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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 08:39:15 -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/t1259854833ht0pj9ubfqs1guq.htm/, Retrieved Thu, 28 Mar 2024 15:37:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62848, Retrieved Thu, 28 Mar 2024 15:37:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2009-12-03 15:39:15] [4c719cde102be108d35939b6cdb81c0f] [Current]
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Dataseries X:
95.6
74.3
88.5
88
84.3
112.8
105.3
97.2
112.4
123.2
143.7
205.1
102.8
89.4
90.7
101.1
93.6
119.3
106.4
105.2
106.5
117.6
144.2
195.5
109.5
84.9
102.9
93.9
104.6
115.2
104.9
114.9
115.1
126.4
156.7
197.3
116.1
89.1
107.8
100.4
113.6
128.3
113.3
113.7
116.1
133.6
167.7
214.6
120.3
106
103.9
118
116.3
134.8
117.8
123.3
125.2
135.8
158.9
217.9




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62848&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]3 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=62848&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62848&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1110.86666666666735.2046570610747130.8
2114.35833333333329.6054496928378106.1
3118.85833333333330.4535550494768112.4
4126.19166666666733.9277697558513125.5
5131.51666666666730.8816754530560114

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 110.866666666667 & 35.2046570610747 & 130.8 \tabularnewline
2 & 114.358333333333 & 29.6054496928378 & 106.1 \tabularnewline
3 & 118.858333333333 & 30.4535550494768 & 112.4 \tabularnewline
4 & 126.191666666667 & 33.9277697558513 & 125.5 \tabularnewline
5 & 131.516666666667 & 30.8816754530560 & 114 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62848&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]110.866666666667[/C][C]35.2046570610747[/C][C]130.8[/C][/ROW]
[ROW][C]2[/C][C]114.358333333333[/C][C]29.6054496928378[/C][C]106.1[/C][/ROW]
[ROW][C]3[/C][C]118.858333333333[/C][C]30.4535550494768[/C][C]112.4[/C][/ROW]
[ROW][C]4[/C][C]126.191666666667[/C][C]33.9277697558513[/C][C]125.5[/C][/ROW]
[ROW][C]5[/C][C]131.516666666667[/C][C]30.8816754530560[/C][C]114[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62848&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62848&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
1110.86666666666735.2046570610747130.8
2114.35833333333329.6054496928378106.1
3118.85833333333330.4535550494768112.4
4126.19166666666733.9277697558513125.5
5131.51666666666730.8816754530560114







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha38.2926503917861
beta-0.0521611492570249
S.D.0.161978702657861
T-STAT-0.32202473782743
p-value0.768568763875826

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 38.2926503917861 \tabularnewline
beta & -0.0521611492570249 \tabularnewline
S.D. & 0.161978702657861 \tabularnewline
T-STAT & -0.32202473782743 \tabularnewline
p-value & 0.768568763875826 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62848&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]38.2926503917861[/C][/ROW]
[ROW][C]beta[/C][C]-0.0521611492570249[/C][/ROW]
[ROW][C]S.D.[/C][C]0.161978702657861[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.32202473782743[/C][/ROW]
[ROW][C]p-value[/C][C]0.768568763875826[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62848&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62848&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)
alpha38.2926503917861
beta-0.0521611492570249
S.D.0.161978702657861
T-STAT-0.32202473782743
p-value0.768568763875826







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.35428768828381
beta-0.185932794454991
S.D.0.606154334020655
T-STAT-0.306741672903151
p-value0.779098091463383
Lambda1.18593279445499

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.35428768828381 \tabularnewline
beta & -0.185932794454991 \tabularnewline
S.D. & 0.606154334020655 \tabularnewline
T-STAT & -0.306741672903151 \tabularnewline
p-value & 0.779098091463383 \tabularnewline
Lambda & 1.18593279445499 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62848&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.35428768828381[/C][/ROW]
[ROW][C]beta[/C][C]-0.185932794454991[/C][/ROW]
[ROW][C]S.D.[/C][C]0.606154334020655[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.306741672903151[/C][/ROW]
[ROW][C]p-value[/C][C]0.779098091463383[/C][/ROW]
[ROW][C]Lambda[/C][C]1.18593279445499[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62848&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62848&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)
alpha4.35428768828381
beta-0.185932794454991
S.D.0.606154334020655
T-STAT-0.306741672903151
p-value0.779098091463383
Lambda1.18593279445499



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')