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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

Wed, 02 May 2012 15:20:05 -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/May/02/t1335986481ajj8d6fa0lbfrre.htm/, Retrieved Wed, 08 May 2024 15:53:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165987, Retrieved Wed, 08 May 2024 15:53:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Opgave 8 oef 3] [2012-05-02 19:20:05] [921480865c2f7a3cce0a5eeacc6bbad6] [Current]

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Boxplots

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=165987&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=165987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165987&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	34.9975	0.129131715701449	0.469999999999999
2	35.6158333333333	0.278876262340432	0.89
3	36.4158333333333	0.254324714894287	0.68
4	36.8991666666667	0.133788050379108	0.410000000000004
5	37.45	0.246834504733988	0.789999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 34.9975 & 0.129131715701449 & 0.469999999999999 \tabularnewline
2 & 35.6158333333333 & 0.278876262340432 & 0.89 \tabularnewline
3 & 36.4158333333333 & 0.254324714894287 & 0.68 \tabularnewline
4 & 36.8991666666667 & 0.133788050379108 & 0.410000000000004 \tabularnewline
5 & 37.45 & 0.246834504733988 & 0.789999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165987&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]34.9975[/C][C]0.129131715701449[/C][C]0.469999999999999[/C][/ROW]
[ROW][C]2[/C][C]35.6158333333333[/C][C]0.278876262340432[/C][C]0.89[/C][/ROW]
[ROW][C]3[/C][C]36.4158333333333[/C][C]0.254324714894287[/C][C]0.68[/C][/ROW]
[ROW][C]4[/C][C]36.8991666666667[/C][C]0.133788050379108[/C][C]0.410000000000004[/C][/ROW]
[ROW][C]5[/C][C]37.45[/C][C]0.246834504733988[/C][C]0.789999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165987&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	34.9975	0.129131715701449	0.469999999999999
2	35.6158333333333	0.278876262340432	0.89
3	36.4158333333333	0.254324714894287	0.68
4	36.8991666666667	0.133788050379108	0.410000000000004
5	37.45	0.246834504733988	0.789999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.354532906072472
beta	0.0155234626245966
S.D.	0.0410268722752697
T-STAT	0.378373045852532
p-value	0.730341519248424

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.354532906072472 \tabularnewline
beta & 0.0155234626245966 \tabularnewline
S.D. & 0.0410268722752697 \tabularnewline
T-STAT & 0.378373045852532 \tabularnewline
p-value & 0.730341519248424 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165987&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.354532906072472[/C][/ROW]
[ROW][C]beta[/C][C]0.0155234626245966[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0410268722752697[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.378373045852532[/C][/ROW]
[ROW][C]p-value[/C][C]0.730341519248424[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165987&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165987&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	-0.354532906072472
beta	0.0155234626245966
S.D.	0.0410268722752697
T-STAT	0.378373045852532
p-value	0.730341519248424

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-14.248629784062
beta	3.51668842876726
S.D.	7.73644127746099
T-STAT	0.454561509955828
p-value	0.680300022490952
Lambda	-2.51668842876726

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -14.248629784062 \tabularnewline
beta & 3.51668842876726 \tabularnewline
S.D. & 7.73644127746099 \tabularnewline
T-STAT & 0.454561509955828 \tabularnewline
p-value & 0.680300022490952 \tabularnewline
Lambda & -2.51668842876726 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165987&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.248629784062[/C][/ROW]
[ROW][C]beta[/C][C]3.51668842876726[/C][/ROW]
[ROW][C]S.D.[/C][C]7.73644127746099[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.454561509955828[/C][/ROW]
[ROW][C]p-value[/C][C]0.680300022490952[/C][/ROW]
[ROW][C]Lambda[/C][C]-2.51668842876726[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165987&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165987&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	-14.248629784062
beta	3.51668842876726
S.D.	7.73644127746099
T-STAT	0.454561509955828
p-value	0.680300022490952
Lambda	-2.51668842876726

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