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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, 16 Dec 2008 09:28:12 -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/2008/Dec/16/t1229444938tewoeowevk6k4kj.htm/, Retrieved Wed, 15 May 2024 02:46:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34012, Retrieved Wed, 15 May 2024 02:46:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

190

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

-     [Standard Deviation-Mean Plot] [WS7 Q1 G6 reeks 1] [2007-11-22 09:45:51] [22f18fc6a98517db16300404be421f9a]
-    D    [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-16 16:28:12] [e8f764b122b426f433a1e1038b457077] [Current]
-    D      [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-16 16:30:21] [4ddbf81f78ea7c738951638c7e93f6ee] 
-    D        [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-16 16:32:56] [4ddbf81f78ea7c738951638c7e93f6ee] 

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Dataseries X:

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Histogram

Boxplots

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

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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34012&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34012&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34012&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	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7.51666666666667	0.582835285219563	1.6
2	7.65	0.257611405732814	1.6
3	7.75833333333333	0.394181161242883	1.9
4	6.86666666666667	0.234843597212092	1
5	6.39166666666667	0.299873710792131	0.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.51666666666667 & 0.582835285219563 & 1.6 \tabularnewline
2 & 7.65 & 0.257611405732814 & 1.6 \tabularnewline
3 & 7.75833333333333 & 0.394181161242883 & 1.9 \tabularnewline
4 & 6.86666666666667 & 0.234843597212092 & 1 \tabularnewline
5 & 6.39166666666667 & 0.299873710792131 & 0.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34012&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]7.51666666666667[/C][C]0.582835285219563[/C][C]1.6[/C][/ROW]
[ROW][C]2[/C][C]7.65[/C][C]0.257611405732814[/C][C]1.6[/C][/ROW]
[ROW][C]3[/C][C]7.75833333333333[/C][C]0.394181161242883[/C][C]1.9[/C][/ROW]
[ROW][C]4[/C][C]6.86666666666667[/C][C]0.234843597212092[/C][C]1[/C][/ROW]
[ROW][C]5[/C][C]6.39166666666667[/C][C]0.299873710792131[/C][C]0.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34012&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34012&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	7.51666666666667	0.582835285219563	1.6
2	7.65	0.257611405732814	1.6
3	7.75833333333333	0.394181161242883	1.9
4	6.86666666666667	0.234843597212092	1
5	6.39166666666667	0.299873710792131	0.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.358135385624217
beta	0.0983884501608633
S.D.	0.127679670981054
T-STAT	0.770588218193815
p-value	0.497075148836076

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.358135385624217 \tabularnewline
beta & 0.0983884501608633 \tabularnewline
S.D. & 0.127679670981054 \tabularnewline
T-STAT & 0.770588218193815 \tabularnewline
p-value & 0.497075148836076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34012&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.358135385624217[/C][/ROW]
[ROW][C]beta[/C][C]0.0983884501608633[/C][/ROW]
[ROW][C]S.D.[/C][C]0.127679670981054[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.770588218193815[/C][/ROW]
[ROW][C]p-value[/C][C]0.497075148836076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34012&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34012&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	-0.358135385624217
beta	0.0983884501608633
S.D.	0.127679670981054
T-STAT	0.770588218193815
p-value	0.497075148836076

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.6973055734583
beta	1.82207129420342
S.D.	2.33321967811862
T-STAT	0.780925735922405
p-value	0.491803222245625
Lambda	-0.822071294203418

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.6973055734583 \tabularnewline
beta & 1.82207129420342 \tabularnewline
S.D. & 2.33321967811862 \tabularnewline
T-STAT & 0.780925735922405 \tabularnewline
p-value & 0.491803222245625 \tabularnewline
Lambda & -0.822071294203418 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34012&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.6973055734583[/C][/ROW]
[ROW][C]beta[/C][C]1.82207129420342[/C][/ROW]
[ROW][C]S.D.[/C][C]2.33321967811862[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.780925735922405[/C][/ROW]
[ROW][C]p-value[/C][C]0.491803222245625[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.822071294203418[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34012&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34012&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	-4.6973055734583
beta	1.82207129420342
S.D.	2.33321967811862
T-STAT	0.780925735922405
p-value	0.491803222245625
Lambda	-0.822071294203418

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