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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, 29 Dec 2010 13:19:43 +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/29/t1293628650vwagj48oexo7ckx.htm/, Retrieved Fri, 03 May 2024 07:07:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116802, Retrieved Fri, 03 May 2024 07:07:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

108

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

-     [Standard Deviation-Mean Plot] [] [2010-12-22 22:30:51] [29e492448d11757ae0fad5ef6e7f8e86]
-    D    [Standard Deviation-Mean Plot] [] [2010-12-29 13:19:43] [e180d4cd19004beeddc12e67012247dc] [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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116802&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116802&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116802&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.241503	0.166107976657573	0.487003
2	1.04346016666667	0.141226472119226	0.427266
3	0.79689975	0.143407627532737	0.481449
4	0.9247945	0.0655050518530649	0.198544
5	0.97265	0.173649852605754	0.496534
6	1.23913291666667	0.135506204909563	0.43204
7	1.3907675	0.135333288572727	0.536464

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.241503 & 0.166107976657573 & 0.487003 \tabularnewline
2 & 1.04346016666667 & 0.141226472119226 & 0.427266 \tabularnewline
3 & 0.79689975 & 0.143407627532737 & 0.481449 \tabularnewline
4 & 0.9247945 & 0.0655050518530649 & 0.198544 \tabularnewline
5 & 0.97265 & 0.173649852605754 & 0.496534 \tabularnewline
6 & 1.23913291666667 & 0.135506204909563 & 0.43204 \tabularnewline
7 & 1.3907675 & 0.135333288572727 & 0.536464 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116802&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]1.241503[/C][C]0.166107976657573[/C][C]0.487003[/C][/ROW]
[ROW][C]2[/C][C]1.04346016666667[/C][C]0.141226472119226[/C][C]0.427266[/C][/ROW]
[ROW][C]3[/C][C]0.79689975[/C][C]0.143407627532737[/C][C]0.481449[/C][/ROW]
[ROW][C]4[/C][C]0.9247945[/C][C]0.0655050518530649[/C][C]0.198544[/C][/ROW]
[ROW][C]5[/C][C]0.97265[/C][C]0.173649852605754[/C][C]0.496534[/C][/ROW]
[ROW][C]6[/C][C]1.23913291666667[/C][C]0.135506204909563[/C][C]0.43204[/C][/ROW]
[ROW][C]7[/C][C]1.3907675[/C][C]0.135333288572727[/C][C]0.536464[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116802&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116802&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	1.241503	0.166107976657573	0.487003
2	1.04346016666667	0.141226472119226	0.427266
3	0.79689975	0.143407627532737	0.481449
4	0.9247945	0.0655050518530649	0.198544
5	0.97265	0.173649852605754	0.496534
6	1.23913291666667	0.135506204909563	0.43204
7	1.3907675	0.135333288572727	0.536464

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0997720303316187
beta	0.0344756336895052
S.D.	0.072985056648685
T-STAT	0.472365649525413
p-value	0.656563931627859

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0997720303316187 \tabularnewline
beta & 0.0344756336895052 \tabularnewline
S.D. & 0.072985056648685 \tabularnewline
T-STAT & 0.472365649525413 \tabularnewline
p-value & 0.656563931627859 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116802&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0997720303316187[/C][/ROW]
[ROW][C]beta[/C][C]0.0344756336895052[/C][/ROW]
[ROW][C]S.D.[/C][C]0.072985056648685[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.472365649525413[/C][/ROW]
[ROW][C]p-value[/C][C]0.656563931627859[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116802&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116802&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	0.0997720303316187
beta	0.0344756336895052
S.D.	0.072985056648685
T-STAT	0.472365649525413
p-value	0.656563931627859

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.05179863204114
beta	0.410308489276268
S.D.	0.717717394016194
T-STAT	0.571685307750824
p-value	0.592274801515046
Lambda	0.589691510723732

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.05179863204114 \tabularnewline
beta & 0.410308489276268 \tabularnewline
S.D. & 0.717717394016194 \tabularnewline
T-STAT & 0.571685307750824 \tabularnewline
p-value & 0.592274801515046 \tabularnewline
Lambda & 0.589691510723732 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116802&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.05179863204114[/C][/ROW]
[ROW][C]beta[/C][C]0.410308489276268[/C][/ROW]
[ROW][C]S.D.[/C][C]0.717717394016194[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.571685307750824[/C][/ROW]
[ROW][C]p-value[/C][C]0.592274801515046[/C][/ROW]
[ROW][C]Lambda[/C][C]0.589691510723732[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116802&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116802&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	-2.05179863204114
beta	0.410308489276268
S.D.	0.717717394016194
T-STAT	0.571685307750824
p-value	0.592274801515046
Lambda	0.589691510723732

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