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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

Fri, 07 Dec 2012 14:04:03 -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/2012/Dec/07/t1354907072qjtwki7e9ocw7m6.htm/, Retrieved Fri, 26 Apr 2024 20:56:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197477, Retrieved Fri, 26 Apr 2024 20:56:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2012-12-07 19:04:03] [352070604de3ea74fb0d919fab6d8592] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197477&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197477&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197477&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	95.9408333333333	0.681635177460431	2.64
2	97.85	0.334718334777712	0.930000000000007
3	97.8533333333333	0.332547558685791	0.950000000000003
4	96.9816666666667	0.482528064814197	1.22
5	96.6141666666667	0.503017410386074	1.53
6	97.4966666666667	0.988537333946505	2.48

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 95.9408333333333 & 0.681635177460431 & 2.64 \tabularnewline
2 & 97.85 & 0.334718334777712 & 0.930000000000007 \tabularnewline
3 & 97.8533333333333 & 0.332547558685791 & 0.950000000000003 \tabularnewline
4 & 96.9816666666667 & 0.482528064814197 & 1.22 \tabularnewline
5 & 96.6141666666667 & 0.503017410386074 & 1.53 \tabularnewline
6 & 97.4966666666667 & 0.988537333946505 & 2.48 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197477&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]95.9408333333333[/C][C]0.681635177460431[/C][C]2.64[/C][/ROW]
[ROW][C]2[/C][C]97.85[/C][C]0.334718334777712[/C][C]0.930000000000007[/C][/ROW]
[ROW][C]3[/C][C]97.8533333333333[/C][C]0.332547558685791[/C][C]0.950000000000003[/C][/ROW]
[ROW][C]4[/C][C]96.9816666666667[/C][C]0.482528064814197[/C][C]1.22[/C][/ROW]
[ROW][C]5[/C][C]96.6141666666667[/C][C]0.503017410386074[/C][C]1.53[/C][/ROW]
[ROW][C]6[/C][C]97.4966666666667[/C][C]0.988537333946505[/C][C]2.48[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197477&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197477&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	95.9408333333333	0.681635177460431	2.64
2	97.85	0.334718334777712	0.930000000000007
3	97.8533333333333	0.332547558685791	0.950000000000003
4	96.9816666666667	0.482528064814197	1.22
5	96.6141666666667	0.503017410386074	1.53
6	97.4966666666667	0.988537333946505	2.48

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	9.78785417706986
beta	-0.095075776678457
S.D.	0.157049068401829
T-STAT	-0.605388988587913
p-value	0.577588822273379

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.78785417706986 \tabularnewline
beta & -0.095075776678457 \tabularnewline
S.D. & 0.157049068401829 \tabularnewline
T-STAT & -0.605388988587913 \tabularnewline
p-value & 0.577588822273379 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197477&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.78785417706986[/C][/ROW]
[ROW][C]beta[/C][C]-0.095075776678457[/C][/ROW]
[ROW][C]S.D.[/C][C]0.157049068401829[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.605388988587913[/C][/ROW]
[ROW][C]p-value[/C][C]0.577588822273379[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197477&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197477&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	9.78785417706986
beta	-0.095075776678457
S.D.	0.157049068401829
T-STAT	-0.605388988587913
p-value	0.577588822273379

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	106.961438744014
beta	-23.520603893871
S.D.	24.1801627429084
T-STAT	-0.972723142683114
p-value	0.385771883121646
Lambda	24.520603893871

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 106.961438744014 \tabularnewline
beta & -23.520603893871 \tabularnewline
S.D. & 24.1801627429084 \tabularnewline
T-STAT & -0.972723142683114 \tabularnewline
p-value & 0.385771883121646 \tabularnewline
Lambda & 24.520603893871 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197477&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]106.961438744014[/C][/ROW]
[ROW][C]beta[/C][C]-23.520603893871[/C][/ROW]
[ROW][C]S.D.[/C][C]24.1801627429084[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.972723142683114[/C][/ROW]
[ROW][C]p-value[/C][C]0.385771883121646[/C][/ROW]
[ROW][C]Lambda[/C][C]24.520603893871[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197477&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197477&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	106.961438744014
beta	-23.520603893871
S.D.	24.1801627429084
T-STAT	-0.972723142683114
p-value	0.385771883121646
Lambda	24.520603893871

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