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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 16 Aug 2015 15:49:00 +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/2015/Aug/16/t14397365718c7yx0j88eew8ls.htm/, Retrieved Sun, 19 May 2024 13:56:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280160, Retrieved Sun, 19 May 2024 13:56:21 +0000

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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)

-     [Harrell-Davis Quantiles] [] [2015-08-16 11:51:51] [5343960adb8d445e466af62727587ca0]
- RMP   [(Partial) Autocorrelation Function] [] [2015-08-16 14:18:56] [5343960adb8d445e466af62727587ca0]
- R P     [(Partial) Autocorrelation Function] [] [2015-08-16 14:25:26] [5343960adb8d445e466af62727587ca0]
- RMP         [Standard Deviation-Mean Plot] [] [2015-08-16 14:49:00] [4168690ed296bafce351d6d353c439d5] [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=280160&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=280160&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280160&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	5174760.5	175363.924569606	523068
2	5265214.5	186072.91920569	602784
3	5402624.5	182513.844466909	583401
4	5575183.25	186735.935248938	643734
5	5406196.25	307509.341140935	1104831
6	4920483.75	366633.707849507	1266174
7	4426308.25	301511.132015545	1085175
8	3751338.5	420238.753286856	1526616
9	3270631	469252.938131355	1567566
10	2607354.75	519333.588594097	1789242

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5174760.5 & 175363.924569606 & 523068 \tabularnewline
2 & 5265214.5 & 186072.91920569 & 602784 \tabularnewline
3 & 5402624.5 & 182513.844466909 & 583401 \tabularnewline
4 & 5575183.25 & 186735.935248938 & 643734 \tabularnewline
5 & 5406196.25 & 307509.341140935 & 1104831 \tabularnewline
6 & 4920483.75 & 366633.707849507 & 1266174 \tabularnewline
7 & 4426308.25 & 301511.132015545 & 1085175 \tabularnewline
8 & 3751338.5 & 420238.753286856 & 1526616 \tabularnewline
9 & 3270631 & 469252.938131355 & 1567566 \tabularnewline
10 & 2607354.75 & 519333.588594097 & 1789242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280160&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]5174760.5[/C][C]175363.924569606[/C][C]523068[/C][/ROW]
[ROW][C]2[/C][C]5265214.5[/C][C]186072.91920569[/C][C]602784[/C][/ROW]
[ROW][C]3[/C][C]5402624.5[/C][C]182513.844466909[/C][C]583401[/C][/ROW]
[ROW][C]4[/C][C]5575183.25[/C][C]186735.935248938[/C][C]643734[/C][/ROW]
[ROW][C]5[/C][C]5406196.25[/C][C]307509.341140935[/C][C]1104831[/C][/ROW]
[ROW][C]6[/C][C]4920483.75[/C][C]366633.707849507[/C][C]1266174[/C][/ROW]
[ROW][C]7[/C][C]4426308.25[/C][C]301511.132015545[/C][C]1085175[/C][/ROW]
[ROW][C]8[/C][C]3751338.5[/C][C]420238.753286856[/C][C]1526616[/C][/ROW]
[ROW][C]9[/C][C]3270631[/C][C]469252.938131355[/C][C]1567566[/C][/ROW]
[ROW][C]10[/C][C]2607354.75[/C][C]519333.588594097[/C][C]1789242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280160&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280160&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	5174760.5	175363.924569606	523068
2	5265214.5	186072.91920569	602784
3	5402624.5	182513.844466909	583401
4	5575183.25	186735.935248938	643734
5	5406196.25	307509.341140935	1104831
6	4920483.75	366633.707849507	1266174
7	4426308.25	301511.132015545	1085175
8	3751338.5	420238.753286856	1526616
9	3270631	469252.938131355	1567566
10	2607354.75	519333.588594097	1789242

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	829752.894585645
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073617

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 829752.894585645 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777213 \tabularnewline
p-value & 0.000293686871073617 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280160&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]829752.894585645[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362386[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777213[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073617[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280160&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280160&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	829752.894585645
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073617

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	33.7871988236772
beta	-1.38589065989076
S.D.	0.316605261909547
T-STAT	-4.37734563074542
p-value	0.00235715681397511
Lambda	2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 33.7871988236772 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909547 \tabularnewline
T-STAT & -4.37734563074542 \tabularnewline
p-value & 0.00235715681397511 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280160&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]33.7871988236772[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909547[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074542[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397511[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280160&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280160&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	33.7871988236772
beta	-1.38589065989076
S.D.	0.316605261909547
T-STAT	-4.37734563074542
p-value	0.00235715681397511
Lambda	2.38589065989076

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