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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareVariance Reduction Matrix
Date of computationThu, 22 Dec 2011 04:55:25 -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/2011/Dec/22/t1324547735wohbagnqad40sqe.htm/, Retrieved Fri, 03 May 2024 14:25:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159218, Retrieved Fri, 03 May 2024 14:25:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [Workshop 6] [2010-12-14 12:39:28] [52986265a8945c3b72cdef4e8a412754]
-    D  [Variance Reduction Matrix] [variantie matrix] [2010-12-27 15:57:10] [f1aa04283d83c25edc8ae3bb0d0fb93e]
-   P     [Variance Reduction Matrix] [matrix] [2010-12-29 19:50:08] [99820e5c3330fe494c612533a1ea567a]
- R PD      [Variance Reduction Matrix] [variance reductio...] [2011-12-21 13:07:34] [74be16979710d4c4e7c6647856088456]
-  M            [Variance Reduction Matrix] [variance reductio...] [2011-12-22 09:55:25] [cfea828c93f35e07cca4521b1fb38047] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31
36
24
22
17
8
12
5
6
5
8
15
16
17
23
24
27
31
40
47
43
60
64
65
65
55
57
57
57
65
69
70
71
71
73
68
65
57
41
21
21
17
9
11
6
-2
0
5
3
7
4
8
9
14
12
12
7
15
14
19

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'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159218&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159218&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159218&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'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Variance Reduction Matrix
V(Y[t],d=0,D=0)579.881073446328Range75Trim Var.496.672606568833
V(Y[t],d=1,D=0)38.85447106955Range37Trim Var.18.7707390648567
V(Y[t],d=2,D=0)60.280701754386Range38Trim Var.31.6836734693878
V(Y[t],d=3,D=0)181.423558897243Range66Trim Var.110.450196078431
V(Y[t],d=0,D=1)1362.48891843972Range129Trim Var.989.649825783972
V(Y[t],d=1,D=1)92.4588344125809Range44Trim Var.50.4987804878049
V(Y[t],d=2,D=1)139.636714975845Range46Trim Var.88.6564102564103
V(Y[t],d=3,D=1)434.340404040404Range82Trim Var.284.831309041835
V(Y[t],d=0,D=2)3417.85634920635Range183Trim Var.2805.38306451613
V(Y[t],d=1,D=2)254.240336134454Range79Trim Var.134.739784946237
V(Y[t],d=2,D=2)375.961675579323Range77Trim Var.227.288505747126
V(Y[t],d=3,D=2)1185.93939393939Range152Trim Var.689.034482758621

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 579.881073446328 & Range & 75 & Trim Var. & 496.672606568833 \tabularnewline
V(Y[t],d=1,D=0) & 38.85447106955 & Range & 37 & Trim Var. & 18.7707390648567 \tabularnewline
V(Y[t],d=2,D=0) & 60.280701754386 & Range & 38 & Trim Var. & 31.6836734693878 \tabularnewline
V(Y[t],d=3,D=0) & 181.423558897243 & Range & 66 & Trim Var. & 110.450196078431 \tabularnewline
V(Y[t],d=0,D=1) & 1362.48891843972 & Range & 129 & Trim Var. & 989.649825783972 \tabularnewline
V(Y[t],d=1,D=1) & 92.4588344125809 & Range & 44 & Trim Var. & 50.4987804878049 \tabularnewline
V(Y[t],d=2,D=1) & 139.636714975845 & Range & 46 & Trim Var. & 88.6564102564103 \tabularnewline
V(Y[t],d=3,D=1) & 434.340404040404 & Range & 82 & Trim Var. & 284.831309041835 \tabularnewline
V(Y[t],d=0,D=2) & 3417.85634920635 & Range & 183 & Trim Var. & 2805.38306451613 \tabularnewline
V(Y[t],d=1,D=2) & 254.240336134454 & Range & 79 & Trim Var. & 134.739784946237 \tabularnewline
V(Y[t],d=2,D=2) & 375.961675579323 & Range & 77 & Trim Var. & 227.288505747126 \tabularnewline
V(Y[t],d=3,D=2) & 1185.93939393939 & Range & 152 & Trim Var. & 689.034482758621 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159218&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]579.881073446328[/C][C]Range[/C][C]75[/C][C]Trim Var.[/C][C]496.672606568833[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]38.85447106955[/C][C]Range[/C][C]37[/C][C]Trim Var.[/C][C]18.7707390648567[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]60.280701754386[/C][C]Range[/C][C]38[/C][C]Trim Var.[/C][C]31.6836734693878[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]181.423558897243[/C][C]Range[/C][C]66[/C][C]Trim Var.[/C][C]110.450196078431[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1362.48891843972[/C][C]Range[/C][C]129[/C][C]Trim Var.[/C][C]989.649825783972[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]92.4588344125809[/C][C]Range[/C][C]44[/C][C]Trim Var.[/C][C]50.4987804878049[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]139.636714975845[/C][C]Range[/C][C]46[/C][C]Trim Var.[/C][C]88.6564102564103[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]434.340404040404[/C][C]Range[/C][C]82[/C][C]Trim Var.[/C][C]284.831309041835[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]3417.85634920635[/C][C]Range[/C][C]183[/C][C]Trim Var.[/C][C]2805.38306451613[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]254.240336134454[/C][C]Range[/C][C]79[/C][C]Trim Var.[/C][C]134.739784946237[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]375.961675579323[/C][C]Range[/C][C]77[/C][C]Trim Var.[/C][C]227.288505747126[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1185.93939393939[/C][C]Range[/C][C]152[/C][C]Trim Var.[/C][C]689.034482758621[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159218&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159218&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)579.881073446328Range75Trim Var.496.672606568833
V(Y[t],d=1,D=0)38.85447106955Range37Trim Var.18.7707390648567
V(Y[t],d=2,D=0)60.280701754386Range38Trim Var.31.6836734693878
V(Y[t],d=3,D=0)181.423558897243Range66Trim Var.110.450196078431
V(Y[t],d=0,D=1)1362.48891843972Range129Trim Var.989.649825783972
V(Y[t],d=1,D=1)92.4588344125809Range44Trim Var.50.4987804878049
V(Y[t],d=2,D=1)139.636714975845Range46Trim Var.88.6564102564103
V(Y[t],d=3,D=1)434.340404040404Range82Trim Var.284.831309041835
V(Y[t],d=0,D=2)3417.85634920635Range183Trim Var.2805.38306451613
V(Y[t],d=1,D=2)254.240336134454Range79Trim Var.134.739784946237
V(Y[t],d=2,D=2)375.961675579323Range77Trim Var.227.288505747126
V(Y[t],d=3,D=2)1185.93939393939Range152Trim Var.689.034482758621


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')