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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 26 Dec 2010 15:06:44 +0000

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/2010/Dec/26/t1293375891uszw9oylxap4y8j.htm/, Retrieved Mon, 06 May 2024 23:00:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115642, Retrieved Mon, 06 May 2024 23:00:19 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

141

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

-     [Univariate Data Series] [tijdreeks bevolki...] [2010-12-26 10:20:42] [efd13e24149aec704f3383e33c1e842a]
-   PD  [Univariate Data Series] [tijdreeks werkloo...] [2010-12-26 13:12:25] [efd13e24149aec704f3383e33c1e842a]
- RMPD      [Standard Deviation-Mean Plot] [tijdreeks werkloo...] [2010-12-26 15:06:44] [531024149246456e4f6d79ace2e85c12] [Current]

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Dataseries X:

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Histogram

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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115642&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115642&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115642&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	396.25	29.7080491082498	98
2	475.916666666667	19.8652658647899	57
3	481.833333333333	27.9149140110161	95
4	409.75	41.3502226002583	127
5	343.5	39.5370942050857	121
6	300	23.013829834175	72
7	377.25	27.7754797029191	93

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 396.25 & 29.7080491082498 & 98 \tabularnewline
2 & 475.916666666667 & 19.8652658647899 & 57 \tabularnewline
3 & 481.833333333333 & 27.9149140110161 & 95 \tabularnewline
4 & 409.75 & 41.3502226002583 & 127 \tabularnewline
5 & 343.5 & 39.5370942050857 & 121 \tabularnewline
6 & 300 & 23.013829834175 & 72 \tabularnewline
7 & 377.25 & 27.7754797029191 & 93 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115642&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]396.25[/C][C]29.7080491082498[/C][C]98[/C][/ROW]
[ROW][C]2[/C][C]475.916666666667[/C][C]19.8652658647899[/C][C]57[/C][/ROW]
[ROW][C]3[/C][C]481.833333333333[/C][C]27.9149140110161[/C][C]95[/C][/ROW]
[ROW][C]4[/C][C]409.75[/C][C]41.3502226002583[/C][C]127[/C][/ROW]
[ROW][C]5[/C][C]343.5[/C][C]39.5370942050857[/C][C]121[/C][/ROW]
[ROW][C]6[/C][C]300[/C][C]23.013829834175[/C][C]72[/C][/ROW]
[ROW][C]7[/C][C]377.25[/C][C]27.7754797029191[/C][C]93[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115642&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115642&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	396.25	29.7080491082498	98
2	475.916666666667	19.8652658647899	57
3	481.833333333333	27.9149140110161	95
4	409.75	41.3502226002583	127
5	343.5	39.5370942050857	121
6	300	23.013829834175	72
7	377.25	27.7754797029191	93

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	39.273919353976
beta	-0.0236137834984155
S.D.	0.0528087358042101
T-STAT	-0.44715676561477
p-value	0.673466792745013

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 39.273919353976 \tabularnewline
beta & -0.0236137834984155 \tabularnewline
S.D. & 0.0528087358042101 \tabularnewline
T-STAT & -0.44715676561477 \tabularnewline
p-value & 0.673466792745013 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115642&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]39.273919353976[/C][/ROW]
[ROW][C]beta[/C][C]-0.0236137834984155[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0528087358042101[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.44715676561477[/C][/ROW]
[ROW][C]p-value[/C][C]0.673466792745013[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115642&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115642&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	39.273919353976
beta	-0.0236137834984155
S.D.	0.0528087358042101
T-STAT	-0.44715676561477
p-value	0.673466792745013

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.84471030426655
beta	-0.247364099165036
S.D.	0.690621924096323
T-STAT	-0.358175856477061
p-value	0.734836868408621
Lambda	1.24736409916504

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.84471030426655 \tabularnewline
beta & -0.247364099165036 \tabularnewline
S.D. & 0.690621924096323 \tabularnewline
T-STAT & -0.358175856477061 \tabularnewline
p-value & 0.734836868408621 \tabularnewline
Lambda & 1.24736409916504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115642&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.84471030426655[/C][/ROW]
[ROW][C]beta[/C][C]-0.247364099165036[/C][/ROW]
[ROW][C]S.D.[/C][C]0.690621924096323[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.358175856477061[/C][/ROW]
[ROW][C]p-value[/C][C]0.734836868408621[/C][/ROW]
[ROW][C]Lambda[/C][C]1.24736409916504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115642&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115642&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	4.84471030426655
beta	-0.247364099165036
S.D.	0.690621924096323
T-STAT	-0.358175856477061
p-value	0.734836868408621
Lambda	1.24736409916504

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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