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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 27 Apr 2014 10:23:49 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Apr/27/t1398608790r01zsozui54at31.htm/, Retrieved Fri, 17 May 2024 00:11:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234618, Retrieved Fri, 17 May 2024 00:11:29 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

157

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Variability] [spreidingsmaten s...] [2013-04-22 07:42:16] [8378eef5211278eb3f097c01ec83268e]
- RMPD    [Standard Deviation-Mean Plot] [] [2014-04-27 14:23:49] [5f7d0cda5d8a9348873c82369b6851b6] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234618&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234618&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234618&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	29.1991666666667	0.43431154158221	1.4
2	30.535	0.339826158766241	1.05
3	31.1541666666667	0.166540103460416	0.439999999999998
4	31.4675	0.0766485485837792	0.199999999999999
5	31.7566666666667	0.0698483205151554	0.239999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 29.1991666666667 & 0.43431154158221 & 1.4 \tabularnewline
2 & 30.535 & 0.339826158766241 & 1.05 \tabularnewline
3 & 31.1541666666667 & 0.166540103460416 & 0.439999999999998 \tabularnewline
4 & 31.4675 & 0.0766485485837792 & 0.199999999999999 \tabularnewline
5 & 31.7566666666667 & 0.0698483205151554 & 0.239999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234618&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]29.1991666666667[/C][C]0.43431154158221[/C][C]1.4[/C][/ROW]
[ROW][C]2[/C][C]30.535[/C][C]0.339826158766241[/C][C]1.05[/C][/ROW]
[ROW][C]3[/C][C]31.1541666666667[/C][C]0.166540103460416[/C][C]0.439999999999998[/C][/ROW]
[ROW][C]4[/C][C]31.4675[/C][C]0.0766485485837792[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]5[/C][C]31.7566666666667[/C][C]0.0698483205151554[/C][C]0.239999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234618&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234618&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
Section	Mean	Standard Deviation	Range
1	29.1991666666667	0.43431154158221	1.4
2	30.535	0.339826158766241	1.05
3	31.1541666666667	0.166540103460416	0.439999999999998
4	31.4675	0.0766485485837792	0.199999999999999
5	31.7566666666667	0.0698483205151554	0.239999999999998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4.95554711518461
beta	-0.153722513767639
S.D.	0.0268920639171478
T-STAT	-5.7162780157464
p-value	0.0106227919609445

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.95554711518461 \tabularnewline
beta & -0.153722513767639 \tabularnewline
S.D. & 0.0268920639171478 \tabularnewline
T-STAT & -5.7162780157464 \tabularnewline
p-value & 0.0106227919609445 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234618&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.95554711518461[/C][/ROW]
[ROW][C]beta[/C][C]-0.153722513767639[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0268920639171478[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.7162780157464[/C][/ROW]
[ROW][C]p-value[/C][C]0.0106227919609445[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234618&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234618&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)
alpha	4.95554711518461
beta	-0.153722513767639
S.D.	0.0268920639171478
T-STAT	-5.7162780157464
p-value	0.0106227919609445

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	75.679085144148
beta	-22.5993796741225
S.D.	6.19443888465332
T-STAT	-3.64833362552213
p-value	0.0355337321598062
Lambda	23.5993796741225

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 75.679085144148 \tabularnewline
beta & -22.5993796741225 \tabularnewline
S.D. & 6.19443888465332 \tabularnewline
T-STAT & -3.64833362552213 \tabularnewline
p-value & 0.0355337321598062 \tabularnewline
Lambda & 23.5993796741225 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234618&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]75.679085144148[/C][/ROW]
[ROW][C]beta[/C][C]-22.5993796741225[/C][/ROW]
[ROW][C]S.D.[/C][C]6.19443888465332[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.64833362552213[/C][/ROW]
[ROW][C]p-value[/C][C]0.0355337321598062[/C][/ROW]
[ROW][C]Lambda[/C][C]23.5993796741225[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234618&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234618&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)
alpha	75.679085144148
beta	-22.5993796741225
S.D.	6.19443888465332
T-STAT	-3.64833362552213
p-value	0.0355337321598062
Lambda	23.5993796741225

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code