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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

Thu, 29 Jul 2010 13:58:13 +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/Jul/29/t1280411882yooeppqgre8c47q.htm/, Retrieved Mon, 29 Apr 2024 06:35:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78186, Retrieved Mon, 29 Apr 2024 06:35:29 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Patrick Fieremans

Estimated Impact

141

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 2 - Sta...] [2010-07-29 13:58:13] [bffa0fb6afa860209dcefcd4361c2008] [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	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78186&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78186&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78186&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	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	255.833333333333	2.32900030576263	7
2	255.916666666667	6.34548276454609	18
3	242.083333333333	13.0903040685104	34
4	191.333333333333	24.9884821952883	74
5	131.583333333333	14.9511831902321	43
6	96.5833333333333	11.6420736463861	35
7	89.1666666666667	10.7435674905612	33

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 255.833333333333 & 2.32900030576263 & 7 \tabularnewline
2 & 255.916666666667 & 6.34548276454609 & 18 \tabularnewline
3 & 242.083333333333 & 13.0903040685104 & 34 \tabularnewline
4 & 191.333333333333 & 24.9884821952883 & 74 \tabularnewline
5 & 131.583333333333 & 14.9511831902321 & 43 \tabularnewline
6 & 96.5833333333333 & 11.6420736463861 & 35 \tabularnewline
7 & 89.1666666666667 & 10.7435674905612 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78186&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]255.833333333333[/C][C]2.32900030576263[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]255.916666666667[/C][C]6.34548276454609[/C][C]18[/C][/ROW]
[ROW][C]3[/C][C]242.083333333333[/C][C]13.0903040685104[/C][C]34[/C][/ROW]
[ROW][C]4[/C][C]191.333333333333[/C][C]24.9884821952883[/C][C]74[/C][/ROW]
[ROW][C]5[/C][C]131.583333333333[/C][C]14.9511831902321[/C][C]43[/C][/ROW]
[ROW][C]6[/C][C]96.5833333333333[/C][C]11.6420736463861[/C][C]35[/C][/ROW]
[ROW][C]7[/C][C]89.1666666666667[/C][C]10.7435674905612[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78186&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78186&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	255.833333333333	2.32900030576263	7
2	255.916666666667	6.34548276454609	18
3	242.083333333333	13.0903040685104	34
4	191.333333333333	24.9884821952883	74
5	131.583333333333	14.9511831902321	43
6	96.5833333333333	11.6420736463861	35
7	89.1666666666667	10.7435674905612	33

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	17.1792386306570
beta	-0.0286452093095539
S.D.	0.0410670962925486
T-STAT	-0.697522150226906
p-value	0.51657141826316

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 17.1792386306570 \tabularnewline
beta & -0.0286452093095539 \tabularnewline
S.D. & 0.0410670962925486 \tabularnewline
T-STAT & -0.697522150226906 \tabularnewline
p-value & 0.51657141826316 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78186&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]17.1792386306570[/C][/ROW]
[ROW][C]beta[/C][C]-0.0286452093095539[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0410670962925486[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.697522150226906[/C][/ROW]
[ROW][C]p-value[/C][C]0.51657141826316[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78186&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78186&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	17.1792386306570
beta	-0.0286452093095539
S.D.	0.0410670962925486
T-STAT	-0.697522150226906
p-value	0.51657141826316

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.5704574419489
beta	-0.642268229542977
S.D.	0.676343813919251
T-STAT	-0.94961795513614
p-value	0.385913832844791
Lambda	1.64226822954298

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.5704574419489 \tabularnewline
beta & -0.642268229542977 \tabularnewline
S.D. & 0.676343813919251 \tabularnewline
T-STAT & -0.94961795513614 \tabularnewline
p-value & 0.385913832844791 \tabularnewline
Lambda & 1.64226822954298 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78186&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.5704574419489[/C][/ROW]
[ROW][C]beta[/C][C]-0.642268229542977[/C][/ROW]
[ROW][C]S.D.[/C][C]0.676343813919251[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.94961795513614[/C][/ROW]
[ROW][C]p-value[/C][C]0.385913832844791[/C][/ROW]
[ROW][C]Lambda[/C][C]1.64226822954298[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78186&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78186&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	5.5704574419489
beta	-0.642268229542977
S.D.	0.676343813919251
T-STAT	-0.94961795513614
p-value	0.385913832844791
Lambda	1.64226822954298

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