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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 05:16:03 -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/t1260448676o66t0mf55qkhecm.htm/, Retrieved Thu, 28 Mar 2024 10:45:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65316, Retrieved Thu, 28 Mar 2024 10:45:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact157
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] [spectrum paper zo...] [2009-12-10 12:16:03] [a931a0a30926b49d162330b43e89b999] [Current]
- RMPD      [Spectral Analysis] [paper spectrum ] [2009-12-10 17:24:58] [03c44f58d7d4de05d4cfabfda8c46d2c]
-   PD        [Spectral Analysis] [spectrum graan] [2009-12-21 16:01:58] [12f02da0296cb21dc23d82ae014a8b71]
- R PD        [Spectral Analysis] [spectrum paper] [2009-12-24 16:37:34] [757146c69eaf0537be37c7b0c18216d8]
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Dataseries X:
108.5
112.3
116.6
115.5
120.1
132.9
128.1
129.3
132.5
131
124.9
120.8
122
122.1
127.4
135.2
137.3
135
136
138.4
134.7
138.4
133.9
133.6
141.2
151.8
155.4
156.6
161.6
160.7
156
159.5
168.7
169.9
169.9
185.9
190.8
195.8
211.9
227.1
251.3
256.7
251.9
251.2
270.3
267.2
243
229.9
187.2
178.2
175.2
192.4
187
184
194.1
212.7
217.5
200.5
205.9
196.5
206.3




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=65316&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=65316&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65316&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)1984.14133333333Range161.8Trim Var.1386.79447750363
V(Y[t],d=1,D=0)108.849932203390Range66.9Trim Var.43.8007826694619
V(Y[t],d=2,D=0)149.447066043250Range63.3Trim Var.91.211015965167
V(Y[t],d=3,D=0)402.274751966123Range106.1Trim Var.207.189996229261
V(Y[t],d=0,D=1)2047.54541666667Range174.3Trim Var.1351.03637873754
V(Y[t],d=1,D=1)253.957163120568Range100.1Trim Var.96.1069512195122
V(Y[t],d=2,D=1)298.723459759482Range82.4Trim Var.139.908256097561
V(Y[t],d=3,D=1)767.687811594204Range144.1Trim Var.369.193532051283
V(Y[t],d=0,D=2)6068.60453453454Range244.6Trim Var.4906.78820075758
V(Y[t],d=1,D=2)770.773492063493Range148.9Trim Var.308.744264112903
V(Y[t],d=2,D=2)677.22255462185Range115.000000000000Trim Var.366.905612903226
V(Y[t],d=3,D=2)1592.8073083779Range172.7Trim Var.1003.47757471265

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 1984.14133333333 & Range & 161.8 & Trim Var. & 1386.79447750363 \tabularnewline
V(Y[t],d=1,D=0) & 108.849932203390 & Range & 66.9 & Trim Var. & 43.8007826694619 \tabularnewline
V(Y[t],d=2,D=0) & 149.447066043250 & Range & 63.3 & Trim Var. & 91.211015965167 \tabularnewline
V(Y[t],d=3,D=0) & 402.274751966123 & Range & 106.1 & Trim Var. & 207.189996229261 \tabularnewline
V(Y[t],d=0,D=1) & 2047.54541666667 & Range & 174.3 & Trim Var. & 1351.03637873754 \tabularnewline
V(Y[t],d=1,D=1) & 253.957163120568 & Range & 100.1 & Trim Var. & 96.1069512195122 \tabularnewline
V(Y[t],d=2,D=1) & 298.723459759482 & Range & 82.4 & Trim Var. & 139.908256097561 \tabularnewline
V(Y[t],d=3,D=1) & 767.687811594204 & Range & 144.1 & Trim Var. & 369.193532051283 \tabularnewline
V(Y[t],d=0,D=2) & 6068.60453453454 & Range & 244.6 & Trim Var. & 4906.78820075758 \tabularnewline
V(Y[t],d=1,D=2) & 770.773492063493 & Range & 148.9 & Trim Var. & 308.744264112903 \tabularnewline
V(Y[t],d=2,D=2) & 677.22255462185 & Range & 115.000000000000 & Trim Var. & 366.905612903226 \tabularnewline
V(Y[t],d=3,D=2) & 1592.8073083779 & Range & 172.7 & Trim Var. & 1003.47757471265 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65316&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]1984.14133333333[/C][C]Range[/C][C]161.8[/C][C]Trim Var.[/C][C]1386.79447750363[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]108.849932203390[/C][C]Range[/C][C]66.9[/C][C]Trim Var.[/C][C]43.8007826694619[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]149.447066043250[/C][C]Range[/C][C]63.3[/C][C]Trim Var.[/C][C]91.211015965167[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]402.274751966123[/C][C]Range[/C][C]106.1[/C][C]Trim Var.[/C][C]207.189996229261[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]2047.54541666667[/C][C]Range[/C][C]174.3[/C][C]Trim Var.[/C][C]1351.03637873754[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]253.957163120568[/C][C]Range[/C][C]100.1[/C][C]Trim Var.[/C][C]96.1069512195122[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]298.723459759482[/C][C]Range[/C][C]82.4[/C][C]Trim Var.[/C][C]139.908256097561[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]767.687811594204[/C][C]Range[/C][C]144.1[/C][C]Trim Var.[/C][C]369.193532051283[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]6068.60453453454[/C][C]Range[/C][C]244.6[/C][C]Trim Var.[/C][C]4906.78820075758[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]770.773492063493[/C][C]Range[/C][C]148.9[/C][C]Trim Var.[/C][C]308.744264112903[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]677.22255462185[/C][C]Range[/C][C]115.000000000000[/C][C]Trim Var.[/C][C]366.905612903226[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1592.8073083779[/C][C]Range[/C][C]172.7[/C][C]Trim Var.[/C][C]1003.47757471265[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65316&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65316&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)1984.14133333333Range161.8Trim Var.1386.79447750363
V(Y[t],d=1,D=0)108.849932203390Range66.9Trim Var.43.8007826694619
V(Y[t],d=2,D=0)149.447066043250Range63.3Trim Var.91.211015965167
V(Y[t],d=3,D=0)402.274751966123Range106.1Trim Var.207.189996229261
V(Y[t],d=0,D=1)2047.54541666667Range174.3Trim Var.1351.03637873754
V(Y[t],d=1,D=1)253.957163120568Range100.1Trim Var.96.1069512195122
V(Y[t],d=2,D=1)298.723459759482Range82.4Trim Var.139.908256097561
V(Y[t],d=3,D=1)767.687811594204Range144.1Trim Var.369.193532051283
V(Y[t],d=0,D=2)6068.60453453454Range244.6Trim Var.4906.78820075758
V(Y[t],d=1,D=2)770.773492063493Range148.9Trim Var.308.744264112903
V(Y[t],d=2,D=2)677.22255462185Range115.000000000000Trim Var.366.905612903226
V(Y[t],d=3,D=2)1592.8073083779Range172.7Trim Var.1003.47757471265



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')