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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

Fri, 27 Apr 2012 12:51:32 -0400

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/2012/Apr/27/t1335545513ukeu7j8w0zk1x2r.htm/, Retrieved Mon, 29 Apr 2024 06:34:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164978, Retrieved Mon, 29 Apr 2024 06:34:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

174

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

-       [Standard Deviation-Mean Plot] [] [2012-04-27 16:51:32] [426bb746e0076029d53908613853082a] [Current]

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Dataseries X:

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Histogram

Boxplots

2.07
2.08
2.08
2.08
2.09
2.09
2.09
2.1
2.1
2.1
2.11
2.11
2.11
2.13
2.18
2.2
2.21
2.21
2.22
2.22
2.23
2.23
2.23
2.23
2.24
2.25
2.26
2.27
2.28
2.29
2.3
2.3
2.3
2.32
2.32
2.32
2.33
2.34
2.34
2.34
2.35
2.35
2.36
2.37
2.37
2.37
2.38
2.38
2.38
2.39
2.4
2.41
2.42
2.43
2.43
2.43
2.43
2.44
2.44
2.45

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	'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164978&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164978&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164978&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	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2.09166666666667	0.0126730446462585	0.04
2	2.2	0.0404519917477946	0.12
3	2.2875	0.0276750626179795	0.0799999999999996
4	2.35666666666667	0.0172328087371066	0.0499999999999998
5	2.42083333333333	0.0215146180044822	0.0700000000000003

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.09166666666667 & 0.0126730446462585 & 0.04 \tabularnewline
2 & 2.2 & 0.0404519917477946 & 0.12 \tabularnewline
3 & 2.2875 & 0.0276750626179795 & 0.0799999999999996 \tabularnewline
4 & 2.35666666666667 & 0.0172328087371066 & 0.0499999999999998 \tabularnewline
5 & 2.42083333333333 & 0.0215146180044822 & 0.0700000000000003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164978&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]2.09166666666667[/C][C]0.0126730446462585[/C][C]0.04[/C][/ROW]
[ROW][C]2[/C][C]2.2[/C][C]0.0404519917477946[/C][C]0.12[/C][/ROW]
[ROW][C]3[/C][C]2.2875[/C][C]0.0276750626179795[/C][C]0.0799999999999996[/C][/ROW]
[ROW][C]4[/C][C]2.35666666666667[/C][C]0.0172328087371066[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]5[/C][C]2.42083333333333[/C][C]0.0215146180044822[/C][C]0.0700000000000003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164978&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164978&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	2.09166666666667	0.0126730446462585	0.04
2	2.2	0.0404519917477946	0.12
3	2.2875	0.0276750626179795	0.0799999999999996
4	2.35666666666667	0.0172328087371066	0.0499999999999998
5	2.42083333333333	0.0215146180044822	0.0700000000000003

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0248589795679372
beta	-0.000418025132321503
S.D.	0.0479730856407841
T-STAT	-0.00871374285680972
p-value	0.993594590446684

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0248589795679372 \tabularnewline
beta & -0.000418025132321503 \tabularnewline
S.D. & 0.0479730856407841 \tabularnewline
T-STAT & -0.00871374285680972 \tabularnewline
p-value & 0.993594590446684 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164978&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0248589795679372[/C][/ROW]
[ROW][C]beta[/C][C]-0.000418025132321503[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0479730856407841[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.00871374285680972[/C][/ROW]
[ROW][C]p-value[/C][C]0.993594590446684[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164978&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164978&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	0.0248589795679372
beta	-0.000418025132321503
S.D.	0.0479730856407841
T-STAT	-0.00871374285680972
p-value	0.993594590446684

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.87649156139707
beta	1.298912013864
S.D.	4.38445335511235
T-STAT	0.296254038681798
p-value	0.786360776885801
Lambda	-0.298912013863995

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.87649156139707 \tabularnewline
beta & 1.298912013864 \tabularnewline
S.D. & 4.38445335511235 \tabularnewline
T-STAT & 0.296254038681798 \tabularnewline
p-value & 0.786360776885801 \tabularnewline
Lambda & -0.298912013863995 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164978&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.87649156139707[/C][/ROW]
[ROW][C]beta[/C][C]1.298912013864[/C][/ROW]
[ROW][C]S.D.[/C][C]4.38445335511235[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.296254038681798[/C][/ROW]
[ROW][C]p-value[/C][C]0.786360776885801[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.298912013863995[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164978&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164978&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	-4.87649156139707
beta	1.298912013864
S.D.	4.38445335511235
T-STAT	0.296254038681798
p-value	0.786360776885801
Lambda	-0.298912013863995

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