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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, 05 Aug 2010 16:34:45 +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/2010/Aug/05/t128102606874que0fzmgw1u9v.htm/, Retrieved Sun, 05 May 2024 17:00:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78430, Retrieved Sun, 05 May 2024 17:00:40 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Mathias Goossenaerts

Estimated Impact

111

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 2 - Sta...] [2010-08-05 16:34:45] [f7fc4e1bbbe57039ee5ebdd2c8b864c0] [Current]

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78430&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78430&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	426.833333333333	2.32900030576263	7
2	404.25	18.9310951515321	56
3	343.083333333333	25.332186975658	71
4	292.25	16.8853082993363	52
5	243.416666666667	23.2670595608053	72
6	176.916666666667	29.2153705913151	85
7	119.083333333333	22.4234387652877	69

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 426.833333333333 & 2.32900030576263 & 7 \tabularnewline
2 & 404.25 & 18.9310951515321 & 56 \tabularnewline
3 & 343.083333333333 & 25.332186975658 & 71 \tabularnewline
4 & 292.25 & 16.8853082993363 & 52 \tabularnewline
5 & 243.416666666667 & 23.2670595608053 & 72 \tabularnewline
6 & 176.916666666667 & 29.2153705913151 & 85 \tabularnewline
7 & 119.083333333333 & 22.4234387652877 & 69 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78430&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]426.833333333333[/C][C]2.32900030576263[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]404.25[/C][C]18.9310951515321[/C][C]56[/C][/ROW]
[ROW][C]3[/C][C]343.083333333333[/C][C]25.332186975658[/C][C]71[/C][/ROW]
[ROW][C]4[/C][C]292.25[/C][C]16.8853082993363[/C][C]52[/C][/ROW]
[ROW][C]5[/C][C]243.416666666667[/C][C]23.2670595608053[/C][C]72[/C][/ROW]
[ROW][C]6[/C][C]176.916666666667[/C][C]29.2153705913151[/C][C]85[/C][/ROW]
[ROW][C]7[/C][C]119.083333333333[/C][C]22.4234387652877[/C][C]69[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78430&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	426.833333333333	2.32900030576263	7
2	404.25	18.9310951515321	56
3	343.083333333333	25.332186975658	71
4	292.25	16.8853082993363	52
5	243.416666666667	23.2670595608053	72
6	176.916666666667	29.2153705913151	85
7	119.083333333333	22.4234387652877	69

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	33.8919021848411
beta	-0.049286176474046
S.D.	0.0257809944224970
T-STAT	-1.91172519051624
p-value	0.114133422242042

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 33.8919021848411 \tabularnewline
beta & -0.049286176474046 \tabularnewline
S.D. & 0.0257809944224970 \tabularnewline
T-STAT & -1.91172519051624 \tabularnewline
p-value & 0.114133422242042 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]33.8919021848411[/C][/ROW]
[ROW][C]beta[/C][C]-0.049286176474046[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0257809944224970[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.91172519051624[/C][/ROW]
[ROW][C]p-value[/C][C]0.114133422242042[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78430&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	33.8919021848411
beta	-0.049286176474046
S.D.	0.0257809944224970
T-STAT	-1.91172519051624
p-value	0.114133422242042

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.25542605380287
beta	-0.98173164043975
S.D.	0.717653197325359
T-STAT	-1.36797501090860
p-value	0.229594112057329
Lambda	1.98173164043975

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.25542605380287 \tabularnewline
beta & -0.98173164043975 \tabularnewline
S.D. & 0.717653197325359 \tabularnewline
T-STAT & -1.36797501090860 \tabularnewline
p-value & 0.229594112057329 \tabularnewline
Lambda & 1.98173164043975 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.25542605380287[/C][/ROW]
[ROW][C]beta[/C][C]-0.98173164043975[/C][/ROW]
[ROW][C]S.D.[/C][C]0.717653197325359[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.36797501090860[/C][/ROW]
[ROW][C]p-value[/C][C]0.229594112057329[/C][/ROW]
[ROW][C]Lambda[/C][C]1.98173164043975[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78430&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	8.25542605380287
beta	-0.98173164043975
S.D.	0.717653197325359
T-STAT	-1.36797501090860
p-value	0.229594112057329
Lambda	1.98173164043975

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