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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 computationWed, 10 Dec 2008 10:16:01 -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/10/t1228929421rl7a85qyjevxg3o.htm/, Retrieved Sun, 19 May 2024 07:23:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32037, Retrieved Sun, 19 May 2024 07:23:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact192

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 Voeding] [2008-12-10 17:16:01] [1fa440a634ec541bd583650ead0404df] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
100
100
100,1
100
100
99,8
100
99,9
99,2
98,7
98,7
98,9
99,2
99,8
100,5
100,1
100,5
98,4
98,6
99
99,1
98,9
98,5
96,9
96,8
97
97
96,9
97,1
97,2
97,9
98,9
99,2
99,5
99,3
99,9
100
100,3
100,5
100,7
100,9
100,8
100,9
101
100,3
100,1
99,8
99,9
99,9
100,2
99,7
100,4
100,9
101,3
101,4
101,3
100,9
100,9
100,9
101,1
101,1
101,3
101,8
102,9
103,2
103,3
104,5
105
104,9
104,9
105,4
106
105,7
105,9
106,2
106,4
106,9
107,3
107,9
109,2
110,2
110,2
110,5
110,6
110,8
111,3
111,1
111,2
111,2
111,1
111,5
112,1
111,4

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32037&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32037&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)18.9533196064974Range15.3Trim Var.15.1519551820728
V(Y[t],d=1,D=0)0.23633239831697Range3.39999999999999Trim Var.0.082180429033206
V(Y[t],d=2,D=0)0.371919493549927Range4.79999999999998Trim Var.0.134614197530864
V(Y[t],d=3,D=0)1.05279365079365Range8.1Trim Var.0.399030864197531
V(Y[t],d=0,D=1)5.61610358325805Range8.9Trim Var.3.91547535211267
V(Y[t],d=1,D=1)0.453308641975308Range4.09999999999999Trim Var.0.155795031055901
V(Y[t],d=2,D=1)0.656075949367088Range4.70000000000002Trim Var.0.262585921325053
V(Y[t],d=3,D=1)1.87293086660175Range8.29999999999998Trim Var.0.813159420289854
V(Y[t],d=0,D=2)7.99869358178054Range11.5000000000000Trim Var.4.79616393442623
V(Y[t],d=1,D=2)1.33017050298380Range6.89999999999998Trim Var.0.484464480874319
V(Y[t],d=2,D=2)1.94544995610185Range8.29999999999998Trim Var.0.851624293785313
V(Y[t],d=3,D=2)5.65825870646768Range14.2000000000000Trim Var.2.49986557568673

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 18.9533196064974 & Range & 15.3 & Trim Var. & 15.1519551820728 \tabularnewline
V(Y[t],d=1,D=0) & 0.23633239831697 & Range & 3.39999999999999 & Trim Var. & 0.082180429033206 \tabularnewline
V(Y[t],d=2,D=0) & 0.371919493549927 & Range & 4.79999999999998 & Trim Var. & 0.134614197530864 \tabularnewline
V(Y[t],d=3,D=0) & 1.05279365079365 & Range & 8.1 & Trim Var. & 0.399030864197531 \tabularnewline
V(Y[t],d=0,D=1) & 5.61610358325805 & Range & 8.9 & Trim Var. & 3.91547535211267 \tabularnewline
V(Y[t],d=1,D=1) & 0.453308641975308 & Range & 4.09999999999999 & Trim Var. & 0.155795031055901 \tabularnewline
V(Y[t],d=2,D=1) & 0.656075949367088 & Range & 4.70000000000002 & Trim Var. & 0.262585921325053 \tabularnewline
V(Y[t],d=3,D=1) & 1.87293086660175 & Range & 8.29999999999998 & Trim Var. & 0.813159420289854 \tabularnewline
V(Y[t],d=0,D=2) & 7.99869358178054 & Range & 11.5000000000000 & Trim Var. & 4.79616393442623 \tabularnewline
V(Y[t],d=1,D=2) & 1.33017050298380 & Range & 6.89999999999998 & Trim Var. & 0.484464480874319 \tabularnewline
V(Y[t],d=2,D=2) & 1.94544995610185 & Range & 8.29999999999998 & Trim Var. & 0.851624293785313 \tabularnewline
V(Y[t],d=3,D=2) & 5.65825870646768 & Range & 14.2000000000000 & Trim Var. & 2.49986557568673 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32037&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]18.9533196064974[/C][C]Range[/C][C]15.3[/C][C]Trim Var.[/C][C]15.1519551820728[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.23633239831697[/C][C]Range[/C][C]3.39999999999999[/C][C]Trim Var.[/C][C]0.082180429033206[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.371919493549927[/C][C]Range[/C][C]4.79999999999998[/C][C]Trim Var.[/C][C]0.134614197530864[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1.05279365079365[/C][C]Range[/C][C]8.1[/C][C]Trim Var.[/C][C]0.399030864197531[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]5.61610358325805[/C][C]Range[/C][C]8.9[/C][C]Trim Var.[/C][C]3.91547535211267[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.453308641975308[/C][C]Range[/C][C]4.09999999999999[/C][C]Trim Var.[/C][C]0.155795031055901[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.656075949367088[/C][C]Range[/C][C]4.70000000000002[/C][C]Trim Var.[/C][C]0.262585921325053[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1.87293086660175[/C][C]Range[/C][C]8.29999999999998[/C][C]Trim Var.[/C][C]0.813159420289854[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]7.99869358178054[/C][C]Range[/C][C]11.5000000000000[/C][C]Trim Var.[/C][C]4.79616393442623[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]1.33017050298380[/C][C]Range[/C][C]6.89999999999998[/C][C]Trim Var.[/C][C]0.484464480874319[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1.94544995610185[/C][C]Range[/C][C]8.29999999999998[/C][C]Trim Var.[/C][C]0.851624293785313[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]5.65825870646768[/C][C]Range[/C][C]14.2000000000000[/C][C]Trim Var.[/C][C]2.49986557568673[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32037&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)18.9533196064974Range15.3Trim Var.15.1519551820728
V(Y[t],d=1,D=0)0.23633239831697Range3.39999999999999Trim Var.0.082180429033206
V(Y[t],d=2,D=0)0.371919493549927Range4.79999999999998Trim Var.0.134614197530864
V(Y[t],d=3,D=0)1.05279365079365Range8.1Trim Var.0.399030864197531
V(Y[t],d=0,D=1)5.61610358325805Range8.9Trim Var.3.91547535211267
V(Y[t],d=1,D=1)0.453308641975308Range4.09999999999999Trim Var.0.155795031055901
V(Y[t],d=2,D=1)0.656075949367088Range4.70000000000002Trim Var.0.262585921325053
V(Y[t],d=3,D=1)1.87293086660175Range8.29999999999998Trim Var.0.813159420289854
V(Y[t],d=0,D=2)7.99869358178054Range11.5000000000000Trim Var.4.79616393442623
V(Y[t],d=1,D=2)1.33017050298380Range6.89999999999998Trim Var.0.484464480874319
V(Y[t],d=2,D=2)1.94544995610185Range8.29999999999998Trim Var.0.851624293785313
V(Y[t],d=3,D=2)5.65825870646768Range14.2000000000000Trim Var.2.49986557568673


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')