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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 computationThu, 10 Dec 2009 10:15:20 -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/Dec/10/t1260465365dt48cdmnchump87.htm/, Retrieved Thu, 18 Apr 2024 18:51:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65616, Retrieved Thu, 18 Apr 2024 18:51:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Totaal levensmidd...] [2009-11-29 09:56:44] [757146c69eaf0537be37c7b0c18216d8]
- RMPD  [Variance Reduction Matrix] [paper - VRM - totaal] [2009-12-10 12:16:03] [757146c69eaf0537be37c7b0c18216d8]
-    D      [Variance Reduction Matrix] [paper variantie r...] [2009-12-10 17:15:20] [4563e36d4b7005634fe3557528d9fcab] [Current]
-   PD        [Variance Reduction Matrix] [VRM graan] [2009-12-21 16:00:40] [12f02da0296cb21dc23d82ae014a8b71]
- R PD        [Variance Reduction Matrix] [vrm paper] [2009-12-24 16:36:06] [757146c69eaf0537be37c7b0c18216d8]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
108,2
108,8
110,2
109,5
109,5
116
111,2
112,1
114
119,1
114,1
115,1
115,4
110,8
116
119,2
126,5
127,8
131,3
140,3
137,3
143
134,5
139,9
159,3
170,4
175
175,8
180,9
180,3
169,6
172,3
184,8
177,7
184,6
211,4
215,3
215,9
244,7
259,3
289
310,9
321
315,1
333,2
314,1
284,7
273,9
216
196,4
190,9
206,4
196,3
199,5
198,9
214,4
214,2
187,6
180,6
172,2
187,2

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=65616&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=65616&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65616&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)3955.33678142076Range225Trim Var.2615.11798984035
V(Y[t],d=1,D=0)197.532259887006Range87.6Trim Var.79.055038434661
V(Y[t],d=2,D=0)255.919403857393Range85.4Trim Var.147.825232220610
V(Y[t],d=3,D=0)724.925154264972Range151.1Trim Var.393.630539215686
V(Y[t],d=0,D=1)5480.74791666667Range277.9Trim Var.3647.25763012182
V(Y[t],d=1,D=1)468.981702127660Range134.7Trim Var.213.140029036005
V(Y[t],d=2,D=1)502.075457909343Range111.2Trim Var.265.869512195122
V(Y[t],d=3,D=1)1342.84060386473Range166.4Trim Var.771.733948717949
V(Y[t],d=0,D=2)14409.7748048048Range386.6Trim Var.11343.0979734848
V(Y[t],d=1,D=2)1466.65844444444Range199.1Trim Var.698.610927419355
V(Y[t],d=2,D=2)1281.96198319328Range148.6Trim Var.847.093032258065
V(Y[t],d=3,D=2)3322.74819964349Range228.8Trim Var.2242.73771264368

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 3955.33678142076 & Range & 225 & Trim Var. & 2615.11798984035 \tabularnewline
V(Y[t],d=1,D=0) & 197.532259887006 & Range & 87.6 & Trim Var. & 79.055038434661 \tabularnewline
V(Y[t],d=2,D=0) & 255.919403857393 & Range & 85.4 & Trim Var. & 147.825232220610 \tabularnewline
V(Y[t],d=3,D=0) & 724.925154264972 & Range & 151.1 & Trim Var. & 393.630539215686 \tabularnewline
V(Y[t],d=0,D=1) & 5480.74791666667 & Range & 277.9 & Trim Var. & 3647.25763012182 \tabularnewline
V(Y[t],d=1,D=1) & 468.981702127660 & Range & 134.7 & Trim Var. & 213.140029036005 \tabularnewline
V(Y[t],d=2,D=1) & 502.075457909343 & Range & 111.2 & Trim Var. & 265.869512195122 \tabularnewline
V(Y[t],d=3,D=1) & 1342.84060386473 & Range & 166.4 & Trim Var. & 771.733948717949 \tabularnewline
V(Y[t],d=0,D=2) & 14409.7748048048 & Range & 386.6 & Trim Var. & 11343.0979734848 \tabularnewline
V(Y[t],d=1,D=2) & 1466.65844444444 & Range & 199.1 & Trim Var. & 698.610927419355 \tabularnewline
V(Y[t],d=2,D=2) & 1281.96198319328 & Range & 148.6 & Trim Var. & 847.093032258065 \tabularnewline
V(Y[t],d=3,D=2) & 3322.74819964349 & Range & 228.8 & Trim Var. & 2242.73771264368 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65616&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]3955.33678142076[/C][C]Range[/C][C]225[/C][C]Trim Var.[/C][C]2615.11798984035[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]197.532259887006[/C][C]Range[/C][C]87.6[/C][C]Trim Var.[/C][C]79.055038434661[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]255.919403857393[/C][C]Range[/C][C]85.4[/C][C]Trim Var.[/C][C]147.825232220610[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]724.925154264972[/C][C]Range[/C][C]151.1[/C][C]Trim Var.[/C][C]393.630539215686[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]5480.74791666667[/C][C]Range[/C][C]277.9[/C][C]Trim Var.[/C][C]3647.25763012182[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]468.981702127660[/C][C]Range[/C][C]134.7[/C][C]Trim Var.[/C][C]213.140029036005[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]502.075457909343[/C][C]Range[/C][C]111.2[/C][C]Trim Var.[/C][C]265.869512195122[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1342.84060386473[/C][C]Range[/C][C]166.4[/C][C]Trim Var.[/C][C]771.733948717949[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]14409.7748048048[/C][C]Range[/C][C]386.6[/C][C]Trim Var.[/C][C]11343.0979734848[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1466.65844444444[/C][C]Range[/C][C]199.1[/C][C]Trim Var.[/C][C]698.610927419355[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1281.96198319328[/C][C]Range[/C][C]148.6[/C][C]Trim Var.[/C][C]847.093032258065[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3322.74819964349[/C][C]Range[/C][C]228.8[/C][C]Trim Var.[/C][C]2242.73771264368[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65616&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65616&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)3955.33678142076Range225Trim Var.2615.11798984035
V(Y[t],d=1,D=0)197.532259887006Range87.6Trim Var.79.055038434661
V(Y[t],d=2,D=0)255.919403857393Range85.4Trim Var.147.825232220610
V(Y[t],d=3,D=0)724.925154264972Range151.1Trim Var.393.630539215686
V(Y[t],d=0,D=1)5480.74791666667Range277.9Trim Var.3647.25763012182
V(Y[t],d=1,D=1)468.981702127660Range134.7Trim Var.213.140029036005
V(Y[t],d=2,D=1)502.075457909343Range111.2Trim Var.265.869512195122
V(Y[t],d=3,D=1)1342.84060386473Range166.4Trim Var.771.733948717949
V(Y[t],d=0,D=2)14409.7748048048Range386.6Trim Var.11343.0979734848
V(Y[t],d=1,D=2)1466.65844444444Range199.1Trim Var.698.610927419355
V(Y[t],d=2,D=2)1281.96198319328Range148.6Trim Var.847.093032258065
V(Y[t],d=3,D=2)3322.74819964349Range228.8Trim Var.2242.73771264368


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')