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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, 03 Dec 2010 09:48:58 +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/03/t1291369627fo2jww7u2djm47n.htm/, Retrieved Tue, 07 May 2024 05:45:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104578, Retrieved Tue, 07 May 2024 05:45:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145

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] [workshop 9 -tutor...] [2010-12-03 09:48:58] [42b216fecf560ef45cc692f6de9f34dc] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1579
2146
2462
3695
4831
5134
6250
5760
6249
2917
1741
2359
1511
2059
2635
2867
4403
5720
4502
5749
5627
2846
1762
2429
1169
2154
2249
2687
4359
5382
4459
6398
4596
3024
1887
2070
1351
2218
2461
3028
4784
4975
4607
6249
4809
3157
1910
2228
1594
2467
2222
3607
4685
4962
5770
5480
5000
3228
1993
2288
1580
2111
2192
3601
4665
4876
5813
5589
5331
3075
2002
2306
1507
1992
2487
3490
4647
5594
5611
5788
6204
3013
1931
2549
1504
2090
2702
2939
4500
6208
6415
5657
5964
3163
1997
2422

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=104578&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=104578&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104578&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)2552273.07357456Range5246Trim Var.2135421.26511628
V(Y[t],d=1,D=0)1309883.11153415Range5271Trim Var.778992.243137255
V(Y[t],d=2,D=0)2199594.70418668Range6683Trim Var.1386150.31095812
V(Y[t],d=3,D=0)6434368.96213184Range12580Trim Var.4002615.37643256
V(Y[t],d=0,D=1)160692.580034423Range2911Trim Var.52592.1045908923
V(Y[t],d=1,D=1)398873.037320012Range4071Trim Var.141472.647104851
V(Y[t],d=2,D=1)1299199.73803071Range7419Trim Var.469230.35915493
V(Y[t],d=3,D=1)4449918.39290123Range13838Trim Var.1549236.89456740
V(Y[t],d=0,D=2)256668.351917058Range2825Trim Var.124151.133928571
V(Y[t],d=1,D=2)648789.288531187Range4264Trim Var.333143.224782386
V(Y[t],d=2,D=2)2017946.04161491Range7611Trim Var.1020114.51612903
V(Y[t],d=3,D=2)6650745.43350384Range12592Trim Var.3722141.21420765

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2552273.07357456 & Range & 5246 & Trim Var. & 2135421.26511628 \tabularnewline
V(Y[t],d=1,D=0) & 1309883.11153415 & Range & 5271 & Trim Var. & 778992.243137255 \tabularnewline
V(Y[t],d=2,D=0) & 2199594.70418668 & Range & 6683 & Trim Var. & 1386150.31095812 \tabularnewline
V(Y[t],d=3,D=0) & 6434368.96213184 & Range & 12580 & Trim Var. & 4002615.37643256 \tabularnewline
V(Y[t],d=0,D=1) & 160692.580034423 & Range & 2911 & Trim Var. & 52592.1045908923 \tabularnewline
V(Y[t],d=1,D=1) & 398873.037320012 & Range & 4071 & Trim Var. & 141472.647104851 \tabularnewline
V(Y[t],d=2,D=1) & 1299199.73803071 & Range & 7419 & Trim Var. & 469230.35915493 \tabularnewline
V(Y[t],d=3,D=1) & 4449918.39290123 & Range & 13838 & Trim Var. & 1549236.89456740 \tabularnewline
V(Y[t],d=0,D=2) & 256668.351917058 & Range & 2825 & Trim Var. & 124151.133928571 \tabularnewline
V(Y[t],d=1,D=2) & 648789.288531187 & Range & 4264 & Trim Var. & 333143.224782386 \tabularnewline
V(Y[t],d=2,D=2) & 2017946.04161491 & Range & 7611 & Trim Var. & 1020114.51612903 \tabularnewline
V(Y[t],d=3,D=2) & 6650745.43350384 & Range & 12592 & Trim Var. & 3722141.21420765 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104578&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2552273.07357456[/C][C]Range[/C][C]5246[/C][C]Trim Var.[/C][C]2135421.26511628[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1309883.11153415[/C][C]Range[/C][C]5271[/C][C]Trim Var.[/C][C]778992.243137255[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]2199594.70418668[/C][C]Range[/C][C]6683[/C][C]Trim Var.[/C][C]1386150.31095812[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]6434368.96213184[/C][C]Range[/C][C]12580[/C][C]Trim Var.[/C][C]4002615.37643256[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]160692.580034423[/C][C]Range[/C][C]2911[/C][C]Trim Var.[/C][C]52592.1045908923[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]398873.037320012[/C][C]Range[/C][C]4071[/C][C]Trim Var.[/C][C]141472.647104851[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1299199.73803071[/C][C]Range[/C][C]7419[/C][C]Trim Var.[/C][C]469230.35915493[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]4449918.39290123[/C][C]Range[/C][C]13838[/C][C]Trim Var.[/C][C]1549236.89456740[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]256668.351917058[/C][C]Range[/C][C]2825[/C][C]Trim Var.[/C][C]124151.133928571[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]648789.288531187[/C][C]Range[/C][C]4264[/C][C]Trim Var.[/C][C]333143.224782386[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2017946.04161491[/C][C]Range[/C][C]7611[/C][C]Trim Var.[/C][C]1020114.51612903[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]6650745.43350384[/C][C]Range[/C][C]12592[/C][C]Trim Var.[/C][C]3722141.21420765[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104578&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104578&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)2552273.07357456Range5246Trim Var.2135421.26511628
V(Y[t],d=1,D=0)1309883.11153415Range5271Trim Var.778992.243137255
V(Y[t],d=2,D=0)2199594.70418668Range6683Trim Var.1386150.31095812
V(Y[t],d=3,D=0)6434368.96213184Range12580Trim Var.4002615.37643256
V(Y[t],d=0,D=1)160692.580034423Range2911Trim Var.52592.1045908923
V(Y[t],d=1,D=1)398873.037320012Range4071Trim Var.141472.647104851
V(Y[t],d=2,D=1)1299199.73803071Range7419Trim Var.469230.35915493
V(Y[t],d=3,D=1)4449918.39290123Range13838Trim Var.1549236.89456740
V(Y[t],d=0,D=2)256668.351917058Range2825Trim Var.124151.133928571
V(Y[t],d=1,D=2)648789.288531187Range4264Trim Var.333143.224782386
V(Y[t],d=2,D=2)2017946.04161491Range7611Trim Var.1020114.51612903
V(Y[t],d=3,D=2)6650745.43350384Range12592Trim Var.3722141.21420765


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')