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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 06 Dec 2008 07:36:43 -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/2008/Dec/06/t1228574254998hxc57ne2gqet.htm/, Retrieved Sun, 19 May 2024 12:16:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29655, Retrieved Sun, 19 May 2024 12:16:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

241

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [Standard Deviation-Mean Plot] [Identification an...] [2008-12-04 19:58:38] [063e4b67ad7d3a8a83eccec794cd5aa7]
F    D    [Standard Deviation-Mean Plot] [Eigen tijdreeks SMP] [2008-12-06 14:17:16] [063e4b67ad7d3a8a83eccec794cd5aa7]
-    D        [Standard Deviation-Mean Plot] [Eigen tijdreeks t...] [2008-12-06 14:36:43] [6797a1f4a60918966297e9d9220cabc2] [Current]

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Dataseries X:

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Histogram

Boxplots

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

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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29655&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29655&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29655&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	5.775	0.295803989154981	0.9
2	5.48333333333333	0.203752672412294	0.6
3	6.35	0.239317210565240	0.6
4	6.725	0.0965307299163424	0.300000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5.775 & 0.295803989154981 & 0.9 \tabularnewline
2 & 5.48333333333333 & 0.203752672412294 & 0.6 \tabularnewline
3 & 6.35 & 0.239317210565240 & 0.6 \tabularnewline
4 & 6.725 & 0.0965307299163424 & 0.300000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29655&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]5.775[/C][C]0.295803989154981[/C][C]0.9[/C][/ROW]
[ROW][C]2[/C][C]5.48333333333333[/C][C]0.203752672412294[/C][C]0.6[/C][/ROW]
[ROW][C]3[/C][C]6.35[/C][C]0.239317210565240[/C][C]0.6[/C][/ROW]
[ROW][C]4[/C][C]6.725[/C][C]0.0965307299163424[/C][C]0.300000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29655&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29655&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	5.775	0.295803989154981	0.9
2	5.48333333333333	0.203752672412294	0.6
3	6.35	0.239317210565240	0.6
4	6.725	0.0965307299163424	0.300000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.777669737929998
beta	-0.0935044253289508
S.D.	0.0830255408096031
T-STAT	-1.12621278244219
p-value	0.37704621957252

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.777669737929998 \tabularnewline
beta & -0.0935044253289508 \tabularnewline
S.D. & 0.0830255408096031 \tabularnewline
T-STAT & -1.12621278244219 \tabularnewline
p-value & 0.37704621957252 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29655&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.777669737929998[/C][/ROW]
[ROW][C]beta[/C][C]-0.0935044253289508[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0830255408096031[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.12621278244219[/C][/ROW]
[ROW][C]p-value[/C][C]0.37704621957252[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29655&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29655&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	0.777669737929998
beta	-0.0935044253289508
S.D.	0.0830255408096031
T-STAT	-1.12621278244219
p-value	0.37704621957252

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.61946520622095
beta	-3.47520549640601
S.D.	2.82825849318803
T-STAT	-1.22874394429511
p-value	0.344127407583674
Lambda	4.47520549640601

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.61946520622095 \tabularnewline
beta & -3.47520549640601 \tabularnewline
S.D. & 2.82825849318803 \tabularnewline
T-STAT & -1.22874394429511 \tabularnewline
p-value & 0.344127407583674 \tabularnewline
Lambda & 4.47520549640601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29655&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.61946520622095[/C][/ROW]
[ROW][C]beta[/C][C]-3.47520549640601[/C][/ROW]
[ROW][C]S.D.[/C][C]2.82825849318803[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.22874394429511[/C][/ROW]
[ROW][C]p-value[/C][C]0.344127407583674[/C][/ROW]
[ROW][C]Lambda[/C][C]4.47520549640601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29655&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29655&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	4.61946520622095
beta	-3.47520549640601
S.D.	2.82825849318803
T-STAT	-1.22874394429511
p-value	0.344127407583674
Lambda	4.47520549640601

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