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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 computationFri, 27 Nov 2009 12:48:44 -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/27/t12593513744gsbeebjfkmum8n.htm/, Retrieved Sun, 28 Apr 2024 20:15:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61196, Retrieved Sun, 28 Apr 2024 20:15:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

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]
-   PD          [Variance Reduction Matrix] [] [2009-11-27 19:48:44] [c88a5f1b97e332c6387d668c465455af] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1258
1199
1158
1427
934
709
1186
986
1033
1257
1105
1179
1092
1092
1087
2028
2039
2010
754
760
715
855
971
815
915
843
761
1858
2968
4061
3661
3269
2857
2568
2274
1987
683
381
71
1772
3485
5181
4479
3782
3067
2489
1903
1330
736
483
242
1334
2423
3523
2986
2462
1908
1575
1237
904

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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=61196&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=61196&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61196&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)1286995.93531073Range5110Trim Var.830014.564640112
V(Y[t],d=1,D=0)448157.586206897Range3017Trim Var.257913.291727141
V(Y[t],d=2,D=0)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=3,D=0)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=0,D=1)448157.586206897Range3017Trim Var.257913.291727141
V(Y[t],d=1,D=1)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=2,D=1)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=3,D=1)3751539.01688312Range8802Trim Var.2433814.10979592
V(Y[t],d=0,D=2)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=1,D=2)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=2,D=2)3751539.01688312Range8802Trim Var.2433814.10979592
V(Y[t],d=3,D=2)13774390.4545455Range14614Trim Var.9634767.60544218

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1286995.93531073 & Range & 5110 & Trim Var. & 830014.564640112 \tabularnewline
V(Y[t],d=1,D=0) & 448157.586206897 & Range & 3017 & Trim Var. & 257913.291727141 \tabularnewline
V(Y[t],d=2,D=0) & 477100.448880823 & Range & 4409 & Trim Var. & 178726.841628959 \tabularnewline
V(Y[t],d=3,D=0) & 1135738.32205514 & Range & 4870 & Trim Var. & 615309.38 \tabularnewline
V(Y[t],d=0,D=1) & 448157.586206897 & Range & 3017 & Trim Var. & 257913.291727141 \tabularnewline
V(Y[t],d=1,D=1) & 477100.448880823 & Range & 4409 & Trim Var. & 178726.841628959 \tabularnewline
V(Y[t],d=2,D=1) & 1135738.32205514 & Range & 4870 & Trim Var. & 615309.38 \tabularnewline
V(Y[t],d=3,D=1) & 3751539.01688312 & Range & 8802 & Trim Var. & 2433814.10979592 \tabularnewline
V(Y[t],d=0,D=2) & 477100.448880823 & Range & 4409 & Trim Var. & 178726.841628959 \tabularnewline
V(Y[t],d=1,D=2) & 1135738.32205514 & Range & 4870 & Trim Var. & 615309.38 \tabularnewline
V(Y[t],d=2,D=2) & 3751539.01688312 & Range & 8802 & Trim Var. & 2433814.10979592 \tabularnewline
V(Y[t],d=3,D=2) & 13774390.4545455 & Range & 14614 & Trim Var. & 9634767.60544218 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61196&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1286995.93531073[/C][C]Range[/C][C]5110[/C][C]Trim Var.[/C][C]830014.564640112[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]448157.586206897[/C][C]Range[/C][C]3017[/C][C]Trim Var.[/C][C]257913.291727141[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]477100.448880823[/C][C]Range[/C][C]4409[/C][C]Trim Var.[/C][C]178726.841628959[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1135738.32205514[/C][C]Range[/C][C]4870[/C][C]Trim Var.[/C][C]615309.38[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]448157.586206897[/C][C]Range[/C][C]3017[/C][C]Trim Var.[/C][C]257913.291727141[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]477100.448880823[/C][C]Range[/C][C]4409[/C][C]Trim Var.[/C][C]178726.841628959[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1135738.32205514[/C][C]Range[/C][C]4870[/C][C]Trim Var.[/C][C]615309.38[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]3751539.01688312[/C][C]Range[/C][C]8802[/C][C]Trim Var.[/C][C]2433814.10979592[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]477100.448880823[/C][C]Range[/C][C]4409[/C][C]Trim Var.[/C][C]178726.841628959[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1135738.32205514[/C][C]Range[/C][C]4870[/C][C]Trim Var.[/C][C]615309.38[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3751539.01688312[/C][C]Range[/C][C]8802[/C][C]Trim Var.[/C][C]2433814.10979592[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]13774390.4545455[/C][C]Range[/C][C]14614[/C][C]Trim Var.[/C][C]9634767.60544218[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61196&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61196&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)1286995.93531073Range5110Trim Var.830014.564640112
V(Y[t],d=1,D=0)448157.586206897Range3017Trim Var.257913.291727141
V(Y[t],d=2,D=0)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=3,D=0)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=0,D=1)448157.586206897Range3017Trim Var.257913.291727141
V(Y[t],d=1,D=1)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=2,D=1)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=3,D=1)3751539.01688312Range8802Trim Var.2433814.10979592
V(Y[t],d=0,D=2)477100.448880823Range4409Trim Var.178726.841628959
V(Y[t],d=1,D=2)1135738.32205514Range4870Trim Var.615309.38
V(Y[t],d=2,D=2)3751539.01688312Range8802Trim Var.2433814.10979592
V(Y[t],d=3,D=2)13774390.4545455Range14614Trim Var.9634767.60544218


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')