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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

Tue, 01 Dec 2009 11:38:23 -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/2009/Dec/01/t12596927607jmnu6v6gzs8vru.htm/, Retrieved Fri, 26 Apr 2024 17:41:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62169, Retrieved Fri, 26 Apr 2024 17:41:59 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

141

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-01 18:38:23] [4057bfb3a128b4e91b455d276991f7f0] [Current]

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Dataseries X:

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Histogram

Boxplots

8,3
8,2
8
7,9
7,6
7,6
8,3
8,4
8,4
8,4
8,4
8,6
8,9
8,8
8,3
7,5
7,2
7,4
8,8
9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,5
8,2
8,1
7,9
8,6
8,7
8,7
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8
8,2
8,1
8,1
8
7,9
7,9
8
8
7,9
8
7,7
7,2
7,5
7,3
7
7
7
7,2
7,3
7,1
6,8
6,4
6,1
6,5
7,7
7,9
7,5
6,9
6,6
6,9

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62169&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]1 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=62169&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62169&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	8.175	0.3278719262151	1
2	8.39166666666667	0.712815586674464	2.1
3	8.43333333333333	0.246182981958665	0.799999999999999
4	8.25	0.303015151136344	0.799999999999999
5	7.48333333333333	0.417423554968361	1
6	6.975	0.546268332332281	1.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.175 & 0.3278719262151 & 1 \tabularnewline
2 & 8.39166666666667 & 0.712815586674464 & 2.1 \tabularnewline
3 & 8.43333333333333 & 0.246182981958665 & 0.799999999999999 \tabularnewline
4 & 8.25 & 0.303015151136344 & 0.799999999999999 \tabularnewline
5 & 7.48333333333333 & 0.417423554968361 & 1 \tabularnewline
6 & 6.975 & 0.546268332332281 & 1.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62169&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]8.175[/C][C]0.3278719262151[/C][C]1[/C][/ROW]
[ROW][C]2[/C][C]8.39166666666667[/C][C]0.712815586674464[/C][C]2.1[/C][/ROW]
[ROW][C]3[/C][C]8.43333333333333[/C][C]0.246182981958665[/C][C]0.799999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.25[/C][C]0.303015151136344[/C][C]0.799999999999999[/C][/ROW]
[ROW][C]5[/C][C]7.48333333333333[/C][C]0.417423554968361[/C][C]1[/C][/ROW]
[ROW][C]6[/C][C]6.975[/C][C]0.546268332332281[/C][C]1.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62169&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62169&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	8.175	0.3278719262151	1
2	8.39166666666667	0.712815586674464	2.1
3	8.43333333333333	0.246182981958665	0.799999999999999
4	8.25	0.303015151136344	0.799999999999999
5	7.48333333333333	0.417423554968361	1
6	6.975	0.546268332332281	1.8

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.03173173048285
beta	-0.0762301383324755
S.D.	0.143829778184420
T-STAT	-0.530002474416197
p-value	0.624165249166404

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.03173173048285 \tabularnewline
beta & -0.0762301383324755 \tabularnewline
S.D. & 0.143829778184420 \tabularnewline
T-STAT & -0.530002474416197 \tabularnewline
p-value & 0.624165249166404 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62169&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.03173173048285[/C][/ROW]
[ROW][C]beta[/C][C]-0.0762301383324755[/C][/ROW]
[ROW][C]S.D.[/C][C]0.143829778184420[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.530002474416197[/C][/ROW]
[ROW][C]p-value[/C][C]0.624165249166404[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62169&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62169&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	1.03173173048285
beta	-0.0762301383324755
S.D.	0.143829778184420
T-STAT	-0.530002474416197
p-value	0.624165249166404

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.08305251300894
beta	-1.93356205631327
S.D.	2.40009386791101
T-STAT	-0.80561934771168
p-value	0.465626127580448
Lambda	2.93356205631327

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.08305251300894 \tabularnewline
beta & -1.93356205631327 \tabularnewline
S.D. & 2.40009386791101 \tabularnewline
T-STAT & -0.80561934771168 \tabularnewline
p-value & 0.465626127580448 \tabularnewline
Lambda & 2.93356205631327 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62169&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.08305251300894[/C][/ROW]
[ROW][C]beta[/C][C]-1.93356205631327[/C][/ROW]
[ROW][C]S.D.[/C][C]2.40009386791101[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.80561934771168[/C][/ROW]
[ROW][C]p-value[/C][C]0.465626127580448[/C][/ROW]
[ROW][C]Lambda[/C][C]2.93356205631327[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62169&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62169&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	3.08305251300894
beta	-1.93356205631327
S.D.	2.40009386791101
T-STAT	-0.80561934771168
p-value	0.465626127580448
Lambda	2.93356205631327

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