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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

Fri, 30 Nov 2012 03:43:19 -0500

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/2012/Nov/30/t13542650209lyib3dh8if84kc.htm/, Retrieved Fri, 03 May 2024 22:16:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194827, Retrieved Fri, 03 May 2024 22:16:07 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Standard Deviation-Mean Plot] [] [2012-11-30 08:33:00] [863c7e293af37539f527e2425193e5f5]
-    D    [Standard Deviation-Mean Plot] [] [2012-11-30 08:43:19] [72b460291cf9216c25149e3abf0bc35d] [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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194827&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194827&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194827&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1	0.0120604537831106	0.04
2	1.03916666666667	0.0202072594216369	0.0700000000000001
3	1.10083333333333	0.0137895436890245	0.0499999999999998
4	1.13833333333333	0.00717740562565274	0.02
5	1.15833333333333	0.00834847109936723	0.02
6	1.21	0.014142135623731	0.05

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1 & 0.0120604537831106 & 0.04 \tabularnewline
2 & 1.03916666666667 & 0.0202072594216369 & 0.0700000000000001 \tabularnewline
3 & 1.10083333333333 & 0.0137895436890245 & 0.0499999999999998 \tabularnewline
4 & 1.13833333333333 & 0.00717740562565274 & 0.02 \tabularnewline
5 & 1.15833333333333 & 0.00834847109936723 & 0.02 \tabularnewline
6 & 1.21 & 0.014142135623731 & 0.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194827&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]1[/C][C]0.0120604537831106[/C][C]0.04[/C][/ROW]
[ROW][C]2[/C][C]1.03916666666667[/C][C]0.0202072594216369[/C][C]0.0700000000000001[/C][/ROW]
[ROW][C]3[/C][C]1.10083333333333[/C][C]0.0137895436890245[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]4[/C][C]1.13833333333333[/C][C]0.00717740562565274[/C][C]0.02[/C][/ROW]
[ROW][C]5[/C][C]1.15833333333333[/C][C]0.00834847109936723[/C][C]0.02[/C][/ROW]
[ROW][C]6[/C][C]1.21[/C][C]0.014142135623731[/C][C]0.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194827&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194827&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	1	0.0120604537831106	0.04
2	1.03916666666667	0.0202072594216369	0.0700000000000001
3	1.10083333333333	0.0137895436890245	0.0499999999999998
4	1.13833333333333	0.00717740562565274	0.02
5	1.15833333333333	0.00834847109936723	0.02
6	1.21	0.014142135623731	0.05

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0380228529477699
beta	-0.0229305689735351
S.D.	0.027769322974894
T-STAT	-0.825751819526402
p-value	0.45534834592375

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0380228529477699 \tabularnewline
beta & -0.0229305689735351 \tabularnewline
S.D. & 0.027769322974894 \tabularnewline
T-STAT & -0.825751819526402 \tabularnewline
p-value & 0.45534834592375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194827&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0380228529477699[/C][/ROW]
[ROW][C]beta[/C][C]-0.0229305689735351[/C][/ROW]
[ROW][C]S.D.[/C][C]0.027769322974894[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.825751819526402[/C][/ROW]
[ROW][C]p-value[/C][C]0.45534834592375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194827&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194827&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	0.0380228529477699
beta	-0.0229305689735351
S.D.	0.027769322974894
T-STAT	-0.825751819526402
p-value	0.45534834592375

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.22905874643868
beta	-2.01132062886973
S.D.	2.4684917691844
T-STAT	-0.814797381128914
p-value	0.460918236706322
Lambda	3.01132062886973

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.22905874643868 \tabularnewline
beta & -2.01132062886973 \tabularnewline
S.D. & 2.4684917691844 \tabularnewline
T-STAT & -0.814797381128914 \tabularnewline
p-value & 0.460918236706322 \tabularnewline
Lambda & 3.01132062886973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194827&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.22905874643868[/C][/ROW]
[ROW][C]beta[/C][C]-2.01132062886973[/C][/ROW]
[ROW][C]S.D.[/C][C]2.4684917691844[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.814797381128914[/C][/ROW]
[ROW][C]p-value[/C][C]0.460918236706322[/C][/ROW]
[ROW][C]Lambda[/C][C]3.01132062886973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194827&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194827&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	-4.22905874643868
beta	-2.01132062886973
S.D.	2.4684917691844
T-STAT	-0.814797381128914
p-value	0.460918236706322
Lambda	3.01132062886973

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code