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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

Wed, 13 Aug 2014 17:03:38 +0100

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/Aug/13/t14079458549hwo4j0z482ewbu.htm/, Retrieved Thu, 16 May 2024 01:47:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235544, Retrieved Thu, 16 May 2024 01:47:44 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Boeykens Brice

Estimated Impact

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

-     [(Partial) Autocorrelation Function] [Tijdreeks B Stap 17] [2014-08-13 15:08:09] [2064a7ed2562130dd70fccaf2dd61d5a]
- RMP     [Standard Deviation-Mean Plot] [Tijdreeks B Stap 21] [2014-08-13 16:03:38] [7314f5de623f4497f735e8af2050bf2f] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235544&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235544&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235544&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	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	364.166666666667	64.1671585970911	230
2	380.833333333333	76.3316130545867	230
3	370.833333333333	95.8652779433279	310
4	371.666666666667	104.953091975184	370
5	382.5	99.8293999326305	310
6	375.833333333333	154.063642890223	540
7	409.166666666667	148.229449492905	440
8	420	127.564600390262	360
9	410	142.509967753455	430

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 364.166666666667 & 64.1671585970911 & 230 \tabularnewline
2 & 380.833333333333 & 76.3316130545867 & 230 \tabularnewline
3 & 370.833333333333 & 95.8652779433279 & 310 \tabularnewline
4 & 371.666666666667 & 104.953091975184 & 370 \tabularnewline
5 & 382.5 & 99.8293999326305 & 310 \tabularnewline
6 & 375.833333333333 & 154.063642890223 & 540 \tabularnewline
7 & 409.166666666667 & 148.229449492905 & 440 \tabularnewline
8 & 420 & 127.564600390262 & 360 \tabularnewline
9 & 410 & 142.509967753455 & 430 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235544&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]364.166666666667[/C][C]64.1671585970911[/C][C]230[/C][/ROW]
[ROW][C]2[/C][C]380.833333333333[/C][C]76.3316130545867[/C][C]230[/C][/ROW]
[ROW][C]3[/C][C]370.833333333333[/C][C]95.8652779433279[/C][C]310[/C][/ROW]
[ROW][C]4[/C][C]371.666666666667[/C][C]104.953091975184[/C][C]370[/C][/ROW]
[ROW][C]5[/C][C]382.5[/C][C]99.8293999326305[/C][C]310[/C][/ROW]
[ROW][C]6[/C][C]375.833333333333[/C][C]154.063642890223[/C][C]540[/C][/ROW]
[ROW][C]7[/C][C]409.166666666667[/C][C]148.229449492905[/C][C]440[/C][/ROW]
[ROW][C]8[/C][C]420[/C][C]127.564600390262[/C][C]360[/C][/ROW]
[ROW][C]9[/C][C]410[/C][C]142.509967753455[/C][C]430[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235544&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235544&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	364.166666666667	64.1671585970911	230
2	380.833333333333	76.3316130545867	230
3	370.833333333333	95.8652779433279	310
4	371.666666666667	104.953091975184	370
5	382.5	99.8293999326305	310
6	375.833333333333	154.063642890223	540
7	409.166666666667	148.229449492905	440
8	420	127.564600390262	360
9	410	142.509967753455	430

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-271.519936600771
beta	0.992021128102325
S.D.	0.465155716181251
T-STAT	2.13266459723732
p-value	0.0703926786919278

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -271.519936600771 \tabularnewline
beta & 0.992021128102325 \tabularnewline
S.D. & 0.465155716181251 \tabularnewline
T-STAT & 2.13266459723732 \tabularnewline
p-value & 0.0703926786919278 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235544&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-271.519936600771[/C][/ROW]
[ROW][C]beta[/C][C]0.992021128102325[/C][/ROW]
[ROW][C]S.D.[/C][C]0.465155716181251[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.13266459723732[/C][/ROW]
[ROW][C]p-value[/C][C]0.0703926786919278[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235544&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235544&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	-271.519936600771
beta	0.992021128102325
S.D.	0.465155716181251
T-STAT	2.13266459723732
p-value	0.0703926786919278

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-17.8036753405781
beta	3.77458483553649
S.D.	1.70253457447356
T-STAT	2.21703858008501
p-value	0.0621482771416982
Lambda	-2.77458483553649

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -17.8036753405781 \tabularnewline
beta & 3.77458483553649 \tabularnewline
S.D. & 1.70253457447356 \tabularnewline
T-STAT & 2.21703858008501 \tabularnewline
p-value & 0.0621482771416982 \tabularnewline
Lambda & -2.77458483553649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235544&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-17.8036753405781[/C][/ROW]
[ROW][C]beta[/C][C]3.77458483553649[/C][/ROW]
[ROW][C]S.D.[/C][C]1.70253457447356[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.21703858008501[/C][/ROW]
[ROW][C]p-value[/C][C]0.0621482771416982[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.77458483553649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235544&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235544&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	-17.8036753405781
beta	3.77458483553649
S.D.	1.70253457447356
T-STAT	2.21703858008501
p-value	0.0621482771416982
Lambda	-2.77458483553649

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code