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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

Wed, 27 May 2009 11:52:38 -0600

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/2009/May/27/t12434467910fopucit0uw6xs6.htm/, Retrieved Thu, 02 May 2024 19:40:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40478, Retrieved Thu, 02 May 2024 19:40:55 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

107

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

-       [Standard Deviation-Mean Plot] [Datareeks - Aardo...] [2009-05-27 17:52:38] [900fe54243512ff0c75e5ed1f9ef5c37] [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	'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40478&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40478&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	504882.75	17036.7582279220	32303
2	507718.25	48230.4477577875	103810
3	579154.75	35829.585860245	86143
4	551041.25	30312.0964784138	66683
5	590207.25	28939.662246071	63545
6	646859	25165.7546810476	58882
7	663800.25	64869.0936033229	131555
8	720900.575	30687.9316481659	66616.8
9	696217.025	45265.0861995111	93612.1
10	741029.375	44394.4584013496	100567.9
11	693947.525	93773.5133858303	210298
12	645125.55	34588.5182402581	83564.8999999999
13	598375.925	18853.1806125430	46048.700
14	554229.825	61087.7906075824	122154.5
15	610939.175	19647.3572340532	45947.1000000001
16	704466.3	50738.8351021845	113056.8
17	803073.4	37848.0383599996	87231.3
18	916396.675	94416.0214060578	223200.8
19	1025319.225	327509.930919093	752974.1
20	1072585.075	230562.235801419	555204.6
21	1057055.175	88401.6492346674	180570.6
22	1007798.725	67619.9382353742	155568.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 504882.75 & 17036.7582279220 & 32303 \tabularnewline
2 & 507718.25 & 48230.4477577875 & 103810 \tabularnewline
3 & 579154.75 & 35829.585860245 & 86143 \tabularnewline
4 & 551041.25 & 30312.0964784138 & 66683 \tabularnewline
5 & 590207.25 & 28939.662246071 & 63545 \tabularnewline
6 & 646859 & 25165.7546810476 & 58882 \tabularnewline
7 & 663800.25 & 64869.0936033229 & 131555 \tabularnewline
8 & 720900.575 & 30687.9316481659 & 66616.8 \tabularnewline
9 & 696217.025 & 45265.0861995111 & 93612.1 \tabularnewline
10 & 741029.375 & 44394.4584013496 & 100567.9 \tabularnewline
11 & 693947.525 & 93773.5133858303 & 210298 \tabularnewline
12 & 645125.55 & 34588.5182402581 & 83564.8999999999 \tabularnewline
13 & 598375.925 & 18853.1806125430 & 46048.700 \tabularnewline
14 & 554229.825 & 61087.7906075824 & 122154.5 \tabularnewline
15 & 610939.175 & 19647.3572340532 & 45947.1000000001 \tabularnewline
16 & 704466.3 & 50738.8351021845 & 113056.8 \tabularnewline
17 & 803073.4 & 37848.0383599996 & 87231.3 \tabularnewline
18 & 916396.675 & 94416.0214060578 & 223200.8 \tabularnewline
19 & 1025319.225 & 327509.930919093 & 752974.1 \tabularnewline
20 & 1072585.075 & 230562.235801419 & 555204.6 \tabularnewline
21 & 1057055.175 & 88401.6492346674 & 180570.6 \tabularnewline
22 & 1007798.725 & 67619.9382353742 & 155568.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40478&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]504882.75[/C][C]17036.7582279220[/C][C]32303[/C][/ROW]
[ROW][C]2[/C][C]507718.25[/C][C]48230.4477577875[/C][C]103810[/C][/ROW]
[ROW][C]3[/C][C]579154.75[/C][C]35829.585860245[/C][C]86143[/C][/ROW]
[ROW][C]4[/C][C]551041.25[/C][C]30312.0964784138[/C][C]66683[/C][/ROW]
[ROW][C]5[/C][C]590207.25[/C][C]28939.662246071[/C][C]63545[/C][/ROW]
[ROW][C]6[/C][C]646859[/C][C]25165.7546810476[/C][C]58882[/C][/ROW]
[ROW][C]7[/C][C]663800.25[/C][C]64869.0936033229[/C][C]131555[/C][/ROW]
[ROW][C]8[/C][C]720900.575[/C][C]30687.9316481659[/C][C]66616.8[/C][/ROW]
[ROW][C]9[/C][C]696217.025[/C][C]45265.0861995111[/C][C]93612.1[/C][/ROW]
[ROW][C]10[/C][C]741029.375[/C][C]44394.4584013496[/C][C]100567.9[/C][/ROW]
[ROW][C]11[/C][C]693947.525[/C][C]93773.5133858303[/C][C]210298[/C][/ROW]
[ROW][C]12[/C][C]645125.55[/C][C]34588.5182402581[/C][C]83564.8999999999[/C][/ROW]
[ROW][C]13[/C][C]598375.925[/C][C]18853.1806125430[/C][C]46048.700[/C][/ROW]
[ROW][C]14[/C][C]554229.825[/C][C]61087.7906075824[/C][C]122154.5[/C][/ROW]
[ROW][C]15[/C][C]610939.175[/C][C]19647.3572340532[/C][C]45947.1000000001[/C][/ROW]
[ROW][C]16[/C][C]704466.3[/C][C]50738.8351021845[/C][C]113056.8[/C][/ROW]
[ROW][C]17[/C][C]803073.4[/C][C]37848.0383599996[/C][C]87231.3[/C][/ROW]
[ROW][C]18[/C][C]916396.675[/C][C]94416.0214060578[/C][C]223200.8[/C][/ROW]
[ROW][C]19[/C][C]1025319.225[/C][C]327509.930919093[/C][C]752974.1[/C][/ROW]
[ROW][C]20[/C][C]1072585.075[/C][C]230562.235801419[/C][C]555204.6[/C][/ROW]
[ROW][C]21[/C][C]1057055.175[/C][C]88401.6492346674[/C][C]180570.6[/C][/ROW]
[ROW][C]22[/C][C]1007798.725[/C][C]67619.9382353742[/C][C]155568.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40478&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	504882.75	17036.7582279220	32303
2	507718.25	48230.4477577875	103810
3	579154.75	35829.585860245	86143
4	551041.25	30312.0964784138	66683
5	590207.25	28939.662246071	63545
6	646859	25165.7546810476	58882
7	663800.25	64869.0936033229	131555
8	720900.575	30687.9316481659	66616.8
9	696217.025	45265.0861995111	93612.1
10	741029.375	44394.4584013496	100567.9
11	693947.525	93773.5133858303	210298
12	645125.55	34588.5182402581	83564.8999999999
13	598375.925	18853.1806125430	46048.700
14	554229.825	61087.7906075824	122154.5
15	610939.175	19647.3572340532	45947.1000000001
16	704466.3	50738.8351021845	113056.8
17	803073.4	37848.0383599996	87231.3
18	916396.675	94416.0214060578	223200.8
19	1025319.225	327509.930919093	752974.1
20	1072585.075	230562.235801419	555204.6
21	1057055.175	88401.6492346674	180570.6
22	1007798.725	67619.9382353742	155568.1

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-137245.554947514
beta	0.284132221422086
S.D.	0.0653294988035084
T-STAT	4.34921783613664
p-value	0.000310979995496975

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -137245.554947514 \tabularnewline
beta & 0.284132221422086 \tabularnewline
S.D. & 0.0653294988035084 \tabularnewline
T-STAT & 4.34921783613664 \tabularnewline
p-value & 0.000310979995496975 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40478&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-137245.554947514[/C][/ROW]
[ROW][C]beta[/C][C]0.284132221422086[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0653294988035084[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.34921783613664[/C][/ROW]
[ROW][C]p-value[/C][C]0.000310979995496975[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40478&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40478&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	-137245.554947514
beta	0.284132221422086
S.D.	0.0653294988035084
T-STAT	4.34921783613664
p-value	0.000310979995496975

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-20.9943517409640
beta	2.36171928273653
S.D.	0.473033156421418
T-STAT	4.9927140427182
p-value	6.98911485350604e-05
Lambda	-1.36171928273653

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -20.9943517409640 \tabularnewline
beta & 2.36171928273653 \tabularnewline
S.D. & 0.473033156421418 \tabularnewline
T-STAT & 4.9927140427182 \tabularnewline
p-value & 6.98911485350604e-05 \tabularnewline
Lambda & -1.36171928273653 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40478&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-20.9943517409640[/C][/ROW]
[ROW][C]beta[/C][C]2.36171928273653[/C][/ROW]
[ROW][C]S.D.[/C][C]0.473033156421418[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.9927140427182[/C][/ROW]
[ROW][C]p-value[/C][C]6.98911485350604e-05[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.36171928273653[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40478&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40478&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	-20.9943517409640
beta	2.36171928273653
S.D.	0.473033156421418
T-STAT	4.9927140427182
p-value	6.98911485350604e-05
Lambda	-1.36171928273653

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 4 ;

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code