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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 computationThu, 11 Dec 2008 05:17:54 -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/11/t1228997908j547ifef5xqzly5.htm/, Retrieved Sun, 19 May 2024 05:12:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32184, Retrieved Sun, 19 May 2024 05:12:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [variance reduction] [2008-12-11 12:17:54] [a9e6d7cd6e144e8b311d9f96a24c5a25] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2648.9
2669.6
3042.3
2604.2
2732.1
2621.7
2483.7
2479.3
2684.6
2834.7
2566.1
2251.2
2350
2299.8
2542.8
2530.2
2508.1
2616.8
2534.1
2181.8
2578.9
2841.9
2529.9
2103.2
2326.2
2452.6
2782.1
2727.3
2648.2
2760.7
2613
2225.4
2713.9
2923.3
2707
2473.9
2521
2531.8
3068.8
2826.9
2674.2
2966.6
2798.8
2629.6
3124.6
3115.7
3083
2863.9
2728.7
2789.4
3225.7
3148.2
2836.5
3153.5
2656.9
2834.7
3172.5
2998.8
3103.1
2735.6
2818.1
2874.4
3438.5
2949.1
3306.8
3530
3003.8
3206.4
3514.6
3522.6
3525.5
2996.2
3231.1
3030
3541.7
3113.2
3390.8
3424.2
3079.8
3123.4
3317.1
3579.9
3317.9
2668.1

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32184&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32184&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32184&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)126170.793367757Range1476.7Trim Var.82674.1056219919
V(Y[t],d=1,D=0)81182.6282750514Range1213.9Trim Var.53323.8953805175
V(Y[t],d=2,D=0)204582.57711081Range1929.6Trim Var.133720.156883803
V(Y[t],d=3,D=0)628282.63275Range3553.6Trim Var.388965.424559356
V(Y[t],d=0,D=1)47674.0949295775Range1023.3Trim Var.30798.9066666667
V(Y[t],d=1,D=1)34503.8147283702Range1081.3Trim Var.18219.7035842294
V(Y[t],d=2,D=1)102436.248331263Range1844.5Trim Var.55140.4957826547
V(Y[t],d=3,D=1)344687.752216539Range3465.5Trim Var.184991.694295082
V(Y[t],d=0,D=2)109720.752483051Range1368.8Trim Var.79471.8884451433
V(Y[t],d=1,D=2)70881.7910753945Range1577.9Trim Var.37118.4317343977
V(Y[t],d=2,D=2)205824.155499093Range2627Trim Var.114883.593076923
V(Y[t],d=3,D=2)696924.471052632Range4561Trim Var.370351.495741177

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 126170.793367757 & Range & 1476.7 & Trim Var. & 82674.1056219919 \tabularnewline
V(Y[t],d=1,D=0) & 81182.6282750514 & Range & 1213.9 & Trim Var. & 53323.8953805175 \tabularnewline
V(Y[t],d=2,D=0) & 204582.57711081 & Range & 1929.6 & Trim Var. & 133720.156883803 \tabularnewline
V(Y[t],d=3,D=0) & 628282.63275 & Range & 3553.6 & Trim Var. & 388965.424559356 \tabularnewline
V(Y[t],d=0,D=1) & 47674.0949295775 & Range & 1023.3 & Trim Var. & 30798.9066666667 \tabularnewline
V(Y[t],d=1,D=1) & 34503.8147283702 & Range & 1081.3 & Trim Var. & 18219.7035842294 \tabularnewline
V(Y[t],d=2,D=1) & 102436.248331263 & Range & 1844.5 & Trim Var. & 55140.4957826547 \tabularnewline
V(Y[t],d=3,D=1) & 344687.752216539 & Range & 3465.5 & Trim Var. & 184991.694295082 \tabularnewline
V(Y[t],d=0,D=2) & 109720.752483051 & Range & 1368.8 & Trim Var. & 79471.8884451433 \tabularnewline
V(Y[t],d=1,D=2) & 70881.7910753945 & Range & 1577.9 & Trim Var. & 37118.4317343977 \tabularnewline
V(Y[t],d=2,D=2) & 205824.155499093 & Range & 2627 & Trim Var. & 114883.593076923 \tabularnewline
V(Y[t],d=3,D=2) & 696924.471052632 & Range & 4561 & Trim Var. & 370351.495741177 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32184&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]126170.793367757[/C][C]Range[/C][C]1476.7[/C][C]Trim Var.[/C][C]82674.1056219919[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]81182.6282750514[/C][C]Range[/C][C]1213.9[/C][C]Trim Var.[/C][C]53323.8953805175[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]204582.57711081[/C][C]Range[/C][C]1929.6[/C][C]Trim Var.[/C][C]133720.156883803[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]628282.63275[/C][C]Range[/C][C]3553.6[/C][C]Trim Var.[/C][C]388965.424559356[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]47674.0949295775[/C][C]Range[/C][C]1023.3[/C][C]Trim Var.[/C][C]30798.9066666667[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]34503.8147283702[/C][C]Range[/C][C]1081.3[/C][C]Trim Var.[/C][C]18219.7035842294[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]102436.248331263[/C][C]Range[/C][C]1844.5[/C][C]Trim Var.[/C][C]55140.4957826547[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]344687.752216539[/C][C]Range[/C][C]3465.5[/C][C]Trim Var.[/C][C]184991.694295082[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]109720.752483051[/C][C]Range[/C][C]1368.8[/C][C]Trim Var.[/C][C]79471.8884451433[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]70881.7910753945[/C][C]Range[/C][C]1577.9[/C][C]Trim Var.[/C][C]37118.4317343977[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]205824.155499093[/C][C]Range[/C][C]2627[/C][C]Trim Var.[/C][C]114883.593076923[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]696924.471052632[/C][C]Range[/C][C]4561[/C][C]Trim Var.[/C][C]370351.495741177[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32184&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32184&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)126170.793367757Range1476.7Trim Var.82674.1056219919
V(Y[t],d=1,D=0)81182.6282750514Range1213.9Trim Var.53323.8953805175
V(Y[t],d=2,D=0)204582.57711081Range1929.6Trim Var.133720.156883803
V(Y[t],d=3,D=0)628282.63275Range3553.6Trim Var.388965.424559356
V(Y[t],d=0,D=1)47674.0949295775Range1023.3Trim Var.30798.9066666667
V(Y[t],d=1,D=1)34503.8147283702Range1081.3Trim Var.18219.7035842294
V(Y[t],d=2,D=1)102436.248331263Range1844.5Trim Var.55140.4957826547
V(Y[t],d=3,D=1)344687.752216539Range3465.5Trim Var.184991.694295082
V(Y[t],d=0,D=2)109720.752483051Range1368.8Trim Var.79471.8884451433
V(Y[t],d=1,D=2)70881.7910753945Range1577.9Trim Var.37118.4317343977
V(Y[t],d=2,D=2)205824.155499093Range2627Trim Var.114883.593076923
V(Y[t],d=3,D=2)696924.471052632Range4561Trim Var.370351.495741177


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')