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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, 13 Dec 2008 16:43:45 -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/t1229211875uxbsu3vvrgnfi1n.htm/, Retrieved Wed, 15 May 2024 13:36:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33233, Retrieved Wed, 15 May 2024 13:36:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact215

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:40:39] [b98453cac15ba1066b407e146608df68]
F       [Law of Averages] [WS7 Task 4] [2008-11-30 15:52:14] [11ac052cc87d77b9933b02bea117068e]
- RMPD    [Standard Deviation-Mean Plot] [WS7 Task 5 Correc...] [2008-12-02 17:34:41] [11ac052cc87d77b9933b02bea117068e]
-    D      [Standard Deviation-Mean Plot] [VS STDPLOT] [2008-12-13 22:46:20] [c4e82a203a5642d47e013a6c97b9cd86]
- RM D          [Variance Reduction Matrix] [vs variantie redu...] [2008-12-13 23:43:45] [40e4ecc26f5b6a1a04324e2dfea518f7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
122.36
123.33
123.04
124.53
125.13
125.85
126.50
126.53
127.07
124.55
124.90
124.32
122.84
123.31
123.31
124.87
124.64
124.73
124.90
124.04
123.28
123.86
122.29
124.09
124.54
125.65
125.70
125.53
125.61
125.55
125.41
127.60
124.68
124.41
126.43
126.38
125.78
124.70
125.07
125.25
126.58
127.13
125.82
123.70
124.39
123.70
124.42
121.05
121.02
123.23
121.32
120.91
120.72
123.31
119.58
119.53
120.59
118.63
118.47
111.81
114.71
117.34
115.77
118.38
117.84
118.83
120.02
116.21
117.08
120.20
119.83
118.92
118.03
117.71
119.55
116.13
115.97
115.99
114.96
116.46
116.55
113.05
117.44
118.84
117.06
117.54
119.31
118.72
121.55
122.61
121.53
123.31
124.07
123.59
122.97
123.22
123.04
122.96
122.81
122.81
122.62
120.82
119.41
121.56
121.59
118.50
118.77
118.86
117.60
119.90
121.83
121.84
122.12
122.12
121.36
119.66
119.32
120.36
117.06
117.48
115.60
113.86
116.92
117.75
117.75
115.31
116.28
115.22
115.65
115.11
118.67
118.04
116.50
119.78
119.95
120.37
119.79
119.43
121.06
121.74
121.09
122.97
120.50
117.18
115.03
113.36
112.59
111.65
111.98
114.87
114.67
114.09
114.77
117.05
117.22
113.18
110.95
112.14
112.72
110.01
110.29
110.74
110.32
105.89
108.97
109.34
106.57
99.49
101.81
104.29
109.73
105.06
107.97
108.13
109.86
108.95
111.20
110.69
106.10
105.68
104.12
104.71
104.30
103.52
107.76
107.80
107.30
108.64
105.03
108.30
107.21
109.27
109.50
111.68
111.80
111.75
106.68
106.37
105.76
109.01
109.01
109.01
109.01
107.69
105.19
105.48
102.22
100.54
105.00
105.44
107.89
108.64
106.70
109.10
105.23
108.41
108.80
110.39
110.22
110.86
108.58
107.70
106.62
109.84
107.16
107.26
108.70
109.85
109.41
112.36
111.03
110.67
109.21
113.58
113.88
114.08
112.33
113.92
114.41
114.57
115.35
113.13
113.29
112.56
113.06
113.46
115.39
116.62
117.04
117.42
115.62
115.16
115.69
112.85
114.05
112.00
113.74
116.26
118.63
116.49
118.23
116.83
118.82
114.36
112.02
113.24
109.75
110.33
112.86
113.04
113.80
110.90
109.96
108.69
108.84
108.47
108.07
107.94
108.11
108.11
106.81
105.58
105.61
106.52
103.86
104.60
104.73
105.12
104.76
103.85
103.83
103.22
101.64
102.13
104.33
104.92
107.78
104.49
102.80
102.86
104.51
104.73
102.58
99.93
101.41
101.05
99.86
101.11
100.89
101.09
98.31
98.08
99.55
99.62
97.37
98.16
97.98
98.15
97.10
97.24
96.70
96.64
100.65
96.75
97.74
97.92
98.34
93.84
97.80
96.20
95.99
95.18
95.95
92.23
91.78
92.97
89.76
92.88
96.23
95.79
93.97
93.90
93.60
93.96
88.69
88.57
85.62
86.25
85.33
83.33
77.78
78.70
72.05
80.75
81.41
82.65
75.85
75.70
78.25
77.41
76.84
74.25
74.95
68.78
73.21
73.26
78.67
75.63
74.99
83.87
79.62
80.13
79.76
78.20
78.05
79.05
73.32
75.17
73.26
73.72
73.57
70.60
71.25
74.22
73.32
73.01
74.21
75.32
71.73
71.94
72.94
72.47
71.94
74.30
74.30

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33233&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33233&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33233&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Variance Reduction Matrix
V(Y[t],d=0,D=0)216.982431506779Range58.82Trim Var.151.066109314872
V(Y[t],d=1,D=0)4.40591922604978Range15.96Trim Var.2.15686021750612
V(Y[t],d=2,D=0)10.9923966986031Range28.48Trim Var.5.524495816701
V(Y[t],d=3,D=0)35.1356805965865Range46.31Trim Var.18.1045091936998
V(Y[t],d=0,D=1)21.2808856738616Range32.46Trim Var.11.5149624895572
V(Y[t],d=1,D=1)9.36470448736447Range22.93Trim Var.4.70877904426266
V(Y[t],d=2,D=1)24.7159506340655Range37.9Trim Var.12.5713690029325
V(Y[t],d=3,D=1)81.4197965358978Range71.03Trim Var.42.4426244790863
V(Y[t],d=0,D=2)48.4113903970278Range44.52Trim Var.26.3181922500814
V(Y[t],d=1,D=2)29.4284596498938Range40.08Trim Var.15.0272540676300
V(Y[t],d=2,D=2)78.5878076352068Range68.08Trim Var.39.5547875711801
V(Y[t],d=3,D=2)258.663136926164Range124.88Trim Var.131.423129755918

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 216.982431506779 & Range & 58.82 & Trim Var. & 151.066109314872 \tabularnewline
V(Y[t],d=1,D=0) & 4.40591922604978 & Range & 15.96 & Trim Var. & 2.15686021750612 \tabularnewline
V(Y[t],d=2,D=0) & 10.9923966986031 & Range & 28.48 & Trim Var. & 5.524495816701 \tabularnewline
V(Y[t],d=3,D=0) & 35.1356805965865 & Range & 46.31 & Trim Var. & 18.1045091936998 \tabularnewline
V(Y[t],d=0,D=1) & 21.2808856738616 & Range & 32.46 & Trim Var. & 11.5149624895572 \tabularnewline
V(Y[t],d=1,D=1) & 9.36470448736447 & Range & 22.93 & Trim Var. & 4.70877904426266 \tabularnewline
V(Y[t],d=2,D=1) & 24.7159506340655 & Range & 37.9 & Trim Var. & 12.5713690029325 \tabularnewline
V(Y[t],d=3,D=1) & 81.4197965358978 & Range & 71.03 & Trim Var. & 42.4426244790863 \tabularnewline
V(Y[t],d=0,D=2) & 48.4113903970278 & Range & 44.52 & Trim Var. & 26.3181922500814 \tabularnewline
V(Y[t],d=1,D=2) & 29.4284596498938 & Range & 40.08 & Trim Var. & 15.0272540676300 \tabularnewline
V(Y[t],d=2,D=2) & 78.5878076352068 & Range & 68.08 & Trim Var. & 39.5547875711801 \tabularnewline
V(Y[t],d=3,D=2) & 258.663136926164 & Range & 124.88 & Trim Var. & 131.423129755918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33233&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]216.982431506779[/C][C]Range[/C][C]58.82[/C][C]Trim Var.[/C][C]151.066109314872[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]4.40591922604978[/C][C]Range[/C][C]15.96[/C][C]Trim Var.[/C][C]2.15686021750612[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]10.9923966986031[/C][C]Range[/C][C]28.48[/C][C]Trim Var.[/C][C]5.524495816701[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]35.1356805965865[/C][C]Range[/C][C]46.31[/C][C]Trim Var.[/C][C]18.1045091936998[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]21.2808856738616[/C][C]Range[/C][C]32.46[/C][C]Trim Var.[/C][C]11.5149624895572[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]9.36470448736447[/C][C]Range[/C][C]22.93[/C][C]Trim Var.[/C][C]4.70877904426266[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]24.7159506340655[/C][C]Range[/C][C]37.9[/C][C]Trim Var.[/C][C]12.5713690029325[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]81.4197965358978[/C][C]Range[/C][C]71.03[/C][C]Trim Var.[/C][C]42.4426244790863[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]48.4113903970278[/C][C]Range[/C][C]44.52[/C][C]Trim Var.[/C][C]26.3181922500814[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]29.4284596498938[/C][C]Range[/C][C]40.08[/C][C]Trim Var.[/C][C]15.0272540676300[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]78.5878076352068[/C][C]Range[/C][C]68.08[/C][C]Trim Var.[/C][C]39.5547875711801[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]258.663136926164[/C][C]Range[/C][C]124.88[/C][C]Trim Var.[/C][C]131.423129755918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33233&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33233&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)216.982431506779Range58.82Trim Var.151.066109314872
V(Y[t],d=1,D=0)4.40591922604978Range15.96Trim Var.2.15686021750612
V(Y[t],d=2,D=0)10.9923966986031Range28.48Trim Var.5.524495816701
V(Y[t],d=3,D=0)35.1356805965865Range46.31Trim Var.18.1045091936998
V(Y[t],d=0,D=1)21.2808856738616Range32.46Trim Var.11.5149624895572
V(Y[t],d=1,D=1)9.36470448736447Range22.93Trim Var.4.70877904426266
V(Y[t],d=2,D=1)24.7159506340655Range37.9Trim Var.12.5713690029325
V(Y[t],d=3,D=1)81.4197965358978Range71.03Trim Var.42.4426244790863
V(Y[t],d=0,D=2)48.4113903970278Range44.52Trim Var.26.3181922500814
V(Y[t],d=1,D=2)29.4284596498938Range40.08Trim Var.15.0272540676300
V(Y[t],d=2,D=2)78.5878076352068Range68.08Trim Var.39.5547875711801
V(Y[t],d=3,D=2)258.663136926164Range124.88Trim Var.131.423129755918


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')