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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, 24 Dec 2010 12:25:49 +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/24/t12931934341cs4rsyf4yd1bmt.htm/, Retrieved Tue, 30 Apr 2024 02:19:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114841, Retrieved Tue, 30 Apr 2024 02:19:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Variance Reduction Matrix] [Births] [2010-11-29 09:39:41] [b98453cac15ba1066b407e146608df68]
-   PD          [Variance Reduction Matrix] [WS 9.5] [2010-12-07 18:57:43] [b1e5ec7263cdefe98ec76e1a1363de05]
-    D              [Variance Reduction Matrix] [VRM] [2010-12-24 12:25:49] [cda497ce08bc921f0aec22acd67c882b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12008
9169
8788
8417
8247
8197
8236
8253
7733
8366
8626
8863
10102
8463
9114
8563
8872
8301
8301
8278
7736
7973
8268
9476
11100
8962
9173
8738
8459
8078
8411
8291
7810
8616
8312
9692
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383

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=114841&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=114841&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114841&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)707956.858959311Range4498Trim Var.354493.551587302
V(Y[t],d=1,D=0)667348.084909457Range4657Trim Var.285506.522785458
V(Y[t],d=2,D=0)1474560.88115942Range6220Trim Var.746616.945531465
V(Y[t],d=3,D=0)4642429.87851662Range10667Trim Var.2436309.66994536
V(Y[t],d=0,D=1)290825.975988701Range3419Trim Var.135701.474493361
V(Y[t],d=1,D=1)284597.786674459Range2605Trim Var.153534.190856314
V(Y[t],d=2,D=1)587846.971869329Range4610Trim Var.287232.025641026
V(Y[t],d=3,D=1)1757358.07581454Range7487Trim Var.866299.118431373
V(Y[t],d=0,D=2)826950.546099291Range5091Trim Var.351882.799651568
V(Y[t],d=1,D=2)747161.722479186Range3833Trim Var.426909.124390244
V(Y[t],d=2,D=2)1427051.67149758Range6448Trim Var.749321.968589744
V(Y[t],d=3,D=2)4081945.11919192Range8728Trim Var.2311862.67611336

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 707956.858959311 & Range & 4498 & Trim Var. & 354493.551587302 \tabularnewline
V(Y[t],d=1,D=0) & 667348.084909457 & Range & 4657 & Trim Var. & 285506.522785458 \tabularnewline
V(Y[t],d=2,D=0) & 1474560.88115942 & Range & 6220 & Trim Var. & 746616.945531465 \tabularnewline
V(Y[t],d=3,D=0) & 4642429.87851662 & Range & 10667 & Trim Var. & 2436309.66994536 \tabularnewline
V(Y[t],d=0,D=1) & 290825.975988701 & Range & 3419 & Trim Var. & 135701.474493361 \tabularnewline
V(Y[t],d=1,D=1) & 284597.786674459 & Range & 2605 & Trim Var. & 153534.190856314 \tabularnewline
V(Y[t],d=2,D=1) & 587846.971869329 & Range & 4610 & Trim Var. & 287232.025641026 \tabularnewline
V(Y[t],d=3,D=1) & 1757358.07581454 & Range & 7487 & Trim Var. & 866299.118431373 \tabularnewline
V(Y[t],d=0,D=2) & 826950.546099291 & Range & 5091 & Trim Var. & 351882.799651568 \tabularnewline
V(Y[t],d=1,D=2) & 747161.722479186 & Range & 3833 & Trim Var. & 426909.124390244 \tabularnewline
V(Y[t],d=2,D=2) & 1427051.67149758 & Range & 6448 & Trim Var. & 749321.968589744 \tabularnewline
V(Y[t],d=3,D=2) & 4081945.11919192 & Range & 8728 & Trim Var. & 2311862.67611336 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114841&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]707956.858959311[/C][C]Range[/C][C]4498[/C][C]Trim Var.[/C][C]354493.551587302[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]667348.084909457[/C][C]Range[/C][C]4657[/C][C]Trim Var.[/C][C]285506.522785458[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1474560.88115942[/C][C]Range[/C][C]6220[/C][C]Trim Var.[/C][C]746616.945531465[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4642429.87851662[/C][C]Range[/C][C]10667[/C][C]Trim Var.[/C][C]2436309.66994536[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]290825.975988701[/C][C]Range[/C][C]3419[/C][C]Trim Var.[/C][C]135701.474493361[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]284597.786674459[/C][C]Range[/C][C]2605[/C][C]Trim Var.[/C][C]153534.190856314[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]587846.971869329[/C][C]Range[/C][C]4610[/C][C]Trim Var.[/C][C]287232.025641026[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1757358.07581454[/C][C]Range[/C][C]7487[/C][C]Trim Var.[/C][C]866299.118431373[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]826950.546099291[/C][C]Range[/C][C]5091[/C][C]Trim Var.[/C][C]351882.799651568[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]747161.722479186[/C][C]Range[/C][C]3833[/C][C]Trim Var.[/C][C]426909.124390244[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1427051.67149758[/C][C]Range[/C][C]6448[/C][C]Trim Var.[/C][C]749321.968589744[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]4081945.11919192[/C][C]Range[/C][C]8728[/C][C]Trim Var.[/C][C]2311862.67611336[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114841&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114841&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)707956.858959311Range4498Trim Var.354493.551587302
V(Y[t],d=1,D=0)667348.084909457Range4657Trim Var.285506.522785458
V(Y[t],d=2,D=0)1474560.88115942Range6220Trim Var.746616.945531465
V(Y[t],d=3,D=0)4642429.87851662Range10667Trim Var.2436309.66994536
V(Y[t],d=0,D=1)290825.975988701Range3419Trim Var.135701.474493361
V(Y[t],d=1,D=1)284597.786674459Range2605Trim Var.153534.190856314
V(Y[t],d=2,D=1)587846.971869329Range4610Trim Var.287232.025641026
V(Y[t],d=3,D=1)1757358.07581454Range7487Trim Var.866299.118431373
V(Y[t],d=0,D=2)826950.546099291Range5091Trim Var.351882.799651568
V(Y[t],d=1,D=2)747161.722479186Range3833Trim Var.426909.124390244
V(Y[t],d=2,D=2)1427051.67149758Range6448Trim Var.749321.968589744
V(Y[t],d=3,D=2)4081945.11919192Range8728Trim Var.2311862.67611336


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')