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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 computationMon, 08 Dec 2008 15:57:37 -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/08/t1228777180odiv4dcgo6egi7h.htm/, Retrieved Thu, 16 May 2024 08:41:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31109, Retrieved Thu, 16 May 2024 08:41:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [(Partial) Autocorrelation Function] [] [2008-12-01 19:22:35] [2a0ad3a9bcadca2da0acb91636601c6c]
-   P   [(Partial) Autocorrelation Function] [] [2008-12-01 19:27:13] [2a0ad3a9bcadca2da0acb91636601c6c]
- RMPD    [Standard Deviation-Mean Plot] [SD Mean Bouwprodu...] [2008-12-08 22:32:48] [aa5573c1db401b164e448aef050955a1]
F           [Standard Deviation-Mean Plot] [SD Mean Bouwprodu...] [2008-12-08 22:45:41] [aa5573c1db401b164e448aef050955a1]
F RM            [Variance Reduction Matrix] [VRM Bouwproductie] [2008-12-08 22:57:37] [8a1195ff8db4df756ce44b463a631c76] [Current]
F RM              [(Partial) Autocorrelation Function] [PACF bouwproducti...] [2008-12-08 23:26:01] [aa5573c1db401b164e448aef050955a1]
F                   [(Partial) Autocorrelation Function] [PACF bouwproducti...] [2008-12-08 23:39:37] [aa5573c1db401b164e448aef050955a1]
F RM                [Spectral Analysis] [Spectrum analyse ...] [2008-12-08 23:49:25] [aa5573c1db401b164e448aef050955a1]
F                     [Spectral Analysis] [Spectrum analyse ...] [2008-12-08 23:53:38] [aa5573c1db401b164e448aef050955a1]
Feedback Forum
2008-12-14 13:13:33 [Jeroen Michel] [reply] 
Hier maakt de student gebruik van een correcte module. De output is correct en hier valt weinig aan toe te voegen.
2008-12-14 13:56:25 [2ae5313507f69e6db9a3a7e1ca4e6147] [reply] 
Je verklaart hier dat een minimale spreiding bereikt moet worden. Hier wil ik ff iets aan toevoegen. het gaat hier om de variantie. En de variantie is de spreiding NA het differentieren. De variantie is het deel dat we nog moeten verklaren. Zoveel te kleiner dit deel is, zoveel te beter dus.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
82.7
88.9
105.9
100.8
94
105
58.5
87.6
113.1
112.5
89.6
74.5
82.7
90.1
109.4
96
89.2
109.1
49.1
92.9
107.7
103.5
91.1
79.8
71.9
82.9
90.1
100.7
90.7
108.8
44.1
93.6
107.4
96.5
93.6
76.5
76.7
84
103.3
88.5
99
105.9
44.7
94
107.1
104.8
102.5
77.7
85.2
91.3
106.5
92.4
97.5
107
51.1
98.6
102.2
114.3
99.4
72.5
92.3
99.4
85.9
109.4
97.6

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31109&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31109&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31109&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'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)264.043908653846Range70.2Trim Var.124.058909090909
V(Y[t],d=1,D=0)576.531763392857Range114.2Trim Var.227.890792207792
V(Y[t],d=2,D=0)1654.81285714286Range197Trim Var.616.694599326599
V(Y[t],d=3,D=0)5400.8765970386Range346.9Trim Var.2122.55267994409
V(Y[t],d=0,D=1)53.021168359942Range37.6Trim Var.27.070138760407
V(Y[t],d=1,D=1)134.825290346908Range66.3Trim Var.60.199768115942
V(Y[t],d=2,D=1)446.949725490196Range120.8Trim Var.207.415737373737
V(Y[t],d=3,D=1)1495.60271020408Range216.8Trim Var.694.324455602537
V(Y[t],d=0,D=2)113.379975609756Range56.3Trim Var.47.0981008403361
V(Y[t],d=1,D=2)275.121948717949Range86.3Trim Var.148.800658730159
V(Y[t],d=2,D=2)943.969892037787Range146.7Trim Var.547.470789915967
V(Y[t],d=3,D=2)3377.07411095306Range256.6Trim Var.2169.88917112300

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 264.043908653846 & Range & 70.2 & Trim Var. & 124.058909090909 \tabularnewline
V(Y[t],d=1,D=0) & 576.531763392857 & Range & 114.2 & Trim Var. & 227.890792207792 \tabularnewline
V(Y[t],d=2,D=0) & 1654.81285714286 & Range & 197 & Trim Var. & 616.694599326599 \tabularnewline
V(Y[t],d=3,D=0) & 5400.8765970386 & Range & 346.9 & Trim Var. & 2122.55267994409 \tabularnewline
V(Y[t],d=0,D=1) & 53.021168359942 & Range & 37.6 & Trim Var. & 27.070138760407 \tabularnewline
V(Y[t],d=1,D=1) & 134.825290346908 & Range & 66.3 & Trim Var. & 60.199768115942 \tabularnewline
V(Y[t],d=2,D=1) & 446.949725490196 & Range & 120.8 & Trim Var. & 207.415737373737 \tabularnewline
V(Y[t],d=3,D=1) & 1495.60271020408 & Range & 216.8 & Trim Var. & 694.324455602537 \tabularnewline
V(Y[t],d=0,D=2) & 113.379975609756 & Range & 56.3 & Trim Var. & 47.0981008403361 \tabularnewline
V(Y[t],d=1,D=2) & 275.121948717949 & Range & 86.3 & Trim Var. & 148.800658730159 \tabularnewline
V(Y[t],d=2,D=2) & 943.969892037787 & Range & 146.7 & Trim Var. & 547.470789915967 \tabularnewline
V(Y[t],d=3,D=2) & 3377.07411095306 & Range & 256.6 & Trim Var. & 2169.88917112300 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31109&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]264.043908653846[/C][C]Range[/C][C]70.2[/C][C]Trim Var.[/C][C]124.058909090909[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]576.531763392857[/C][C]Range[/C][C]114.2[/C][C]Trim Var.[/C][C]227.890792207792[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1654.81285714286[/C][C]Range[/C][C]197[/C][C]Trim Var.[/C][C]616.694599326599[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]5400.8765970386[/C][C]Range[/C][C]346.9[/C][C]Trim Var.[/C][C]2122.55267994409[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]53.021168359942[/C][C]Range[/C][C]37.6[/C][C]Trim Var.[/C][C]27.070138760407[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]134.825290346908[/C][C]Range[/C][C]66.3[/C][C]Trim Var.[/C][C]60.199768115942[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]446.949725490196[/C][C]Range[/C][C]120.8[/C][C]Trim Var.[/C][C]207.415737373737[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1495.60271020408[/C][C]Range[/C][C]216.8[/C][C]Trim Var.[/C][C]694.324455602537[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]113.379975609756[/C][C]Range[/C][C]56.3[/C][C]Trim Var.[/C][C]47.0981008403361[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]275.121948717949[/C][C]Range[/C][C]86.3[/C][C]Trim Var.[/C][C]148.800658730159[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]943.969892037787[/C][C]Range[/C][C]146.7[/C][C]Trim Var.[/C][C]547.470789915967[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3377.07411095306[/C][C]Range[/C][C]256.6[/C][C]Trim Var.[/C][C]2169.88917112300[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31109&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31109&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)264.043908653846Range70.2Trim Var.124.058909090909
V(Y[t],d=1,D=0)576.531763392857Range114.2Trim Var.227.890792207792
V(Y[t],d=2,D=0)1654.81285714286Range197Trim Var.616.694599326599
V(Y[t],d=3,D=0)5400.8765970386Range346.9Trim Var.2122.55267994409
V(Y[t],d=0,D=1)53.021168359942Range37.6Trim Var.27.070138760407
V(Y[t],d=1,D=1)134.825290346908Range66.3Trim Var.60.199768115942
V(Y[t],d=2,D=1)446.949725490196Range120.8Trim Var.207.415737373737
V(Y[t],d=3,D=1)1495.60271020408Range216.8Trim Var.694.324455602537
V(Y[t],d=0,D=2)113.379975609756Range56.3Trim Var.47.0981008403361
V(Y[t],d=1,D=2)275.121948717949Range86.3Trim Var.148.800658730159
V(Y[t],d=2,D=2)943.969892037787Range146.7Trim Var.547.470789915967
V(Y[t],d=3,D=2)3377.07411095306Range256.6Trim Var.2169.88917112300


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.0 ; par2 = 1 ; par3 = 0 ; par4 = 12 ; par5 = 0.0 ; par6 = 1 ; par7 = 0 ;
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')