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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

Mon, 26 Nov 2007 12:38:54 -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/2007/Nov/26/t1196105560p81dxwlkabv11uc.htm/, Retrieved Fri, 03 May 2024 02:01:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6649, Retrieved Fri, 03 May 2024 02:01:45 +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] [workshop 8 - Q1 -...] [2007-11-26 19:38:54] [3463f71ebce131edf0c83e066f45702c] [Current]

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Dataseries X:

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Histogram

Boxplots

8.8
8.8
8.7
8.7
8.7
8.8
8.8
8.7
8.7
8.6
8.5
8.4
8.3
8.3
8.4
8.4
8.3
8.2
8.1
8
7.9
7.9
7.8
7.8
7.7
7.7
7.6
7.5
7.4
7.2
7.1
7
7
6.9
6.9
6.9

Summary of compuational 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 compuational 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=6649&T=0

[TABLE]
[ROW][C]Summary of compuational 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=6649&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6649&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 compuational 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	8.68333333333333	0.126730446462585	1.1
2	8.11666666666667	0.228963408483195	0.7
3	7.24166666666667	0.320392751402892	0.100000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.68333333333333 & 0.126730446462585 & 1.1 \tabularnewline
2 & 8.11666666666667 & 0.228963408483195 & 0.7 \tabularnewline
3 & 7.24166666666667 & 0.320392751402892 & 0.100000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6649&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]8.68333333333333[/C][C]0.126730446462585[/C][C]1.1[/C][/ROW]
[ROW][C]2[/C][C]8.11666666666667[/C][C]0.228963408483195[/C][C]0.7[/C][/ROW]
[ROW][C]3[/C][C]7.24166666666667[/C][C]0.320392751402892[/C][C]0.100000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6649&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6649&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	8.68333333333333	0.126730446462585	1.1
2	8.11666666666667	0.228963408483195	0.7
3	7.24166666666667	0.320392751402892	0.100000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.28150128164570
beta	-0.131788585313904
S.D.	0.0205997639895892
T-STAT	-6.39757743731957
p-value	0.09871075942167

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.28150128164570 \tabularnewline
beta & -0.131788585313904 \tabularnewline
S.D. & 0.0205997639895892 \tabularnewline
T-STAT & -6.39757743731957 \tabularnewline
p-value & 0.09871075942167 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6649&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.28150128164570[/C][/ROW]
[ROW][C]beta[/C][C]-0.131788585313904[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0205997639895892[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.39757743731957[/C][/ROW]
[ROW][C]p-value[/C][C]0.09871075942167[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6649&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6649&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	1.28150128164570
beta	-0.131788585313904
S.D.	0.0205997639895892
T-STAT	-6.39757743731957
p-value	0.09871075942167

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.58550433230027
beta	-4.88111395955129
S.D.	1.53560502563066
T-STAT	-3.17862593445646
p-value	0.194040507030791
Lambda	5.8811139595513

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.58550433230027 \tabularnewline
beta & -4.88111395955129 \tabularnewline
S.D. & 1.53560502563066 \tabularnewline
T-STAT & -3.17862593445646 \tabularnewline
p-value & 0.194040507030791 \tabularnewline
Lambda & 5.8811139595513 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6649&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.58550433230027[/C][/ROW]
[ROW][C]beta[/C][C]-4.88111395955129[/C][/ROW]
[ROW][C]S.D.[/C][C]1.53560502563066[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.17862593445646[/C][/ROW]
[ROW][C]p-value[/C][C]0.194040507030791[/C][/ROW]
[ROW][C]Lambda[/C][C]5.8811139595513[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6649&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6649&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	8.58550433230027
beta	-4.88111395955129
S.D.	1.53560502563066
T-STAT	-3.17862593445646
p-value	0.194040507030791
Lambda	5.8811139595513

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