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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

Wed, 29 Dec 2010 16:09:56 +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/29/t1293638855yuonqvdkew34q13.htm/, Retrieved Fri, 03 May 2024 06:15:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116941, Retrieved Fri, 03 May 2024 06:15:12 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-       [Standard Deviation-Mean Plot] [paper standard de...] [2010-12-29 16:09:56] [be9f1751361e0e66b042227828c71db5] [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	1 seconds
R Server	'Herman Ole Andreas Wold' @ www.yougetit.org

\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 & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116941&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]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116941&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116941&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	'Herman Ole Andreas Wold' @ www.yougetit.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	34899.9166666667	764.884240597982	2556
2	36235.75	485.059345010297	1727
3	36990.9166666667	428.562175044401	1595
4	37922.9166666667	455.174383832142	1725
5	39224.8333333333	485.545959501136	1731
6	40229.3333333333	346.009546198665	1293
7	40768.9166666667	392.450682097493	1443
8	41310.6666666667	367.686213387382	1352
9	41892.0833333333	368.058408984556	1386
10	42671.4166666667	377.359837515463	1462
11	43291.5833333333	343.294852948025	1248
12	44045.75	348.114695049047	1287
13	44502.8333333333	239.271558668971	790
14	44732.1666666667	215.493021753008	783
15	45085.3333333333	252.058915671906	919
16	45411.8333333333	193.209181662746	665
17	45318.8333333333	172.627203867616	577

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 34899.9166666667 & 764.884240597982 & 2556 \tabularnewline
2 & 36235.75 & 485.059345010297 & 1727 \tabularnewline
3 & 36990.9166666667 & 428.562175044401 & 1595 \tabularnewline
4 & 37922.9166666667 & 455.174383832142 & 1725 \tabularnewline
5 & 39224.8333333333 & 485.545959501136 & 1731 \tabularnewline
6 & 40229.3333333333 & 346.009546198665 & 1293 \tabularnewline
7 & 40768.9166666667 & 392.450682097493 & 1443 \tabularnewline
8 & 41310.6666666667 & 367.686213387382 & 1352 \tabularnewline
9 & 41892.0833333333 & 368.058408984556 & 1386 \tabularnewline
10 & 42671.4166666667 & 377.359837515463 & 1462 \tabularnewline
11 & 43291.5833333333 & 343.294852948025 & 1248 \tabularnewline
12 & 44045.75 & 348.114695049047 & 1287 \tabularnewline
13 & 44502.8333333333 & 239.271558668971 & 790 \tabularnewline
14 & 44732.1666666667 & 215.493021753008 & 783 \tabularnewline
15 & 45085.3333333333 & 252.058915671906 & 919 \tabularnewline
16 & 45411.8333333333 & 193.209181662746 & 665 \tabularnewline
17 & 45318.8333333333 & 172.627203867616 & 577 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116941&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]34899.9166666667[/C][C]764.884240597982[/C][C]2556[/C][/ROW]
[ROW][C]2[/C][C]36235.75[/C][C]485.059345010297[/C][C]1727[/C][/ROW]
[ROW][C]3[/C][C]36990.9166666667[/C][C]428.562175044401[/C][C]1595[/C][/ROW]
[ROW][C]4[/C][C]37922.9166666667[/C][C]455.174383832142[/C][C]1725[/C][/ROW]
[ROW][C]5[/C][C]39224.8333333333[/C][C]485.545959501136[/C][C]1731[/C][/ROW]
[ROW][C]6[/C][C]40229.3333333333[/C][C]346.009546198665[/C][C]1293[/C][/ROW]
[ROW][C]7[/C][C]40768.9166666667[/C][C]392.450682097493[/C][C]1443[/C][/ROW]
[ROW][C]8[/C][C]41310.6666666667[/C][C]367.686213387382[/C][C]1352[/C][/ROW]
[ROW][C]9[/C][C]41892.0833333333[/C][C]368.058408984556[/C][C]1386[/C][/ROW]
[ROW][C]10[/C][C]42671.4166666667[/C][C]377.359837515463[/C][C]1462[/C][/ROW]
[ROW][C]11[/C][C]43291.5833333333[/C][C]343.294852948025[/C][C]1248[/C][/ROW]
[ROW][C]12[/C][C]44045.75[/C][C]348.114695049047[/C][C]1287[/C][/ROW]
[ROW][C]13[/C][C]44502.8333333333[/C][C]239.271558668971[/C][C]790[/C][/ROW]
[ROW][C]14[/C][C]44732.1666666667[/C][C]215.493021753008[/C][C]783[/C][/ROW]
[ROW][C]15[/C][C]45085.3333333333[/C][C]252.058915671906[/C][C]919[/C][/ROW]
[ROW][C]16[/C][C]45411.8333333333[/C][C]193.209181662746[/C][C]665[/C][/ROW]
[ROW][C]17[/C][C]45318.8333333333[/C][C]172.627203867616[/C][C]577[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116941&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116941&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	34899.9166666667	764.884240597982	2556
2	36235.75	485.059345010297	1727
3	36990.9166666667	428.562175044401	1595
4	37922.9166666667	455.174383832142	1725
5	39224.8333333333	485.545959501136	1731
6	40229.3333333333	346.009546198665	1293
7	40768.9166666667	392.450682097493	1443
8	41310.6666666667	367.686213387382	1352
9	41892.0833333333	368.058408984556	1386
10	42671.4166666667	377.359837515463	1462
11	43291.5833333333	343.294852948025	1248
12	44045.75	348.114695049047	1287
13	44502.8333333333	239.271558668971	790
14	44732.1666666667	215.493021753008	783
15	45085.3333333333	252.058915671906	919
16	45411.8333333333	193.209181662746	665
17	45318.8333333333	172.627203867616	577

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1908.72617055399
beta	-0.0372067840164956
S.D.	0.00480693779110124
T-STAT	-7.74022582222179
p-value	1.2899352058054e-06

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1908.72617055399 \tabularnewline
beta & -0.0372067840164956 \tabularnewline
S.D. & 0.00480693779110124 \tabularnewline
T-STAT & -7.74022582222179 \tabularnewline
p-value & 1.2899352058054e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116941&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1908.72617055399[/C][/ROW]
[ROW][C]beta[/C][C]-0.0372067840164956[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00480693779110124[/C][/ROW]
[ROW][C]T-STAT[/C][C]-7.74022582222179[/C][/ROW]
[ROW][C]p-value[/C][C]1.2899352058054e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116941&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116941&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	1908.72617055399
beta	-0.0372067840164956
S.D.	0.00480693779110124
T-STAT	-7.74022582222179
p-value	1.2899352058054e-06

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	48.3391374491051
beta	-3.99868589544675
S.D.	0.53195950488623
T-STAT	-7.5168990472347
p-value	1.83840428979718e-06
Lambda	4.99868589544675

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 48.3391374491051 \tabularnewline
beta & -3.99868589544675 \tabularnewline
S.D. & 0.53195950488623 \tabularnewline
T-STAT & -7.5168990472347 \tabularnewline
p-value & 1.83840428979718e-06 \tabularnewline
Lambda & 4.99868589544675 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116941&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48.3391374491051[/C][/ROW]
[ROW][C]beta[/C][C]-3.99868589544675[/C][/ROW]
[ROW][C]S.D.[/C][C]0.53195950488623[/C][/ROW]
[ROW][C]T-STAT[/C][C]-7.5168990472347[/C][/ROW]
[ROW][C]p-value[/C][C]1.83840428979718e-06[/C][/ROW]
[ROW][C]Lambda[/C][C]4.99868589544675[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116941&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116941&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	48.3391374491051
beta	-3.99868589544675
S.D.	0.53195950488623
T-STAT	-7.5168990472347
p-value	1.83840428979718e-06
Lambda	4.99868589544675

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code