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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, 13 May 2008 06:52:14 -0600

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/May/13/t12106832409tj6fz4x8n1oc0c.htm/, Retrieved Wed, 15 May 2024 21:14:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12479, Retrieved Wed, 15 May 2024 21:14:40 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

222

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

-       [Standard Deviation-Mean Plot] [Hans Van de Paer ...] [2008-05-13 12:52:14] [5f22b470c9f884f89ba28cade77c8f91] [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	2 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 & 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=12479&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' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12479&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12479&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' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	219.066666666667	0.719518357421592	1.94000000000000
2	219.898333333333	0.157406056639076	0.329999999999984
3	230.026666666667	5.77438019762006	13.7300000000000
4	233.798333333333	0.0899814795758876	0.229999999999990
5	235.865	1.31469768388021	3.09999999999999
6	236.915	0.0703562363973513	0.189999999999998
7	237.366666666667	0.225890829089330	0.629999999999995
8	237.233333333333	0.0958471004604017	0.240000000000009
9	239.538333333333	1.42360692140305	3.56999999999999
10	240.295	0.0234520787991176	0.0699999999999932
11	241.293333333333	0.961783066323525	2.38000000000002
12	241.633333333333	0.230709051982512	0.580000000000013

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 219.066666666667 & 0.719518357421592 & 1.94000000000000 \tabularnewline
2 & 219.898333333333 & 0.157406056639076 & 0.329999999999984 \tabularnewline
3 & 230.026666666667 & 5.77438019762006 & 13.7300000000000 \tabularnewline
4 & 233.798333333333 & 0.0899814795758876 & 0.229999999999990 \tabularnewline
5 & 235.865 & 1.31469768388021 & 3.09999999999999 \tabularnewline
6 & 236.915 & 0.0703562363973513 & 0.189999999999998 \tabularnewline
7 & 237.366666666667 & 0.225890829089330 & 0.629999999999995 \tabularnewline
8 & 237.233333333333 & 0.0958471004604017 & 0.240000000000009 \tabularnewline
9 & 239.538333333333 & 1.42360692140305 & 3.56999999999999 \tabularnewline
10 & 240.295 & 0.0234520787991176 & 0.0699999999999932 \tabularnewline
11 & 241.293333333333 & 0.961783066323525 & 2.38000000000002 \tabularnewline
12 & 241.633333333333 & 0.230709051982512 & 0.580000000000013 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12479&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]219.066666666667[/C][C]0.719518357421592[/C][C]1.94000000000000[/C][/ROW]
[ROW][C]2[/C][C]219.898333333333[/C][C]0.157406056639076[/C][C]0.329999999999984[/C][/ROW]
[ROW][C]3[/C][C]230.026666666667[/C][C]5.77438019762006[/C][C]13.7300000000000[/C][/ROW]
[ROW][C]4[/C][C]233.798333333333[/C][C]0.0899814795758876[/C][C]0.229999999999990[/C][/ROW]
[ROW][C]5[/C][C]235.865[/C][C]1.31469768388021[/C][C]3.09999999999999[/C][/ROW]
[ROW][C]6[/C][C]236.915[/C][C]0.0703562363973513[/C][C]0.189999999999998[/C][/ROW]
[ROW][C]7[/C][C]237.366666666667[/C][C]0.225890829089330[/C][C]0.629999999999995[/C][/ROW]
[ROW][C]8[/C][C]237.233333333333[/C][C]0.0958471004604017[/C][C]0.240000000000009[/C][/ROW]
[ROW][C]9[/C][C]239.538333333333[/C][C]1.42360692140305[/C][C]3.56999999999999[/C][/ROW]
[ROW][C]10[/C][C]240.295[/C][C]0.0234520787991176[/C][C]0.0699999999999932[/C][/ROW]
[ROW][C]11[/C][C]241.293333333333[/C][C]0.961783066323525[/C][C]2.38000000000002[/C][/ROW]
[ROW][C]12[/C][C]241.633333333333[/C][C]0.230709051982512[/C][C]0.580000000000013[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12479&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12479&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	219.066666666667	0.719518357421592	1.94000000000000
2	219.898333333333	0.157406056639076	0.329999999999984
3	230.026666666667	5.77438019762006	13.7300000000000
4	233.798333333333	0.0899814795758876	0.229999999999990
5	235.865	1.31469768388021	3.09999999999999
6	236.915	0.0703562363973513	0.189999999999998
7	237.366666666667	0.225890829089330	0.629999999999995
8	237.233333333333	0.0958471004604017	0.240000000000009
9	239.538333333333	1.42360692140305	3.56999999999999
10	240.295	0.0234520787991176	0.0699999999999932
11	241.293333333333	0.961783066323525	2.38000000000002
12	241.633333333333	0.230709051982512	0.580000000000013

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	8.10407967399983
beta	-0.0306304554426899
S.D.	0.0653825197641712
T-STAT	-0.468480804245098
p-value	0.649485875617907

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 8.10407967399983 \tabularnewline
beta & -0.0306304554426899 \tabularnewline
S.D. & 0.0653825197641712 \tabularnewline
T-STAT & -0.468480804245098 \tabularnewline
p-value & 0.649485875617907 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12479&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.10407967399983[/C][/ROW]
[ROW][C]beta[/C][C]-0.0306304554426899[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0653825197641712[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.468480804245098[/C][/ROW]
[ROW][C]p-value[/C][C]0.649485875617907[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12479&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12479&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	8.10407967399983
beta	-0.0306304554426899
S.D.	0.0653825197641712
T-STAT	-0.468480804245098
p-value	0.649485875617907

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	42.0965343713674
beta	-7.927901902673
S.D.	14.6932602715598
T-STAT	-0.539560434930715
p-value	0.601306910268111
Lambda	8.927901902673

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 42.0965343713674 \tabularnewline
beta & -7.927901902673 \tabularnewline
S.D. & 14.6932602715598 \tabularnewline
T-STAT & -0.539560434930715 \tabularnewline
p-value & 0.601306910268111 \tabularnewline
Lambda & 8.927901902673 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12479&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]42.0965343713674[/C][/ROW]
[ROW][C]beta[/C][C]-7.927901902673[/C][/ROW]
[ROW][C]S.D.[/C][C]14.6932602715598[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.539560434930715[/C][/ROW]
[ROW][C]p-value[/C][C]0.601306910268111[/C][/ROW]
[ROW][C]Lambda[/C][C]8.927901902673[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12479&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12479&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	42.0965343713674
beta	-7.927901902673
S.D.	14.6932602715598
T-STAT	-0.539560434930715
p-value	0.601306910268111
Lambda	8.927901902673

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ;

Parameters (R input):

par1 = 6 ;

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