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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, 26 Apr 2013 04:52:46 -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/Apr/26/t1366966408uc2mlih8hme24zm.htm/, Retrieved Sat, 27 Apr 2024 05:54:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208365, Retrieved Sat, 27 Apr 2024 05:54:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

110

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

-       [Standard Deviation-Mean Plot] [Opdracht 8 oef 3 ...] [2013-04-26 08:52:46] [66913edeccd589e3e35c84ad0be9abda] [Current]

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Histogram

Boxplots

8,5
8,5
8,5
8,6
8,6
8,4
8,2
8
8
8
8
7,9
7,9
7,9
7,9
8
7,9
7,4
7,2
7
6,9
7,1
7,2
7,2
7,1
6,9
6,8
6,8
6,8
6,9
7,1
7,2
7,2
7,1
7,1
7,2
7,5
7,7
7,8
7,7
7,7
7,8
8
8,1
8,1
8
8,1
8,2
8,4
8,5
8,5
8,5
8,5
8,5
8,4
8,3
8,2
8,1
7,9
7,6
7,3
7,1
7
7,1
7,1
7,1
7,3
7,3
7,3
7,2
7,2
7,1

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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208365&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208365&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208365&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8.26666666666667	0.274137766736937	0.699999999999999
2	7.46666666666667	0.418511069329731	1.1
3	7.01666666666667	0.164224532179869	0.4
4	7.89166666666667	0.219330938551907	0.699999999999999
5	8.28333333333333	0.288675134594813	0.9
6	7.175	0.105528970602217	0.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.26666666666667 & 0.274137766736937 & 0.699999999999999 \tabularnewline
2 & 7.46666666666667 & 0.418511069329731 & 1.1 \tabularnewline
3 & 7.01666666666667 & 0.164224532179869 & 0.4 \tabularnewline
4 & 7.89166666666667 & 0.219330938551907 & 0.699999999999999 \tabularnewline
5 & 8.28333333333333 & 0.288675134594813 & 0.9 \tabularnewline
6 & 7.175 & 0.105528970602217 & 0.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208365&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]8.26666666666667[/C][C]0.274137766736937[/C][C]0.699999999999999[/C][/ROW]
[ROW][C]2[/C][C]7.46666666666667[/C][C]0.418511069329731[/C][C]1.1[/C][/ROW]
[ROW][C]3[/C][C]7.01666666666667[/C][C]0.164224532179869[/C][C]0.4[/C][/ROW]
[ROW][C]4[/C][C]7.89166666666667[/C][C]0.219330938551907[/C][C]0.699999999999999[/C][/ROW]
[ROW][C]5[/C][C]8.28333333333333[/C][C]0.288675134594813[/C][C]0.9[/C][/ROW]
[ROW][C]6[/C][C]7.175[/C][C]0.105528970602217[/C][C]0.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208365&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208365&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	8.26666666666667	0.274137766736937	0.699999999999999
2	7.46666666666667	0.418511069329731	1.1
3	7.01666666666667	0.164224532179869	0.4
4	7.89166666666667	0.219330938551907	0.699999999999999
5	8.28333333333333	0.288675134594813	0.9
6	7.175	0.105528970602217	0.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.398051550119358
beta	0.0837032041802955
S.D.	0.0905989838674347
T-STAT	0.923886787767629
p-value	0.407833424934579

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.398051550119358 \tabularnewline
beta & 0.0837032041802955 \tabularnewline
S.D. & 0.0905989838674347 \tabularnewline
T-STAT & 0.923886787767629 \tabularnewline
p-value & 0.407833424934579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208365&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.398051550119358[/C][/ROW]
[ROW][C]beta[/C][C]0.0837032041802955[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0905989838674347[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.923886787767629[/C][/ROW]
[ROW][C]p-value[/C][C]0.407833424934579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208365&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208365&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	-0.398051550119358
beta	0.0837032041802955
S.D.	0.0905989838674347
T-STAT	0.923886787767629
p-value	0.407833424934579

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-9.11107317213618
beta	3.73815670520462
S.D.	2.81024286685169
T-STAT	1.33018990966872
p-value	0.254230086276275
Lambda	-2.73815670520462

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.11107317213618 \tabularnewline
beta & 3.73815670520462 \tabularnewline
S.D. & 2.81024286685169 \tabularnewline
T-STAT & 1.33018990966872 \tabularnewline
p-value & 0.254230086276275 \tabularnewline
Lambda & -2.73815670520462 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208365&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.11107317213618[/C][/ROW]
[ROW][C]beta[/C][C]3.73815670520462[/C][/ROW]
[ROW][C]S.D.[/C][C]2.81024286685169[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.33018990966872[/C][/ROW]
[ROW][C]p-value[/C][C]0.254230086276275[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.73815670520462[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208365&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208365&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	-9.11107317213618
beta	3.73815670520462
S.D.	2.81024286685169
T-STAT	1.33018990966872
p-value	0.254230086276275
Lambda	-2.73815670520462

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