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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, 17 May 2008 07:28:19 -0600

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/2008/May/17/t1211030921yu43uvfku9yluer.htm/, Retrieved Tue, 14 May 2024 00:19:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12658, Retrieved Tue, 14 May 2024 00:19:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

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Estimated Impact

217

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

-       [Standard Deviation-Mean Plot] [] [2008-05-17 13:28:19] [15ccabfe3b960eee2f000db554701399] [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	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12658&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]2 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=12658&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12658&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	138521.75	110.807265104776	253
2	139293	351.868346591923	737
3	139909.75	344.492259226048	745
4	140596.25	453.850470970341	1020
5	141954.25	387.803537030457	860
6	142596	144.136509369879	349
7	143464.5	307.810006335077	705
8	144355.75	241.480675555347	583
9	145443.25	459.836474557351	1103
10	145915.25	177.419230449614	432
11	145949.5	150.522423578681	334
12	146283.5	264.258080923429	631

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 138521.75 & 110.807265104776 & 253 \tabularnewline
2 & 139293 & 351.868346591923 & 737 \tabularnewline
3 & 139909.75 & 344.492259226048 & 745 \tabularnewline
4 & 140596.25 & 453.850470970341 & 1020 \tabularnewline
5 & 141954.25 & 387.803537030457 & 860 \tabularnewline
6 & 142596 & 144.136509369879 & 349 \tabularnewline
7 & 143464.5 & 307.810006335077 & 705 \tabularnewline
8 & 144355.75 & 241.480675555347 & 583 \tabularnewline
9 & 145443.25 & 459.836474557351 & 1103 \tabularnewline
10 & 145915.25 & 177.419230449614 & 432 \tabularnewline
11 & 145949.5 & 150.522423578681 & 334 \tabularnewline
12 & 146283.5 & 264.258080923429 & 631 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12658&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]138521.75[/C][C]110.807265104776[/C][C]253[/C][/ROW]
[ROW][C]2[/C][C]139293[/C][C]351.868346591923[/C][C]737[/C][/ROW]
[ROW][C]3[/C][C]139909.75[/C][C]344.492259226048[/C][C]745[/C][/ROW]
[ROW][C]4[/C][C]140596.25[/C][C]453.850470970341[/C][C]1020[/C][/ROW]
[ROW][C]5[/C][C]141954.25[/C][C]387.803537030457[/C][C]860[/C][/ROW]
[ROW][C]6[/C][C]142596[/C][C]144.136509369879[/C][C]349[/C][/ROW]
[ROW][C]7[/C][C]143464.5[/C][C]307.810006335077[/C][C]705[/C][/ROW]
[ROW][C]8[/C][C]144355.75[/C][C]241.480675555347[/C][C]583[/C][/ROW]
[ROW][C]9[/C][C]145443.25[/C][C]459.836474557351[/C][C]1103[/C][/ROW]
[ROW][C]10[/C][C]145915.25[/C][C]177.419230449614[/C][C]432[/C][/ROW]
[ROW][C]11[/C][C]145949.5[/C][C]150.522423578681[/C][C]334[/C][/ROW]
[ROW][C]12[/C][C]146283.5[/C][C]264.258080923429[/C][C]631[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12658&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12658&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	138521.75	110.807265104776	253
2	139293	351.868346591923	737
3	139909.75	344.492259226048	745
4	140596.25	453.850470970341	1020
5	141954.25	387.803537030457	860
6	142596	144.136509369879	349
7	143464.5	307.810006335077	705
8	144355.75	241.480675555347	583
9	145443.25	459.836474557351	1103
10	145915.25	177.419230449614	432
11	145949.5	150.522423578681	334
12	146283.5	264.258080923429	631

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1131.01081512398
beta	-0.00593708622559191
S.D.	0.0135114855640813
T-STAT	-0.439410322235398
p-value	0.66970766012659

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1131.01081512398 \tabularnewline
beta & -0.00593708622559191 \tabularnewline
S.D. & 0.0135114855640813 \tabularnewline
T-STAT & -0.439410322235398 \tabularnewline
p-value & 0.66970766012659 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12658&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1131.01081512398[/C][/ROW]
[ROW][C]beta[/C][C]-0.00593708622559191[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0135114855640813[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.439410322235398[/C][/ROW]
[ROW][C]p-value[/C][C]0.66970766012659[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12658&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12658&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	1131.01081512398
beta	-0.00593708622559191
S.D.	0.0135114855640813
T-STAT	-0.439410322235398
p-value	0.66970766012659

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	24.6935803849586
beta	-1.61299705524479
S.D.	7.69202783425089
T-STAT	-0.209697246292125
p-value	0.838114482779634
Lambda	2.61299705524479

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.6935803849586 \tabularnewline
beta & -1.61299705524479 \tabularnewline
S.D. & 7.69202783425089 \tabularnewline
T-STAT & -0.209697246292125 \tabularnewline
p-value & 0.838114482779634 \tabularnewline
Lambda & 2.61299705524479 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12658&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.6935803849586[/C][/ROW]
[ROW][C]beta[/C][C]-1.61299705524479[/C][/ROW]
[ROW][C]S.D.[/C][C]7.69202783425089[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.209697246292125[/C][/ROW]
[ROW][C]p-value[/C][C]0.838114482779634[/C][/ROW]
[ROW][C]Lambda[/C][C]2.61299705524479[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12658&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12658&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	24.6935803849586
beta	-1.61299705524479
S.D.	7.69202783425089
T-STAT	-0.209697246292125
p-value	0.838114482779634
Lambda	2.61299705524479

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