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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 computationThu, 16 Dec 2010 14:44:42 +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/16/t1292511030w3qk5s20k9oe8mi.htm/, Retrieved Fri, 03 May 2024 07:14:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110982, Retrieved Fri, 03 May 2024 07:14:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Variance Reduction Matrix] [] [2010-12-14 13:48:11] [897115520fe7b6114489bc0eeed64548]
-         [Variance Reduction Matrix] [] [2010-12-15 11:14:29] [bfba28641a1925a39268a5d6ad3b00f2]
-    D        [Variance Reduction Matrix] [] [2010-12-16 14:44:42] [d1991ab4912b5ede0ff54c26afa5d84c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2260
2498
2695
2799
2947
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2539
2069
2063
2565
2442
2194
2798
2074
2628
2289
2154
2466
2137
1846
2072
1786
1754
2226
1947
1823
2521
2072
2368
2164
2095
1834
1856
2017

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110982&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110982&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110982&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Variance Reduction Matrix
V(Y[t],d=0,D=0)117757.620765027Range1686Trim Var.68710.0297532656
V(Y[t],d=1,D=0)129283.065254237Range1460Trim Var.89454.996855346
V(Y[t],d=2,D=0)402808.974284044Range2665Trim Var.268528.186502177
V(Y[t],d=3,D=0)1389113.84875983Range4793Trim Var.918184.505279035
V(Y[t],d=0,D=1)147701.034013605Range2269Trim Var.62756.6633444075
V(Y[t],d=1,D=1)235515.797429078Range1841Trim Var.157575.319976771
V(Y[t],d=2,D=1)715221.345050879Range3119Trim Var.488021.07195122
V(Y[t],d=3,D=1)2463775.96570048Range5902Trim Var.1728744.54102564
V(Y[t],d=0,D=2)475434.033033033Range3572Trim Var.232194.03030303
V(Y[t],d=1,D=2)735440.307142857Range3411Trim Var.510889.221774194
V(Y[t],d=2,D=2)2194509.61008403Range5902Trim Var.1532175.44731183
V(Y[t],d=3,D=2)7390323.13814617Range9987Trim Var.5321691.59655172

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 117757.620765027 & Range & 1686 & Trim Var. & 68710.0297532656 \tabularnewline
V(Y[t],d=1,D=0) & 129283.065254237 & Range & 1460 & Trim Var. & 89454.996855346 \tabularnewline
V(Y[t],d=2,D=0) & 402808.974284044 & Range & 2665 & Trim Var. & 268528.186502177 \tabularnewline
V(Y[t],d=3,D=0) & 1389113.84875983 & Range & 4793 & Trim Var. & 918184.505279035 \tabularnewline
V(Y[t],d=0,D=1) & 147701.034013605 & Range & 2269 & Trim Var. & 62756.6633444075 \tabularnewline
V(Y[t],d=1,D=1) & 235515.797429078 & Range & 1841 & Trim Var. & 157575.319976771 \tabularnewline
V(Y[t],d=2,D=1) & 715221.345050879 & Range & 3119 & Trim Var. & 488021.07195122 \tabularnewline
V(Y[t],d=3,D=1) & 2463775.96570048 & Range & 5902 & Trim Var. & 1728744.54102564 \tabularnewline
V(Y[t],d=0,D=2) & 475434.033033033 & Range & 3572 & Trim Var. & 232194.03030303 \tabularnewline
V(Y[t],d=1,D=2) & 735440.307142857 & Range & 3411 & Trim Var. & 510889.221774194 \tabularnewline
V(Y[t],d=2,D=2) & 2194509.61008403 & Range & 5902 & Trim Var. & 1532175.44731183 \tabularnewline
V(Y[t],d=3,D=2) & 7390323.13814617 & Range & 9987 & Trim Var. & 5321691.59655172 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110982&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]117757.620765027[/C][C]Range[/C][C]1686[/C][C]Trim Var.[/C][C]68710.0297532656[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]129283.065254237[/C][C]Range[/C][C]1460[/C][C]Trim Var.[/C][C]89454.996855346[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]402808.974284044[/C][C]Range[/C][C]2665[/C][C]Trim Var.[/C][C]268528.186502177[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1389113.84875983[/C][C]Range[/C][C]4793[/C][C]Trim Var.[/C][C]918184.505279035[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]147701.034013605[/C][C]Range[/C][C]2269[/C][C]Trim Var.[/C][C]62756.6633444075[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]235515.797429078[/C][C]Range[/C][C]1841[/C][C]Trim Var.[/C][C]157575.319976771[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]715221.345050879[/C][C]Range[/C][C]3119[/C][C]Trim Var.[/C][C]488021.07195122[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2463775.96570048[/C][C]Range[/C][C]5902[/C][C]Trim Var.[/C][C]1728744.54102564[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]475434.033033033[/C][C]Range[/C][C]3572[/C][C]Trim Var.[/C][C]232194.03030303[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]735440.307142857[/C][C]Range[/C][C]3411[/C][C]Trim Var.[/C][C]510889.221774194[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2194509.61008403[/C][C]Range[/C][C]5902[/C][C]Trim Var.[/C][C]1532175.44731183[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]7390323.13814617[/C][C]Range[/C][C]9987[/C][C]Trim Var.[/C][C]5321691.59655172[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110982&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110982&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)117757.620765027Range1686Trim Var.68710.0297532656
V(Y[t],d=1,D=0)129283.065254237Range1460Trim Var.89454.996855346
V(Y[t],d=2,D=0)402808.974284044Range2665Trim Var.268528.186502177
V(Y[t],d=3,D=0)1389113.84875983Range4793Trim Var.918184.505279035
V(Y[t],d=0,D=1)147701.034013605Range2269Trim Var.62756.6633444075
V(Y[t],d=1,D=1)235515.797429078Range1841Trim Var.157575.319976771
V(Y[t],d=2,D=1)715221.345050879Range3119Trim Var.488021.07195122
V(Y[t],d=3,D=1)2463775.96570048Range5902Trim Var.1728744.54102564
V(Y[t],d=0,D=2)475434.033033033Range3572Trim Var.232194.03030303
V(Y[t],d=1,D=2)735440.307142857Range3411Trim Var.510889.221774194
V(Y[t],d=2,D=2)2194509.61008403Range5902Trim Var.1532175.44731183
V(Y[t],d=3,D=2)7390323.13814617Range9987Trim Var.5321691.59655172


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')