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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, 05 Dec 2008 05:57:40 -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/2008/Dec/05/t1228481902q1r9ox4y4gna8jj.htm/, Retrieved Thu, 16 May 2024 16:54:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29223, Retrieved Thu, 16 May 2024 16:54:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact207

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:31:28] [b98453cac15ba1066b407e146608df68]
F RMPD  [Cross Correlation Function] [Q7] [2008-11-28 08:08:59] [c5a66f1c8528a963efc2b82a8519f117]
F   P     [Cross Correlation Function] [Q7 - d0 D0] [2008-11-30 14:48:44] [a0d819c22534897f04a2f0b92f1eb36a]
-   P       [Cross Correlation Function] [Q7 - d1 D1] [2008-11-30 15:02:32] [a0d819c22534897f04a2f0b92f1eb36a]
F RMPD        [Variance Reduction Matrix] [Q8 - VRM -x] [2008-11-30 15:34:51] [a0d819c22534897f04a2f0b92f1eb36a]
-               [Variance Reduction Matrix] [Q8 - VRM X] [2008-11-30 16:23:16] [c5a66f1c8528a963efc2b82a8519f117]
-   P               [Variance Reduction Matrix] [VRM bouwvergunnin...] [2008-12-05 12:57:40] [b4fc5040f26b33db57f84cfb8d1d2b82] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1515
1510
1225
1577
1417
1224
1693
1633
1639
1914
1586
1552
2081
1500
1437
1470
1849
1387
1592
1589
1798
1935
1887
2027
2080
1556
1682
1785
1869
1781
2082
2570
1862
1936
1504
1765
1607
1577
1493
1615
1700
1335
1523
1623
1540
1637
1524
1419
1821
1593
1357
1263
1750
1405
1393
1639
1679
1551
1744
1429
1784

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29223&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29223&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29223&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'George Udny Yule' @ 72.249.76.132






Variance Reduction Matrix
V(Y[t],d=0,D=0)57405.3448087432Range1346Trim Var.27265.1255442671
V(Y[t],d=1,D=0)75232.8641242938Range1237Trim Var.48400.0614954577
V(Y[t],d=2,D=0)217868.058445354Range1978Trim Var.147943.714804064
V(Y[t],d=3,D=0)703314.16938899Range3651Trim Var.481520.785444947
V(Y[t],d=0,D=1)104420.451530612Range1928Trim Var.48964.5946843854
V(Y[t],d=1,D=1)103959.910904255Range1542Trim Var.60893.962833914
V(Y[t],d=2,D=1)292886.542090657Range2421Trim Var.190921.925609756
V(Y[t],d=3,D=1)997391.31642512Range4065Trim Var.675532.694871795
V(Y[t],d=0,D=2)334534.87987988Range2953Trim Var.166811.979166667
V(Y[t],d=1,D=2)312239.434920635Range2662Trim Var.191351.866935484
V(Y[t],d=2,D=2)841662.605042017Range3975Trim Var.530576.251612903
V(Y[t],d=3,D=2)2934911.40196078Range6968Trim Var.1975570.24022989

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 57405.3448087432 & Range & 1346 & Trim Var. & 27265.1255442671 \tabularnewline
V(Y[t],d=1,D=0) & 75232.8641242938 & Range & 1237 & Trim Var. & 48400.0614954577 \tabularnewline
V(Y[t],d=2,D=0) & 217868.058445354 & Range & 1978 & Trim Var. & 147943.714804064 \tabularnewline
V(Y[t],d=3,D=0) & 703314.16938899 & Range & 3651 & Trim Var. & 481520.785444947 \tabularnewline
V(Y[t],d=0,D=1) & 104420.451530612 & Range & 1928 & Trim Var. & 48964.5946843854 \tabularnewline
V(Y[t],d=1,D=1) & 103959.910904255 & Range & 1542 & Trim Var. & 60893.962833914 \tabularnewline
V(Y[t],d=2,D=1) & 292886.542090657 & Range & 2421 & Trim Var. & 190921.925609756 \tabularnewline
V(Y[t],d=3,D=1) & 997391.31642512 & Range & 4065 & Trim Var. & 675532.694871795 \tabularnewline
V(Y[t],d=0,D=2) & 334534.87987988 & Range & 2953 & Trim Var. & 166811.979166667 \tabularnewline
V(Y[t],d=1,D=2) & 312239.434920635 & Range & 2662 & Trim Var. & 191351.866935484 \tabularnewline
V(Y[t],d=2,D=2) & 841662.605042017 & Range & 3975 & Trim Var. & 530576.251612903 \tabularnewline
V(Y[t],d=3,D=2) & 2934911.40196078 & Range & 6968 & Trim Var. & 1975570.24022989 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29223&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]57405.3448087432[/C][C]Range[/C][C]1346[/C][C]Trim Var.[/C][C]27265.1255442671[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]75232.8641242938[/C][C]Range[/C][C]1237[/C][C]Trim Var.[/C][C]48400.0614954577[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]217868.058445354[/C][C]Range[/C][C]1978[/C][C]Trim Var.[/C][C]147943.714804064[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]703314.16938899[/C][C]Range[/C][C]3651[/C][C]Trim Var.[/C][C]481520.785444947[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]104420.451530612[/C][C]Range[/C][C]1928[/C][C]Trim Var.[/C][C]48964.5946843854[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]103959.910904255[/C][C]Range[/C][C]1542[/C][C]Trim Var.[/C][C]60893.962833914[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]292886.542090657[/C][C]Range[/C][C]2421[/C][C]Trim Var.[/C][C]190921.925609756[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]997391.31642512[/C][C]Range[/C][C]4065[/C][C]Trim Var.[/C][C]675532.694871795[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]334534.87987988[/C][C]Range[/C][C]2953[/C][C]Trim Var.[/C][C]166811.979166667[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]312239.434920635[/C][C]Range[/C][C]2662[/C][C]Trim Var.[/C][C]191351.866935484[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]841662.605042017[/C][C]Range[/C][C]3975[/C][C]Trim Var.[/C][C]530576.251612903[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]2934911.40196078[/C][C]Range[/C][C]6968[/C][C]Trim Var.[/C][C]1975570.24022989[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29223&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29223&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)57405.3448087432Range1346Trim Var.27265.1255442671
V(Y[t],d=1,D=0)75232.8641242938Range1237Trim Var.48400.0614954577
V(Y[t],d=2,D=0)217868.058445354Range1978Trim Var.147943.714804064
V(Y[t],d=3,D=0)703314.16938899Range3651Trim Var.481520.785444947
V(Y[t],d=0,D=1)104420.451530612Range1928Trim Var.48964.5946843854
V(Y[t],d=1,D=1)103959.910904255Range1542Trim Var.60893.962833914
V(Y[t],d=2,D=1)292886.542090657Range2421Trim Var.190921.925609756
V(Y[t],d=3,D=1)997391.31642512Range4065Trim Var.675532.694871795
V(Y[t],d=0,D=2)334534.87987988Range2953Trim Var.166811.979166667
V(Y[t],d=1,D=2)312239.434920635Range2662Trim Var.191351.866935484
V(Y[t],d=2,D=2)841662.605042017Range3975Trim Var.530576.251612903
V(Y[t],d=3,D=2)2934911.40196078Range6968Trim Var.1975570.24022989


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')