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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 computationSun, 21 Dec 2008 15:10:18 -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/21/t1229897451w2jw7708dgubd3o.htm/, Retrieved Sun, 19 May 2024 09:21:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35870, Retrieved Sun, 19 May 2024 09:21:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:47:51] [c5e27150943bc3d623392efb0d98f8d3]
-    D  [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:49:45] [c5e27150943bc3d623392efb0d98f8d3]
- RMPD    [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:56:51] [c5e27150943bc3d623392efb0d98f8d3]
-    D      [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:58:39] [c5e27150943bc3d623392efb0d98f8d3]
- RMPD        [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:02:22] [c5e27150943bc3d623392efb0d98f8d3]
-    D          [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:04:17] [c5e27150943bc3d623392efb0d98f8d3]
- RM D            [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:07:14] [c5e27150943bc3d623392efb0d98f8d3]
-    D              [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:08:53] [4ddbf81f78ea7c738951638c7e93f6ee]
-    D                  [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:10:18] [e8f764b122b426f433a1e1038b457077] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35870&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35870&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35870&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.524395480225989Range3.1Trim Var.0.344461914744934
V(Y[t],d=1,D=0)0.103308007013442Range2.1Trim Var.0.0369254901960784
V(Y[t],d=2,D=0)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=3,D=0)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=0,D=1)0.103308007013442Range2.1Trim Var.0.0369254901960784
V(Y[t],d=1,D=1)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=2,D=1)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=3,D=1)0.733633116883118Range4.4Trim Var.0.334693877551021
V(Y[t],d=0,D=2)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=1,D=2)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=2,D=2)0.733633116883118Range4.4Trim Var.0.334693877551021
V(Y[t],d=3,D=2)2.51936026936027Range7.4Trim Var.1.32344387755102

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.524395480225989 & Range & 3.1 & Trim Var. & 0.344461914744934 \tabularnewline
V(Y[t],d=1,D=0) & 0.103308007013442 & Range & 2.1 & Trim Var. & 0.0369254901960784 \tabularnewline
V(Y[t],d=2,D=0) & 0.126766485178464 & Range & 1.8 & Trim Var. & 0.0680367346938776 \tabularnewline
V(Y[t],d=3,D=0) & 0.251810776942356 & Range & 2.8 & Trim Var. & 0.109749019607843 \tabularnewline
V(Y[t],d=0,D=1) & 0.103308007013442 & Range & 2.1 & Trim Var. & 0.0369254901960784 \tabularnewline
V(Y[t],d=1,D=1) & 0.126766485178464 & Range & 1.8 & Trim Var. & 0.0680367346938776 \tabularnewline
V(Y[t],d=2,D=1) & 0.251810776942356 & Range & 2.8 & Trim Var. & 0.109749019607843 \tabularnewline
V(Y[t],d=3,D=1) & 0.733633116883118 & Range & 4.4 & Trim Var. & 0.334693877551021 \tabularnewline
V(Y[t],d=0,D=2) & 0.126766485178464 & Range & 1.8 & Trim Var. & 0.0680367346938776 \tabularnewline
V(Y[t],d=1,D=2) & 0.251810776942356 & Range & 2.8 & Trim Var. & 0.109749019607843 \tabularnewline
V(Y[t],d=2,D=2) & 0.733633116883118 & Range & 4.4 & Trim Var. & 0.334693877551021 \tabularnewline
V(Y[t],d=3,D=2) & 2.51936026936027 & Range & 7.4 & Trim Var. & 1.32344387755102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35870&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.524395480225989[/C][C]Range[/C][C]3.1[/C][C]Trim Var.[/C][C]0.344461914744934[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.103308007013442[/C][C]Range[/C][C]2.1[/C][C]Trim Var.[/C][C]0.0369254901960784[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.126766485178464[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0680367346938776[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.251810776942356[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.109749019607843[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.103308007013442[/C][C]Range[/C][C]2.1[/C][C]Trim Var.[/C][C]0.0369254901960784[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.126766485178464[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0680367346938776[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.251810776942356[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.109749019607843[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.733633116883118[/C][C]Range[/C][C]4.4[/C][C]Trim Var.[/C][C]0.334693877551021[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.126766485178464[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0680367346938776[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.251810776942356[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.109749019607843[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.733633116883118[/C][C]Range[/C][C]4.4[/C][C]Trim Var.[/C][C]0.334693877551021[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2.51936026936027[/C][C]Range[/C][C]7.4[/C][C]Trim Var.[/C][C]1.32344387755102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35870&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35870&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)0.524395480225989Range3.1Trim Var.0.344461914744934
V(Y[t],d=1,D=0)0.103308007013442Range2.1Trim Var.0.0369254901960784
V(Y[t],d=2,D=0)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=3,D=0)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=0,D=1)0.103308007013442Range2.1Trim Var.0.0369254901960784
V(Y[t],d=1,D=1)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=2,D=1)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=3,D=1)0.733633116883118Range4.4Trim Var.0.334693877551021
V(Y[t],d=0,D=2)0.126766485178464Range1.8Trim Var.0.0680367346938776
V(Y[t],d=1,D=2)0.251810776942356Range2.8Trim Var.0.109749019607843
V(Y[t],d=2,D=2)0.733633116883118Range4.4Trim Var.0.334693877551021
V(Y[t],d=3,D=2)2.51936026936027Range7.4Trim Var.1.32344387755102


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')