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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, 26 May 2010 22:27:55 +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/May/27/t1274912921cy5hioysjm5th1y.htm/, Retrieved Thu, 02 May 2024 04:00:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76584, Retrieved Thu, 02 May 2024 04:00:01 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

160

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

-       [Standard Deviation-Mean Plot] [Opgave8Oefening3M...] [2010-05-26 22:27:55] [52430d682409e27a0d0e07da361cea73] [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	5 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76584&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76584&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76584&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	5 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	23007.0833333333	622.832453515	2210
2	24246.6666666667	583.162745619769	1710
3	22885.8333333333	562.43720188178	1830
4	21966.6666666667	552.56975426939	1820
5	21921.6666666667	277.974273935012	900
6	21854.1666666667	218.640773596299	760
7	22054.1666666667	174.900404559714	600
8	21686.6666666667	252.022125050860	840
9	21414.1666666667	170.957641395508	540
10	21423.3333333333	185.831464863551	640
11	21521.6666666667	96.3736415617818	330
12	21389.5833333333	80.2116046164862	320
13	22141.6666666667	219.651928507286	810
14	22045	133.075508299202	440
15	22842.5	226.650511902035	860
16	22979.1666666667	489.419105272833	1335
17	24478.75	528.127588751052	1595
18	25244.1666666667	435.409072719047	1325
19	24761.25	234.609201168086	760

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 23007.0833333333 & 622.832453515 & 2210 \tabularnewline
2 & 24246.6666666667 & 583.162745619769 & 1710 \tabularnewline
3 & 22885.8333333333 & 562.43720188178 & 1830 \tabularnewline
4 & 21966.6666666667 & 552.56975426939 & 1820 \tabularnewline
5 & 21921.6666666667 & 277.974273935012 & 900 \tabularnewline
6 & 21854.1666666667 & 218.640773596299 & 760 \tabularnewline
7 & 22054.1666666667 & 174.900404559714 & 600 \tabularnewline
8 & 21686.6666666667 & 252.022125050860 & 840 \tabularnewline
9 & 21414.1666666667 & 170.957641395508 & 540 \tabularnewline
10 & 21423.3333333333 & 185.831464863551 & 640 \tabularnewline
11 & 21521.6666666667 & 96.3736415617818 & 330 \tabularnewline
12 & 21389.5833333333 & 80.2116046164862 & 320 \tabularnewline
13 & 22141.6666666667 & 219.651928507286 & 810 \tabularnewline
14 & 22045 & 133.075508299202 & 440 \tabularnewline
15 & 22842.5 & 226.650511902035 & 860 \tabularnewline
16 & 22979.1666666667 & 489.419105272833 & 1335 \tabularnewline
17 & 24478.75 & 528.127588751052 & 1595 \tabularnewline
18 & 25244.1666666667 & 435.409072719047 & 1325 \tabularnewline
19 & 24761.25 & 234.609201168086 & 760 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76584&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]23007.0833333333[/C][C]622.832453515[/C][C]2210[/C][/ROW]
[ROW][C]2[/C][C]24246.6666666667[/C][C]583.162745619769[/C][C]1710[/C][/ROW]
[ROW][C]3[/C][C]22885.8333333333[/C][C]562.43720188178[/C][C]1830[/C][/ROW]
[ROW][C]4[/C][C]21966.6666666667[/C][C]552.56975426939[/C][C]1820[/C][/ROW]
[ROW][C]5[/C][C]21921.6666666667[/C][C]277.974273935012[/C][C]900[/C][/ROW]
[ROW][C]6[/C][C]21854.1666666667[/C][C]218.640773596299[/C][C]760[/C][/ROW]
[ROW][C]7[/C][C]22054.1666666667[/C][C]174.900404559714[/C][C]600[/C][/ROW]
[ROW][C]8[/C][C]21686.6666666667[/C][C]252.022125050860[/C][C]840[/C][/ROW]
[ROW][C]9[/C][C]21414.1666666667[/C][C]170.957641395508[/C][C]540[/C][/ROW]
[ROW][C]10[/C][C]21423.3333333333[/C][C]185.831464863551[/C][C]640[/C][/ROW]
[ROW][C]11[/C][C]21521.6666666667[/C][C]96.3736415617818[/C][C]330[/C][/ROW]
[ROW][C]12[/C][C]21389.5833333333[/C][C]80.2116046164862[/C][C]320[/C][/ROW]
[ROW][C]13[/C][C]22141.6666666667[/C][C]219.651928507286[/C][C]810[/C][/ROW]
[ROW][C]14[/C][C]22045[/C][C]133.075508299202[/C][C]440[/C][/ROW]
[ROW][C]15[/C][C]22842.5[/C][C]226.650511902035[/C][C]860[/C][/ROW]
[ROW][C]16[/C][C]22979.1666666667[/C][C]489.419105272833[/C][C]1335[/C][/ROW]
[ROW][C]17[/C][C]24478.75[/C][C]528.127588751052[/C][C]1595[/C][/ROW]
[ROW][C]18[/C][C]25244.1666666667[/C][C]435.409072719047[/C][C]1325[/C][/ROW]
[ROW][C]19[/C][C]24761.25[/C][C]234.609201168086[/C][C]760[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76584&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76584&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	23007.0833333333	622.832453515	2210
2	24246.6666666667	583.162745619769	1710
3	22885.8333333333	562.43720188178	1830
4	21966.6666666667	552.56975426939	1820
5	21921.6666666667	277.974273935012	900
6	21854.1666666667	218.640773596299	760
7	22054.1666666667	174.900404559714	600
8	21686.6666666667	252.022125050860	840
9	21414.1666666667	170.957641395508	540
10	21423.3333333333	185.831464863551	640
11	21521.6666666667	96.3736415617818	330
12	21389.5833333333	80.2116046164862	320
13	22141.6666666667	219.651928507286	810
14	22045	133.075508299202	440
15	22842.5	226.650511902035	860
16	22979.1666666667	489.419105272833	1335
17	24478.75	528.127588751052	1595
18	25244.1666666667	435.409072719047	1325
19	24761.25	234.609201168086	760

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1616.21232496651
beta	0.0854988483009517
S.D.	0.0299616728572353
T-STAT	2.85360729717416
p-value	0.0109901767516229

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1616.21232496651 \tabularnewline
beta & 0.0854988483009517 \tabularnewline
S.D. & 0.0299616728572353 \tabularnewline
T-STAT & 2.85360729717416 \tabularnewline
p-value & 0.0109901767516229 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76584&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1616.21232496651[/C][/ROW]
[ROW][C]beta[/C][C]0.0854988483009517[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0299616728572353[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.85360729717416[/C][/ROW]
[ROW][C]p-value[/C][C]0.0109901767516229[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76584&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76584&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	-1616.21232496651
beta	0.0854988483009517
S.D.	0.0299616728572353
T-STAT	2.85360729717416
p-value	0.0109901767516229

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-66.9280567252824
beta	7.23324499729517
S.D.	2.28815621861704
T-STAT	3.16116746682049
p-value	0.00570450094247352
Lambda	-6.23324499729517

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -66.9280567252824 \tabularnewline
beta & 7.23324499729517 \tabularnewline
S.D. & 2.28815621861704 \tabularnewline
T-STAT & 3.16116746682049 \tabularnewline
p-value & 0.00570450094247352 \tabularnewline
Lambda & -6.23324499729517 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76584&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-66.9280567252824[/C][/ROW]
[ROW][C]beta[/C][C]7.23324499729517[/C][/ROW]
[ROW][C]S.D.[/C][C]2.28815621861704[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.16116746682049[/C][/ROW]
[ROW][C]p-value[/C][C]0.00570450094247352[/C][/ROW]
[ROW][C]Lambda[/C][C]-6.23324499729517[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76584&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76584&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	-66.9280567252824
beta	7.23324499729517
S.D.	2.28815621861704
T-STAT	3.16116746682049
p-value	0.00570450094247352
Lambda	-6.23324499729517

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