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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 computationFri, 27 Nov 2009 05:24:57 -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/Nov/27/t12593247437wls36umyp32z5w.htm/, Retrieved Mon, 29 Apr 2024 07:35:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60636, Retrieved Mon, 29 Apr 2024 07:35:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [Ws 8 variantie re...] [2009-11-27 12:24:57] [51d49d3536f6a59f2486a67bf50b2759] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1901
1395
1639
1643
1751
1797
1373
1558
1555
2061
2010
2119
1985
1963
2017
1975
1589
1679
1392
1511
1449
1767
1899
2179
2217
2049
2343
2175
1607
1702
1764
1766
1615
1953
2091
2411
2550
2351
2786
2525
2474
2332
1978
1789
1904
1997
2207
2453
1948
1384
1989
2140
2100
2045
2083
2022
1950
1422
1859
2147

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=60636&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=60636&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60636&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)105687.975988701Range1413Trim Var.73041.2610062893
V(Y[t],d=1,D=0)72153.4535359439Range1173Trim Var.47134.1117561684
V(Y[t],d=2,D=0)156289.094978826Range1920Trim Var.92161.838612368
V(Y[t],d=3,D=0)459959.357769424Range3044Trim Var.308605.259607843
V(Y[t],d=0,D=1)126109.595301418Range1834Trim Var.60310.5342624855
V(Y[t],d=1,D=1)66418.1267345051Range1161Trim Var.33568.0195121951
V(Y[t],d=2,D=1)128338.154589372Range1602Trim Var.78109.8461538462
V(Y[t],d=3,D=1)341990.8Range2646Trim Var.206259.252361673
V(Y[t],d=0,D=2)269381.485714286Range2118Trim Var.173938.189516129
V(Y[t],d=1,D=2)135970.852100840Range1573Trim Var.78016.0903225806
V(Y[t],d=2,D=2)268814.481283422Range2071Trim Var.177426.960919540
V(Y[t],d=3,D=2)674115.84280303Range3448Trim Var.416605.935960591

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 105687.975988701 & Range & 1413 & Trim Var. & 73041.2610062893 \tabularnewline
V(Y[t],d=1,D=0) & 72153.4535359439 & Range & 1173 & Trim Var. & 47134.1117561684 \tabularnewline
V(Y[t],d=2,D=0) & 156289.094978826 & Range & 1920 & Trim Var. & 92161.838612368 \tabularnewline
V(Y[t],d=3,D=0) & 459959.357769424 & Range & 3044 & Trim Var. & 308605.259607843 \tabularnewline
V(Y[t],d=0,D=1) & 126109.595301418 & Range & 1834 & Trim Var. & 60310.5342624855 \tabularnewline
V(Y[t],d=1,D=1) & 66418.1267345051 & Range & 1161 & Trim Var. & 33568.0195121951 \tabularnewline
V(Y[t],d=2,D=1) & 128338.154589372 & Range & 1602 & Trim Var. & 78109.8461538462 \tabularnewline
V(Y[t],d=3,D=1) & 341990.8 & Range & 2646 & Trim Var. & 206259.252361673 \tabularnewline
V(Y[t],d=0,D=2) & 269381.485714286 & Range & 2118 & Trim Var. & 173938.189516129 \tabularnewline
V(Y[t],d=1,D=2) & 135970.852100840 & Range & 1573 & Trim Var. & 78016.0903225806 \tabularnewline
V(Y[t],d=2,D=2) & 268814.481283422 & Range & 2071 & Trim Var. & 177426.960919540 \tabularnewline
V(Y[t],d=3,D=2) & 674115.84280303 & Range & 3448 & Trim Var. & 416605.935960591 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60636&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]105687.975988701[/C][C]Range[/C][C]1413[/C][C]Trim Var.[/C][C]73041.2610062893[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]72153.4535359439[/C][C]Range[/C][C]1173[/C][C]Trim Var.[/C][C]47134.1117561684[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]156289.094978826[/C][C]Range[/C][C]1920[/C][C]Trim Var.[/C][C]92161.838612368[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]459959.357769424[/C][C]Range[/C][C]3044[/C][C]Trim Var.[/C][C]308605.259607843[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]126109.595301418[/C][C]Range[/C][C]1834[/C][C]Trim Var.[/C][C]60310.5342624855[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]66418.1267345051[/C][C]Range[/C][C]1161[/C][C]Trim Var.[/C][C]33568.0195121951[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]128338.154589372[/C][C]Range[/C][C]1602[/C][C]Trim Var.[/C][C]78109.8461538462[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]341990.8[/C][C]Range[/C][C]2646[/C][C]Trim Var.[/C][C]206259.252361673[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]269381.485714286[/C][C]Range[/C][C]2118[/C][C]Trim Var.[/C][C]173938.189516129[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]135970.852100840[/C][C]Range[/C][C]1573[/C][C]Trim Var.[/C][C]78016.0903225806[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]268814.481283422[/C][C]Range[/C][C]2071[/C][C]Trim Var.[/C][C]177426.960919540[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]674115.84280303[/C][C]Range[/C][C]3448[/C][C]Trim Var.[/C][C]416605.935960591[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60636&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60636&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)105687.975988701Range1413Trim Var.73041.2610062893
V(Y[t],d=1,D=0)72153.4535359439Range1173Trim Var.47134.1117561684
V(Y[t],d=2,D=0)156289.094978826Range1920Trim Var.92161.838612368
V(Y[t],d=3,D=0)459959.357769424Range3044Trim Var.308605.259607843
V(Y[t],d=0,D=1)126109.595301418Range1834Trim Var.60310.5342624855
V(Y[t],d=1,D=1)66418.1267345051Range1161Trim Var.33568.0195121951
V(Y[t],d=2,D=1)128338.154589372Range1602Trim Var.78109.8461538462
V(Y[t],d=3,D=1)341990.8Range2646Trim Var.206259.252361673
V(Y[t],d=0,D=2)269381.485714286Range2118Trim Var.173938.189516129
V(Y[t],d=1,D=2)135970.852100840Range1573Trim Var.78016.0903225806
V(Y[t],d=2,D=2)268814.481283422Range2071Trim Var.177426.960919540
V(Y[t],d=3,D=2)674115.84280303Range3448Trim Var.416605.935960591


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')