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, 12 Dec 2010 15:58:57 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292169436g1g2ojazgg7726a.htm/, Retrieved Tue, 07 May 2024 07:37:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108531, Retrieved Tue, 07 May 2024 07:37:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

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] [VRM aanvoer] [2010-12-11 18:33:45] [04d4386fa51dbd2ef12d0f1f80644886]
-    D    [Variance Reduction Matrix] [VRM interventie] [2010-12-12 15:58:57] [de8ccb310fbbdc3d90ae577a3e011cf9] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16
29
22
30
20
39
18
9,6
10,2
20,2
50
120
19,8
18
3
11
15
27
28
14
5,6
6,5
8,5
87,9
5,8
25,2
7,5
13,7
34
17
9
9,2
5
24
40
86,5
0,54
14
4,8
28
16
5,8
16
9,1
6
17
26
99,6
41
72
23
42
40
18
45
18
2
10
13,6
160

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108531&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108531&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108531&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Variance Reduction Matrix
V(Y[t],d=0,D=0)890.453199548023Range159.46Trim Var.343.565090845563
V(Y[t],d=1,D=0)1378.98871677382Range246.6Trim Var.437.858147750363
V(Y[t],d=2,D=0)3368.52690526316Range313Trim Var.1527.4383505279
V(Y[t],d=3,D=0)10832.2524348371Range507.5Trim Var.5437.51522164706
V(Y[t],d=0,D=1)396.571880141844Range101.9Trim Var.159.84771051282
V(Y[t],d=1,D=1)383.040294542091Range112.6Trim Var.179.167323902439
V(Y[t],d=2,D=1)696.973918454106Range135.54Trim Var.369.156906666667
V(Y[t],d=3,D=1)1767.85954545455Range158.44Trim Var.1139.45569230769
V(Y[t],d=0,D=2)697.321527301587Range118.5Trim Var.376.001909677419
V(Y[t],d=1,D=2)814.48305882353Range108.6Trim Var.577.597397849462
V(Y[t],d=2,D=2)1592.64395900178Range168.5Trim Var.918.982017931035
V(Y[t],d=3,D=2)4311.47129166667Range276.2Trim Var.2734.38399802956

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 890.453199548023 & Range & 159.46 & Trim Var. & 343.565090845563 \tabularnewline
V(Y[t],d=1,D=0) & 1378.98871677382 & Range & 246.6 & Trim Var. & 437.858147750363 \tabularnewline
V(Y[t],d=2,D=0) & 3368.52690526316 & Range & 313 & Trim Var. & 1527.4383505279 \tabularnewline
V(Y[t],d=3,D=0) & 10832.2524348371 & Range & 507.5 & Trim Var. & 5437.51522164706 \tabularnewline
V(Y[t],d=0,D=1) & 396.571880141844 & Range & 101.9 & Trim Var. & 159.84771051282 \tabularnewline
V(Y[t],d=1,D=1) & 383.040294542091 & Range & 112.6 & Trim Var. & 179.167323902439 \tabularnewline
V(Y[t],d=2,D=1) & 696.973918454106 & Range & 135.54 & Trim Var. & 369.156906666667 \tabularnewline
V(Y[t],d=3,D=1) & 1767.85954545455 & Range & 158.44 & Trim Var. & 1139.45569230769 \tabularnewline
V(Y[t],d=0,D=2) & 697.321527301587 & Range & 118.5 & Trim Var. & 376.001909677419 \tabularnewline
V(Y[t],d=1,D=2) & 814.48305882353 & Range & 108.6 & Trim Var. & 577.597397849462 \tabularnewline
V(Y[t],d=2,D=2) & 1592.64395900178 & Range & 168.5 & Trim Var. & 918.982017931035 \tabularnewline
V(Y[t],d=3,D=2) & 4311.47129166667 & Range & 276.2 & Trim Var. & 2734.38399802956 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108531&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]890.453199548023[/C][C]Range[/C][C]159.46[/C][C]Trim Var.[/C][C]343.565090845563[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1378.98871677382[/C][C]Range[/C][C]246.6[/C][C]Trim Var.[/C][C]437.858147750363[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]3368.52690526316[/C][C]Range[/C][C]313[/C][C]Trim Var.[/C][C]1527.4383505279[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]10832.2524348371[/C][C]Range[/C][C]507.5[/C][C]Trim Var.[/C][C]5437.51522164706[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]396.571880141844[/C][C]Range[/C][C]101.9[/C][C]Trim Var.[/C][C]159.84771051282[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]383.040294542091[/C][C]Range[/C][C]112.6[/C][C]Trim Var.[/C][C]179.167323902439[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]696.973918454106[/C][C]Range[/C][C]135.54[/C][C]Trim Var.[/C][C]369.156906666667[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1767.85954545455[/C][C]Range[/C][C]158.44[/C][C]Trim Var.[/C][C]1139.45569230769[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]697.321527301587[/C][C]Range[/C][C]118.5[/C][C]Trim Var.[/C][C]376.001909677419[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]814.48305882353[/C][C]Range[/C][C]108.6[/C][C]Trim Var.[/C][C]577.597397849462[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1592.64395900178[/C][C]Range[/C][C]168.5[/C][C]Trim Var.[/C][C]918.982017931035[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]4311.47129166667[/C][C]Range[/C][C]276.2[/C][C]Trim Var.[/C][C]2734.38399802956[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108531&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108531&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)890.453199548023Range159.46Trim Var.343.565090845563
V(Y[t],d=1,D=0)1378.98871677382Range246.6Trim Var.437.858147750363
V(Y[t],d=2,D=0)3368.52690526316Range313Trim Var.1527.4383505279
V(Y[t],d=3,D=0)10832.2524348371Range507.5Trim Var.5437.51522164706
V(Y[t],d=0,D=1)396.571880141844Range101.9Trim Var.159.84771051282
V(Y[t],d=1,D=1)383.040294542091Range112.6Trim Var.179.167323902439
V(Y[t],d=2,D=1)696.973918454106Range135.54Trim Var.369.156906666667
V(Y[t],d=3,D=1)1767.85954545455Range158.44Trim Var.1139.45569230769
V(Y[t],d=0,D=2)697.321527301587Range118.5Trim Var.376.001909677419
V(Y[t],d=1,D=2)814.48305882353Range108.6Trim Var.577.597397849462
V(Y[t],d=2,D=2)1592.64395900178Range168.5Trim Var.918.982017931035
V(Y[t],d=3,D=2)4311.47129166667Range276.2Trim Var.2734.38399802956


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')