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 computationSun, 30 Nov 2008 12:32:42 -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/Nov/30/t122807372606flzzn8s9f356d.htm/, Retrieved Sun, 19 May 2024 02:24:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26707, Retrieved Sun, 19 May 2024 02:24:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsvariance reduction matrix totaal % werkzoekende vrouwen
Estimated Impact161

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:05:16] [b98453cac15ba1066b407e146608df68]
- RMPD    [Variance Reduction Matrix] [variance reductio...] [2008-11-30 19:32:42] [f4b2017b314c03698059f43b95818e67] [Current]
- RM        [Standard Deviation-Mean Plot] [Lambda reeks2 q8] [2008-11-30 22:58:55] [b635de6fc42b001d22cbe6e730fec936]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9.5
9.1
9
9.3
9.9
9.8
9.4
8.3
8
8.5
10.4
11.1
10.9
9.9
9.2
9.2
9.5
9.6
9.5
9.1
8.9
9
10.1
10.3
10.2
9.6
9.2
9.3
9.4
9.4
9.2
9
9
9
9.8
10
9.9
9.3
9
9
9.1
9.1
9.1
9.2
8.8
8.3
8.4
8.1
7.8
7.9
7.9
8
7.9
7.5
7.2
6.9
6.6
6.7
7.3
7.5

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=26707&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=26707&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26707&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)0.965590395480226Range4.5Trim Var.0.596761006289308
V(Y[t],d=1,D=0)0.219520748100526Range3Trim Var.0.0859651669085631
V(Y[t],d=2,D=0)0.250066545674531Range2.6Trim Var.0.139137254901961
V(Y[t],d=3,D=0)0.458239348370927Range4.1Trim Var.0.183529411764706
V(Y[t],d=0,D=1)0.684960106382979Range3.7Trim Var.0.395447154471545
V(Y[t],d=1,D=1)0.135975948196115Range1.5Trim Var.0.0855487804878048
V(Y[t],d=2,D=1)0.104526570048309Range1.60000000000000Trim Var.0.0561474358974359
V(Y[t],d=3,D=1)0.175909090909090Range2.00000000000000Trim Var.0.0832388663967609
V(Y[t],d=0,D=2)0.71057142857143Range3.8Trim Var.0.457056451612904
V(Y[t],d=1,D=2)0.280285714285714Range1.9Trim Var.0.205806451612903
V(Y[t],d=2,D=2)0.166666666666666Range1.89999999999999Trim Var.0.0820229885057473
V(Y[t],d=3,D=2)0.284678030303028Range2.79999999999999Trim Var.0.143374384236452

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.965590395480226 & Range & 4.5 & Trim Var. & 0.596761006289308 \tabularnewline
V(Y[t],d=1,D=0) & 0.219520748100526 & Range & 3 & Trim Var. & 0.0859651669085631 \tabularnewline
V(Y[t],d=2,D=0) & 0.250066545674531 & Range & 2.6 & Trim Var. & 0.139137254901961 \tabularnewline
V(Y[t],d=3,D=0) & 0.458239348370927 & Range & 4.1 & Trim Var. & 0.183529411764706 \tabularnewline
V(Y[t],d=0,D=1) & 0.684960106382979 & Range & 3.7 & Trim Var. & 0.395447154471545 \tabularnewline
V(Y[t],d=1,D=1) & 0.135975948196115 & Range & 1.5 & Trim Var. & 0.0855487804878048 \tabularnewline
V(Y[t],d=2,D=1) & 0.104526570048309 & Range & 1.60000000000000 & Trim Var. & 0.0561474358974359 \tabularnewline
V(Y[t],d=3,D=1) & 0.175909090909090 & Range & 2.00000000000000 & Trim Var. & 0.0832388663967609 \tabularnewline
V(Y[t],d=0,D=2) & 0.71057142857143 & Range & 3.8 & Trim Var. & 0.457056451612904 \tabularnewline
V(Y[t],d=1,D=2) & 0.280285714285714 & Range & 1.9 & Trim Var. & 0.205806451612903 \tabularnewline
V(Y[t],d=2,D=2) & 0.166666666666666 & Range & 1.89999999999999 & Trim Var. & 0.0820229885057473 \tabularnewline
V(Y[t],d=3,D=2) & 0.284678030303028 & Range & 2.79999999999999 & Trim Var. & 0.143374384236452 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26707&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.965590395480226[/C][C]Range[/C][C]4.5[/C][C]Trim Var.[/C][C]0.596761006289308[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.219520748100526[/C][C]Range[/C][C]3[/C][C]Trim Var.[/C][C]0.0859651669085631[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.250066545674531[/C][C]Range[/C][C]2.6[/C][C]Trim Var.[/C][C]0.139137254901961[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.458239348370927[/C][C]Range[/C][C]4.1[/C][C]Trim Var.[/C][C]0.183529411764706[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.684960106382979[/C][C]Range[/C][C]3.7[/C][C]Trim Var.[/C][C]0.395447154471545[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.135975948196115[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0855487804878048[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.104526570048309[/C][C]Range[/C][C]1.60000000000000[/C][C]Trim Var.[/C][C]0.0561474358974359[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.175909090909090[/C][C]Range[/C][C]2.00000000000000[/C][C]Trim Var.[/C][C]0.0832388663967609[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.71057142857143[/C][C]Range[/C][C]3.8[/C][C]Trim Var.[/C][C]0.457056451612904[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.280285714285714[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.205806451612903[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.166666666666666[/C][C]Range[/C][C]1.89999999999999[/C][C]Trim Var.[/C][C]0.0820229885057473[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.284678030303028[/C][C]Range[/C][C]2.79999999999999[/C][C]Trim Var.[/C][C]0.143374384236452[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26707&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26707&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)0.965590395480226Range4.5Trim Var.0.596761006289308
V(Y[t],d=1,D=0)0.219520748100526Range3Trim Var.0.0859651669085631
V(Y[t],d=2,D=0)0.250066545674531Range2.6Trim Var.0.139137254901961
V(Y[t],d=3,D=0)0.458239348370927Range4.1Trim Var.0.183529411764706
V(Y[t],d=0,D=1)0.684960106382979Range3.7Trim Var.0.395447154471545
V(Y[t],d=1,D=1)0.135975948196115Range1.5Trim Var.0.0855487804878048
V(Y[t],d=2,D=1)0.104526570048309Range1.60000000000000Trim Var.0.0561474358974359
V(Y[t],d=3,D=1)0.175909090909090Range2.00000000000000Trim Var.0.0832388663967609
V(Y[t],d=0,D=2)0.71057142857143Range3.8Trim Var.0.457056451612904
V(Y[t],d=1,D=2)0.280285714285714Range1.9Trim Var.0.205806451612903
V(Y[t],d=2,D=2)0.166666666666666Range1.89999999999999Trim Var.0.0820229885057473
V(Y[t],d=3,D=2)0.284678030303028Range2.79999999999999Trim Var.0.143374384236452


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')