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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 03 Dec 2009 13:10:35 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/03/t1259871099zo5at9pxxytyqym.htm/, Retrieved Thu, 28 Mar 2024 18:29:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63106, Retrieved Thu, 28 Mar 2024 18:29:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsBasisjaar 2000 = 100
Estimated Impact92
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]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
- R  D      [Standard Deviation-Mean Plot] [Grondstofprijsind...] [2009-12-03 20:10:35] [c483349466b1550829c7523719d2d027] [Current]
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Dataseries X:
117,1
118,7
126,5
127,5
134,6
131,8
135,9
142,7
141,7
153,4
145
137,7
148,3
152,2
169,4
168,6
161,1
174,1
179
190,6
190
181,6
174,8
180,5
196,8
193,8
197
216,3
221,4
217,9
229,7
227,4
204,2
196,6
198,8
207,5
190,7
201,6
210,5
223,5
223,8
231,2
244
234,7
250,2
265,7
287,6
283,3
295,4
312,3
333,8
347,7
383,2
407,1
413,6
362,7
321,9
239,4
191
159,7
163,4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63106&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63106&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63106&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1134.38333333333310.750377019463436.3
2172.51666666666713.427504562943942.3
3208.9513.004369894909835.9
4237.23333333333330.518022494416396.9
5313.98333333333381.0105137209568253.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 134.383333333333 & 10.7503770194634 & 36.3 \tabularnewline
2 & 172.516666666667 & 13.4275045629439 & 42.3 \tabularnewline
3 & 208.95 & 13.0043698949098 & 35.9 \tabularnewline
4 & 237.233333333333 & 30.5180224944163 & 96.9 \tabularnewline
5 & 313.983333333333 & 81.0105137209568 & 253.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63106&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]134.383333333333[/C][C]10.7503770194634[/C][C]36.3[/C][/ROW]
[ROW][C]2[/C][C]172.516666666667[/C][C]13.4275045629439[/C][C]42.3[/C][/ROW]
[ROW][C]3[/C][C]208.95[/C][C]13.0043698949098[/C][C]35.9[/C][/ROW]
[ROW][C]4[/C][C]237.233333333333[/C][C]30.5180224944163[/C][C]96.9[/C][/ROW]
[ROW][C]5[/C][C]313.983333333333[/C][C]81.0105137209568[/C][C]253.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63106&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63106&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
SectionMeanStandard DeviationRange
1134.38333333333310.750377019463436.3
2172.51666666666713.427504562943942.3
3208.9513.004369894909835.9
4237.23333333333330.518022494416396.9
5313.98333333333381.0105137209568253.9







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-55.2726192585933
beta0.398357382218221
S.D.0.102010706685385
T-STAT3.90505462771482
p-value0.0298203486483495

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -55.2726192585933 \tabularnewline
beta & 0.398357382218221 \tabularnewline
S.D. & 0.102010706685385 \tabularnewline
T-STAT & 3.90505462771482 \tabularnewline
p-value & 0.0298203486483495 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63106&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-55.2726192585933[/C][/ROW]
[ROW][C]beta[/C][C]0.398357382218221[/C][/ROW]
[ROW][C]S.D.[/C][C]0.102010706685385[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.90505462771482[/C][/ROW]
[ROW][C]p-value[/C][C]0.0298203486483495[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63106&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63106&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-55.2726192585933
beta0.398357382218221
S.D.0.102010706685385
T-STAT3.90505462771482
p-value0.0298203486483495







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-9.61671976241742
beta2.38369212411927
S.D.0.635519844654447
T-STAT3.75077528132164
p-value0.0330986926425668
Lambda-1.38369212411927

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -9.61671976241742 \tabularnewline
beta & 2.38369212411927 \tabularnewline
S.D. & 0.635519844654447 \tabularnewline
T-STAT & 3.75077528132164 \tabularnewline
p-value & 0.0330986926425668 \tabularnewline
Lambda & -1.38369212411927 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63106&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-9.61671976241742[/C][/ROW]
[ROW][C]beta[/C][C]2.38369212411927[/C][/ROW]
[ROW][C]S.D.[/C][C]0.635519844654447[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.75077528132164[/C][/ROW]
[ROW][C]p-value[/C][C]0.0330986926425668[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.38369212411927[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63106&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63106&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-9.61671976241742
beta2.38369212411927
S.D.0.635519844654447
T-STAT3.75077528132164
p-value0.0330986926425668
Lambda-1.38369212411927



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')