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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 13:11:26 +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/t1291381792mv8bceb69q2gsq9.htm/, Retrieved Tue, 07 May 2024 21:58:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104732, Retrieved Tue, 07 May 2024 21:58:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact221

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] [VRM] [2010-12-03 13:11:26] [7b4029fa8534fd52dfa7d68267386cff] [Current]
-    D      [Variance Reduction Matrix] [] [2010-12-07 15:55:32] [ed939ef6f97e5f2afb6796311d9e7a5f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
62.027
56.493
65.566
62.653
53.470
59.600
42.542
42.018
44.038
44.988
43.309
26.843
69.770
64.886
79.354
63.025
54.003
55.926
45.629
40.361
43.039
44.570
43.269
25.563
68.707
60.223
74.283
61.232
61.531
65.305
51.699
44.599
35.221
55.066
45.335
28.702
69.517
69.240
71.525
77.740
62.107
65.450
51.493
43.067
49.172
54.483
38.158
27.898
58.648
56.000
62.381
59.849
48.345
55.376
45.400
38.389
44.098
48.290
41.267
31.238

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=104732&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=104732&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104732&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)168.802542029379Range53.791Trim Var.115.788526953529
V(Y[t],d=1,D=0)194.596182372881Range60.85Trim Var.93.0461827271408
V(Y[t],d=2,D=0)531.616982149123Range112.478Trim Var.256.837844408371
V(Y[t],d=3,D=0)1764.07288842857Range189.733Trim Var.957.132029198431
V(Y[t],d=0,D=1)53.7408451897163Range34.399Trim Var.28.8685705505226
V(Y[t],d=1,D=1)58.4621572220166Range35.198Trim Var.27.3452905219512
V(Y[t],d=2,D=1)180.935508899034Range66.239Trim Var.79.848258102564
V(Y[t],d=3,D=1)634.244140976767Range117.262Trim Var.295.842847940621
V(Y[t],d=0,D=2)138.458371646825Range56.168Trim Var.78.1802288538306
V(Y[t],d=1,D=2)192.447254294118Range60.387Trim Var.116.709226924731
V(Y[t],d=2,D=2)589.087117689839Range108.461Trim Var.356.574580102299
V(Y[t],d=3,D=2)2041.55011318939Range182.491Trim Var.1256.18496495320

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 168.802542029379 & Range & 53.791 & Trim Var. & 115.788526953529 \tabularnewline
V(Y[t],d=1,D=0) & 194.596182372881 & Range & 60.85 & Trim Var. & 93.0461827271408 \tabularnewline
V(Y[t],d=2,D=0) & 531.616982149123 & Range & 112.478 & Trim Var. & 256.837844408371 \tabularnewline
V(Y[t],d=3,D=0) & 1764.07288842857 & Range & 189.733 & Trim Var. & 957.132029198431 \tabularnewline
V(Y[t],d=0,D=1) & 53.7408451897163 & Range & 34.399 & Trim Var. & 28.8685705505226 \tabularnewline
V(Y[t],d=1,D=1) & 58.4621572220166 & Range & 35.198 & Trim Var. & 27.3452905219512 \tabularnewline
V(Y[t],d=2,D=1) & 180.935508899034 & Range & 66.239 & Trim Var. & 79.848258102564 \tabularnewline
V(Y[t],d=3,D=1) & 634.244140976767 & Range & 117.262 & Trim Var. & 295.842847940621 \tabularnewline
V(Y[t],d=0,D=2) & 138.458371646825 & Range & 56.168 & Trim Var. & 78.1802288538306 \tabularnewline
V(Y[t],d=1,D=2) & 192.447254294118 & Range & 60.387 & Trim Var. & 116.709226924731 \tabularnewline
V(Y[t],d=2,D=2) & 589.087117689839 & Range & 108.461 & Trim Var. & 356.574580102299 \tabularnewline
V(Y[t],d=3,D=2) & 2041.55011318939 & Range & 182.491 & Trim Var. & 1256.18496495320 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104732&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]168.802542029379[/C][C]Range[/C][C]53.791[/C][C]Trim Var.[/C][C]115.788526953529[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]194.596182372881[/C][C]Range[/C][C]60.85[/C][C]Trim Var.[/C][C]93.0461827271408[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]531.616982149123[/C][C]Range[/C][C]112.478[/C][C]Trim Var.[/C][C]256.837844408371[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1764.07288842857[/C][C]Range[/C][C]189.733[/C][C]Trim Var.[/C][C]957.132029198431[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]53.7408451897163[/C][C]Range[/C][C]34.399[/C][C]Trim Var.[/C][C]28.8685705505226[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]58.4621572220166[/C][C]Range[/C][C]35.198[/C][C]Trim Var.[/C][C]27.3452905219512[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]180.935508899034[/C][C]Range[/C][C]66.239[/C][C]Trim Var.[/C][C]79.848258102564[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]634.244140976767[/C][C]Range[/C][C]117.262[/C][C]Trim Var.[/C][C]295.842847940621[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]138.458371646825[/C][C]Range[/C][C]56.168[/C][C]Trim Var.[/C][C]78.1802288538306[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]192.447254294118[/C][C]Range[/C][C]60.387[/C][C]Trim Var.[/C][C]116.709226924731[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]589.087117689839[/C][C]Range[/C][C]108.461[/C][C]Trim Var.[/C][C]356.574580102299[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2041.55011318939[/C][C]Range[/C][C]182.491[/C][C]Trim Var.[/C][C]1256.18496495320[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104732&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104732&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)168.802542029379Range53.791Trim Var.115.788526953529
V(Y[t],d=1,D=0)194.596182372881Range60.85Trim Var.93.0461827271408
V(Y[t],d=2,D=0)531.616982149123Range112.478Trim Var.256.837844408371
V(Y[t],d=3,D=0)1764.07288842857Range189.733Trim Var.957.132029198431
V(Y[t],d=0,D=1)53.7408451897163Range34.399Trim Var.28.8685705505226
V(Y[t],d=1,D=1)58.4621572220166Range35.198Trim Var.27.3452905219512
V(Y[t],d=2,D=1)180.935508899034Range66.239Trim Var.79.848258102564
V(Y[t],d=3,D=1)634.244140976767Range117.262Trim Var.295.842847940621
V(Y[t],d=0,D=2)138.458371646825Range56.168Trim Var.78.1802288538306
V(Y[t],d=1,D=2)192.447254294118Range60.387Trim Var.116.709226924731
V(Y[t],d=2,D=2)589.087117689839Range108.461Trim Var.356.574580102299
V(Y[t],d=3,D=2)2041.55011318939Range182.491Trim Var.1256.18496495320


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')