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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 03 Dec 2009 08:08:44 -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/t1259854119k7mxo4s1hziupmc.htm/, Retrieved Thu, 28 Mar 2024 17:24:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62838, Retrieved Thu, 28 Mar 2024 17:24:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
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]
-    D      [Standard Deviation-Mean Plot] [SHW WS9] [2009-12-03 15:08:44] [b7e46d23597387652ca7420fdeb9acca] [Current]
-    D        [Standard Deviation-Mean Plot] [Box-Jenkins ARIMA...] [2009-12-04 14:36:01] [ba905ddf7cdf9ecb063c35348c4dab2e]
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Dataseries X:
1.59
1.26
1.13
1.92
2.61
2.26
2.41
2.26
2.03
2.86
2.55
2.27
2.26
2.57
3.07
2.76
2.51
2.87
3.14
3.11
3.16
2.47
2.57
2.89
2.63
2.38
1.69
1.96
2.19
1.87
1.6
1.63
1.22
1.21
1.49
1.64
1.66
1.77
1.82
1.78
1.28
1.29
1.37
1.12
1.51
2.24
2.94
3.09
3.46
3.64
4.39
4.15
5.21
5.8
5.91
5.39
5.46
4.72
3.14
2.63




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=62838&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=62838&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62838&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
12.095833333333330.5359860638170181.73
22.781666666666670.3037892012364480.9
31.79250.4363510888347511.42
41.82250.6349248344918831.97
54.491666666666671.097342519936513.28

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.09583333333333 & 0.535986063817018 & 1.73 \tabularnewline
2 & 2.78166666666667 & 0.303789201236448 & 0.9 \tabularnewline
3 & 1.7925 & 0.436351088834751 & 1.42 \tabularnewline
4 & 1.8225 & 0.634924834491883 & 1.97 \tabularnewline
5 & 4.49166666666667 & 1.09734251993651 & 3.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62838&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]2.09583333333333[/C][C]0.535986063817018[/C][C]1.73[/C][/ROW]
[ROW][C]2[/C][C]2.78166666666667[/C][C]0.303789201236448[/C][C]0.9[/C][/ROW]
[ROW][C]3[/C][C]1.7925[/C][C]0.436351088834751[/C][C]1.42[/C][/ROW]
[ROW][C]4[/C][C]1.8225[/C][C]0.634924834491883[/C][C]1.97[/C][/ROW]
[ROW][C]5[/C][C]4.49166666666667[/C][C]1.09734251993651[/C][C]3.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62838&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62838&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
12.095833333333330.5359860638170181.73
22.781666666666670.3037892012364480.9
31.79250.4363510888347511.42
41.82250.6349248344918831.97
54.491666666666671.097342519936513.28







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0823795247018968
beta0.199974026170884
S.D.0.102785849225243
T-STAT1.94554043847675
p-value0.146913008671507

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0823795247018968 \tabularnewline
beta & 0.199974026170884 \tabularnewline
S.D. & 0.102785849225243 \tabularnewline
T-STAT & 1.94554043847675 \tabularnewline
p-value & 0.146913008671507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62838&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0823795247018968[/C][/ROW]
[ROW][C]beta[/C][C]0.199974026170884[/C][/ROW]
[ROW][C]S.D.[/C][C]0.102785849225243[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.94554043847675[/C][/ROW]
[ROW][C]p-value[/C][C]0.146913008671507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62838&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62838&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)
alpha0.0823795247018968
beta0.199974026170884
S.D.0.102785849225243
T-STAT1.94554043847675
p-value0.146913008671507







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.16707511004350
beta0.636010935325212
S.D.0.61119077714727
T-STAT1.04060951032964
p-value0.374548901271868
Lambda0.363989064674788

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.16707511004350 \tabularnewline
beta & 0.636010935325212 \tabularnewline
S.D. & 0.61119077714727 \tabularnewline
T-STAT & 1.04060951032964 \tabularnewline
p-value & 0.374548901271868 \tabularnewline
Lambda & 0.363989064674788 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62838&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.16707511004350[/C][/ROW]
[ROW][C]beta[/C][C]0.636010935325212[/C][/ROW]
[ROW][C]S.D.[/C][C]0.61119077714727[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.04060951032964[/C][/ROW]
[ROW][C]p-value[/C][C]0.374548901271868[/C][/ROW]
[ROW][C]Lambda[/C][C]0.363989064674788[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62838&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62838&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-1.16707511004350
beta0.636010935325212
S.D.0.61119077714727
T-STAT1.04060951032964
p-value0.374548901271868
Lambda0.363989064674788



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')