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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

Thu, 22 Dec 2011 07:41:52 -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/22/t13245578031pua2alfomznvg3.htm/, Retrieved Fri, 03 May 2024 12:12:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159373, Retrieved Fri, 03 May 2024 12:12:04 +0000

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

-     [Kendall tau Correlation Matrix] [] [2010-12-05 17:44:33] [b98453cac15ba1066b407e146608df68]
- RMPD    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2011-12-22 12:41:52] [e569a00cc6e8044e6afea1f18dd335a0] [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=159373&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=159373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159373&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	2751.83333333333	243.122802241371	664
2	2621.41666666667	304.628375188026	843
3	2631.5	382.311034725297	1257
4	2661.16666666667	211.736042078696	657
5	2611.75	252.280192354742	801
6	2502.08333333333	286.483525889466	1039
7	2363.75	425.342669342774	1359

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2751.83333333333 & 243.122802241371 & 664 \tabularnewline
2 & 2621.41666666667 & 304.628375188026 & 843 \tabularnewline
3 & 2631.5 & 382.311034725297 & 1257 \tabularnewline
4 & 2661.16666666667 & 211.736042078696 & 657 \tabularnewline
5 & 2611.75 & 252.280192354742 & 801 \tabularnewline
6 & 2502.08333333333 & 286.483525889466 & 1039 \tabularnewline
7 & 2363.75 & 425.342669342774 & 1359 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159373&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]2751.83333333333[/C][C]243.122802241371[/C][C]664[/C][/ROW]
[ROW][C]2[/C][C]2621.41666666667[/C][C]304.628375188026[/C][C]843[/C][/ROW]
[ROW][C]3[/C][C]2631.5[/C][C]382.311034725297[/C][C]1257[/C][/ROW]
[ROW][C]4[/C][C]2661.16666666667[/C][C]211.736042078696[/C][C]657[/C][/ROW]
[ROW][C]5[/C][C]2611.75[/C][C]252.280192354742[/C][C]801[/C][/ROW]
[ROW][C]6[/C][C]2502.08333333333[/C][C]286.483525889466[/C][C]1039[/C][/ROW]
[ROW][C]7[/C][C]2363.75[/C][C]425.342669342774[/C][C]1359[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159373&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	2751.83333333333	243.122802241371	664
2	2621.41666666667	304.628375188026	843
3	2631.5	382.311034725297	1257
4	2661.16666666667	211.736042078696	657
5	2611.75	252.280192354742	801
6	2502.08333333333	286.483525889466	1039
7	2363.75	425.342669342774	1359

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1415.73009863906
beta	-0.430137848190982
S.D.	0.200290126940754
T-STAT	-2.14757389573285
p-value	0.0845038616336044

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1415.73009863906 \tabularnewline
beta & -0.430137848190982 \tabularnewline
S.D. & 0.200290126940754 \tabularnewline
T-STAT & -2.14757389573285 \tabularnewline
p-value & 0.0845038616336044 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159373&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1415.73009863906[/C][/ROW]
[ROW][C]beta[/C][C]-0.430137848190982[/C][/ROW]
[ROW][C]S.D.[/C][C]0.200290126940754[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.14757389573285[/C][/ROW]
[ROW][C]p-value[/C][C]0.0845038616336044[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159373&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159373&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	1415.73009863906
beta	-0.430137848190982
S.D.	0.200290126940754
T-STAT	-2.14757389573285
p-value	0.0845038616336044

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	32.90257371329
beta	-3.46389518572876
S.D.	1.67105601892896
T-STAT	-2.07287795650854
p-value	0.0928990782187077
Lambda	4.46389518572876

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 32.90257371329 \tabularnewline
beta & -3.46389518572876 \tabularnewline
S.D. & 1.67105601892896 \tabularnewline
T-STAT & -2.07287795650854 \tabularnewline
p-value & 0.0928990782187077 \tabularnewline
Lambda & 4.46389518572876 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159373&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]32.90257371329[/C][/ROW]
[ROW][C]beta[/C][C]-3.46389518572876[/C][/ROW]
[ROW][C]S.D.[/C][C]1.67105601892896[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.07287795650854[/C][/ROW]
[ROW][C]p-value[/C][C]0.0928990782187077[/C][/ROW]
[ROW][C]Lambda[/C][C]4.46389518572876[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159373&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159373&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	32.90257371329
beta	-3.46389518572876
S.D.	1.67105601892896
T-STAT	-2.07287795650854
p-value	0.0928990782187077
Lambda	4.46389518572876

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