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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 computationFri, 27 Nov 2009 12:52:22 -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/Nov/27/t12593515770yvfdqb69e1dliv.htm/, Retrieved Sun, 28 Apr 2024 21:55:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61202, Retrieved Sun, 28 Apr 2024 21:55:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181

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]
-   PD        [Variance Reduction Matrix] [] [2009-11-26 20:53:33] [6998f38352c0f6bc3cf32a17448703fc]
- R P             [Variance Reduction Matrix] [] [2009-11-27 19:52:22] [85bc2b59254337d32abe63c415a20c60] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.7
8.2
8.3
8.5
8.6
8.5
8.2
8.1
7.9
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
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
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.2

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=61202&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=61202&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61202&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)0.435209039548022Range2.6Trim Var.0.295818250377074
V(Y[t],d=1,D=0)0.106306253652835Range1.8Trim Var.0.0421229260935143
V(Y[t],d=2,D=0)0.145214761040532Range1.9Trim Var.0.0876432880844645
V(Y[t],d=3,D=0)0.292067669172932Range2.8Trim Var.0.136125490196078
V(Y[t],d=0,D=1)0.501449468085106Range2.9Trim Var.0.308554006968641
V(Y[t],d=1,D=1)0.101147086031452Range1.5Trim Var.0.0425
V(Y[t],d=2,D=1)0.095328502415459Range1.40000000000000Trim Var.0.0541282051282051
V(Y[t],d=3,D=1)0.147707070707071Range1.7Trim Var.0.079757085020243
V(Y[t],d=0,D=2)1.21368253968254Range4Trim Var.0.807056451612903
V(Y[t],d=1,D=2)0.278319327731092Range2.5Trim Var.0.139118279569892
V(Y[t],d=2,D=2)0.258217468805704Range2.10000000000000Trim Var.0.155126436781609
V(Y[t],d=3,D=2)0.396950757575757Range2.60000000000000Trim Var.0.230049261083743

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.435209039548022 & Range & 2.6 & Trim Var. & 0.295818250377074 \tabularnewline
V(Y[t],d=1,D=0) & 0.106306253652835 & Range & 1.8 & Trim Var. & 0.0421229260935143 \tabularnewline
V(Y[t],d=2,D=0) & 0.145214761040532 & Range & 1.9 & Trim Var. & 0.0876432880844645 \tabularnewline
V(Y[t],d=3,D=0) & 0.292067669172932 & Range & 2.8 & Trim Var. & 0.136125490196078 \tabularnewline
V(Y[t],d=0,D=1) & 0.501449468085106 & Range & 2.9 & Trim Var. & 0.308554006968641 \tabularnewline
V(Y[t],d=1,D=1) & 0.101147086031452 & Range & 1.5 & Trim Var. & 0.0425 \tabularnewline
V(Y[t],d=2,D=1) & 0.095328502415459 & Range & 1.40000000000000 & Trim Var. & 0.0541282051282051 \tabularnewline
V(Y[t],d=3,D=1) & 0.147707070707071 & Range & 1.7 & Trim Var. & 0.079757085020243 \tabularnewline
V(Y[t],d=0,D=2) & 1.21368253968254 & Range & 4 & Trim Var. & 0.807056451612903 \tabularnewline
V(Y[t],d=1,D=2) & 0.278319327731092 & Range & 2.5 & Trim Var. & 0.139118279569892 \tabularnewline
V(Y[t],d=2,D=2) & 0.258217468805704 & Range & 2.10000000000000 & Trim Var. & 0.155126436781609 \tabularnewline
V(Y[t],d=3,D=2) & 0.396950757575757 & Range & 2.60000000000000 & Trim Var. & 0.230049261083743 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61202&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.435209039548022[/C][C]Range[/C][C]2.6[/C][C]Trim Var.[/C][C]0.295818250377074[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.106306253652835[/C][C]Range[/C][C]1.8[/C][C]Trim Var.[/C][C]0.0421229260935143[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.145214761040532[/C][C]Range[/C][C]1.9[/C][C]Trim Var.[/C][C]0.0876432880844645[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.292067669172932[/C][C]Range[/C][C]2.8[/C][C]Trim Var.[/C][C]0.136125490196078[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.501449468085106[/C][C]Range[/C][C]2.9[/C][C]Trim Var.[/C][C]0.308554006968641[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.101147086031452[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0425[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.095328502415459[/C][C]Range[/C][C]1.40000000000000[/C][C]Trim Var.[/C][C]0.0541282051282051[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.147707070707071[/C][C]Range[/C][C]1.7[/C][C]Trim Var.[/C][C]0.079757085020243[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1.21368253968254[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0.807056451612903[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.278319327731092[/C][C]Range[/C][C]2.5[/C][C]Trim Var.[/C][C]0.139118279569892[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.258217468805704[/C][C]Range[/C][C]2.10000000000000[/C][C]Trim Var.[/C][C]0.155126436781609[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.396950757575757[/C][C]Range[/C][C]2.60000000000000[/C][C]Trim Var.[/C][C]0.230049261083743[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61202&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61202&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)0.435209039548022Range2.6Trim Var.0.295818250377074
V(Y[t],d=1,D=0)0.106306253652835Range1.8Trim Var.0.0421229260935143
V(Y[t],d=2,D=0)0.145214761040532Range1.9Trim Var.0.0876432880844645
V(Y[t],d=3,D=0)0.292067669172932Range2.8Trim Var.0.136125490196078
V(Y[t],d=0,D=1)0.501449468085106Range2.9Trim Var.0.308554006968641
V(Y[t],d=1,D=1)0.101147086031452Range1.5Trim Var.0.0425
V(Y[t],d=2,D=1)0.095328502415459Range1.40000000000000Trim Var.0.0541282051282051
V(Y[t],d=3,D=1)0.147707070707071Range1.7Trim Var.0.079757085020243
V(Y[t],d=0,D=2)1.21368253968254Range4Trim Var.0.807056451612903
V(Y[t],d=1,D=2)0.278319327731092Range2.5Trim Var.0.139118279569892
V(Y[t],d=2,D=2)0.258217468805704Range2.10000000000000Trim Var.0.155126436781609
V(Y[t],d=3,D=2)0.396950757575757Range2.60000000000000Trim Var.0.230049261083743


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')