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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Tue, 03 Dec 2013 04:02:51 -0500

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/2013/Dec/03/t1386061411v6o9jyx31f1tawa.htm/, Retrieved Thu, 25 Apr 2024 13:32:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230182, Retrieved Thu, 25 Apr 2024 13:32:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

127

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

-       [Standard Deviation-Mean Plot] [] [2013-12-03 09:02:51] [12e977ea58b1a83461bd6217bf886aa8] [Current]

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Dataseries X:

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Histogram

Boxplots

3.96
3.97
3.96
3.95
3.94
3.94
3.95
3.93
3.94
3.92
3.95
3.94
3.95
3.92
3.92
3.92
3.92
3.9
3.92
3.94
3.96
3.95
3.96
3.97
3.99
4
4.05
4.08
4.09
4.12
4.14
4.15
4.15
4.15
4.15
4.2
4.22
4.22
4.22
4.23
4.3
4.29
4.32
4.31
4.35
4.34
4.35
4.38
4.39
4.38
4.34
4.33
4.33
4.33
4.33
4.32
4.35
4.35
4.35
4.36
4.38
4.41
4.43
4.42
4.43
4.43
4.42
4.46
4.44
4.41
4.41
4.46
4.5
4.58
4.61
4.65
4.55
4.63
4.69
4.72
4.71
4.74
4.77
4.78

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	'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230182&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230182&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3.94583333333333	0.0137895436890245	0.0500000000000003
2	3.93583333333333	0.0219330938551908	0.0700000000000003
3	4.10583333333333	0.0651513389708683	0.21
4	4.29416666666667	0.0582250076440657	0.16
5	4.34666666666667	0.0214617347995463	0.0699999999999994
6	4.425	0.0223606797749979	0.0800000000000001
7	4.66083333333333	0.0891840113405305	0.28

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3.94583333333333 & 0.0137895436890245 & 0.0500000000000003 \tabularnewline
2 & 3.93583333333333 & 0.0219330938551908 & 0.0700000000000003 \tabularnewline
3 & 4.10583333333333 & 0.0651513389708683 & 0.21 \tabularnewline
4 & 4.29416666666667 & 0.0582250076440657 & 0.16 \tabularnewline
5 & 4.34666666666667 & 0.0214617347995463 & 0.0699999999999994 \tabularnewline
6 & 4.425 & 0.0223606797749979 & 0.0800000000000001 \tabularnewline
7 & 4.66083333333333 & 0.0891840113405305 & 0.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230182&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]3.94583333333333[/C][C]0.0137895436890245[/C][C]0.0500000000000003[/C][/ROW]
[ROW][C]2[/C][C]3.93583333333333[/C][C]0.0219330938551908[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]3[/C][C]4.10583333333333[/C][C]0.0651513389708683[/C][C]0.21[/C][/ROW]
[ROW][C]4[/C][C]4.29416666666667[/C][C]0.0582250076440657[/C][C]0.16[/C][/ROW]
[ROW][C]5[/C][C]4.34666666666667[/C][C]0.0214617347995463[/C][C]0.0699999999999994[/C][/ROW]
[ROW][C]6[/C][C]4.425[/C][C]0.0223606797749979[/C][C]0.0800000000000001[/C][/ROW]
[ROW][C]7[/C][C]4.66083333333333[/C][C]0.0891840113405305[/C][C]0.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230182&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	3.94583333333333	0.0137895436890245	0.0500000000000003
2	3.93583333333333	0.0219330938551908	0.0700000000000003
3	4.10583333333333	0.0651513389708683	0.21
4	4.29416666666667	0.0582250076440657	0.16
5	4.34666666666667	0.0214617347995463	0.0699999999999994
6	4.425	0.0223606797749979	0.0800000000000001
7	4.66083333333333	0.0891840113405305	0.28

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.221658137377207
beta	0.0620482611004182
S.D.	0.0401429177064721
T-STAT	1.54568388760676
p-value	0.182844556458915

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.221658137377207 \tabularnewline
beta & 0.0620482611004182 \tabularnewline
S.D. & 0.0401429177064721 \tabularnewline
T-STAT & 1.54568388760676 \tabularnewline
p-value & 0.182844556458915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230182&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.221658137377207[/C][/ROW]
[ROW][C]beta[/C][C]0.0620482611004182[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0401429177064721[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.54568388760676[/C][/ROW]
[ROW][C]p-value[/C][C]0.182844556458915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230182&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230182&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	-0.221658137377207
beta	0.0620482611004182
S.D.	0.0401429177064721
T-STAT	1.54568388760676
p-value	0.182844556458915

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-12.397791851211
beta	6.23718389144213
S.D.	4.27487514760303
T-STAT	1.45903299537049
p-value	0.204368810168918
Lambda	-5.23718389144213

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.397791851211 \tabularnewline
beta & 6.23718389144213 \tabularnewline
S.D. & 4.27487514760303 \tabularnewline
T-STAT & 1.45903299537049 \tabularnewline
p-value & 0.204368810168918 \tabularnewline
Lambda & -5.23718389144213 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230182&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.397791851211[/C][/ROW]
[ROW][C]beta[/C][C]6.23718389144213[/C][/ROW]
[ROW][C]S.D.[/C][C]4.27487514760303[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.45903299537049[/C][/ROW]
[ROW][C]p-value[/C][C]0.204368810168918[/C][/ROW]
[ROW][C]Lambda[/C][C]-5.23718389144213[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230182&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230182&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	-12.397791851211
beta	6.23718389144213
S.D.	4.27487514760303
T-STAT	1.45903299537049
p-value	0.204368810168918
Lambda	-5.23718389144213

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 <- '12'
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