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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 computationTue, 16 Dec 2008 09:18:42 -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/16/t1229444379dznmgakw90kmvoh.htm/, Retrieved Thu, 16 May 2024 02:43:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34007, Retrieved Thu, 16 May 2024 02:43:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact189

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [paper var red mat 1] [2007-12-01 10:13:36] [22f18fc6a98517db16300404be421f9a]
-    D    [Variance Reduction Matrix] [variance reductio...] [2008-12-16 16:18:42] [e8f764b122b426f433a1e1038b457077] [Current]
-    D      [Variance Reduction Matrix] [variance reductio...] [2008-12-16 16:21:14] [4ddbf81f78ea7c738951638c7e93f6ee]
-    D        [Variance Reduction Matrix] [variance reductio...] [2008-12-16 16:22:45] [4ddbf81f78ea7c738951638c7e93f6ee]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,5
7,6
7,9
7,9
8,1
8,2
8
7,5
6,8
6,5
6,6
7,6
8
8
7,7
7,5
7,6
7,7
7,9
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,1
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,7
6,4
6,3
6,2
6,5
6,8
6,8
6,5
6,3
5,9
5,9
6,4

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34007&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34007&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34007&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.41083615819209Range2.3Trim Var.0.316883298392732
V(Y[t],d=1,D=0)0.0829222676797195Range1.7Trim Var.0.0413876319758672
V(Y[t],d=2,D=0)0.0999516031457955Range1.5Trim Var.0.0563102040816326
V(Y[t],d=3,D=0)0.222293233082707Range2.7Trim Var.0.102337254901961
V(Y[t],d=0,D=1)0.317300531914894Range2.3Trim Var.0.212012195121951
V(Y[t],d=1,D=1)0.094486586493987Range1.5Trim Var.0.0546951219512195
V(Y[t],d=2,D=1)0.100178743961353Range1.40000000000000Trim Var.0.0549743589743589
V(Y[t],d=3,D=1)0.194727272727272Range2.00000000000000Trim Var.0.104466936572199
V(Y[t],d=0,D=2)0.643706349206349Range2.7Trim Var.0.472064516129032
V(Y[t],d=1,D=2)0.187260504201681Range2Trim Var.0.076231527093596
V(Y[t],d=2,D=2)0.224108734402852Range2.1Trim Var.0.128747126436781
V(Y[t],d=3,D=2)0.506306818181817Range3.09999999999999Trim Var.0.289236453201969

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.41083615819209 & Range & 2.3 & Trim Var. & 0.316883298392732 \tabularnewline
V(Y[t],d=1,D=0) & 0.0829222676797195 & Range & 1.7 & Trim Var. & 0.0413876319758672 \tabularnewline
V(Y[t],d=2,D=0) & 0.0999516031457955 & Range & 1.5 & Trim Var. & 0.0563102040816326 \tabularnewline
V(Y[t],d=3,D=0) & 0.222293233082707 & Range & 2.7 & Trim Var. & 0.102337254901961 \tabularnewline
V(Y[t],d=0,D=1) & 0.317300531914894 & Range & 2.3 & Trim Var. & 0.212012195121951 \tabularnewline
V(Y[t],d=1,D=1) & 0.094486586493987 & Range & 1.5 & Trim Var. & 0.0546951219512195 \tabularnewline
V(Y[t],d=2,D=1) & 0.100178743961353 & Range & 1.40000000000000 & Trim Var. & 0.0549743589743589 \tabularnewline
V(Y[t],d=3,D=1) & 0.194727272727272 & Range & 2.00000000000000 & Trim Var. & 0.104466936572199 \tabularnewline
V(Y[t],d=0,D=2) & 0.643706349206349 & Range & 2.7 & Trim Var. & 0.472064516129032 \tabularnewline
V(Y[t],d=1,D=2) & 0.187260504201681 & Range & 2 & Trim Var. & 0.076231527093596 \tabularnewline
V(Y[t],d=2,D=2) & 0.224108734402852 & Range & 2.1 & Trim Var. & 0.128747126436781 \tabularnewline
V(Y[t],d=3,D=2) & 0.506306818181817 & Range & 3.09999999999999 & Trim Var. & 0.289236453201969 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34007&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.41083615819209[/C][C]Range[/C][C]2.3[/C][C]Trim Var.[/C][C]0.316883298392732[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0829222676797195[/C][C]Range[/C][C]1.7[/C][C]Trim Var.[/C][C]0.0413876319758672[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0999516031457955[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0563102040816326[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.222293233082707[/C][C]Range[/C][C]2.7[/C][C]Trim Var.[/C][C]0.102337254901961[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.317300531914894[/C][C]Range[/C][C]2.3[/C][C]Trim Var.[/C][C]0.212012195121951[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.094486586493987[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0546951219512195[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.100178743961353[/C][C]Range[/C][C]1.40000000000000[/C][C]Trim Var.[/C][C]0.0549743589743589[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.194727272727272[/C][C]Range[/C][C]2.00000000000000[/C][C]Trim Var.[/C][C]0.104466936572199[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.643706349206349[/C][C]Range[/C][C]2.7[/C][C]Trim Var.[/C][C]0.472064516129032[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.187260504201681[/C][C]Range[/C][C]2[/C][C]Trim Var.[/C][C]0.076231527093596[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.224108734402852[/C][C]Range[/C][C]2.1[/C][C]Trim Var.[/C][C]0.128747126436781[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.506306818181817[/C][C]Range[/C][C]3.09999999999999[/C][C]Trim Var.[/C][C]0.289236453201969[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34007&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34007&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)0.41083615819209Range2.3Trim Var.0.316883298392732
V(Y[t],d=1,D=0)0.0829222676797195Range1.7Trim Var.0.0413876319758672
V(Y[t],d=2,D=0)0.0999516031457955Range1.5Trim Var.0.0563102040816326
V(Y[t],d=3,D=0)0.222293233082707Range2.7Trim Var.0.102337254901961
V(Y[t],d=0,D=1)0.317300531914894Range2.3Trim Var.0.212012195121951
V(Y[t],d=1,D=1)0.094486586493987Range1.5Trim Var.0.0546951219512195
V(Y[t],d=2,D=1)0.100178743961353Range1.40000000000000Trim Var.0.0549743589743589
V(Y[t],d=3,D=1)0.194727272727272Range2.00000000000000Trim Var.0.104466936572199
V(Y[t],d=0,D=2)0.643706349206349Range2.7Trim Var.0.472064516129032
V(Y[t],d=1,D=2)0.187260504201681Range2Trim Var.0.076231527093596
V(Y[t],d=2,D=2)0.224108734402852Range2.1Trim Var.0.128747126436781
V(Y[t],d=3,D=2)0.506306818181817Range3.09999999999999Trim Var.0.289236453201969


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')