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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

Mon, 17 May 2010 20:42:18 +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/17/t1274128983ej05c4brfgt88mg.htm/, Retrieved Sun, 05 May 2024 09:12:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76150, Retrieved Sun, 05 May 2024 09:12:58 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Opgave 8 oefening...] [2010-05-17 20:42:18] [8c87877ca0a068b5d9f0f8fa9cf6c0e7] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76150&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76150&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76150&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	29809.3333333333	9534.14643491615	29876
2	26911.9166666667	6314.13737660229	23731
3	25653	8306.22420510394	25331
4	23293.1666666667	4863.97725086885	15966
5	23712.25	6639.82068658484	22631
6	22142.25	5608.35850437865	19045
7	22916.1666666667	7303.06890452517	25139
8	23493.4166666667	5265.97727195892	18386
9	23700.3333333333	6731.20837906718	20425
10	21548.4166666667	3957.12736621204	13248

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 29809.3333333333 & 9534.14643491615 & 29876 \tabularnewline
2 & 26911.9166666667 & 6314.13737660229 & 23731 \tabularnewline
3 & 25653 & 8306.22420510394 & 25331 \tabularnewline
4 & 23293.1666666667 & 4863.97725086885 & 15966 \tabularnewline
5 & 23712.25 & 6639.82068658484 & 22631 \tabularnewline
6 & 22142.25 & 5608.35850437865 & 19045 \tabularnewline
7 & 22916.1666666667 & 7303.06890452517 & 25139 \tabularnewline
8 & 23493.4166666667 & 5265.97727195892 & 18386 \tabularnewline
9 & 23700.3333333333 & 6731.20837906718 & 20425 \tabularnewline
10 & 21548.4166666667 & 3957.12736621204 & 13248 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76150&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]29809.3333333333[/C][C]9534.14643491615[/C][C]29876[/C][/ROW]
[ROW][C]2[/C][C]26911.9166666667[/C][C]6314.13737660229[/C][C]23731[/C][/ROW]
[ROW][C]3[/C][C]25653[/C][C]8306.22420510394[/C][C]25331[/C][/ROW]
[ROW][C]4[/C][C]23293.1666666667[/C][C]4863.97725086885[/C][C]15966[/C][/ROW]
[ROW][C]5[/C][C]23712.25[/C][C]6639.82068658484[/C][C]22631[/C][/ROW]
[ROW][C]6[/C][C]22142.25[/C][C]5608.35850437865[/C][C]19045[/C][/ROW]
[ROW][C]7[/C][C]22916.1666666667[/C][C]7303.06890452517[/C][C]25139[/C][/ROW]
[ROW][C]8[/C][C]23493.4166666667[/C][C]5265.97727195892[/C][C]18386[/C][/ROW]
[ROW][C]9[/C][C]23700.3333333333[/C][C]6731.20837906718[/C][C]20425[/C][/ROW]
[ROW][C]10[/C][C]21548.4166666667[/C][C]3957.12736621204[/C][C]13248[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76150&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76150&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	29809.3333333333	9534.14643491615	29876
2	26911.9166666667	6314.13737660229	23731
3	25653	8306.22420510394	25331
4	23293.1666666667	4863.97725086885	15966
5	23712.25	6639.82068658484	22631
6	22142.25	5608.35850437865	19045
7	22916.1666666667	7303.06890452517	25139
8	23493.4166666667	5265.97727195892	18386
9	23700.3333333333	6731.20837906718	20425
10	21548.4166666667	3957.12736621204	13248

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-6213.66025263437
beta	0.520850886971955
S.D.	0.147016111359825
T-STAT	3.5428150163567
p-value	0.00758860169385224

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -6213.66025263437 \tabularnewline
beta & 0.520850886971955 \tabularnewline
S.D. & 0.147016111359825 \tabularnewline
T-STAT & 3.5428150163567 \tabularnewline
p-value & 0.00758860169385224 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76150&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6213.66025263437[/C][/ROW]
[ROW][C]beta[/C][C]0.520850886971955[/C][/ROW]
[ROW][C]S.D.[/C][C]0.147016111359825[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.5428150163567[/C][/ROW]
[ROW][C]p-value[/C][C]0.00758860169385224[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76150&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76150&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	-6213.66025263437
beta	0.520850886971955
S.D.	0.147016111359825
T-STAT	3.5428150163567
p-value	0.00758860169385224

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-11.4969735486343
beta	2.004971021227
S.D.	0.617382054728698
T-STAT	3.24753692769393
p-value	0.0117443077713138
Lambda	-1.004971021227

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.4969735486343 \tabularnewline
beta & 2.004971021227 \tabularnewline
S.D. & 0.617382054728698 \tabularnewline
T-STAT & 3.24753692769393 \tabularnewline
p-value & 0.0117443077713138 \tabularnewline
Lambda & -1.004971021227 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76150&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.4969735486343[/C][/ROW]
[ROW][C]beta[/C][C]2.004971021227[/C][/ROW]
[ROW][C]S.D.[/C][C]0.617382054728698[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.24753692769393[/C][/ROW]
[ROW][C]p-value[/C][C]0.0117443077713138[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.004971021227[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76150&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76150&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	-11.4969735486343
beta	2.004971021227
S.D.	0.617382054728698
T-STAT	3.24753692769393
p-value	0.0117443077713138
Lambda	-1.004971021227

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