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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

Sat, 05 Dec 2015 15:52:14 +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/2015/Dec/05/t14493307795e3dsrvnkgluvcy.htm/, Retrieved Fri, 17 May 2024 13:23:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285225, Retrieved Fri, 17 May 2024 13:23:54 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

110

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

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2015-12-05 15:52:14] [76c30f62b7052b57088120e90a652e05] [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	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285225&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285225&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285225&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1403.75	811.274320268596	2705
2	1394.75	821.306401135079	2653
3	1463.83333333333	962.565212273323	2796
4	1401.25	864.608595103746	2888
5	1232.5	648.056464992196	1903
6	1354.5	720.980203989995	2359
7	1413.33333333333	703.106526693351	2102
8	1192.91666666667	654.476537301978	2045
9	1019.16666666667	619.136177315303	1988
10	904.75	554.742221052429	1764
11	829.166666666667	469.801860233426	1694
12	772.5	455.13704229905	1453
13	860.666666666667	467.243236895134	1611

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1403.75 & 811.274320268596 & 2705 \tabularnewline
2 & 1394.75 & 821.306401135079 & 2653 \tabularnewline
3 & 1463.83333333333 & 962.565212273323 & 2796 \tabularnewline
4 & 1401.25 & 864.608595103746 & 2888 \tabularnewline
5 & 1232.5 & 648.056464992196 & 1903 \tabularnewline
6 & 1354.5 & 720.980203989995 & 2359 \tabularnewline
7 & 1413.33333333333 & 703.106526693351 & 2102 \tabularnewline
8 & 1192.91666666667 & 654.476537301978 & 2045 \tabularnewline
9 & 1019.16666666667 & 619.136177315303 & 1988 \tabularnewline
10 & 904.75 & 554.742221052429 & 1764 \tabularnewline
11 & 829.166666666667 & 469.801860233426 & 1694 \tabularnewline
12 & 772.5 & 455.13704229905 & 1453 \tabularnewline
13 & 860.666666666667 & 467.243236895134 & 1611 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285225&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]1403.75[/C][C]811.274320268596[/C][C]2705[/C][/ROW]
[ROW][C]2[/C][C]1394.75[/C][C]821.306401135079[/C][C]2653[/C][/ROW]
[ROW][C]3[/C][C]1463.83333333333[/C][C]962.565212273323[/C][C]2796[/C][/ROW]
[ROW][C]4[/C][C]1401.25[/C][C]864.608595103746[/C][C]2888[/C][/ROW]
[ROW][C]5[/C][C]1232.5[/C][C]648.056464992196[/C][C]1903[/C][/ROW]
[ROW][C]6[/C][C]1354.5[/C][C]720.980203989995[/C][C]2359[/C][/ROW]
[ROW][C]7[/C][C]1413.33333333333[/C][C]703.106526693351[/C][C]2102[/C][/ROW]
[ROW][C]8[/C][C]1192.91666666667[/C][C]654.476537301978[/C][C]2045[/C][/ROW]
[ROW][C]9[/C][C]1019.16666666667[/C][C]619.136177315303[/C][C]1988[/C][/ROW]
[ROW][C]10[/C][C]904.75[/C][C]554.742221052429[/C][C]1764[/C][/ROW]
[ROW][C]11[/C][C]829.166666666667[/C][C]469.801860233426[/C][C]1694[/C][/ROW]
[ROW][C]12[/C][C]772.5[/C][C]455.13704229905[/C][C]1453[/C][/ROW]
[ROW][C]13[/C][C]860.666666666667[/C][C]467.243236895134[/C][C]1611[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285225&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285225&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	1403.75	811.274320268596	2705
2	1394.75	821.306401135079	2653
3	1463.83333333333	962.565212273323	2796
4	1401.25	864.608595103746	2888
5	1232.5	648.056464992196	1903
6	1354.5	720.980203989995	2359
7	1413.33333333333	703.106526693351	2102
8	1192.91666666667	654.476537301978	2045
9	1019.16666666667	619.136177315303	1988
10	904.75	554.742221052429	1764
11	829.166666666667	469.801860233426	1694
12	772.5	455.13704229905	1453
13	860.666666666667	467.243236895134	1611

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-8.29702436881219
beta	0.581266658627564
S.D.	0.0685669183168288
T-STAT	8.4773630330255
p-value	3.74904018060561e-06

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -8.29702436881219 \tabularnewline
beta & 0.581266658627564 \tabularnewline
S.D. & 0.0685669183168288 \tabularnewline
T-STAT & 8.4773630330255 \tabularnewline
p-value & 3.74904018060561e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285225&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.29702436881219[/C][/ROW]
[ROW][C]beta[/C][C]0.581266658627564[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0685669183168288[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.4773630330255[/C][/ROW]
[ROW][C]p-value[/C][C]3.74904018060561e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285225&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285225&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	-8.29702436881219
beta	0.581266658627564
S.D.	0.0685669183168288
T-STAT	8.4773630330255
p-value	3.74904018060561e-06

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.462710331982108
beta	0.9865408132674
S.D.	0.0985244885717622
T-STAT	10.0131533547503
p-value	7.2965089284736e-07
Lambda	0.0134591867325997

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.462710331982108 \tabularnewline
beta & 0.9865408132674 \tabularnewline
S.D. & 0.0985244885717622 \tabularnewline
T-STAT & 10.0131533547503 \tabularnewline
p-value & 7.2965089284736e-07 \tabularnewline
Lambda & 0.0134591867325997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285225&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.462710331982108[/C][/ROW]
[ROW][C]beta[/C][C]0.9865408132674[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0985244885717622[/C][/ROW]
[ROW][C]T-STAT[/C][C]10.0131533547503[/C][/ROW]
[ROW][C]p-value[/C][C]7.2965089284736e-07[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0134591867325997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285225&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285225&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	-0.462710331982108
beta	0.9865408132674
S.D.	0.0985244885717622
T-STAT	10.0131533547503
p-value	7.2965089284736e-07
Lambda	0.0134591867325997

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code