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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

Sun, 18 Dec 2011 09:46:54 -0500

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/2011/Dec/18/t1324219630dn6vgfrp5y8wwmp.htm/, Retrieved Sun, 05 May 2024 18:06:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156926, Retrieved Sun, 05 May 2024 18:06:34 +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] [paper4] [2011-12-18 14:46:54] [47995d3a8fac585eeb070a274b466f8c] [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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156926&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156926&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156926&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	873.583333333333	109.3796211145	427
2	861.166666666667	66.6671969675878	237
3	880	88.283633817373	329
4	891.666666666667	69.5836100520718	222
5	849.083333333333	75.663679690076	262

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 873.583333333333 & 109.3796211145 & 427 \tabularnewline
2 & 861.166666666667 & 66.6671969675878 & 237 \tabularnewline
3 & 880 & 88.283633817373 & 329 \tabularnewline
4 & 891.666666666667 & 69.5836100520718 & 222 \tabularnewline
5 & 849.083333333333 & 75.663679690076 & 262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156926&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]873.583333333333[/C][C]109.3796211145[/C][C]427[/C][/ROW]
[ROW][C]2[/C][C]861.166666666667[/C][C]66.6671969675878[/C][C]237[/C][/ROW]
[ROW][C]3[/C][C]880[/C][C]88.283633817373[/C][C]329[/C][/ROW]
[ROW][C]4[/C][C]891.666666666667[/C][C]69.5836100520718[/C][C]222[/C][/ROW]
[ROW][C]5[/C][C]849.083333333333[/C][C]75.663679690076[/C][C]262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156926&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156926&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	873.583333333333	109.3796211145	427
2	861.166666666667	66.6671969675878	237
3	880	88.283633817373	329
4	891.666666666667	69.5836100520718	222
5	849.083333333333	75.663679690076	262

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-46.0353801492101
beta	0.14688431692978
S.D.	0.604015865960709
T-STAT	0.243179567305166
p-value	0.823545718422316

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -46.0353801492101 \tabularnewline
beta & 0.14688431692978 \tabularnewline
S.D. & 0.604015865960709 \tabularnewline
T-STAT & 0.243179567305166 \tabularnewline
p-value & 0.823545718422316 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156926&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-46.0353801492101[/C][/ROW]
[ROW][C]beta[/C][C]0.14688431692978[/C][/ROW]
[ROW][C]S.D.[/C][C]0.604015865960709[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.243179567305166[/C][/ROW]
[ROW][C]p-value[/C][C]0.823545718422316[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156926&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156926&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	-46.0353801492101
beta	0.14688431692978
S.D.	0.604015865960709
T-STAT	0.243179567305166
p-value	0.823545718422316

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.74228706483157
beta	1.49655106404439
S.D.	6.07800928581037
T-STAT	0.246223885761119
p-value	0.821394555022534
Lambda	-0.496551064044392

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.74228706483157 \tabularnewline
beta & 1.49655106404439 \tabularnewline
S.D. & 6.07800928581037 \tabularnewline
T-STAT & 0.246223885761119 \tabularnewline
p-value & 0.821394555022534 \tabularnewline
Lambda & -0.496551064044392 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156926&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.74228706483157[/C][/ROW]
[ROW][C]beta[/C][C]1.49655106404439[/C][/ROW]
[ROW][C]S.D.[/C][C]6.07800928581037[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.246223885761119[/C][/ROW]
[ROW][C]p-value[/C][C]0.821394555022534[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.496551064044392[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156926&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156926&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	-5.74228706483157
beta	1.49655106404439
S.D.	6.07800928581037
T-STAT	0.246223885761119
p-value	0.821394555022534
Lambda	-0.496551064044392

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