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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

Sat, 13 Dec 2008 05:05:31 -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/13/t1229169995v76r8f87hkstrkw.htm/, Retrieved Sun, 19 May 2024 04:12:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32993, Retrieved Sun, 19 May 2024 04:12:18 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

jenske_cole@hotmail.com

Estimated Impact

197

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

F     [Bivariate Kernel Density Estimation] [Various EDA Topic...] [2008-11-12 13:37:39] [8094ad203a218aaca2d1cea2c78c2d6e]
F    D  [Bivariate Kernel Density Estimation] [opdracht3 blok8 q...] [2008-11-12 17:51:49] [975daa21de49eaf4d491226310243f5a]
- RMPD      [Standard Deviation-Mean Plot] [paper standard de...] [2008-12-13 12:05:31] [120dfa2440e51a0cfc0f5296bc5d7460] [Current]

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Dataseries X:

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Histogram

Boxplots

7,6
7,4
7,3
7,1
6,9
6,8
7,5
7,6
7,8
8
8,1
8,2
8,3
8,2
8
7,9
7,6
7,6
8,2
8,3
8,4
8,4
8,4
8,6
8,9
8,8
8,3
7,5
7,2
7,5
8,8
9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,6
8,2
8,1
8
8,6
8,7
8,8
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8,1
8,2
8,1
8,1
7,9
7,9
7,9
8
8
7,9
8
7,7
7,2
7,5
7,3
7
7
7
7,2
7,3
7,1
6,8
6,6
6,2
6,2
6,8
6,9
6,8
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=32993&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=32993&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32993&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	7.35	0.208166599946613	0.5
2	7.2	0.408248290463863	0.8
3	8.025	0.170782512765993	0.399999999999999
4	8.1	0.182574185835055	0.4
5	7.925	0.377491721763538	0.700000000000001
6	8.45	0.0999999999999996	0.199999999999999
7	8.375	0.639661368746516	1.4
8	8.2	1.00995049383621	2.1
9	8.625	0.499165971062398	1.10000000000000
10	8.475	0.189296944860009	0.4
11	8.35	0.351188458428424	0.700
12	8.55	0.173205080756888	0.4
13	8.625	0.0957427107756335	0.199999999999999
14	8.175	0.0957427107756342	0.200000000000001
15	7.95	0.0999999999999996	0.199999999999999
16	7.975	0.0499999999999998	0.0999999999999996
17	7.425	0.221735578260835	0.5
18	7.05	0.1	0.2
19	6.95	0.310912635102961	0.7
20	6.525	0.377491721763537	0.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.35 & 0.208166599946613 & 0.5 \tabularnewline
2 & 7.2 & 0.408248290463863 & 0.8 \tabularnewline
3 & 8.025 & 0.170782512765993 & 0.399999999999999 \tabularnewline
4 & 8.1 & 0.182574185835055 & 0.4 \tabularnewline
5 & 7.925 & 0.377491721763538 & 0.700000000000001 \tabularnewline
6 & 8.45 & 0.0999999999999996 & 0.199999999999999 \tabularnewline
7 & 8.375 & 0.639661368746516 & 1.4 \tabularnewline
8 & 8.2 & 1.00995049383621 & 2.1 \tabularnewline
9 & 8.625 & 0.499165971062398 & 1.10000000000000 \tabularnewline
10 & 8.475 & 0.189296944860009 & 0.4 \tabularnewline
11 & 8.35 & 0.351188458428424 & 0.700 \tabularnewline
12 & 8.55 & 0.173205080756888 & 0.4 \tabularnewline
13 & 8.625 & 0.0957427107756335 & 0.199999999999999 \tabularnewline
14 & 8.175 & 0.0957427107756342 & 0.200000000000001 \tabularnewline
15 & 7.95 & 0.0999999999999996 & 0.199999999999999 \tabularnewline
16 & 7.975 & 0.0499999999999998 & 0.0999999999999996 \tabularnewline
17 & 7.425 & 0.221735578260835 & 0.5 \tabularnewline
18 & 7.05 & 0.1 & 0.2 \tabularnewline
19 & 6.95 & 0.310912635102961 & 0.7 \tabularnewline
20 & 6.525 & 0.377491721763537 & 0.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32993&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]7.35[/C][C]0.208166599946613[/C][C]0.5[/C][/ROW]
[ROW][C]2[/C][C]7.2[/C][C]0.408248290463863[/C][C]0.8[/C][/ROW]
[ROW][C]3[/C][C]8.025[/C][C]0.170782512765993[/C][C]0.399999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.1[/C][C]0.182574185835055[/C][C]0.4[/C][/ROW]
[ROW][C]5[/C][C]7.925[/C][C]0.377491721763538[/C][C]0.700000000000001[/C][/ROW]
[ROW][C]6[/C][C]8.45[/C][C]0.0999999999999996[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]7[/C][C]8.375[/C][C]0.639661368746516[/C][C]1.4[/C][/ROW]
[ROW][C]8[/C][C]8.2[/C][C]1.00995049383621[/C][C]2.1[/C][/ROW]
[ROW][C]9[/C][C]8.625[/C][C]0.499165971062398[/C][C]1.10000000000000[/C][/ROW]
[ROW][C]10[/C][C]8.475[/C][C]0.189296944860009[/C][C]0.4[/C][/ROW]
[ROW][C]11[/C][C]8.35[/C][C]0.351188458428424[/C][C]0.700[/C][/ROW]
[ROW][C]12[/C][C]8.55[/C][C]0.173205080756888[/C][C]0.4[/C][/ROW]
[ROW][C]13[/C][C]8.625[/C][C]0.0957427107756335[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]14[/C][C]8.175[/C][C]0.0957427107756342[/C][C]0.200000000000001[/C][/ROW]
[ROW][C]15[/C][C]7.95[/C][C]0.0999999999999996[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]16[/C][C]7.975[/C][C]0.0499999999999998[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]17[/C][C]7.425[/C][C]0.221735578260835[/C][C]0.5[/C][/ROW]
[ROW][C]18[/C][C]7.05[/C][C]0.1[/C][C]0.2[/C][/ROW]
[ROW][C]19[/C][C]6.95[/C][C]0.310912635102961[/C][C]0.7[/C][/ROW]
[ROW][C]20[/C][C]6.525[/C][C]0.377491721763537[/C][C]0.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32993&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32993&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	7.35	0.208166599946613	0.5
2	7.2	0.408248290463863	0.8
3	8.025	0.170782512765993	0.399999999999999
4	8.1	0.182574185835055	0.4
5	7.925	0.377491721763538	0.700000000000001
6	8.45	0.0999999999999996	0.199999999999999
7	8.375	0.639661368746516	1.4
8	8.2	1.00995049383621	2.1
9	8.625	0.499165971062398	1.10000000000000
10	8.475	0.189296944860009	0.4
11	8.35	0.351188458428424	0.700
12	8.55	0.173205080756888	0.4
13	8.625	0.0957427107756335	0.199999999999999
14	8.175	0.0957427107756342	0.200000000000001
15	7.95	0.0999999999999996	0.199999999999999
16	7.975	0.0499999999999998	0.0999999999999996
17	7.425	0.221735578260835	0.5
18	7.05	0.1	0.2
19	6.95	0.310912635102961	0.7
20	6.525	0.377491721763537	0.7

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.190782344573420
beta	0.0116595710276419
S.D.	0.0880591281775287
T-STAT	0.132406160144307
p-value	0.896131931674524

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.190782344573420 \tabularnewline
beta & 0.0116595710276419 \tabularnewline
S.D. & 0.0880591281775287 \tabularnewline
T-STAT & 0.132406160144307 \tabularnewline
p-value & 0.896131931674524 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32993&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.190782344573420[/C][/ROW]
[ROW][C]beta[/C][C]0.0116595710276419[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0880591281775287[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.132406160144307[/C][/ROW]
[ROW][C]p-value[/C][C]0.896131931674524[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32993&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32993&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	0.190782344573420
beta	0.0116595710276419
S.D.	0.0880591281775287
T-STAT	0.132406160144307
p-value	0.896131931674524

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.204307723091978
beta	-0.843144655833313
S.D.	2.20954215901515
T-STAT	-0.381592472627508
p-value	0.70723086439441
Lambda	1.84314465583331

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.204307723091978 \tabularnewline
beta & -0.843144655833313 \tabularnewline
S.D. & 2.20954215901515 \tabularnewline
T-STAT & -0.381592472627508 \tabularnewline
p-value & 0.70723086439441 \tabularnewline
Lambda & 1.84314465583331 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32993&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.204307723091978[/C][/ROW]
[ROW][C]beta[/C][C]-0.843144655833313[/C][/ROW]
[ROW][C]S.D.[/C][C]2.20954215901515[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.381592472627508[/C][/ROW]
[ROW][C]p-value[/C][C]0.70723086439441[/C][/ROW]
[ROW][C]Lambda[/C][C]1.84314465583331[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32993&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32993&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	0.204307723091978
beta	-0.843144655833313
S.D.	2.20954215901515
T-STAT	-0.381592472627508
p-value	0.70723086439441
Lambda	1.84314465583331

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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