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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 computationFri, 03 Dec 2010 13:11:33 +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/03/t1291381797s64545g83wsaix7.htm/, Retrieved Tue, 07 May 2024 11:43:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104734, Retrieved Tue, 07 May 2024 11:43:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact202

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] [Workshop 9] [2010-12-03 13:11:33] [ecfb965f5669057f3ac5b58964283289] [Current]
-   PD      [Variance Reduction Matrix] [vrm] [2010-12-21 14:30:55] [f9eaed74daea918f73b9f505c5b1f19e]
-   PD        [Variance Reduction Matrix] [VRM (olieprijzen)] [2010-12-25 18:11:07] [f9eaed74daea918f73b9f505c5b1f19e]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
63.152
60.106
72.616
73.159
68.848
77.056
62.246
60.777
64.513
58.353
56.511
44.554
71.414
65.719
80.997
69.826
65.386
75.589
65.520
59.003
63.961
59.716
57.520
42.886
69.805
64.656
80.353
71.321
76.577
81.580
71.127
63.478
48.152
69.236
57.038
43.621
69.551
72.009
72.140
81.519
73.310
80.406
70.697
59.328
68.281
70.041
51.244
46.538
61.443
62.256
73.117
74.155
65.191
77.889
68.688
59.983
65.470
65.089
54.795
47.123

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=104734&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=104734&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104734&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)94.96960234887Range38.694Trim Var.64.4408155345912
V(Y[t],d=1,D=0)122.791385049679Range45.716Trim Var.79.9791211407837
V(Y[t],d=2,D=0)338.679264396854Range74.835Trim Var.221.846499307692
V(Y[t],d=3,D=0)1114.08422415288Range127.612Trim Var.768.140444494902
V(Y[t],d=0,D=1)38.5695472127660Range35.938Trim Var.18.7514101097561
V(Y[t],d=1,D=1)84.0341966207216Range45.613Trim Var.31.4851001548781
V(Y[t],d=2,D=1)271.223177832367Range89.216Trim Var.103.085320810256
V(Y[t],d=3,D=1)939.60112409798Range145.709Trim Var.386.474603859649
V(Y[t],d=0,D=2)120.312555456349Range58.878Trim Var.58.7463923870967
V(Y[t],d=1,D=2)293.200438011765Range89.216Trim Var.150.892146139785
V(Y[t],d=2,D=2)948.9174497041Range137.272Trim Var.551.036930695402
V(Y[t],d=3,D=2)3292.65812238258Range273.639Trim Var.1839.58589482266

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 94.96960234887 & Range & 38.694 & Trim Var. & 64.4408155345912 \tabularnewline
V(Y[t],d=1,D=0) & 122.791385049679 & Range & 45.716 & Trim Var. & 79.9791211407837 \tabularnewline
V(Y[t],d=2,D=0) & 338.679264396854 & Range & 74.835 & Trim Var. & 221.846499307692 \tabularnewline
V(Y[t],d=3,D=0) & 1114.08422415288 & Range & 127.612 & Trim Var. & 768.140444494902 \tabularnewline
V(Y[t],d=0,D=1) & 38.5695472127660 & Range & 35.938 & Trim Var. & 18.7514101097561 \tabularnewline
V(Y[t],d=1,D=1) & 84.0341966207216 & Range & 45.613 & Trim Var. & 31.4851001548781 \tabularnewline
V(Y[t],d=2,D=1) & 271.223177832367 & Range & 89.216 & Trim Var. & 103.085320810256 \tabularnewline
V(Y[t],d=3,D=1) & 939.60112409798 & Range & 145.709 & Trim Var. & 386.474603859649 \tabularnewline
V(Y[t],d=0,D=2) & 120.312555456349 & Range & 58.878 & Trim Var. & 58.7463923870967 \tabularnewline
V(Y[t],d=1,D=2) & 293.200438011765 & Range & 89.216 & Trim Var. & 150.892146139785 \tabularnewline
V(Y[t],d=2,D=2) & 948.9174497041 & Range & 137.272 & Trim Var. & 551.036930695402 \tabularnewline
V(Y[t],d=3,D=2) & 3292.65812238258 & Range & 273.639 & Trim Var. & 1839.58589482266 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104734&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]94.96960234887[/C][C]Range[/C][C]38.694[/C][C]Trim Var.[/C][C]64.4408155345912[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]122.791385049679[/C][C]Range[/C][C]45.716[/C][C]Trim Var.[/C][C]79.9791211407837[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]338.679264396854[/C][C]Range[/C][C]74.835[/C][C]Trim Var.[/C][C]221.846499307692[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1114.08422415288[/C][C]Range[/C][C]127.612[/C][C]Trim Var.[/C][C]768.140444494902[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]38.5695472127660[/C][C]Range[/C][C]35.938[/C][C]Trim Var.[/C][C]18.7514101097561[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]84.0341966207216[/C][C]Range[/C][C]45.613[/C][C]Trim Var.[/C][C]31.4851001548781[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]271.223177832367[/C][C]Range[/C][C]89.216[/C][C]Trim Var.[/C][C]103.085320810256[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]939.60112409798[/C][C]Range[/C][C]145.709[/C][C]Trim Var.[/C][C]386.474603859649[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]120.312555456349[/C][C]Range[/C][C]58.878[/C][C]Trim Var.[/C][C]58.7463923870967[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]293.200438011765[/C][C]Range[/C][C]89.216[/C][C]Trim Var.[/C][C]150.892146139785[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]948.9174497041[/C][C]Range[/C][C]137.272[/C][C]Trim Var.[/C][C]551.036930695402[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3292.65812238258[/C][C]Range[/C][C]273.639[/C][C]Trim Var.[/C][C]1839.58589482266[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104734&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104734&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)94.96960234887Range38.694Trim Var.64.4408155345912
V(Y[t],d=1,D=0)122.791385049679Range45.716Trim Var.79.9791211407837
V(Y[t],d=2,D=0)338.679264396854Range74.835Trim Var.221.846499307692
V(Y[t],d=3,D=0)1114.08422415288Range127.612Trim Var.768.140444494902
V(Y[t],d=0,D=1)38.5695472127660Range35.938Trim Var.18.7514101097561
V(Y[t],d=1,D=1)84.0341966207216Range45.613Trim Var.31.4851001548781
V(Y[t],d=2,D=1)271.223177832367Range89.216Trim Var.103.085320810256
V(Y[t],d=3,D=1)939.60112409798Range145.709Trim Var.386.474603859649
V(Y[t],d=0,D=2)120.312555456349Range58.878Trim Var.58.7463923870967
V(Y[t],d=1,D=2)293.200438011765Range89.216Trim Var.150.892146139785
V(Y[t],d=2,D=2)948.9174497041Range137.272Trim Var.551.036930695402
V(Y[t],d=3,D=2)3292.65812238258Range273.639Trim Var.1839.58589482266


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')