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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 08:18:47 -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/t1259853860ffob10cma2y3zqn.htm/, Retrieved Thu, 28 Mar 2024 19:47:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62835, Retrieved Thu, 28 Mar 2024 19:47:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130
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 PD      [Standard Deviation-Mean Plot] [] [2009-12-03 15:18:47] [c588bf81b9040ce04d6292d0d83341a9] [Current]
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Dataseries X:
22
22
20
21
20
21
21
21
19
21
21
22
19
24
22
22
22
24
22
23
24
21
20
22
23
23
22
20
21
21
20
20
17
18
19
19
20
21
20
21
19
22
20
18
16
17
18
19
18
20
21
18
19
19
19
21
19
19
17
16
16
17
16
15
16
16
16
18
19
16
16
16




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=62835&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=62835&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62835&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
121.250.9574271077563382
220.750.51
320.751.258305739211793
421.752.061552812808835
522.750.9574271077563382
621.751.707825127659934
7221.414213562373103
820.50.5773502691896261
918.250.9574271077563382
1020.50.5773502691896261
1119.751.707825127659934
1217.51.290994448735813
1319.251.53
1419.512
1517.751.53
16160.8164965809277262
1716.512
1816.751.53

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 21.25 & 0.957427107756338 & 2 \tabularnewline
2 & 20.75 & 0.5 & 1 \tabularnewline
3 & 20.75 & 1.25830573921179 & 3 \tabularnewline
4 & 21.75 & 2.06155281280883 & 5 \tabularnewline
5 & 22.75 & 0.957427107756338 & 2 \tabularnewline
6 & 21.75 & 1.70782512765993 & 4 \tabularnewline
7 & 22 & 1.41421356237310 & 3 \tabularnewline
8 & 20.5 & 0.577350269189626 & 1 \tabularnewline
9 & 18.25 & 0.957427107756338 & 2 \tabularnewline
10 & 20.5 & 0.577350269189626 & 1 \tabularnewline
11 & 19.75 & 1.70782512765993 & 4 \tabularnewline
12 & 17.5 & 1.29099444873581 & 3 \tabularnewline
13 & 19.25 & 1.5 & 3 \tabularnewline
14 & 19.5 & 1 & 2 \tabularnewline
15 & 17.75 & 1.5 & 3 \tabularnewline
16 & 16 & 0.816496580927726 & 2 \tabularnewline
17 & 16.5 & 1 & 2 \tabularnewline
18 & 16.75 & 1.5 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62835&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]21.25[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]2[/C][C]20.75[/C][C]0.5[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]20.75[/C][C]1.25830573921179[/C][C]3[/C][/ROW]
[ROW][C]4[/C][C]21.75[/C][C]2.06155281280883[/C][C]5[/C][/ROW]
[ROW][C]5[/C][C]22.75[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]6[/C][C]21.75[/C][C]1.70782512765993[/C][C]4[/C][/ROW]
[ROW][C]7[/C][C]22[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]8[/C][C]20.5[/C][C]0.577350269189626[/C][C]1[/C][/ROW]
[ROW][C]9[/C][C]18.25[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]10[/C][C]20.5[/C][C]0.577350269189626[/C][C]1[/C][/ROW]
[ROW][C]11[/C][C]19.75[/C][C]1.70782512765993[/C][C]4[/C][/ROW]
[ROW][C]12[/C][C]17.5[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]13[/C][C]19.25[/C][C]1.5[/C][C]3[/C][/ROW]
[ROW][C]14[/C][C]19.5[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]15[/C][C]17.75[/C][C]1.5[/C][C]3[/C][/ROW]
[ROW][C]16[/C][C]16[/C][C]0.816496580927726[/C][C]2[/C][/ROW]
[ROW][C]17[/C][C]16.5[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]18[/C][C]16.75[/C][C]1.5[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62835&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62835&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
121.250.9574271077563382
220.750.51
320.751.258305739211793
421.752.061552812808835
522.750.9574271077563382
621.751.707825127659934
7221.414213562373103
820.50.5773502691896261
918.250.9574271077563382
1020.50.5773502691896261
1119.751.707825127659934
1217.51.290994448735813
1319.251.53
1419.512
1517.751.53
16160.8164965809277262
1716.512
1816.751.53







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.867703540221127
beta0.0160383058373534
S.D.0.0528058836971564
T-STAT0.30372194752641
p-value0.765253769823581

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.867703540221127 \tabularnewline
beta & 0.0160383058373534 \tabularnewline
S.D. & 0.0528058836971564 \tabularnewline
T-STAT & 0.30372194752641 \tabularnewline
p-value & 0.765253769823581 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62835&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.867703540221127[/C][/ROW]
[ROW][C]beta[/C][C]0.0160383058373534[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0528058836971564[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.30372194752641[/C][/ROW]
[ROW][C]p-value[/C][C]0.765253769823581[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62835&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62835&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)
alpha0.867703540221127
beta0.0160383058373534
S.D.0.0528058836971564
T-STAT0.30372194752641
p-value0.765253769823581







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.0872019298178343
beta0.00275598969111777
S.D.0.939989941783708
T-STAT0.00293193529910337
p-value0.997696902474433
Lambda0.997244010308882

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0872019298178343 \tabularnewline
beta & 0.00275598969111777 \tabularnewline
S.D. & 0.939989941783708 \tabularnewline
T-STAT & 0.00293193529910337 \tabularnewline
p-value & 0.997696902474433 \tabularnewline
Lambda & 0.997244010308882 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62835&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0872019298178343[/C][/ROW]
[ROW][C]beta[/C][C]0.00275598969111777[/C][/ROW]
[ROW][C]S.D.[/C][C]0.939989941783708[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.00293193529910337[/C][/ROW]
[ROW][C]p-value[/C][C]0.997696902474433[/C][/ROW]
[ROW][C]Lambda[/C][C]0.997244010308882[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62835&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62835&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)
alpha0.0872019298178343
beta0.00275598969111777
S.D.0.939989941783708
T-STAT0.00293193529910337
p-value0.997696902474433
Lambda0.997244010308882



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')