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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 computationWed, 09 Dec 2009 07:50:30 -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/09/t1260370269eorcev35oqbpbda.htm/, Retrieved Mon, 29 Apr 2024 14:56:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64979, Retrieved Mon, 29 Apr 2024 14:56:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104

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]
- R  D        [Variance Reduction Matrix] [WS08 - VRM] [2009-11-25 20:58:28] [df6326eec97a6ca984a853b142930499]
-    D            [Variance Reduction Matrix] [WS10 - VRM Y] [2009-12-09 14:50:30] [0cc924834281808eda7297686c82928f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
286.1
307
358.1
341.8
378.8
375.2
295.6
362.7
409.6
336.8
389.1
389.3
355.9
542
648.4
452
582.4
506.5
555.5
530.4
609.4
543.9
616.2
634.6
541.7
549.8
627.6
797.4
689.8
1576.6
1572.1
1626.4
1972.4
1509.6
1584.9
1880
1324
1777.7
2172.4
1780.3
2134.9
1838.4
1557
1755.2
1702
1577.5
1485.9
2179.1
1740.9
1724.5
2328.1
1774.1
2224.2
1536.3
1521.2
2051.8
2483.1
1929.8
1808.6
2584.9
1997.9
1639.9
2379.1
1715
2750.9
1865.4
1647.4
2180.4
2593
2057.2
2635.8
2315.4
1863.6
2038
2235.8
2222.1
2636.9
2076.8
1935.5
2086.3
2470.9
1854.6
2041.3
2170.8
1905.5
2130.2
2791.2
2539.7
2661.3
1764.9
2176.9
2458.5
2179
2242.5
2089.6
2661.6
2112
2367.3
2543
2603.9
3146.7
1789.2
2114.8
2236.3
2288.1
2173.2
1877.7
2807.4
2357.4
2107.7
2856.8
2510.8
2875
2229.7
2055.1
2545.4
2775.1
2252.2
2091.7
2433

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=64979&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=64979&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64979&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)613530.04210014Range2860.6Trim Var.496418.72767307
V(Y[t],d=1,D=0)168546.344307079Range2393.4Trim Var.100831.882710280
V(Y[t],d=2,D=0)495427.568141388Range3621.4Trim Var.306605.360450135
V(Y[t],d=3,D=0)1614619.69887268Range7204.8Trim Var.983235.247765568
V(Y[t],d=0,D=1)167306.015607477Range2139.3Trim Var.88385.596051535
V(Y[t],d=1,D=1)145058.723842356Range2146Trim Var.86535.3706203807
V(Y[t],d=2,D=1)420931.310576819Range3140.4Trim Var.264423.341639213
V(Y[t],d=3,D=1)1410388.69016484Range5698Trim Var.845382.640402057
V(Y[t],d=0,D=2)430695.379508772Range3199Trim Var.266402.158270862
V(Y[t],d=1,D=2)400815.054138858Range3692.6Trim Var.251970.253893557
V(Y[t],d=2,D=2)1145676.00184969Range5484.5Trim Var.776764.715988239
V(Y[t],d=3,D=2)3826497.99164329Range9243.3Trim Var.2559771.88659418

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 613530.04210014 & Range & 2860.6 & Trim Var. & 496418.72767307 \tabularnewline
V(Y[t],d=1,D=0) & 168546.344307079 & Range & 2393.4 & Trim Var. & 100831.882710280 \tabularnewline
V(Y[t],d=2,D=0) & 495427.568141388 & Range & 3621.4 & Trim Var. & 306605.360450135 \tabularnewline
V(Y[t],d=3,D=0) & 1614619.69887268 & Range & 7204.8 & Trim Var. & 983235.247765568 \tabularnewline
V(Y[t],d=0,D=1) & 167306.015607477 & Range & 2139.3 & Trim Var. & 88385.596051535 \tabularnewline
V(Y[t],d=1,D=1) & 145058.723842356 & Range & 2146 & Trim Var. & 86535.3706203807 \tabularnewline
V(Y[t],d=2,D=1) & 420931.310576819 & Range & 3140.4 & Trim Var. & 264423.341639213 \tabularnewline
V(Y[t],d=3,D=1) & 1410388.69016484 & Range & 5698 & Trim Var. & 845382.640402057 \tabularnewline
V(Y[t],d=0,D=2) & 430695.379508772 & Range & 3199 & Trim Var. & 266402.158270862 \tabularnewline
V(Y[t],d=1,D=2) & 400815.054138858 & Range & 3692.6 & Trim Var. & 251970.253893557 \tabularnewline
V(Y[t],d=2,D=2) & 1145676.00184969 & Range & 5484.5 & Trim Var. & 776764.715988239 \tabularnewline
V(Y[t],d=3,D=2) & 3826497.99164329 & Range & 9243.3 & Trim Var. & 2559771.88659418 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64979&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]613530.04210014[/C][C]Range[/C][C]2860.6[/C][C]Trim Var.[/C][C]496418.72767307[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]168546.344307079[/C][C]Range[/C][C]2393.4[/C][C]Trim Var.[/C][C]100831.882710280[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]495427.568141388[/C][C]Range[/C][C]3621.4[/C][C]Trim Var.[/C][C]306605.360450135[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1614619.69887268[/C][C]Range[/C][C]7204.8[/C][C]Trim Var.[/C][C]983235.247765568[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]167306.015607477[/C][C]Range[/C][C]2139.3[/C][C]Trim Var.[/C][C]88385.596051535[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]145058.723842356[/C][C]Range[/C][C]2146[/C][C]Trim Var.[/C][C]86535.3706203807[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]420931.310576819[/C][C]Range[/C][C]3140.4[/C][C]Trim Var.[/C][C]264423.341639213[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1410388.69016484[/C][C]Range[/C][C]5698[/C][C]Trim Var.[/C][C]845382.640402057[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]430695.379508772[/C][C]Range[/C][C]3199[/C][C]Trim Var.[/C][C]266402.158270862[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]400815.054138858[/C][C]Range[/C][C]3692.6[/C][C]Trim Var.[/C][C]251970.253893557[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1145676.00184969[/C][C]Range[/C][C]5484.5[/C][C]Trim Var.[/C][C]776764.715988239[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3826497.99164329[/C][C]Range[/C][C]9243.3[/C][C]Trim Var.[/C][C]2559771.88659418[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64979&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64979&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)613530.04210014Range2860.6Trim Var.496418.72767307
V(Y[t],d=1,D=0)168546.344307079Range2393.4Trim Var.100831.882710280
V(Y[t],d=2,D=0)495427.568141388Range3621.4Trim Var.306605.360450135
V(Y[t],d=3,D=0)1614619.69887268Range7204.8Trim Var.983235.247765568
V(Y[t],d=0,D=1)167306.015607477Range2139.3Trim Var.88385.596051535
V(Y[t],d=1,D=1)145058.723842356Range2146Trim Var.86535.3706203807
V(Y[t],d=2,D=1)420931.310576819Range3140.4Trim Var.264423.341639213
V(Y[t],d=3,D=1)1410388.69016484Range5698Trim Var.845382.640402057
V(Y[t],d=0,D=2)430695.379508772Range3199Trim Var.266402.158270862
V(Y[t],d=1,D=2)400815.054138858Range3692.6Trim Var.251970.253893557
V(Y[t],d=2,D=2)1145676.00184969Range5484.5Trim Var.776764.715988239
V(Y[t],d=3,D=2)3826497.99164329Range9243.3Trim Var.2559771.88659418


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')