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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 computationWed, 29 Dec 2010 19:50:08 +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/29/t1293652105x5nzwr6un92ugzj.htm/, Retrieved Fri, 03 May 2024 04:58:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=117070, Retrieved Fri, 03 May 2024 04:58:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164

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] [Workshop 6] [2010-12-14 12:39:28] [52986265a8945c3b72cdef4e8a412754]
-    D  [Variance Reduction Matrix] [variantie matrix] [2010-12-27 15:57:10] [f1aa04283d83c25edc8ae3bb0d0fb93e]
-   P       [Variance Reduction Matrix] [matrix] [2010-12-29 19:50:08] [b90a48a1f8ff99465eedb4ebbc8930ab] [Current]
- R PD        [Variance Reduction Matrix] [variance reductio...] [2011-12-21 13:07:34] [74be16979710d4c4e7c6647856088456]
-  M            [Variance Reduction Matrix] [variance reductio...] [2011-12-22 09:55:25] [f1aa04283d83c25edc8ae3bb0d0fb93e]
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Dataset

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

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=117070&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=117070&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117070&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)537.876836158192Range75Trim Var.451.843466107617
V(Y[t],d=1,D=0)55.3261250730567Range47Trim Var.19.0015082956259
V(Y[t],d=2,D=0)111.876890502117Range73Trim Var.45.3435143288084
V(Y[t],d=3,D=0)352.784461152882Range135Trim Var.145.000784313725
V(Y[t],d=0,D=1)1114.26551418440Range122Trim Var.800.562717770035
V(Y[t],d=1,D=1)99.9740980573543Range55Trim Var.40.140243902439
V(Y[t],d=2,D=1)189.227053140097Range86Trim Var.69.2301282051282
V(Y[t],d=3,D=1)607.8Range161Trim Var.236.985155195682
V(Y[t],d=0,D=2)3503.30396825397Range191Trim Var.2844.45060483871
V(Y[t],d=1,D=2)275.478991596639Range87Trim Var.138.432258064516
V(Y[t],d=2,D=2)449.711229946524Range96Trim Var.237.843678160920
V(Y[t],d=3,D=2)1405.31439393939Range191Trim Var.701.179802955665

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 537.876836158192 & Range & 75 & Trim Var. & 451.843466107617 \tabularnewline
V(Y[t],d=1,D=0) & 55.3261250730567 & Range & 47 & Trim Var. & 19.0015082956259 \tabularnewline
V(Y[t],d=2,D=0) & 111.876890502117 & Range & 73 & Trim Var. & 45.3435143288084 \tabularnewline
V(Y[t],d=3,D=0) & 352.784461152882 & Range & 135 & Trim Var. & 145.000784313725 \tabularnewline
V(Y[t],d=0,D=1) & 1114.26551418440 & Range & 122 & Trim Var. & 800.562717770035 \tabularnewline
V(Y[t],d=1,D=1) & 99.9740980573543 & Range & 55 & Trim Var. & 40.140243902439 \tabularnewline
V(Y[t],d=2,D=1) & 189.227053140097 & Range & 86 & Trim Var. & 69.2301282051282 \tabularnewline
V(Y[t],d=3,D=1) & 607.8 & Range & 161 & Trim Var. & 236.985155195682 \tabularnewline
V(Y[t],d=0,D=2) & 3503.30396825397 & Range & 191 & Trim Var. & 2844.45060483871 \tabularnewline
V(Y[t],d=1,D=2) & 275.478991596639 & Range & 87 & Trim Var. & 138.432258064516 \tabularnewline
V(Y[t],d=2,D=2) & 449.711229946524 & Range & 96 & Trim Var. & 237.843678160920 \tabularnewline
V(Y[t],d=3,D=2) & 1405.31439393939 & Range & 191 & Trim Var. & 701.179802955665 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=117070&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]537.876836158192[/C][C]Range[/C][C]75[/C][C]Trim Var.[/C][C]451.843466107617[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]55.3261250730567[/C][C]Range[/C][C]47[/C][C]Trim Var.[/C][C]19.0015082956259[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]111.876890502117[/C][C]Range[/C][C]73[/C][C]Trim Var.[/C][C]45.3435143288084[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]352.784461152882[/C][C]Range[/C][C]135[/C][C]Trim Var.[/C][C]145.000784313725[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1114.26551418440[/C][C]Range[/C][C]122[/C][C]Trim Var.[/C][C]800.562717770035[/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]189.227053140097[/C][C]Range[/C][C]86[/C][C]Trim Var.[/C][C]69.2301282051282[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]607.8[/C][C]Range[/C][C]161[/C][C]Trim Var.[/C][C]236.985155195682[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]3503.30396825397[/C][C]Range[/C][C]191[/C][C]Trim Var.[/C][C]2844.45060483871[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]275.478991596639[/C][C]Range[/C][C]87[/C][C]Trim Var.[/C][C]138.432258064516[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]449.711229946524[/C][C]Range[/C][C]96[/C][C]Trim Var.[/C][C]237.843678160920[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1405.31439393939[/C][C]Range[/C][C]191[/C][C]Trim Var.[/C][C]701.179802955665[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=117070&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=117070&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)537.876836158192Range75Trim Var.451.843466107617
V(Y[t],d=1,D=0)55.3261250730567Range47Trim Var.19.0015082956259
V(Y[t],d=2,D=0)111.876890502117Range73Trim Var.45.3435143288084
V(Y[t],d=3,D=0)352.784461152882Range135Trim Var.145.000784313725
V(Y[t],d=0,D=1)1114.26551418440Range122Trim Var.800.562717770035
V(Y[t],d=1,D=1)99.9740980573543Range55Trim Var.40.140243902439
V(Y[t],d=2,D=1)189.227053140097Range86Trim Var.69.2301282051282
V(Y[t],d=3,D=1)607.8Range161Trim Var.236.985155195682
V(Y[t],d=0,D=2)3503.30396825397Range191Trim Var.2844.45060483871
V(Y[t],d=1,D=2)275.478991596639Range87Trim Var.138.432258064516
V(Y[t],d=2,D=2)449.711229946524Range96Trim Var.237.843678160920
V(Y[t],d=3,D=2)1405.31439393939Range191Trim Var.701.179802955665


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 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')