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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

Fri, 24 May 2013 11:02:19 -0400

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/2013/May/24/t1369407754glreek5ok80u272.htm/, Retrieved Wed, 01 May 2024 04:45:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210428, Retrieved Wed, 01 May 2024 04:45:19 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

150

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

-     [Blocked Bootstrap Plot - Central Tendency] [] [2013-05-24 07:26:47] [709b7720e5f7ef30901a7a8e706288f1]
- R P   [Blocked Bootstrap Plot - Central Tendency] [] [2013-05-24 07:50:54] [709b7720e5f7ef30901a7a8e706288f1]
-   P     [Blocked Bootstrap Plot - Central Tendency] [] [2013-05-24 07:53:39] [709b7720e5f7ef30901a7a8e706288f1]
- R PD      [Blocked Bootstrap Plot - Central Tendency] [Oef7 eigen reeks ] [2013-05-24 08:02:52] [709b7720e5f7ef30901a7a8e706288f1]
- R PD        [Blocked Bootstrap Plot - Central Tendency] [] [2013-05-24 08:10:01] [709b7720e5f7ef30901a7a8e706288f1]
- RMP             [Standard Deviation-Mean Plot] [oef 8 eigen reeks 1c] [2013-05-24 15:02:19] [09b6c15525a7e41be57b956512900af9] [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	2 seconds
R Server	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210428&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210428&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210428&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	15.7758333333333	0.0895908206878091	0.31
2	16.1833333333333	0.12078029138845	0.4
3	16.5166666666667	0.0677338821261469	0.240000000000002
4	16.8166666666667	0.182972095902047	0.550000000000001
5	17.5933333333333	0.217436859521995	0.82
6	17.9916666666667	0.0470653961541968	0.189999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15.7758333333333 & 0.0895908206878091 & 0.31 \tabularnewline
2 & 16.1833333333333 & 0.12078029138845 & 0.4 \tabularnewline
3 & 16.5166666666667 & 0.0677338821261469 & 0.240000000000002 \tabularnewline
4 & 16.8166666666667 & 0.182972095902047 & 0.550000000000001 \tabularnewline
5 & 17.5933333333333 & 0.217436859521995 & 0.82 \tabularnewline
6 & 17.9916666666667 & 0.0470653961541968 & 0.189999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210428&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]15.7758333333333[/C][C]0.0895908206878091[/C][C]0.31[/C][/ROW]
[ROW][C]2[/C][C]16.1833333333333[/C][C]0.12078029138845[/C][C]0.4[/C][/ROW]
[ROW][C]3[/C][C]16.5166666666667[/C][C]0.0677338821261469[/C][C]0.240000000000002[/C][/ROW]
[ROW][C]4[/C][C]16.8166666666667[/C][C]0.182972095902047[/C][C]0.550000000000001[/C][/ROW]
[ROW][C]5[/C][C]17.5933333333333[/C][C]0.217436859521995[/C][C]0.82[/C][/ROW]
[ROW][C]6[/C][C]17.9916666666667[/C][C]0.0470653961541968[/C][C]0.189999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210428&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210428&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	15.7758333333333	0.0895908206878091	0.31
2	16.1833333333333	0.12078029138845	0.4
3	16.5166666666667	0.0677338821261469	0.240000000000002
4	16.8166666666667	0.182972095902047	0.550000000000001
5	17.5933333333333	0.217436859521995	0.82
6	17.9916666666667	0.0470653961541968	0.189999999999998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.0531212410101405
beta	0.0103522271253896
S.D.	0.0393598846835634
T-STAT	0.263014671120534
p-value	0.805531201440195

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0531212410101405 \tabularnewline
beta & 0.0103522271253896 \tabularnewline
S.D. & 0.0393598846835634 \tabularnewline
T-STAT & 0.263014671120534 \tabularnewline
p-value & 0.805531201440195 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210428&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0531212410101405[/C][/ROW]
[ROW][C]beta[/C][C]0.0103522271253896[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0393598846835634[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.263014671120534[/C][/ROW]
[ROW][C]p-value[/C][C]0.805531201440195[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210428&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210428&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	-0.0531212410101405
beta	0.0103522271253896
S.D.	0.0393598846835634
T-STAT	0.263014671120534
p-value	0.805531201440195

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.294879511189818
beta	-0.692970879145049
S.D.	5.86041076355827
T-STAT	-0.11824612763565
p-value	0.91157279319342
Lambda	1.69297087914505

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.294879511189818 \tabularnewline
beta & -0.692970879145049 \tabularnewline
S.D. & 5.86041076355827 \tabularnewline
T-STAT & -0.11824612763565 \tabularnewline
p-value & 0.91157279319342 \tabularnewline
Lambda & 1.69297087914505 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210428&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.294879511189818[/C][/ROW]
[ROW][C]beta[/C][C]-0.692970879145049[/C][/ROW]
[ROW][C]S.D.[/C][C]5.86041076355827[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.11824612763565[/C][/ROW]
[ROW][C]p-value[/C][C]0.91157279319342[/C][/ROW]
[ROW][C]Lambda[/C][C]1.69297087914505[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210428&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210428&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	-0.294879511189818
beta	-0.692970879145049
S.D.	5.86041076355827
T-STAT	-0.11824612763565
p-value	0.91157279319342
Lambda	1.69297087914505

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