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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

Sun, 29 Nov 2009 11:49:15 -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/Nov/29/t1259520638r89c3066nwyof3l.htm/, Retrieved Fri, 19 Apr 2024 07:36:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61681, Retrieved Fri, 19 Apr 2024 07:36:03 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

WS8 SMP

Estimated Impact

141

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-    D          [Standard Deviation-Mean Plot] [WS8 SMP] [2009-11-29 18:49:15] [b4ff140915b3f24d4faed3d78f95eba4] [Current]
-    D            [Standard Deviation-Mean Plot] [paper SMP] [2009-12-29 18:24:14] [c620fe7250af73a91c51407172a85dab] 

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Dataseries X:

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Histogram

Boxplots

4.2
4
4.9
4.6
4.3
4.3
4.6
5.1
4.8
4.5
4.9
5.1
5.1
5.2
4.5
4.6
4.9
4.6
4.4
3.7
4
4.2
3.9
3.6
3.6
3.2
3.2
3.5
3.6
3.7
3.8
3.8
3.8
3.3
3.3
3.4
3.1
3.5
4.2
4.9
5.1
5.5
5.6
6.4
6.2
7.2
7.8
7.9
7.4
7.5
6.7
5.1
4.6
4.3
3.9
2.6
2.6
1.6
0.9
0.3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61681&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]0 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=61681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61681&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	0 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4.60833333333333	0.360450055381106	1.1
2	4.39166666666667	0.526494985443328	1.6
3	3.51666666666667	0.232900030576263	0.6
4	5.61666666666667	1.56834210862840	4.8
5	3.95833333333333	2.44445879242805	7.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4.60833333333333 & 0.360450055381106 & 1.1 \tabularnewline
2 & 4.39166666666667 & 0.526494985443328 & 1.6 \tabularnewline
3 & 3.51666666666667 & 0.232900030576263 & 0.6 \tabularnewline
4 & 5.61666666666667 & 1.56834210862840 & 4.8 \tabularnewline
5 & 3.95833333333333 & 2.44445879242805 & 7.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61681&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]4.60833333333333[/C][C]0.360450055381106[/C][C]1.1[/C][/ROW]
[ROW][C]2[/C][C]4.39166666666667[/C][C]0.526494985443328[/C][C]1.6[/C][/ROW]
[ROW][C]3[/C][C]3.51666666666667[/C][C]0.232900030576263[/C][C]0.6[/C][/ROW]
[ROW][C]4[/C][C]5.61666666666667[/C][C]1.56834210862840[/C][C]4.8[/C][/ROW]
[ROW][C]5[/C][C]3.95833333333333[/C][C]2.44445879242805[/C][C]7.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61681&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	4.60833333333333	0.360450055381106	1.1
2	4.39166666666667	0.526494985443328	1.6
3	3.51666666666667	0.232900030576263	0.6
4	5.61666666666667	1.56834210862840	4.8
5	3.95833333333333	2.44445879242805	7.2

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.0338938618054295
beta	0.240005218324449
S.D.	0.68189682729677
T-STAT	0.351967055303508
p-value	0.748135162668717

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0338938618054295 \tabularnewline
beta & 0.240005218324449 \tabularnewline
S.D. & 0.68189682729677 \tabularnewline
T-STAT & 0.351967055303508 \tabularnewline
p-value & 0.748135162668717 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61681&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0338938618054295[/C][/ROW]
[ROW][C]beta[/C][C]0.240005218324449[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68189682729677[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.351967055303508[/C][/ROW]
[ROW][C]p-value[/C][C]0.748135162668717[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61681&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61681&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	-0.0338938618054295
beta	0.240005218324449
S.D.	0.68189682729677
T-STAT	0.351967055303508
p-value	0.748135162668717

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.72820814491246
beta	2.28948329072911
S.D.	2.99438982727865
T-STAT	0.764590925961644
p-value	0.500155167833602
Lambda	-1.28948329072911

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.72820814491246 \tabularnewline
beta & 2.28948329072911 \tabularnewline
S.D. & 2.99438982727865 \tabularnewline
T-STAT & 0.764590925961644 \tabularnewline
p-value & 0.500155167833602 \tabularnewline
Lambda & -1.28948329072911 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61681&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.72820814491246[/C][/ROW]
[ROW][C]beta[/C][C]2.28948329072911[/C][/ROW]
[ROW][C]S.D.[/C][C]2.99438982727865[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.764590925961644[/C][/ROW]
[ROW][C]p-value[/C][C]0.500155167833602[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.28948329072911[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61681&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61681&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	-3.72820814491246
beta	2.28948329072911
S.D.	2.99438982727865
T-STAT	0.764590925961644
p-value	0.500155167833602
Lambda	-1.28948329072911

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