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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 26 Apr 2016 15:54:03 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/26/t14616825400yddjvv8w9u0ptk.htm/, Retrieved Fri, 03 May 2024 21:27:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294892, Retrieved Fri, 03 May 2024 21:27:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Moerman Nicolaï] [2016-04-26 14:54:03] [ab100cc47aff291ae023e643a55282f8] [Current]
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Dataseries X:
96,4
96,9
98,1
99,2
100
100,3
100,3
100,8
101,3
101,4
101,9
103,4
105,6
107,5
109
110,5
109,8
109,6
109,6
108,8
109,4
109,1
109
109,2
110,5
112,2
113,2
113,6
113,2
112,2
112,2
113,2
113,8
113,8
113,7
113,9
114
114,3
114,3
112,8
112,3
112,2
112,6
111,9
111,7
111
110,8
111,1
110,5
110,5
109,8
109
109
109,4
108,8
108,4
108,3
108,2
106,8
103,6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294892&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294892&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294892&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'George Udny Yule' @ yule.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11002.055148744893277
2108.9251.265000898310864.90000000000001
3112.9583333333331.009462803433173.40000000000001
4112.4166666666671.242309676905613.5
5108.5251.861634179472926.90000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100 & 2.05514874489327 & 7 \tabularnewline
2 & 108.925 & 1.26500089831086 & 4.90000000000001 \tabularnewline
3 & 112.958333333333 & 1.00946280343317 & 3.40000000000001 \tabularnewline
4 & 112.416666666667 & 1.24230967690561 & 3.5 \tabularnewline
5 & 108.525 & 1.86163417947292 & 6.90000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294892&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]100[/C][C]2.05514874489327[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]108.925[/C][C]1.26500089831086[/C][C]4.90000000000001[/C][/ROW]
[ROW][C]3[/C][C]112.958333333333[/C][C]1.00946280343317[/C][C]3.40000000000001[/C][/ROW]
[ROW][C]4[/C][C]112.416666666667[/C][C]1.24230967690561[/C][C]3.5[/C][/ROW]
[ROW][C]5[/C][C]108.525[/C][C]1.86163417947292[/C][C]6.90000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294892&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294892&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
11002.055148744893277
2108.9251.265000898310864.90000000000001
3112.9583333333331.009462803433173.40000000000001
4112.4166666666671.242309676905613.5
5108.5251.861634179472926.90000000000001







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha9.55798127739517
beta-0.0743450469008613
S.D.0.0252260568022575
T-STAT-2.94715291746303
p-value0.0601623937968406

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.55798127739517 \tabularnewline
beta & -0.0743450469008613 \tabularnewline
S.D. & 0.0252260568022575 \tabularnewline
T-STAT & -2.94715291746303 \tabularnewline
p-value & 0.0601623937968406 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294892&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.55798127739517[/C][/ROW]
[ROW][C]beta[/C][C]-0.0743450469008613[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0252260568022575[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.94715291746303[/C][/ROW]
[ROW][C]p-value[/C][C]0.0601623937968406[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294892&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294892&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)
alpha9.55798127739517
beta-0.0743450469008613
S.D.0.0252260568022575
T-STAT-2.94715291746303
p-value0.0601623937968406







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha24.4149380908565
beta-5.13277615484923
S.D.1.91995687767767
T-STAT-2.67338095689821
p-value0.0754727575112035
Lambda6.13277615484923

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.4149380908565 \tabularnewline
beta & -5.13277615484923 \tabularnewline
S.D. & 1.91995687767767 \tabularnewline
T-STAT & -2.67338095689821 \tabularnewline
p-value & 0.0754727575112035 \tabularnewline
Lambda & 6.13277615484923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294892&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.4149380908565[/C][/ROW]
[ROW][C]beta[/C][C]-5.13277615484923[/C][/ROW]
[ROW][C]S.D.[/C][C]1.91995687767767[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.67338095689821[/C][/ROW]
[ROW][C]p-value[/C][C]0.0754727575112035[/C][/ROW]
[ROW][C]Lambda[/C][C]6.13277615484923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294892&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294892&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)
alpha24.4149380908565
beta-5.13277615484923
S.D.1.91995687767767
T-STAT-2.67338095689821
p-value0.0754727575112035
Lambda6.13277615484923



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- '12'
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')