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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

Tue, 22 Mar 2016 20:22:09 +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/2016/Mar/22/t1458678257ytzyica65b6kags.htm/, Retrieved Mon, 29 Apr 2024 13:43:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294467, Retrieved Mon, 29 Apr 2024 13:43:57 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2016-03-22 20:22:09] [ac7ea8eb5659db737c8f3ddefda617c5] [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	'Sir Maurice George Kendall' @ kendall.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 & 1 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294467&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294467&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	353.475	9.4511302835356	28.4
2	386.575	12.5154540832161	36.7
3	426.908333333333	10.3683485432904	32.8
4	461.325	10.8908739944798	31.7
5	498.258333333333	13.5248228577432	41.4999999999999
6	547.983333333333	13.3271311332343	40.1
7	497.85	113.880962572168	244
8	363.25	9.67438041239006	29.4
9	400.808333333333	13.5566460275081	40.4
10	437.883333333333	10.0973293798935	31.4
11	473.116666666667	9.91847067879221	30.5
12	514.35	15.9859881828374	46.4
13	560.55	9.42448455306225	28.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 353.475 & 9.4511302835356 & 28.4 \tabularnewline
2 & 386.575 & 12.5154540832161 & 36.7 \tabularnewline
3 & 426.908333333333 & 10.3683485432904 & 32.8 \tabularnewline
4 & 461.325 & 10.8908739944798 & 31.7 \tabularnewline
5 & 498.258333333333 & 13.5248228577432 & 41.4999999999999 \tabularnewline
6 & 547.983333333333 & 13.3271311332343 & 40.1 \tabularnewline
7 & 497.85 & 113.880962572168 & 244 \tabularnewline
8 & 363.25 & 9.67438041239006 & 29.4 \tabularnewline
9 & 400.808333333333 & 13.5566460275081 & 40.4 \tabularnewline
10 & 437.883333333333 & 10.0973293798935 & 31.4 \tabularnewline
11 & 473.116666666667 & 9.91847067879221 & 30.5 \tabularnewline
12 & 514.35 & 15.9859881828374 & 46.4 \tabularnewline
13 & 560.55 & 9.42448455306225 & 28.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294467&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]353.475[/C][C]9.4511302835356[/C][C]28.4[/C][/ROW]
[ROW][C]2[/C][C]386.575[/C][C]12.5154540832161[/C][C]36.7[/C][/ROW]
[ROW][C]3[/C][C]426.908333333333[/C][C]10.3683485432904[/C][C]32.8[/C][/ROW]
[ROW][C]4[/C][C]461.325[/C][C]10.8908739944798[/C][C]31.7[/C][/ROW]
[ROW][C]5[/C][C]498.258333333333[/C][C]13.5248228577432[/C][C]41.4999999999999[/C][/ROW]
[ROW][C]6[/C][C]547.983333333333[/C][C]13.3271311332343[/C][C]40.1[/C][/ROW]
[ROW][C]7[/C][C]497.85[/C][C]113.880962572168[/C][C]244[/C][/ROW]
[ROW][C]8[/C][C]363.25[/C][C]9.67438041239006[/C][C]29.4[/C][/ROW]
[ROW][C]9[/C][C]400.808333333333[/C][C]13.5566460275081[/C][C]40.4[/C][/ROW]
[ROW][C]10[/C][C]437.883333333333[/C][C]10.0973293798935[/C][C]31.4[/C][/ROW]
[ROW][C]11[/C][C]473.116666666667[/C][C]9.91847067879221[/C][C]30.5[/C][/ROW]
[ROW][C]12[/C][C]514.35[/C][C]15.9859881828374[/C][C]46.4[/C][/ROW]
[ROW][C]13[/C][C]560.55[/C][C]9.42448455306225[/C][C]28.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294467&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	353.475	9.4511302835356	28.4
2	386.575	12.5154540832161	36.7
3	426.908333333333	10.3683485432904	32.8
4	461.325	10.8908739944798	31.7
5	498.258333333333	13.5248228577432	41.4999999999999
6	547.983333333333	13.3271311332343	40.1
7	497.85	113.880962572168	244
8	363.25	9.67438041239006	29.4
9	400.808333333333	13.5566460275081	40.4
10	437.883333333333	10.0973293798935	31.4
11	473.116666666667	9.91847067879221	30.5
12	514.35	15.9859881828374	46.4
13	560.55	9.42448455306225	28.4

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-20.893547079698
beta	0.0885178366755602
S.D.	0.124103516050238
T-STAT	0.713258088833903
p-value	0.490541551927378

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -20.893547079698 \tabularnewline
beta & 0.0885178366755602 \tabularnewline
S.D. & 0.124103516050238 \tabularnewline
T-STAT & 0.713258088833903 \tabularnewline
p-value & 0.490541551927378 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294467&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-20.893547079698[/C][/ROW]
[ROW][C]beta[/C][C]0.0885178366755602[/C][/ROW]
[ROW][C]S.D.[/C][C]0.124103516050238[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.713258088833903[/C][/ROW]
[ROW][C]p-value[/C][C]0.490541551927378[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294467&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294467&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	-20.893547079698
beta	0.0885178366755602
S.D.	0.124103516050238
T-STAT	0.713258088833903
p-value	0.490541551927378

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.69707863825584
beta	1.19565914330491
S.D.	1.27192418048653
T-STAT	0.940039635733287
p-value	0.367381836301805
Lambda	-0.195659143304913

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.69707863825584 \tabularnewline
beta & 1.19565914330491 \tabularnewline
S.D. & 1.27192418048653 \tabularnewline
T-STAT & 0.940039635733287 \tabularnewline
p-value & 0.367381836301805 \tabularnewline
Lambda & -0.195659143304913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294467&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.69707863825584[/C][/ROW]
[ROW][C]beta[/C][C]1.19565914330491[/C][/ROW]
[ROW][C]S.D.[/C][C]1.27192418048653[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.940039635733287[/C][/ROW]
[ROW][C]p-value[/C][C]0.367381836301805[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.195659143304913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294467&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294467&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	-4.69707863825584
beta	1.19565914330491
S.D.	1.27192418048653
T-STAT	0.940039635733287
p-value	0.367381836301805
Lambda	-0.195659143304913

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