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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 computationSun, 14 Dec 2008 13:13:54 -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/2008/Dec/14/t12292856624yb3qlglmwblgzw.htm/, Retrieved Mon, 06 May 2024 11:35:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33554, Retrieved Mon, 06 May 2024 11:35:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsgdm
Estimated Impact194

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] [Werkloosheid bij 50+] [2008-12-14 20:13:54] [99f79d508deef838ee89a56fb32f134e] [Current]
-   PD    [Variance Reduction Matrix] [Aantal diploma's] [2009-03-29 15:53:01] [11ac052cc87d77b9933b02bea117068e]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88900
87280
85519
83647
81616
80100
94027
102327
104296
101593
94816
93535
93618
92330
90751
88576
86102
85494
103432
108870
109713
106960
103195
102348
102158
100431
97649
95611
93035
93579
111777
116065
116609
112934
107660
107965
107772
106201
102288
99217
96511
96456
113021
117836
118492
113922
109317
107496
105524
103824
101833
99436
96915
96072
111941
116008
117557
113445
108762
106661
102824
101912
99005
97894
96256
95606
108948
111223
113142
106078
100992
97413

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33554&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33554&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33554&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)89028306.9100156Range38392Trim Var.61018413.2100694
V(Y[t],d=1,D=0)30837205.7187123Range25262Trim Var.13073293.6082949
V(Y[t],d=2,D=0)41889532.4490683Range32456Trim Var.17126816.5798519
V(Y[t],d=3,D=0)103574985.398124Range48244Trim Var.41130293.947541
V(Y[t],d=0,D=1)20622618.6132768Range18653Trim Var.14265618.8329839
V(Y[t],d=1,D=1)1578636.13968440Range6963Trim Var.744538.702467344
V(Y[t],d=2,D=1)3130899.67574108Range9976Trim Var.1690980.20060332
V(Y[t],d=3,D=1)9034171.679198Range18585Trim Var.4358768.05019608
V(Y[t],d=0,D=2)9379676.16843972Range12235Trim Var.6036828.42276423
V(Y[t],d=1,D=2)2590129.96114709Range7574Trim Var.1432532.69024390
V(Y[t],d=2,D=2)5532870.47391304Range10919Trim Var.3052898.27628205
V(Y[t],d=3,D=2)16575894.7797980Range17065Trim Var.9934145.08097166

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 89028306.9100156 & Range & 38392 & Trim Var. & 61018413.2100694 \tabularnewline
V(Y[t],d=1,D=0) & 30837205.7187123 & Range & 25262 & Trim Var. & 13073293.6082949 \tabularnewline
V(Y[t],d=2,D=0) & 41889532.4490683 & Range & 32456 & Trim Var. & 17126816.5798519 \tabularnewline
V(Y[t],d=3,D=0) & 103574985.398124 & Range & 48244 & Trim Var. & 41130293.947541 \tabularnewline
V(Y[t],d=0,D=1) & 20622618.6132768 & Range & 18653 & Trim Var. & 14265618.8329839 \tabularnewline
V(Y[t],d=1,D=1) & 1578636.13968440 & Range & 6963 & Trim Var. & 744538.702467344 \tabularnewline
V(Y[t],d=2,D=1) & 3130899.67574108 & Range & 9976 & Trim Var. & 1690980.20060332 \tabularnewline
V(Y[t],d=3,D=1) & 9034171.679198 & Range & 18585 & Trim Var. & 4358768.05019608 \tabularnewline
V(Y[t],d=0,D=2) & 9379676.16843972 & Range & 12235 & Trim Var. & 6036828.42276423 \tabularnewline
V(Y[t],d=1,D=2) & 2590129.96114709 & Range & 7574 & Trim Var. & 1432532.69024390 \tabularnewline
V(Y[t],d=2,D=2) & 5532870.47391304 & Range & 10919 & Trim Var. & 3052898.27628205 \tabularnewline
V(Y[t],d=3,D=2) & 16575894.7797980 & Range & 17065 & Trim Var. & 9934145.08097166 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33554&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]89028306.9100156[/C][C]Range[/C][C]38392[/C][C]Trim Var.[/C][C]61018413.2100694[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]30837205.7187123[/C][C]Range[/C][C]25262[/C][C]Trim Var.[/C][C]13073293.6082949[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]41889532.4490683[/C][C]Range[/C][C]32456[/C][C]Trim Var.[/C][C]17126816.5798519[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]103574985.398124[/C][C]Range[/C][C]48244[/C][C]Trim Var.[/C][C]41130293.947541[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]20622618.6132768[/C][C]Range[/C][C]18653[/C][C]Trim Var.[/C][C]14265618.8329839[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1578636.13968440[/C][C]Range[/C][C]6963[/C][C]Trim Var.[/C][C]744538.702467344[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]3130899.67574108[/C][C]Range[/C][C]9976[/C][C]Trim Var.[/C][C]1690980.20060332[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]9034171.679198[/C][C]Range[/C][C]18585[/C][C]Trim Var.[/C][C]4358768.05019608[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]9379676.16843972[/C][C]Range[/C][C]12235[/C][C]Trim Var.[/C][C]6036828.42276423[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]2590129.96114709[/C][C]Range[/C][C]7574[/C][C]Trim Var.[/C][C]1432532.69024390[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]5532870.47391304[/C][C]Range[/C][C]10919[/C][C]Trim Var.[/C][C]3052898.27628205[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]16575894.7797980[/C][C]Range[/C][C]17065[/C][C]Trim Var.[/C][C]9934145.08097166[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33554&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33554&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)89028306.9100156Range38392Trim Var.61018413.2100694
V(Y[t],d=1,D=0)30837205.7187123Range25262Trim Var.13073293.6082949
V(Y[t],d=2,D=0)41889532.4490683Range32456Trim Var.17126816.5798519
V(Y[t],d=3,D=0)103574985.398124Range48244Trim Var.41130293.947541
V(Y[t],d=0,D=1)20622618.6132768Range18653Trim Var.14265618.8329839
V(Y[t],d=1,D=1)1578636.13968440Range6963Trim Var.744538.702467344
V(Y[t],d=2,D=1)3130899.67574108Range9976Trim Var.1690980.20060332
V(Y[t],d=3,D=1)9034171.679198Range18585Trim Var.4358768.05019608
V(Y[t],d=0,D=2)9379676.16843972Range12235Trim Var.6036828.42276423
V(Y[t],d=1,D=2)2590129.96114709Range7574Trim Var.1432532.69024390
V(Y[t],d=2,D=2)5532870.47391304Range10919Trim Var.3052898.27628205
V(Y[t],d=3,D=2)16575894.7797980Range17065Trim Var.9934145.08097166


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')