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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

Sun, 13 Dec 2009 09:27:54 -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/13/t1260721718x05rlhlrp04fno7.htm/, Retrieved Sun, 28 Apr 2024 05:46:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67359, Retrieved Sun, 28 Apr 2024 05:46:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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

-     [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-12-19 15:14:51] [072df11bdb18ed8d65d8164df87f26f2]
-  MPD    [Standard Deviation-Mean Plot] [] [2009-12-13 16:27:54] [66ffaa9e54a90d3ae4874684602d24e9] [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=67359&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=67359&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67359&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	459.75	3.20156211871642	7
2	459	4.08248290463863	8
3	467.75	7.84750491132904	16
4	464.25	3.77491721763537	9
5	463	2.94392028877595	7
6	471	7.07106781186548	15
7	445.5	5.06622805119022	11
8	426.25	9.10585891976516	22
9	422.25	12.8679187646384	28
10	409.25	3.77491721763537	8
11	396.5	8.66025403784439	21
12	404.25	11.056672193748	23
13	405.5	10.6301458127346	22
14	426.5	3	6
15	448.5	11.7331439378654	26

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 459.75 & 3.20156211871642 & 7 \tabularnewline
2 & 459 & 4.08248290463863 & 8 \tabularnewline
3 & 467.75 & 7.84750491132904 & 16 \tabularnewline
4 & 464.25 & 3.77491721763537 & 9 \tabularnewline
5 & 463 & 2.94392028877595 & 7 \tabularnewline
6 & 471 & 7.07106781186548 & 15 \tabularnewline
7 & 445.5 & 5.06622805119022 & 11 \tabularnewline
8 & 426.25 & 9.10585891976516 & 22 \tabularnewline
9 & 422.25 & 12.8679187646384 & 28 \tabularnewline
10 & 409.25 & 3.77491721763537 & 8 \tabularnewline
11 & 396.5 & 8.66025403784439 & 21 \tabularnewline
12 & 404.25 & 11.056672193748 & 23 \tabularnewline
13 & 405.5 & 10.6301458127346 & 22 \tabularnewline
14 & 426.5 & 3 & 6 \tabularnewline
15 & 448.5 & 11.7331439378654 & 26 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67359&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]459.75[/C][C]3.20156211871642[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]459[/C][C]4.08248290463863[/C][C]8[/C][/ROW]
[ROW][C]3[/C][C]467.75[/C][C]7.84750491132904[/C][C]16[/C][/ROW]
[ROW][C]4[/C][C]464.25[/C][C]3.77491721763537[/C][C]9[/C][/ROW]
[ROW][C]5[/C][C]463[/C][C]2.94392028877595[/C][C]7[/C][/ROW]
[ROW][C]6[/C][C]471[/C][C]7.07106781186548[/C][C]15[/C][/ROW]
[ROW][C]7[/C][C]445.5[/C][C]5.06622805119022[/C][C]11[/C][/ROW]
[ROW][C]8[/C][C]426.25[/C][C]9.10585891976516[/C][C]22[/C][/ROW]
[ROW][C]9[/C][C]422.25[/C][C]12.8679187646384[/C][C]28[/C][/ROW]
[ROW][C]10[/C][C]409.25[/C][C]3.77491721763537[/C][C]8[/C][/ROW]
[ROW][C]11[/C][C]396.5[/C][C]8.66025403784439[/C][C]21[/C][/ROW]
[ROW][C]12[/C][C]404.25[/C][C]11.056672193748[/C][C]23[/C][/ROW]
[ROW][C]13[/C][C]405.5[/C][C]10.6301458127346[/C][C]22[/C][/ROW]
[ROW][C]14[/C][C]426.5[/C][C]3[/C][C]6[/C][/ROW]
[ROW][C]15[/C][C]448.5[/C][C]11.7331439378654[/C][C]26[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67359&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67359&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	459.75	3.20156211871642	7
2	459	4.08248290463863	8
3	467.75	7.84750491132904	16
4	464.25	3.77491721763537	9
5	463	2.94392028877595	7
6	471	7.07106781186548	15
7	445.5	5.06622805119022	11
8	426.25	9.10585891976516	22
9	422.25	12.8679187646384	28
10	409.25	3.77491721763537	8
11	396.5	8.66025403784439	21
12	404.25	11.056672193748	23
13	405.5	10.6301458127346	22
14	426.5	3	6
15	448.5	11.7331439378654	26

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	32.8812891116887
beta	-0.0591243661737563
S.D.	0.0335162872357342
T-STAT	-1.7640487968703
p-value	0.101193344711179

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 32.8812891116887 \tabularnewline
beta & -0.0591243661737563 \tabularnewline
S.D. & 0.0335162872357342 \tabularnewline
T-STAT & -1.7640487968703 \tabularnewline
p-value & 0.101193344711179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67359&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]32.8812891116887[/C][/ROW]
[ROW][C]beta[/C][C]-0.0591243661737563[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0335162872357342[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.7640487968703[/C][/ROW]
[ROW][C]p-value[/C][C]0.101193344711179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67359&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67359&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	32.8812891116887
beta	-0.0591243661737563
S.D.	0.0335162872357342
T-STAT	-1.7640487968703
p-value	0.101193344711179

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	24.5255032408143
beta	-3.73534739810546
S.D.	2.26565665380093
T-STAT	-1.64868202418886
p-value	0.123155552179332
Lambda	4.73534739810546

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.5255032408143 \tabularnewline
beta & -3.73534739810546 \tabularnewline
S.D. & 2.26565665380093 \tabularnewline
T-STAT & -1.64868202418886 \tabularnewline
p-value & 0.123155552179332 \tabularnewline
Lambda & 4.73534739810546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67359&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.5255032408143[/C][/ROW]
[ROW][C]beta[/C][C]-3.73534739810546[/C][/ROW]
[ROW][C]S.D.[/C][C]2.26565665380093[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.64868202418886[/C][/ROW]
[ROW][C]p-value[/C][C]0.123155552179332[/C][/ROW]
[ROW][C]Lambda[/C][C]4.73534739810546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67359&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67359&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	24.5255032408143
beta	-3.73534739810546
S.D.	2.26565665380093
T-STAT	-1.64868202418886
p-value	0.123155552179332
Lambda	4.73534739810546

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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