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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 computationTue, 24 Nov 2009 13:40:11 -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/Nov/24/t1259095258x1xi5rddd74fvte.htm/, Retrieved Sat, 18 May 2024 00:14:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59271, Retrieved Sat, 18 May 2024 00:14:10 +0000
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Original text written by user:WS 8 Identifying Integration Processes
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-   PD          [Standard Deviation-Mean Plot] [WS 8 Identifying ...] [2009-11-24 20:40:11] [9b6f46453e60f88d91cef176fe926003] [Current]
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Dataseries X:
14,5
14,3
15,3
14,4
13,7
14,2
13,5
11,9
14,6
15,6
14,1
14,9
14,2
14,6
17,2
15,4
14,3
17,5
14,5
14,4
16,6
16,7
16,6
16,9
15,7
16,4
18,4
16,9
16,5
18,3
15,1
15,7
18,1
16,8
18,9
19
18,1
17,8
21,5
17,1
18,7
19
16,4
16,9
18,6
19,3
19,4
17,6
18,6
18,1
20,4
18,1
19,6
19,9
19,2
17,8
19,2
22
21,1
19,5
22,2
20,9
22,2
23,5
21,5
24,3
22,8
20,3
23,7
23,3
19,6
18
17,3
16,8
18,2
16,5
16
18,4




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=59271&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=59271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59271&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
114.250.952031321104323.7
215.74166666666671.285201316620253.3
317.151.34333370930143.9
418.36666666666671.379283960040225.1
519.45833333333331.263802583355874.2
621.85833333333331.875903822565316.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14.25 & 0.95203132110432 & 3.7 \tabularnewline
2 & 15.7416666666667 & 1.28520131662025 & 3.3 \tabularnewline
3 & 17.15 & 1.3433337093014 & 3.9 \tabularnewline
4 & 18.3666666666667 & 1.37928396004022 & 5.1 \tabularnewline
5 & 19.4583333333333 & 1.26380258335587 & 4.2 \tabularnewline
6 & 21.8583333333333 & 1.87590382256531 & 6.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59271&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]14.25[/C][C]0.95203132110432[/C][C]3.7[/C][/ROW]
[ROW][C]2[/C][C]15.7416666666667[/C][C]1.28520131662025[/C][C]3.3[/C][/ROW]
[ROW][C]3[/C][C]17.15[/C][C]1.3433337093014[/C][C]3.9[/C][/ROW]
[ROW][C]4[/C][C]18.3666666666667[/C][C]1.37928396004022[/C][C]5.1[/C][/ROW]
[ROW][C]5[/C][C]19.4583333333333[/C][C]1.26380258335587[/C][C]4.2[/C][/ROW]
[ROW][C]6[/C][C]21.8583333333333[/C][C]1.87590382256531[/C][C]6.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59271&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
114.250.952031321104323.7
215.74166666666671.285201316620253.3
317.151.34333370930143.9
418.36666666666671.379283960040225.1
519.45833333333331.263802583355874.2
621.85833333333331.875903822565316.3







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.371545979201276
beta0.096689282360824
S.D.0.0265053832238582
T-STAT3.64791112598559
p-value0.0218116547545522

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.371545979201276 \tabularnewline
beta & 0.096689282360824 \tabularnewline
S.D. & 0.0265053832238582 \tabularnewline
T-STAT & 3.64791112598559 \tabularnewline
p-value & 0.0218116547545522 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59271&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.371545979201276[/C][/ROW]
[ROW][C]beta[/C][C]0.096689282360824[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0265053832238582[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.64791112598559[/C][/ROW]
[ROW][C]p-value[/C][C]0.0218116547545522[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59271&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59271&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-0.371545979201276
beta0.096689282360824
S.D.0.0265053832238582
T-STAT3.64791112598559
p-value0.0218116547545522







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.29453306894379
beta1.24569150609063
S.D.0.341293316175441
T-STAT3.64991474210495
p-value0.0217731071983522
Lambda-0.245691506090627

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.29453306894379 \tabularnewline
beta & 1.24569150609063 \tabularnewline
S.D. & 0.341293316175441 \tabularnewline
T-STAT & 3.64991474210495 \tabularnewline
p-value & 0.0217731071983522 \tabularnewline
Lambda & -0.245691506090627 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59271&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.29453306894379[/C][/ROW]
[ROW][C]beta[/C][C]1.24569150609063[/C][/ROW]
[ROW][C]S.D.[/C][C]0.341293316175441[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.64991474210495[/C][/ROW]
[ROW][C]p-value[/C][C]0.0217731071983522[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.245691506090627[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59271&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59271&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-3.29453306894379
beta1.24569150609063
S.D.0.341293316175441
T-STAT3.64991474210495
p-value0.0217731071983522
Lambda-0.245691506090627



Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
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')