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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 computationMon, 01 Dec 2008 10:31:38 -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/2008/Dec/01/t12281527635eh32cv67e071gt.htm/, Retrieved Sun, 05 May 2024 12:42:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=27044, Retrieved Sun, 05 May 2024 12:42:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact248

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [(Partial) Autocorrelation Function] [Q6] [2008-11-28 07:36:39] [c5a66f1c8528a963efc2b82a8519f117]
F RMP       [Variance Reduction Matrix] [Q6] [2008-12-01 17:31:38] [366411ff82333cf2a466cacd3525c11d] [Current]
Feedback Forum
2008-12-06 16:45:10 [Stefan Eyckmans] [reply] 
deze berekening is verkeerd. De seasonal period staat op 1, terwijl dit 12 moet zijn. http://www.freestatistics.org/blog/index.php?v=date/2008/Dec/06/t1228581811ow3crp074zd0qjz.htm via deze link bekom je het correcte resultaat
2008-12-08 13:14:36 [Bas van Keken] [reply] 
Voorbeeld bij invoer seizoensperiode 12:
http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/30/t122807119127yfcxh55d7pzgi.htm/

Uitkomst (laagste waarde):

Differentiatie V(Y[t],d=1,D=1)
Waarde 152.689254257193
Range 90

Hier kun je zien dat in de formule bij d=1 en D=1 deze waarden wordt verkregen.
2008-12-08 16:47:18 [Jeroen Michel] [reply] 
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Dec/08/t1228754727dl8ukwlkokpzre7.htm, Retrieved Mon, 08 Dec 2008 16:45:30 +0000

Uit bovenstaande berekening is af te lezen dat we 1 maal niet-seizoenaal moeten differentiëren en er éénmaal seizoenaal gedifferentieerd moet worden om de kleinste variantie te bepalen. Via deze weg maken we de reeks stationair.
2008-12-08 22:49:50 [Kristof Augustyns] [reply] 
Berekening is hier niet goed en dus ook geen juiste conclusie.
Omdat je de berekening maar met 1 maand hebt uitgeprobeerd, had je het idee dat er geen seizonaliteit aanwezig is.
Als je dit met 12 maanden had gedaan, dan had je wel gezien dat er seizonaliteit aanwezig is.
http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/28/t1227874695yydvzzpegdzhuu4.htm
--> Dit is juist.
http://www.freestatistics.org/blog/index.php?v=date/2008/Dec/07/t12286593893b2wwinsl40x1rn.htm/
--> Hier is seizonaliteit volledig verdwenen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=27044&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=27044&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=27044&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Variance Reduction Matrix
V(Y[t],d=0,D=0)14391.9172008547Range518Trim Var.9847.79429133858
V(Y[t],d=1,D=0)1139.35152171772Range188Trim Var.612.29533808274
V(Y[t],d=2,D=0)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=3,D=0)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=0,D=1)1139.35152171772Range188Trim Var.612.29533808274
V(Y[t],d=1,D=1)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=2,D=1)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=3,D=1)10948.9103802672Range543Trim Var.6705.59085714286
V(Y[t],d=0,D=2)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=1,D=2)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=2,D=2)10948.9103802672Range543Trim Var.6705.59085714286
V(Y[t],d=3,D=2)35462.4106975289Range1018Trim Var.21524.7421935484

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 14391.9172008547 & Range & 518 & Trim Var. & 9847.79429133858 \tabularnewline
V(Y[t],d=1,D=0) & 1139.35152171772 & Range & 188 & Trim Var. & 612.29533808274 \tabularnewline
V(Y[t],d=2,D=0) & 1588.47427829388 & Range & 228 & Trim Var. & 876.603936507937 \tabularnewline
V(Y[t],d=3,D=0) & 3719.00577507599 & Range & 327 & Trim Var. & 2090.46334906897 \tabularnewline
V(Y[t],d=0,D=1) & 1139.35152171772 & Range & 188 & Trim Var. & 612.29533808274 \tabularnewline
V(Y[t],d=1,D=1) & 1588.47427829388 & Range & 228 & Trim Var. & 876.603936507937 \tabularnewline
V(Y[t],d=2,D=1) & 3719.00577507599 & Range & 327 & Trim Var. & 2090.46334906897 \tabularnewline
V(Y[t],d=3,D=1) & 10948.9103802672 & Range & 543 & Trim Var. & 6705.59085714286 \tabularnewline
V(Y[t],d=0,D=2) & 1588.47427829388 & Range & 228 & Trim Var. & 876.603936507937 \tabularnewline
V(Y[t],d=1,D=2) & 3719.00577507599 & Range & 327 & Trim Var. & 2090.46334906897 \tabularnewline
V(Y[t],d=2,D=2) & 10948.9103802672 & Range & 543 & Trim Var. & 6705.59085714286 \tabularnewline
V(Y[t],d=3,D=2) & 35462.4106975289 & Range & 1018 & Trim Var. & 21524.7421935484 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=27044&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]14391.9172008547[/C][C]Range[/C][C]518[/C][C]Trim Var.[/C][C]9847.79429133858[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1139.35152171772[/C][C]Range[/C][C]188[/C][C]Trim Var.[/C][C]612.29533808274[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1588.47427829388[/C][C]Range[/C][C]228[/C][C]Trim Var.[/C][C]876.603936507937[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]3719.00577507599[/C][C]Range[/C][C]327[/C][C]Trim Var.[/C][C]2090.46334906897[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1139.35152171772[/C][C]Range[/C][C]188[/C][C]Trim Var.[/C][C]612.29533808274[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1588.47427829388[/C][C]Range[/C][C]228[/C][C]Trim Var.[/C][C]876.603936507937[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]3719.00577507599[/C][C]Range[/C][C]327[/C][C]Trim Var.[/C][C]2090.46334906897[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]10948.9103802672[/C][C]Range[/C][C]543[/C][C]Trim Var.[/C][C]6705.59085714286[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]1588.47427829388[/C][C]Range[/C][C]228[/C][C]Trim Var.[/C][C]876.603936507937[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]3719.00577507599[/C][C]Range[/C][C]327[/C][C]Trim Var.[/C][C]2090.46334906897[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]10948.9103802672[/C][C]Range[/C][C]543[/C][C]Trim Var.[/C][C]6705.59085714286[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]35462.4106975289[/C][C]Range[/C][C]1018[/C][C]Trim Var.[/C][C]21524.7421935484[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=27044&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=27044&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)14391.9172008547Range518Trim Var.9847.79429133858
V(Y[t],d=1,D=0)1139.35152171772Range188Trim Var.612.29533808274
V(Y[t],d=2,D=0)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=3,D=0)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=0,D=1)1139.35152171772Range188Trim Var.612.29533808274
V(Y[t],d=1,D=1)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=2,D=1)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=3,D=1)10948.9103802672Range543Trim Var.6705.59085714286
V(Y[t],d=0,D=2)1588.47427829388Range228Trim Var.876.603936507937
V(Y[t],d=1,D=2)3719.00577507599Range327Trim Var.2090.46334906897
V(Y[t],d=2,D=2)10948.9103802672Range543Trim Var.6705.59085714286
V(Y[t],d=3,D=2)35462.4106975289Range1018Trim Var.21524.7421935484


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
Parameters (R input):
par1 = 1 ;
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')