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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

Tue, 18 Dec 2007 13:22:50 -0700

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/2007/Dec/18/t11980083966593rxry8voktas.htm/, Retrieved Sat, 04 May 2024 18:40:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4597, Retrieved Sat, 04 May 2024 18:40:11 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

164

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

-       [Standard Deviation-Mean Plot] [] [2007-12-18 20:22:50] [dd38921fafddee0dfc20da83e9650a2a] [Current]

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Dataseries X:

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Histogram

Boxplots

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

Summary of compuational 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' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4597&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4597&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4597&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 compuational 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' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8.14166666666667	0.320392751402892	0.9
2	8.4	0.680908484039054	1.1
3	8.43333333333333	0.249848438906955	0.699999999999999
4	8.3	0.244948974278318	1
5	7.625	0.313702232872338	0.699999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.14166666666667 & 0.320392751402892 & 0.9 \tabularnewline
2 & 8.4 & 0.680908484039054 & 1.1 \tabularnewline
3 & 8.43333333333333 & 0.249848438906955 & 0.699999999999999 \tabularnewline
4 & 8.3 & 0.244948974278318 & 1 \tabularnewline
5 & 7.625 & 0.313702232872338 & 0.699999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4597&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]8.14166666666667[/C][C]0.320392751402892[/C][C]0.9[/C][/ROW]
[ROW][C]2[/C][C]8.4[/C][C]0.680908484039054[/C][C]1.1[/C][/ROW]
[ROW][C]3[/C][C]8.43333333333333[/C][C]0.249848438906955[/C][C]0.699999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.3[/C][C]0.244948974278318[/C][C]1[/C][/ROW]
[ROW][C]5[/C][C]7.625[/C][C]0.313702232872338[/C][C]0.699999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4597&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4597&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	8.14166666666667	0.320392751402892	0.9
2	8.4	0.680908484039054	1.1
3	8.43333333333333	0.249848438906955	0.699999999999999
4	8.3	0.244948974278318	1
5	7.625	0.313702232872338	0.699999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.689461048763799
beta	0.128535602086028
S.D.	0.308764894751425
T-STAT	0.416289559697217
p-value	0.705187450556067

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.689461048763799 \tabularnewline
beta & 0.128535602086028 \tabularnewline
S.D. & 0.308764894751425 \tabularnewline
T-STAT & 0.416289559697217 \tabularnewline
p-value & 0.705187450556067 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4597&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.689461048763799[/C][/ROW]
[ROW][C]beta[/C][C]0.128535602086028[/C][/ROW]
[ROW][C]S.D.[/C][C]0.308764894751425[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.416289559697217[/C][/ROW]
[ROW][C]p-value[/C][C]0.705187450556067[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4597&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4597&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	-0.689461048763799
beta	0.128535602086028
S.D.	0.308764894751425
T-STAT	0.416289559697217
p-value	0.705187450556067

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.22661443760708
beta	1.49047702196697
S.D.	5.76508339319725
T-STAT	0.258535205878499
p-value	0.812716901387615
Lambda	-0.490477021966968

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.22661443760708 \tabularnewline
beta & 1.49047702196697 \tabularnewline
S.D. & 5.76508339319725 \tabularnewline
T-STAT & 0.258535205878499 \tabularnewline
p-value & 0.812716901387615 \tabularnewline
Lambda & -0.490477021966968 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4597&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.22661443760708[/C][/ROW]
[ROW][C]beta[/C][C]1.49047702196697[/C][/ROW]
[ROW][C]S.D.[/C][C]5.76508339319725[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.258535205878499[/C][/ROW]
[ROW][C]p-value[/C][C]0.812716901387615[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.490477021966968[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4597&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4597&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	-4.22661443760708
beta	1.49047702196697
S.D.	5.76508339319725
T-STAT	0.258535205878499
p-value	0.812716901387615
Lambda	-0.490477021966968

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;

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