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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, 26 Dec 2010 13:56:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/26/t1293371737kvcpawhgbydfvk2.htm/, Retrieved Mon, 06 May 2024 20:32:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115610, Retrieved Mon, 06 May 2024 20:32:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155

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] [] [2010-12-17 09:57:58] [d39e5c40c631ed6c22677d2e41dbfc7d]
-   PD    [Variance Reduction Matrix] [paper d=1 D=0] [2010-12-26 13:56:15] [6df2229e3f2091de42c4a9cf9a617420] [Current]
-   PD      [Variance Reduction Matrix] [paper eonia d=1 D=0] [2010-12-26 17:07:35] [eeb33d252044f8583501f5ba0605ad6d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
61,2
62
65,1
63,2
66,3
61,9
62,1
66,3
72
65,3
67,6
70,5
74,2
77,8
78,5
77,8
81,4
84,5
88
93,9
98,9
96,7
98,9
102,2
105,4
105,1
116,6
112
108,8
106,9
109,5
106,7
118,9
117,5
113,7
119,6
120,6
117,5
120,3
119,8
108
98,8
94,6
84,6
84,4
79,1
73,3
74,3
67,8
64,8
66,5
57,7
53,8
51,8
50,9
49
48,1
42,6
40,9
43,3
43,7

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115610&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]1 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=115610&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115610&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)587.408699453552Range79.7Trim Var.446.72847605225
V(Y[t],d=1,D=0)22.0275564971751Range24Trim Var.11.9424600870827
V(Y[t],d=2,D=0)38.0134015195792Range31.1Trim Var.22.0399854862119
V(Y[t],d=3,D=0)116.974231699939Range50Trim Var.71.741338612368
V(Y[t],d=0,D=1)981.740527210884Range100.2Trim Var.813.059568106312
V(Y[t],d=1,D=1)29.3479742907801Range23.2Trim Var.20.2571718931475
V(Y[t],d=2,D=1)46.9741813135985Range30.9Trim Var.24.349487804878
V(Y[t],d=3,D=1)144.642246376811Range53.1Trim Var.77.649737179487
V(Y[t],d=0,D=2)825.151996996997Range98.6Trim Var.642.084886363636
V(Y[t],d=1,D=2)90.4876428571428Range36.1Trim Var.60.9509274193548
V(Y[t],d=2,D=2)152.007932773109Range50Trim Var.90.6212903225805
V(Y[t],d=3,D=2)472.118930481283Range87.1Trim Var.275.576103448276

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 587.408699453552 & Range & 79.7 & Trim Var. & 446.72847605225 \tabularnewline
V(Y[t],d=1,D=0) & 22.0275564971751 & Range & 24 & Trim Var. & 11.9424600870827 \tabularnewline
V(Y[t],d=2,D=0) & 38.0134015195792 & Range & 31.1 & Trim Var. & 22.0399854862119 \tabularnewline
V(Y[t],d=3,D=0) & 116.974231699939 & Range & 50 & Trim Var. & 71.741338612368 \tabularnewline
V(Y[t],d=0,D=1) & 981.740527210884 & Range & 100.2 & Trim Var. & 813.059568106312 \tabularnewline
V(Y[t],d=1,D=1) & 29.3479742907801 & Range & 23.2 & Trim Var. & 20.2571718931475 \tabularnewline
V(Y[t],d=2,D=1) & 46.9741813135985 & Range & 30.9 & Trim Var. & 24.349487804878 \tabularnewline
V(Y[t],d=3,D=1) & 144.642246376811 & Range & 53.1 & Trim Var. & 77.649737179487 \tabularnewline
V(Y[t],d=0,D=2) & 825.151996996997 & Range & 98.6 & Trim Var. & 642.084886363636 \tabularnewline
V(Y[t],d=1,D=2) & 90.4876428571428 & Range & 36.1 & Trim Var. & 60.9509274193548 \tabularnewline
V(Y[t],d=2,D=2) & 152.007932773109 & Range & 50 & Trim Var. & 90.6212903225805 \tabularnewline
V(Y[t],d=3,D=2) & 472.118930481283 & Range & 87.1 & Trim Var. & 275.576103448276 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115610&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]587.408699453552[/C][C]Range[/C][C]79.7[/C][C]Trim Var.[/C][C]446.72847605225[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]22.0275564971751[/C][C]Range[/C][C]24[/C][C]Trim Var.[/C][C]11.9424600870827[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]38.0134015195792[/C][C]Range[/C][C]31.1[/C][C]Trim Var.[/C][C]22.0399854862119[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]116.974231699939[/C][C]Range[/C][C]50[/C][C]Trim Var.[/C][C]71.741338612368[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]981.740527210884[/C][C]Range[/C][C]100.2[/C][C]Trim Var.[/C][C]813.059568106312[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]29.3479742907801[/C][C]Range[/C][C]23.2[/C][C]Trim Var.[/C][C]20.2571718931475[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]46.9741813135985[/C][C]Range[/C][C]30.9[/C][C]Trim Var.[/C][C]24.349487804878[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]144.642246376811[/C][C]Range[/C][C]53.1[/C][C]Trim Var.[/C][C]77.649737179487[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]825.151996996997[/C][C]Range[/C][C]98.6[/C][C]Trim Var.[/C][C]642.084886363636[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]90.4876428571428[/C][C]Range[/C][C]36.1[/C][C]Trim Var.[/C][C]60.9509274193548[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]152.007932773109[/C][C]Range[/C][C]50[/C][C]Trim Var.[/C][C]90.6212903225805[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]472.118930481283[/C][C]Range[/C][C]87.1[/C][C]Trim Var.[/C][C]275.576103448276[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115610&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115610&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)587.408699453552Range79.7Trim Var.446.72847605225
V(Y[t],d=1,D=0)22.0275564971751Range24Trim Var.11.9424600870827
V(Y[t],d=2,D=0)38.0134015195792Range31.1Trim Var.22.0399854862119
V(Y[t],d=3,D=0)116.974231699939Range50Trim Var.71.741338612368
V(Y[t],d=0,D=1)981.740527210884Range100.2Trim Var.813.059568106312
V(Y[t],d=1,D=1)29.3479742907801Range23.2Trim Var.20.2571718931475
V(Y[t],d=2,D=1)46.9741813135985Range30.9Trim Var.24.349487804878
V(Y[t],d=3,D=1)144.642246376811Range53.1Trim Var.77.649737179487
V(Y[t],d=0,D=2)825.151996996997Range98.6Trim Var.642.084886363636
V(Y[t],d=1,D=2)90.4876428571428Range36.1Trim Var.60.9509274193548
V(Y[t],d=2,D=2)152.007932773109Range50Trim Var.90.6212903225805
V(Y[t],d=3,D=2)472.118930481283Range87.1Trim Var.275.576103448276


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(myx,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')
bitmap(file='pic0.png')
op <- par(mfrow=c(2,2))
plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0')
plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0')
plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1')
plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1')
par(op)
dev.off()