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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 19 Mar 2016 14:29:41 +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/19/t145839807842neuvswsvivfyb.htm/, Retrieved Tue, 07 May 2024 09:45:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294319, Retrieved Tue, 07 May 2024 09:45:39 +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] [] [2016-03-19 14:29:41] [3e335ee00fe90bc89d5a716289abc4a1] [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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294319&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294319&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7204.41666666667	509.330301533893	1444
2	6711.83333333333	558.291359797232	1692
3	6704.58333333333	574.557293342738	1730
4	7524.66666666667	597.876596165483	1689
5	8066.91666666667	516.302141691424	1612
6	8187	550.267373027133	1646
7	8304	540.264245111089	1579
8	7912.16666666667	513.257127361987	1551
9	7274.75	351.445359777435	1004
10	6993.91666666667	440.859998047893	1245
11	7759.5	436.531056897861	1259
12	8246.91666666667	317.634283223313	1106
13	7638.66666666667	364.182604879708	1146
14	7655.83333333333	370.225443193575	962
15	7574.83333333333	397.634558890751	1301
16	7027.58333333333	464.781954416816	1378
17	6114.83333333333	512.875464829663	1632

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7204.41666666667 & 509.330301533893 & 1444 \tabularnewline
2 & 6711.83333333333 & 558.291359797232 & 1692 \tabularnewline
3 & 6704.58333333333 & 574.557293342738 & 1730 \tabularnewline
4 & 7524.66666666667 & 597.876596165483 & 1689 \tabularnewline
5 & 8066.91666666667 & 516.302141691424 & 1612 \tabularnewline
6 & 8187 & 550.267373027133 & 1646 \tabularnewline
7 & 8304 & 540.264245111089 & 1579 \tabularnewline
8 & 7912.16666666667 & 513.257127361987 & 1551 \tabularnewline
9 & 7274.75 & 351.445359777435 & 1004 \tabularnewline
10 & 6993.91666666667 & 440.859998047893 & 1245 \tabularnewline
11 & 7759.5 & 436.531056897861 & 1259 \tabularnewline
12 & 8246.91666666667 & 317.634283223313 & 1106 \tabularnewline
13 & 7638.66666666667 & 364.182604879708 & 1146 \tabularnewline
14 & 7655.83333333333 & 370.225443193575 & 962 \tabularnewline
15 & 7574.83333333333 & 397.634558890751 & 1301 \tabularnewline
16 & 7027.58333333333 & 464.781954416816 & 1378 \tabularnewline
17 & 6114.83333333333 & 512.875464829663 & 1632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294319&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]7204.41666666667[/C][C]509.330301533893[/C][C]1444[/C][/ROW]
[ROW][C]2[/C][C]6711.83333333333[/C][C]558.291359797232[/C][C]1692[/C][/ROW]
[ROW][C]3[/C][C]6704.58333333333[/C][C]574.557293342738[/C][C]1730[/C][/ROW]
[ROW][C]4[/C][C]7524.66666666667[/C][C]597.876596165483[/C][C]1689[/C][/ROW]
[ROW][C]5[/C][C]8066.91666666667[/C][C]516.302141691424[/C][C]1612[/C][/ROW]
[ROW][C]6[/C][C]8187[/C][C]550.267373027133[/C][C]1646[/C][/ROW]
[ROW][C]7[/C][C]8304[/C][C]540.264245111089[/C][C]1579[/C][/ROW]
[ROW][C]8[/C][C]7912.16666666667[/C][C]513.257127361987[/C][C]1551[/C][/ROW]
[ROW][C]9[/C][C]7274.75[/C][C]351.445359777435[/C][C]1004[/C][/ROW]
[ROW][C]10[/C][C]6993.91666666667[/C][C]440.859998047893[/C][C]1245[/C][/ROW]
[ROW][C]11[/C][C]7759.5[/C][C]436.531056897861[/C][C]1259[/C][/ROW]
[ROW][C]12[/C][C]8246.91666666667[/C][C]317.634283223313[/C][C]1106[/C][/ROW]
[ROW][C]13[/C][C]7638.66666666667[/C][C]364.182604879708[/C][C]1146[/C][/ROW]
[ROW][C]14[/C][C]7655.83333333333[/C][C]370.225443193575[/C][C]962[/C][/ROW]
[ROW][C]15[/C][C]7574.83333333333[/C][C]397.634558890751[/C][C]1301[/C][/ROW]
[ROW][C]16[/C][C]7027.58333333333[/C][C]464.781954416816[/C][C]1378[/C][/ROW]
[ROW][C]17[/C][C]6114.83333333333[/C][C]512.875464829663[/C][C]1632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294319&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	7204.41666666667	509.330301533893	1444
2	6711.83333333333	558.291359797232	1692
3	6704.58333333333	574.557293342738	1730
4	7524.66666666667	597.876596165483	1689
5	8066.91666666667	516.302141691424	1612
6	8187	550.267373027133	1646
7	8304	540.264245111089	1579
8	7912.16666666667	513.257127361987	1551
9	7274.75	351.445359777435	1004
10	6993.91666666667	440.859998047893	1245
11	7759.5	436.531056897861	1259
12	8246.91666666667	317.634283223313	1106
13	7638.66666666667	364.182604879708	1146
14	7655.83333333333	370.225443193575	962
15	7574.83333333333	397.634558890751	1301
16	7027.58333333333	464.781954416816	1378
17	6114.83333333333	512.875464829663	1632

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	691.273784833826
beta	-0.0294347206152789
S.D.	0.035468219689014
T-STAT	-0.829889993728558
p-value	0.419613235252687

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 691.273784833826 \tabularnewline
beta & -0.0294347206152789 \tabularnewline
S.D. & 0.035468219689014 \tabularnewline
T-STAT & -0.829889993728558 \tabularnewline
p-value & 0.419613235252687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294319&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]691.273784833826[/C][/ROW]
[ROW][C]beta[/C][C]-0.0294347206152789[/C][/ROW]
[ROW][C]S.D.[/C][C]0.035468219689014[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.829889993728558[/C][/ROW]
[ROW][C]p-value[/C][C]0.419613235252687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294319&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294319&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	691.273784833826
beta	-0.0294347206152789
S.D.	0.035468219689014
T-STAT	-0.829889993728558
p-value	0.419613235252687

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	10.8981813267032
beta	-0.533851587741588
S.D.	0.573607598581287
T-STAT	-0.93069127581638
p-value	0.36675092187934
Lambda	1.53385158774159

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.8981813267032 \tabularnewline
beta & -0.533851587741588 \tabularnewline
S.D. & 0.573607598581287 \tabularnewline
T-STAT & -0.93069127581638 \tabularnewline
p-value & 0.36675092187934 \tabularnewline
Lambda & 1.53385158774159 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294319&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.8981813267032[/C][/ROW]
[ROW][C]beta[/C][C]-0.533851587741588[/C][/ROW]
[ROW][C]S.D.[/C][C]0.573607598581287[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.93069127581638[/C][/ROW]
[ROW][C]p-value[/C][C]0.36675092187934[/C][/ROW]
[ROW][C]Lambda[/C][C]1.53385158774159[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294319&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294319&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	10.8981813267032
beta	-0.533851587741588
S.D.	0.573607598581287
T-STAT	-0.93069127581638
p-value	0.36675092187934
Lambda	1.53385158774159

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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Dataset

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Figures (Output of Computation)

Input Parameters & R Code