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Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Thu, 18 Dec 2014 16:20:21 +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/2014/Dec/18/t14189198272jn5met57jlfxjl.htm/, Retrieved Fri, 17 May 2024 00:32:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271119, Retrieved Fri, 17 May 2024 00:32:50 +0000

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

-       [Standard Deviation-Mean Plot] [] [2014-12-18 16:20:21] [d043def4c969c6fe6dac6c6c71a7875a] [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	6 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 & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271119&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]6 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=271119&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271119&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	6 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	13.6375	3.49500455195438	11.8
2	13.7083333333333	3.02285486174105	10.6
3	14.5458333333333	3.32685070390311	12.3
4	14.2125	2.55735347931838	8.5
5	16.1916666666667	2.92589017793446	8.55
6	13.1416666666667	4.93318232774625	14.95
7	15.0291666666667	2.73624313889528	8.1
8	14.3875	2.91103894293304	11.1
9	14.8875	2.53342429063188	7.7
10	15.4916666666667	1.6750621879003	6
11	12.45	3.41207747967023	11.35
12	14.7916666666667	2.3955292955964	8.55
13	15.6958333333333	1.80648558021235	5.55
14	15.4375	2.73795917693187	9.6

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 13.6375 & 3.49500455195438 & 11.8 \tabularnewline
2 & 13.7083333333333 & 3.02285486174105 & 10.6 \tabularnewline
3 & 14.5458333333333 & 3.32685070390311 & 12.3 \tabularnewline
4 & 14.2125 & 2.55735347931838 & 8.5 \tabularnewline
5 & 16.1916666666667 & 2.92589017793446 & 8.55 \tabularnewline
6 & 13.1416666666667 & 4.93318232774625 & 14.95 \tabularnewline
7 & 15.0291666666667 & 2.73624313889528 & 8.1 \tabularnewline
8 & 14.3875 & 2.91103894293304 & 11.1 \tabularnewline
9 & 14.8875 & 2.53342429063188 & 7.7 \tabularnewline
10 & 15.4916666666667 & 1.6750621879003 & 6 \tabularnewline
11 & 12.45 & 3.41207747967023 & 11.35 \tabularnewline
12 & 14.7916666666667 & 2.3955292955964 & 8.55 \tabularnewline
13 & 15.6958333333333 & 1.80648558021235 & 5.55 \tabularnewline
14 & 15.4375 & 2.73795917693187 & 9.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271119&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]13.6375[/C][C]3.49500455195438[/C][C]11.8[/C][/ROW]
[ROW][C]2[/C][C]13.7083333333333[/C][C]3.02285486174105[/C][C]10.6[/C][/ROW]
[ROW][C]3[/C][C]14.5458333333333[/C][C]3.32685070390311[/C][C]12.3[/C][/ROW]
[ROW][C]4[/C][C]14.2125[/C][C]2.55735347931838[/C][C]8.5[/C][/ROW]
[ROW][C]5[/C][C]16.1916666666667[/C][C]2.92589017793446[/C][C]8.55[/C][/ROW]
[ROW][C]6[/C][C]13.1416666666667[/C][C]4.93318232774625[/C][C]14.95[/C][/ROW]
[ROW][C]7[/C][C]15.0291666666667[/C][C]2.73624313889528[/C][C]8.1[/C][/ROW]
[ROW][C]8[/C][C]14.3875[/C][C]2.91103894293304[/C][C]11.1[/C][/ROW]
[ROW][C]9[/C][C]14.8875[/C][C]2.53342429063188[/C][C]7.7[/C][/ROW]
[ROW][C]10[/C][C]15.4916666666667[/C][C]1.6750621879003[/C][C]6[/C][/ROW]
[ROW][C]11[/C][C]12.45[/C][C]3.41207747967023[/C][C]11.35[/C][/ROW]
[ROW][C]12[/C][C]14.7916666666667[/C][C]2.3955292955964[/C][C]8.55[/C][/ROW]
[ROW][C]13[/C][C]15.6958333333333[/C][C]1.80648558021235[/C][C]5.55[/C][/ROW]
[ROW][C]14[/C][C]15.4375[/C][C]2.73795917693187[/C][C]9.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271119&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271119&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	13.6375	3.49500455195438	11.8
2	13.7083333333333	3.02285486174105	10.6
3	14.5458333333333	3.32685070390311	12.3
4	14.2125	2.55735347931838	8.5
5	16.1916666666667	2.92589017793446	8.55
6	13.1416666666667	4.93318232774625	14.95
7	15.0291666666667	2.73624313889528	8.1
8	14.3875	2.91103894293304	11.1
9	14.8875	2.53342429063188	7.7
10	15.4916666666667	1.6750621879003	6
11	12.45	3.41207747967023	11.35
12	14.7916666666667	2.3955292955964	8.55
13	15.6958333333333	1.80648558021235	5.55
14	15.4375	2.73795917693187	9.6

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	10.3950455771784
beta	-0.515998928752727
S.D.	0.161524505872008
T-STAT	-3.19455506746205
p-value	0.00771005822367447

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 10.3950455771784 \tabularnewline
beta & -0.515998928752727 \tabularnewline
S.D. & 0.161524505872008 \tabularnewline
T-STAT & -3.19455506746205 \tabularnewline
p-value & 0.00771005822367447 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271119&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.3950455771784[/C][/ROW]
[ROW][C]beta[/C][C]-0.515998928752727[/C][/ROW]
[ROW][C]S.D.[/C][C]0.161524505872008[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.19455506746205[/C][/ROW]
[ROW][C]p-value[/C][C]0.00771005822367447[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271119&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271119&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	10.3950455771784
beta	-0.515998928752727
S.D.	0.161524505872008
T-STAT	-3.19455506746205
p-value	0.00771005822367447

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.71234523707701
beta	-2.49921056306736
S.D.	0.785458599967937
T-STAT	-3.18184887550965
p-value	0.0078940561133894
Lambda	3.49921056306736

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.71234523707701 \tabularnewline
beta & -2.49921056306736 \tabularnewline
S.D. & 0.785458599967937 \tabularnewline
T-STAT & -3.18184887550965 \tabularnewline
p-value & 0.0078940561133894 \tabularnewline
Lambda & 3.49921056306736 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271119&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.71234523707701[/C][/ROW]
[ROW][C]beta[/C][C]-2.49921056306736[/C][/ROW]
[ROW][C]S.D.[/C][C]0.785458599967937[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.18184887550965[/C][/ROW]
[ROW][C]p-value[/C][C]0.0078940561133894[/C][/ROW]
[ROW][C]Lambda[/C][C]3.49921056306736[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271119&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271119&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	7.71234523707701
beta	-2.49921056306736
S.D.	0.785458599967937
T-STAT	-3.18184887550965
p-value	0.0078940561133894
Lambda	3.49921056306736

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code