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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, 18 Aug 2013 08:07:10 -0400

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/2013/Aug/18/t1376827650zrj80d27tb0lmrn.htm/, Retrieved Sun, 05 May 2024 21:14:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211178, Retrieved Sun, 05 May 2024 21:14:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

De Laere Dieter

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...] [2013-08-18 12:07:10] [bc2cf5f41ec5ca561b7a550898b8dd0d] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211178&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211178&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211178&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4620	251.5407069894	880
2	4646.66666666667	344.867124170068	1200
3	4696.66666666667	391.345774413772	1360
4	4753.33333333333	345.288636396048	1240
5	4723.33333333333	451.730678679903	1600
6	4703.33333333333	381.178396157193	1280
7	4743.33333333333	380.79661317567	1280
8	4793.33333333333	391.113406788488	1160
9	4816.66666666667	431.305277528855	1560

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4620 & 251.5407069894 & 880 \tabularnewline
2 & 4646.66666666667 & 344.867124170068 & 1200 \tabularnewline
3 & 4696.66666666667 & 391.345774413772 & 1360 \tabularnewline
4 & 4753.33333333333 & 345.288636396048 & 1240 \tabularnewline
5 & 4723.33333333333 & 451.730678679903 & 1600 \tabularnewline
6 & 4703.33333333333 & 381.178396157193 & 1280 \tabularnewline
7 & 4743.33333333333 & 380.79661317567 & 1280 \tabularnewline
8 & 4793.33333333333 & 391.113406788488 & 1160 \tabularnewline
9 & 4816.66666666667 & 431.305277528855 & 1560 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211178&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]4620[/C][C]251.5407069894[/C][C]880[/C][/ROW]
[ROW][C]2[/C][C]4646.66666666667[/C][C]344.867124170068[/C][C]1200[/C][/ROW]
[ROW][C]3[/C][C]4696.66666666667[/C][C]391.345774413772[/C][C]1360[/C][/ROW]
[ROW][C]4[/C][C]4753.33333333333[/C][C]345.288636396048[/C][C]1240[/C][/ROW]
[ROW][C]5[/C][C]4723.33333333333[/C][C]451.730678679903[/C][C]1600[/C][/ROW]
[ROW][C]6[/C][C]4703.33333333333[/C][C]381.178396157193[/C][C]1280[/C][/ROW]
[ROW][C]7[/C][C]4743.33333333333[/C][C]380.79661317567[/C][C]1280[/C][/ROW]
[ROW][C]8[/C][C]4793.33333333333[/C][C]391.113406788488[/C][C]1160[/C][/ROW]
[ROW][C]9[/C][C]4816.66666666667[/C][C]431.305277528855[/C][C]1560[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211178&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211178&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	4620	251.5407069894	880
2	4646.66666666667	344.867124170068	1200
3	4696.66666666667	391.345774413772	1360
4	4753.33333333333	345.288636396048	1240
5	4723.33333333333	451.730678679903	1600
6	4703.33333333333	381.178396157193	1280
7	4743.33333333333	380.79661317567	1280
8	4793.33333333333	391.113406788488	1160
9	4816.66666666667	431.305277528855	1560

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-2541.77729696227
beta	0.617581668059296
S.D.	0.250207491918768
T-STAT	2.46827808121668
p-value	0.0429411900044206

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2541.77729696227 \tabularnewline
beta & 0.617581668059296 \tabularnewline
S.D. & 0.250207491918768 \tabularnewline
T-STAT & 2.46827808121668 \tabularnewline
p-value & 0.0429411900044206 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211178&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2541.77729696227[/C][/ROW]
[ROW][C]beta[/C][C]0.617581668059296[/C][/ROW]
[ROW][C]S.D.[/C][C]0.250207491918768[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.46827808121668[/C][/ROW]
[ROW][C]p-value[/C][C]0.0429411900044206[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211178&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211178&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	-2541.77729696227
beta	0.617581668059296
S.D.	0.250207491918768
T-STAT	2.46827808121668
p-value	0.0429411900044206

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-67.7719973762082
beta	8.70996762455412
S.D.	3.40782890293441
T-STAT	2.55586999014362
p-value	0.037778574719673
Lambda	-7.70996762455412

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -67.7719973762082 \tabularnewline
beta & 8.70996762455412 \tabularnewline
S.D. & 3.40782890293441 \tabularnewline
T-STAT & 2.55586999014362 \tabularnewline
p-value & 0.037778574719673 \tabularnewline
Lambda & -7.70996762455412 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211178&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-67.7719973762082[/C][/ROW]
[ROW][C]beta[/C][C]8.70996762455412[/C][/ROW]
[ROW][C]S.D.[/C][C]3.40782890293441[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.55586999014362[/C][/ROW]
[ROW][C]p-value[/C][C]0.037778574719673[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.70996762455412[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211178&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211178&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	-67.7719973762082
beta	8.70996762455412
S.D.	3.40782890293441
T-STAT	2.55586999014362
p-value	0.037778574719673
Lambda	-7.70996762455412

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