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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 25 Jan 2010 09:25:42 -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/2010/Jan/25/t1264436811vm8hdi0jybke1vx.htm/, Retrieved Thu, 31 Oct 2024 23:22:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72465, Retrieved Thu, 31 Oct 2024 23:22:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact184
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Autocorrelation F...] [2010-01-25 13:50:04] [830dacb160eeaee72e8ff2204da365bc]
-    D  [(Partial) Autocorrelation Function] [Autocorrelation F...] [2010-01-25 14:02:55] [830dacb160eeaee72e8ff2204da365bc]
- RMP       [Standard Deviation-Mean Plot] [spreidings- en ge...] [2010-01-25 16:25:42] [3588db8f96a346e7899895ad48978494] [Current]
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Dataseries X:
8,2
8,21
8,22
8,2
8,18
8,2
8,19
8,24
8,31
8,27
8,36
8,32
8,29
8,27
8,27
8,43
8,46
8,48
8,46
8,46
8,43
8,4
8,38
8,3
8,39
8,53
8,52
8,54
8,62
8,52
8,49
8,44
8,31
8,26
8,21
8,03
7,89
7,83
7,85
7,84
7,88
8,01
8,08
8,11
8,11
8,07
8,06
7,95
7,95
8,07
8,17
8,21
8,2
8,19
8,18
8,16
8,17
8,17
8,19
8,01
8,04
8,13
8,14
8,17
8,25
8,27
8,27
8,26
8,24
8,21
8,25
8,06
8,16
8,32
8,43
8,39
8,41




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=72465&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=72465&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72465&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
18.20750.00957427107756410.0200000000000014
28.20250.02629955639676610.0600000000000005
38.3150.03696845502136470.0899999999999999
48.3150.07724420150837660.16
58.4650.009999999999999790.0199999999999996
68.37750.05560275772537390.129999999999999
78.4950.07047458170621930.149999999999999
88.51750.07588368291888120.180000000000000
98.20250.1220314167199040.280000000000001
107.85250.02629955639676570.0599999999999996
118.020.1023067283548190.230000000000000
128.04750.06849574196011490.159999999999999
138.10.1160459679035280.260000000000001
148.18250.01707825127659900.0399999999999991
158.1350.08386497083606080.180000000000000
168.120.05597618541248940.130000000000001
178.26250.009574271077563180.0199999999999996
188.190.08831760866327830.190000000000000
198.3250.1190238071423810.270000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8.2075 & 0.0095742710775641 & 0.0200000000000014 \tabularnewline
2 & 8.2025 & 0.0262995563967661 & 0.0600000000000005 \tabularnewline
3 & 8.315 & 0.0369684550213647 & 0.0899999999999999 \tabularnewline
4 & 8.315 & 0.0772442015083766 & 0.16 \tabularnewline
5 & 8.465 & 0.00999999999999979 & 0.0199999999999996 \tabularnewline
6 & 8.3775 & 0.0556027577253739 & 0.129999999999999 \tabularnewline
7 & 8.495 & 0.0704745817062193 & 0.149999999999999 \tabularnewline
8 & 8.5175 & 0.0758836829188812 & 0.180000000000000 \tabularnewline
9 & 8.2025 & 0.122031416719904 & 0.280000000000001 \tabularnewline
10 & 7.8525 & 0.0262995563967657 & 0.0599999999999996 \tabularnewline
11 & 8.02 & 0.102306728354819 & 0.230000000000000 \tabularnewline
12 & 8.0475 & 0.0684957419601149 & 0.159999999999999 \tabularnewline
13 & 8.1 & 0.116045967903528 & 0.260000000000001 \tabularnewline
14 & 8.1825 & 0.0170782512765990 & 0.0399999999999991 \tabularnewline
15 & 8.135 & 0.0838649708360608 & 0.180000000000000 \tabularnewline
16 & 8.12 & 0.0559761854124894 & 0.130000000000001 \tabularnewline
17 & 8.2625 & 0.00957427107756318 & 0.0199999999999996 \tabularnewline
18 & 8.19 & 0.0883176086632783 & 0.190000000000000 \tabularnewline
19 & 8.325 & 0.119023807142381 & 0.270000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72465&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]8.2075[/C][C]0.0095742710775641[/C][C]0.0200000000000014[/C][/ROW]
[ROW][C]2[/C][C]8.2025[/C][C]0.0262995563967661[/C][C]0.0600000000000005[/C][/ROW]
[ROW][C]3[/C][C]8.315[/C][C]0.0369684550213647[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]4[/C][C]8.315[/C][C]0.0772442015083766[/C][C]0.16[/C][/ROW]
[ROW][C]5[/C][C]8.465[/C][C]0.00999999999999979[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]6[/C][C]8.3775[/C][C]0.0556027577253739[/C][C]0.129999999999999[/C][/ROW]
[ROW][C]7[/C][C]8.495[/C][C]0.0704745817062193[/C][C]0.149999999999999[/C][/ROW]
[ROW][C]8[/C][C]8.5175[/C][C]0.0758836829188812[/C][C]0.180000000000000[/C][/ROW]
[ROW][C]9[/C][C]8.2025[/C][C]0.122031416719904[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]10[/C][C]7.8525[/C][C]0.0262995563967657[/C][C]0.0599999999999996[/C][/ROW]
[ROW][C]11[/C][C]8.02[/C][C]0.102306728354819[/C][C]0.230000000000000[/C][/ROW]
[ROW][C]12[/C][C]8.0475[/C][C]0.0684957419601149[/C][C]0.159999999999999[/C][/ROW]
[ROW][C]13[/C][C]8.1[/C][C]0.116045967903528[/C][C]0.260000000000001[/C][/ROW]
[ROW][C]14[/C][C]8.1825[/C][C]0.0170782512765990[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]15[/C][C]8.135[/C][C]0.0838649708360608[/C][C]0.180000000000000[/C][/ROW]
[ROW][C]16[/C][C]8.12[/C][C]0.0559761854124894[/C][C]0.130000000000001[/C][/ROW]
[ROW][C]17[/C][C]8.2625[/C][C]0.00957427107756318[/C][C]0.0199999999999996[/C][/ROW]
[ROW][C]18[/C][C]8.19[/C][C]0.0883176086632783[/C][C]0.190000000000000[/C][/ROW]
[ROW][C]19[/C][C]8.325[/C][C]0.119023807142381[/C][C]0.270000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72465&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72465&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
18.20750.00957427107756410.0200000000000014
28.20250.02629955639676610.0600000000000005
38.3150.03696845502136470.0899999999999999
48.3150.07724420150837660.16
58.4650.009999999999999790.0199999999999996
68.37750.05560275772537390.129999999999999
78.4950.07047458170621930.149999999999999
88.51750.07588368291888120.180000000000000
98.20250.1220314167199040.280000000000001
107.85250.02629955639676570.0599999999999996
118.020.1023067283548190.230000000000000
128.04750.06849574196011490.159999999999999
138.10.1160459679035280.260000000000001
148.18250.01707825127659900.0399999999999991
158.1350.08386497083606080.180000000000000
168.120.05597618541248940.130000000000001
178.26250.009574271077563180.0199999999999996
188.190.08831760866327830.190000000000000
198.3250.1190238071423810.270000000000000







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.174072828452625
beta-0.0136652438136781
S.D.0.0548329653423773
T-STAT-0.249215845401617
p-value0.80617997071626

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.174072828452625 \tabularnewline
beta & -0.0136652438136781 \tabularnewline
S.D. & 0.0548329653423773 \tabularnewline
T-STAT & -0.249215845401617 \tabularnewline
p-value & 0.80617997071626 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72465&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.174072828452625[/C][/ROW]
[ROW][C]beta[/C][C]-0.0136652438136781[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0548329653423773[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.249215845401617[/C][/ROW]
[ROW][C]p-value[/C][C]0.80617997071626[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72465&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72465&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)
alpha0.174072828452625
beta-0.0136652438136781
S.D.0.0548329653423773
T-STAT-0.249215845401617
p-value0.80617997071626







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.30828457974671
beta-3.02750639407862
S.D.10.3230794416440
T-STAT-0.29327551058703
p-value0.772861529958183
Lambda4.02750639407862

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.30828457974671 \tabularnewline
beta & -3.02750639407862 \tabularnewline
S.D. & 10.3230794416440 \tabularnewline
T-STAT & -0.29327551058703 \tabularnewline
p-value & 0.772861529958183 \tabularnewline
Lambda & 4.02750639407862 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72465&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.30828457974671[/C][/ROW]
[ROW][C]beta[/C][C]-3.02750639407862[/C][/ROW]
[ROW][C]S.D.[/C][C]10.3230794416440[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.29327551058703[/C][/ROW]
[ROW][C]p-value[/C][C]0.772861529958183[/C][/ROW]
[ROW][C]Lambda[/C][C]4.02750639407862[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72465&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72465&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)
alpha3.30828457974671
beta-3.02750639407862
S.D.10.3230794416440
T-STAT-0.29327551058703
p-value0.772861529958183
Lambda4.02750639407862



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')