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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

Wed, 11 Aug 2010 12:38:47 +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/11/t1281530313z9w56rzpzvhiw7b.htm/, Retrieved Mon, 06 May 2024 02:42:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78627, Retrieved Mon, 06 May 2024 02:42:51 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Marianne Nykjaer

Estimated Impact

145

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 1 stap 26] [2010-08-11 12:38:47] [aec95ccba2c38285ca49e8d90cbfedc9] [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	4 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78627&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78627&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78627&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	4 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	266.5	8.72301032275608	26
2	272.25	12.6212303102928	34
3	282.75	9.9373034571759	28
4	276.583333333333	11.6498796976491	43
5	261.833333333333	16.1461131451805	63
6	231.333333333333	18.8888294710890	71
7	201.833333333333	17.5438843699985	68
8	184.333333333333	19.0565347099496	73
9	169.833333333333	21.3917287895593	85
10	146.5	17.4016718110123	66

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 266.5 & 8.72301032275608 & 26 \tabularnewline
2 & 272.25 & 12.6212303102928 & 34 \tabularnewline
3 & 282.75 & 9.9373034571759 & 28 \tabularnewline
4 & 276.583333333333 & 11.6498796976491 & 43 \tabularnewline
5 & 261.833333333333 & 16.1461131451805 & 63 \tabularnewline
6 & 231.333333333333 & 18.8888294710890 & 71 \tabularnewline
7 & 201.833333333333 & 17.5438843699985 & 68 \tabularnewline
8 & 184.333333333333 & 19.0565347099496 & 73 \tabularnewline
9 & 169.833333333333 & 21.3917287895593 & 85 \tabularnewline
10 & 146.5 & 17.4016718110123 & 66 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78627&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]266.5[/C][C]8.72301032275608[/C][C]26[/C][/ROW]
[ROW][C]2[/C][C]272.25[/C][C]12.6212303102928[/C][C]34[/C][/ROW]
[ROW][C]3[/C][C]282.75[/C][C]9.9373034571759[/C][C]28[/C][/ROW]
[ROW][C]4[/C][C]276.583333333333[/C][C]11.6498796976491[/C][C]43[/C][/ROW]
[ROW][C]5[/C][C]261.833333333333[/C][C]16.1461131451805[/C][C]63[/C][/ROW]
[ROW][C]6[/C][C]231.333333333333[/C][C]18.8888294710890[/C][C]71[/C][/ROW]
[ROW][C]7[/C][C]201.833333333333[/C][C]17.5438843699985[/C][C]68[/C][/ROW]
[ROW][C]8[/C][C]184.333333333333[/C][C]19.0565347099496[/C][C]73[/C][/ROW]
[ROW][C]9[/C][C]169.833333333333[/C][C]21.3917287895593[/C][C]85[/C][/ROW]
[ROW][C]10[/C][C]146.5[/C][C]17.4016718110123[/C][C]66[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78627&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78627&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	266.5	8.72301032275608	26
2	272.25	12.6212303102928	34
3	282.75	9.9373034571759	28
4	276.583333333333	11.6498796976491	43
5	261.833333333333	16.1461131451805	63
6	231.333333333333	18.8888294710890	71
7	201.833333333333	17.5438843699985	68
8	184.333333333333	19.0565347099496	73
9	169.833333333333	21.3917287895593	85
10	146.5	17.4016718110123	66

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	31.1107013772731
beta	-0.0687724589375775
S.D.	0.0182523564267465
T-STAT	-3.76786741008411
p-value	0.00548232399278419

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 31.1107013772731 \tabularnewline
beta & -0.0687724589375775 \tabularnewline
S.D. & 0.0182523564267465 \tabularnewline
T-STAT & -3.76786741008411 \tabularnewline
p-value & 0.00548232399278419 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78627&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]31.1107013772731[/C][/ROW]
[ROW][C]beta[/C][C]-0.0687724589375775[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0182523564267465[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.76786741008411[/C][/ROW]
[ROW][C]p-value[/C][C]0.00548232399278419[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78627&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78627&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	31.1107013772731
beta	-0.0687724589375775
S.D.	0.0182523564267465
T-STAT	-3.76786741008411
p-value	0.00548232399278419

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.93174980883804
beta	-0.968509881166384
S.D.	0.306848479026969
T-STAT	-3.15631312313352
p-value	0.0134696247732067
Lambda	1.96850988116638

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.93174980883804 \tabularnewline
beta & -0.968509881166384 \tabularnewline
S.D. & 0.306848479026969 \tabularnewline
T-STAT & -3.15631312313352 \tabularnewline
p-value & 0.0134696247732067 \tabularnewline
Lambda & 1.96850988116638 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78627&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.93174980883804[/C][/ROW]
[ROW][C]beta[/C][C]-0.968509881166384[/C][/ROW]
[ROW][C]S.D.[/C][C]0.306848479026969[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.15631312313352[/C][/ROW]
[ROW][C]p-value[/C][C]0.0134696247732067[/C][/ROW]
[ROW][C]Lambda[/C][C]1.96850988116638[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78627&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78627&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	7.93174980883804
beta	-0.968509881166384
S.D.	0.306848479026969
T-STAT	-3.15631312313352
p-value	0.0134696247732067
Lambda	1.96850988116638

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