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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

Tue, 22 Mar 2016 21:40:44 +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/2016/Mar/22/t1458682891rjasughmv8qeeon.htm/, Retrieved Mon, 29 Apr 2024 08:48:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294493, Retrieved Mon, 29 Apr 2024 08:48:16 +0000

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Original text written by user:

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No (this computation is public)

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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] [Standard Deviatio...] [2016-03-22 21:40:44] [45930f35caeb32be6f319da4f3b0c690] [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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294493&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294493&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294493&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	794.25	99.196888697543	348
2	945.666666666667	92.9480141441082	270
3	1037.41666666667	107.634447285357	307
4	805.75	113.026243935565	387
5	610.75	108.540838564863	418

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 794.25 & 99.196888697543 & 348 \tabularnewline
2 & 945.666666666667 & 92.9480141441082 & 270 \tabularnewline
3 & 1037.41666666667 & 107.634447285357 & 307 \tabularnewline
4 & 805.75 & 113.026243935565 & 387 \tabularnewline
5 & 610.75 & 108.540838564863 & 418 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294493&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]794.25[/C][C]99.196888697543[/C][C]348[/C][/ROW]
[ROW][C]2[/C][C]945.666666666667[/C][C]92.9480141441082[/C][C]270[/C][/ROW]
[ROW][C]3[/C][C]1037.41666666667[/C][C]107.634447285357[/C][C]307[/C][/ROW]
[ROW][C]4[/C][C]805.75[/C][C]113.026243935565[/C][C]387[/C][/ROW]
[ROW][C]5[/C][C]610.75[/C][C]108.540838564863[/C][C]418[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294493&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294493&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	794.25	99.196888697543	348
2	945.666666666667	92.9480141441082	270
3	1037.41666666667	107.634447285357	307
4	805.75	113.026243935565	387
5	610.75	108.540838564863	418

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	116.76977146259
beta	-0.0149034116803673
S.D.	0.0272841493014114
T-STAT	-0.546229663081209
p-value	0.622909874112229

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 116.76977146259 \tabularnewline
beta & -0.0149034116803673 \tabularnewline
S.D. & 0.0272841493014114 \tabularnewline
T-STAT & -0.546229663081209 \tabularnewline
p-value & 0.622909874112229 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294493&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]116.76977146259[/C][/ROW]
[ROW][C]beta[/C][C]-0.0149034116803673[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0272841493014114[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.546229663081209[/C][/ROW]
[ROW][C]p-value[/C][C]0.622909874112229[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294493&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294493&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	116.76977146259
beta	-0.0149034116803673
S.D.	0.0272841493014114
T-STAT	-0.546229663081209
p-value	0.622909874112229

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	5.48584940233537
beta	-0.125270484035845
S.D.	0.212839424949671
T-STAT	-0.588568044033509
p-value	0.59752786771855
Lambda	1.12527048403584

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.48584940233537 \tabularnewline
beta & -0.125270484035845 \tabularnewline
S.D. & 0.212839424949671 \tabularnewline
T-STAT & -0.588568044033509 \tabularnewline
p-value & 0.59752786771855 \tabularnewline
Lambda & 1.12527048403584 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294493&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.48584940233537[/C][/ROW]
[ROW][C]beta[/C][C]-0.125270484035845[/C][/ROW]
[ROW][C]S.D.[/C][C]0.212839424949671[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.588568044033509[/C][/ROW]
[ROW][C]p-value[/C][C]0.59752786771855[/C][/ROW]
[ROW][C]Lambda[/C][C]1.12527048403584[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294493&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294493&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	5.48584940233537
beta	-0.125270484035845
S.D.	0.212839424949671
T-STAT	-0.588568044033509
p-value	0.59752786771855
Lambda	1.12527048403584

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code