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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 14 Dec 2010 11:01:32 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/14/t1292324368ckxzu14rawja5te.htm/, Retrieved Fri, 03 May 2024 03:01:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109400, Retrieved Fri, 03 May 2024 03:01:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124

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] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD    [Standard Deviation-Mean Plot] [WS9 - Standard De...] [2010-12-04 11:23:29] [8ef49741e164ec6343c90c7935194465]
- R PD        [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-14 11:01:32] [934c3727858e074bf543f25f5906ed72] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104,37
104,89
105,15
105,72
106,38
106,40
106,47
106,59
106,76
107,35
107,81
108,03
109,08
109,86
110,29
110,34
110,59
110,64
110,83
111,51
113,32
115,89
116,51
117,44
118,25
118,65
118,52
119,07
119,12
119,28
119,30
119,44
119,57
119,93
120,03
119,66
119,46
119,48
119,56
119,43
119,57
119,59
119,50
119,54
119,56
119,61
119,64
119,60
119,71
119,72
119,66
119,76
119,80
119,88
119,78
120,08
120,22

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'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109400&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109400&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109400&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1106.3266666666671.131365493016243.66
2112.1916666666672.869902859722338.36
3119.2350.5494046364433551.78
4119.5450.06473723110319860.209999999999994

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.326666666667 & 1.13136549301624 & 3.66 \tabularnewline
2 & 112.191666666667 & 2.86990285972233 & 8.36 \tabularnewline
3 & 119.235 & 0.549404636443355 & 1.78 \tabularnewline
4 & 119.545 & 0.0647372311031986 & 0.209999999999994 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109400&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]106.326666666667[/C][C]1.13136549301624[/C][C]3.66[/C][/ROW]
[ROW][C]2[/C][C]112.191666666667[/C][C]2.86990285972233[/C][C]8.36[/C][/ROW]
[ROW][C]3[/C][C]119.235[/C][C]0.549404636443355[/C][C]1.78[/C][/ROW]
[ROW][C]4[/C][C]119.545[/C][C]0.0647372311031986[/C][C]0.209999999999994[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109400&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109400&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:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1106.3266666666671.131365493016243.66
2112.1916666666672.869902859722338.36
3119.2350.5494046364433551.78
4119.5450.06473723110319860.209999999999994






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12.7255200128769
beta-0.101217665705953
S.D.0.116760576136051
T-STAT-0.86688220506905
p-value0.477391423750477

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12.7255200128769 \tabularnewline
beta & -0.101217665705953 \tabularnewline
S.D. & 0.116760576136051 \tabularnewline
T-STAT & -0.86688220506905 \tabularnewline
p-value & 0.477391423750477 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109400&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.7255200128769[/C][/ROW]
[ROW][C]beta[/C][C]-0.101217665705953[/C][/ROW]
[ROW][C]S.D.[/C][C]0.116760576136051[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.86688220506905[/C][/ROW]
[ROW][C]p-value[/C][C]0.477391423750477[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109400&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109400&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12.7255200128769
beta-0.101217665705953
S.D.0.116760576136051
T-STAT-0.86688220506905
p-value0.477391423750477






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha89.821026157352
beta-19.0719717302795
S.D.15.3306502195041
T-STAT-1.24404193280827
p-value0.339511549812101
Lambda20.0719717302795

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 89.821026157352 \tabularnewline
beta & -19.0719717302795 \tabularnewline
S.D. & 15.3306502195041 \tabularnewline
T-STAT & -1.24404193280827 \tabularnewline
p-value & 0.339511549812101 \tabularnewline
Lambda & 20.0719717302795 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109400&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]89.821026157352[/C][/ROW]
[ROW][C]beta[/C][C]-19.0719717302795[/C][/ROW]
[ROW][C]S.D.[/C][C]15.3306502195041[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.24404193280827[/C][/ROW]
[ROW][C]p-value[/C][C]0.339511549812101[/C][/ROW]
[ROW][C]Lambda[/C][C]20.0719717302795[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109400&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109400&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha89.821026157352
beta-19.0719717302795
S.D.15.3306502195041
T-STAT-1.24404193280827
p-value0.339511549812101
Lambda20.0719717302795


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')