## Free Statistics

of Irreproducible Research!

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 computationTue, 24 Nov 2009 11:55:46 -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/2009/Nov/24/t1259088972mf2h4xf0g1cc0vi.htm/, Retrieved Mon, 26 Feb 2024 04:24:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59225, Retrieved Mon, 26 Feb 2024 04:24:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS 8 - methode 2 VRM
Estimated Impact134
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [WS 8] [2009-11-24 18:55:46] [100339cefec36dfa6f2b82a1c918e250] [Current]
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Dataseries X:
162
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124
115
106
105
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59225&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]0 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=59225&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59225&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 0 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

 Variance Reduction Matrix V(Y[t],d=0,D=0) 362.970491803279 Range 78 Trim Var. 225.897677793904 V(Y[t],d=1,D=0) 115.975988700565 Range 51 Trim Var. 55.5667365478686 V(Y[t],d=2,D=0) 162.002922267680 Range 63 Trim Var. 66.8476621417798 V(Y[t],d=3,D=0) 386.296733212341 Range 92 Trim Var. 175.539592760181 V(Y[t],d=0,D=1) 102.825680272109 Range 42 Trim Var. 55.719512195122 V(Y[t],d=1,D=1) 8.6790780141844 Range 13 Trim Var. 4.34871794871795 V(Y[t],d=2,D=1) 17.4125809435708 Range 23 Trim Var. 7.22439024390244 V(Y[t],d=3,D=1) 57.5091787439613 Range 38 Trim Var. 26.8589743589744 V(Y[t],d=0,D=2) 192.978978978979 Range 45 Trim Var. 156.433712121212 V(Y[t],d=1,D=2) 23.0753968253968 Range 20 Trim Var. 14.9032258064516 V(Y[t],d=2,D=2) 60.7344537815126 Range 32 Trim Var. 36.6645161290323 V(Y[t],d=3,D=2) 210.003565062389 Range 58 Trim Var. 109.333333333333

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 362.970491803279 & Range & 78 & Trim Var. & 225.897677793904 \tabularnewline
V(Y[t],d=1,D=0) & 115.975988700565 & Range & 51 & Trim Var. & 55.5667365478686 \tabularnewline
V(Y[t],d=2,D=0) & 162.002922267680 & Range & 63 & Trim Var. & 66.8476621417798 \tabularnewline
V(Y[t],d=3,D=0) & 386.296733212341 & Range & 92 & Trim Var. & 175.539592760181 \tabularnewline
V(Y[t],d=0,D=1) & 102.825680272109 & Range & 42 & Trim Var. & 55.719512195122 \tabularnewline
V(Y[t],d=1,D=1) & 8.6790780141844 & Range & 13 & Trim Var. & 4.34871794871795 \tabularnewline
V(Y[t],d=2,D=1) & 17.4125809435708 & Range & 23 & Trim Var. & 7.22439024390244 \tabularnewline
V(Y[t],d=3,D=1) & 57.5091787439613 & Range & 38 & Trim Var. & 26.8589743589744 \tabularnewline
V(Y[t],d=0,D=2) & 192.978978978979 & Range & 45 & Trim Var. & 156.433712121212 \tabularnewline
V(Y[t],d=1,D=2) & 23.0753968253968 & Range & 20 & Trim Var. & 14.9032258064516 \tabularnewline
V(Y[t],d=2,D=2) & 60.7344537815126 & Range & 32 & Trim Var. & 36.6645161290323 \tabularnewline
V(Y[t],d=3,D=2) & 210.003565062389 & Range & 58 & Trim Var. & 109.333333333333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59225&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]362.970491803279[/C][C]Range[/C][C]78[/C][C]Trim Var.[/C][C]225.897677793904[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]115.975988700565[/C][C]Range[/C][C]51[/C][C]Trim Var.[/C][C]55.5667365478686[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]162.002922267680[/C][C]Range[/C][C]63[/C][C]Trim Var.[/C][C]66.8476621417798[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]386.296733212341[/C][C]Range[/C][C]92[/C][C]Trim Var.[/C][C]175.539592760181[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]102.825680272109[/C][C]Range[/C][C]42[/C][C]Trim Var.[/C][C]55.719512195122[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]8.6790780141844[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]4.34871794871795[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]17.4125809435708[/C][C]Range[/C][C]23[/C][C]Trim Var.[/C][C]7.22439024390244[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]57.5091787439613[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]26.8589743589744[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]192.978978978979[/C][C]Range[/C][C]45[/C][C]Trim Var.[/C][C]156.433712121212[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]23.0753968253968[/C][C]Range[/C][C]20[/C][C]Trim Var.[/C][C]14.9032258064516[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]60.7344537815126[/C][C]Range[/C][C]32[/C][C]Trim Var.[/C][C]36.6645161290323[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]210.003565062389[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]109.333333333333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59225&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59225&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) 362.970491803279 Range 78 Trim Var. 225.897677793904 V(Y[t],d=1,D=0) 115.975988700565 Range 51 Trim Var. 55.5667365478686 V(Y[t],d=2,D=0) 162.002922267680 Range 63 Trim Var. 66.8476621417798 V(Y[t],d=3,D=0) 386.296733212341 Range 92 Trim Var. 175.539592760181 V(Y[t],d=0,D=1) 102.825680272109 Range 42 Trim Var. 55.719512195122 V(Y[t],d=1,D=1) 8.6790780141844 Range 13 Trim Var. 4.34871794871795 V(Y[t],d=2,D=1) 17.4125809435708 Range 23 Trim Var. 7.22439024390244 V(Y[t],d=3,D=1) 57.5091787439613 Range 38 Trim Var. 26.8589743589744 V(Y[t],d=0,D=2) 192.978978978979 Range 45 Trim Var. 156.433712121212 V(Y[t],d=1,D=2) 23.0753968253968 Range 20 Trim Var. 14.9032258064516 V(Y[t],d=2,D=2) 60.7344537815126 Range 32 Trim Var. 36.6645161290323 V(Y[t],d=3,D=2) 210.003565062389 Range 58 Trim Var. 109.333333333333

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 <- xif (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')