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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 computationSun, 14 Dec 2008 10:00:55 -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/14/t12292741116mx0vdh8wnwpi3t.htm/, Retrieved Wed, 15 May 2024 16:38:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33482, Retrieved Wed, 15 May 2024 16:38:21 +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)
-     [Mean Plot] [Mean plot vervaar...] [2007-11-09 12:25:12] [74be16979710d4c4e7c6647856088456]
- R  D  [Mean Plot] [Mean plot Vlaams ...] [2008-12-13 21:24:44] [005293453b571dbccb80b45226e44173]
- RMPD    [Variance Reduction Matrix] [Variance Reductio...] [2008-12-14 16:50:50] [005293453b571dbccb80b45226e44173]
-    D        [Variance Reduction Matrix] [Variance Reductio...] [2008-12-14 17:00:55] [b0654df83a8a0e1de3ceb7bf60f0d58f] [Current]
- RM            [(Partial) Autocorrelation Function] [partial autocorr ...] [2008-12-14 17:18:01] [005293453b571dbccb80b45226e44173]
-   P             [(Partial) Autocorrelation Function] [part autocorrelat...] [2008-12-14 18:33:57] [005293453b571dbccb80b45226e44173]
-    D              [(Partial) Autocorrelation Function] [part autocorr Waa...] [2008-12-14 18:53:41] [005293453b571dbccb80b45226e44173]
-    D                [(Partial) Autocorrelation Function] [part autocorr Bru...] [2008-12-14 18:56:03] [005293453b571dbccb80b45226e44173]
-    D                  [(Partial) Autocorrelation Function] [part autocorr belgië] [2008-12-14 18:58:18] [005293453b571dbccb80b45226e44173]
-   P                     [(Partial) Autocorrelation Function] [pacf belgie D=1] [2008-12-16 14:10:10] [005293453b571dbccb80b45226e44173]
-   P                   [(Partial) Autocorrelation Function] [pacf Brussels hst...] [2008-12-16 14:07:56] [005293453b571dbccb80b45226e44173]
-   P                 [(Partial) Autocorrelation Function] [pacf Waals Gewest...] [2008-12-16 14:05:47] [005293453b571dbccb80b45226e44173]
-   P               [(Partial) Autocorrelation Function] [pacf vlaams gewes...] [2008-12-16 14:02:56] [005293453b571dbccb80b45226e44173]
-   P               [(Partial) Autocorrelation Function] [pacf vlaams d=1 D=1] [2008-12-16 14:38:27] [005293453b571dbccb80b45226e44173]
-   PD          [Variance Reduction Matrix] [variance reductio...] [2008-12-14 19:54:08] [005293453b571dbccb80b45226e44173]
-    D            [Variance Reduction Matrix] [variance reductio...] [2008-12-14 19:55:58] [005293453b571dbccb80b45226e44173]
-    D              [Variance Reduction Matrix] [variance reductio...] [2008-12-14 20:04:12] [005293453b571dbccb80b45226e44173]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
217859
208679
213188
216234
213587
209465
204045
200237
203666
241476
260307
243324
244460
233575
237217
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330

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=33482&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=33482&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33482&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)841057667.688136Range114844Trim Var.624694580.597135
V(Y[t],d=1,D=0)158918493.243717Range59595Trim Var.75897523.5370102
V(Y[t],d=2,D=0)250764643.287659Range70498Trim Var.148075777.653092
V(Y[t],d=3,D=0)596574040.095865Range121588Trim Var.331845017.668235
V(Y[t],d=0,D=1)439065953.25133Range74665Trim Var.320988369.954123
V(Y[t],d=1,D=1)36703788.8686401Range27020Trim Var.22229950.4
V(Y[t],d=2,D=1)92139051.5381643Range44005Trim Var.50661415.999359
V(Y[t],d=3,D=1)319195828.936364Range76554Trim Var.179657086.400810
V(Y[t],d=0,D=2)559040666.596825Range77718Trim Var.435708461.608871
V(Y[t],d=1,D=2)106828584.588235Range44001Trim Var.63289612.8494624
V(Y[t],d=2,D=2)296909138.819964Range80924Trim Var.170126209.075862
V(Y[t],d=3,D=2)1028717509.82008Range137469Trim Var.581418045.650246

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 841057667.688136 & Range & 114844 & Trim Var. & 624694580.597135 \tabularnewline
V(Y[t],d=1,D=0) & 158918493.243717 & Range & 59595 & Trim Var. & 75897523.5370102 \tabularnewline
V(Y[t],d=2,D=0) & 250764643.287659 & Range & 70498 & Trim Var. & 148075777.653092 \tabularnewline
V(Y[t],d=3,D=0) & 596574040.095865 & Range & 121588 & Trim Var. & 331845017.668235 \tabularnewline
V(Y[t],d=0,D=1) & 439065953.25133 & Range & 74665 & Trim Var. & 320988369.954123 \tabularnewline
V(Y[t],d=1,D=1) & 36703788.8686401 & Range & 27020 & Trim Var. & 22229950.4 \tabularnewline
V(Y[t],d=2,D=1) & 92139051.5381643 & Range & 44005 & Trim Var. & 50661415.999359 \tabularnewline
V(Y[t],d=3,D=1) & 319195828.936364 & Range & 76554 & Trim Var. & 179657086.400810 \tabularnewline
V(Y[t],d=0,D=2) & 559040666.596825 & Range & 77718 & Trim Var. & 435708461.608871 \tabularnewline
V(Y[t],d=1,D=2) & 106828584.588235 & Range & 44001 & Trim Var. & 63289612.8494624 \tabularnewline
V(Y[t],d=2,D=2) & 296909138.819964 & Range & 80924 & Trim Var. & 170126209.075862 \tabularnewline
V(Y[t],d=3,D=2) & 1028717509.82008 & Range & 137469 & Trim Var. & 581418045.650246 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33482&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]841057667.688136[/C][C]Range[/C][C]114844[/C][C]Trim Var.[/C][C]624694580.597135[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]158918493.243717[/C][C]Range[/C][C]59595[/C][C]Trim Var.[/C][C]75897523.5370102[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]250764643.287659[/C][C]Range[/C][C]70498[/C][C]Trim Var.[/C][C]148075777.653092[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]596574040.095865[/C][C]Range[/C][C]121588[/C][C]Trim Var.[/C][C]331845017.668235[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]439065953.25133[/C][C]Range[/C][C]74665[/C][C]Trim Var.[/C][C]320988369.954123[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]36703788.8686401[/C][C]Range[/C][C]27020[/C][C]Trim Var.[/C][C]22229950.4[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]92139051.5381643[/C][C]Range[/C][C]44005[/C][C]Trim Var.[/C][C]50661415.999359[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]319195828.936364[/C][C]Range[/C][C]76554[/C][C]Trim Var.[/C][C]179657086.400810[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]559040666.596825[/C][C]Range[/C][C]77718[/C][C]Trim Var.[/C][C]435708461.608871[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]106828584.588235[/C][C]Range[/C][C]44001[/C][C]Trim Var.[/C][C]63289612.8494624[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]296909138.819964[/C][C]Range[/C][C]80924[/C][C]Trim Var.[/C][C]170126209.075862[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1028717509.82008[/C][C]Range[/C][C]137469[/C][C]Trim Var.[/C][C]581418045.650246[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33482&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33482&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)841057667.688136Range114844Trim Var.624694580.597135
V(Y[t],d=1,D=0)158918493.243717Range59595Trim Var.75897523.5370102
V(Y[t],d=2,D=0)250764643.287659Range70498Trim Var.148075777.653092
V(Y[t],d=3,D=0)596574040.095865Range121588Trim Var.331845017.668235
V(Y[t],d=0,D=1)439065953.25133Range74665Trim Var.320988369.954123
V(Y[t],d=1,D=1)36703788.8686401Range27020Trim Var.22229950.4
V(Y[t],d=2,D=1)92139051.5381643Range44005Trim Var.50661415.999359
V(Y[t],d=3,D=1)319195828.936364Range76554Trim Var.179657086.400810
V(Y[t],d=0,D=2)559040666.596825Range77718Trim Var.435708461.608871
V(Y[t],d=1,D=2)106828584.588235Range44001Trim Var.63289612.8494624
V(Y[t],d=2,D=2)296909138.819964Range80924Trim Var.170126209.075862
V(Y[t],d=3,D=2)1028717509.82008Range137469Trim Var.581418045.650246


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')