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Author*The author of this computation has been verified*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSun, 26 Dec 2010 17:26:44 +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/26/t1293384288v72yvegle65zcsx.htm/, Retrieved Tue, 07 May 2024 02:34:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115739, Retrieved Tue, 07 May 2024 02:34:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [vrm bel20] [2008-12-10 18:40:53] [74be16979710d4c4e7c6647856088456]
-  M D  [Variance Reduction Matrix] [bel 20 - VRM] [2009-12-20 20:47:32] [a18c43c8b63fa6800a53bb187b9ddd45]
-    D      [Variance Reduction Matrix] [Werkloosheid vrou...] [2010-12-26 17:26:44] [75888b09f354cf7130ae5528df429303] [Current]
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Dataseries X:
313.737
312.276
309.391
302.950
300.316
304.035
333.476
337.698
335.932
323.931
313.927
314.485
313.218
309.664
302.963
298.989
298.423
301.631
329.765
335.083
327.616
309.119
295.916
291.413
291.542
284.678
276.475
272.566
264.981
263.290
296.806
303.598
286.994
276.427
266.424
267.153
268.381
262.522
255.542
253.158
243.803
250.741
280.445
285.257
270.976
261.076
255.603
260.376
263.903
264.291
263.276
262.572
256.167
264.221
293.860
300.713
287.224
275.902
271.115
277.509
279.681
276.239
271.037
266.148
259.497
266.795
298.305
303.725
289.742
276.444
268.606




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115739&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115739&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115739&T=0

As an alternative you can also use a 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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Variance Reduction Matrix
V(Y[t],d=0,D=0)567.872748262777Range93.895Trim Var.401.924501243216
V(Y[t],d=1,D=0)131.124657765838Range52.0129999999999Trim Var.65.5853696671074
V(Y[t],d=2,D=0)173.241354158994Range61.9309999999999Trim Var.100.314247872131
V(Y[t],d=3,D=0)352.684359824407Range91.3639999999999Trim Var.158.686120470056
V(Y[t],d=0,D=1)259.175667110462Range57.755Trim Var.204.012102125544
V(Y[t],d=1,D=1)13.4224663230489Range17.7659999999999Trim Var.8.11258359276018
V(Y[t],d=2,D=1)22.0674736585211Range29.5079999999999Trim Var.8.23358713960778
V(Y[t],d=3,D=1)66.0763164311682Range50.5179999999998Trim Var.26.0916999628569
V(Y[t],d=0,D=2)457.198848297872Range69.7339999999999Trim Var.357.815840156097
V(Y[t],d=1,D=2)34.0888175690818Range24.5779999999999Trim Var.18.4986994711538
V(Y[t],d=2,D=2)59.2288348636355Range40.5839999999996Trim Var.24.2146559271251
V(Y[t],d=3,D=2)177.920879596192Range62.0989999999996Trim Var.75.1394321479361

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 567.872748262777 & Range & 93.895 & Trim Var. & 401.924501243216 \tabularnewline
V(Y[t],d=1,D=0) & 131.124657765838 & Range & 52.0129999999999 & Trim Var. & 65.5853696671074 \tabularnewline
V(Y[t],d=2,D=0) & 173.241354158994 & Range & 61.9309999999999 & Trim Var. & 100.314247872131 \tabularnewline
V(Y[t],d=3,D=0) & 352.684359824407 & Range & 91.3639999999999 & Trim Var. & 158.686120470056 \tabularnewline
V(Y[t],d=0,D=1) & 259.175667110462 & Range & 57.755 & Trim Var. & 204.012102125544 \tabularnewline
V(Y[t],d=1,D=1) & 13.4224663230489 & Range & 17.7659999999999 & Trim Var. & 8.11258359276018 \tabularnewline
V(Y[t],d=2,D=1) & 22.0674736585211 & Range & 29.5079999999999 & Trim Var. & 8.23358713960778 \tabularnewline
V(Y[t],d=3,D=1) & 66.0763164311682 & Range & 50.5179999999998 & Trim Var. & 26.0916999628569 \tabularnewline
V(Y[t],d=0,D=2) & 457.198848297872 & Range & 69.7339999999999 & Trim Var. & 357.815840156097 \tabularnewline
V(Y[t],d=1,D=2) & 34.0888175690818 & Range & 24.5779999999999 & Trim Var. & 18.4986994711538 \tabularnewline
V(Y[t],d=2,D=2) & 59.2288348636355 & Range & 40.5839999999996 & Trim Var. & 24.2146559271251 \tabularnewline
V(Y[t],d=3,D=2) & 177.920879596192 & Range & 62.0989999999996 & Trim Var. & 75.1394321479361 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115739&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]567.872748262777[/C][C]Range[/C][C]93.895[/C][C]Trim Var.[/C][C]401.924501243216[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]131.124657765838[/C][C]Range[/C][C]52.0129999999999[/C][C]Trim Var.[/C][C]65.5853696671074[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]173.241354158994[/C][C]Range[/C][C]61.9309999999999[/C][C]Trim Var.[/C][C]100.314247872131[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]352.684359824407[/C][C]Range[/C][C]91.3639999999999[/C][C]Trim Var.[/C][C]158.686120470056[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]259.175667110462[/C][C]Range[/C][C]57.755[/C][C]Trim Var.[/C][C]204.012102125544[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]13.4224663230489[/C][C]Range[/C][C]17.7659999999999[/C][C]Trim Var.[/C][C]8.11258359276018[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]22.0674736585211[/C][C]Range[/C][C]29.5079999999999[/C][C]Trim Var.[/C][C]8.23358713960778[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]66.0763164311682[/C][C]Range[/C][C]50.5179999999998[/C][C]Trim Var.[/C][C]26.0916999628569[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]457.198848297872[/C][C]Range[/C][C]69.7339999999999[/C][C]Trim Var.[/C][C]357.815840156097[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]34.0888175690818[/C][C]Range[/C][C]24.5779999999999[/C][C]Trim Var.[/C][C]18.4986994711538[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]59.2288348636355[/C][C]Range[/C][C]40.5839999999996[/C][C]Trim Var.[/C][C]24.2146559271251[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]177.920879596192[/C][C]Range[/C][C]62.0989999999996[/C][C]Trim Var.[/C][C]75.1394321479361[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115739&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115739&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)567.872748262777Range93.895Trim Var.401.924501243216
V(Y[t],d=1,D=0)131.124657765838Range52.0129999999999Trim Var.65.5853696671074
V(Y[t],d=2,D=0)173.241354158994Range61.9309999999999Trim Var.100.314247872131
V(Y[t],d=3,D=0)352.684359824407Range91.3639999999999Trim Var.158.686120470056
V(Y[t],d=0,D=1)259.175667110462Range57.755Trim Var.204.012102125544
V(Y[t],d=1,D=1)13.4224663230489Range17.7659999999999Trim Var.8.11258359276018
V(Y[t],d=2,D=1)22.0674736585211Range29.5079999999999Trim Var.8.23358713960778
V(Y[t],d=3,D=1)66.0763164311682Range50.5179999999998Trim Var.26.0916999628569
V(Y[t],d=0,D=2)457.198848297872Range69.7339999999999Trim Var.357.815840156097
V(Y[t],d=1,D=2)34.0888175690818Range24.5779999999999Trim Var.18.4986994711538
V(Y[t],d=2,D=2)59.2288348636355Range40.5839999999996Trim Var.24.2146559271251
V(Y[t],d=3,D=2)177.920879596192Range62.0989999999996Trim Var.75.1394321479361



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')