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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, 07 Dec 2008 17:31:03 -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/08/t1228696326fo5pxxcd8spqmyg.htm/, Retrieved Thu, 16 May 2024 05:07:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30347, Retrieved Thu, 16 May 2024 05:07:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [totale uitvoer be...] [2008-11-27 20:32:52] [1e1d8320a8a1170c475bf6e4ce119de6]
-   PD  [Univariate Data Series] [uitvoer van belgi...] [2008-11-27 20:37:44] [1e1d8320a8a1170c475bf6e4ce119de6]
- RMP       [Variance Reduction Matrix] [VRM The Netherlands] [2008-12-08 00:31:03] [fdd69703d301fae09456f660b2f52997] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2236
2084.9
2409.5
2199.3
2203.5
2254.1
1975.8
1742.2
2520.6
2438.1
2126.3
2267.5
2201.1
2128.5
2596
2458.2
2210.5
2621.2
2231.4
2103.6
2685.8
2539.3
2462.4
2693.3
2307.7
2385.9
2737.6
2653.9
2545.4
2848.8
2359.5
2488.3
2861.1
2717.9
2844
2749
2652.9
2660.2
3187.1
2774.1
3158.2
3244.6
2665.5
2820.8
2983.4
3077.4
3024.8
2731.8
3046.2
2834.8
3292.8
2946.1
3196.9
3284.2
3003
2979
3137.4
3630.2
3270.7
2942.3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30347&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30347&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30347&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Variance Reduction Matrix
V(Y[t],d=0,D=0)156453.128711864Range1888Trim Var.110523.577138365
V(Y[t],d=1,D=0)88756.2031209819Range1357.5Trim Var.61284.3719593614
V(Y[t],d=2,D=0)251317.173723533Range1951.9Trim Var.191680.409211916
V(Y[t],d=3,D=0)791058.559642857Range3609.9Trim Var.590349.950258823
V(Y[t],d=0,D=1)21278.097429078Range647.7Trim Var.12679.7249477352
V(Y[t],d=1,D=1)45841.2869287696Range821.9Trim Var.30576.7927439024
V(Y[t],d=2,D=1)147770.001859903Range1531.5Trim Var.98034.918147436
V(Y[t],d=3,D=1)508484.85249495Range2857.9Trim Var.348252.381835358
V(Y[t],d=0,D=2)41558.2389444444Range902Trim Var.25178.4606350806
V(Y[t],d=1,D=2)79382.0424033614Range1234.6Trim Var.52032.7652473119
V(Y[t],d=2,D=2)257895.36557041Range2045.8Trim Var.171336.734436782
V(Y[t],d=3,D=2)895767.39001894Range3720Trim Var.606441.820344828

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 156453.128711864 & Range & 1888 & Trim Var. & 110523.577138365 \tabularnewline
V(Y[t],d=1,D=0) & 88756.2031209819 & Range & 1357.5 & Trim Var. & 61284.3719593614 \tabularnewline
V(Y[t],d=2,D=0) & 251317.173723533 & Range & 1951.9 & Trim Var. & 191680.409211916 \tabularnewline
V(Y[t],d=3,D=0) & 791058.559642857 & Range & 3609.9 & Trim Var. & 590349.950258823 \tabularnewline
V(Y[t],d=0,D=1) & 21278.097429078 & Range & 647.7 & Trim Var. & 12679.7249477352 \tabularnewline
V(Y[t],d=1,D=1) & 45841.2869287696 & Range & 821.9 & Trim Var. & 30576.7927439024 \tabularnewline
V(Y[t],d=2,D=1) & 147770.001859903 & Range & 1531.5 & Trim Var. & 98034.918147436 \tabularnewline
V(Y[t],d=3,D=1) & 508484.85249495 & Range & 2857.9 & Trim Var. & 348252.381835358 \tabularnewline
V(Y[t],d=0,D=2) & 41558.2389444444 & Range & 902 & Trim Var. & 25178.4606350806 \tabularnewline
V(Y[t],d=1,D=2) & 79382.0424033614 & Range & 1234.6 & Trim Var. & 52032.7652473119 \tabularnewline
V(Y[t],d=2,D=2) & 257895.36557041 & Range & 2045.8 & Trim Var. & 171336.734436782 \tabularnewline
V(Y[t],d=3,D=2) & 895767.39001894 & Range & 3720 & Trim Var. & 606441.820344828 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30347&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]156453.128711864[/C][C]Range[/C][C]1888[/C][C]Trim Var.[/C][C]110523.577138365[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]88756.2031209819[/C][C]Range[/C][C]1357.5[/C][C]Trim Var.[/C][C]61284.3719593614[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]251317.173723533[/C][C]Range[/C][C]1951.9[/C][C]Trim Var.[/C][C]191680.409211916[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]791058.559642857[/C][C]Range[/C][C]3609.9[/C][C]Trim Var.[/C][C]590349.950258823[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]21278.097429078[/C][C]Range[/C][C]647.7[/C][C]Trim Var.[/C][C]12679.7249477352[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]45841.2869287696[/C][C]Range[/C][C]821.9[/C][C]Trim Var.[/C][C]30576.7927439024[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]147770.001859903[/C][C]Range[/C][C]1531.5[/C][C]Trim Var.[/C][C]98034.918147436[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]508484.85249495[/C][C]Range[/C][C]2857.9[/C][C]Trim Var.[/C][C]348252.381835358[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]41558.2389444444[/C][C]Range[/C][C]902[/C][C]Trim Var.[/C][C]25178.4606350806[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]79382.0424033614[/C][C]Range[/C][C]1234.6[/C][C]Trim Var.[/C][C]52032.7652473119[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]257895.36557041[/C][C]Range[/C][C]2045.8[/C][C]Trim Var.[/C][C]171336.734436782[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]895767.39001894[/C][C]Range[/C][C]3720[/C][C]Trim Var.[/C][C]606441.820344828[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30347&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30347&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)156453.128711864Range1888Trim Var.110523.577138365
V(Y[t],d=1,D=0)88756.2031209819Range1357.5Trim Var.61284.3719593614
V(Y[t],d=2,D=0)251317.173723533Range1951.9Trim Var.191680.409211916
V(Y[t],d=3,D=0)791058.559642857Range3609.9Trim Var.590349.950258823
V(Y[t],d=0,D=1)21278.097429078Range647.7Trim Var.12679.7249477352
V(Y[t],d=1,D=1)45841.2869287696Range821.9Trim Var.30576.7927439024
V(Y[t],d=2,D=1)147770.001859903Range1531.5Trim Var.98034.918147436
V(Y[t],d=3,D=1)508484.85249495Range2857.9Trim Var.348252.381835358
V(Y[t],d=0,D=2)41558.2389444444Range902Trim Var.25178.4606350806
V(Y[t],d=1,D=2)79382.0424033614Range1234.6Trim Var.52032.7652473119
V(Y[t],d=2,D=2)257895.36557041Range2045.8Trim Var.171336.734436782
V(Y[t],d=3,D=2)895767.39001894Range3720Trim Var.606441.820344828


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')