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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, 08 Dec 2010 21:14:30 +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/08/t1291842807m3jloztcagyhyt9.htm/, Retrieved Fri, 03 May 2024 06:39:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107139, Retrieved Fri, 03 May 2024 06:39:27 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

139

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

-       [Standard Deviation-Mean Plot] [Oefening 8 opgave...] [2010-12-08 21:14:30] [d233a2f4ee72b72346f36fd885afdd7c] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107139&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107139&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107139&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	760.845	10.4357031387444	23.55
2	744.7925	1.23478405669443	2.80000000000007
3	734.995	3.40729120172216	7.30999999999995
4	725.64	6.68058380682411	14.6700000000001
5	713.5825	0.838426104873524	1.69000000000005
6	707.2875	4.41804915469864	9.49
7	697.3275	7.89378394687868	17.78
8	683.86	0.424264068711936	0.960000000000036
9	673.1525	4.49981018118172	9.91999999999996
10	670.52	1.675489978086	3.42999999999995
11	673.865	4.86391817365384	9.96000000000004
12	680.3975	1.22929180153994	2.53999999999996
13	675.8025	5.49123164690765	11.23
14	666.565	0.903198021846077	1.87
15	661.575	1.92299245968362	4.05000000000007
16	660.8375	1.36526859384275	3.21000000000004
17	652.2025	2.98535732088022	7.2299999999999
18	643.34	2.49371209244372	5.70000000000005
19	631.1575	11.952032951204	25.5699999999999
20	614.8225	0.317109339713224	0.650000000000091
21	597.6575	5.27568873860719	11.5
22	587.9525	6.27315643569219	12.64
23	571.445	3.78975372990562	8.22000000000003
24	549.635	6.625730148444	14.05

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 760.845 & 10.4357031387444 & 23.55 \tabularnewline
2 & 744.7925 & 1.23478405669443 & 2.80000000000007 \tabularnewline
3 & 734.995 & 3.40729120172216 & 7.30999999999995 \tabularnewline
4 & 725.64 & 6.68058380682411 & 14.6700000000001 \tabularnewline
5 & 713.5825 & 0.838426104873524 & 1.69000000000005 \tabularnewline
6 & 707.2875 & 4.41804915469864 & 9.49 \tabularnewline
7 & 697.3275 & 7.89378394687868 & 17.78 \tabularnewline
8 & 683.86 & 0.424264068711936 & 0.960000000000036 \tabularnewline
9 & 673.1525 & 4.49981018118172 & 9.91999999999996 \tabularnewline
10 & 670.52 & 1.675489978086 & 3.42999999999995 \tabularnewline
11 & 673.865 & 4.86391817365384 & 9.96000000000004 \tabularnewline
12 & 680.3975 & 1.22929180153994 & 2.53999999999996 \tabularnewline
13 & 675.8025 & 5.49123164690765 & 11.23 \tabularnewline
14 & 666.565 & 0.903198021846077 & 1.87 \tabularnewline
15 & 661.575 & 1.92299245968362 & 4.05000000000007 \tabularnewline
16 & 660.8375 & 1.36526859384275 & 3.21000000000004 \tabularnewline
17 & 652.2025 & 2.98535732088022 & 7.2299999999999 \tabularnewline
18 & 643.34 & 2.49371209244372 & 5.70000000000005 \tabularnewline
19 & 631.1575 & 11.952032951204 & 25.5699999999999 \tabularnewline
20 & 614.8225 & 0.317109339713224 & 0.650000000000091 \tabularnewline
21 & 597.6575 & 5.27568873860719 & 11.5 \tabularnewline
22 & 587.9525 & 6.27315643569219 & 12.64 \tabularnewline
23 & 571.445 & 3.78975372990562 & 8.22000000000003 \tabularnewline
24 & 549.635 & 6.625730148444 & 14.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107139&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]760.845[/C][C]10.4357031387444[/C][C]23.55[/C][/ROW]
[ROW][C]2[/C][C]744.7925[/C][C]1.23478405669443[/C][C]2.80000000000007[/C][/ROW]
[ROW][C]3[/C][C]734.995[/C][C]3.40729120172216[/C][C]7.30999999999995[/C][/ROW]
[ROW][C]4[/C][C]725.64[/C][C]6.68058380682411[/C][C]14.6700000000001[/C][/ROW]
[ROW][C]5[/C][C]713.5825[/C][C]0.838426104873524[/C][C]1.69000000000005[/C][/ROW]
[ROW][C]6[/C][C]707.2875[/C][C]4.41804915469864[/C][C]9.49[/C][/ROW]
[ROW][C]7[/C][C]697.3275[/C][C]7.89378394687868[/C][C]17.78[/C][/ROW]
[ROW][C]8[/C][C]683.86[/C][C]0.424264068711936[/C][C]0.960000000000036[/C][/ROW]
[ROW][C]9[/C][C]673.1525[/C][C]4.49981018118172[/C][C]9.91999999999996[/C][/ROW]
[ROW][C]10[/C][C]670.52[/C][C]1.675489978086[/C][C]3.42999999999995[/C][/ROW]
[ROW][C]11[/C][C]673.865[/C][C]4.86391817365384[/C][C]9.96000000000004[/C][/ROW]
[ROW][C]12[/C][C]680.3975[/C][C]1.22929180153994[/C][C]2.53999999999996[/C][/ROW]
[ROW][C]13[/C][C]675.8025[/C][C]5.49123164690765[/C][C]11.23[/C][/ROW]
[ROW][C]14[/C][C]666.565[/C][C]0.903198021846077[/C][C]1.87[/C][/ROW]
[ROW][C]15[/C][C]661.575[/C][C]1.92299245968362[/C][C]4.05000000000007[/C][/ROW]
[ROW][C]16[/C][C]660.8375[/C][C]1.36526859384275[/C][C]3.21000000000004[/C][/ROW]
[ROW][C]17[/C][C]652.2025[/C][C]2.98535732088022[/C][C]7.2299999999999[/C][/ROW]
[ROW][C]18[/C][C]643.34[/C][C]2.49371209244372[/C][C]5.70000000000005[/C][/ROW]
[ROW][C]19[/C][C]631.1575[/C][C]11.952032951204[/C][C]25.5699999999999[/C][/ROW]
[ROW][C]20[/C][C]614.8225[/C][C]0.317109339713224[/C][C]0.650000000000091[/C][/ROW]
[ROW][C]21[/C][C]597.6575[/C][C]5.27568873860719[/C][C]11.5[/C][/ROW]
[ROW][C]22[/C][C]587.9525[/C][C]6.27315643569219[/C][C]12.64[/C][/ROW]
[ROW][C]23[/C][C]571.445[/C][C]3.78975372990562[/C][C]8.22000000000003[/C][/ROW]
[ROW][C]24[/C][C]549.635[/C][C]6.625730148444[/C][C]14.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107139&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107139&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	760.845	10.4357031387444	23.55
2	744.7925	1.23478405669443	2.80000000000007
3	734.995	3.40729120172216	7.30999999999995
4	725.64	6.68058380682411	14.6700000000001
5	713.5825	0.838426104873524	1.69000000000005
6	707.2875	4.41804915469864	9.49
7	697.3275	7.89378394687868	17.78
8	683.86	0.424264068711936	0.960000000000036
9	673.1525	4.49981018118172	9.91999999999996
10	670.52	1.675489978086	3.42999999999995
11	673.865	4.86391817365384	9.96000000000004
12	680.3975	1.22929180153994	2.53999999999996
13	675.8025	5.49123164690765	11.23
14	666.565	0.903198021846077	1.87
15	661.575	1.92299245968362	4.05000000000007
16	660.8375	1.36526859384275	3.21000000000004
17	652.2025	2.98535732088022	7.2299999999999
18	643.34	2.49371209244372	5.70000000000005
19	631.1575	11.952032951204	25.5699999999999
20	614.8225	0.317109339713224	0.650000000000091
21	597.6575	5.27568873860719	11.5
22	587.9525	6.27315643569219	12.64
23	571.445	3.78975372990562	8.22000000000003
24	549.635	6.625730148444	14.05

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	5.61485998674341
beta	-0.00236306427811569
S.D.	0.0123577651040076
T-STAT	-0.19122100624403
p-value	0.850106223535908

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.61485998674341 \tabularnewline
beta & -0.00236306427811569 \tabularnewline
S.D. & 0.0123577651040076 \tabularnewline
T-STAT & -0.19122100624403 \tabularnewline
p-value & 0.850106223535908 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107139&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.61485998674341[/C][/ROW]
[ROW][C]beta[/C][C]-0.00236306427811569[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0123577651040076[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.19122100624403[/C][/ROW]
[ROW][C]p-value[/C][C]0.850106223535908[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107139&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107139&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	5.61485998674341
beta	-0.00236306427811569
S.D.	0.0123577651040076
T-STAT	-0.19122100624403
p-value	0.850106223535908

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.4266411018621
beta	-0.984971436868842
S.D.	2.51507155762731
T-STAT	-0.39162759957337
p-value	0.699101020861379
Lambda	1.98497143686884

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.4266411018621 \tabularnewline
beta & -0.984971436868842 \tabularnewline
S.D. & 2.51507155762731 \tabularnewline
T-STAT & -0.39162759957337 \tabularnewline
p-value & 0.699101020861379 \tabularnewline
Lambda & 1.98497143686884 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107139&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.4266411018621[/C][/ROW]
[ROW][C]beta[/C][C]-0.984971436868842[/C][/ROW]
[ROW][C]S.D.[/C][C]2.51507155762731[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.39162759957337[/C][/ROW]
[ROW][C]p-value[/C][C]0.699101020861379[/C][/ROW]
[ROW][C]Lambda[/C][C]1.98497143686884[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107139&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107139&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	7.4266411018621
beta	-0.984971436868842
S.D.	2.51507155762731
T-STAT	-0.39162759957337
p-value	0.699101020861379
Lambda	1.98497143686884

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code