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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, 27 Dec 2010 21:50:54 +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/27/t12934865494547da1yxh3fcm2.htm/, Retrieved Mon, 06 May 2024 13:29:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116154, Retrieved Mon, 06 May 2024 13:29:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [] [2010-12-27 20:46:00] [f57e4c4cbbe8f12a19647529ae7266aa]
- RMP     [Variance Reduction Matrix] [] [2010-12-27 21:50:54] [c984196f1244e05baf3e7c2e52d47a33] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110.43
114.77
132.21
122.86
118.5
130.3
113.25
104.54
132.78
122.99
133.14
125.83
122.99
125.7
148.47
120.75
136.7
139.17
123.47
112.76
137.99
139.75
140.22
121.6
132.33
130.34
149.05
130.47
139.29
146.55
137.79
122.95
139.51
155.77
143.95
125.07
142.35
144.34
145.87
156.01
146.74
156.45
152.29
122.56
154.59
149.68
118.75
109.22
104.19
107.33
114.07
107.92
103.53
117.3
112.09
95.08
123.28
121.98
121.74
119.93
115.11

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=116154&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=116154&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116154&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)233.418819617486Range61.37Trim Var.156.495039912917
V(Y[t],d=1,D=0)207.216056949153Range62.96Trim Var.132.040142452830
V(Y[t],d=2,D=0)560.279387434249Range112.25Trim Var.371.624084760523
V(Y[t],d=3,D=0)1734.15870541440Range192.86Trim Var.1122.06078868778
V(Y[t],d=0,D=1)386.126773129252Range73.63Trim Var.277.726056589147
V(Y[t],d=1,D=1)149.758543971631Range53Trim Var.86.341743844367
V(Y[t],d=2,D=1)432.257847086031Range92.71Trim Var.270.57827902439
V(Y[t],d=3,D=1)1469.04447869565Range160.06Trim Var.908.421166089744
V(Y[t],d=0,D=2)695.186228528528Range122.71Trim Var.439.015350189394
V(Y[t],d=1,D=2)386.459243492063Range94.81Trim Var.224.675868447581
V(Y[t],d=2,D=2)1094.98907512605Range135.38Trim Var.750.349178494624
V(Y[t],d=3,D=2)3770.58492130125Range230.09Trim Var.2733.09028609195

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 233.418819617486 & Range & 61.37 & Trim Var. & 156.495039912917 \tabularnewline
V(Y[t],d=1,D=0) & 207.216056949153 & Range & 62.96 & Trim Var. & 132.040142452830 \tabularnewline
V(Y[t],d=2,D=0) & 560.279387434249 & Range & 112.25 & Trim Var. & 371.624084760523 \tabularnewline
V(Y[t],d=3,D=0) & 1734.15870541440 & Range & 192.86 & Trim Var. & 1122.06078868778 \tabularnewline
V(Y[t],d=0,D=1) & 386.126773129252 & Range & 73.63 & Trim Var. & 277.726056589147 \tabularnewline
V(Y[t],d=1,D=1) & 149.758543971631 & Range & 53 & Trim Var. & 86.341743844367 \tabularnewline
V(Y[t],d=2,D=1) & 432.257847086031 & Range & 92.71 & Trim Var. & 270.57827902439 \tabularnewline
V(Y[t],d=3,D=1) & 1469.04447869565 & Range & 160.06 & Trim Var. & 908.421166089744 \tabularnewline
V(Y[t],d=0,D=2) & 695.186228528528 & Range & 122.71 & Trim Var. & 439.015350189394 \tabularnewline
V(Y[t],d=1,D=2) & 386.459243492063 & Range & 94.81 & Trim Var. & 224.675868447581 \tabularnewline
V(Y[t],d=2,D=2) & 1094.98907512605 & Range & 135.38 & Trim Var. & 750.349178494624 \tabularnewline
V(Y[t],d=3,D=2) & 3770.58492130125 & Range & 230.09 & Trim Var. & 2733.09028609195 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116154&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]233.418819617486[/C][C]Range[/C][C]61.37[/C][C]Trim Var.[/C][C]156.495039912917[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]207.216056949153[/C][C]Range[/C][C]62.96[/C][C]Trim Var.[/C][C]132.040142452830[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]560.279387434249[/C][C]Range[/C][C]112.25[/C][C]Trim Var.[/C][C]371.624084760523[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1734.15870541440[/C][C]Range[/C][C]192.86[/C][C]Trim Var.[/C][C]1122.06078868778[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]386.126773129252[/C][C]Range[/C][C]73.63[/C][C]Trim Var.[/C][C]277.726056589147[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]149.758543971631[/C][C]Range[/C][C]53[/C][C]Trim Var.[/C][C]86.341743844367[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]432.257847086031[/C][C]Range[/C][C]92.71[/C][C]Trim Var.[/C][C]270.57827902439[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]1469.04447869565[/C][C]Range[/C][C]160.06[/C][C]Trim Var.[/C][C]908.421166089744[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]695.186228528528[/C][C]Range[/C][C]122.71[/C][C]Trim Var.[/C][C]439.015350189394[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]386.459243492063[/C][C]Range[/C][C]94.81[/C][C]Trim Var.[/C][C]224.675868447581[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]1094.98907512605[/C][C]Range[/C][C]135.38[/C][C]Trim Var.[/C][C]750.349178494624[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]3770.58492130125[/C][C]Range[/C][C]230.09[/C][C]Trim Var.[/C][C]2733.09028609195[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116154&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116154&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)233.418819617486Range61.37Trim Var.156.495039912917
V(Y[t],d=1,D=0)207.216056949153Range62.96Trim Var.132.040142452830
V(Y[t],d=2,D=0)560.279387434249Range112.25Trim Var.371.624084760523
V(Y[t],d=3,D=0)1734.15870541440Range192.86Trim Var.1122.06078868778
V(Y[t],d=0,D=1)386.126773129252Range73.63Trim Var.277.726056589147
V(Y[t],d=1,D=1)149.758543971631Range53Trim Var.86.341743844367
V(Y[t],d=2,D=1)432.257847086031Range92.71Trim Var.270.57827902439
V(Y[t],d=3,D=1)1469.04447869565Range160.06Trim Var.908.421166089744
V(Y[t],d=0,D=2)695.186228528528Range122.71Trim Var.439.015350189394
V(Y[t],d=1,D=2)386.459243492063Range94.81Trim Var.224.675868447581
V(Y[t],d=2,D=2)1094.98907512605Range135.38Trim Var.750.349178494624
V(Y[t],d=3,D=2)3770.58492130125Range230.09Trim Var.2733.09028609195


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(myx,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')
bitmap(file='pic0.png')
op <- par(mfrow=c(2,2))
plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0')
plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0')
plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1')
plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1')
par(op)
dev.off()