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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 08:11:21 -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/t12292676069o0352677xob0q1.htm/, Retrieved Thu, 16 May 2024 01:03:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33413, Retrieved Thu, 16 May 2024 01:03:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164

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] [Invoer] [2008-12-14 15:11:21] [5925747fb2a6bb4cfcd8015825ee5e92] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11554,5
13182,1
14800,1
12150,7
14478,2
13253,9
12036,8
12653,2
14035,4
14571,4
15400,9
14283,2
14485,3
14196,3
15559,1
13767,4
14634
14381,1
12509,9
12122,3
13122,3
13908,7
13456,5
12441,6
12953
13057,2
14350,1
13830,2
13755,5
13574,4
12802,6
11737,3
13850,2
15081,8
13653,3
14019,1
13962
13768,7
14747,1
13858,1
13188
13693,1
12970
11392,8
13985,2
14994,7
13584,7
14257,8
13553,4
14007,3
16535,8
14721,4
13664,6
16805,9
13829,4
13735,6
15870,5
15962,4
15744,1
16083,7
14863,9
15533,1
17473,1
15925,5
15573,7
17495
14155,8
14913,9
17250,4
15879,8
17647,8
17749,9
17111,8
16934,8
20280
16238,2
17896,1
18089,3
15660
16162,4
17850,1
18520,4
18524,7
16843,7

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=33413&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=33413&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33413&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)3338491.11450803Range8887.2Trim Var.2080833.54574047
V(Y[t],d=1,D=0)2162220.46459595Range7387Trim Var.1223766.1836035
V(Y[t],d=2,D=0)6007352.26178862Range13086.7Trim Var.3111605.05914711
V(Y[t],d=3,D=0)18788377.4383457Range23995.9Trim Var.8919644.87570221
V(Y[t],d=0,D=1)1288398.43772887Range5057.2Trim Var.800441.531505456
V(Y[t],d=1,D=1)1147668.31390342Range5130.4Trim Var.694054.600681004
V(Y[t],d=2,D=1)3442533.59690476Range9393.5Trim Var.1879425.61604707
V(Y[t],d=3,D=1)11865718.4489173Range16868.1Trim Var.6408555.38520766
V(Y[t],d=0,D=2)2465479.91851695Range7882.2Trim Var.1594020.71525157
V(Y[t],d=1,D=2)2053581.95459381Range7359.60000000001Trim Var.1166321.18908563
V(Y[t],d=2,D=2)5850959.66834847Range13000.3000000000Trim Var.3207408.33038839
V(Y[t],d=3,D=2)19969824.1557394Range22302.0000000000Trim Var.11454592.5341490

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 3338491.11450803 & Range & 8887.2 & Trim Var. & 2080833.54574047 \tabularnewline
V(Y[t],d=1,D=0) & 2162220.46459595 & Range & 7387 & Trim Var. & 1223766.1836035 \tabularnewline
V(Y[t],d=2,D=0) & 6007352.26178862 & Range & 13086.7 & Trim Var. & 3111605.05914711 \tabularnewline
V(Y[t],d=3,D=0) & 18788377.4383457 & Range & 23995.9 & Trim Var. & 8919644.87570221 \tabularnewline
V(Y[t],d=0,D=1) & 1288398.43772887 & Range & 5057.2 & Trim Var. & 800441.531505456 \tabularnewline
V(Y[t],d=1,D=1) & 1147668.31390342 & Range & 5130.4 & Trim Var. & 694054.600681004 \tabularnewline
V(Y[t],d=2,D=1) & 3442533.59690476 & Range & 9393.5 & Trim Var. & 1879425.61604707 \tabularnewline
V(Y[t],d=3,D=1) & 11865718.4489173 & Range & 16868.1 & Trim Var. & 6408555.38520766 \tabularnewline
V(Y[t],d=0,D=2) & 2465479.91851695 & Range & 7882.2 & Trim Var. & 1594020.71525157 \tabularnewline
V(Y[t],d=1,D=2) & 2053581.95459381 & Range & 7359.60000000001 & Trim Var. & 1166321.18908563 \tabularnewline
V(Y[t],d=2,D=2) & 5850959.66834847 & Range & 13000.3000000000 & Trim Var. & 3207408.33038839 \tabularnewline
V(Y[t],d=3,D=2) & 19969824.1557394 & Range & 22302.0000000000 & Trim Var. & 11454592.5341490 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33413&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]3338491.11450803[/C][C]Range[/C][C]8887.2[/C][C]Trim Var.[/C][C]2080833.54574047[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]2162220.46459595[/C][C]Range[/C][C]7387[/C][C]Trim Var.[/C][C]1223766.1836035[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]6007352.26178862[/C][C]Range[/C][C]13086.7[/C][C]Trim Var.[/C][C]3111605.05914711[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]18788377.4383457[/C][C]Range[/C][C]23995.9[/C][C]Trim Var.[/C][C]8919644.87570221[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1288398.43772887[/C][C]Range[/C][C]5057.2[/C][C]Trim Var.[/C][C]800441.531505456[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1147668.31390342[/C][C]Range[/C][C]5130.4[/C][C]Trim Var.[/C][C]694054.600681004[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]3442533.59690476[/C][C]Range[/C][C]9393.5[/C][C]Trim Var.[/C][C]1879425.61604707[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]11865718.4489173[/C][C]Range[/C][C]16868.1[/C][C]Trim Var.[/C][C]6408555.38520766[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2465479.91851695[/C][C]Range[/C][C]7882.2[/C][C]Trim Var.[/C][C]1594020.71525157[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]2053581.95459381[/C][C]Range[/C][C]7359.60000000001[/C][C]Trim Var.[/C][C]1166321.18908563[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]5850959.66834847[/C][C]Range[/C][C]13000.3000000000[/C][C]Trim Var.[/C][C]3207408.33038839[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]19969824.1557394[/C][C]Range[/C][C]22302.0000000000[/C][C]Trim Var.[/C][C]11454592.5341490[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33413&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33413&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)3338491.11450803Range8887.2Trim Var.2080833.54574047
V(Y[t],d=1,D=0)2162220.46459595Range7387Trim Var.1223766.1836035
V(Y[t],d=2,D=0)6007352.26178862Range13086.7Trim Var.3111605.05914711
V(Y[t],d=3,D=0)18788377.4383457Range23995.9Trim Var.8919644.87570221
V(Y[t],d=0,D=1)1288398.43772887Range5057.2Trim Var.800441.531505456
V(Y[t],d=1,D=1)1147668.31390342Range5130.4Trim Var.694054.600681004
V(Y[t],d=2,D=1)3442533.59690476Range9393.5Trim Var.1879425.61604707
V(Y[t],d=3,D=1)11865718.4489173Range16868.1Trim Var.6408555.38520766
V(Y[t],d=0,D=2)2465479.91851695Range7882.2Trim Var.1594020.71525157
V(Y[t],d=1,D=2)2053581.95459381Range7359.60000000001Trim Var.1166321.18908563
V(Y[t],d=2,D=2)5850959.66834847Range13000.3000000000Trim Var.3207408.33038839
V(Y[t],d=3,D=2)19969824.1557394Range22302.0000000000Trim Var.11454592.5341490


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')