FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationTue, 23 Dec 2008 12:02:37 -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/23/t12300590365hxag90sxcgrszy.htm/, Retrieved Sun, 19 May 2024 12:42:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36373, Retrieved Sun, 19 May 2024 12:42:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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] [Huur] [2008-12-23 19:02:37] [4feaea4b7a1dc404ed7b3613ea3a9f56] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100,95
101,26
101,42
101,68
101,75
101,89
102,07
102,22
102,45
102,62
102,67
102,86
104,78
104,87
105,06
105,14
105,32
105,54
105,68
105,77
106,07
106,03
106,13
106,28
106,61
106,74
107,01
107,1
107,28
107,4
107,59
107,69
107,78
108,02
108
108,07
108,36
108,74
108,99
109,21
109,31
109,41
109,54
109,81
109,85
110,01
110,23

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=36373&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=36373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36373&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)7.84722220166512Range9.28Trim Var.6.0739587804878
V(Y[t],d=1,D=0)0.0751569082125606Range1.95999999999999Trim Var.0.00509429487179512
V(Y[t],d=2,D=0)0.161670909090910Range3.56Trim Var.0.0130360323886643
V(Y[t],d=3,D=0)0.492899947145878Range5.49Trim Var.0.0420020625889066
V(Y[t],d=0,D=1)0.621919663865546Range2.11999999999999Trim Var.0.561671827956989
V(Y[t],d=1,D=1)0.0897729055258468Range1.86999999999999Trim Var.0.0109305747126436
V(Y[t],d=2,D=1)0.198630871212121Range3.18000000000001Trim Var.0.0321500000000000
V(Y[t],d=3,D=1)0.606527318548384Range4.76999999999998Trim Var.0.129819444444441
V(Y[t],d=0,D=2)0.878829249011856Range2.36Trim Var.0.776058479532166
V(Y[t],d=1,D=2)0.145992207792207Range1.90999999999998Trim Var.0.024541176470588
V(Y[t],d=2,D=2)0.341546190476187Range2.93000000000004Trim Var.0.0922014705882296
V(Y[t],d=3,D=2)1.00721342105262Range4.3900000000001Trim Var.0.479047058823497

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 7.84722220166512 & Range & 9.28 & Trim Var. & 6.0739587804878 \tabularnewline
V(Y[t],d=1,D=0) & 0.0751569082125606 & Range & 1.95999999999999 & Trim Var. & 0.00509429487179512 \tabularnewline
V(Y[t],d=2,D=0) & 0.161670909090910 & Range & 3.56 & Trim Var. & 0.0130360323886643 \tabularnewline
V(Y[t],d=3,D=0) & 0.492899947145878 & Range & 5.49 & Trim Var. & 0.0420020625889066 \tabularnewline
V(Y[t],d=0,D=1) & 0.621919663865546 & Range & 2.11999999999999 & Trim Var. & 0.561671827956989 \tabularnewline
V(Y[t],d=1,D=1) & 0.0897729055258468 & Range & 1.86999999999999 & Trim Var. & 0.0109305747126436 \tabularnewline
V(Y[t],d=2,D=1) & 0.198630871212121 & Range & 3.18000000000001 & Trim Var. & 0.0321500000000000 \tabularnewline
V(Y[t],d=3,D=1) & 0.606527318548384 & Range & 4.76999999999998 & Trim Var. & 0.129819444444441 \tabularnewline
V(Y[t],d=0,D=2) & 0.878829249011856 & Range & 2.36 & Trim Var. & 0.776058479532166 \tabularnewline
V(Y[t],d=1,D=2) & 0.145992207792207 & Range & 1.90999999999998 & Trim Var. & 0.024541176470588 \tabularnewline
V(Y[t],d=2,D=2) & 0.341546190476187 & Range & 2.93000000000004 & Trim Var. & 0.0922014705882296 \tabularnewline
V(Y[t],d=3,D=2) & 1.00721342105262 & Range & 4.3900000000001 & Trim Var. & 0.479047058823497 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36373&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]7.84722220166512[/C][C]Range[/C][C]9.28[/C][C]Trim Var.[/C][C]6.0739587804878[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0751569082125606[/C][C]Range[/C][C]1.95999999999999[/C][C]Trim Var.[/C][C]0.00509429487179512[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.161670909090910[/C][C]Range[/C][C]3.56[/C][C]Trim Var.[/C][C]0.0130360323886643[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.492899947145878[/C][C]Range[/C][C]5.49[/C][C]Trim Var.[/C][C]0.0420020625889066[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.621919663865546[/C][C]Range[/C][C]2.11999999999999[/C][C]Trim Var.[/C][C]0.561671827956989[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0897729055258468[/C][C]Range[/C][C]1.86999999999999[/C][C]Trim Var.[/C][C]0.0109305747126436[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.198630871212121[/C][C]Range[/C][C]3.18000000000001[/C][C]Trim Var.[/C][C]0.0321500000000000[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.606527318548384[/C][C]Range[/C][C]4.76999999999998[/C][C]Trim Var.[/C][C]0.129819444444441[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.878829249011856[/C][C]Range[/C][C]2.36[/C][C]Trim Var.[/C][C]0.776058479532166[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.145992207792207[/C][C]Range[/C][C]1.90999999999998[/C][C]Trim Var.[/C][C]0.024541176470588[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.341546190476187[/C][C]Range[/C][C]2.93000000000004[/C][C]Trim Var.[/C][C]0.0922014705882296[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1.00721342105262[/C][C]Range[/C][C]4.3900000000001[/C][C]Trim Var.[/C][C]0.479047058823497[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36373&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)7.84722220166512Range9.28Trim Var.6.0739587804878
V(Y[t],d=1,D=0)0.0751569082125606Range1.95999999999999Trim Var.0.00509429487179512
V(Y[t],d=2,D=0)0.161670909090910Range3.56Trim Var.0.0130360323886643
V(Y[t],d=3,D=0)0.492899947145878Range5.49Trim Var.0.0420020625889066
V(Y[t],d=0,D=1)0.621919663865546Range2.11999999999999Trim Var.0.561671827956989
V(Y[t],d=1,D=1)0.0897729055258468Range1.86999999999999Trim Var.0.0109305747126436
V(Y[t],d=2,D=1)0.198630871212121Range3.18000000000001Trim Var.0.0321500000000000
V(Y[t],d=3,D=1)0.606527318548384Range4.76999999999998Trim Var.0.129819444444441
V(Y[t],d=0,D=2)0.878829249011856Range2.36Trim Var.0.776058479532166
V(Y[t],d=1,D=2)0.145992207792207Range1.90999999999998Trim Var.0.024541176470588
V(Y[t],d=2,D=2)0.341546190476187Range2.93000000000004Trim Var.0.0922014705882296
V(Y[t],d=3,D=2)1.00721342105262Range4.3900000000001Trim Var.0.479047058823497


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')