FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 15 Dec 2010 17:18:32 +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/15/t1292433409cvznbppnb5tmqsp.htm/, Retrieved Fri, 03 May 2024 04:22:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110598, Retrieved Fri, 03 May 2024 04:22:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104

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 link 7] [2010-12-15 17:18:32] [95216a33d813bfae7986b08ea3322626] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
33
24
24
31
25
28
24
25
16
17
11
12
39
19
14
15
7
12
12
14
9
8
4
7
3
5
0
-2
6
11
9
17
21
21
41
57
65
68
73
71
71
70
69
65
57
57
57
55
65
65
64
60
43
47
40
31
27
24
23
17

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110598&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]2 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=110598&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110598&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)533.799717514124Range75Trim Var.447.620195667365
V(Y[t],d=1,D=0)56.6493278784337Range47Trim Var.19.3717647058824
V(Y[t],d=2,D=0)112.856926799758Range73Trim Var.46.4204374057315
V(Y[t],d=3,D=0)351.010025062657Range135Trim Var.143.090196078431
V(Y[t],d=0,D=1)1053.78014184397Range111Trim Var.751.819512195122
V(Y[t],d=1,D=1)99.9740980573543Range55Trim Var.40.140243902439
V(Y[t],d=2,D=1)188.931884057971Range86Trim Var.69.2717948717949
V(Y[t],d=3,D=1)608.527272727273Range161Trim Var.237.782726045884
V(Y[t],d=0,D=2)3486.94285714286Range191Trim Var.2826.32258064516
V(Y[t],d=1,D=2)303.852100840336Range87Trim Var.149.87311827957
V(Y[t],d=2,D=2)451.344919786096Range96Trim Var.239.798850574713
V(Y[t],d=3,D=2)1411.40530303030Range191Trim Var.707.209359605911

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 533.799717514124 & Range & 75 & Trim Var. & 447.620195667365 \tabularnewline
V(Y[t],d=1,D=0) & 56.6493278784337 & Range & 47 & Trim Var. & 19.3717647058824 \tabularnewline
V(Y[t],d=2,D=0) & 112.856926799758 & Range & 73 & Trim Var. & 46.4204374057315 \tabularnewline
V(Y[t],d=3,D=0) & 351.010025062657 & Range & 135 & Trim Var. & 143.090196078431 \tabularnewline
V(Y[t],d=0,D=1) & 1053.78014184397 & Range & 111 & Trim Var. & 751.819512195122 \tabularnewline
V(Y[t],d=1,D=1) & 99.9740980573543 & Range & 55 & Trim Var. & 40.140243902439 \tabularnewline
V(Y[t],d=2,D=1) & 188.931884057971 & Range & 86 & Trim Var. & 69.2717948717949 \tabularnewline
V(Y[t],d=3,D=1) & 608.527272727273 & Range & 161 & Trim Var. & 237.782726045884 \tabularnewline
V(Y[t],d=0,D=2) & 3486.94285714286 & Range & 191 & Trim Var. & 2826.32258064516 \tabularnewline
V(Y[t],d=1,D=2) & 303.852100840336 & Range & 87 & Trim Var. & 149.87311827957 \tabularnewline
V(Y[t],d=2,D=2) & 451.344919786096 & Range & 96 & Trim Var. & 239.798850574713 \tabularnewline
V(Y[t],d=3,D=2) & 1411.40530303030 & Range & 191 & Trim Var. & 707.209359605911 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110598&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]533.799717514124[/C][C]Range[/C][C]75[/C][C]Trim Var.[/C][C]447.620195667365[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]56.6493278784337[/C][C]Range[/C][C]47[/C][C]Trim Var.[/C][C]19.3717647058824[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]112.856926799758[/C][C]Range[/C][C]73[/C][C]Trim Var.[/C][C]46.4204374057315[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]351.010025062657[/C][C]Range[/C][C]135[/C][C]Trim Var.[/C][C]143.090196078431[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1053.78014184397[/C][C]Range[/C][C]111[/C][C]Trim Var.[/C][C]751.819512195122[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]99.9740980573543[/C][C]Range[/C][C]55[/C][C]Trim Var.[/C][C]40.140243902439[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]188.931884057971[/C][C]Range[/C][C]86[/C][C]Trim Var.[/C][C]69.2717948717949[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]608.527272727273[/C][C]Range[/C][C]161[/C][C]Trim Var.[/C][C]237.782726045884[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]3486.94285714286[/C][C]Range[/C][C]191[/C][C]Trim Var.[/C][C]2826.32258064516[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]303.852100840336[/C][C]Range[/C][C]87[/C][C]Trim Var.[/C][C]149.87311827957[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]451.344919786096[/C][C]Range[/C][C]96[/C][C]Trim Var.[/C][C]239.798850574713[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1411.40530303030[/C][C]Range[/C][C]191[/C][C]Trim Var.[/C][C]707.209359605911[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110598&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110598&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)533.799717514124Range75Trim Var.447.620195667365
V(Y[t],d=1,D=0)56.6493278784337Range47Trim Var.19.3717647058824
V(Y[t],d=2,D=0)112.856926799758Range73Trim Var.46.4204374057315
V(Y[t],d=3,D=0)351.010025062657Range135Trim Var.143.090196078431
V(Y[t],d=0,D=1)1053.78014184397Range111Trim Var.751.819512195122
V(Y[t],d=1,D=1)99.9740980573543Range55Trim Var.40.140243902439
V(Y[t],d=2,D=1)188.931884057971Range86Trim Var.69.2717948717949
V(Y[t],d=3,D=1)608.527272727273Range161Trim Var.237.782726045884
V(Y[t],d=0,D=2)3486.94285714286Range191Trim Var.2826.32258064516
V(Y[t],d=1,D=2)303.852100840336Range87Trim Var.149.87311827957
V(Y[t],d=2,D=2)451.344919786096Range96Trim Var.239.798850574713
V(Y[t],d=3,D=2)1411.40530303030Range191Trim Var.707.209359605911


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')