FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 04 Dec 2009 13:51:16 -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/Dec/04/t1259959911ti64i0uqkpfo25a.htm/, Retrieved Sat, 27 Apr 2024 17:46:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64151, Retrieved Sat, 27 Apr 2024 17:46:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

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]
-    D        [Variance Reduction Matrix] [SHWS8methode2] [2009-11-24 17:48:12] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D            [Variance Reduction Matrix] [SHWWS8review] [2009-12-04 20:51:16] [db49399df1e4a3dbe31268849cebfd7f] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3.75
3.75
3.55
3.5
3.5
3.1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3.21
3.25
3.25
3.45
3.5
3.5
3.64
3.75
3.93
4
4.17
4.25
4.39
4.5
4.5
4.65
4.75
4.75
4.9
5
5
5
5
5
5
5
5
5
5
5
5
5.18
5.25
5.25
4.49
3.92
3.25

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=64151&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=64151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64151&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)0.706788556338028Range2.25Trim Var.0.296518915343915
V(Y[t],d=1,D=0)0.0269554124748491Range0.97Trim Var.0.00338438300051203
V(Y[t],d=2,D=0)0.0184563354037267Range1.06Trim Var.0.00431433104177684
V(Y[t],d=3,D=0)0.0485419863597613Range1.64Trim Var.0.0128586885245902
V(Y[t],d=0,D=1)0.414706751412429Range3.01Trim Var.0.204203486394558
V(Y[t],d=1,D=1)0.0331905318527177Range1.16Trim Var.0.00600976621417798
V(Y[t],d=2,D=1)0.0243817604355717Range1.16Trim Var.0.0082972549019608
V(Y[t],d=3,D=1)0.0660218045112782Range1.65Trim Var.0.0267403137254902
V(Y[t],d=0,D=2)0.696029078014184Range3.61Trim Var.0.411008653846154
V(Y[t],d=1,D=2)0.0370154486586494Range0.84Trim Var.0.0194751219512195
V(Y[t],d=2,D=2)0.0387109661835749Range0.97Trim Var.0.0198532692307693
V(Y[t],d=3,D=2)0.103541616161616Range1.24000000000000Trim Var.0.063703778677463

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.706788556338028 & Range & 2.25 & Trim Var. & 0.296518915343915 \tabularnewline
V(Y[t],d=1,D=0) & 0.0269554124748491 & Range & 0.97 & Trim Var. & 0.00338438300051203 \tabularnewline
V(Y[t],d=2,D=0) & 0.0184563354037267 & Range & 1.06 & Trim Var. & 0.00431433104177684 \tabularnewline
V(Y[t],d=3,D=0) & 0.0485419863597613 & Range & 1.64 & Trim Var. & 0.0128586885245902 \tabularnewline
V(Y[t],d=0,D=1) & 0.414706751412429 & Range & 3.01 & Trim Var. & 0.204203486394558 \tabularnewline
V(Y[t],d=1,D=1) & 0.0331905318527177 & Range & 1.16 & Trim Var. & 0.00600976621417798 \tabularnewline
V(Y[t],d=2,D=1) & 0.0243817604355717 & Range & 1.16 & Trim Var. & 0.0082972549019608 \tabularnewline
V(Y[t],d=3,D=1) & 0.0660218045112782 & Range & 1.65 & Trim Var. & 0.0267403137254902 \tabularnewline
V(Y[t],d=0,D=2) & 0.696029078014184 & Range & 3.61 & Trim Var. & 0.411008653846154 \tabularnewline
V(Y[t],d=1,D=2) & 0.0370154486586494 & Range & 0.84 & Trim Var. & 0.0194751219512195 \tabularnewline
V(Y[t],d=2,D=2) & 0.0387109661835749 & Range & 0.97 & Trim Var. & 0.0198532692307693 \tabularnewline
V(Y[t],d=3,D=2) & 0.103541616161616 & Range & 1.24000000000000 & Trim Var. & 0.063703778677463 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64151&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.706788556338028[/C][C]Range[/C][C]2.25[/C][C]Trim Var.[/C][C]0.296518915343915[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0269554124748491[/C][C]Range[/C][C]0.97[/C][C]Trim Var.[/C][C]0.00338438300051203[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0184563354037267[/C][C]Range[/C][C]1.06[/C][C]Trim Var.[/C][C]0.00431433104177684[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.0485419863597613[/C][C]Range[/C][C]1.64[/C][C]Trim Var.[/C][C]0.0128586885245902[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.414706751412429[/C][C]Range[/C][C]3.01[/C][C]Trim Var.[/C][C]0.204203486394558[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0331905318527177[/C][C]Range[/C][C]1.16[/C][C]Trim Var.[/C][C]0.00600976621417798[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0243817604355717[/C][C]Range[/C][C]1.16[/C][C]Trim Var.[/C][C]0.0082972549019608[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.0660218045112782[/C][C]Range[/C][C]1.65[/C][C]Trim Var.[/C][C]0.0267403137254902[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.696029078014184[/C][C]Range[/C][C]3.61[/C][C]Trim Var.[/C][C]0.411008653846154[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.0370154486586494[/C][C]Range[/C][C]0.84[/C][C]Trim Var.[/C][C]0.0194751219512195[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.0387109661835749[/C][C]Range[/C][C]0.97[/C][C]Trim Var.[/C][C]0.0198532692307693[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.103541616161616[/C][C]Range[/C][C]1.24000000000000[/C][C]Trim Var.[/C][C]0.063703778677463[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64151&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)0.706788556338028Range2.25Trim Var.0.296518915343915
V(Y[t],d=1,D=0)0.0269554124748491Range0.97Trim Var.0.00338438300051203
V(Y[t],d=2,D=0)0.0184563354037267Range1.06Trim Var.0.00431433104177684
V(Y[t],d=3,D=0)0.0485419863597613Range1.64Trim Var.0.0128586885245902
V(Y[t],d=0,D=1)0.414706751412429Range3.01Trim Var.0.204203486394558
V(Y[t],d=1,D=1)0.0331905318527177Range1.16Trim Var.0.00600976621417798
V(Y[t],d=2,D=1)0.0243817604355717Range1.16Trim Var.0.0082972549019608
V(Y[t],d=3,D=1)0.0660218045112782Range1.65Trim Var.0.0267403137254902
V(Y[t],d=0,D=2)0.696029078014184Range3.61Trim Var.0.411008653846154
V(Y[t],d=1,D=2)0.0370154486586494Range0.84Trim Var.0.0194751219512195
V(Y[t],d=2,D=2)0.0387109661835749Range0.97Trim Var.0.0198532692307693
V(Y[t],d=3,D=2)0.103541616161616Range1.24000000000000Trim Var.0.063703778677463


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')