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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

Fri, 18 Dec 2009 08:27:35 -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/2009/Dec/18/t12611532303p6oqg3i947zo7t.htm/, Retrieved Sat, 27 Apr 2024 09:26:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69417, Retrieved Sat, 27 Apr 2024 09:26:25 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

120

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
- R PD          [Standard Deviation-Mean Plot] [] [2009-12-18 15:27:35] [21edaefb91319406e70b6c03c71b58b3] [Current]

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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69417&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69417&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69417&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	491.5	28.1957443597434	70
2	538.083333333333	30.422654039184	79
3	576.666666666667	29.105867366418	76
4	596.25	21.9757097310148	62
5	588.333333333333	22.7129651934482	69
6	532.583333333333	21.8318296960834	66
7	504.916666666667	19.5794806010287	65

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 491.5 & 28.1957443597434 & 70 \tabularnewline
2 & 538.083333333333 & 30.422654039184 & 79 \tabularnewline
3 & 576.666666666667 & 29.105867366418 & 76 \tabularnewline
4 & 596.25 & 21.9757097310148 & 62 \tabularnewline
5 & 588.333333333333 & 22.7129651934482 & 69 \tabularnewline
6 & 532.583333333333 & 21.8318296960834 & 66 \tabularnewline
7 & 504.916666666667 & 19.5794806010287 & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69417&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]491.5[/C][C]28.1957443597434[/C][C]70[/C][/ROW]
[ROW][C]2[/C][C]538.083333333333[/C][C]30.422654039184[/C][C]79[/C][/ROW]
[ROW][C]3[/C][C]576.666666666667[/C][C]29.105867366418[/C][C]76[/C][/ROW]
[ROW][C]4[/C][C]596.25[/C][C]21.9757097310148[/C][C]62[/C][/ROW]
[ROW][C]5[/C][C]588.333333333333[/C][C]22.7129651934482[/C][C]69[/C][/ROW]
[ROW][C]6[/C][C]532.583333333333[/C][C]21.8318296960834[/C][C]66[/C][/ROW]
[ROW][C]7[/C][C]504.916666666667[/C][C]19.5794806010287[/C][C]65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69417&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69417&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	491.5	28.1957443597434	70
2	538.083333333333	30.422654039184	79
3	576.666666666667	29.105867366418	76
4	596.25	21.9757097310148	62
5	588.333333333333	22.7129651934482	69
6	532.583333333333	21.8318296960834	66
7	504.916666666667	19.5794806010287	65

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	28.8026276404408
beta	-0.00726011558454475
S.D.	0.0464526859061319
T-STAT	-0.156290544732235
p-value	0.881918433493127

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28.8026276404408 \tabularnewline
beta & -0.00726011558454475 \tabularnewline
S.D. & 0.0464526859061319 \tabularnewline
T-STAT & -0.156290544732235 \tabularnewline
p-value & 0.881918433493127 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69417&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28.8026276404408[/C][/ROW]
[ROW][C]beta[/C][C]-0.00726011558454475[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0464526859061319[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156290544732235[/C][/ROW]
[ROW][C]p-value[/C][C]0.881918433493127[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69417&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69417&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	28.8026276404408
beta	-0.00726011558454475
S.D.	0.0464526859061319
T-STAT	-0.156290544732235
p-value	0.881918433493127

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.81302343025321
beta	-0.0973671663592349
S.D.	1.01586041909279
T-STAT	-0.0958469928833213
p-value	0.927365085826664
Lambda	1.09736716635923

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.81302343025321 \tabularnewline
beta & -0.0973671663592349 \tabularnewline
S.D. & 1.01586041909279 \tabularnewline
T-STAT & -0.0958469928833213 \tabularnewline
p-value & 0.927365085826664 \tabularnewline
Lambda & 1.09736716635923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69417&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.81302343025321[/C][/ROW]
[ROW][C]beta[/C][C]-0.0973671663592349[/C][/ROW]
[ROW][C]S.D.[/C][C]1.01586041909279[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0958469928833213[/C][/ROW]
[ROW][C]p-value[/C][C]0.927365085826664[/C][/ROW]
[ROW][C]Lambda[/C][C]1.09736716635923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69417&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69417&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	3.81302343025321
beta	-0.0973671663592349
S.D.	1.01586041909279
T-STAT	-0.0958469928833213
p-value	0.927365085826664
Lambda	1.09736716635923

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 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