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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 06 Dec 2010 22:37:01 +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/06/t1291674948zj1sb3wpg7iqru9.htm/, Retrieved Mon, 29 Apr 2024 07:27:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105957, Retrieved Mon, 29 Apr 2024 07:27:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

123

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD      [Standard Deviation-Mean Plot] [SMP openstaande V...] [2010-12-06 22:37:01] [be034431ba35f7eb1ce695fc7ca4deb9] [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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105957&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105957&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	32892.1666666667	2882.19026036965	8537
2	29549.6666666667	4023.57406324579	11764
3	24044.25	2707.56358525184	7782
4	22535.5833333333	2232.80905255051	6151
5	26126.4166666667	3158.59771700652	9286
6	29938.5833333333	4081.19139152312	13681
7	38362.25	4362.77876681615	13256
8	41819.6666666667	3143.16792520867	9336
9	45307.0833333333	3328.89436896051	10893
10	35840.1666666667	2075.23505057897	6627

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 32892.1666666667 & 2882.19026036965 & 8537 \tabularnewline
2 & 29549.6666666667 & 4023.57406324579 & 11764 \tabularnewline
3 & 24044.25 & 2707.56358525184 & 7782 \tabularnewline
4 & 22535.5833333333 & 2232.80905255051 & 6151 \tabularnewline
5 & 26126.4166666667 & 3158.59771700652 & 9286 \tabularnewline
6 & 29938.5833333333 & 4081.19139152312 & 13681 \tabularnewline
7 & 38362.25 & 4362.77876681615 & 13256 \tabularnewline
8 & 41819.6666666667 & 3143.16792520867 & 9336 \tabularnewline
9 & 45307.0833333333 & 3328.89436896051 & 10893 \tabularnewline
10 & 35840.1666666667 & 2075.23505057897 & 6627 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105957&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]32892.1666666667[/C][C]2882.19026036965[/C][C]8537[/C][/ROW]
[ROW][C]2[/C][C]29549.6666666667[/C][C]4023.57406324579[/C][C]11764[/C][/ROW]
[ROW][C]3[/C][C]24044.25[/C][C]2707.56358525184[/C][C]7782[/C][/ROW]
[ROW][C]4[/C][C]22535.5833333333[/C][C]2232.80905255051[/C][C]6151[/C][/ROW]
[ROW][C]5[/C][C]26126.4166666667[/C][C]3158.59771700652[/C][C]9286[/C][/ROW]
[ROW][C]6[/C][C]29938.5833333333[/C][C]4081.19139152312[/C][C]13681[/C][/ROW]
[ROW][C]7[/C][C]38362.25[/C][C]4362.77876681615[/C][C]13256[/C][/ROW]
[ROW][C]8[/C][C]41819.6666666667[/C][C]3143.16792520867[/C][C]9336[/C][/ROW]
[ROW][C]9[/C][C]45307.0833333333[/C][C]3328.89436896051[/C][C]10893[/C][/ROW]
[ROW][C]10[/C][C]35840.1666666667[/C][C]2075.23505057897[/C][C]6627[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105957&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	32892.1666666667	2882.19026036965	8537
2	29549.6666666667	4023.57406324579	11764
3	24044.25	2707.56358525184	7782
4	22535.5833333333	2232.80905255051	6151
5	26126.4166666667	3158.59771700652	9286
6	29938.5833333333	4081.19139152312	13681
7	38362.25	4362.77876681615	13256
8	41819.6666666667	3143.16792520867	9336
9	45307.0833333333	3328.89436896051	10893
10	35840.1666666667	2075.23505057897	6627

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2361.14089064484
beta	0.0256868460988566
S.D.	0.0346625197792316
T-STAT	0.741055360731366
p-value	0.479844410656325

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2361.14089064484 \tabularnewline
beta & 0.0256868460988566 \tabularnewline
S.D. & 0.0346625197792316 \tabularnewline
T-STAT & 0.741055360731366 \tabularnewline
p-value & 0.479844410656325 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105957&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2361.14089064484[/C][/ROW]
[ROW][C]beta[/C][C]0.0256868460988566[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0346625197792316[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.741055360731366[/C][/ROW]
[ROW][C]p-value[/C][C]0.479844410656325[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105957&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105957&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	2361.14089064484
beta	0.0256868460988566
S.D.	0.0346625197792316
T-STAT	0.741055360731366
p-value	0.479844410656325

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.81944066039298
beta	0.310943262969016
S.D.	0.358842841147866
T-STAT	0.866516556312984
p-value	0.411440689368698
Lambda	0.689056737030984

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.81944066039298 \tabularnewline
beta & 0.310943262969016 \tabularnewline
S.D. & 0.358842841147866 \tabularnewline
T-STAT & 0.866516556312984 \tabularnewline
p-value & 0.411440689368698 \tabularnewline
Lambda & 0.689056737030984 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105957&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.81944066039298[/C][/ROW]
[ROW][C]beta[/C][C]0.310943262969016[/C][/ROW]
[ROW][C]S.D.[/C][C]0.358842841147866[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.866516556312984[/C][/ROW]
[ROW][C]p-value[/C][C]0.411440689368698[/C][/ROW]
[ROW][C]Lambda[/C][C]0.689056737030984[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105957&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105957&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	4.81944066039298
beta	0.310943262969016
S.D.	0.358842841147866
T-STAT	0.866516556312984
p-value	0.411440689368698
Lambda	0.689056737030984

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 2 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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