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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 computationTue, 01 Dec 2009 07:35:15 -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/01/t12596781825qmgxtqai4gsuvx.htm/, Retrieved Sat, 20 Apr 2024 10:56:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62057, Retrieved Sat, 20 Apr 2024 10:56:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Variance Reduction Matrix] [] [2009-11-27 14:44:05] [b98453cac15ba1066b407e146608df68]
-    D      [Variance Reduction Matrix] [SHW WS9] [2009-12-01 14:35:15] [b7e46d23597387652ca7420fdeb9acca] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.6
8.5
8.3
7.8
7.8
8
8.6
8.9
8.9
8.6
8.3
8.3
8.3
8.4
8.5
8.4
8.6
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.5
8.6
8.4
8.1
8
8
8
8
7.9
7.8
7.8
7.9
8.1
8
7.6
7.3
7
6.8
7
7.1
7.2
7.1
6.9
6.7
6.7
6.6
6.9
7.3
7.5
7.3
7.1
6.9
7.1

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=62057&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=62057&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62057&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)0.431581920903955Range2.3Trim Var.0.335657142857143
V(Y[t],d=1,D=0)0.0384804208065459Range1.1Trim Var.0.0185960784313725
V(Y[t],d=2,D=0)0.0412008469449486Range0.900000000000001Trim Var.0.0255673469387754
V(Y[t],d=3,D=0)0.0790288220551378Range1.5Trim Var.0.0437019607843137
V(Y[t],d=0,D=1)0.283364361702128Range2.2Trim Var.0.138677462887989
V(Y[t],d=1,D=1)0.0691119333950046Range1.3Trim Var.0.0304993252361673
V(Y[t],d=2,D=1)0.0588840579710145Range1.20000000000000Trim Var.0.0302307692307692
V(Y[t],d=3,D=1)0.0870000000000002Range1.30000000000000Trim Var.0.0519973009446694
V(Y[t],d=0,D=2)0.454Range2.7Trim Var.0.264506048387097
V(Y[t],d=1,D=2)0.115579831932773Range1.50000000000000Trim Var.0.070064516129032
V(Y[t],d=2,D=2)0.0963279857397506Range1.50000000000000Trim Var.0.049609195402299
V(Y[t],d=3,D=2)0.159223484848486Range1.90000000000001Trim Var.0.0814778325123155

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.431581920903955 & Range & 2.3 & Trim Var. & 0.335657142857143 \tabularnewline
V(Y[t],d=1,D=0) & 0.0384804208065459 & Range & 1.1 & Trim Var. & 0.0185960784313725 \tabularnewline
V(Y[t],d=2,D=0) & 0.0412008469449486 & Range & 0.900000000000001 & Trim Var. & 0.0255673469387754 \tabularnewline
V(Y[t],d=3,D=0) & 0.0790288220551378 & Range & 1.5 & Trim Var. & 0.0437019607843137 \tabularnewline
V(Y[t],d=0,D=1) & 0.283364361702128 & Range & 2.2 & Trim Var. & 0.138677462887989 \tabularnewline
V(Y[t],d=1,D=1) & 0.0691119333950046 & Range & 1.3 & Trim Var. & 0.0304993252361673 \tabularnewline
V(Y[t],d=2,D=1) & 0.0588840579710145 & Range & 1.20000000000000 & Trim Var. & 0.0302307692307692 \tabularnewline
V(Y[t],d=3,D=1) & 0.0870000000000002 & Range & 1.30000000000000 & Trim Var. & 0.0519973009446694 \tabularnewline
V(Y[t],d=0,D=2) & 0.454 & Range & 2.7 & Trim Var. & 0.264506048387097 \tabularnewline
V(Y[t],d=1,D=2) & 0.115579831932773 & Range & 1.50000000000000 & Trim Var. & 0.070064516129032 \tabularnewline
V(Y[t],d=2,D=2) & 0.0963279857397506 & Range & 1.50000000000000 & Trim Var. & 0.049609195402299 \tabularnewline
V(Y[t],d=3,D=2) & 0.159223484848486 & Range & 1.90000000000001 & Trim Var. & 0.0814778325123155 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62057&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.431581920903955[/C][C]Range[/C][C]2.3[/C][C]Trim Var.[/C][C]0.335657142857143[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.0384804208065459[/C][C]Range[/C][C]1.1[/C][C]Trim Var.[/C][C]0.0185960784313725[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0412008469449486[/C][C]Range[/C][C]0.900000000000001[/C][C]Trim Var.[/C][C]0.0255673469387754[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.0790288220551378[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.0437019607843137[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.283364361702128[/C][C]Range[/C][C]2.2[/C][C]Trim Var.[/C][C]0.138677462887989[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0691119333950046[/C][C]Range[/C][C]1.3[/C][C]Trim Var.[/C][C]0.0304993252361673[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0588840579710145[/C][C]Range[/C][C]1.20000000000000[/C][C]Trim Var.[/C][C]0.0302307692307692[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.0870000000000002[/C][C]Range[/C][C]1.30000000000000[/C][C]Trim Var.[/C][C]0.0519973009446694[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.454[/C][C]Range[/C][C]2.7[/C][C]Trim Var.[/C][C]0.264506048387097[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.115579831932773[/C][C]Range[/C][C]1.50000000000000[/C][C]Trim Var.[/C][C]0.070064516129032[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.0963279857397506[/C][C]Range[/C][C]1.50000000000000[/C][C]Trim Var.[/C][C]0.049609195402299[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.159223484848486[/C][C]Range[/C][C]1.90000000000001[/C][C]Trim Var.[/C][C]0.0814778325123155[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62057&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62057&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)0.431581920903955Range2.3Trim Var.0.335657142857143
V(Y[t],d=1,D=0)0.0384804208065459Range1.1Trim Var.0.0185960784313725
V(Y[t],d=2,D=0)0.0412008469449486Range0.900000000000001Trim Var.0.0255673469387754
V(Y[t],d=3,D=0)0.0790288220551378Range1.5Trim Var.0.0437019607843137
V(Y[t],d=0,D=1)0.283364361702128Range2.2Trim Var.0.138677462887989
V(Y[t],d=1,D=1)0.0691119333950046Range1.3Trim Var.0.0304993252361673
V(Y[t],d=2,D=1)0.0588840579710145Range1.20000000000000Trim Var.0.0302307692307692
V(Y[t],d=3,D=1)0.0870000000000002Range1.30000000000000Trim Var.0.0519973009446694
V(Y[t],d=0,D=2)0.454Range2.7Trim Var.0.264506048387097
V(Y[t],d=1,D=2)0.115579831932773Range1.50000000000000Trim Var.0.070064516129032
V(Y[t],d=2,D=2)0.0963279857397506Range1.50000000000000Trim Var.0.049609195402299
V(Y[t],d=3,D=2)0.159223484848486Range1.90000000000001Trim Var.0.0814778325123155


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')