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Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationTue, 04 Dec 2012 05:07:18 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/04/t1354615673cri5uhcwai844kn.htm/, Retrieved Thu, 28 Mar 2024 22:24:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196151, Retrieved Thu, 28 Mar 2024 22:24:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
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       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Variance Reduction Matrix] [Births] [2010-11-29 09:39:41] [b98453cac15ba1066b407e146608df68]
- R PD          [Variance Reduction Matrix] [WS9 3.3 VRM matrix ] [2010-12-07 10:25:28] [afe9379cca749d06b3d6872e02cc47ed]
- R P               [Variance Reduction Matrix] [Workshop 9: Stati...] [2012-12-04 10:07:18] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
12008
9169
8788
8417
8247
8197
8236
8253
7733
8366
8626
8863
10102
8463
9114
8563
8872
8301
8301
8278
7736
7973
8268
9476
11100
8962
9173
8738
8459
8078
8411
8291
7810
8616
8312
9692
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383
9706
8579
9474
8318
8213
8059
9111
7708
7680
8014
8007
8718
9486
9113
9025
8476
7952
7759
7835
7600
7651
8319
8812
8630




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196151&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196151&T=0

As an alternative you can also use a 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'Gertrude Mary Cox' @ cox.wessa.net







Variance Reduction Matrix
V(Y[t],d=0,D=0)641813.556140351Range4498Trim Var.330694.134062928
V(Y[t],d=1,D=0)596455.398208287Range4657Trim Var.271974.875910364
V(Y[t],d=2,D=0)1369623.65968886Range6220Trim Var.730277.140992542
V(Y[t],d=3,D=0)4353263.80388032Range10667Trim Var.2434824.39494564
V(Y[t],d=0,D=1)296934.709552496Range3419Trim Var.128022.742687893
V(Y[t],d=1,D=1)340116.527181898Range2932Trim Var.176447.629756469
V(Y[t],d=2,D=1)798458.227792833Range5363Trim Var.382336.491197183
V(Y[t],d=3,D=1)2486214.2845679Range8259Trim Var.1140886.78792757
V(Y[t],d=0,D=2)907238.812010955Range5664Trim Var.375806.412698413
V(Y[t],d=1,D=2)963270.548490946Range4960Trim Var.518012.128008193
V(Y[t],d=2,D=2)2132365.66956522Range8617Trim Var.1048456.12189318
V(Y[t],d=3,D=2)6451275.42966752Range14529Trim Var.3194207.62185792

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 641813.556140351 & Range & 4498 & Trim Var. & 330694.134062928 \tabularnewline
V(Y[t],d=1,D=0) & 596455.398208287 & Range & 4657 & Trim Var. & 271974.875910364 \tabularnewline
V(Y[t],d=2,D=0) & 1369623.65968886 & Range & 6220 & Trim Var. & 730277.140992542 \tabularnewline
V(Y[t],d=3,D=0) & 4353263.80388032 & Range & 10667 & Trim Var. & 2434824.39494564 \tabularnewline
V(Y[t],d=0,D=1) & 296934.709552496 & Range & 3419 & Trim Var. & 128022.742687893 \tabularnewline
V(Y[t],d=1,D=1) & 340116.527181898 & Range & 2932 & Trim Var. & 176447.629756469 \tabularnewline
V(Y[t],d=2,D=1) & 798458.227792833 & Range & 5363 & Trim Var. & 382336.491197183 \tabularnewline
V(Y[t],d=3,D=1) & 2486214.2845679 & Range & 8259 & Trim Var. & 1140886.78792757 \tabularnewline
V(Y[t],d=0,D=2) & 907238.812010955 & Range & 5664 & Trim Var. & 375806.412698413 \tabularnewline
V(Y[t],d=1,D=2) & 963270.548490946 & Range & 4960 & Trim Var. & 518012.128008193 \tabularnewline
V(Y[t],d=2,D=2) & 2132365.66956522 & Range & 8617 & Trim Var. & 1048456.12189318 \tabularnewline
V(Y[t],d=3,D=2) & 6451275.42966752 & Range & 14529 & Trim Var. & 3194207.62185792 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196151&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]641813.556140351[/C][C]Range[/C][C]4498[/C][C]Trim Var.[/C][C]330694.134062928[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]596455.398208287[/C][C]Range[/C][C]4657[/C][C]Trim Var.[/C][C]271974.875910364[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1369623.65968886[/C][C]Range[/C][C]6220[/C][C]Trim Var.[/C][C]730277.140992542[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]4353263.80388032[/C][C]Range[/C][C]10667[/C][C]Trim Var.[/C][C]2434824.39494564[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]296934.709552496[/C][C]Range[/C][C]3419[/C][C]Trim Var.[/C][C]128022.742687893[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]340116.527181898[/C][C]Range[/C][C]2932[/C][C]Trim Var.[/C][C]176447.629756469[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]798458.227792833[/C][C]Range[/C][C]5363[/C][C]Trim Var.[/C][C]382336.491197183[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]2486214.2845679[/C][C]Range[/C][C]8259[/C][C]Trim Var.[/C][C]1140886.78792757[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]907238.812010955[/C][C]Range[/C][C]5664[/C][C]Trim Var.[/C][C]375806.412698413[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]963270.548490946[/C][C]Range[/C][C]4960[/C][C]Trim Var.[/C][C]518012.128008193[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]2132365.66956522[/C][C]Range[/C][C]8617[/C][C]Trim Var.[/C][C]1048456.12189318[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]6451275.42966752[/C][C]Range[/C][C]14529[/C][C]Trim Var.[/C][C]3194207.62185792[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196151&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)641813.556140351Range4498Trim Var.330694.134062928
V(Y[t],d=1,D=0)596455.398208287Range4657Trim Var.271974.875910364
V(Y[t],d=2,D=0)1369623.65968886Range6220Trim Var.730277.140992542
V(Y[t],d=3,D=0)4353263.80388032Range10667Trim Var.2434824.39494564
V(Y[t],d=0,D=1)296934.709552496Range3419Trim Var.128022.742687893
V(Y[t],d=1,D=1)340116.527181898Range2932Trim Var.176447.629756469
V(Y[t],d=2,D=1)798458.227792833Range5363Trim Var.382336.491197183
V(Y[t],d=3,D=1)2486214.2845679Range8259Trim Var.1140886.78792757
V(Y[t],d=0,D=2)907238.812010955Range5664Trim Var.375806.412698413
V(Y[t],d=1,D=2)963270.548490946Range4960Trim Var.518012.128008193
V(Y[t],d=2,D=2)2132365.66956522Range8617Trim Var.1048456.12189318
V(Y[t],d=3,D=2)6451275.42966752Range14529Trim Var.3194207.62185792



Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 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')