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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 computationTue, 24 Nov 2009 10:48:12 -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/2009/Nov/24/t1259084952dwi9hzp1krf5kxu.htm/, Retrieved Wed, 24 Apr 2024 14:52:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59185, Retrieved Wed, 24 Apr 2024 14:52:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
-    D          [Variance Reduction Matrix] [SHWS8methode2] [2009-11-24 17:48:12] [db49399df1e4a3dbe31268849cebfd7f] [Current]
-    D            [Variance Reduction Matrix] [SHWWS8review4] [2009-11-29 15:54:40] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D            [Variance Reduction Matrix] [SHWWS8review] [2009-12-04 20:51:16] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D            [Variance Reduction Matrix] [SHWPAPer] [2009-12-13 09:27:37] [a66d3a79ef9e5308cd94a469bc5ca464]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124
115
106
105
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59185&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]0 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=59185&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59185&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)339.033615819209Range77Trim Var.225.897677793904
V(Y[t],d=1,D=0)117.969608416131Range51Trim Var.56.6284470246734
V(Y[t],d=2,D=0)162.638838475499Range63Trim Var.65.6125490196078
V(Y[t],d=3,D=0)390.033834586466Range92Trim Var.176.398431372549
V(Y[t],d=0,D=1)105.005319148936Range42Trim Var.57.0548780487805
V(Y[t],d=1,D=1)8.86123959296947Range13Trim Var.4.45883940620783
V(Y[t],d=2,D=1)17.7777777777778Range23Trim Var.7.38205128205128
V(Y[t],d=3,D=1)58.6010101010101Range38Trim Var.27.2807017543860
V(Y[t],d=0,D=2)197.6Range45Trim Var.160.512096774194
V(Y[t],d=1,D=2)23.5159663865546Range20Trim Var.15.1397849462366
V(Y[t],d=2,D=2)61.74064171123Range32Trim Var.36.9436781609195
V(Y[t],d=3,D=2)212.835227272727Range58Trim Var.108.16

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 339.033615819209 & Range & 77 & Trim Var. & 225.897677793904 \tabularnewline
V(Y[t],d=1,D=0) & 117.969608416131 & Range & 51 & Trim Var. & 56.6284470246734 \tabularnewline
V(Y[t],d=2,D=0) & 162.638838475499 & Range & 63 & Trim Var. & 65.6125490196078 \tabularnewline
V(Y[t],d=3,D=0) & 390.033834586466 & Range & 92 & Trim Var. & 176.398431372549 \tabularnewline
V(Y[t],d=0,D=1) & 105.005319148936 & Range & 42 & Trim Var. & 57.0548780487805 \tabularnewline
V(Y[t],d=1,D=1) & 8.86123959296947 & Range & 13 & Trim Var. & 4.45883940620783 \tabularnewline
V(Y[t],d=2,D=1) & 17.7777777777778 & Range & 23 & Trim Var. & 7.38205128205128 \tabularnewline
V(Y[t],d=3,D=1) & 58.6010101010101 & Range & 38 & Trim Var. & 27.2807017543860 \tabularnewline
V(Y[t],d=0,D=2) & 197.6 & Range & 45 & Trim Var. & 160.512096774194 \tabularnewline
V(Y[t],d=1,D=2) & 23.5159663865546 & Range & 20 & Trim Var. & 15.1397849462366 \tabularnewline
V(Y[t],d=2,D=2) & 61.74064171123 & Range & 32 & Trim Var. & 36.9436781609195 \tabularnewline
V(Y[t],d=3,D=2) & 212.835227272727 & Range & 58 & Trim Var. & 108.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59185&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]339.033615819209[/C][C]Range[/C][C]77[/C][C]Trim Var.[/C][C]225.897677793904[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]117.969608416131[/C][C]Range[/C][C]51[/C][C]Trim Var.[/C][C]56.6284470246734[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]162.638838475499[/C][C]Range[/C][C]63[/C][C]Trim Var.[/C][C]65.6125490196078[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]390.033834586466[/C][C]Range[/C][C]92[/C][C]Trim Var.[/C][C]176.398431372549[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]105.005319148936[/C][C]Range[/C][C]42[/C][C]Trim Var.[/C][C]57.0548780487805[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]8.86123959296947[/C][C]Range[/C][C]13[/C][C]Trim Var.[/C][C]4.45883940620783[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]17.7777777777778[/C][C]Range[/C][C]23[/C][C]Trim Var.[/C][C]7.38205128205128[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]58.6010101010101[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]27.2807017543860[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]197.6[/C][C]Range[/C][C]45[/C][C]Trim Var.[/C][C]160.512096774194[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]23.5159663865546[/C][C]Range[/C][C]20[/C][C]Trim Var.[/C][C]15.1397849462366[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]61.74064171123[/C][C]Range[/C][C]32[/C][C]Trim Var.[/C][C]36.9436781609195[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]212.835227272727[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]108.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59185&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59185&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)339.033615819209Range77Trim Var.225.897677793904
V(Y[t],d=1,D=0)117.969608416131Range51Trim Var.56.6284470246734
V(Y[t],d=2,D=0)162.638838475499Range63Trim Var.65.6125490196078
V(Y[t],d=3,D=0)390.033834586466Range92Trim Var.176.398431372549
V(Y[t],d=0,D=1)105.005319148936Range42Trim Var.57.0548780487805
V(Y[t],d=1,D=1)8.86123959296947Range13Trim Var.4.45883940620783
V(Y[t],d=2,D=1)17.7777777777778Range23Trim Var.7.38205128205128
V(Y[t],d=3,D=1)58.6010101010101Range38Trim Var.27.2807017543860
V(Y[t],d=0,D=2)197.6Range45Trim Var.160.512096774194
V(Y[t],d=1,D=2)23.5159663865546Range20Trim Var.15.1397849462366
V(Y[t],d=2,D=2)61.74064171123Range32Trim Var.36.9436781609195
V(Y[t],d=3,D=2)212.835227272727Range58Trim Var.108.16


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')