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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 04 Dec 2009 07:03:30 -0700

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/2009/Dec/04/t1259935486stxyjvbxx8plndw.htm/, Retrieved Sat, 27 Apr 2024 15:18:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63545, Retrieved Sat, 27 Apr 2024 15:18:19 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

ETP(26)

Estimated Impact

114

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

-       [Standard Deviation-Mean Plot] [Paper statistiek:...] [2009-12-04 14:03:30] [af31b947d6acaef3c71f428c4bb503e9] [Current]

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Dataseries X:

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Histogram

Boxplots

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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	1 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=63545&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=63545&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63545&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	0.518333333333333	0.00717740562565274	0.02
2	0.525833333333333	0.0079296146109876	0.02
3	0.536666666666667	0.00492365963917331	0.01
4	0.549166666666667	0.0079296146109876	0.03
5	0.554166666666667	0.00514928650544438	0.01

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.518333333333333 & 0.00717740562565274 & 0.02 \tabularnewline
2 & 0.525833333333333 & 0.0079296146109876 & 0.02 \tabularnewline
3 & 0.536666666666667 & 0.00492365963917331 & 0.01 \tabularnewline
4 & 0.549166666666667 & 0.0079296146109876 & 0.03 \tabularnewline
5 & 0.554166666666667 & 0.00514928650544438 & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63545&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]0.518333333333333[/C][C]0.00717740562565274[/C][C]0.02[/C][/ROW]
[ROW][C]2[/C][C]0.525833333333333[/C][C]0.0079296146109876[/C][C]0.02[/C][/ROW]
[ROW][C]3[/C][C]0.536666666666667[/C][C]0.00492365963917331[/C][C]0.01[/C][/ROW]
[ROW][C]4[/C][C]0.549166666666667[/C][C]0.0079296146109876[/C][C]0.03[/C][/ROW]
[ROW][C]5[/C][C]0.554166666666667[/C][C]0.00514928650544438[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63545&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63545&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	0.518333333333333	0.00717740562565274	0.02
2	0.525833333333333	0.0079296146109876	0.02
3	0.536666666666667	0.00492365963917331	0.01
4	0.549166666666667	0.0079296146109876	0.03
5	0.554166666666667	0.00514928650544438	0.01

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0264200726560566
beta	-0.0368795214981821
S.D.	0.0523716273096048
T-STAT	-0.704188954835446
p-value	0.532055480195895

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0264200726560566 \tabularnewline
beta & -0.0368795214981821 \tabularnewline
S.D. & 0.0523716273096048 \tabularnewline
T-STAT & -0.704188954835446 \tabularnewline
p-value & 0.532055480195895 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63545&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0264200726560566[/C][/ROW]
[ROW][C]beta[/C][C]-0.0368795214981821[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0523716273096048[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.704188954835446[/C][/ROW]
[ROW][C]p-value[/C][C]0.532055480195895[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63545&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63545&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	0.0264200726560566
beta	-0.0368795214981821
S.D.	0.0523716273096048
T-STAT	-0.704188954835446
p-value	0.532055480195895

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-7.07127563499209
beta	-3.26571047562686
S.D.	4.41626328878763
T-STAT	-0.739473682177896
p-value	0.513226193589392
Lambda	4.26571047562686

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.07127563499209 \tabularnewline
beta & -3.26571047562686 \tabularnewline
S.D. & 4.41626328878763 \tabularnewline
T-STAT & -0.739473682177896 \tabularnewline
p-value & 0.513226193589392 \tabularnewline
Lambda & 4.26571047562686 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63545&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.07127563499209[/C][/ROW]
[ROW][C]beta[/C][C]-3.26571047562686[/C][/ROW]
[ROW][C]S.D.[/C][C]4.41626328878763[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.739473682177896[/C][/ROW]
[ROW][C]p-value[/C][C]0.513226193589392[/C][/ROW]
[ROW][C]Lambda[/C][C]4.26571047562686[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63545&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63545&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	-7.07127563499209
beta	-3.26571047562686
S.D.	4.41626328878763
T-STAT	-0.739473682177896
p-value	0.513226193589392
Lambda	4.26571047562686

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code