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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, 05 Dec 2010 14:34:52 +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/05/t1291559642jii6grskiw5he51.htm/, Retrieved Wed, 01 May 2024 23:00:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105415, Retrieved Wed, 01 May 2024 23:00:48 +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] [] [2010-12-05 14:34:52] [9d49b4c553d27c097eebc753f5e7db7d] [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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105415&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105415&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105415&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	'George Udny Yule' @ 72.249.76.132
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	99.0583333333333	0.726709061871434	2.30000000000000
2	100	0.836660026534076	2.60000000000001
3	100.466666666667	1.47607177291210	3.90000000000001
4	105.333333333333	1.5790292376436	4.3
5	108.766666666667	0.695875293599668	2.59999999999999
6	107.616666666667	0.51138552141721	1.70000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.0583333333333 & 0.726709061871434 & 2.30000000000000 \tabularnewline
2 & 100 & 0.836660026534076 & 2.60000000000001 \tabularnewline
3 & 100.466666666667 & 1.47607177291210 & 3.90000000000001 \tabularnewline
4 & 105.333333333333 & 1.5790292376436 & 4.3 \tabularnewline
5 & 108.766666666667 & 0.695875293599668 & 2.59999999999999 \tabularnewline
6 & 107.616666666667 & 0.51138552141721 & 1.70000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105415&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]99.0583333333333[/C][C]0.726709061871434[/C][C]2.30000000000000[/C][/ROW]
[ROW][C]2[/C][C]100[/C][C]0.836660026534076[/C][C]2.60000000000001[/C][/ROW]
[ROW][C]3[/C][C]100.466666666667[/C][C]1.47607177291210[/C][C]3.90000000000001[/C][/ROW]
[ROW][C]4[/C][C]105.333333333333[/C][C]1.5790292376436[/C][C]4.3[/C][/ROW]
[ROW][C]5[/C][C]108.766666666667[/C][C]0.695875293599668[/C][C]2.59999999999999[/C][/ROW]
[ROW][C]6[/C][C]107.616666666667[/C][C]0.51138552141721[/C][C]1.70000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105415&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105415&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	99.0583333333333	0.726709061871434	2.30000000000000
2	100	0.836660026534076	2.60000000000001
3	100.466666666667	1.47607177291210	3.90000000000001
4	105.333333333333	1.5790292376436	4.3
5	108.766666666667	0.695875293599668	2.59999999999999
6	107.616666666667	0.51138552141721	1.70000000000000

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	3.52783735608775
beta	-0.0246945658118259
S.D.	0.0511880204091941
T-STAT	-0.482428615414681
p-value	0.654713257324236

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.52783735608775 \tabularnewline
beta & -0.0246945658118259 \tabularnewline
S.D. & 0.0511880204091941 \tabularnewline
T-STAT & -0.482428615414681 \tabularnewline
p-value & 0.654713257324236 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105415&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.52783735608775[/C][/ROW]
[ROW][C]beta[/C][C]-0.0246945658118259[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0511880204091941[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.482428615414681[/C][/ROW]
[ROW][C]p-value[/C][C]0.654713257324236[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105415&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105415&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	3.52783735608775
beta	-0.0246945658118259
S.D.	0.0511880204091941
T-STAT	-0.482428615414681
p-value	0.654713257324236

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	15.4448650279983
beta	-3.35375298579781
S.D.	5.22273678516368
T-STAT	-0.642144745897376
p-value	0.555731797553793
Lambda	4.35375298579781

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.4448650279983 \tabularnewline
beta & -3.35375298579781 \tabularnewline
S.D. & 5.22273678516368 \tabularnewline
T-STAT & -0.642144745897376 \tabularnewline
p-value & 0.555731797553793 \tabularnewline
Lambda & 4.35375298579781 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105415&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.4448650279983[/C][/ROW]
[ROW][C]beta[/C][C]-3.35375298579781[/C][/ROW]
[ROW][C]S.D.[/C][C]5.22273678516368[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.642144745897376[/C][/ROW]
[ROW][C]p-value[/C][C]0.555731797553793[/C][/ROW]
[ROW][C]Lambda[/C][C]4.35375298579781[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105415&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105415&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	15.4448650279983
beta	-3.35375298579781
S.D.	5.22273678516368
T-STAT	-0.642144745897376
p-value	0.555731797553793
Lambda	4.35375298579781

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