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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, 05 Dec 2011 06:55:16 -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/2011/Dec/05/t13230862864uopf9jcn8qejb5.htm/, Retrieved Mon, 29 Apr 2024 00:54:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150859, Retrieved Mon, 29 Apr 2024 00:54:55 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

116

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

-     [Standard Deviation-Mean Plot] [KDGP2W83 laatste ...] [2011-11-29 12:58:13] [226376a35b8869827dc57271384c00a4]
- R P     [Standard Deviation-Mean Plot] [aanpassing 4 ipv 12 ] [2011-12-05 11:55:16] [a7f80d04c0163565b374cb5c63d3ff23] [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	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150859&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]1 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=150859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150859&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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2072.91666666667	89.3720093799287	343
2	1811.91666666667	229.030946036609	782
3	1341.83333333333	144.949416464273	458
4	900	172.627291637741	543
5	554	42.7295937474039	116
6	584.916666666667	46.7225044731383	161

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2072.91666666667 & 89.3720093799287 & 343 \tabularnewline
2 & 1811.91666666667 & 229.030946036609 & 782 \tabularnewline
3 & 1341.83333333333 & 144.949416464273 & 458 \tabularnewline
4 & 900 & 172.627291637741 & 543 \tabularnewline
5 & 554 & 42.7295937474039 & 116 \tabularnewline
6 & 584.916666666667 & 46.7225044731383 & 161 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150859&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]2072.91666666667[/C][C]89.3720093799287[/C][C]343[/C][/ROW]
[ROW][C]2[/C][C]1811.91666666667[/C][C]229.030946036609[/C][C]782[/C][/ROW]
[ROW][C]3[/C][C]1341.83333333333[/C][C]144.949416464273[/C][C]458[/C][/ROW]
[ROW][C]4[/C][C]900[/C][C]172.627291637741[/C][C]543[/C][/ROW]
[ROW][C]5[/C][C]554[/C][C]42.7295937474039[/C][C]116[/C][/ROW]
[ROW][C]6[/C][C]584.916666666667[/C][C]46.7225044731383[/C][C]161[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150859&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	2072.91666666667	89.3720093799287	343
2	1811.91666666667	229.030946036609	782
3	1341.83333333333	144.949416464273	458
4	900	172.627291637741	543
5	554	42.7295937474039	116
6	584.916666666667	46.7225044731383	161

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	48.1464947522646
beta	0.0600850300928589
S.D.	0.049715687939511
T-STAT	1.20857283853669
p-value	0.293384617239964

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 48.1464947522646 \tabularnewline
beta & 0.0600850300928589 \tabularnewline
S.D. & 0.049715687939511 \tabularnewline
T-STAT & 1.20857283853669 \tabularnewline
p-value & 0.293384617239964 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150859&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48.1464947522646[/C][/ROW]
[ROW][C]beta[/C][C]0.0600850300928589[/C][/ROW]
[ROW][C]S.D.[/C][C]0.049715687939511[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.20857283853669[/C][/ROW]
[ROW][C]p-value[/C][C]0.293384617239964[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150859&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150859&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	48.1464947522646
beta	0.0600850300928589
S.D.	0.049715687939511
T-STAT	1.20857283853669
p-value	0.293384617239964

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.3884717203846
beta	0.860212597316706
S.D.	0.44414991597754
T-STAT	1.93676181481076
p-value	0.124841057569464
Lambda	0.139787402683294

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.3884717203846 \tabularnewline
beta & 0.860212597316706 \tabularnewline
S.D. & 0.44414991597754 \tabularnewline
T-STAT & 1.93676181481076 \tabularnewline
p-value & 0.124841057569464 \tabularnewline
Lambda & 0.139787402683294 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150859&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.3884717203846[/C][/ROW]
[ROW][C]beta[/C][C]0.860212597316706[/C][/ROW]
[ROW][C]S.D.[/C][C]0.44414991597754[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.93676181481076[/C][/ROW]
[ROW][C]p-value[/C][C]0.124841057569464[/C][/ROW]
[ROW][C]Lambda[/C][C]0.139787402683294[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150859&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150859&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	-1.3884717203846
beta	0.860212597316706
S.D.	0.44414991597754
T-STAT	1.93676181481076
p-value	0.124841057569464
Lambda	0.139787402683294

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