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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

Tue, 16 Dec 2008 10:44:15 -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/2008/Dec/16/t1229449517hocy047neeqww5u.htm/, Retrieved Wed, 15 May 2024 13:05:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34056, Retrieved Wed, 15 May 2024 13:05:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

200

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

-     [Standard Deviation-Mean Plot] [Standard-Deviatio...] [2008-12-11 17:31:41] [888addc516c3b812dd7be4bd54caa358]
-    D    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-16 17:44:15] [4f54996111e63ee83b19b6a8540c6bad] [Current]
-           [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-16 18:10:10] [c65b85921bf03b2616bf1bee11088685] 

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Dataseries X:

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Histogram

Boxplots

5.7
5.7
5.6
5.8
5.6
5.6
5.6
5.5
5.4
5.4
5.5
5.4
5.4
5.2
5.4
5.2
5.1
5.1
5.0
5.0
4.9
5.1
5.0
5.0
4.8
4.7
4.7
4.7
4.7
4.7
4.6
4.7
4.7
4.5
4.4
4.5
4.4
4.6
4.5
4.4
4.5
4.5
4.6
4.7
4.7
4.7
4.8
4.7
5.0
4.9
4.8
5.1
5.0
5.5
5.5
5.7
6.1
6.1
6.5
6.7

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	'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34056&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34056&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	5.56666666666667	0.130267789455786	0.399999999999999
2	5.11666666666667	0.158592292219752	0.5
3	4.64166666666667	0.116450015288131	0.399999999999999
4	4.59166666666667	0.131137217055151	0.399999999999999
5	5.575	0.649650255557138	1.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5.56666666666667 & 0.130267789455786 & 0.399999999999999 \tabularnewline
2 & 5.11666666666667 & 0.158592292219752 & 0.5 \tabularnewline
3 & 4.64166666666667 & 0.116450015288131 & 0.399999999999999 \tabularnewline
4 & 4.59166666666667 & 0.131137217055151 & 0.399999999999999 \tabularnewline
5 & 5.575 & 0.649650255557138 & 1.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34056&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]5.56666666666667[/C][C]0.130267789455786[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]2[/C][C]5.11666666666667[/C][C]0.158592292219752[/C][C]0.5[/C][/ROW]
[ROW][C]3[/C][C]4.64166666666667[/C][C]0.116450015288131[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]4[/C][C]4.59166666666667[/C][C]0.131137217055151[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]5[/C][C]5.575[/C][C]0.649650255557138[/C][C]1.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34056&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	5.56666666666667	0.130267789455786	0.399999999999999
2	5.11666666666667	0.158592292219752	0.5
3	4.64166666666667	0.116450015288131	0.399999999999999
4	4.59166666666667	0.131137217055151	0.399999999999999
5	5.575	0.649650255557138	1.9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.18227795333341
beta	0.278423824893481
S.D.	0.228480355047789
T-STAT	1.21858977694273
p-value	0.310085709993909

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1.18227795333341 \tabularnewline
beta & 0.278423824893481 \tabularnewline
S.D. & 0.228480355047789 \tabularnewline
T-STAT & 1.21858977694273 \tabularnewline
p-value & 0.310085709993909 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34056&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.18227795333341[/C][/ROW]
[ROW][C]beta[/C][C]0.278423824893481[/C][/ROW]
[ROW][C]S.D.[/C][C]0.228480355047789[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.21858977694273[/C][/ROW]
[ROW][C]p-value[/C][C]0.310085709993909[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34056&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34056&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	-1.18227795333341
beta	0.278423824893481
S.D.	0.228480355047789
T-STAT	1.21858977694273
p-value	0.310085709993909

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-9.0466082799417
beta	4.5208254146055
S.D.	3.54104084732707
T-STAT	1.27669394664510
p-value	0.291568659087387
Lambda	-3.5208254146055

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.0466082799417 \tabularnewline
beta & 4.5208254146055 \tabularnewline
S.D. & 3.54104084732707 \tabularnewline
T-STAT & 1.27669394664510 \tabularnewline
p-value & 0.291568659087387 \tabularnewline
Lambda & -3.5208254146055 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34056&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.0466082799417[/C][/ROW]
[ROW][C]beta[/C][C]4.5208254146055[/C][/ROW]
[ROW][C]S.D.[/C][C]3.54104084732707[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.27669394664510[/C][/ROW]
[ROW][C]p-value[/C][C]0.291568659087387[/C][/ROW]
[ROW][C]Lambda[/C][C]-3.5208254146055[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34056&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34056&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	-9.0466082799417
beta	4.5208254146055
S.D.	3.54104084732707
T-STAT	1.27669394664510
p-value	0.291568659087387
Lambda	-3.5208254146055

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