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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, 19 Dec 2016 19:47:07 +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/2016/Dec/19/t1482173287g0hx9vnf7kk6gdj.htm/, Retrieved Fri, 17 May 2024 13:00:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301452, Retrieved Fri, 17 May 2024 13:00:49 +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] [N2141 - Standard ...] [2016-12-19 18:47:07] [f8e2c3c70b883e93ecb746821352be11] [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=301452&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=301452&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301452&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	4196.33333333333	724.920977929611	2418
2	4099.33333333333	376.390834912409	1152
3	4463.66666666667	545.683113726328	1594
4	4614.66666666667	218.226460079404	644
5	3981.16666666667	631.717692030422	1598
6	3752.66666666667	224.057351965288	880
7	4124.5	144.806140000409	514
8	3855.66666666667	267.687515698073	822
9	3795.83333333333	209.603015823781	784
10	3472.66666666667	148.155528435697	604

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4196.33333333333 & 724.920977929611 & 2418 \tabularnewline
2 & 4099.33333333333 & 376.390834912409 & 1152 \tabularnewline
3 & 4463.66666666667 & 545.683113726328 & 1594 \tabularnewline
4 & 4614.66666666667 & 218.226460079404 & 644 \tabularnewline
5 & 3981.16666666667 & 631.717692030422 & 1598 \tabularnewline
6 & 3752.66666666667 & 224.057351965288 & 880 \tabularnewline
7 & 4124.5 & 144.806140000409 & 514 \tabularnewline
8 & 3855.66666666667 & 267.687515698073 & 822 \tabularnewline
9 & 3795.83333333333 & 209.603015823781 & 784 \tabularnewline
10 & 3472.66666666667 & 148.155528435697 & 604 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301452&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]4196.33333333333[/C][C]724.920977929611[/C][C]2418[/C][/ROW]
[ROW][C]2[/C][C]4099.33333333333[/C][C]376.390834912409[/C][C]1152[/C][/ROW]
[ROW][C]3[/C][C]4463.66666666667[/C][C]545.683113726328[/C][C]1594[/C][/ROW]
[ROW][C]4[/C][C]4614.66666666667[/C][C]218.226460079404[/C][C]644[/C][/ROW]
[ROW][C]5[/C][C]3981.16666666667[/C][C]631.717692030422[/C][C]1598[/C][/ROW]
[ROW][C]6[/C][C]3752.66666666667[/C][C]224.057351965288[/C][C]880[/C][/ROW]
[ROW][C]7[/C][C]4124.5[/C][C]144.806140000409[/C][C]514[/C][/ROW]
[ROW][C]8[/C][C]3855.66666666667[/C][C]267.687515698073[/C][C]822[/C][/ROW]
[ROW][C]9[/C][C]3795.83333333333[/C][C]209.603015823781[/C][C]784[/C][/ROW]
[ROW][C]10[/C][C]3472.66666666667[/C][C]148.155528435697[/C][C]604[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301452&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301452&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	4196.33333333333	724.920977929611	2418
2	4099.33333333333	376.390834912409	1152
3	4463.66666666667	545.683113726328	1594
4	4614.66666666667	218.226460079404	644
5	3981.16666666667	631.717692030422	1598
6	3752.66666666667	224.057351965288	880
7	4124.5	144.806140000409	514
8	3855.66666666667	267.687515698073	822
9	3795.83333333333	209.603015823781	784
10	3472.66666666667	148.155528435697	604

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-551.874860428258
beta	0.223260125007966
S.D.	0.20430387151539
T-STAT	1.09278460242565
p-value	0.306299983904185

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -551.874860428258 \tabularnewline
beta & 0.223260125007966 \tabularnewline
S.D. & 0.20430387151539 \tabularnewline
T-STAT & 1.09278460242565 \tabularnewline
p-value & 0.306299983904185 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301452&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-551.874860428258[/C][/ROW]
[ROW][C]beta[/C][C]0.223260125007966[/C][/ROW]
[ROW][C]S.D.[/C][C]0.20430387151539[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.09278460242565[/C][/ROW]
[ROW][C]p-value[/C][C]0.306299983904185[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301452&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301452&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	-551.874860428258
beta	0.223260125007966
S.D.	0.20430387151539
T-STAT	1.09278460242565
p-value	0.306299983904185

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-18.0847296830406
beta	2.8654066090742
S.D.	2.23834906911686
T-STAT	1.28014287342802
p-value	0.236364574727564
Lambda	-1.8654066090742

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -18.0847296830406 \tabularnewline
beta & 2.8654066090742 \tabularnewline
S.D. & 2.23834906911686 \tabularnewline
T-STAT & 1.28014287342802 \tabularnewline
p-value & 0.236364574727564 \tabularnewline
Lambda & -1.8654066090742 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301452&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-18.0847296830406[/C][/ROW]
[ROW][C]beta[/C][C]2.8654066090742[/C][/ROW]
[ROW][C]S.D.[/C][C]2.23834906911686[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.28014287342802[/C][/ROW]
[ROW][C]p-value[/C][C]0.236364574727564[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.8654066090742[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301452&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301452&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	-18.0847296830406
beta	2.8654066090742
S.D.	2.23834906911686
T-STAT	1.28014287342802
p-value	0.236364574727564
Lambda	-1.8654066090742

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code