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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

Mon, 09 Mar 2015 13:21:51 +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/Mar/09/t1425907356o6uvldhyugmu90g.htm/, Retrieved Sun, 19 May 2024 17:01:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278089, Retrieved Sun, 19 May 2024 17:01:27 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

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

-       [Standard Deviation-Mean Plot] [] [2015-03-09 13:21:51] [4fa22ecf638daf61dea82ccfb30e12bf] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278089&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278089&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278089&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	975.333333333333	475.983065652423	2045
2	754.666666666667	357.247134560258	1495
3	949.25	322.389410214079	1305
4	942.083333333333	284.103200946203	1075
5	938.666666666667	548.059773338196	2015
6	902.333333333333	231.838632490686	907

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 975.333333333333 & 475.983065652423 & 2045 \tabularnewline
2 & 754.666666666667 & 357.247134560258 & 1495 \tabularnewline
3 & 949.25 & 322.389410214079 & 1305 \tabularnewline
4 & 942.083333333333 & 284.103200946203 & 1075 \tabularnewline
5 & 938.666666666667 & 548.059773338196 & 2015 \tabularnewline
6 & 902.333333333333 & 231.838632490686 & 907 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278089&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]975.333333333333[/C][C]475.983065652423[/C][C]2045[/C][/ROW]
[ROW][C]2[/C][C]754.666666666667[/C][C]357.247134560258[/C][C]1495[/C][/ROW]
[ROW][C]3[/C][C]949.25[/C][C]322.389410214079[/C][C]1305[/C][/ROW]
[ROW][C]4[/C][C]942.083333333333[/C][C]284.103200946203[/C][C]1075[/C][/ROW]
[ROW][C]5[/C][C]938.666666666667[/C][C]548.059773338196[/C][C]2015[/C][/ROW]
[ROW][C]6[/C][C]902.333333333333[/C][C]231.838632490686[/C][C]907[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278089&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278089&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	975.333333333333	475.983065652423	2045
2	754.666666666667	357.247134560258	1495
3	949.25	322.389410214079	1305
4	942.083333333333	284.103200946203	1075
5	938.666666666667	548.059773338196	2015
6	902.333333333333	231.838632490686	907

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	71.3655296674737
beta	0.327960219539331
S.D.	0.732815733410291
T-STAT	0.447534359030624
p-value	0.677655899161957

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 71.3655296674737 \tabularnewline
beta & 0.327960219539331 \tabularnewline
S.D. & 0.732815733410291 \tabularnewline
T-STAT & 0.447534359030624 \tabularnewline
p-value & 0.677655899161957 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278089&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]71.3655296674737[/C][/ROW]
[ROW][C]beta[/C][C]0.327960219539331[/C][/ROW]
[ROW][C]S.D.[/C][C]0.732815733410291[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.447534359030624[/C][/ROW]
[ROW][C]p-value[/C][C]0.677655899161957[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278089&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278089&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	71.3655296674737
beta	0.327960219539331
S.D.	0.732815733410291
T-STAT	0.447534359030624
p-value	0.677655899161957

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.07580198329864
beta	0.557152702604769
S.D.	1.69182155063258
T-STAT	0.329321199624421
p-value	0.75843529009653
Lambda	0.442847297395231

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.07580198329864 \tabularnewline
beta & 0.557152702604769 \tabularnewline
S.D. & 1.69182155063258 \tabularnewline
T-STAT & 0.329321199624421 \tabularnewline
p-value & 0.75843529009653 \tabularnewline
Lambda & 0.442847297395231 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278089&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.07580198329864[/C][/ROW]
[ROW][C]beta[/C][C]0.557152702604769[/C][/ROW]
[ROW][C]S.D.[/C][C]1.69182155063258[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.329321199624421[/C][/ROW]
[ROW][C]p-value[/C][C]0.75843529009653[/C][/ROW]
[ROW][C]Lambda[/C][C]0.442847297395231[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278089&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278089&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	2.07580198329864
beta	0.557152702604769
S.D.	1.69182155063258
T-STAT	0.329321199624421
p-value	0.75843529009653
Lambda	0.442847297395231

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