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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

Sat, 05 Dec 2009 13:25:58 -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/Dec/05/t1260045396hq06pwjryg8haqf.htm/, Retrieved Tue, 30 Apr 2024 02:09:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64314, Retrieved Tue, 30 Apr 2024 02:09:22 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

130

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

-     [Univariate Data Series] [] [2009-11-25 09:31:30] [1eac2882020791f6c49a90a91c34285a]
- RMP     [Standard Deviation-Mean Plot] [] [2009-12-05 20:25:58] [bcd1d1f32b8895c4dcae2fb4eb5db30a] [Current]
- RMP       [(Partial) Autocorrelation Function] [] [2009-12-05 21:12:51] [1eac2882020791f6c49a90a91c34285a] 

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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=64314&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=64314&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64314&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	100.35	4.89251128426565	11.5
2	95.6	8.28894846567806	20
3	97.2	4.36882898116493	10.1
4	101.775	6.75493646651593	12.7
5	94.8	9.53554752841528	22
6	98.875	8.4005456172005	19
7	101.925	3.46350015639285	6.7
8	95.525	10.0466827029290	22.1
9	102.925	11.3147028242018	22.8
10	99.05	6.6340033162488	13.8
11	92.05	4.60615530205688	9.4
12	103.6	10.2615788258922	21.9
13	91.25	1.88767935130237	4.10000000000001
14	85.05	11.3989765622474	26.2
15	94.35	3.1838132273528	7.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100.35 & 4.89251128426565 & 11.5 \tabularnewline
2 & 95.6 & 8.28894846567806 & 20 \tabularnewline
3 & 97.2 & 4.36882898116493 & 10.1 \tabularnewline
4 & 101.775 & 6.75493646651593 & 12.7 \tabularnewline
5 & 94.8 & 9.53554752841528 & 22 \tabularnewline
6 & 98.875 & 8.4005456172005 & 19 \tabularnewline
7 & 101.925 & 3.46350015639285 & 6.7 \tabularnewline
8 & 95.525 & 10.0466827029290 & 22.1 \tabularnewline
9 & 102.925 & 11.3147028242018 & 22.8 \tabularnewline
10 & 99.05 & 6.6340033162488 & 13.8 \tabularnewline
11 & 92.05 & 4.60615530205688 & 9.4 \tabularnewline
12 & 103.6 & 10.2615788258922 & 21.9 \tabularnewline
13 & 91.25 & 1.88767935130237 & 4.10000000000001 \tabularnewline
14 & 85.05 & 11.3989765622474 & 26.2 \tabularnewline
15 & 94.35 & 3.1838132273528 & 7.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64314&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]100.35[/C][C]4.89251128426565[/C][C]11.5[/C][/ROW]
[ROW][C]2[/C][C]95.6[/C][C]8.28894846567806[/C][C]20[/C][/ROW]
[ROW][C]3[/C][C]97.2[/C][C]4.36882898116493[/C][C]10.1[/C][/ROW]
[ROW][C]4[/C][C]101.775[/C][C]6.75493646651593[/C][C]12.7[/C][/ROW]
[ROW][C]5[/C][C]94.8[/C][C]9.53554752841528[/C][C]22[/C][/ROW]
[ROW][C]6[/C][C]98.875[/C][C]8.4005456172005[/C][C]19[/C][/ROW]
[ROW][C]7[/C][C]101.925[/C][C]3.46350015639285[/C][C]6.7[/C][/ROW]
[ROW][C]8[/C][C]95.525[/C][C]10.0466827029290[/C][C]22.1[/C][/ROW]
[ROW][C]9[/C][C]102.925[/C][C]11.3147028242018[/C][C]22.8[/C][/ROW]
[ROW][C]10[/C][C]99.05[/C][C]6.6340033162488[/C][C]13.8[/C][/ROW]
[ROW][C]11[/C][C]92.05[/C][C]4.60615530205688[/C][C]9.4[/C][/ROW]
[ROW][C]12[/C][C]103.6[/C][C]10.2615788258922[/C][C]21.9[/C][/ROW]
[ROW][C]13[/C][C]91.25[/C][C]1.88767935130237[/C][C]4.10000000000001[/C][/ROW]
[ROW][C]14[/C][C]85.05[/C][C]11.3989765622474[/C][C]26.2[/C][/ROW]
[ROW][C]15[/C][C]94.35[/C][C]3.1838132273528[/C][C]7.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64314&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64314&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	100.35	4.89251128426565	11.5
2	95.6	8.28894846567806	20
3	97.2	4.36882898116493	10.1
4	101.775	6.75493646651593	12.7
5	94.8	9.53554752841528	22
6	98.875	8.4005456172005	19
7	101.925	3.46350015639285	6.7
8	95.525	10.0466827029290	22.1
9	102.925	11.3147028242018	22.8
10	99.05	6.6340033162488	13.8
11	92.05	4.60615530205688	9.4
12	103.6	10.2615788258922	21.9
13	91.25	1.88767935130237	4.10000000000001
14	85.05	11.3989765622474	26.2
15	94.35	3.1838132273528	7.2

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4.39535031046416
beta	0.0268909328760093
S.D.	0.171579153057117
T-STAT	0.156726108019997
p-value	0.877868546309166

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.39535031046416 \tabularnewline
beta & 0.0268909328760093 \tabularnewline
S.D. & 0.171579153057117 \tabularnewline
T-STAT & 0.156726108019997 \tabularnewline
p-value & 0.877868546309166 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64314&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.39535031046416[/C][/ROW]
[ROW][C]beta[/C][C]0.0268909328760093[/C][/ROW]
[ROW][C]S.D.[/C][C]0.171579153057117[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.156726108019997[/C][/ROW]
[ROW][C]p-value[/C][C]0.877868546309166[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64314&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64314&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	4.39535031046416
beta	0.0268909328760093
S.D.	0.171579153057117
T-STAT	0.156726108019997
p-value	0.877868546309166

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.63481039318469
beta	1.19461609088051
S.D.	2.77274860215349
T-STAT	0.430841833245431
p-value	0.673640957875469
Lambda	-0.194616090880515

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.63481039318469 \tabularnewline
beta & 1.19461609088051 \tabularnewline
S.D. & 2.77274860215349 \tabularnewline
T-STAT & 0.430841833245431 \tabularnewline
p-value & 0.673640957875469 \tabularnewline
Lambda & -0.194616090880515 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64314&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.63481039318469[/C][/ROW]
[ROW][C]beta[/C][C]1.19461609088051[/C][/ROW]
[ROW][C]S.D.[/C][C]2.77274860215349[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.430841833245431[/C][/ROW]
[ROW][C]p-value[/C][C]0.673640957875469[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.194616090880515[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64314&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64314&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	-3.63481039318469
beta	1.19461609088051
S.D.	2.77274860215349
T-STAT	0.430841833245431
p-value	0.673640957875469
Lambda	-0.194616090880515

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