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 07:11:47 -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/t1259935990a74t8jedj0rirr0.htm/, Retrieved Sun, 28 Apr 2024 14:46:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63568, Retrieved Sun, 28 Apr 2024 14:46:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114

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   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
F RMPD      [Variance Reduction Matrix] [ws9 2] [2009-12-04 14:11:47] [84778c3520b84fd5786bccf2e25a5aef] [Current]
Feedback Forum
2009-12-10 16:54:25 [Brecht Thijs] [reply] 
Je conclusie hier is niet volledig correct. De tabel geeft
weer dat de laagste waarde wordt bereikt bij OFWEL
d=1 D=0 OFWEL d=0 D=1 en niet wanneer je d=1 EN D=1
zou stellen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
29.837
29.571
30.167
30.524
30.996
31.033
31.198
30.937
31.649
33.115
34.106
33.926
33.382
32.851
32.948
36.112
36.113
35.210
35.193
34.383
35.349
37.058
38.076
36.630
36.045
35.638
35.114
35.465
35.254
35.299
35.916
36.683
37.288
38.536
38.977
36.407
34.955
34.951
32.680
34.791
34.178
35.213
34.871
35.299
35.443
37.108
36.419
34.471
33.868
34.385
33.643
34.627
32.919
35.500
36.110
37.086
37.711
40.427
39.884
38.512
38.767

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=63568&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=63568&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63568&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)6.08041653715847Range10.856Trim Var.3.5033412670537
V(Y[t],d=1,D=0)1.29667712429379Range5.734Trim Var.0.702855566736548
V(Y[t],d=2,D=0)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=3,D=0)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=0,D=1)1.29667712429379Range5.734Trim Var.0.702855566736548
V(Y[t],d=1,D=1)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=2,D=1)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=3,D=1)27.6144054592732Range25.233Trim Var.14.7431481631372
V(Y[t],d=0,D=2)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=1,D=2)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=2,D=2)27.6144054592732Range25.233Trim Var.14.7431481631372
V(Y[t],d=3,D=2)100.641516254221Range49.873Trim Var.51.4913986024489

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 6.08041653715847 & Range & 10.856 & Trim Var. & 3.5033412670537 \tabularnewline
V(Y[t],d=1,D=0) & 1.29667712429379 & Range & 5.734 & Trim Var. & 0.702855566736548 \tabularnewline
V(Y[t],d=2,D=0) & 2.66803003974284 & Range & 7.641 & Trim Var. & 1.49989592089986 \tabularnewline
V(Y[t],d=3,D=0) & 8.06934201603146 & Range & 14.087 & Trim Var. & 4.30003698152338 \tabularnewline
V(Y[t],d=0,D=1) & 1.29667712429379 & Range & 5.734 & Trim Var. & 0.702855566736548 \tabularnewline
V(Y[t],d=1,D=1) & 2.66803003974284 & Range & 7.641 & Trim Var. & 1.49989592089986 \tabularnewline
V(Y[t],d=2,D=1) & 8.06934201603146 & Range & 14.087 & Trim Var. & 4.30003698152338 \tabularnewline
V(Y[t],d=3,D=1) & 27.6144054592732 & Range & 25.233 & Trim Var. & 14.7431481631372 \tabularnewline
V(Y[t],d=0,D=2) & 2.66803003974284 & Range & 7.641 & Trim Var. & 1.49989592089986 \tabularnewline
V(Y[t],d=1,D=2) & 8.06934201603146 & Range & 14.087 & Trim Var. & 4.30003698152338 \tabularnewline
V(Y[t],d=2,D=2) & 27.6144054592732 & Range & 25.233 & Trim Var. & 14.7431481631372 \tabularnewline
V(Y[t],d=3,D=2) & 100.641516254221 & Range & 49.873 & Trim Var. & 51.4913986024489 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63568&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]6.08041653715847[/C][C]Range[/C][C]10.856[/C][C]Trim Var.[/C][C]3.5033412670537[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1.29667712429379[/C][C]Range[/C][C]5.734[/C][C]Trim Var.[/C][C]0.702855566736548[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]2.66803003974284[/C][C]Range[/C][C]7.641[/C][C]Trim Var.[/C][C]1.49989592089986[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]8.06934201603146[/C][C]Range[/C][C]14.087[/C][C]Trim Var.[/C][C]4.30003698152338[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1.29667712429379[/C][C]Range[/C][C]5.734[/C][C]Trim Var.[/C][C]0.702855566736548[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]2.66803003974284[/C][C]Range[/C][C]7.641[/C][C]Trim Var.[/C][C]1.49989592089986[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]8.06934201603146[/C][C]Range[/C][C]14.087[/C][C]Trim Var.[/C][C]4.30003698152338[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]27.6144054592732[/C][C]Range[/C][C]25.233[/C][C]Trim Var.[/C][C]14.7431481631372[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2.66803003974284[/C][C]Range[/C][C]7.641[/C][C]Trim Var.[/C][C]1.49989592089986[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]8.06934201603146[/C][C]Range[/C][C]14.087[/C][C]Trim Var.[/C][C]4.30003698152338[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]27.6144054592732[/C][C]Range[/C][C]25.233[/C][C]Trim Var.[/C][C]14.7431481631372[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]100.641516254221[/C][C]Range[/C][C]49.873[/C][C]Trim Var.[/C][C]51.4913986024489[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63568&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63568&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)6.08041653715847Range10.856Trim Var.3.5033412670537
V(Y[t],d=1,D=0)1.29667712429379Range5.734Trim Var.0.702855566736548
V(Y[t],d=2,D=0)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=3,D=0)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=0,D=1)1.29667712429379Range5.734Trim Var.0.702855566736548
V(Y[t],d=1,D=1)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=2,D=1)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=3,D=1)27.6144054592732Range25.233Trim Var.14.7431481631372
V(Y[t],d=0,D=2)2.66803003974284Range7.641Trim Var.1.49989592089986
V(Y[t],d=1,D=2)8.06934201603146Range14.087Trim Var.4.30003698152338
V(Y[t],d=2,D=2)27.6144054592732Range25.233Trim Var.14.7431481631372
V(Y[t],d=3,D=2)100.641516254221Range49.873Trim Var.51.4913986024489


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')