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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

Mon, 08 Dec 2008 11:44:15 -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/08/t122876193971k53rnamchjkqu.htm/, Retrieved Thu, 16 May 2024 09:41:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30680, Retrieved Thu, 16 May 2024 09:41:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

166

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMPD    [Standard Deviation-Mean Plot] [S1 - Invoer] [2008-12-08 18:44:15] [5f3e73ccf1ddc75508eed47fa51813d3] [Current]

Feedback Forum

2008-12-14 12:48:21 [Jeroen Michel] [reply] 
Ook hier stelt de student duidelijk hoe de data, grafieken, en tabellen moeten worden afgelezen. Op die manier kan de lezer van dit werk meteen de resultaten interpreteren. Ook hier hangt dus een zeer uitgebreide analyse aan vast die correct is uitgevoerd.
2008-12-14 14:23:22 [Nathalie Koulouris] [reply] 
De student heeft deze vraag correct beantwoord. De student legt telkens uit hoe hoe er tewerk werd gegaan en legt ook uit wat we uit de cijfergegevens kunnen afleiden. 

Post a new message

Dataseries X:

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Boxplots

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=30680&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=30680&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30680&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	13817.3333333333	744.625510921531	2293
2	14190.5833333333	909.230589647926	3516
3	14538.6666666667	1275.15634216738	5335
4	16422.75	1139.12263886012	4050
5	17917	1677.33007539309	6438
6	18488.5833333333	1158.08262056755	4040
7	21432.5833333333	2283.93330814641	7212

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 13817.3333333333 & 744.625510921531 & 2293 \tabularnewline
2 & 14190.5833333333 & 909.230589647926 & 3516 \tabularnewline
3 & 14538.6666666667 & 1275.15634216738 & 5335 \tabularnewline
4 & 16422.75 & 1139.12263886012 & 4050 \tabularnewline
5 & 17917 & 1677.33007539309 & 6438 \tabularnewline
6 & 18488.5833333333 & 1158.08262056755 & 4040 \tabularnewline
7 & 21432.5833333333 & 2283.93330814641 & 7212 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30680&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]13817.3333333333[/C][C]744.625510921531[/C][C]2293[/C][/ROW]
[ROW][C]2[/C][C]14190.5833333333[/C][C]909.230589647926[/C][C]3516[/C][/ROW]
[ROW][C]3[/C][C]14538.6666666667[/C][C]1275.15634216738[/C][C]5335[/C][/ROW]
[ROW][C]4[/C][C]16422.75[/C][C]1139.12263886012[/C][C]4050[/C][/ROW]
[ROW][C]5[/C][C]17917[/C][C]1677.33007539309[/C][C]6438[/C][/ROW]
[ROW][C]6[/C][C]18488.5833333333[/C][C]1158.08262056755[/C][C]4040[/C][/ROW]
[ROW][C]7[/C][C]21432.5833333333[/C][C]2283.93330814641[/C][C]7212[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30680&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30680&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	13817.3333333333	744.625510921531	2293
2	14190.5833333333	909.230589647926	3516
3	14538.6666666667	1275.15634216738	5335
4	16422.75	1139.12263886012	4050
5	17917	1677.33007539309	6438
6	18488.5833333333	1158.08262056755	4040
7	21432.5833333333	2283.93330814641	7212

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1398.32885098807
beta	0.162453464397582
S.D.	0.041081706527386
T-STAT	3.95439912627014
p-value	0.0108031244201704

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1398.32885098807 \tabularnewline
beta & 0.162453464397582 \tabularnewline
S.D. & 0.041081706527386 \tabularnewline
T-STAT & 3.95439912627014 \tabularnewline
p-value & 0.0108031244201704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30680&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1398.32885098807[/C][/ROW]
[ROW][C]beta[/C][C]0.162453464397582[/C][/ROW]
[ROW][C]S.D.[/C][C]0.041081706527386[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.95439912627014[/C][/ROW]
[ROW][C]p-value[/C][C]0.0108031244201704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30680&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30680&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	-1398.32885098807
beta	0.162453464397582
S.D.	0.041081706527386
T-STAT	3.95439912627014
p-value	0.0108031244201704

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-11.9471589254412
beta	1.96330173009807
S.D.	0.530157046941838
T-STAT	3.70324555982646
p-value	0.0139523202118191
Lambda	-0.963301730098069

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.9471589254412 \tabularnewline
beta & 1.96330173009807 \tabularnewline
S.D. & 0.530157046941838 \tabularnewline
T-STAT & 3.70324555982646 \tabularnewline
p-value & 0.0139523202118191 \tabularnewline
Lambda & -0.963301730098069 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30680&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.9471589254412[/C][/ROW]
[ROW][C]beta[/C][C]1.96330173009807[/C][/ROW]
[ROW][C]S.D.[/C][C]0.530157046941838[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.70324555982646[/C][/ROW]
[ROW][C]p-value[/C][C]0.0139523202118191[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.963301730098069[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30680&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30680&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	-11.9471589254412
beta	1.96330173009807
S.D.	0.530157046941838
T-STAT	3.70324555982646
p-value	0.0139523202118191
Lambda	-0.963301730098069

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