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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, 06 Dec 2009 07:13:27 -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/Dec/06/t1260108870ntcd1fy5huy54jy.htm/, Retrieved Mon, 06 May 2024 02:19:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64404, Retrieved Mon, 06 May 2024 02:19:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104

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] [] [2009-12-06 14:13:27] [0545e25c765ce26b196961216dc11e13] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9051
8823
8776
8255
7969
8758
8693
8271
7790
7769
8170
8209
9395
9260
9018
8501
8500
9649
9319
8830
8436
8169
8269
7945
9144
8770
8834
7837
7792
8616
8518
7940
7545
7531
7665
7599
8444
8549
7986
7335
7287
7870
7839
7327
7259
6964
7271
6956
7608
7692
7255
6804
6655
7341
7602
7086
6625
6272
6576
6491
7649
7400
6913
6532
6486
7295
7556
7088
6952
6773
6917
7371
8221
7953
8027
7287
8076
8933
9433
9479
9199
9469
10015
10999
13009
13699
13895
13248
13973
15095
15201
14823
14538
14547
14407

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=64404&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=64404&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64404&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)4847994.90324748Range8929Trim Var.2829866.55686274
V(Y[t],d=1,D=0)297639.440402654Range3007Trim Var.188685.529977051
V(Y[t],d=2,D=0)493739.5514259Range3102Trim Var.315686.593593888
V(Y[t],d=3,D=0)1302742.00334448Range5439Trim Var.754165.801264679
V(Y[t],d=0,D=1)4277502.92624155Range7195Trim Var.2787466.19901065
V(Y[t],d=1,D=1)111627.444745559Range1846Trim Var.58484.0179968701
V(Y[t],d=2,D=1)204722.189197531Range2300Trim Var.117703.329979879
V(Y[t],d=3,D=1)665838.43528481Range4095Trim Var.392013.521126761
V(Y[t],d=0,D=2)2759680.62857143Range7130Trim Var.1642285.71633385
V(Y[t],d=1,D=2)267841.260662526Range2556Trim Var.170213.512691698
V(Y[t],d=2,D=2)604564.806905371Range3410Trim Var.417431.520218579
V(Y[t],d=3,D=2)2008600.12708516Range6146Trim Var.1403630.89717514

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 4847994.90324748 & Range & 8929 & Trim Var. & 2829866.55686274 \tabularnewline
V(Y[t],d=1,D=0) & 297639.440402654 & Range & 3007 & Trim Var. & 188685.529977051 \tabularnewline
V(Y[t],d=2,D=0) & 493739.5514259 & Range & 3102 & Trim Var. & 315686.593593888 \tabularnewline
V(Y[t],d=3,D=0) & 1302742.00334448 & Range & 5439 & Trim Var. & 754165.801264679 \tabularnewline
V(Y[t],d=0,D=1) & 4277502.92624155 & Range & 7195 & Trim Var. & 2787466.19901065 \tabularnewline
V(Y[t],d=1,D=1) & 111627.444745559 & Range & 1846 & Trim Var. & 58484.0179968701 \tabularnewline
V(Y[t],d=2,D=1) & 204722.189197531 & Range & 2300 & Trim Var. & 117703.329979879 \tabularnewline
V(Y[t],d=3,D=1) & 665838.43528481 & Range & 4095 & Trim Var. & 392013.521126761 \tabularnewline
V(Y[t],d=0,D=2) & 2759680.62857143 & Range & 7130 & Trim Var. & 1642285.71633385 \tabularnewline
V(Y[t],d=1,D=2) & 267841.260662526 & Range & 2556 & Trim Var. & 170213.512691698 \tabularnewline
V(Y[t],d=2,D=2) & 604564.806905371 & Range & 3410 & Trim Var. & 417431.520218579 \tabularnewline
V(Y[t],d=3,D=2) & 2008600.12708516 & Range & 6146 & Trim Var. & 1403630.89717514 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64404&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]4847994.90324748[/C][C]Range[/C][C]8929[/C][C]Trim Var.[/C][C]2829866.55686274[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]297639.440402654[/C][C]Range[/C][C]3007[/C][C]Trim Var.[/C][C]188685.529977051[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]493739.5514259[/C][C]Range[/C][C]3102[/C][C]Trim Var.[/C][C]315686.593593888[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1302742.00334448[/C][C]Range[/C][C]5439[/C][C]Trim Var.[/C][C]754165.801264679[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]4277502.92624155[/C][C]Range[/C][C]7195[/C][C]Trim Var.[/C][C]2787466.19901065[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]111627.444745559[/C][C]Range[/C][C]1846[/C][C]Trim Var.[/C][C]58484.0179968701[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]204722.189197531[/C][C]Range[/C][C]2300[/C][C]Trim Var.[/C][C]117703.329979879[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]665838.43528481[/C][C]Range[/C][C]4095[/C][C]Trim Var.[/C][C]392013.521126761[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]2759680.62857143[/C][C]Range[/C][C]7130[/C][C]Trim Var.[/C][C]1642285.71633385[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]267841.260662526[/C][C]Range[/C][C]2556[/C][C]Trim Var.[/C][C]170213.512691698[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]604564.806905371[/C][C]Range[/C][C]3410[/C][C]Trim Var.[/C][C]417431.520218579[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2008600.12708516[/C][C]Range[/C][C]6146[/C][C]Trim Var.[/C][C]1403630.89717514[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64404&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64404&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)4847994.90324748Range8929Trim Var.2829866.55686274
V(Y[t],d=1,D=0)297639.440402654Range3007Trim Var.188685.529977051
V(Y[t],d=2,D=0)493739.5514259Range3102Trim Var.315686.593593888
V(Y[t],d=3,D=0)1302742.00334448Range5439Trim Var.754165.801264679
V(Y[t],d=0,D=1)4277502.92624155Range7195Trim Var.2787466.19901065
V(Y[t],d=1,D=1)111627.444745559Range1846Trim Var.58484.0179968701
V(Y[t],d=2,D=1)204722.189197531Range2300Trim Var.117703.329979879
V(Y[t],d=3,D=1)665838.43528481Range4095Trim Var.392013.521126761
V(Y[t],d=0,D=2)2759680.62857143Range7130Trim Var.1642285.71633385
V(Y[t],d=1,D=2)267841.260662526Range2556Trim Var.170213.512691698
V(Y[t],d=2,D=2)604564.806905371Range3410Trim Var.417431.520218579
V(Y[t],d=3,D=2)2008600.12708516Range6146Trim Var.1403630.89717514


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')