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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, 16 Dec 2008 05:04:05 -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/2008/Dec/16/t1229429099cukvdaakmsprx1z.htm/, Retrieved Wed, 15 May 2024 09:54:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33930, Retrieved Wed, 15 May 2024 09:54:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact174
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2008-12-16 12:04:05] [a5ed2c45dea395ef181ba16fe56905d7] [Current]
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Dataseries X:
111.7
98.6
96.9
95.1
97.0
112.7
102.9
97.4
111.4
87.4
96.8
114.1
110.3
103.9
101.6
94.6
95.9
104.7
102.8
98.1
113.9
80.9
95.7
113.2
105.9
108.8
102.3
99.0
100.7
115.5
100.7
109.9
114.6
85.4
100.5
114.8
116.5
112.9
102.0
106.0
105.3
118.8
106.1
109.3
117.2
92.5
104.2
112.5
122.4
113.3
100.0
110.7
112.8
109.8
117.3
109.1
115.9
96.0
99.8
117.0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33930&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]0 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=33930&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33930&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1101.8333333333338.6095436826955326.7
2101.39.213823606654633
3104.8416666666678.6449626250134130.1
4108.6083333333337.5113802548754926.3
5110.3416666666678.031580658798626.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.833333333333 & 8.60954368269553 & 26.7 \tabularnewline
2 & 101.3 & 9.2138236066546 & 33 \tabularnewline
3 & 104.841666666667 & 8.64496262501341 & 30.1 \tabularnewline
4 & 108.608333333333 & 7.51138025487549 & 26.3 \tabularnewline
5 & 110.341666666667 & 8.0315806587986 & 26.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33930&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]101.833333333333[/C][C]8.60954368269553[/C][C]26.7[/C][/ROW]
[ROW][C]2[/C][C]101.3[/C][C]9.2138236066546[/C][C]33[/C][/ROW]
[ROW][C]3[/C][C]104.841666666667[/C][C]8.64496262501341[/C][C]30.1[/C][/ROW]
[ROW][C]4[/C][C]108.608333333333[/C][C]7.51138025487549[/C][C]26.3[/C][/ROW]
[ROW][C]5[/C][C]110.341666666667[/C][C]8.0315806587986[/C][C]26.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33930&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33930&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
1101.8333333333338.6095436826955326.7
2101.39.213823606654633
3104.8416666666678.6449626250134130.1
4108.6083333333337.5113802548754926.3
5110.3416666666678.031580658798626.4







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha22.9186608690481
beta-0.137746384242925
S.D.0.0490900611351848
T-STAT-2.80599333261365
p-value0.0675164987067421

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 22.9186608690481 \tabularnewline
beta & -0.137746384242925 \tabularnewline
S.D. & 0.0490900611351848 \tabularnewline
T-STAT & -2.80599333261365 \tabularnewline
p-value & 0.0675164987067421 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33930&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]22.9186608690481[/C][/ROW]
[ROW][C]beta[/C][C]-0.137746384242925[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0490900611351848[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.80599333261365[/C][/ROW]
[ROW][C]p-value[/C][C]0.0675164987067421[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33930&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33930&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)
alpha22.9186608690481
beta-0.137746384242925
S.D.0.0490900611351848
T-STAT-2.80599333261365
p-value0.0675164987067421







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.2472803197039
beta-1.74385615659191
S.D.0.630048883399
T-STAT-2.76781088347324
p-value0.0696957796747615
Lambda2.74385615659191

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.2472803197039 \tabularnewline
beta & -1.74385615659191 \tabularnewline
S.D. & 0.630048883399 \tabularnewline
T-STAT & -2.76781088347324 \tabularnewline
p-value & 0.0696957796747615 \tabularnewline
Lambda & 2.74385615659191 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33930&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.2472803197039[/C][/ROW]
[ROW][C]beta[/C][C]-1.74385615659191[/C][/ROW]
[ROW][C]S.D.[/C][C]0.630048883399[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.76781088347324[/C][/ROW]
[ROW][C]p-value[/C][C]0.0696957796747615[/C][/ROW]
[ROW][C]Lambda[/C][C]2.74385615659191[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33930&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33930&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)
alpha10.2472803197039
beta-1.74385615659191
S.D.0.630048883399
T-STAT-2.76781088347324
p-value0.0696957796747615
Lambda2.74385615659191



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')