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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

Thu, 12 Mar 2015 16:09:41 +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/Mar/12/t1426176596vqkoskgxjn0krr5.htm/, Retrieved Fri, 17 May 2024 17:01:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278310, Retrieved Fri, 17 May 2024 17:01:11 +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] [] [2015-03-12 16:09:41] [fd1a5f0fdfa1bb1257f3e725ec184603] [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=278310&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=278310&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278310&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	11261.3333333333	821.451413196437	2712
2	11186.25	1147.99818854783	4132
3	11338.1666666667	700.095166691102	2117
4	11311.75	656.1172463128	1923
5	11734.4166666667	741.911714710209	2095
6	11770.4166666667	1091.95599797572	3485

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 11261.3333333333 & 821.451413196437 & 2712 \tabularnewline
2 & 11186.25 & 1147.99818854783 & 4132 \tabularnewline
3 & 11338.1666666667 & 700.095166691102 & 2117 \tabularnewline
4 & 11311.75 & 656.1172463128 & 1923 \tabularnewline
5 & 11734.4166666667 & 741.911714710209 & 2095 \tabularnewline
6 & 11770.4166666667 & 1091.95599797572 & 3485 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278310&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]11261.3333333333[/C][C]821.451413196437[/C][C]2712[/C][/ROW]
[ROW][C]2[/C][C]11186.25[/C][C]1147.99818854783[/C][C]4132[/C][/ROW]
[ROW][C]3[/C][C]11338.1666666667[/C][C]700.095166691102[/C][C]2117[/C][/ROW]
[ROW][C]4[/C][C]11311.75[/C][C]656.1172463128[/C][C]1923[/C][/ROW]
[ROW][C]5[/C][C]11734.4166666667[/C][C]741.911714710209[/C][C]2095[/C][/ROW]
[ROW][C]6[/C][C]11770.4166666667[/C][C]1091.95599797572[/C][C]3485[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278310&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278310&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	11261.3333333333	821.451413196437	2712
2	11186.25	1147.99818854783	4132
3	11338.1666666667	700.095166691102	2117
4	11311.75	656.1172463128	1923
5	11734.4166666667	741.911714710209	2095
6	11770.4166666667	1091.95599797572	3485

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	210.25318674136
beta	0.0568203793892229
S.D.	0.413769650584497
T-STAT	0.137323700056197
p-value	0.897409860587086

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 210.25318674136 \tabularnewline
beta & 0.0568203793892229 \tabularnewline
S.D. & 0.413769650584497 \tabularnewline
T-STAT & 0.137323700056197 \tabularnewline
p-value & 0.897409860587086 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278310&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]210.25318674136[/C][/ROW]
[ROW][C]beta[/C][C]0.0568203793892229[/C][/ROW]
[ROW][C]S.D.[/C][C]0.413769650584497[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.137323700056197[/C][/ROW]
[ROW][C]p-value[/C][C]0.897409860587086[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278310&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278310&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	210.25318674136
beta	0.0568203793892229
S.D.	0.413769650584497
T-STAT	0.137323700056197
p-value	0.897409860587086

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.29845109373168
beta	0.859543447498531
S.D.	5.33762027506056
T-STAT	0.161034956254691
p-value	0.879871871723323
Lambda	0.140456552501469

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.29845109373168 \tabularnewline
beta & 0.859543447498531 \tabularnewline
S.D. & 5.33762027506056 \tabularnewline
T-STAT & 0.161034956254691 \tabularnewline
p-value & 0.879871871723323 \tabularnewline
Lambda & 0.140456552501469 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278310&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.29845109373168[/C][/ROW]
[ROW][C]beta[/C][C]0.859543447498531[/C][/ROW]
[ROW][C]S.D.[/C][C]5.33762027506056[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.161034956254691[/C][/ROW]
[ROW][C]p-value[/C][C]0.879871871723323[/C][/ROW]
[ROW][C]Lambda[/C][C]0.140456552501469[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278310&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278310&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	-1.29845109373168
beta	0.859543447498531
S.D.	5.33762027506056
T-STAT	0.161034956254691
p-value	0.879871871723323
Lambda	0.140456552501469

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code