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of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 26 Nov 2007 13:02:09 -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/Nov/26/t11961067483omjnimxwvu4n72.htm/, Retrieved Fri, 03 May 2024 01:14:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6660, Retrieved Fri, 03 May 2024 01:14:53 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

174

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

-       [Standard Deviation-Mean Plot] [jhgj] [2007-11-26 20:02:09] [fa77851485501f69e030fcd6dbd2de67] [Current]

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Dataseries X:

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Histogram

Boxplots

15
3
2
-2
1
1
-1
-6
-13
-25
-26
-9
1
3
6
2
5
5
0
-5
-4
-2
-1
-8
-16
-19
-28
-11
-4
-9
-12
-10
-2
-13
0
0
4
7
5
2
-2
6
-3
1
0
-7
-6
-4
-4
-2
2
-5
-15
-16
-18
-13
-23
-10
-10
-6
-3
-4
-7
-7
-7
-3
0
-5
-3
3
2
-7
-1
0
-3
4
2
3
0
-10
-10

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6660&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6660&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6660&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-5	11.8013866673678	31
2	0.166666666666667	4.36584540044721	25
3	-10.3333333333333	8.28287755590173	28
4	0.25	4.7121699305676	18
5	-10	7.31126155013931	17
6	-3.41666666666667	3.52802631749959	19

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -5 & 11.8013866673678 & 31 \tabularnewline
2 & 0.166666666666667 & 4.36584540044721 & 25 \tabularnewline
3 & -10.3333333333333 & 8.28287755590173 & 28 \tabularnewline
4 & 0.25 & 4.7121699305676 & 18 \tabularnewline
5 & -10 & 7.31126155013931 & 17 \tabularnewline
6 & -3.41666666666667 & 3.52802631749959 & 19 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6660&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]-5[/C][C]11.8013866673678[/C][C]31[/C][/ROW]
[ROW][C]2[/C][C]0.166666666666667[/C][C]4.36584540044721[/C][C]25[/C][/ROW]
[ROW][C]3[/C][C]-10.3333333333333[/C][C]8.28287755590173[/C][C]28[/C][/ROW]
[ROW][C]4[/C][C]0.25[/C][C]4.7121699305676[/C][C]18[/C][/ROW]
[ROW][C]5[/C][C]-10[/C][C]7.31126155013931[/C][C]17[/C][/ROW]
[ROW][C]6[/C][C]-3.41666666666667[/C][C]3.52802631749959[/C][C]19[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6660&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6660&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	-5	11.8013866673678	31
2	0.166666666666667	4.36584540044721	25
3	-10.3333333333333	8.28287755590173	28
4	0.25	4.7121699305676	18
5	-10	7.31126155013931	17
6	-3.41666666666667	3.52802631749959	19

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	4.99046186253516
beta	-0.355016338119259
S.D.	0.28044632346231
T-STAT	-1.26589763679669
p-value	0.274257748327481

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.99046186253516 \tabularnewline
beta & -0.355016338119259 \tabularnewline
S.D. & 0.28044632346231 \tabularnewline
T-STAT & -1.26589763679669 \tabularnewline
p-value & 0.274257748327481 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6660&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.99046186253516[/C][/ROW]
[ROW][C]beta[/C][C]-0.355016338119259[/C][/ROW]
[ROW][C]S.D.[/C][C]0.28044632346231[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.26589763679669[/C][/ROW]
[ROW][C]p-value[/C][C]0.274257748327481[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6660&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6660&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	4.99046186253516
beta	-0.355016338119259
S.D.	0.28044632346231
T-STAT	-1.26589763679669
p-value	0.274257748327481

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.81114527843182
beta	0.188269372428753
S.D.	NaN
T-STAT	NaN
p-value	NaN
Lambda	0.811730627571247

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.81114527843182 \tabularnewline
beta & 0.188269372428753 \tabularnewline
S.D. & NaN \tabularnewline
T-STAT & NaN \tabularnewline
p-value & NaN \tabularnewline
Lambda & 0.811730627571247 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6660&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.81114527843182[/C][/ROW]
[ROW][C]beta[/C][C]0.188269372428753[/C][/ROW]
[ROW][C]S.D.[/C][C]NaN[/C][/ROW]
[ROW][C]T-STAT[/C][C]NaN[/C][/ROW]
[ROW][C]p-value[/C][C]NaN[/C][/ROW]
[ROW][C]Lambda[/C][C]0.811730627571247[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6660&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6660&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	1.81114527843182
beta	0.188269372428753
S.D.	NaN
T-STAT	NaN
p-value	NaN
Lambda	0.811730627571247

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