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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 computationSat, 28 Nov 2009 04:16:12 -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/2009/Nov/28/t1259407035fucdexkzc4r3slc.htm/, Retrieved Fri, 03 May 2024 06:47:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61431, Retrieved Fri, 03 May 2024 06:47:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

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       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D        [Variance Reduction Matrix] [] [2009-11-23 15:40:52] [5d885a68c2332cc44f6191ec94766bfa]
-    D            [Variance Reduction Matrix] [] [2009-11-28 11:16:12] [2b679e8ec54382eeb0ec0b6bb527570a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3703
3478
3481
4040
4462
4738
3954
4221
4687
4824
3900
3826
3576
3070
3503
3592
4249
4824
4309
4006
4657
4945
4338
4112
3743
3520
4091
4393
4426
4575
3928
4139
4452
4508
4034
4005
3702
3871
3694
4038
4776
4562
4003
3816
4381
4488
3914
3582

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=61431&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=61431&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61431&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)191609.404255319Range1875Trim Var.132007.914053426
V(Y[t],d=1,D=0)181569.249768733Range1662Trim Var.126612.498780488
V(Y[t],d=2,D=0)340741.069082126Range2141Trim Var.230746.102564103
V(Y[t],d=3,D=0)873433.446464646Range3457Trim Var.587350.52631579
V(Y[t],d=0,D=1)101202.027777778Range1249Trim Var.68998.4183467742
V(Y[t],d=1,D=1)121253.196638655Range1453Trim Var.80478.3784946237
V(Y[t],d=2,D=1)310342.841354724Range1930Trim Var.227354.585057471
V(Y[t],d=3,D=1)945524.21780303Range3661Trim Var.655258.07635468
V(Y[t],d=0,D=2)340581.557971014Range2405Trim Var.169864.105263158
V(Y[t],d=1,D=2)376003.806324111Range2241Trim Var.202846.929824561
V(Y[t],d=2,D=2)887814.813852814Range3109Trim Var.540155.114379085
V(Y[t],d=3,D=2)2656180.04761905Range5726Trim Var.1587956.63235294

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 191609.404255319 & Range & 1875 & Trim Var. & 132007.914053426 \tabularnewline
V(Y[t],d=1,D=0) & 181569.249768733 & Range & 1662 & Trim Var. & 126612.498780488 \tabularnewline
V(Y[t],d=2,D=0) & 340741.069082126 & Range & 2141 & Trim Var. & 230746.102564103 \tabularnewline
V(Y[t],d=3,D=0) & 873433.446464646 & Range & 3457 & Trim Var. & 587350.52631579 \tabularnewline
V(Y[t],d=0,D=1) & 101202.027777778 & Range & 1249 & Trim Var. & 68998.4183467742 \tabularnewline
V(Y[t],d=1,D=1) & 121253.196638655 & Range & 1453 & Trim Var. & 80478.3784946237 \tabularnewline
V(Y[t],d=2,D=1) & 310342.841354724 & Range & 1930 & Trim Var. & 227354.585057471 \tabularnewline
V(Y[t],d=3,D=1) & 945524.21780303 & Range & 3661 & Trim Var. & 655258.07635468 \tabularnewline
V(Y[t],d=0,D=2) & 340581.557971014 & Range & 2405 & Trim Var. & 169864.105263158 \tabularnewline
V(Y[t],d=1,D=2) & 376003.806324111 & Range & 2241 & Trim Var. & 202846.929824561 \tabularnewline
V(Y[t],d=2,D=2) & 887814.813852814 & Range & 3109 & Trim Var. & 540155.114379085 \tabularnewline
V(Y[t],d=3,D=2) & 2656180.04761905 & Range & 5726 & Trim Var. & 1587956.63235294 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61431&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]191609.404255319[/C][C]Range[/C][C]1875[/C][C]Trim Var.[/C][C]132007.914053426[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]181569.249768733[/C][C]Range[/C][C]1662[/C][C]Trim Var.[/C][C]126612.498780488[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]340741.069082126[/C][C]Range[/C][C]2141[/C][C]Trim Var.[/C][C]230746.102564103[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]873433.446464646[/C][C]Range[/C][C]3457[/C][C]Trim Var.[/C][C]587350.52631579[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]101202.027777778[/C][C]Range[/C][C]1249[/C][C]Trim Var.[/C][C]68998.4183467742[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]121253.196638655[/C][C]Range[/C][C]1453[/C][C]Trim Var.[/C][C]80478.3784946237[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]310342.841354724[/C][C]Range[/C][C]1930[/C][C]Trim Var.[/C][C]227354.585057471[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]945524.21780303[/C][C]Range[/C][C]3661[/C][C]Trim Var.[/C][C]655258.07635468[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]340581.557971014[/C][C]Range[/C][C]2405[/C][C]Trim Var.[/C][C]169864.105263158[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]376003.806324111[/C][C]Range[/C][C]2241[/C][C]Trim Var.[/C][C]202846.929824561[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]887814.813852814[/C][C]Range[/C][C]3109[/C][C]Trim Var.[/C][C]540155.114379085[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2656180.04761905[/C][C]Range[/C][C]5726[/C][C]Trim Var.[/C][C]1587956.63235294[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61431&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61431&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)191609.404255319Range1875Trim Var.132007.914053426
V(Y[t],d=1,D=0)181569.249768733Range1662Trim Var.126612.498780488
V(Y[t],d=2,D=0)340741.069082126Range2141Trim Var.230746.102564103
V(Y[t],d=3,D=0)873433.446464646Range3457Trim Var.587350.52631579
V(Y[t],d=0,D=1)101202.027777778Range1249Trim Var.68998.4183467742
V(Y[t],d=1,D=1)121253.196638655Range1453Trim Var.80478.3784946237
V(Y[t],d=2,D=1)310342.841354724Range1930Trim Var.227354.585057471
V(Y[t],d=3,D=1)945524.21780303Range3661Trim Var.655258.07635468
V(Y[t],d=0,D=2)340581.557971014Range2405Trim Var.169864.105263158
V(Y[t],d=1,D=2)376003.806324111Range2241Trim Var.202846.929824561
V(Y[t],d=2,D=2)887814.813852814Range3109Trim Var.540155.114379085
V(Y[t],d=3,D=2)2656180.04761905Range5726Trim Var.1587956.63235294


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')