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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, 25 May 2012 08:41:21 -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/2012/May/25/t1337949713n5jif78qbbj5fsd.htm/, Retrieved Sat, 04 May 2024 00:35:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167481, Retrieved Sat, 04 May 2024 00:35:49 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

100

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

-     [Bootstrap Plot - Central Tendency] [jens vanpachtenbe...] [2012-05-24 13:19:01] [6c12ae1bbd1f05ed2de376c80d275927]
- RMPD    [Standard Deviation-Mean Plot] [jens vanpachtenbe...] [2012-05-25 12:41:21] [4080e77d9380e2af46712fd05e0afa1e] [Current]

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Dataseries X:

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Histogram

Boxplots

2.3
2.31
2.31
2.32
2.33
2.34
2.36
2.37
2.37
2.38
2.39
2.4
2.4
2.39
2.4
2.42
2.42
2.44
2.44
2.44
2.45
2.46
2.47
2.48
2.48
2.49
2.5
2.51
2.52
2.52
2.52
2.54
2.54
2.54
2.56
2.57
2.58
2.58
2.58
2.58
2.59
2.6
2.61
2.61
2.62
2.63
2.65
2.67
2.68
2.67
2.68
2.68
2.68
2.68
2.69
2.69
2.69
2.7
2.71
2.72
2.71
2.72
2.73
2.74
2.74
2.75
2.75
2.76
2.75
2.78
2.79
2.8
2.81
2.81
2.82
2.82
2.83
2.83
2.84
2.84
2.84
2.86
2.87

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167481&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167481&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167481&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	0 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2.34833333333333	0.0343334804351071	0.1
2	2.43416666666667	0.0287491765362967	0.0899999999999999
3	2.52416666666667	0.027122058561364	0.0899999999999999
4	2.60833333333333	0.0297972949758663	0.0899999999999999
5	2.68916666666667	0.0144337567297407	0.0500000000000003
6	2.75166666666667	0.0272474630456532	0.0899999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.34833333333333 & 0.0343334804351071 & 0.1 \tabularnewline
2 & 2.43416666666667 & 0.0287491765362967 & 0.0899999999999999 \tabularnewline
3 & 2.52416666666667 & 0.027122058561364 & 0.0899999999999999 \tabularnewline
4 & 2.60833333333333 & 0.0297972949758663 & 0.0899999999999999 \tabularnewline
5 & 2.68916666666667 & 0.0144337567297407 & 0.0500000000000003 \tabularnewline
6 & 2.75166666666667 & 0.0272474630456532 & 0.0899999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167481&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]2.34833333333333[/C][C]0.0343334804351071[/C][C]0.1[/C][/ROW]
[ROW][C]2[/C][C]2.43416666666667[/C][C]0.0287491765362967[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]3[/C][C]2.52416666666667[/C][C]0.027122058561364[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]4[/C][C]2.60833333333333[/C][C]0.0297972949758663[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]5[/C][C]2.68916666666667[/C][C]0.0144337567297407[/C][C]0.0500000000000003[/C][/ROW]
[ROW][C]6[/C][C]2.75166666666667[/C][C]0.0272474630456532[/C][C]0.0899999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167481&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167481&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	2.34833333333333	0.0343334804351071	0.1
2	2.43416666666667	0.0287491765362967	0.0899999999999999
3	2.52416666666667	0.027122058561364	0.0899999999999999
4	2.60833333333333	0.0297972949758663	0.0899999999999999
5	2.68916666666667	0.0144337567297407	0.0500000000000003
6	2.75166666666667	0.0272474630456532	0.0899999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0969239738998579
beta	-0.0273420923502547
S.D.	0.0169142335493574
T-STAT	-1.61651382372531
p-value	0.181289306752818

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0969239738998579 \tabularnewline
beta & -0.0273420923502547 \tabularnewline
S.D. & 0.0169142335493574 \tabularnewline
T-STAT & -1.61651382372531 \tabularnewline
p-value & 0.181289306752818 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167481&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0969239738998579[/C][/ROW]
[ROW][C]beta[/C][C]-0.0273420923502547[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0169142335493574[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.61651382372531[/C][/ROW]
[ROW][C]p-value[/C][C]0.181289306752818[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167481&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167481&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	0.0969239738998579
beta	-0.0273420923502547
S.D.	0.0169142335493574
T-STAT	-1.61651382372531
p-value	0.181289306752818

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.925255615543511
beta	-2.90102981428149
S.D.	2.04442974299217
T-STAT	-1.41899217824704
p-value	0.228902723265232
Lambda	3.90102981428149

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.925255615543511 \tabularnewline
beta & -2.90102981428149 \tabularnewline
S.D. & 2.04442974299217 \tabularnewline
T-STAT & -1.41899217824704 \tabularnewline
p-value & 0.228902723265232 \tabularnewline
Lambda & 3.90102981428149 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167481&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.925255615543511[/C][/ROW]
[ROW][C]beta[/C][C]-2.90102981428149[/C][/ROW]
[ROW][C]S.D.[/C][C]2.04442974299217[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.41899217824704[/C][/ROW]
[ROW][C]p-value[/C][C]0.228902723265232[/C][/ROW]
[ROW][C]Lambda[/C][C]3.90102981428149[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167481&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167481&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	-0.925255615543511
beta	-2.90102981428149
S.D.	2.04442974299217
T-STAT	-1.41899217824704
p-value	0.228902723265232
Lambda	3.90102981428149

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