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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

Sat, 03 Dec 2011 14:25:57 -0500

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/2011/Dec/03/t1322940458glgjmg802ku7ho7.htm/, Retrieved Mon, 29 Apr 2024 07:49:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150533, Retrieved Mon, 29 Apr 2024 07:49:31 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

119

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]
F R PD    [Standard Deviation-Mean Plot] [Box-Cox transform...] [2010-12-02 20:27:12] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- R PD        [Standard Deviation-Mean Plot] [] [2011-12-03 19:25:57] [ce4468323d272130d499477f5e05a6d2] [Current]
- RMPD          [ARIMA Backward Selection] [] [2011-12-20 19:06:42] [06c08141d7d783218a8164fd2ea166f2] 
- R PD          [Standard Deviation-Mean Plot] [] [2011-12-20 19:23:17] [06c08141d7d783218a8164fd2ea166f2] 

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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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150533&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150533&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150533&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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	268366.833333333	22733.9901062597	67367
2	280529.333333333	25923.4728184651	86226
3	288476.583333333	27940.98278176	103448
4	303816.166666667	26030.6025908434	79421
5	315717.416666667	27986.7066380982	83383
6	331229.5	32531.8419719958	95610
7	331084.666666667	32934.4460277005	99280
8	346893.5	31651.6975661367	101571
9	364785	47316.7162888935	162747
10	394973.583333333	32114.0895712836	94852
11	396254.416666667	32686.7687978939	101205
12	398684.5	37139.0771792633	113068
13	412502.916666667	34207.7829327515	106160
14	422075	36910.4105787366	105200
15	454928.416666667	41494.2371978181	129111

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 268366.833333333 & 22733.9901062597 & 67367 \tabularnewline
2 & 280529.333333333 & 25923.4728184651 & 86226 \tabularnewline
3 & 288476.583333333 & 27940.98278176 & 103448 \tabularnewline
4 & 303816.166666667 & 26030.6025908434 & 79421 \tabularnewline
5 & 315717.416666667 & 27986.7066380982 & 83383 \tabularnewline
6 & 331229.5 & 32531.8419719958 & 95610 \tabularnewline
7 & 331084.666666667 & 32934.4460277005 & 99280 \tabularnewline
8 & 346893.5 & 31651.6975661367 & 101571 \tabularnewline
9 & 364785 & 47316.7162888935 & 162747 \tabularnewline
10 & 394973.583333333 & 32114.0895712836 & 94852 \tabularnewline
11 & 396254.416666667 & 32686.7687978939 & 101205 \tabularnewline
12 & 398684.5 & 37139.0771792633 & 113068 \tabularnewline
13 & 412502.916666667 & 34207.7829327515 & 106160 \tabularnewline
14 & 422075 & 36910.4105787366 & 105200 \tabularnewline
15 & 454928.416666667 & 41494.2371978181 & 129111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150533&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]268366.833333333[/C][C]22733.9901062597[/C][C]67367[/C][/ROW]
[ROW][C]2[/C][C]280529.333333333[/C][C]25923.4728184651[/C][C]86226[/C][/ROW]
[ROW][C]3[/C][C]288476.583333333[/C][C]27940.98278176[/C][C]103448[/C][/ROW]
[ROW][C]4[/C][C]303816.166666667[/C][C]26030.6025908434[/C][C]79421[/C][/ROW]
[ROW][C]5[/C][C]315717.416666667[/C][C]27986.7066380982[/C][C]83383[/C][/ROW]
[ROW][C]6[/C][C]331229.5[/C][C]32531.8419719958[/C][C]95610[/C][/ROW]
[ROW][C]7[/C][C]331084.666666667[/C][C]32934.4460277005[/C][C]99280[/C][/ROW]
[ROW][C]8[/C][C]346893.5[/C][C]31651.6975661367[/C][C]101571[/C][/ROW]
[ROW][C]9[/C][C]364785[/C][C]47316.7162888935[/C][C]162747[/C][/ROW]
[ROW][C]10[/C][C]394973.583333333[/C][C]32114.0895712836[/C][C]94852[/C][/ROW]
[ROW][C]11[/C][C]396254.416666667[/C][C]32686.7687978939[/C][C]101205[/C][/ROW]
[ROW][C]12[/C][C]398684.5[/C][C]37139.0771792633[/C][C]113068[/C][/ROW]
[ROW][C]13[/C][C]412502.916666667[/C][C]34207.7829327515[/C][C]106160[/C][/ROW]
[ROW][C]14[/C][C]422075[/C][C]36910.4105787366[/C][C]105200[/C][/ROW]
[ROW][C]15[/C][C]454928.416666667[/C][C]41494.2371978181[/C][C]129111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150533&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150533&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	268366.833333333	22733.9901062597	67367
2	280529.333333333	25923.4728184651	86226
3	288476.583333333	27940.98278176	103448
4	303816.166666667	26030.6025908434	79421
5	315717.416666667	27986.7066380982	83383
6	331229.5	32531.8419719958	95610
7	331084.666666667	32934.4460277005	99280
8	346893.5	31651.6975661367	101571
9	364785	47316.7162888935	162747
10	394973.583333333	32114.0895712836	94852
11	396254.416666667	32686.7687978939	101205
12	398684.5	37139.0771792633	113068
13	412502.916666667	34207.7829327515	106160
14	422075	36910.4105787366	105200
15	454928.416666667	41494.2371978181	129111

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	3515.23660566815
beta	0.0822689503103899
S.D.	0.0207052168400368
T-STAT	3.97334405845535
p-value	0.00158996112248681

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3515.23660566815 \tabularnewline
beta & 0.0822689503103899 \tabularnewline
S.D. & 0.0207052168400368 \tabularnewline
T-STAT & 3.97334405845535 \tabularnewline
p-value & 0.00158996112248681 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150533&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3515.23660566815[/C][/ROW]
[ROW][C]beta[/C][C]0.0822689503103899[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0207052168400368[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.97334405845535[/C][/ROW]
[ROW][C]p-value[/C][C]0.00158996112248681[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150533&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150533&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	3515.23660566815
beta	0.0822689503103899
S.D.	0.0207052168400368
T-STAT	3.97334405845535
p-value	0.00158996112248681

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.55150738486336
beta	0.934421041416536
S.D.	0.19443643126514
T-STAT	4.80579197703092
p-value	0.000343258652264749
Lambda	0.0655789585834644

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.55150738486336 \tabularnewline
beta & 0.934421041416536 \tabularnewline
S.D. & 0.19443643126514 \tabularnewline
T-STAT & 4.80579197703092 \tabularnewline
p-value & 0.000343258652264749 \tabularnewline
Lambda & 0.0655789585834644 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150533&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.55150738486336[/C][/ROW]
[ROW][C]beta[/C][C]0.934421041416536[/C][/ROW]
[ROW][C]S.D.[/C][C]0.19443643126514[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.80579197703092[/C][/ROW]
[ROW][C]p-value[/C][C]0.000343258652264749[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0655789585834644[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150533&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150533&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	-1.55150738486336
beta	0.934421041416536
S.D.	0.19443643126514
T-STAT	4.80579197703092
p-value	0.000343258652264749
Lambda	0.0655789585834644

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code