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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 computationTue, 02 Dec 2008 15:00:09 -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/02/t1228255275px7ojg5p10u4n57.htm/, Retrieved Tue, 14 May 2024 17:57:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28503, Retrieved Tue, 14 May 2024 17:57:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
- RM D  [Cross Correlation Function] [Opdracht 1 - Blok...] [2008-11-26 22:16:36] [8094ad203a218aaca2d1cea2c78c2d6e]
F    D    [Cross Correlation Function] [Opdracht 1 - Blok...] [2008-12-02 21:57:15] [8094ad203a218aaca2d1cea2c78c2d6e]
- RM D        [Variance Reduction Matrix] [Opdracht 1 - Blok...] [2008-12-02 22:00:09] [1351baa662f198be3bff32f9007a9a6d] [Current]
- RMPD          [Cross Correlation Function] [Opdracht 1 - Blok...] [2008-12-08 17:35:51] [8094ad203a218aaca2d1cea2c78c2d6e]
-   PD            [Cross Correlation Function] [Verbetering Q9 (b...] [2008-12-08 20:51:45] [8094ad203a218aaca2d1cea2c78c2d6e]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
98.1
101.1
111.1
93.3
100
108
70.4
75.4
105.5
112.3
102.5
93.5
86.7
95.2
103.8
97
95.5
101
67.5
64
106.7
100.6
101.2
93.1
84.2
85.8
91.8
92.4
80.3
79.7
62.5
57.1
100.8
100.7
86.2
83.2
71.7
77.5
89.8
80.3
78.7
93.8
57.6
60.6
91
85.3
77.4
77.3
68.3
69.9
81.7
75.1
69.9
84
54.3
60
89.9
77
85.3
77.6
69.2

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=28503&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=28503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28503&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)219.686142076503Range58Trim Var.147.149267053701
V(Y[t],d=1,D=0)250.547963276836Range81.3Trim Var.118.214213836478
V(Y[t],d=2,D=0)598.862022209234Range100.4Trim Var.409.297220609579
V(Y[t],d=3,D=0)1685.65346944949Range185.5Trim Var.1010.97883484163
V(Y[t],d=0,D=1)40.0820493197279Range35.4Trim Var.19.7648283499446
V(Y[t],d=1,D=1)69.2233643617021Range35.3Trim Var.41.7800290360047
V(Y[t],d=2,D=1)209.816938020352Range62.1Trim Var.134.737256097561
V(Y[t],d=3,D=1)710.978516908213Range111.2Trim Var.442.164076923077
V(Y[t],d=0,D=2)121.487102102102Range59.3Trim Var.63.627518939394
V(Y[t],d=1,D=2)199.410063492064Range60.8Trim Var.127.601118951613
V(Y[t],d=2,D=2)581.961764705883Range102.7Trim Var.355.966279569893
V(Y[t],d=3,D=2)1951.78609625668Range177.6Trim Var.1287.62860919540

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 219.686142076503 & Range & 58 & Trim Var. & 147.149267053701 \tabularnewline
V(Y[t],d=1,D=0) & 250.547963276836 & Range & 81.3 & Trim Var. & 118.214213836478 \tabularnewline
V(Y[t],d=2,D=0) & 598.862022209234 & Range & 100.4 & Trim Var. & 409.297220609579 \tabularnewline
V(Y[t],d=3,D=0) & 1685.65346944949 & Range & 185.5 & Trim Var. & 1010.97883484163 \tabularnewline
V(Y[t],d=0,D=1) & 40.0820493197279 & Range & 35.4 & Trim Var. & 19.7648283499446 \tabularnewline
V(Y[t],d=1,D=1) & 69.2233643617021 & Range & 35.3 & Trim Var. & 41.7800290360047 \tabularnewline
V(Y[t],d=2,D=1) & 209.816938020352 & Range & 62.1 & Trim Var. & 134.737256097561 \tabularnewline
V(Y[t],d=3,D=1) & 710.978516908213 & Range & 111.2 & Trim Var. & 442.164076923077 \tabularnewline
V(Y[t],d=0,D=2) & 121.487102102102 & Range & 59.3 & Trim Var. & 63.627518939394 \tabularnewline
V(Y[t],d=1,D=2) & 199.410063492064 & Range & 60.8 & Trim Var. & 127.601118951613 \tabularnewline
V(Y[t],d=2,D=2) & 581.961764705883 & Range & 102.7 & Trim Var. & 355.966279569893 \tabularnewline
V(Y[t],d=3,D=2) & 1951.78609625668 & Range & 177.6 & Trim Var. & 1287.62860919540 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28503&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]219.686142076503[/C][C]Range[/C][C]58[/C][C]Trim Var.[/C][C]147.149267053701[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]250.547963276836[/C][C]Range[/C][C]81.3[/C][C]Trim Var.[/C][C]118.214213836478[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]598.862022209234[/C][C]Range[/C][C]100.4[/C][C]Trim Var.[/C][C]409.297220609579[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1685.65346944949[/C][C]Range[/C][C]185.5[/C][C]Trim Var.[/C][C]1010.97883484163[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]40.0820493197279[/C][C]Range[/C][C]35.4[/C][C]Trim Var.[/C][C]19.7648283499446[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]69.2233643617021[/C][C]Range[/C][C]35.3[/C][C]Trim Var.[/C][C]41.7800290360047[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]209.816938020352[/C][C]Range[/C][C]62.1[/C][C]Trim Var.[/C][C]134.737256097561[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]710.978516908213[/C][C]Range[/C][C]111.2[/C][C]Trim Var.[/C][C]442.164076923077[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]121.487102102102[/C][C]Range[/C][C]59.3[/C][C]Trim Var.[/C][C]63.627518939394[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]199.410063492064[/C][C]Range[/C][C]60.8[/C][C]Trim Var.[/C][C]127.601118951613[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]581.961764705883[/C][C]Range[/C][C]102.7[/C][C]Trim Var.[/C][C]355.966279569893[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]1951.78609625668[/C][C]Range[/C][C]177.6[/C][C]Trim Var.[/C][C]1287.62860919540[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28503&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)219.686142076503Range58Trim Var.147.149267053701
V(Y[t],d=1,D=0)250.547963276836Range81.3Trim Var.118.214213836478
V(Y[t],d=2,D=0)598.862022209234Range100.4Trim Var.409.297220609579
V(Y[t],d=3,D=0)1685.65346944949Range185.5Trim Var.1010.97883484163
V(Y[t],d=0,D=1)40.0820493197279Range35.4Trim Var.19.7648283499446
V(Y[t],d=1,D=1)69.2233643617021Range35.3Trim Var.41.7800290360047
V(Y[t],d=2,D=1)209.816938020352Range62.1Trim Var.134.737256097561
V(Y[t],d=3,D=1)710.978516908213Range111.2Trim Var.442.164076923077
V(Y[t],d=0,D=2)121.487102102102Range59.3Trim Var.63.627518939394
V(Y[t],d=1,D=2)199.410063492064Range60.8Trim Var.127.601118951613
V(Y[t],d=2,D=2)581.961764705883Range102.7Trim Var.355.966279569893
V(Y[t],d=3,D=2)1951.78609625668Range177.6Trim Var.1287.62860919540


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Airline ; par2 = Box-Jenkins ; par3 = Airline Passengers ;
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')