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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

Mon, 23 Jan 2017 09:12:41 +0100

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/2017/Jan/23/t1485159207bvejmyw8dowh584.htm/, Retrieved Wed, 15 May 2024 08:57:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303643, Retrieved Wed, 15 May 2024 08:57:44 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [examen tijdreeks ...] [2017-01-23 08:12:41] [d92250bd36540c2281a4ec15b45df1dd] [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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303643&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=303643&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303643&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	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2419	498.861904739177	1380
2	1937.66666666667	387.696100917544	988
3	2475.5	551.912583657956	1212
4	1874.66666666667	526.070971130956	1441
5	2514	928.346056166557	2311
6	1772.33333333333	574.938489463583	1523
7	2254.5	551.36185939907	1548
8	1617	350.271894390629	947
9	2350.5	605.554869520508	1504
10	1641.33333333333	426.051953013558	1134
11	2267	600.398201196506	1580
12	1556	237.974788580639	582

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2419 & 498.861904739177 & 1380 \tabularnewline
2 & 1937.66666666667 & 387.696100917544 & 988 \tabularnewline
3 & 2475.5 & 551.912583657956 & 1212 \tabularnewline
4 & 1874.66666666667 & 526.070971130956 & 1441 \tabularnewline
5 & 2514 & 928.346056166557 & 2311 \tabularnewline
6 & 1772.33333333333 & 574.938489463583 & 1523 \tabularnewline
7 & 2254.5 & 551.36185939907 & 1548 \tabularnewline
8 & 1617 & 350.271894390629 & 947 \tabularnewline
9 & 2350.5 & 605.554869520508 & 1504 \tabularnewline
10 & 1641.33333333333 & 426.051953013558 & 1134 \tabularnewline
11 & 2267 & 600.398201196506 & 1580 \tabularnewline
12 & 1556 & 237.974788580639 & 582 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303643&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]2419[/C][C]498.861904739177[/C][C]1380[/C][/ROW]
[ROW][C]2[/C][C]1937.66666666667[/C][C]387.696100917544[/C][C]988[/C][/ROW]
[ROW][C]3[/C][C]2475.5[/C][C]551.912583657956[/C][C]1212[/C][/ROW]
[ROW][C]4[/C][C]1874.66666666667[/C][C]526.070971130956[/C][C]1441[/C][/ROW]
[ROW][C]5[/C][C]2514[/C][C]928.346056166557[/C][C]2311[/C][/ROW]
[ROW][C]6[/C][C]1772.33333333333[/C][C]574.938489463583[/C][C]1523[/C][/ROW]
[ROW][C]7[/C][C]2254.5[/C][C]551.36185939907[/C][C]1548[/C][/ROW]
[ROW][C]8[/C][C]1617[/C][C]350.271894390629[/C][C]947[/C][/ROW]
[ROW][C]9[/C][C]2350.5[/C][C]605.554869520508[/C][C]1504[/C][/ROW]
[ROW][C]10[/C][C]1641.33333333333[/C][C]426.051953013558[/C][C]1134[/C][/ROW]
[ROW][C]11[/C][C]2267[/C][C]600.398201196506[/C][C]1580[/C][/ROW]
[ROW][C]12[/C][C]1556[/C][C]237.974788580639[/C][C]582[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303643&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303643&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	2419	498.861904739177	1380
2	1937.66666666667	387.696100917544	988
3	2475.5	551.912583657956	1212
4	1874.66666666667	526.070971130956	1441
5	2514	928.346056166557	2311
6	1772.33333333333	574.938489463583	1523
7	2254.5	551.36185939907	1548
8	1617	350.271894390629	947
9	2350.5	605.554869520508	1504
10	1641.33333333333	426.051953013558	1134
11	2267	600.398201196506	1580
12	1556	237.974788580639	582

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-191.251084493351
beta	0.345811409716441
S.D.	0.1023028450475
T-STAT	3.38027167823023
p-value	0.00699940934061903

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -191.251084493351 \tabularnewline
beta & 0.345811409716441 \tabularnewline
S.D. & 0.1023028450475 \tabularnewline
T-STAT & 3.38027167823023 \tabularnewline
p-value & 0.00699940934061903 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303643&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-191.251084493351[/C][/ROW]
[ROW][C]beta[/C][C]0.345811409716441[/C][/ROW]
[ROW][C]S.D.[/C][C]0.1023028450475[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.38027167823023[/C][/ROW]
[ROW][C]p-value[/C][C]0.00699940934061903[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303643&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303643&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	-191.251084493351
beta	0.345811409716441
S.D.	0.1023028450475
T-STAT	3.38027167823023
p-value	0.00699940934061903

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.75780620268908
beta	1.43956017279021
S.D.	0.384705260571959
T-STAT	3.7419820322965
p-value	0.00383402514350031
Lambda	-0.439560172790213

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.75780620268908 \tabularnewline
beta & 1.43956017279021 \tabularnewline
S.D. & 0.384705260571959 \tabularnewline
T-STAT & 3.7419820322965 \tabularnewline
p-value & 0.00383402514350031 \tabularnewline
Lambda & -0.439560172790213 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303643&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.75780620268908[/C][/ROW]
[ROW][C]beta[/C][C]1.43956017279021[/C][/ROW]
[ROW][C]S.D.[/C][C]0.384705260571959[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.7419820322965[/C][/ROW]
[ROW][C]p-value[/C][C]0.00383402514350031[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.439560172790213[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303643&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303643&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	-4.75780620268908
beta	1.43956017279021
S.D.	0.384705260571959
T-STAT	3.7419820322965
p-value	0.00383402514350031
Lambda	-0.439560172790213

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ;

Parameters (R input):

par1 = 6 ;

R code (references can be found in the software module):

par1 <- '12'
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