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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, 27 Nov 2009 05:40:29 -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/27/t1259325655w40rcqdf22h6iht.htm/, Retrieved Sun, 28 Apr 2024 19:03:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60658, Retrieved Sun, 28 Apr 2024 19:03:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsVRM
Estimated Impact128

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]
-   PD          [Variance Reduction Matrix] [] [2009-11-27 12:40:29] [9002751dd674b8c934bf183fdf4510e9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106370
109375
116476
123297
114813
117925
126466
131235
120546
123791
129813
133463
122987
125418
130199
133016
121454
122044
128313
131556
120027
123001
130111
132524
123742
124931
133646
136557
127509
128945
137191
139716
129083
131604
139413
143125
133948
137116
144864
149277
138796
143258
150034
154708
144888
148762
156500
161088
152772
158011
163318
169969
162269
165765
170600
174681
166364
170240
176150
182056
172218
177856
182253
188090
176863
183273
187969
194650
183036
189516
193805
200499
188142
193732
197126
205140
191751
196700
199784
207360
196101
200824
205743
212489
200810
203683
207286
210910
194915
217920

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=60658&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=60658&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60658&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)972113901.553059Range111550Trim Var.785218755.541772
V(Y[t],d=1,D=0)53645567.8495914Range39000Trim Var.38573308.7607919
V(Y[t],d=2,D=0)134962537.396029Range60403Trim Var.91269726.4024309
V(Y[t],d=3,D=0)369137880.135793Range84642Trim Var.266939766.051948
V(Y[t],d=0,D=1)9880804.78919289Range20132Trim Var.4871075.5754386
V(Y[t],d=1,D=1)6643497.49635854Range24448Trim Var.1120055.24036036
V(Y[t],d=2,D=1)10556299.9281411Range28980Trim Var.2172665.78304332
V(Y[t],d=3,D=1)19199574.7652072Range33751Trim Var.7321087.54109589
V(Y[t],d=0,D=2)9658281.23532069Range21982Trim Var.4505467.05790297
V(Y[t],d=1,D=2)9812887.66944444Range26615Trim Var.2379285.79235412
V(Y[t],d=2,D=2)16671076.2Range32761Trim Var.5968361.05790297
V(Y[t],d=3,D=2)36276963.1152223Range39141Trim Var.18788243.3231388

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 972113901.553059 & Range & 111550 & Trim Var. & 785218755.541772 \tabularnewline
V(Y[t],d=1,D=0) & 53645567.8495914 & Range & 39000 & Trim Var. & 38573308.7607919 \tabularnewline
V(Y[t],d=2,D=0) & 134962537.396029 & Range & 60403 & Trim Var. & 91269726.4024309 \tabularnewline
V(Y[t],d=3,D=0) & 369137880.135793 & Range & 84642 & Trim Var. & 266939766.051948 \tabularnewline
V(Y[t],d=0,D=1) & 9880804.78919289 & Range & 20132 & Trim Var. & 4871075.5754386 \tabularnewline
V(Y[t],d=1,D=1) & 6643497.49635854 & Range & 24448 & Trim Var. & 1120055.24036036 \tabularnewline
V(Y[t],d=2,D=1) & 10556299.9281411 & Range & 28980 & Trim Var. & 2172665.78304332 \tabularnewline
V(Y[t],d=3,D=1) & 19199574.7652072 & Range & 33751 & Trim Var. & 7321087.54109589 \tabularnewline
V(Y[t],d=0,D=2) & 9658281.23532069 & Range & 21982 & Trim Var. & 4505467.05790297 \tabularnewline
V(Y[t],d=1,D=2) & 9812887.66944444 & Range & 26615 & Trim Var. & 2379285.79235412 \tabularnewline
V(Y[t],d=2,D=2) & 16671076.2 & Range & 32761 & Trim Var. & 5968361.05790297 \tabularnewline
V(Y[t],d=3,D=2) & 36276963.1152223 & Range & 39141 & Trim Var. & 18788243.3231388 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60658&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]972113901.553059[/C][C]Range[/C][C]111550[/C][C]Trim Var.[/C][C]785218755.541772[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]53645567.8495914[/C][C]Range[/C][C]39000[/C][C]Trim Var.[/C][C]38573308.7607919[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]134962537.396029[/C][C]Range[/C][C]60403[/C][C]Trim Var.[/C][C]91269726.4024309[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]369137880.135793[/C][C]Range[/C][C]84642[/C][C]Trim Var.[/C][C]266939766.051948[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]9880804.78919289[/C][C]Range[/C][C]20132[/C][C]Trim Var.[/C][C]4871075.5754386[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]6643497.49635854[/C][C]Range[/C][C]24448[/C][C]Trim Var.[/C][C]1120055.24036036[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]10556299.9281411[/C][C]Range[/C][C]28980[/C][C]Trim Var.[/C][C]2172665.78304332[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]19199574.7652072[/C][C]Range[/C][C]33751[/C][C]Trim Var.[/C][C]7321087.54109589[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]9658281.23532069[/C][C]Range[/C][C]21982[/C][C]Trim Var.[/C][C]4505467.05790297[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]9812887.66944444[/C][C]Range[/C][C]26615[/C][C]Trim Var.[/C][C]2379285.79235412[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]16671076.2[/C][C]Range[/C][C]32761[/C][C]Trim Var.[/C][C]5968361.05790297[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]36276963.1152223[/C][C]Range[/C][C]39141[/C][C]Trim Var.[/C][C]18788243.3231388[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60658&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60658&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)972113901.553059Range111550Trim Var.785218755.541772
V(Y[t],d=1,D=0)53645567.8495914Range39000Trim Var.38573308.7607919
V(Y[t],d=2,D=0)134962537.396029Range60403Trim Var.91269726.4024309
V(Y[t],d=3,D=0)369137880.135793Range84642Trim Var.266939766.051948
V(Y[t],d=0,D=1)9880804.78919289Range20132Trim Var.4871075.5754386
V(Y[t],d=1,D=1)6643497.49635854Range24448Trim Var.1120055.24036036
V(Y[t],d=2,D=1)10556299.9281411Range28980Trim Var.2172665.78304332
V(Y[t],d=3,D=1)19199574.7652072Range33751Trim Var.7321087.54109589
V(Y[t],d=0,D=2)9658281.23532069Range21982Trim Var.4505467.05790297
V(Y[t],d=1,D=2)9812887.66944444Range26615Trim Var.2379285.79235412
V(Y[t],d=2,D=2)16671076.2Range32761Trim Var.5968361.05790297
V(Y[t],d=3,D=2)36276963.1152223Range39141Trim Var.18788243.3231388


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')