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 computationWed, 22 Dec 2010 16:16:59 +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/22/t12930345384jzalw2hmmtgrgx.htm/, Retrieved Sun, 05 May 2024 23:47:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114359, Retrieved Sun, 05 May 2024 23:47:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101

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] [] [2010-12-22 16:16:59] [7b390cc0228d34e5578246b07143e3df] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3010
2910
3840
3580
3140
3550
3250
2820
2260
2060
2120
2210
2190
2180
2350
2440
2370
2440
2610
3040
3190
3120
3170
3600
3420
3650
4180
2960
2710
2950
3030
3770
4740
4450
5550
5580
5890
7480
10450
6360
6710
6200
4490
3480
2520
1920
2010
1950
2240
2370
2840
2700
2980
3290
3300
3000
2330
2190
1970
2170
2830
3190
3550
3240
3450
3570
3230
3260
2700

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 7 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114359&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114359&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114359&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 time7 seconds
R Server'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)2180251.40664962Range8530Trim Var.859681.256830601
V(Y[t],d=1,D=0)648049.05618964Range7060Trim Var.131191.497175141
V(Y[t],d=2,D=0)1428494.57259159Range11500Trim Var.225351.256575102
V(Y[t],d=3,D=0)4457720.55944056Range19940Trim Var.511231.367211131
V(Y[t],d=0,D=1)5515562.21804511Range13880Trim Var.2815765.25490196
V(Y[t],d=1,D=1)1164142.04545455Range6820Trim Var.435181.877551020
V(Y[t],d=2,D=1)2386981.34680135Range11760Trim Var.530797.534013605
V(Y[t],d=3,D=1)7535889.6226415Range19250Trim Var.1455338.2535461
V(Y[t],d=0,D=2)19479074.0404040Range22200Trim Var.10341121.0526316
V(Y[t],d=1,D=2)4037824.26004228Range11760Trim Var.1602995.16358464
V(Y[t],d=2,D=2)8194470.65337763Range19250Trim Var.1945889.18918919
V(Y[t],d=3,D=2)26198375.2032520Range33130Trim Var.6418140

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2180251.40664962 & Range & 8530 & Trim Var. & 859681.256830601 \tabularnewline
V(Y[t],d=1,D=0) & 648049.05618964 & Range & 7060 & Trim Var. & 131191.497175141 \tabularnewline
V(Y[t],d=2,D=0) & 1428494.57259159 & Range & 11500 & Trim Var. & 225351.256575102 \tabularnewline
V(Y[t],d=3,D=0) & 4457720.55944056 & Range & 19940 & Trim Var. & 511231.367211131 \tabularnewline
V(Y[t],d=0,D=1) & 5515562.21804511 & Range & 13880 & Trim Var. & 2815765.25490196 \tabularnewline
V(Y[t],d=1,D=1) & 1164142.04545455 & Range & 6820 & Trim Var. & 435181.877551020 \tabularnewline
V(Y[t],d=2,D=1) & 2386981.34680135 & Range & 11760 & Trim Var. & 530797.534013605 \tabularnewline
V(Y[t],d=3,D=1) & 7535889.6226415 & Range & 19250 & Trim Var. & 1455338.2535461 \tabularnewline
V(Y[t],d=0,D=2) & 19479074.0404040 & Range & 22200 & Trim Var. & 10341121.0526316 \tabularnewline
V(Y[t],d=1,D=2) & 4037824.26004228 & Range & 11760 & Trim Var. & 1602995.16358464 \tabularnewline
V(Y[t],d=2,D=2) & 8194470.65337763 & Range & 19250 & Trim Var. & 1945889.18918919 \tabularnewline
V(Y[t],d=3,D=2) & 26198375.2032520 & Range & 33130 & Trim Var. & 6418140 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114359&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2180251.40664962[/C][C]Range[/C][C]8530[/C][C]Trim Var.[/C][C]859681.256830601[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]648049.05618964[/C][C]Range[/C][C]7060[/C][C]Trim Var.[/C][C]131191.497175141[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1428494.57259159[/C][C]Range[/C][C]11500[/C][C]Trim Var.[/C][C]225351.256575102[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4457720.55944056[/C][C]Range[/C][C]19940[/C][C]Trim Var.[/C][C]511231.367211131[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]5515562.21804511[/C][C]Range[/C][C]13880[/C][C]Trim Var.[/C][C]2815765.25490196[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1164142.04545455[/C][C]Range[/C][C]6820[/C][C]Trim Var.[/C][C]435181.877551020[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]2386981.34680135[/C][C]Range[/C][C]11760[/C][C]Trim Var.[/C][C]530797.534013605[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]7535889.6226415[/C][C]Range[/C][C]19250[/C][C]Trim Var.[/C][C]1455338.2535461[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]19479074.0404040[/C][C]Range[/C][C]22200[/C][C]Trim Var.[/C][C]10341121.0526316[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]4037824.26004228[/C][C]Range[/C][C]11760[/C][C]Trim Var.[/C][C]1602995.16358464[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]8194470.65337763[/C][C]Range[/C][C]19250[/C][C]Trim Var.[/C][C]1945889.18918919[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]26198375.2032520[/C][C]Range[/C][C]33130[/C][C]Trim Var.[/C][C]6418140[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114359&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114359&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)2180251.40664962Range8530Trim Var.859681.256830601
V(Y[t],d=1,D=0)648049.05618964Range7060Trim Var.131191.497175141
V(Y[t],d=2,D=0)1428494.57259159Range11500Trim Var.225351.256575102
V(Y[t],d=3,D=0)4457720.55944056Range19940Trim Var.511231.367211131
V(Y[t],d=0,D=1)5515562.21804511Range13880Trim Var.2815765.25490196
V(Y[t],d=1,D=1)1164142.04545455Range6820Trim Var.435181.877551020
V(Y[t],d=2,D=1)2386981.34680135Range11760Trim Var.530797.534013605
V(Y[t],d=3,D=1)7535889.6226415Range19250Trim Var.1455338.2535461
V(Y[t],d=0,D=2)19479074.0404040Range22200Trim Var.10341121.0526316
V(Y[t],d=1,D=2)4037824.26004228Range11760Trim Var.1602995.16358464
V(Y[t],d=2,D=2)8194470.65337763Range19250Trim Var.1945889.18918919
V(Y[t],d=3,D=2)26198375.2032520Range33130Trim Var.6418140


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')