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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

Tue, 03 Dec 2013 14:43:18 -0500

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/2013/Dec/03/t1386100069cic2nx1vt4t6zva.htm/, Retrieved Thu, 25 Apr 2024 01:01:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230398, Retrieved Thu, 25 Apr 2024 01:01:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2013-12-03 19:43:18] [0f9b748f6fe1dd88ddc67537cf760c5a] [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	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230398&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230398&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230398&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	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	9042	3272.15558643201	11815
2	9491.75	2907.86992096839	10829
3	10969.3333333333	2956.97051153044	10643
4	10120.75	2987.63774501772	10362
5	9844.33333333333	2688.29697132973	8967
6	10375.1666666667	2461.34423115549	6835

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9042 & 3272.15558643201 & 11815 \tabularnewline
2 & 9491.75 & 2907.86992096839 & 10829 \tabularnewline
3 & 10969.3333333333 & 2956.97051153044 & 10643 \tabularnewline
4 & 10120.75 & 2987.63774501772 & 10362 \tabularnewline
5 & 9844.33333333333 & 2688.29697132973 & 8967 \tabularnewline
6 & 10375.1666666667 & 2461.34423115549 & 6835 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230398&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]9042[/C][C]3272.15558643201[/C][C]11815[/C][/ROW]
[ROW][C]2[/C][C]9491.75[/C][C]2907.86992096839[/C][C]10829[/C][/ROW]
[ROW][C]3[/C][C]10969.3333333333[/C][C]2956.97051153044[/C][C]10643[/C][/ROW]
[ROW][C]4[/C][C]10120.75[/C][C]2987.63774501772[/C][C]10362[/C][/ROW]
[ROW][C]5[/C][C]9844.33333333333[/C][C]2688.29697132973[/C][C]8967[/C][/ROW]
[ROW][C]6[/C][C]10375.1666666667[/C][C]2461.34423115549[/C][C]6835[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230398&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230398&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	9042	3272.15558643201	11815
2	9491.75	2907.86992096839	10829
3	10969.3333333333	2956.97051153044	10643
4	10120.75	2987.63774501772	10362
5	9844.33333333333	2688.29697132973	8967
6	10375.1666666667	2461.34423115549	6835

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4749.25138503349
beta	-0.187510165606313
S.D.	0.181988988626601
T-STAT	-1.03033797276076
p-value	0.361072864210975

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4749.25138503349 \tabularnewline
beta & -0.187510165606313 \tabularnewline
S.D. & 0.181988988626601 \tabularnewline
T-STAT & -1.03033797276076 \tabularnewline
p-value & 0.361072864210975 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230398&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4749.25138503349[/C][/ROW]
[ROW][C]beta[/C][C]-0.187510165606313[/C][/ROW]
[ROW][C]S.D.[/C][C]0.181988988626601[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.03033797276076[/C][/ROW]
[ROW][C]p-value[/C][C]0.361072864210975[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230398&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230398&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	4749.25138503349
beta	-0.187510165606313
S.D.	0.181988988626601
T-STAT	-1.03033797276076
p-value	0.361072864210975

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	14.0724512467253
beta	-0.663839052898864
S.D.	0.638548029737145
T-STAT	-1.03960708041356
p-value	0.357231549603798
Lambda	1.66383905289886

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.0724512467253 \tabularnewline
beta & -0.663839052898864 \tabularnewline
S.D. & 0.638548029737145 \tabularnewline
T-STAT & -1.03960708041356 \tabularnewline
p-value & 0.357231549603798 \tabularnewline
Lambda & 1.66383905289886 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230398&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.0724512467253[/C][/ROW]
[ROW][C]beta[/C][C]-0.663839052898864[/C][/ROW]
[ROW][C]S.D.[/C][C]0.638548029737145[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.03960708041356[/C][/ROW]
[ROW][C]p-value[/C][C]0.357231549603798[/C][/ROW]
[ROW][C]Lambda[/C][C]1.66383905289886[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230398&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230398&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	14.0724512467253
beta	-0.663839052898864
S.D.	0.638548029737145
T-STAT	-1.03960708041356
p-value	0.357231549603798
Lambda	1.66383905289886

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