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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationMon, 03 Dec 2007 14:15:25 -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/2007/Dec/03/t1196715910nser6a4rw84eqfy.htm/, Retrieved Sat, 04 May 2024 04:24:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2360, Retrieved Sat, 04 May 2024 04:24:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact205

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] [workshop 9 - Q1] [2007-12-03 21:15:25] [3463f71ebce131edf0c83e066f45702c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.5
8.5
8.5
8.4
8.5
8.5
8.3
8.4
8.4
8.4
8.4
8.4
8.5
8.5
8.5
8.5
8.5
8.5
8.3
8.3
8.4
8.2
8.2
8.1
8.1
8
7.8
7.9
7.8
7.7
7.9
7.8
7.7
7.7
7.6
7.5

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2360&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2360&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2360&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)0.103428571428571Range1Trim Var.0.07300395256917
V(Y[t],d=1,D=0)0.00915966386554621Range0.400000000000001Trim Var.0.00612903225806449
V(Y[t],d=2,D=0)0.0245365418894831Range0.600000000000001Trim Var.0.0155057471264367
V(Y[t],d=3,D=0)0.07875Range1.10000000000000Trim Var.0.0503448275862068
V(Y[t],d=0,D=1)0.0860688405797101Range0.9Trim Var.0.0299242424242423
V(Y[t],d=1,D=1)0.0192885375494071Range0.6Trim Var.0.0070175438596491
V(Y[t],d=2,D=1)0.0552380952380953Range1Trim Var.0.0240849673202615
V(Y[t],d=3,D=1)0.183476190476191Range1.5Trim Var.0.102647058823530
V(Y[t],d=0,D=2)0.0329545454545455Range0.500000000000002Trim Var.0.0262222222222223
V(Y[t],d=1,D=2)0.048909090909091Range0.700000000000001Trim Var.0.0299999999999999
V(Y[t],d=2,D=2)0.148444444444445Range1.20000000000000Trim Var.0.0857142857142855
V(Y[t],d=3,D=2)0.530000000000001Range2.20000000000000Trim Var.0.295714285714286

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.103428571428571 & Range & 1 & Trim Var. & 0.07300395256917 \tabularnewline
V(Y[t],d=1,D=0) & 0.00915966386554621 & Range & 0.400000000000001 & Trim Var. & 0.00612903225806449 \tabularnewline
V(Y[t],d=2,D=0) & 0.0245365418894831 & Range & 0.600000000000001 & Trim Var. & 0.0155057471264367 \tabularnewline
V(Y[t],d=3,D=0) & 0.07875 & Range & 1.10000000000000 & Trim Var. & 0.0503448275862068 \tabularnewline
V(Y[t],d=0,D=1) & 0.0860688405797101 & Range & 0.9 & Trim Var. & 0.0299242424242423 \tabularnewline
V(Y[t],d=1,D=1) & 0.0192885375494071 & Range & 0.6 & Trim Var. & 0.0070175438596491 \tabularnewline
V(Y[t],d=2,D=1) & 0.0552380952380953 & Range & 1 & Trim Var. & 0.0240849673202615 \tabularnewline
V(Y[t],d=3,D=1) & 0.183476190476191 & Range & 1.5 & Trim Var. & 0.102647058823530 \tabularnewline
V(Y[t],d=0,D=2) & 0.0329545454545455 & Range & 0.500000000000002 & Trim Var. & 0.0262222222222223 \tabularnewline
V(Y[t],d=1,D=2) & 0.048909090909091 & Range & 0.700000000000001 & Trim Var. & 0.0299999999999999 \tabularnewline
V(Y[t],d=2,D=2) & 0.148444444444445 & Range & 1.20000000000000 & Trim Var. & 0.0857142857142855 \tabularnewline
V(Y[t],d=3,D=2) & 0.530000000000001 & Range & 2.20000000000000 & Trim Var. & 0.295714285714286 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2360&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.103428571428571[/C][C]Range[/C][C]1[/C][C]Trim Var.[/C][C]0.07300395256917[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.00915966386554621[/C][C]Range[/C][C]0.400000000000001[/C][C]Trim Var.[/C][C]0.00612903225806449[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.0245365418894831[/C][C]Range[/C][C]0.600000000000001[/C][C]Trim Var.[/C][C]0.0155057471264367[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.07875[/C][C]Range[/C][C]1.10000000000000[/C][C]Trim Var.[/C][C]0.0503448275862068[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.0860688405797101[/C][C]Range[/C][C]0.9[/C][C]Trim Var.[/C][C]0.0299242424242423[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.0192885375494071[/C][C]Range[/C][C]0.6[/C][C]Trim Var.[/C][C]0.0070175438596491[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.0552380952380953[/C][C]Range[/C][C]1[/C][C]Trim Var.[/C][C]0.0240849673202615[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.183476190476191[/C][C]Range[/C][C]1.5[/C][C]Trim Var.[/C][C]0.102647058823530[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.0329545454545455[/C][C]Range[/C][C]0.500000000000002[/C][C]Trim Var.[/C][C]0.0262222222222223[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.048909090909091[/C][C]Range[/C][C]0.700000000000001[/C][C]Trim Var.[/C][C]0.0299999999999999[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.148444444444445[/C][C]Range[/C][C]1.20000000000000[/C][C]Trim Var.[/C][C]0.0857142857142855[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.530000000000001[/C][C]Range[/C][C]2.20000000000000[/C][C]Trim Var.[/C][C]0.295714285714286[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2360&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2360&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)0.103428571428571Range1Trim Var.0.07300395256917
V(Y[t],d=1,D=0)0.00915966386554621Range0.400000000000001Trim Var.0.00612903225806449
V(Y[t],d=2,D=0)0.0245365418894831Range0.600000000000001Trim Var.0.0155057471264367
V(Y[t],d=3,D=0)0.07875Range1.10000000000000Trim Var.0.0503448275862068
V(Y[t],d=0,D=1)0.0860688405797101Range0.9Trim Var.0.0299242424242423
V(Y[t],d=1,D=1)0.0192885375494071Range0.6Trim Var.0.0070175438596491
V(Y[t],d=2,D=1)0.0552380952380953Range1Trim Var.0.0240849673202615
V(Y[t],d=3,D=1)0.183476190476191Range1.5Trim Var.0.102647058823530
V(Y[t],d=0,D=2)0.0329545454545455Range0.500000000000002Trim Var.0.0262222222222223
V(Y[t],d=1,D=2)0.048909090909091Range0.700000000000001Trim Var.0.0299999999999999
V(Y[t],d=2,D=2)0.148444444444445Range1.20000000000000Trim Var.0.0857142857142855
V(Y[t],d=3,D=2)0.530000000000001Range2.20000000000000Trim Var.0.295714285714286


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')