FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 12 Dec 2008 03:45:53 -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/12/t1229078865dutju11x8lzafbs.htm/, Retrieved Fri, 17 May 2024 01:38:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32528, Retrieved Fri, 17 May 2024 01:38:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

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] [VRM - vaste rente...] [2008-12-12 10:45:53] [b4fc5040f26b33db57f84cfb8d1d2b82] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2,21
2,25
2,25
2,45
2,5
2,5
2,64
2,75
2,93
3
3,17
3,25
3,39
3,5
3,5
3,65
3,75
3,75
3,9
4
4
4
4
4
4
4
4
4
4
4
4
4,18
4,25
4,25
3,97
3,42

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 5 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32528&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32528&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32528&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 time5 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)2845.29242317429Range147Trim Var.2973.84899873469
V(Y[t],d=1,D=0)312.331928205128Range171Trim Var.8.0099731884058
V(Y[t],d=2,D=0)723.814806903623Range318Trim Var.9.67940963341858
V(Y[t],d=3,D=0)2310.56143457895Range523Trim Var.20.0920471095571
V(Y[t],d=0,D=1)2547.25619918589Range161Trim Var.1755.65927177089
V(Y[t],d=1,D=1)757.993304801865Range307Trim Var.7.01594845735027
V(Y[t],d=2,D=1)1697.73634711538Range341Trim Var.10.3228393483709
V(Y[t],d=3,D=1)5320.55853826885Range648Trim Var.53.1500337337662
V(Y[t],d=0,D=2)5644.29489885522Range308Trim Var.3583.0409625
V(Y[t],d=1,D=2)2253.38784965059Range454Trim Var.32.8918378989362
V(Y[t],d=2,D=2)5140.69860224964Range648Trim Var.56.5371999074931
V(Y[t],d=3,D=2)16305.4149746606Range1035Trim Var.219.437709227053

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2845.29242317429 & Range & 147 & Trim Var. & 2973.84899873469 \tabularnewline
V(Y[t],d=1,D=0) & 312.331928205128 & Range & 171 & Trim Var. & 8.0099731884058 \tabularnewline
V(Y[t],d=2,D=0) & 723.814806903623 & Range & 318 & Trim Var. & 9.67940963341858 \tabularnewline
V(Y[t],d=3,D=0) & 2310.56143457895 & Range & 523 & Trim Var. & 20.0920471095571 \tabularnewline
V(Y[t],d=0,D=1) & 2547.25619918589 & Range & 161 & Trim Var. & 1755.65927177089 \tabularnewline
V(Y[t],d=1,D=1) & 757.993304801865 & Range & 307 & Trim Var. & 7.01594845735027 \tabularnewline
V(Y[t],d=2,D=1) & 1697.73634711538 & Range & 341 & Trim Var. & 10.3228393483709 \tabularnewline
V(Y[t],d=3,D=1) & 5320.55853826885 & Range & 648 & Trim Var. & 53.1500337337662 \tabularnewline
V(Y[t],d=0,D=2) & 5644.29489885522 & Range & 308 & Trim Var. & 3583.0409625 \tabularnewline
V(Y[t],d=1,D=2) & 2253.38784965059 & Range & 454 & Trim Var. & 32.8918378989362 \tabularnewline
V(Y[t],d=2,D=2) & 5140.69860224964 & Range & 648 & Trim Var. & 56.5371999074931 \tabularnewline
V(Y[t],d=3,D=2) & 16305.4149746606 & Range & 1035 & Trim Var. & 219.437709227053 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32528&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2845.29242317429[/C][C]Range[/C][C]147[/C][C]Trim Var.[/C][C]2973.84899873469[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]312.331928205128[/C][C]Range[/C][C]171[/C][C]Trim Var.[/C][C]8.0099731884058[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]723.814806903623[/C][C]Range[/C][C]318[/C][C]Trim Var.[/C][C]9.67940963341858[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]2310.56143457895[/C][C]Range[/C][C]523[/C][C]Trim Var.[/C][C]20.0920471095571[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]2547.25619918589[/C][C]Range[/C][C]161[/C][C]Trim Var.[/C][C]1755.65927177089[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]757.993304801865[/C][C]Range[/C][C]307[/C][C]Trim Var.[/C][C]7.01594845735027[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]1697.73634711538[/C][C]Range[/C][C]341[/C][C]Trim Var.[/C][C]10.3228393483709[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]5320.55853826885[/C][C]Range[/C][C]648[/C][C]Trim Var.[/C][C]53.1500337337662[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]5644.29489885522[/C][C]Range[/C][C]308[/C][C]Trim Var.[/C][C]3583.0409625[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]2253.38784965059[/C][C]Range[/C][C]454[/C][C]Trim Var.[/C][C]32.8918378989362[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]5140.69860224964[/C][C]Range[/C][C]648[/C][C]Trim Var.[/C][C]56.5371999074931[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]16305.4149746606[/C][C]Range[/C][C]1035[/C][C]Trim Var.[/C][C]219.437709227053[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32528&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32528&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)2845.29242317429Range147Trim Var.2973.84899873469
V(Y[t],d=1,D=0)312.331928205128Range171Trim Var.8.0099731884058
V(Y[t],d=2,D=0)723.814806903623Range318Trim Var.9.67940963341858
V(Y[t],d=3,D=0)2310.56143457895Range523Trim Var.20.0920471095571
V(Y[t],d=0,D=1)2547.25619918589Range161Trim Var.1755.65927177089
V(Y[t],d=1,D=1)757.993304801865Range307Trim Var.7.01594845735027
V(Y[t],d=2,D=1)1697.73634711538Range341Trim Var.10.3228393483709
V(Y[t],d=3,D=1)5320.55853826885Range648Trim Var.53.1500337337662
V(Y[t],d=0,D=2)5644.29489885522Range308Trim Var.3583.0409625
V(Y[t],d=1,D=2)2253.38784965059Range454Trim Var.32.8918378989362
V(Y[t],d=2,D=2)5140.69860224964Range648Trim Var.56.5371999074931
V(Y[t],d=3,D=2)16305.4149746606Range1035Trim Var.219.437709227053


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')