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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

Thu, 26 Nov 2015 14:09:21 +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/2015/Nov/26/t1448547888ach23ftyodqglhh.htm/, Retrieved Mon, 13 May 2024 23:00:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284233, Retrieved Mon, 13 May 2024 23:00:29 +0000

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Original text written by user:

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No (this computation is public)

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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] [standard deviatio...] [2015-11-26 14:09:21] [ad5e328aab07d5d247de986d4dfd18ff] [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=284233&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=284233&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284233&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	435.25	23.9549767082105	69
2	434.333333333333	26.4689641014918	78
3	515.833333333333	22.7109638454179	69
4	646.833333333333	20.7619990863261	64
5	659.666666666667	43.7707526537846	126

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 435.25 & 23.9549767082105 & 69 \tabularnewline
2 & 434.333333333333 & 26.4689641014918 & 78 \tabularnewline
3 & 515.833333333333 & 22.7109638454179 & 69 \tabularnewline
4 & 646.833333333333 & 20.7619990863261 & 64 \tabularnewline
5 & 659.666666666667 & 43.7707526537846 & 126 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284233&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]435.25[/C][C]23.9549767082105[/C][C]69[/C][/ROW]
[ROW][C]2[/C][C]434.333333333333[/C][C]26.4689641014918[/C][C]78[/C][/ROW]
[ROW][C]3[/C][C]515.833333333333[/C][C]22.7109638454179[/C][C]69[/C][/ROW]
[ROW][C]4[/C][C]646.833333333333[/C][C]20.7619990863261[/C][C]64[/C][/ROW]
[ROW][C]5[/C][C]659.666666666667[/C][C]43.7707526537846[/C][C]126[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284233&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284233&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	435.25	23.9549767082105	69
2	434.333333333333	26.4689641014918	78
3	515.833333333333	22.7109638454179	69
4	646.833333333333	20.7619990863261	64
5	659.666666666667	43.7707526537846	126

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	7.26718623524183
beta	0.0376429651310485
S.D.	0.0437412986660096
T-STAT	0.860581790643085
p-value	0.452752339743765

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7.26718623524183 \tabularnewline
beta & 0.0376429651310485 \tabularnewline
S.D. & 0.0437412986660096 \tabularnewline
T-STAT & 0.860581790643085 \tabularnewline
p-value & 0.452752339743765 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284233&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.26718623524183[/C][/ROW]
[ROW][C]beta[/C][C]0.0376429651310485[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0437412986660096[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.860581790643085[/C][/ROW]
[ROW][C]p-value[/C][C]0.452752339743765[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284233&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284233&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	7.26718623524183
beta	0.0376429651310485
S.D.	0.0437412986660096
T-STAT	0.860581790643085
p-value	0.452752339743765

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.0605545409242019
beta	0.512903470431179
S.D.	0.776394592590072
T-STAT	0.660622156988651
p-value	0.556052853168702
Lambda	0.487096529568821

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0605545409242019 \tabularnewline
beta & 0.512903470431179 \tabularnewline
S.D. & 0.776394592590072 \tabularnewline
T-STAT & 0.660622156988651 \tabularnewline
p-value & 0.556052853168702 \tabularnewline
Lambda & 0.487096529568821 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284233&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0605545409242019[/C][/ROW]
[ROW][C]beta[/C][C]0.512903470431179[/C][/ROW]
[ROW][C]S.D.[/C][C]0.776394592590072[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.660622156988651[/C][/ROW]
[ROW][C]p-value[/C][C]0.556052853168702[/C][/ROW]
[ROW][C]Lambda[/C][C]0.487096529568821[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284233&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284233&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	0.0605545409242019
beta	0.512903470431179
S.D.	0.776394592590072
T-STAT	0.660622156988651
p-value	0.556052853168702
Lambda	0.487096529568821

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

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code