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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 computationThu, 10 Dec 2009 01:17:17 -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/2009/Dec/10/t1260433180tle1noc37sqqkiz.htm/, Retrieved Thu, 28 Mar 2024 15:45:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65229, Retrieved Thu, 28 Mar 2024 15:45:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
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] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [Standard deviatio...] [2009-12-10 08:17:17] [9a3898f49d4e2f0208d1968305d88f0a] [Current]
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Dataseries X:
60
52
60
26
2
60
60
60
50
39
46
60
52
52
66
58
23
48
73
73
46
50
50
36
60
67
67
12
60
60
46
60
60
60
60
60
60
60
77
25
35
60
38
37
60
60
60
60
60
72
55
60
43
66
60
75
98
60
60
60
60




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65229&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65229&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65229&T=0

As an alternative you can also use a 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'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
147.916666666666718.012411545847258
252.2514.366153404316850
35614.789431115741855
452.666666666666715.095654602526852
564.083333333333313.358404459252255

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 47.9166666666667 & 18.0124115458472 & 58 \tabularnewline
2 & 52.25 & 14.3661534043168 & 50 \tabularnewline
3 & 56 & 14.7894311157418 & 55 \tabularnewline
4 & 52.6666666666667 & 15.0956546025268 & 52 \tabularnewline
5 & 64.0833333333333 & 13.3584044592522 & 55 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65229&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]47.9166666666667[/C][C]18.0124115458472[/C][C]58[/C][/ROW]
[ROW][C]2[/C][C]52.25[/C][C]14.3661534043168[/C][C]50[/C][/ROW]
[ROW][C]3[/C][C]56[/C][C]14.7894311157418[/C][C]55[/C][/ROW]
[ROW][C]4[/C][C]52.6666666666667[/C][C]15.0956546025268[/C][C]52[/C][/ROW]
[ROW][C]5[/C][C]64.0833333333333[/C][C]13.3584044592522[/C][C]55[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65229&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65229&T=1

As an alternative you can also use a QR Code:  

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

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
147.916666666666718.012411545847258
252.2514.366153404316850
35614.789431115741855
452.666666666666715.095654602526852
564.083333333333313.358404459252255







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha28.1060892129110
beta-0.237832272135097
S.D.0.094409829518062
T-STAT-2.51914735307934
p-value0.0862413213945988

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28.1060892129110 \tabularnewline
beta & -0.237832272135097 \tabularnewline
S.D. & 0.094409829518062 \tabularnewline
T-STAT & -2.51914735307934 \tabularnewline
p-value & 0.0862413213945988 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65229&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28.1060892129110[/C][/ROW]
[ROW][C]beta[/C][C]-0.237832272135097[/C][/ROW]
[ROW][C]S.D.[/C][C]0.094409829518062[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.51914735307934[/C][/ROW]
[ROW][C]p-value[/C][C]0.0862413213945988[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65229&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65229&T=2

As an alternative you can also use a QR Code:  

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

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha28.1060892129110
beta-0.237832272135097
S.D.0.094409829518062
T-STAT-2.51914735307934
p-value0.0862413213945988







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.24335370289632
beta-0.884122529411668
S.D.0.301580982774064
T-STAT-2.93162559946304
p-value0.0609205993796317
Lambda1.88412252941167

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.24335370289632 \tabularnewline
beta & -0.884122529411668 \tabularnewline
S.D. & 0.301580982774064 \tabularnewline
T-STAT & -2.93162559946304 \tabularnewline
p-value & 0.0609205993796317 \tabularnewline
Lambda & 1.88412252941167 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65229&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.24335370289632[/C][/ROW]
[ROW][C]beta[/C][C]-0.884122529411668[/C][/ROW]
[ROW][C]S.D.[/C][C]0.301580982774064[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.93162559946304[/C][/ROW]
[ROW][C]p-value[/C][C]0.0609205993796317[/C][/ROW]
[ROW][C]Lambda[/C][C]1.88412252941167[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65229&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65229&T=3

As an alternative you can also use a QR Code:  

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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.24335370289632
beta-0.884122529411668
S.D.0.301580982774064
T-STAT-2.93162559946304
p-value0.0609205993796317
Lambda1.88412252941167



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))
(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')