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 computationSat, 13 Dec 2008 07:11:36 -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/Dec/13/t122917755148jnit2uwfw0qv6.htm/, Retrieved Sun, 19 May 2024 04:25:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33107, Retrieved Sun, 19 May 2024 04:25:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [central tendency:...] [2008-12-12 13:03:18] [7670c7b8188a1e79d237811892660e29]
- RMPD  [Notched Boxplots] [Notched boxplots] [2008-12-13 12:48:40] [7670c7b8188a1e79d237811892660e29]
-   PD    [Notched Boxplots] [Notched boxplots:...] [2008-12-13 13:10:25] [7670c7b8188a1e79d237811892660e29]
-   PD      [Notched Boxplots] [Notched boxplots:...] [2008-12-13 13:22:38] [7670c7b8188a1e79d237811892660e29]
- RMPD          [Variance Reduction Matrix] [VRM: Goudprijs (E...] [2008-12-13 14:11:36] [81dc0ee785f23261ccd6abf7aef76c2a] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10070
10137
9984
9732
9103
9155
9308
9394
9948
10177
10002
9728
10002
10063
10190,6
9960
10236
10893
10756
10940
10997
10827
10166
10186
10457
10368
10244
10511
10812
10738
10171
9721
9897
9828
9924
10371
10846
10413
10709
10662
10570
10297
10635
10872
10296
10383
10431
10574
10653
10805
10872
10625
10407
10463
10556
10646
10702
11353
11346
11451
11964
12574
13031
13812
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394
20148
20108
18584
18441
18391
19178
18079
18483
19644
19195

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=33107&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=33107&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33107&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)10772034.6537291Range11045Trim Var.8548277.54480082
V(Y[t],d=1,D=0)264883.328714496Range3545Trim Var.118632.592680251
V(Y[t],d=2,D=0)544571.754716495Range5733Trim Var.209137.263074044
V(Y[t],d=3,D=0)1568691.46903509Range9604Trim Var.534464.735239398
V(Y[t],d=0,D=1)2629747.06354451Range7581Trim Var.1643586.94740943
V(Y[t],d=1,D=1)502800.134615595Range4219Trim Var.260710.360814035
V(Y[t],d=2,D=1)1069051.44134454Range6986Trim Var.420881.186306306
V(Y[t],d=3,D=1)3190474.19503729Range12624Trim Var.1143716.62924843
V(Y[t],d=0,D=2)6231003.0768Range13445Trim Var.3385301.81335142
V(Y[t],d=1,D=2)1479944.03954091Range7330Trim Var.812759.061864802
V(Y[t],d=2,D=2)3190095.85319635Range12624Trim Var.1306616.52836538
V(Y[t],d=3,D=2)9974597.10760563Range21239Trim Var.3649350.69102183

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 10772034.6537291 & Range & 11045 & Trim Var. & 8548277.54480082 \tabularnewline
V(Y[t],d=1,D=0) & 264883.328714496 & Range & 3545 & Trim Var. & 118632.592680251 \tabularnewline
V(Y[t],d=2,D=0) & 544571.754716495 & Range & 5733 & Trim Var. & 209137.263074044 \tabularnewline
V(Y[t],d=3,D=0) & 1568691.46903509 & Range & 9604 & Trim Var. & 534464.735239398 \tabularnewline
V(Y[t],d=0,D=1) & 2629747.06354451 & Range & 7581 & Trim Var. & 1643586.94740943 \tabularnewline
V(Y[t],d=1,D=1) & 502800.134615595 & Range & 4219 & Trim Var. & 260710.360814035 \tabularnewline
V(Y[t],d=2,D=1) & 1069051.44134454 & Range & 6986 & Trim Var. & 420881.186306306 \tabularnewline
V(Y[t],d=3,D=1) & 3190474.19503729 & Range & 12624 & Trim Var. & 1143716.62924843 \tabularnewline
V(Y[t],d=0,D=2) & 6231003.0768 & Range & 13445 & Trim Var. & 3385301.81335142 \tabularnewline
V(Y[t],d=1,D=2) & 1479944.03954091 & Range & 7330 & Trim Var. & 812759.061864802 \tabularnewline
V(Y[t],d=2,D=2) & 3190095.85319635 & Range & 12624 & Trim Var. & 1306616.52836538 \tabularnewline
V(Y[t],d=3,D=2) & 9974597.10760563 & Range & 21239 & Trim Var. & 3649350.69102183 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33107&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]10772034.6537291[/C][C]Range[/C][C]11045[/C][C]Trim Var.[/C][C]8548277.54480082[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]264883.328714496[/C][C]Range[/C][C]3545[/C][C]Trim Var.[/C][C]118632.592680251[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]544571.754716495[/C][C]Range[/C][C]5733[/C][C]Trim Var.[/C][C]209137.263074044[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1568691.46903509[/C][C]Range[/C][C]9604[/C][C]Trim Var.[/C][C]534464.735239398[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]2629747.06354451[/C][C]Range[/C][C]7581[/C][C]Trim Var.[/C][C]1643586.94740943[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]502800.134615595[/C][C]Range[/C][C]4219[/C][C]Trim Var.[/C][C]260710.360814035[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1069051.44134454[/C][C]Range[/C][C]6986[/C][C]Trim Var.[/C][C]420881.186306306[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]3190474.19503729[/C][C]Range[/C][C]12624[/C][C]Trim Var.[/C][C]1143716.62924843[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]6231003.0768[/C][C]Range[/C][C]13445[/C][C]Trim Var.[/C][C]3385301.81335142[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1479944.03954091[/C][C]Range[/C][C]7330[/C][C]Trim Var.[/C][C]812759.061864802[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]3190095.85319635[/C][C]Range[/C][C]12624[/C][C]Trim Var.[/C][C]1306616.52836538[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]9974597.10760563[/C][C]Range[/C][C]21239[/C][C]Trim Var.[/C][C]3649350.69102183[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33107&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33107&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)10772034.6537291Range11045Trim Var.8548277.54480082
V(Y[t],d=1,D=0)264883.328714496Range3545Trim Var.118632.592680251
V(Y[t],d=2,D=0)544571.754716495Range5733Trim Var.209137.263074044
V(Y[t],d=3,D=0)1568691.46903509Range9604Trim Var.534464.735239398
V(Y[t],d=0,D=1)2629747.06354451Range7581Trim Var.1643586.94740943
V(Y[t],d=1,D=1)502800.134615595Range4219Trim Var.260710.360814035
V(Y[t],d=2,D=1)1069051.44134454Range6986Trim Var.420881.186306306
V(Y[t],d=3,D=1)3190474.19503729Range12624Trim Var.1143716.62924843
V(Y[t],d=0,D=2)6231003.0768Range13445Trim Var.3385301.81335142
V(Y[t],d=1,D=2)1479944.03954091Range7330Trim Var.812759.061864802
V(Y[t],d=2,D=2)3190095.85319635Range12624Trim Var.1306616.52836538
V(Y[t],d=3,D=2)9974597.10760563Range21239Trim Var.3649350.69102183


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')