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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 computationWed, 22 Jan 2020 11:44:33 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2020/Jan/22/t15796900524ycvzsup9f2h7ss.htm/, Retrieved Sat, 27 Apr 2024 04:33:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319014, Retrieved Sat, 27 Apr 2024 04:33:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsvar mattix
Estimated Impact141

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] [Examen 22/01] [2020-01-22 10:44:33] [6318fcabf82ddcca686e14c1c17254d8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
62.4
67.4
76.1
67.4
74.5
72.6
60.5
66.1
76.5
76.8
77
71
74.8
73.7
80.5
71.8
76.9
79.9
65.9
69.5
75.1
79.6
75.2
68
72.8
71.5
78.5
76.8
75.3
76.7
69.7
67.8
77.5
82.5
75.3
70.9
76
73.7
79.7
77.8
73.3
78.3
71.9
67
82
83.7
74.8
80
74.3
76.8
89
81.9
76.8
88.9
75.8
75.5
89.1
88
85.9
89.3
82.9
81.2
90.5
86.4
81.8
91.3
73.4
76.6
91
87
89.7
90.7
86.5
86.6
98.8
84.4
91.4
95.7
78.5
81.7
94.3
98.5
95.4
91.7
92.8
90.5
102.2
91.8
95
102
88.9
89.6
97.9
108.6
100.8
95.1
101
100.9
102.5
105.4
98.4
105.3
96.5
88.1
107.9
107
92.5
95.7
85.2
85.5
94.7
86.2
88.8
93.4
83.4
82.9
96.7
96.2
92.8
92.8
90
95.4
108.3
96.3
95
109
92
92.3
107
105.5
105.4
103.9
99.2
102.2
121.5
102.3
110
105.9
91.9
100
111.7
104.9
103.3
101.8
100.8
104.2
116.5
97.9
100.7
107
96.3
96
104.5
107.4
102.4
94.9
98.8
96.8
108.2
103.8
102.3
107.2
102
92.6
105.2
113
105.6
101.6
101.7
102.7
109
105.5
103.3
108.6
98.2
90
112.4
111.9
102.1
102.4
101.7
98.7
114
105.1
98.3
110
96.5
92.2
112
111.4
107.5
103.4
103.5
107.4
117.6
110.2
104.3
115.9
98.9
101.9
113.5
109.5
110
114.2
106.9
109.2
124.2
104.7
111.9
119
102.9
106.3

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319014&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319014&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Variance Reduction Matrix
V(Y[t],d=0,D=0)192.103Range63.7Trim Var.140.274
V(Y[t],d=1,D=0)68.2102Range41.9Trim Var.41.7327
V(Y[t],d=2,D=0)182.87Range69.1Trim Var.119.611
V(Y[t],d=3,D=0)541.556Range120.2Trim Var.334.779
V(Y[t],d=0,D=1)34.0673Range34.8Trim Var.17.9424
V(Y[t],d=1,D=1)32.0415Range32.3Trim Var.19.2198
V(Y[t],d=2,D=1)96.7109Range52.3Trim Var.59.5672
V(Y[t],d=3,D=1)318.548Range95.1Trim Var.186.972
V(Y[t],d=0,D=2)89.2025Range62.1Trim Var.40.8962
V(Y[t],d=1,D=2)78.3236Range56Trim Var.44.9393
V(Y[t],d=2,D=2)233.52Range86.9Trim Var.135.415
V(Y[t],d=3,D=2)768.737Range157.5Trim Var.430.254

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 192.103 & Range & 63.7 & Trim Var. & 140.274 \tabularnewline
V(Y[t],d=1,D=0) & 68.2102 & Range & 41.9 & Trim Var. & 41.7327 \tabularnewline
V(Y[t],d=2,D=0) & 182.87 & Range & 69.1 & Trim Var. & 119.611 \tabularnewline
V(Y[t],d=3,D=0) & 541.556 & Range & 120.2 & Trim Var. & 334.779 \tabularnewline
V(Y[t],d=0,D=1) & 34.0673 & Range & 34.8 & Trim Var. & 17.9424 \tabularnewline
V(Y[t],d=1,D=1) & 32.0415 & Range & 32.3 & Trim Var. & 19.2198 \tabularnewline
V(Y[t],d=2,D=1) & 96.7109 & Range & 52.3 & Trim Var. & 59.5672 \tabularnewline
V(Y[t],d=3,D=1) & 318.548 & Range & 95.1 & Trim Var. & 186.972 \tabularnewline
V(Y[t],d=0,D=2) & 89.2025 & Range & 62.1 & Trim Var. & 40.8962 \tabularnewline
V(Y[t],d=1,D=2) & 78.3236 & Range & 56 & Trim Var. & 44.9393 \tabularnewline
V(Y[t],d=2,D=2) & 233.52 & Range & 86.9 & Trim Var. & 135.415 \tabularnewline
V(Y[t],d=3,D=2) & 768.737 & Range & 157.5 & Trim Var. & 430.254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319014&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]192.103[/C][C]Range[/C][C]63.7[/C][C]Trim Var.[/C][C]140.274[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]68.2102[/C][C]Range[/C][C]41.9[/C][C]Trim Var.[/C][C]41.7327[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]182.87[/C][C]Range[/C][C]69.1[/C][C]Trim Var.[/C][C]119.611[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]541.556[/C][C]Range[/C][C]120.2[/C][C]Trim Var.[/C][C]334.779[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]34.0673[/C][C]Range[/C][C]34.8[/C][C]Trim Var.[/C][C]17.9424[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]32.0415[/C][C]Range[/C][C]32.3[/C][C]Trim Var.[/C][C]19.2198[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]96.7109[/C][C]Range[/C][C]52.3[/C][C]Trim Var.[/C][C]59.5672[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]318.548[/C][C]Range[/C][C]95.1[/C][C]Trim Var.[/C][C]186.972[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]89.2025[/C][C]Range[/C][C]62.1[/C][C]Trim Var.[/C][C]40.8962[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]78.3236[/C][C]Range[/C][C]56[/C][C]Trim Var.[/C][C]44.9393[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]233.52[/C][C]Range[/C][C]86.9[/C][C]Trim Var.[/C][C]135.415[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]768.737[/C][C]Range[/C][C]157.5[/C][C]Trim Var.[/C][C]430.254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319014&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)192.103Range63.7Trim Var.140.274
V(Y[t],d=1,D=0)68.2102Range41.9Trim Var.41.7327
V(Y[t],d=2,D=0)182.87Range69.1Trim Var.119.611
V(Y[t],d=3,D=0)541.556Range120.2Trim Var.334.779
V(Y[t],d=0,D=1)34.0673Range34.8Trim Var.17.9424
V(Y[t],d=1,D=1)32.0415Range32.3Trim Var.19.2198
V(Y[t],d=2,D=1)96.7109Range52.3Trim Var.59.5672
V(Y[t],d=3,D=1)318.548Range95.1Trim Var.186.972
V(Y[t],d=0,D=2)89.2025Range62.1Trim Var.40.8962
V(Y[t],d=1,D=2)78.3236Range56Trim Var.44.9393
V(Y[t],d=2,D=2)233.52Range86.9Trim Var.135.415
V(Y[t],d=3,D=2)768.737Range157.5Trim Var.430.254


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = two.sided ; par2 = 0.97 ; par3 = 14 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
n.orig <- length(x)
x <- na.omit(x)
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)
if(n.orig!=n) {
a<-table.row.start(a)
a<-table.element(a,'Warning: NAs were removed from the time series! The results shown below will only be correct if the NAs are all located at the start and/or end of the time series.',6,F)
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(myx,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,signif(var(myx), digits=6))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,signif(max(myx)-min(myx), digits=6))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,signif(var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')
bitmap(file='pic0.png')
op <- par(mfrow=c(2,2))
plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0')
plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0')
plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1')
plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1')
par(op)
dev.off()