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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

Tue, 17 Aug 2010 12:11:54 +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/Aug/17/t1282047340etaw1l0ae92f8yy.htm/, Retrieved Sat, 27 Apr 2024 06:27:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79095, Retrieved Sat, 27 Apr 2024 06:27:31 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Kalhöfer Pim

Estimated Impact

136

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

-       [Standard Deviation-Mean Plot] [Tijdreeks A Stap 26] [2010-08-17 12:11:54] [06ce09a0492afa6d4f67026fd1b7902e] [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	11 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 11 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79095&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]11 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79095&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79095&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	11 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	347.5	8.72301032275608	26
2	339.416666666667	9.30745872291615	32
3	312.916666666667	10.5525381120402	35
4	298.5	12.0189244716216	37
5	277.5	10.5528970602217	35
6	266.083333333333	13.6678676486351	41
7	240.333333333333	16.2834736819732	49
8	201.333333333333	20.0695759493787	71
9	150.666666666667	19.731531449265	65
10	114.5	12.5299640861417	38

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 347.5 & 8.72301032275608 & 26 \tabularnewline
2 & 339.416666666667 & 9.30745872291615 & 32 \tabularnewline
3 & 312.916666666667 & 10.5525381120402 & 35 \tabularnewline
4 & 298.5 & 12.0189244716216 & 37 \tabularnewline
5 & 277.5 & 10.5528970602217 & 35 \tabularnewline
6 & 266.083333333333 & 13.6678676486351 & 41 \tabularnewline
7 & 240.333333333333 & 16.2834736819732 & 49 \tabularnewline
8 & 201.333333333333 & 20.0695759493787 & 71 \tabularnewline
9 & 150.666666666667 & 19.731531449265 & 65 \tabularnewline
10 & 114.5 & 12.5299640861417 & 38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79095&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]347.5[/C][C]8.72301032275608[/C][C]26[/C][/ROW]
[ROW][C]2[/C][C]339.416666666667[/C][C]9.30745872291615[/C][C]32[/C][/ROW]
[ROW][C]3[/C][C]312.916666666667[/C][C]10.5525381120402[/C][C]35[/C][/ROW]
[ROW][C]4[/C][C]298.5[/C][C]12.0189244716216[/C][C]37[/C][/ROW]
[ROW][C]5[/C][C]277.5[/C][C]10.5528970602217[/C][C]35[/C][/ROW]
[ROW][C]6[/C][C]266.083333333333[/C][C]13.6678676486351[/C][C]41[/C][/ROW]
[ROW][C]7[/C][C]240.333333333333[/C][C]16.2834736819732[/C][C]49[/C][/ROW]
[ROW][C]8[/C][C]201.333333333333[/C][C]20.0695759493787[/C][C]71[/C][/ROW]
[ROW][C]9[/C][C]150.666666666667[/C][C]19.731531449265[/C][C]65[/C][/ROW]
[ROW][C]10[/C][C]114.5[/C][C]12.5299640861417[/C][C]38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79095&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79095&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	347.5	8.72301032275608	26
2	339.416666666667	9.30745872291615	32
3	312.916666666667	10.5525381120402	35
4	298.5	12.0189244716216	37
5	277.5	10.5528970602217	35
6	266.083333333333	13.6678676486351	41
7	240.333333333333	16.2834736819732	49
8	201.333333333333	20.0695759493787	71
9	150.666666666667	19.731531449265	65
10	114.5	12.5299640861417	38

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	22.5781918819563
beta	-0.0362313594172099
S.D.	0.0132690295210305
T-STAT	-2.73052067295394
p-value	0.0258249948452463

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 22.5781918819563 \tabularnewline
beta & -0.0362313594172099 \tabularnewline
S.D. & 0.0132690295210305 \tabularnewline
T-STAT & -2.73052067295394 \tabularnewline
p-value & 0.0258249948452463 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79095&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.5781918819563[/C][/ROW]
[ROW][C]beta[/C][C]-0.0362313594172099[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0132690295210305[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.73052067295394[/C][/ROW]
[ROW][C]p-value[/C][C]0.0258249948452463[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79095&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79095&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	22.5781918819563
beta	-0.0362313594172099
S.D.	0.0132690295210305
T-STAT	-2.73052067295394
p-value	0.0258249948452463

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.30513744879495
beta	-0.501879154253622
S.D.	0.222675869811029
T-STAT	-2.25385514236246
p-value	0.0542400157612692
Lambda	1.50187915425362

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.30513744879495 \tabularnewline
beta & -0.501879154253622 \tabularnewline
S.D. & 0.222675869811029 \tabularnewline
T-STAT & -2.25385514236246 \tabularnewline
p-value & 0.0542400157612692 \tabularnewline
Lambda & 1.50187915425362 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79095&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.30513744879495[/C][/ROW]
[ROW][C]beta[/C][C]-0.501879154253622[/C][/ROW]
[ROW][C]S.D.[/C][C]0.222675869811029[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.25385514236246[/C][/ROW]
[ROW][C]p-value[/C][C]0.0542400157612692[/C][/ROW]
[ROW][C]Lambda[/C][C]1.50187915425362[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79095&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79095&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	5.30513744879495
beta	-0.501879154253622
S.D.	0.222675869811029
T-STAT	-2.25385514236246
p-value	0.0542400157612692
Lambda	1.50187915425362

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