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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

Wed, 27 Nov 2013 12:13:56 -0500

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/Nov/27/t1385572462eaqcvnjoo82fweu.htm/, Retrieved Mon, 29 Apr 2024 08:32:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=229072, Retrieved Mon, 29 Apr 2024 08:32:07 +0000

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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] [] [2013-11-27 17:13:56] [8116c518552551891bfed289dbb7dceb] [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	3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229072&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]3 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=229072&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229072&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	3 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	16.4633333333333	0.102720568298248	0.309999999999999
2	16.8908333333333	0.201469976709066	0.560000000000002
3	17.3991666666667	0.101753564452494	0.299999999999997
4	17.6258333333333	0.0853291310518316	0.280000000000001
5	18.1841666666667	0.223625430873443	0.719999999999999
6	18.625	0.103528652160558	0.290000000000003
7	19.1108333333333	0.20482623825767	0.559999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 16.4633333333333 & 0.102720568298248 & 0.309999999999999 \tabularnewline
2 & 16.8908333333333 & 0.201469976709066 & 0.560000000000002 \tabularnewline
3 & 17.3991666666667 & 0.101753564452494 & 0.299999999999997 \tabularnewline
4 & 17.6258333333333 & 0.0853291310518316 & 0.280000000000001 \tabularnewline
5 & 18.1841666666667 & 0.223625430873443 & 0.719999999999999 \tabularnewline
6 & 18.625 & 0.103528652160558 & 0.290000000000003 \tabularnewline
7 & 19.1108333333333 & 0.20482623825767 & 0.559999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229072&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]16.4633333333333[/C][C]0.102720568298248[/C][C]0.309999999999999[/C][/ROW]
[ROW][C]2[/C][C]16.8908333333333[/C][C]0.201469976709066[/C][C]0.560000000000002[/C][/ROW]
[ROW][C]3[/C][C]17.3991666666667[/C][C]0.101753564452494[/C][C]0.299999999999997[/C][/ROW]
[ROW][C]4[/C][C]17.6258333333333[/C][C]0.0853291310518316[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]5[/C][C]18.1841666666667[/C][C]0.223625430873443[/C][C]0.719999999999999[/C][/ROW]
[ROW][C]6[/C][C]18.625[/C][C]0.103528652160558[/C][C]0.290000000000003[/C][/ROW]
[ROW][C]7[/C][C]19.1108333333333[/C][C]0.20482623825767[/C][C]0.559999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229072&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229072&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	16.4633333333333	0.102720568298248	0.309999999999999
2	16.8908333333333	0.201469976709066	0.560000000000002
3	17.3991666666667	0.101753564452494	0.299999999999997
4	17.6258333333333	0.0853291310518316	0.280000000000001
5	18.1841666666667	0.223625430873443	0.719999999999999
6	18.625	0.103528652160558	0.290000000000003
7	19.1108333333333	0.20482623825767	0.559999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.211995177011945
beta	0.0201708496373957
S.D.	0.0271731916213809
T-STAT	0.742306973669023
p-value	0.491279344887285

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.211995177011945 \tabularnewline
beta & 0.0201708496373957 \tabularnewline
S.D. & 0.0271731916213809 \tabularnewline
T-STAT & 0.742306973669023 \tabularnewline
p-value & 0.491279344887285 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229072&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.211995177011945[/C][/ROW]
[ROW][C]beta[/C][C]0.0201708496373957[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0271731916213809[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.742306973669023[/C][/ROW]
[ROW][C]p-value[/C][C]0.491279344887285[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229072&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229072&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	-0.211995177011945
beta	0.0201708496373957
S.D.	0.0271731916213809
T-STAT	0.742306973669023
p-value	0.491279344887285

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-8.76207302097293
beta	2.35277039507369
S.D.	3.31590976780653
T-STAT	0.70953993317799
p-value	0.509697493338701
Lambda	-1.35277039507369

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.76207302097293 \tabularnewline
beta & 2.35277039507369 \tabularnewline
S.D. & 3.31590976780653 \tabularnewline
T-STAT & 0.70953993317799 \tabularnewline
p-value & 0.509697493338701 \tabularnewline
Lambda & -1.35277039507369 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229072&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.76207302097293[/C][/ROW]
[ROW][C]beta[/C][C]2.35277039507369[/C][/ROW]
[ROW][C]S.D.[/C][C]3.31590976780653[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.70953993317799[/C][/ROW]
[ROW][C]p-value[/C][C]0.509697493338701[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.35277039507369[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229072&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229072&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	-8.76207302097293
beta	2.35277039507369
S.D.	3.31590976780653
T-STAT	0.70953993317799
p-value	0.509697493338701
Lambda	-1.35277039507369

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