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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

Mon, 17 Dec 2007 02:44:13 -0700

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/2007/Dec/17/t1197883666pui0g4a72j4yzvl.htm/, Retrieved Sat, 04 May 2024 01:32:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4294, Retrieved Sat, 04 May 2024 01:32:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

212

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

-       [Standard Deviation-Mean Plot] [] [2007-12-17 09:44:13] [6552dbdb87730106b738e8affc0d90fa] [Current]

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Histogram

Boxplots

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4294&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4294&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4294&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	96.965	0.404418774854168	0.920000000000002
2	97.2441666666667	0.1830776453924	0.760000000000005
3	99.655	1.95823900482040	4.8
4	102.3275	0.276771155880220	5.97
5	102.3675	0.0497493718553307	5.78
6	103.034166666667	1.04684337921489	8.1

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 96.965 & 0.404418774854168 & 0.920000000000002 \tabularnewline
2 & 97.2441666666667 & 0.1830776453924 & 0.760000000000005 \tabularnewline
3 & 99.655 & 1.95823900482040 & 4.8 \tabularnewline
4 & 102.3275 & 0.276771155880220 & 5.97 \tabularnewline
5 & 102.3675 & 0.0497493718553307 & 5.78 \tabularnewline
6 & 103.034166666667 & 1.04684337921489 & 8.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4294&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]96.965[/C][C]0.404418774854168[/C][C]0.920000000000002[/C][/ROW]
[ROW][C]2[/C][C]97.2441666666667[/C][C]0.1830776453924[/C][C]0.760000000000005[/C][/ROW]
[ROW][C]3[/C][C]99.655[/C][C]1.95823900482040[/C][C]4.8[/C][/ROW]
[ROW][C]4[/C][C]102.3275[/C][C]0.276771155880220[/C][C]5.97[/C][/ROW]
[ROW][C]5[/C][C]102.3675[/C][C]0.0497493718553307[/C][C]5.78[/C][/ROW]
[ROW][C]6[/C][C]103.034166666667[/C][C]1.04684337921489[/C][C]8.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4294&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4294&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	96.965	0.404418774854168	0.920000000000002
2	97.2441666666667	0.1830776453924	0.760000000000005
3	99.655	1.95823900482040	4.8
4	102.3275	0.276771155880220	5.97
5	102.3675	0.0497493718553307	5.78
6	103.034166666667	1.04684337921489	8.1

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.684383917780069
beta	0.0133402456344228
S.D.	0.134055654418928
T-STAT	0.099512741124176
p-value	0.92551902204029

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.684383917780069 \tabularnewline
beta & 0.0133402456344228 \tabularnewline
S.D. & 0.134055654418928 \tabularnewline
T-STAT & 0.099512741124176 \tabularnewline
p-value & 0.92551902204029 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4294&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.684383917780069[/C][/ROW]
[ROW][C]beta[/C][C]0.0133402456344228[/C][/ROW]
[ROW][C]S.D.[/C][C]0.134055654418928[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.099512741124176[/C][/ROW]
[ROW][C]p-value[/C][C]0.92551902204029[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4294&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4294&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	-0.684383917780069
beta	0.0133402456344228
S.D.	0.134055654418928
T-STAT	0.099512741124176
p-value	0.92551902204029

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	12.6182095260828
beta	-2.96182361668586
S.D.	23.9338704057587
T-STAT	-0.123750298905822
p-value	0.907482204218385
Lambda	3.96182361668586

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 12.6182095260828 \tabularnewline
beta & -2.96182361668586 \tabularnewline
S.D. & 23.9338704057587 \tabularnewline
T-STAT & -0.123750298905822 \tabularnewline
p-value & 0.907482204218385 \tabularnewline
Lambda & 3.96182361668586 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4294&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.6182095260828[/C][/ROW]
[ROW][C]beta[/C][C]-2.96182361668586[/C][/ROW]
[ROW][C]S.D.[/C][C]23.9338704057587[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.123750298905822[/C][/ROW]
[ROW][C]p-value[/C][C]0.907482204218385[/C][/ROW]
[ROW][C]Lambda[/C][C]3.96182361668586[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4294&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4294&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	12.6182095260828
beta	-2.96182361668586
S.D.	23.9338704057587
T-STAT	-0.123750298905822
p-value	0.907482204218385
Lambda	3.96182361668586

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