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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

Fri, 24 Dec 2010 14:47:37 +0000

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/2010/Dec/24/t1293202124wptdsphbk2ppha5.htm/, Retrieved Tue, 30 Apr 2024 04:18:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115036, Retrieved Tue, 30 Apr 2024 04:18:14 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

109

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

-       [Standard Deviation-Mean Plot] [] [2010-12-24 14:47:37] [5e4b6b538311b7e958647ef5010fb0e5] [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=115036&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=115036&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115036&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	634.666666666667	135.801548614368	409
2	639.833333333333	145.229494458275	508
3	706.333333333333	163.343104222277	560
4	785	177.262517188491	619

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 634.666666666667 & 135.801548614368 & 409 \tabularnewline
2 & 639.833333333333 & 145.229494458275 & 508 \tabularnewline
3 & 706.333333333333 & 163.343104222277 & 560 \tabularnewline
4 & 785 & 177.262517188491 & 619 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115036&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]634.666666666667[/C][C]135.801548614368[/C][C]409[/C][/ROW]
[ROW][C]2[/C][C]639.833333333333[/C][C]145.229494458275[/C][C]508[/C][/ROW]
[ROW][C]3[/C][C]706.333333333333[/C][C]163.343104222277[/C][C]560[/C][/ROW]
[ROW][C]4[/C][C]785[/C][C]177.262517188491[/C][C]619[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115036&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115036&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	634.666666666667	135.801548614368	409
2	639.833333333333	145.229494458275	508
3	706.333333333333	163.343104222277	560
4	785	177.262517188491	619

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-21.449924733339
beta	0.255776931636071
S.D.	0.0435285611251144
T-STAT	5.87607136612878
p-value	0.0277614473803504

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -21.449924733339 \tabularnewline
beta & 0.255776931636071 \tabularnewline
S.D. & 0.0435285611251144 \tabularnewline
T-STAT & 5.87607136612878 \tabularnewline
p-value & 0.0277614473803504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115036&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-21.449924733339[/C][/ROW]
[ROW][C]beta[/C][C]0.255776931636071[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0435285611251144[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.87607136612878[/C][/ROW]
[ROW][C]p-value[/C][C]0.0277614473803504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115036&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115036&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	-21.449924733339
beta	0.255776931636071
S.D.	0.0435285611251144
T-STAT	5.87607136612878
p-value	0.0277614473803504

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.50708867217754
beta	1.15498310617964
S.D.	0.209538357373
T-STAT	5.51203665362162
p-value	0.0313729625652835
Lambda	-0.154983106179642

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.50708867217754 \tabularnewline
beta & 1.15498310617964 \tabularnewline
S.D. & 0.209538357373 \tabularnewline
T-STAT & 5.51203665362162 \tabularnewline
p-value & 0.0313729625652835 \tabularnewline
Lambda & -0.154983106179642 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115036&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.50708867217754[/C][/ROW]
[ROW][C]beta[/C][C]1.15498310617964[/C][/ROW]
[ROW][C]S.D.[/C][C]0.209538357373[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.51203665362162[/C][/ROW]
[ROW][C]p-value[/C][C]0.0313729625652835[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.154983106179642[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115036&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115036&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	-2.50708867217754
beta	1.15498310617964
S.D.	0.209538357373
T-STAT	5.51203665362162
p-value	0.0313729625652835
Lambda	-0.154983106179642

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code