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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

Sun, 23 Nov 2014 10:57:22 +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/2014/Nov/23/t1416740275whxx6sev06ynebl.htm/, Retrieved Mon, 27 May 2024 16:17:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257941, Retrieved Mon, 27 May 2024 16:17:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-       [Standard Deviation-Mean Plot] [] [2014-11-23 10:57:22] [f3f8000f3957416038d6f50ac60d9d25] [Current]

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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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257941&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257941&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257941&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	401.5	9.18991542151207	28
2	437.75	13.6056472232539	40
3	450.666666666667	11.7266854445385	35
4	438.25	9.08670357270346	29
5	446.666666666667	10.0121138748231	34
6	465.833333333333	13.2447817054205	37

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 401.5 & 9.18991542151207 & 28 \tabularnewline
2 & 437.75 & 13.6056472232539 & 40 \tabularnewline
3 & 450.666666666667 & 11.7266854445385 & 35 \tabularnewline
4 & 438.25 & 9.08670357270346 & 29 \tabularnewline
5 & 446.666666666667 & 10.0121138748231 & 34 \tabularnewline
6 & 465.833333333333 & 13.2447817054205 & 37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257941&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]401.5[/C][C]9.18991542151207[/C][C]28[/C][/ROW]
[ROW][C]2[/C][C]437.75[/C][C]13.6056472232539[/C][C]40[/C][/ROW]
[ROW][C]3[/C][C]450.666666666667[/C][C]11.7266854445385[/C][C]35[/C][/ROW]
[ROW][C]4[/C][C]438.25[/C][C]9.08670357270346[/C][C]29[/C][/ROW]
[ROW][C]5[/C][C]446.666666666667[/C][C]10.0121138748231[/C][C]34[/C][/ROW]
[ROW][C]6[/C][C]465.833333333333[/C][C]13.2447817054205[/C][C]37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257941&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257941&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	401.5	9.18991542151207	28
2	437.75	13.6056472232539	40
3	450.666666666667	11.7266854445385	35
4	438.25	9.08670357270346	29
5	446.666666666667	10.0121138748231	34
6	465.833333333333	13.2447817054205	37

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-12.8450770631045
beta	0.0545075648652659
S.D.	0.0378396989330531
T-STAT	1.44048621955745
p-value	0.22315891488973

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -12.8450770631045 \tabularnewline
beta & 0.0545075648652659 \tabularnewline
S.D. & 0.0378396989330531 \tabularnewline
T-STAT & 1.44048621955745 \tabularnewline
p-value & 0.22315891488973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257941&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.8450770631045[/C][/ROW]
[ROW][C]beta[/C][C]0.0545075648652659[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0378396989330531[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.44048621955745[/C][/ROW]
[ROW][C]p-value[/C][C]0.22315891488973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257941&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257941&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	-12.8450770631045
beta	0.0545075648652659
S.D.	0.0378396989330531
T-STAT	1.44048621955745
p-value	0.22315891488973

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-10.6956894021441
beta	2.15135221956111
S.D.	1.44148515388368
T-STAT	1.49245534285586
p-value	0.209862589808868
Lambda	-1.15135221956111

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.6956894021441 \tabularnewline
beta & 2.15135221956111 \tabularnewline
S.D. & 1.44148515388368 \tabularnewline
T-STAT & 1.49245534285586 \tabularnewline
p-value & 0.209862589808868 \tabularnewline
Lambda & -1.15135221956111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257941&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.6956894021441[/C][/ROW]
[ROW][C]beta[/C][C]2.15135221956111[/C][/ROW]
[ROW][C]S.D.[/C][C]1.44148515388368[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.49245534285586[/C][/ROW]
[ROW][C]p-value[/C][C]0.209862589808868[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.15135221956111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257941&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257941&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	-10.6956894021441
beta	2.15135221956111
S.D.	1.44148515388368
T-STAT	1.49245534285586
p-value	0.209862589808868
Lambda	-1.15135221956111

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