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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, 10 Dec 2009 14:43:28 -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/10/t1260481582i54j8k8vfgog5uy.htm/, Retrieved Thu, 28 Mar 2024 22:31:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65817, Retrieved Thu, 28 Mar 2024 22:31:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [WS10: VRM van Yt] [2009-12-10 21:43:28] [b8ce264f75295a954feffaf60221d1b0] [Current]
-    D            [Variance Reduction Matrix] [Workshop 10] [2009-12-11 20:20:10] [b6394cb5c2dcec6d17418d3cdf42d699]
-    D            [Variance Reduction Matrix] [WS 10(6) - VRM Y(t)] [2009-12-11 21:13:03] [aba88da643e3763d32ff92bd8f92a385]
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Dataseries X:
15,89
16,93
20,28
22,52
23,51
22,59
23,51
24,76
26,08
25,29
23,38
25,29
28,42
31,85
30,1
25,45
24,95
26,84
27,52
27,94
25,23
26,53
27,21
28,53
30,35
31,21
32,86
33,2
35,73
34,53
36,54
40,1
40,56
46,14
42,85
38,22
40,18
42,19
47,56
47,26
44,03
49,83
53,35
58,9
59,64
56,99
53,2
53,24
57,85
55,69
55,64
62,52
64,4
64,65
67,71
67,21
59,37
53,26
52,42
55,03




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65817&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]0 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=65817&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65817&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Variance Reduction Matrix
V(Y[t],d=0,D=0)216.919899971751Range51.82Trim Var.172.799408245982
V(Y[t],d=1,D=0)8.63871934541204Range14.72Trim Var.5.09751777939042
V(Y[t],d=2,D=0)13.6068982758621Range17.9Trim Var.8.31724464555052
V(Y[t],d=3,D=0)32.7004464285714Range25.95Trim Var.21.1806592941176
V(Y[t],d=0,D=1)41.6737652482270Range24.1Trim Var.30.7251070847851
V(Y[t],d=1,D=1)16.6039042553191Range15.76Trim Var.11.2442652439024
V(Y[t],d=2,D=1)27.9344732367150Range23.42Trim Var.15.9192255769231
V(Y[t],d=3,D=1)64.9106799999999Range36.1299999999999Trim Var.35.8775502024291
V(Y[t],d=0,D=2)94.3776571428572Range37.72Trim Var.67.0337806451613
V(Y[t],d=1,D=2)47.0158845378151Range24.43Trim Var.34.1813498924731
V(Y[t],d=2,D=2)86.4257764705881Range42.3000000000000Trim Var.53.4861291954022
V(Y[t],d=3,D=2)203.469355871212Range62.7899999999999Trim Var.112.938733004926

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 216.919899971751 & Range & 51.82 & Trim Var. & 172.799408245982 \tabularnewline
V(Y[t],d=1,D=0) & 8.63871934541204 & Range & 14.72 & Trim Var. & 5.09751777939042 \tabularnewline
V(Y[t],d=2,D=0) & 13.6068982758621 & Range & 17.9 & Trim Var. & 8.31724464555052 \tabularnewline
V(Y[t],d=3,D=0) & 32.7004464285714 & Range & 25.95 & Trim Var. & 21.1806592941176 \tabularnewline
V(Y[t],d=0,D=1) & 41.6737652482270 & Range & 24.1 & Trim Var. & 30.7251070847851 \tabularnewline
V(Y[t],d=1,D=1) & 16.6039042553191 & Range & 15.76 & Trim Var. & 11.2442652439024 \tabularnewline
V(Y[t],d=2,D=1) & 27.9344732367150 & Range & 23.42 & Trim Var. & 15.9192255769231 \tabularnewline
V(Y[t],d=3,D=1) & 64.9106799999999 & Range & 36.1299999999999 & Trim Var. & 35.8775502024291 \tabularnewline
V(Y[t],d=0,D=2) & 94.3776571428572 & Range & 37.72 & Trim Var. & 67.0337806451613 \tabularnewline
V(Y[t],d=1,D=2) & 47.0158845378151 & Range & 24.43 & Trim Var. & 34.1813498924731 \tabularnewline
V(Y[t],d=2,D=2) & 86.4257764705881 & Range & 42.3000000000000 & Trim Var. & 53.4861291954022 \tabularnewline
V(Y[t],d=3,D=2) & 203.469355871212 & Range & 62.7899999999999 & Trim Var. & 112.938733004926 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65817&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]216.919899971751[/C][C]Range[/C][C]51.82[/C][C]Trim Var.[/C][C]172.799408245982[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]8.63871934541204[/C][C]Range[/C][C]14.72[/C][C]Trim Var.[/C][C]5.09751777939042[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]13.6068982758621[/C][C]Range[/C][C]17.9[/C][C]Trim Var.[/C][C]8.31724464555052[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]32.7004464285714[/C][C]Range[/C][C]25.95[/C][C]Trim Var.[/C][C]21.1806592941176[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]41.6737652482270[/C][C]Range[/C][C]24.1[/C][C]Trim Var.[/C][C]30.7251070847851[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]16.6039042553191[/C][C]Range[/C][C]15.76[/C][C]Trim Var.[/C][C]11.2442652439024[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]27.9344732367150[/C][C]Range[/C][C]23.42[/C][C]Trim Var.[/C][C]15.9192255769231[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]64.9106799999999[/C][C]Range[/C][C]36.1299999999999[/C][C]Trim Var.[/C][C]35.8775502024291[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]94.3776571428572[/C][C]Range[/C][C]37.72[/C][C]Trim Var.[/C][C]67.0337806451613[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]47.0158845378151[/C][C]Range[/C][C]24.43[/C][C]Trim Var.[/C][C]34.1813498924731[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]86.4257764705881[/C][C]Range[/C][C]42.3000000000000[/C][C]Trim Var.[/C][C]53.4861291954022[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]203.469355871212[/C][C]Range[/C][C]62.7899999999999[/C][C]Trim Var.[/C][C]112.938733004926[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65817&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65817&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)216.919899971751Range51.82Trim Var.172.799408245982
V(Y[t],d=1,D=0)8.63871934541204Range14.72Trim Var.5.09751777939042
V(Y[t],d=2,D=0)13.6068982758621Range17.9Trim Var.8.31724464555052
V(Y[t],d=3,D=0)32.7004464285714Range25.95Trim Var.21.1806592941176
V(Y[t],d=0,D=1)41.6737652482270Range24.1Trim Var.30.7251070847851
V(Y[t],d=1,D=1)16.6039042553191Range15.76Trim Var.11.2442652439024
V(Y[t],d=2,D=1)27.9344732367150Range23.42Trim Var.15.9192255769231
V(Y[t],d=3,D=1)64.9106799999999Range36.1299999999999Trim Var.35.8775502024291
V(Y[t],d=0,D=2)94.3776571428572Range37.72Trim Var.67.0337806451613
V(Y[t],d=1,D=2)47.0158845378151Range24.43Trim Var.34.1813498924731
V(Y[t],d=2,D=2)86.4257764705881Range42.3000000000000Trim Var.53.4861291954022
V(Y[t],d=3,D=2)203.469355871212Range62.7899999999999Trim Var.112.938733004926



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')