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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, 26 May 2010 22:15:23 +0000

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/2010/May/27/t1274912387mc8zdoaavx432y8.htm/, Retrieved Thu, 02 May 2024 07:19:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76582, Retrieved Thu, 02 May 2024 07:19:10 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

163

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

-       [Standard Deviation-Mean Plot] [Wisselkoersen] [2010-05-26 22:15:23] [518b58fa2b091d980a743b3df0de830f] [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	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=76582&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=76582&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76582&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	1.4654	0.028364766877237	0.0642
2	1.42335	0.0243296115875285	0.0546
3	1.316875	0.0362131997113392	0.0865
4	1.31855	0.0314424871789748	0.0716999999999999
5	1.516675	0.0628827679098176	0.1401
6	1.53955	0.0442832172875157	0.100200000000000
7	1.454975	0.0224283117212746	0.0490999999999999
8	1.366325	0.0198590659397666	0.0476999999999999
9	1.333575	0.0216413762655397	0.0442
10	1.2926	0.0250963476758405	0.0601999999999998
11	1.2718	0.00695461477485752	0.0161
12	1.224975	0.0374648613147484	0.0832
13	1.194	0.0144874658469542	0.0316999999999998
14	1.21875	0.0113679373678782	0.0255000000000001
15	1.296175	0.0209940269283114	0.0507
16	1.3002	0.0383314492290599	0.0917999999999999
17	1.21995	0.00550726792520571	0.0127999999999999
18	1.2225	0.0307535363820163	0.0661

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.4654 & 0.028364766877237 & 0.0642 \tabularnewline
2 & 1.42335 & 0.0243296115875285 & 0.0546 \tabularnewline
3 & 1.316875 & 0.0362131997113392 & 0.0865 \tabularnewline
4 & 1.31855 & 0.0314424871789748 & 0.0716999999999999 \tabularnewline
5 & 1.516675 & 0.0628827679098176 & 0.1401 \tabularnewline
6 & 1.53955 & 0.0442832172875157 & 0.100200000000000 \tabularnewline
7 & 1.454975 & 0.0224283117212746 & 0.0490999999999999 \tabularnewline
8 & 1.366325 & 0.0198590659397666 & 0.0476999999999999 \tabularnewline
9 & 1.333575 & 0.0216413762655397 & 0.0442 \tabularnewline
10 & 1.2926 & 0.0250963476758405 & 0.0601999999999998 \tabularnewline
11 & 1.2718 & 0.00695461477485752 & 0.0161 \tabularnewline
12 & 1.224975 & 0.0374648613147484 & 0.0832 \tabularnewline
13 & 1.194 & 0.0144874658469542 & 0.0316999999999998 \tabularnewline
14 & 1.21875 & 0.0113679373678782 & 0.0255000000000001 \tabularnewline
15 & 1.296175 & 0.0209940269283114 & 0.0507 \tabularnewline
16 & 1.3002 & 0.0383314492290599 & 0.0917999999999999 \tabularnewline
17 & 1.21995 & 0.00550726792520571 & 0.0127999999999999 \tabularnewline
18 & 1.2225 & 0.0307535363820163 & 0.0661 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76582&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]1.4654[/C][C]0.028364766877237[/C][C]0.0642[/C][/ROW]
[ROW][C]2[/C][C]1.42335[/C][C]0.0243296115875285[/C][C]0.0546[/C][/ROW]
[ROW][C]3[/C][C]1.316875[/C][C]0.0362131997113392[/C][C]0.0865[/C][/ROW]
[ROW][C]4[/C][C]1.31855[/C][C]0.0314424871789748[/C][C]0.0716999999999999[/C][/ROW]
[ROW][C]5[/C][C]1.516675[/C][C]0.0628827679098176[/C][C]0.1401[/C][/ROW]
[ROW][C]6[/C][C]1.53955[/C][C]0.0442832172875157[/C][C]0.100200000000000[/C][/ROW]
[ROW][C]7[/C][C]1.454975[/C][C]0.0224283117212746[/C][C]0.0490999999999999[/C][/ROW]
[ROW][C]8[/C][C]1.366325[/C][C]0.0198590659397666[/C][C]0.0476999999999999[/C][/ROW]
[ROW][C]9[/C][C]1.333575[/C][C]0.0216413762655397[/C][C]0.0442[/C][/ROW]
[ROW][C]10[/C][C]1.2926[/C][C]0.0250963476758405[/C][C]0.0601999999999998[/C][/ROW]
[ROW][C]11[/C][C]1.2718[/C][C]0.00695461477485752[/C][C]0.0161[/C][/ROW]
[ROW][C]12[/C][C]1.224975[/C][C]0.0374648613147484[/C][C]0.0832[/C][/ROW]
[ROW][C]13[/C][C]1.194[/C][C]0.0144874658469542[/C][C]0.0316999999999998[/C][/ROW]
[ROW][C]14[/C][C]1.21875[/C][C]0.0113679373678782[/C][C]0.0255000000000001[/C][/ROW]
[ROW][C]15[/C][C]1.296175[/C][C]0.0209940269283114[/C][C]0.0507[/C][/ROW]
[ROW][C]16[/C][C]1.3002[/C][C]0.0383314492290599[/C][C]0.0917999999999999[/C][/ROW]
[ROW][C]17[/C][C]1.21995[/C][C]0.00550726792520571[/C][C]0.0127999999999999[/C][/ROW]
[ROW][C]18[/C][C]1.2225[/C][C]0.0307535363820163[/C][C]0.0661[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76582&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76582&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	1.4654	0.028364766877237	0.0642
2	1.42335	0.0243296115875285	0.0546
3	1.316875	0.0362131997113392	0.0865
4	1.31855	0.0314424871789748	0.0716999999999999
5	1.516675	0.0628827679098176	0.1401
6	1.53955	0.0442832172875157	0.100200000000000
7	1.454975	0.0224283117212746	0.0490999999999999
8	1.366325	0.0198590659397666	0.0476999999999999
9	1.333575	0.0216413762655397	0.0442
10	1.2926	0.0250963476758405	0.0601999999999998
11	1.2718	0.00695461477485752	0.0161
12	1.224975	0.0374648613147484	0.0832
13	1.194	0.0144874658469542	0.0316999999999998
14	1.21875	0.0113679373678782	0.0255000000000001
15	1.296175	0.0209940269283114	0.0507
16	1.3002	0.0383314492290599	0.0917999999999999
17	1.21995	0.00550726792520571	0.0127999999999999
18	1.2225	0.0307535363820163	0.0661

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.073065128165611
beta	0.0749732127932927
S.D.	0.0268758728076055
T-STAT	2.78961034419229
p-value	0.0131194575777874

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.073065128165611 \tabularnewline
beta & 0.0749732127932927 \tabularnewline
S.D. & 0.0268758728076055 \tabularnewline
T-STAT & 2.78961034419229 \tabularnewline
p-value & 0.0131194575777874 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76582&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.073065128165611[/C][/ROW]
[ROW][C]beta[/C][C]0.0749732127932927[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0268758728076055[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.78961034419229[/C][/ROW]
[ROW][C]p-value[/C][C]0.0131194575777874[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76582&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76582&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	-0.073065128165611
beta	0.0749732127932927
S.D.	0.0268758728076055
T-STAT	2.78961034419229
p-value	0.0131194575777874

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.97855912842922
beta	4.2427622748653
S.D.	1.66143116180192
T-STAT	2.55367924498525
p-value	0.0212446077728807
Lambda	-3.2427622748653

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.97855912842922 \tabularnewline
beta & 4.2427622748653 \tabularnewline
S.D. & 1.66143116180192 \tabularnewline
T-STAT & 2.55367924498525 \tabularnewline
p-value & 0.0212446077728807 \tabularnewline
Lambda & -3.2427622748653 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76582&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.97855912842922[/C][/ROW]
[ROW][C]beta[/C][C]4.2427622748653[/C][/ROW]
[ROW][C]S.D.[/C][C]1.66143116180192[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.55367924498525[/C][/ROW]
[ROW][C]p-value[/C][C]0.0212446077728807[/C][/ROW]
[ROW][C]Lambda[/C][C]-3.2427622748653[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76582&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76582&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	-4.97855912842922
beta	4.2427622748653
S.D.	1.66143116180192
T-STAT	2.55367924498525
p-value	0.0212446077728807
Lambda	-3.2427622748653

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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