608563134978
V(Y[t],d=1,D=2)293.003830508475Range76.8Trim Var.193.312564640112
V(Y[t],d=2,D=2)940.359941554647Range127.2Trim Var.617.584811320755
V(Y[t],d=3,D=2)3187.76003932245Range237.4Trim Var.2110.05079939668



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')