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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, 20 May 2011 07:13:06 +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/2011/May/20/t13058753771jqxrqljo3nm0eu.htm/, Retrieved Sun, 12 May 2024 20:21:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122422, Retrieved Sun, 12 May 2024 20:21:13 +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] [] [2011-05-20 07:13:06] [31b126aa1b32aa85c8fd6bf40153b92b] [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	'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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122422&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122422&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122422&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	18502.575	1676.62096168653	3594.8
2	17977.575	1239.37564489813	2776.2
3	16388.825	1702.90678816154	3748.9
4	15213.725	1797.39229139514	3715.8
5	14514.15	773.593107949306	1811.9
6	14315.475	544.447024512028	1300.3
7	17962.85	2416.83774314013	4721.2
8	20133.975	592.337625429957	1279.7
9	18359.75	1273.11140256198	2739.7
10	18509.925	1789.61398328429	4322.3
11	18244.3	868.330831730243	2117.8
12	17560.55	1509.84272138966	3613.5
13	17474.775	1753.1253071301	3614.6
14	17124.475	1219.52086595515	2425.8
15	17219.775	1565.73598535428	3355.3
16	16247.2	1765.04310995511	3767.2
17	15966.4	949.69111118651	2245.1
18	15531.15	1280.44513744244	2868.7
19	14911.05	1724.59288046	3582.9
20	14730.15	932.272429782911	2173.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 18502.575 & 1676.62096168653 & 3594.8 \tabularnewline
2 & 17977.575 & 1239.37564489813 & 2776.2 \tabularnewline
3 & 16388.825 & 1702.90678816154 & 3748.9 \tabularnewline
4 & 15213.725 & 1797.39229139514 & 3715.8 \tabularnewline
5 & 14514.15 & 773.593107949306 & 1811.9 \tabularnewline
6 & 14315.475 & 544.447024512028 & 1300.3 \tabularnewline
7 & 17962.85 & 2416.83774314013 & 4721.2 \tabularnewline
8 & 20133.975 & 592.337625429957 & 1279.7 \tabularnewline
9 & 18359.75 & 1273.11140256198 & 2739.7 \tabularnewline
10 & 18509.925 & 1789.61398328429 & 4322.3 \tabularnewline
11 & 18244.3 & 868.330831730243 & 2117.8 \tabularnewline
12 & 17560.55 & 1509.84272138966 & 3613.5 \tabularnewline
13 & 17474.775 & 1753.1253071301 & 3614.6 \tabularnewline
14 & 17124.475 & 1219.52086595515 & 2425.8 \tabularnewline
15 & 17219.775 & 1565.73598535428 & 3355.3 \tabularnewline
16 & 16247.2 & 1765.04310995511 & 3767.2 \tabularnewline
17 & 15966.4 & 949.69111118651 & 2245.1 \tabularnewline
18 & 15531.15 & 1280.44513744244 & 2868.7 \tabularnewline
19 & 14911.05 & 1724.59288046 & 3582.9 \tabularnewline
20 & 14730.15 & 932.272429782911 & 2173.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122422&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]18502.575[/C][C]1676.62096168653[/C][C]3594.8[/C][/ROW]
[ROW][C]2[/C][C]17977.575[/C][C]1239.37564489813[/C][C]2776.2[/C][/ROW]
[ROW][C]3[/C][C]16388.825[/C][C]1702.90678816154[/C][C]3748.9[/C][/ROW]
[ROW][C]4[/C][C]15213.725[/C][C]1797.39229139514[/C][C]3715.8[/C][/ROW]
[ROW][C]5[/C][C]14514.15[/C][C]773.593107949306[/C][C]1811.9[/C][/ROW]
[ROW][C]6[/C][C]14315.475[/C][C]544.447024512028[/C][C]1300.3[/C][/ROW]
[ROW][C]7[/C][C]17962.85[/C][C]2416.83774314013[/C][C]4721.2[/C][/ROW]
[ROW][C]8[/C][C]20133.975[/C][C]592.337625429957[/C][C]1279.7[/C][/ROW]
[ROW][C]9[/C][C]18359.75[/C][C]1273.11140256198[/C][C]2739.7[/C][/ROW]
[ROW][C]10[/C][C]18509.925[/C][C]1789.61398328429[/C][C]4322.3[/C][/ROW]
[ROW][C]11[/C][C]18244.3[/C][C]868.330831730243[/C][C]2117.8[/C][/ROW]
[ROW][C]12[/C][C]17560.55[/C][C]1509.84272138966[/C][C]3613.5[/C][/ROW]
[ROW][C]13[/C][C]17474.775[/C][C]1753.1253071301[/C][C]3614.6[/C][/ROW]
[ROW][C]14[/C][C]17124.475[/C][C]1219.52086595515[/C][C]2425.8[/C][/ROW]
[ROW][C]15[/C][C]17219.775[/C][C]1565.73598535428[/C][C]3355.3[/C][/ROW]
[ROW][C]16[/C][C]16247.2[/C][C]1765.04310995511[/C][C]3767.2[/C][/ROW]
[ROW][C]17[/C][C]15966.4[/C][C]949.69111118651[/C][C]2245.1[/C][/ROW]
[ROW][C]18[/C][C]15531.15[/C][C]1280.44513744244[/C][C]2868.7[/C][/ROW]
[ROW][C]19[/C][C]14911.05[/C][C]1724.59288046[/C][C]3582.9[/C][/ROW]
[ROW][C]20[/C][C]14730.15[/C][C]932.272429782911[/C][C]2173.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122422&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122422&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	18502.575	1676.62096168653	3594.8
2	17977.575	1239.37564489813	2776.2
3	16388.825	1702.90678816154	3748.9
4	15213.725	1797.39229139514	3715.8
5	14514.15	773.593107949306	1811.9
6	14315.475	544.447024512028	1300.3
7	17962.85	2416.83774314013	4721.2
8	20133.975	592.337625429957	1279.7
9	18359.75	1273.11140256198	2739.7
10	18509.925	1789.61398328429	4322.3
11	18244.3	868.330831730243	2117.8
12	17560.55	1509.84272138966	3613.5
13	17474.775	1753.1253071301	3614.6
14	17124.475	1219.52086595515	2425.8
15	17219.775	1565.73598535428	3355.3
16	16247.2	1765.04310995511	3767.2
17	15966.4	949.69111118651	2245.1
18	15531.15	1280.44513744244	2868.7
19	14911.05	1724.59288046	3582.9
20	14730.15	932.272429782911	2173.1

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	588.985679360323
beta	0.0462916259309982
S.D.	0.0695716735312399
T-STAT	0.665380370794326
p-value	0.51424365338018

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 588.985679360323 \tabularnewline
beta & 0.0462916259309982 \tabularnewline
S.D. & 0.0695716735312399 \tabularnewline
T-STAT & 0.665380370794326 \tabularnewline
p-value & 0.51424365338018 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122422&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]588.985679360323[/C][/ROW]
[ROW][C]beta[/C][C]0.0462916259309982[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0695716735312399[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.665380370794326[/C][/ROW]
[ROW][C]p-value[/C][C]0.51424365338018[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122422&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122422&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	588.985679360323
beta	0.0462916259309982
S.D.	0.0695716735312399
T-STAT	0.665380370794326
p-value	0.51424365338018

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.0233037300502274
beta	0.732853995657858
S.D.	0.961506609242313
T-STAT	0.762193404198607
p-value	0.455816765918754
Lambda	0.267146004342142

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0233037300502274 \tabularnewline
beta & 0.732853995657858 \tabularnewline
S.D. & 0.961506609242313 \tabularnewline
T-STAT & 0.762193404198607 \tabularnewline
p-value & 0.455816765918754 \tabularnewline
Lambda & 0.267146004342142 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122422&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0233037300502274[/C][/ROW]
[ROW][C]beta[/C][C]0.732853995657858[/C][/ROW]
[ROW][C]S.D.[/C][C]0.961506609242313[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.762193404198607[/C][/ROW]
[ROW][C]p-value[/C][C]0.455816765918754[/C][/ROW]
[ROW][C]Lambda[/C][C]0.267146004342142[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122422&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122422&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	0.0233037300502274
beta	0.732853995657858
S.D.	0.961506609242313
T-STAT	0.762193404198607
p-value	0.455816765918754
Lambda	0.267146004342142

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