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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, 04 Dec 2009 04:24:42 -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/04/t12599259613lkmj4qbqh3px3g.htm/, Retrieved Sat, 27 Apr 2024 15:29:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63291, Retrieved Sat, 27 Apr 2024 15:29:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

132

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] [WS9Het1] [2009-12-04 11:24:42] [30970b478e356ce7f8c2e9fca280b230] [Current]
-    D        [Standard Deviation-Mean Plot] [Landa] [2009-12-11 10:24:01] [a94022e7c2399c0f4d62eea578db3411] 
-    D        [Standard Deviation-Mean Plot] [] [2010-12-07 09:04:12] [fb3a7008aea9486db3846dc25434607b] 

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Dataseries X:

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Histogram

Boxplots

10.9
10
9.2
9.2
9.5
9.6
9.5
9.1
8.9
9
10.1
10.3
10.2
9.6
9.2
9.3
9.4
9.4
9.2
9
9
9
9.8
10
9.8
9.3
9
9
9.1
9.1
9.1
9.2
8.8
8.3
8.4
8.1
7.7
7.9
7.9
8
7.9
7.6
7.1
6.8
6.5
6.9
8.2
8.7
8.3
7.9
7.5
7.8
8.3
8.4
8.2
7.7
7.2
7.3
8.1
8.5

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=63291&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=63291&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63291&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	9.60833333333333	0.60521721620248	2
2	9.425	0.400283990096122	1.2
3	8.93333333333333	0.471618746896519	1.7
4	7.6	0.646669790682863	2.2
5	7.93333333333333	0.437624441176623	1.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.60833333333333 & 0.60521721620248 & 2 \tabularnewline
2 & 9.425 & 0.400283990096122 & 1.2 \tabularnewline
3 & 8.93333333333333 & 0.471618746896519 & 1.7 \tabularnewline
4 & 7.6 & 0.646669790682863 & 2.2 \tabularnewline
5 & 7.93333333333333 & 0.437624441176623 & 1.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63291&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]9.60833333333333[/C][C]0.60521721620248[/C][C]2[/C][/ROW]
[ROW][C]2[/C][C]9.425[/C][C]0.400283990096122[/C][C]1.2[/C][/ROW]
[ROW][C]3[/C][C]8.93333333333333[/C][C]0.471618746896519[/C][C]1.7[/C][/ROW]
[ROW][C]4[/C][C]7.6[/C][C]0.646669790682863[/C][C]2.2[/C][/ROW]
[ROW][C]5[/C][C]7.93333333333333[/C][C]0.437624441176623[/C][C]1.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63291&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63291&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	9.60833333333333	0.60521721620248	2
2	9.425	0.400283990096122	1.2
3	8.93333333333333	0.471618746896519	1.7
4	7.6	0.646669790682863	2.2
5	7.93333333333333	0.437624441176623	1.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.775380080058693
beta	-0.0302410624192841
S.D.	0.0673138275840592
T-STAT	-0.449254833734126
p-value	0.683719574983495

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.775380080058693 \tabularnewline
beta & -0.0302410624192841 \tabularnewline
S.D. & 0.0673138275840592 \tabularnewline
T-STAT & -0.449254833734126 \tabularnewline
p-value & 0.683719574983495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63291&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.775380080058693[/C][/ROW]
[ROW][C]beta[/C][C]-0.0302410624192841[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0673138275840592[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.449254833734126[/C][/ROW]
[ROW][C]p-value[/C][C]0.683719574983495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63291&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63291&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	0.775380080058693
beta	-0.0302410624192841
S.D.	0.0673138275840592
T-STAT	-0.449254833734126
p-value	0.683719574983495

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.43705494464317
beta	-0.520325856681276
S.D.	1.10951656527168
T-STAT	-0.4689662804213
p-value	0.671069782065608
Lambda	1.52032585668128

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.43705494464317 \tabularnewline
beta & -0.520325856681276 \tabularnewline
S.D. & 1.10951656527168 \tabularnewline
T-STAT & -0.4689662804213 \tabularnewline
p-value & 0.671069782065608 \tabularnewline
Lambda & 1.52032585668128 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63291&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.43705494464317[/C][/ROW]
[ROW][C]beta[/C][C]-0.520325856681276[/C][/ROW]
[ROW][C]S.D.[/C][C]1.10951656527168[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.4689662804213[/C][/ROW]
[ROW][C]p-value[/C][C]0.671069782065608[/C][/ROW]
[ROW][C]Lambda[/C][C]1.52032585668128[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63291&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63291&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	0.43705494464317
beta	-0.520325856681276
S.D.	1.10951656527168
T-STAT	-0.4689662804213
p-value	0.671069782065608
Lambda	1.52032585668128

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