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Author*The author of this computation has been verified*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationSat, 26 Dec 2009 14:34:50 -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/2009/Dec/26/t1261864648bbt7sxpqq25h0xe.htm/, Retrieved Thu, 28 Mar 2024 11:08:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70792, Retrieved Thu, 28 Mar 2024 11:08:35 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
- RMPD  [Blocked Bootstrap Plot - Central Tendency] [Colombia Coffee] [2008-01-07 10:26:26] [74be16979710d4c4e7c6647856088456]
- R  D    [Blocked Bootstrap Plot - Central Tendency] [Blocked Bootstrap...] [2008-12-17 18:55:16] [7458e879e85b911182071700fff19fbd]
- RMPD        [Variance Reduction Matrix] [VRM Matrix van de...] [2009-12-26 21:34:50] [42f63f8757d5a8a58bf15eeb4f7c58d6] [Current]
-    D          [Variance Reduction Matrix] [VRM Matrix van de...] [2009-12-26 21:58:56] [bfd0a85b30d211d7fa5c129592d7c31d]
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Dataseries X:
40.22
44.23
45.85
53.38
53.26
51.8
55.3
57.81
63.96
63.77
59.15
56.12
57.42
63.52
61.71
63.01
68.18
72.03
69.75
74.41
74.33
64.24
60.03
59.44
62.5
55.04
58.34
61.92
67.65
67.68
70.3
75.26
71.44
76.36
81.71
92.6
90.6
92.23
94.09
102.79
109.65
124.05
132.69
135.81
116.07
101.42
75.73
55.48
43.8
45.29
44.01
47.48
51.07
57.84
69.04
65.61
72.87
68.41
73.25
77.43




Summary of computational 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 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70792&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70792&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70792&T=0

As an alternative you can also use a 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'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)463.520581101695Range95.59Trim Var.260.463096610762
V(Y[t],d=1,D=0)56.4302512565751Range40.09Trim Var.25.0410745283019
V(Y[t],d=2,D=0)52.1397228372656Range36.03Trim Var.32.5649687405732
V(Y[t],d=3,D=0)141.589339160401Range50.3600000000001Trim Var.96.9096506666668
V(Y[t],d=0,D=1)1188.34030598404Range132.59Trim Var.772.114980255517
V(Y[t],d=1,D=1)142.955548843663Range61.67Trim Var.50.0465169512195
V(Y[t],d=2,D=1)123.994998454106Range50.3600000000001Trim Var.71.7808643589744
V(Y[t],d=3,D=1)363.075821010101Range93.02Trim Var.204.511917813765
V(Y[t],d=0,D=2)3464.05993992063Range192.59Trim Var.2716.19763830645
V(Y[t],d=1,D=2)511.119742352941Range104.19Trim Var.237.811644731183
V(Y[t],d=2,D=2)334.79405597148Range76.83Trim Var.209.802368850575
V(Y[t],d=3,D=2)944.661675757577Range109.67Trim Var.666.939110591133

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 463.520581101695 & Range & 95.59 & Trim Var. & 260.463096610762 \tabularnewline
V(Y[t],d=1,D=0) & 56.4302512565751 & Range & 40.09 & Trim Var. & 25.0410745283019 \tabularnewline
V(Y[t],d=2,D=0) & 52.1397228372656 & Range & 36.03 & Trim Var. & 32.5649687405732 \tabularnewline
V(Y[t],d=3,D=0) & 141.589339160401 & Range & 50.3600000000001 & Trim Var. & 96.9096506666668 \tabularnewline
V(Y[t],d=0,D=1) & 1188.34030598404 & Range & 132.59 & Trim Var. & 772.114980255517 \tabularnewline
V(Y[t],d=1,D=1) & 142.955548843663 & Range & 61.67 & Trim Var. & 50.0465169512195 \tabularnewline
V(Y[t],d=2,D=1) & 123.994998454106 & Range & 50.3600000000001 & Trim Var. & 71.7808643589744 \tabularnewline
V(Y[t],d=3,D=1) & 363.075821010101 & Range & 93.02 & Trim Var. & 204.511917813765 \tabularnewline
V(Y[t],d=0,D=2) & 3464.05993992063 & Range & 192.59 & Trim Var. & 2716.19763830645 \tabularnewline
V(Y[t],d=1,D=2) & 511.119742352941 & Range & 104.19 & Trim Var. & 237.811644731183 \tabularnewline
V(Y[t],d=2,D=2) & 334.79405597148 & Range & 76.83 & Trim Var. & 209.802368850575 \tabularnewline
V(Y[t],d=3,D=2) & 944.661675757577 & Range & 109.67 & Trim Var. & 666.939110591133 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70792&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]463.520581101695[/C][C]Range[/C][C]95.59[/C][C]Trim Var.[/C][C]260.463096610762[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]56.4302512565751[/C][C]Range[/C][C]40.09[/C][C]Trim Var.[/C][C]25.0410745283019[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]52.1397228372656[/C][C]Range[/C][C]36.03[/C][C]Trim Var.[/C][C]32.5649687405732[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]141.589339160401[/C][C]Range[/C][C]50.3600000000001[/C][C]Trim Var.[/C][C]96.9096506666668[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1188.34030598404[/C][C]Range[/C][C]132.59[/C][C]Trim Var.[/C][C]772.114980255517[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]142.955548843663[/C][C]Range[/C][C]61.67[/C][C]Trim Var.[/C][C]50.0465169512195[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]123.994998454106[/C][C]Range[/C][C]50.3600000000001[/C][C]Trim Var.[/C][C]71.7808643589744[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]363.075821010101[/C][C]Range[/C][C]93.02[/C][C]Trim Var.[/C][C]204.511917813765[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]3464.05993992063[/C][C]Range[/C][C]192.59[/C][C]Trim Var.[/C][C]2716.19763830645[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]511.119742352941[/C][C]Range[/C][C]104.19[/C][C]Trim Var.[/C][C]237.811644731183[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]334.79405597148[/C][C]Range[/C][C]76.83[/C][C]Trim Var.[/C][C]209.802368850575[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]944.661675757577[/C][C]Range[/C][C]109.67[/C][C]Trim Var.[/C][C]666.939110591133[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70792&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70792&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)463.520581101695Range95.59Trim Var.260.463096610762
V(Y[t],d=1,D=0)56.4302512565751Range40.09Trim Var.25.0410745283019
V(Y[t],d=2,D=0)52.1397228372656Range36.03Trim Var.32.5649687405732
V(Y[t],d=3,D=0)141.589339160401Range50.3600000000001Trim Var.96.9096506666668
V(Y[t],d=0,D=1)1188.34030598404Range132.59Trim Var.772.114980255517
V(Y[t],d=1,D=1)142.955548843663Range61.67Trim Var.50.0465169512195
V(Y[t],d=2,D=1)123.994998454106Range50.3600000000001Trim Var.71.7808643589744
V(Y[t],d=3,D=1)363.075821010101Range93.02Trim Var.204.511917813765
V(Y[t],d=0,D=2)3464.05993992063Range192.59Trim Var.2716.19763830645
V(Y[t],d=1,D=2)511.119742352941Range104.19Trim Var.237.811644731183
V(Y[t],d=2,D=2)334.79405597148Range76.83Trim Var.209.802368850575
V(Y[t],d=3,D=2)944.661675757577Range109.67Trim Var.666.939110591133



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')