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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

Wed, 24 Dec 2008 05:05:00 -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/2008/Dec/24/t1230120347o2ltqnke28euidg.htm/, Retrieved Sun, 19 May 2024 12:42:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36501, Retrieved Sun, 19 May 2024 12:42:34 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

194

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

-       [Standard Deviation-Mean Plot] [SD Mean Plot] [2008-12-24 12:05:00] [52492148dbcac26917ed19e489351f79] [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	0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36501&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]0 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=36501&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36501&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	0 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	482.75	24.8381122105086	70
2	522.916666666667	24.9634581423376	79
3	562.666666666667	21.98897795522	74
4	594.666666666667	20.2903171413601	62
5	596.75	20.4367093953281	55
6	552.416666666667	32.9916196888993	121

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 482.75 & 24.8381122105086 & 70 \tabularnewline
2 & 522.916666666667 & 24.9634581423376 & 79 \tabularnewline
3 & 562.666666666667 & 21.98897795522 & 74 \tabularnewline
4 & 594.666666666667 & 20.2903171413601 & 62 \tabularnewline
5 & 596.75 & 20.4367093953281 & 55 \tabularnewline
6 & 552.416666666667 & 32.9916196888993 & 121 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36501&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]482.75[/C][C]24.8381122105086[/C][C]70[/C][/ROW]
[ROW][C]2[/C][C]522.916666666667[/C][C]24.9634581423376[/C][C]79[/C][/ROW]
[ROW][C]3[/C][C]562.666666666667[/C][C]21.98897795522[/C][C]74[/C][/ROW]
[ROW][C]4[/C][C]594.666666666667[/C][C]20.2903171413601[/C][C]62[/C][/ROW]
[ROW][C]5[/C][C]596.75[/C][C]20.4367093953281[/C][C]55[/C][/ROW]
[ROW][C]6[/C][C]552.416666666667[/C][C]32.9916196888993[/C][C]121[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36501&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36501&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	482.75	24.8381122105086	70
2	522.916666666667	24.9634581423376	79
3	562.666666666667	21.98897795522	74
4	594.666666666667	20.2903171413601	62
5	596.75	20.4367093953281	55
6	552.416666666667	32.9916196888993	121

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	48.5462604183638
beta	-0.0440099737261196
S.D.	0.0495457774966003
T-STAT	-0.888268909073825
p-value	0.424584635538277

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 48.5462604183638 \tabularnewline
beta & -0.0440099737261196 \tabularnewline
S.D. & 0.0495457774966003 \tabularnewline
T-STAT & -0.888268909073825 \tabularnewline
p-value & 0.424584635538277 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36501&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48.5462604183638[/C][/ROW]
[ROW][C]beta[/C][C]-0.0440099737261196[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0495457774966003[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.888268909073825[/C][/ROW]
[ROW][C]p-value[/C][C]0.424584635538277[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36501&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36501&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	48.5462604183638
beta	-0.0440099737261196
S.D.	0.0495457774966003
T-STAT	-0.888268909073825
p-value	0.424584635538277

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	9.56507763652045
beta	-1.01270266766997
S.D.	1.00193351584848
T-STAT	-1.01074836967837
p-value	0.369311185408017
Lambda	2.01270266766997

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.56507763652045 \tabularnewline
beta & -1.01270266766997 \tabularnewline
S.D. & 1.00193351584848 \tabularnewline
T-STAT & -1.01074836967837 \tabularnewline
p-value & 0.369311185408017 \tabularnewline
Lambda & 2.01270266766997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36501&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.56507763652045[/C][/ROW]
[ROW][C]beta[/C][C]-1.01270266766997[/C][/ROW]
[ROW][C]S.D.[/C][C]1.00193351584848[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.01074836967837[/C][/ROW]
[ROW][C]p-value[/C][C]0.369311185408017[/C][/ROW]
[ROW][C]Lambda[/C][C]2.01270266766997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36501&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36501&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	9.56507763652045
beta	-1.01270266766997
S.D.	1.00193351584848
T-STAT	-1.01074836967837
p-value	0.369311185408017
Lambda	2.01270266766997

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 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