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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, 19 Dec 2010 10:43:44 +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/19/t1292755316kbu6x8avtmevvwo.htm/, Retrieved Sat, 04 May 2024 21:55:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112266, Retrieved Sat, 04 May 2024 21:55:32 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186
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] [tutorial ] [2010-12-13 19:46:27] [2db53827eae1799a3d605fb62e1e92dc]
-    D    [Variance Reduction Matrix] [tutorial9VRM] [2010-12-15 16:54:41] [8b2514d8f13517d765015fc185a22b4b]
-    D        [Variance Reduction Matrix] [VRM OTR] [2010-12-19 10:43:44] [109f5cd2d2b7c934778912c55604f6f1] [Current]
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Dataseries X:
126,64
126,81
125,84
126,77
124,34
124,4
120,48
118,54
117,66
116,97
120,11
119,16
116,9
116,11
114,98
113,65
115,82
117,59
118,57
118,07
114,98
114,04
115,02
114,28
115,04
116,7
119,21
118,39
116,5
115,46
117,59
117,33
116,2
116,83
118,99
118,62
121,09
122,4
123,76
125,33
123,23
122,52
123,64
124,67
124,71
122,53
124,4
125,45
125,35
124,3
127,03
128,51
128,1
128,94
129,67
129,87
131,12
132,68
132,24
133,63
129,91
127,93
131,17
130,86
133,48
134,08
136,02
132,8
132,37
133,05
132,57
130,7
130,5
129,67
127,8
126,82
126,85
128,28
128,3
126,82
125,08
128,53
130,34
131,52
132,59
131,17
132,72
133,36
132,82
132,9
130,9
129,41
128,67
129,28
130,91
131,06
130,84
131,41
133,22
132,06
132,48
134,38
135,22
134,89
136,09
136,33
136,32
137,48
136,53
136,8
138,03
137,39
137,55
136,08
134,78
133,28
133,57
134,84
133,02
133,49
133,77
134,34
134,5
134,03
135,51
136,53
135,95
134,32
132,44
133,61
131,02
130,05
128,21
129,03
130,34
131,57
132,63
132,06
134,44
134,1
132,49
134,23
134,92
135,61
134,53
133,86
133,89
135,33
135,86
136,22
137,38
137,31
136,89
138,01
136,72
135,77
137,52
135,61
132,94
134,12
132,55
134,11
134,19
135,57
135,05
134,32
133,61
134,75
133,1
133,26
131,63
132,47
132,45
133,33
133,57
134,13
133,92
132,62
132,3
133,26
132,6
134,38
134,17
135,46
135,09
134,96
133,85
132,59
131,15
130,91
131,07
130,78
129,95
131,41
131,21
130,68
130,46
131,12
132,99
133,02
133,39
134,07
135,6
135,66
135,53
135,82
136,9
137,97
138,09
136,91
134,76
135,13
134,66
132,95
132,25
134,3
134,3
134,76
134,81
134,51
135,11
134,32
133,51
134,02
132,76
133,39
132,05
131,87
133,03
132,57
132,1
130,7
129,2
129,77
131,02
131,55
133,17
133,08
133,24
130,74
129,91
130,03
131,13
129,55
130,22
130,61
129,27
129,68
130,1
130,83
130,95
131,73
131,86
132,44
132,35
133,16
133,62
132,54
132,69
133,5
133,36
134,23
132,41
133,02
132,88
130,76
130,33
129,79
128,65
129,14
127,35
127,74
126,31
125,95
126,36
126,15
125,6
126,2
126,73
125,68
122,49
122,07
123,4
123,01
123,03
122,33
122,42
122,68
124,69
123,3
124,17
124,38
123,19
122,16
120,66
120,92
120,67
120,68
121,1
120,86
121,48
123,48
121,72
123,16
123,84
124,57
124,3
124,22
124,43
123,33
122,86
121,25
122,16
122,62
123,44
124
124,75
124,8
125,93
126,28
126,04
125,04
123,76
125,34
126,99
126,34
127,42
126,18
125,3
123,5
125,32
124,65
124,03
125,11
125,46
124,7
124,48
124,76
125,81
124,95
123,66
122,66
119,34
117,84
120,97
117,38
118,06
116,99
115,55
114,17
115,32
112,49
111,93
112,08
111,63
109,53
111,35
110,79
113,06
112,62
110,65
112,36
113,74
111,73
109,86
109,32
109,99
109,84
111,13
112,43
111,77
112,15
112,89
112,12
113,1
111,09
110,76
109,59
109,99
110,25
108,31
108,79
108,14
109,88
109,93
110,46
109,56
111,49
111,85
111,35
110,95
112,49
113,11
112,54
112,84
111,5
111,52
111,57
112,48
112,31
113,79
114,01
113,64
112,62
113,27
113,51
112,92
113,66
113,14
113,48
113,23
110,56
109,5
109,78
109,49
109,66
109,93
109,82
108,54
108,23
106,19
106,49
107,15
107,74
107,54
107,07
107,54
107,81
108,38
108,42
106,86
106,41
106,46
106,84
107,69
107,04
111,04
111,93
111,98
112,07
112,05
113,14
112,49
113,2
113,52
113,22
113,85
113,68
114,26
114,1
114,8
114,98
115,1
114,21
114,24
113,35
114,23
114,43
114,28
113
113,16
112,59
113,65
113,18
113,21
113,11
112,78
112,57
111,87
111,94
113,18
113,67
115,15
114,41
112,88
112,44
113,48
112,78
112,59
113,31
113,21
112,5
113,72
114,09
113,97
112,5
111,28
111,35
110,92
110,73
109




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112266&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112266&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112266&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Variance Reduction Matrix
V(Y[t],d=0,D=0)87.8924714318966Range31.9Trim Var.73.4202739806226
V(Y[t],d=1,D=0)1.41833529652352Range7.92Trim Var.0.832301224243559
V(Y[t],d=2,D=0)2.84822175735022Range11.94Trim Var.1.62112099416482
V(Y[t],d=3,D=0)8.49864819739453Range22.34Trim Var.4.91058998777467
V(Y[t],d=0,D=1)6.80915042721989Range17.2Trim Var.4.02239420594748
V(Y[t],d=1,D=1)2.89167092272301Range11.37Trim Var.1.63677741087981
V(Y[t],d=2,D=1)5.72648114359289Range19.63Trim Var.3.14983077925947
V(Y[t],d=3,D=1)17.0232892459816Range34.2199999999999Trim Var.9.25486701415615
V(Y[t],d=0,D=2)13.6587816328829Range24.69Trim Var.8.82718462957967
V(Y[t],d=1,D=2)8.5745078479471Range17.98Trim Var.4.79088058563203
V(Y[t],d=2,D=2)17.3312832443811Range32.4999999999999Trim Var.9.52164782927748
V(Y[t],d=3,D=2)52.2770372766504Range57.3499999999999Trim Var.29.1352357261342

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 87.8924714318966 & Range & 31.9 & Trim Var. & 73.4202739806226 \tabularnewline
V(Y[t],d=1,D=0) & 1.41833529652352 & Range & 7.92 & Trim Var. & 0.832301224243559 \tabularnewline
V(Y[t],d=2,D=0) & 2.84822175735022 & Range & 11.94 & Trim Var. & 1.62112099416482 \tabularnewline
V(Y[t],d=3,D=0) & 8.49864819739453 & Range & 22.34 & Trim Var. & 4.91058998777467 \tabularnewline
V(Y[t],d=0,D=1) & 6.80915042721989 & Range & 17.2 & Trim Var. & 4.02239420594748 \tabularnewline
V(Y[t],d=1,D=1) & 2.89167092272301 & Range & 11.37 & Trim Var. & 1.63677741087981 \tabularnewline
V(Y[t],d=2,D=1) & 5.72648114359289 & Range & 19.63 & Trim Var. & 3.14983077925947 \tabularnewline
V(Y[t],d=3,D=1) & 17.0232892459816 & Range & 34.2199999999999 & Trim Var. & 9.25486701415615 \tabularnewline
V(Y[t],d=0,D=2) & 13.6587816328829 & Range & 24.69 & Trim Var. & 8.82718462957967 \tabularnewline
V(Y[t],d=1,D=2) & 8.5745078479471 & Range & 17.98 & Trim Var. & 4.79088058563203 \tabularnewline
V(Y[t],d=2,D=2) & 17.3312832443811 & Range & 32.4999999999999 & Trim Var. & 9.52164782927748 \tabularnewline
V(Y[t],d=3,D=2) & 52.2770372766504 & Range & 57.3499999999999 & Trim Var. & 29.1352357261342 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112266&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]87.8924714318966[/C][C]Range[/C][C]31.9[/C][C]Trim Var.[/C][C]73.4202739806226[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1.41833529652352[/C][C]Range[/C][C]7.92[/C][C]Trim Var.[/C][C]0.832301224243559[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]2.84822175735022[/C][C]Range[/C][C]11.94[/C][C]Trim Var.[/C][C]1.62112099416482[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]8.49864819739453[/C][C]Range[/C][C]22.34[/C][C]Trim Var.[/C][C]4.91058998777467[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]6.80915042721989[/C][C]Range[/C][C]17.2[/C][C]Trim Var.[/C][C]4.02239420594748[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]2.89167092272301[/C][C]Range[/C][C]11.37[/C][C]Trim Var.[/C][C]1.63677741087981[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]5.72648114359289[/C][C]Range[/C][C]19.63[/C][C]Trim Var.[/C][C]3.14983077925947[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]17.0232892459816[/C][C]Range[/C][C]34.2199999999999[/C][C]Trim Var.[/C][C]9.25486701415615[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]13.6587816328829[/C][C]Range[/C][C]24.69[/C][C]Trim Var.[/C][C]8.82718462957967[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]8.5745078479471[/C][C]Range[/C][C]17.98[/C][C]Trim Var.[/C][C]4.79088058563203[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]17.3312832443811[/C][C]Range[/C][C]32.4999999999999[/C][C]Trim Var.[/C][C]9.52164782927748[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]52.2770372766504[/C][C]Range[/C][C]57.3499999999999[/C][C]Trim Var.[/C][C]29.1352357261342[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112266&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112266&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)87.8924714318966Range31.9Trim Var.73.4202739806226
V(Y[t],d=1,D=0)1.41833529652352Range7.92Trim Var.0.832301224243559
V(Y[t],d=2,D=0)2.84822175735022Range11.94Trim Var.1.62112099416482
V(Y[t],d=3,D=0)8.49864819739453Range22.34Trim Var.4.91058998777467
V(Y[t],d=0,D=1)6.80915042721989Range17.2Trim Var.4.02239420594748
V(Y[t],d=1,D=1)2.89167092272301Range11.37Trim Var.1.63677741087981
V(Y[t],d=2,D=1)5.72648114359289Range19.63Trim Var.3.14983077925947
V(Y[t],d=3,D=1)17.0232892459816Range34.2199999999999Trim Var.9.25486701415615
V(Y[t],d=0,D=2)13.6587816328829Range24.69Trim Var.8.82718462957967
V(Y[t],d=1,D=2)8.5745078479471Range17.98Trim Var.4.79088058563203
V(Y[t],d=2,D=2)17.3312832443811Range32.4999999999999Trim Var.9.52164782927748
V(Y[t],d=3,D=2)52.2770372766504Range57.3499999999999Trim Var.29.1352357261342



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
R code (references can be found in the software module):
par1 <- 5
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')