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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

Thu, 01 Dec 2011 07:14:10 -0500

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/2011/Dec/01/t1322741682q20w1aq1g9jyf2u.htm/, Retrieved Wed, 24 Apr 2024 16:03:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149246, Retrieved Wed, 24 Apr 2024 16:03:14 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

199

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

-     [(Partial) Autocorrelation Function] [Autocorrelation f...] [2011-12-01 11:43:29] [bc54fcbdb4f9c071218969745a8ec94b]
- RMP   [Spectral Analysis] [Spectral Analysis] [2011-12-01 11:58:37] [bc54fcbdb4f9c071218969745a8ec94b]
- R P     [Spectral Analysis] [Spectral Analysis] [2011-12-01 12:01:59] [bc54fcbdb4f9c071218969745a8ec94b]
-   P       [Spectral Analysis] [Spectral Analysis...] [2011-12-01 12:05:16] [bc54fcbdb4f9c071218969745a8ec94b]
- RMP           [Standard Deviation-Mean Plot] [Standard Deviatio...] [2011-12-01 12:14:10] [f59ea4acf51788e47c4ec521df29536b] [Current]

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Dataseries X:

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149246&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149246&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149246&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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1226136.16666667	410509.837147621	1015797
2	1662073.33333333	903757.878300525	2089908
3	1239921.5	412799.527301449	1046697
4	1680277.33333333	968353.185896689	2493956
5	1235390.16666667	425299.393180106	1001592
6	1741718.5	857609.213470739	1985760
7	1207766.66666667	362664.617888576	867303
8	1686315.66666667	875497.427095858	2009825
9	1216620.5	381589.013084365	1033360
10	1714510.83333333	905299.44544055	2067935
11	1188228.33333333	372180.700411865	831208
12	1702953.5	897055.002284197	2006072

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1226136.16666667 & 410509.837147621 & 1015797 \tabularnewline
2 & 1662073.33333333 & 903757.878300525 & 2089908 \tabularnewline
3 & 1239921.5 & 412799.527301449 & 1046697 \tabularnewline
4 & 1680277.33333333 & 968353.185896689 & 2493956 \tabularnewline
5 & 1235390.16666667 & 425299.393180106 & 1001592 \tabularnewline
6 & 1741718.5 & 857609.213470739 & 1985760 \tabularnewline
7 & 1207766.66666667 & 362664.617888576 & 867303 \tabularnewline
8 & 1686315.66666667 & 875497.427095858 & 2009825 \tabularnewline
9 & 1216620.5 & 381589.013084365 & 1033360 \tabularnewline
10 & 1714510.83333333 & 905299.44544055 & 2067935 \tabularnewline
11 & 1188228.33333333 & 372180.700411865 & 831208 \tabularnewline
12 & 1702953.5 & 897055.002284197 & 2006072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149246&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]1226136.16666667[/C][C]410509.837147621[/C][C]1015797[/C][/ROW]
[ROW][C]2[/C][C]1662073.33333333[/C][C]903757.878300525[/C][C]2089908[/C][/ROW]
[ROW][C]3[/C][C]1239921.5[/C][C]412799.527301449[/C][C]1046697[/C][/ROW]
[ROW][C]4[/C][C]1680277.33333333[/C][C]968353.185896689[/C][C]2493956[/C][/ROW]
[ROW][C]5[/C][C]1235390.16666667[/C][C]425299.393180106[/C][C]1001592[/C][/ROW]
[ROW][C]6[/C][C]1741718.5[/C][C]857609.213470739[/C][C]1985760[/C][/ROW]
[ROW][C]7[/C][C]1207766.66666667[/C][C]362664.617888576[/C][C]867303[/C][/ROW]
[ROW][C]8[/C][C]1686315.66666667[/C][C]875497.427095858[/C][C]2009825[/C][/ROW]
[ROW][C]9[/C][C]1216620.5[/C][C]381589.013084365[/C][C]1033360[/C][/ROW]
[ROW][C]10[/C][C]1714510.83333333[/C][C]905299.44544055[/C][C]2067935[/C][/ROW]
[ROW][C]11[/C][C]1188228.33333333[/C][C]372180.700411865[/C][C]831208[/C][/ROW]
[ROW][C]12[/C][C]1702953.5[/C][C]897055.002284197[/C][C]2006072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149246&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149246&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	1226136.16666667	410509.837147621	1015797
2	1662073.33333333	903757.878300525	2089908
3	1239921.5	412799.527301449	1046697
4	1680277.33333333	968353.185896689	2493956
5	1235390.16666667	425299.393180106	1001592
6	1741718.5	857609.213470739	1985760
7	1207766.66666667	362664.617888576	867303
8	1686315.66666667	875497.427095858	2009825
9	1216620.5	381589.013084365	1033360
10	1714510.83333333	905299.44544055	2067935
11	1188228.33333333	372180.700411865	831208
12	1702953.5	897055.002284197	2006072

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-881937.614708637
beta	1.04879204589819
S.D.	0.0514361899518697
T-STAT	20.3901581139579
p-value	1.77655190615252e-09

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -881937.614708637 \tabularnewline
beta & 1.04879204589819 \tabularnewline
S.D. & 0.0514361899518697 \tabularnewline
T-STAT & 20.3901581139579 \tabularnewline
p-value & 1.77655190615252e-09 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149246&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-881937.614708637[/C][/ROW]
[ROW][C]beta[/C][C]1.04879204589819[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0514361899518697[/C][/ROW]
[ROW][C]T-STAT[/C][C]20.3901581139579[/C][/ROW]
[ROW][C]p-value[/C][C]1.77655190615252e-09[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149246&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149246&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	-881937.614708637
beta	1.04879204589819
S.D.	0.0514361899518697
T-STAT	20.3901581139579
p-value	1.77655190615252e-09

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-21.9601495518562
beta	2.48653834220601
S.D.	0.0998556056263832
T-STAT	24.9013395553332
p-value	2.49474067719981e-10
Lambda	-1.48653834220601

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -21.9601495518562 \tabularnewline
beta & 2.48653834220601 \tabularnewline
S.D. & 0.0998556056263832 \tabularnewline
T-STAT & 24.9013395553332 \tabularnewline
p-value & 2.49474067719981e-10 \tabularnewline
Lambda & -1.48653834220601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149246&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-21.9601495518562[/C][/ROW]
[ROW][C]beta[/C][C]2.48653834220601[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0998556056263832[/C][/ROW]
[ROW][C]T-STAT[/C][C]24.9013395553332[/C][/ROW]
[ROW][C]p-value[/C][C]2.49474067719981e-10[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.48653834220601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149246&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149246&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	-21.9601495518562
beta	2.48653834220601
S.D.	0.0998556056263832
T-STAT	24.9013395553332
p-value	2.49474067719981e-10
Lambda	-1.48653834220601

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