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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

Wed, 25 Nov 2009 06:02:58 -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/Nov/25/t1259154323c00ywc4f82eiwuz.htm/, Retrieved Tue, 07 May 2024 13:34:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59364, Retrieved Tue, 07 May 2024 13:34:52 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

153

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

-     [Univariate Data Series] [Werkloosheid bij ...] [2009-11-03 09:27:56] [1ff3eeaee490dfcff07aa4917fec66b8]
- RMPD    [Standard Deviation-Mean Plot] [Standard deviatio...] [2009-11-25 13:02:58] [cfc54cb9f3f8d85fe8957f0f7c48844d] [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	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=59364&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=59364&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59364&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	393.5	1.91485421551268	4
2	407	15.121728296285	29
3	416.5	4.43471156521669	10
4	427	2.58198889747161	6
5	435	12.1106014163900	26
6	457.5	4.79583152331272	10
7	460.5	3.10912635102960	7
8	463.75	9.53502316025854	17
9	465	4.89897948556636	12
10	464.5	3.69684550213647	8
11	468.75	8.3815273071201	15
12	452.25	13.4505266315735	29
13	433.25	9.35859676091097	20
14	421.75	13.1244047484067	28
15	410.75	5.85234995535981	14
16	403.25	7.08872343937891	15
17	400.25	14.8632656797444	28
18	401	5.65685424949238	12

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 393.5 & 1.91485421551268 & 4 \tabularnewline
2 & 407 & 15.121728296285 & 29 \tabularnewline
3 & 416.5 & 4.43471156521669 & 10 \tabularnewline
4 & 427 & 2.58198889747161 & 6 \tabularnewline
5 & 435 & 12.1106014163900 & 26 \tabularnewline
6 & 457.5 & 4.79583152331272 & 10 \tabularnewline
7 & 460.5 & 3.10912635102960 & 7 \tabularnewline
8 & 463.75 & 9.53502316025854 & 17 \tabularnewline
9 & 465 & 4.89897948556636 & 12 \tabularnewline
10 & 464.5 & 3.69684550213647 & 8 \tabularnewline
11 & 468.75 & 8.3815273071201 & 15 \tabularnewline
12 & 452.25 & 13.4505266315735 & 29 \tabularnewline
13 & 433.25 & 9.35859676091097 & 20 \tabularnewline
14 & 421.75 & 13.1244047484067 & 28 \tabularnewline
15 & 410.75 & 5.85234995535981 & 14 \tabularnewline
16 & 403.25 & 7.08872343937891 & 15 \tabularnewline
17 & 400.25 & 14.8632656797444 & 28 \tabularnewline
18 & 401 & 5.65685424949238 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59364&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]393.5[/C][C]1.91485421551268[/C][C]4[/C][/ROW]
[ROW][C]2[/C][C]407[/C][C]15.121728296285[/C][C]29[/C][/ROW]
[ROW][C]3[/C][C]416.5[/C][C]4.43471156521669[/C][C]10[/C][/ROW]
[ROW][C]4[/C][C]427[/C][C]2.58198889747161[/C][C]6[/C][/ROW]
[ROW][C]5[/C][C]435[/C][C]12.1106014163900[/C][C]26[/C][/ROW]
[ROW][C]6[/C][C]457.5[/C][C]4.79583152331272[/C][C]10[/C][/ROW]
[ROW][C]7[/C][C]460.5[/C][C]3.10912635102960[/C][C]7[/C][/ROW]
[ROW][C]8[/C][C]463.75[/C][C]9.53502316025854[/C][C]17[/C][/ROW]
[ROW][C]9[/C][C]465[/C][C]4.89897948556636[/C][C]12[/C][/ROW]
[ROW][C]10[/C][C]464.5[/C][C]3.69684550213647[/C][C]8[/C][/ROW]
[ROW][C]11[/C][C]468.75[/C][C]8.3815273071201[/C][C]15[/C][/ROW]
[ROW][C]12[/C][C]452.25[/C][C]13.4505266315735[/C][C]29[/C][/ROW]
[ROW][C]13[/C][C]433.25[/C][C]9.35859676091097[/C][C]20[/C][/ROW]
[ROW][C]14[/C][C]421.75[/C][C]13.1244047484067[/C][C]28[/C][/ROW]
[ROW][C]15[/C][C]410.75[/C][C]5.85234995535981[/C][C]14[/C][/ROW]
[ROW][C]16[/C][C]403.25[/C][C]7.08872343937891[/C][C]15[/C][/ROW]
[ROW][C]17[/C][C]400.25[/C][C]14.8632656797444[/C][C]28[/C][/ROW]
[ROW][C]18[/C][C]401[/C][C]5.65685424949238[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59364&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59364&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	393.5	1.91485421551268	4
2	407	15.121728296285	29
3	416.5	4.43471156521669	10
4	427	2.58198889747161	6
5	435	12.1106014163900	26
6	457.5	4.79583152331272	10
7	460.5	3.10912635102960	7
8	463.75	9.53502316025854	17
9	465	4.89897948556636	12
10	464.5	3.69684550213647	8
11	468.75	8.3815273071201	15
12	452.25	13.4505266315735	29
13	433.25	9.35859676091097	20
14	421.75	13.1244047484067	28
15	410.75	5.85234995535981	14
16	403.25	7.08872343937891	15
17	400.25	14.8632656797444	28
18	401	5.65685424949238	12

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	17.1387517017524
beta	-0.0216566974807399
S.D.	0.04068999638609
T-STAT	-0.532236407082683
p-value	0.601875649909184

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 17.1387517017524 \tabularnewline
beta & -0.0216566974807399 \tabularnewline
S.D. & 0.04068999638609 \tabularnewline
T-STAT & -0.532236407082683 \tabularnewline
p-value & 0.601875649909184 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59364&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17.1387517017524[/C][/ROW]
[ROW][C]beta[/C][C]-0.0216566974807399[/C][/ROW]
[ROW][C]S.D.[/C][C]0.04068999638609[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.532236407082683[/C][/ROW]
[ROW][C]p-value[/C][C]0.601875649909184[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59364&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59364&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	17.1387517017524
beta	-0.0216566974807399
S.D.	0.04068999638609
T-STAT	-0.532236407082683
p-value	0.601875649909184

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.88283048736659
beta	-0.330060679802735
S.D.	2.54247641878027
T-STAT	-0.129818580563701
p-value	0.898328009413242
Lambda	1.33006067980273

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.88283048736659 \tabularnewline
beta & -0.330060679802735 \tabularnewline
S.D. & 2.54247641878027 \tabularnewline
T-STAT & -0.129818580563701 \tabularnewline
p-value & 0.898328009413242 \tabularnewline
Lambda & 1.33006067980273 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59364&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.88283048736659[/C][/ROW]
[ROW][C]beta[/C][C]-0.330060679802735[/C][/ROW]
[ROW][C]S.D.[/C][C]2.54247641878027[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.129818580563701[/C][/ROW]
[ROW][C]p-value[/C][C]0.898328009413242[/C][/ROW]
[ROW][C]Lambda[/C][C]1.33006067980273[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59364&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59364&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	3.88283048736659
beta	-0.330060679802735
S.D.	2.54247641878027
T-STAT	-0.129818580563701
p-value	0.898328009413242
Lambda	1.33006067980273

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code