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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, 02 Dec 2013 04:39:59 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/02/t1385977278soyrv4cozxkymbd.htm/, Retrieved Fri, 26 Apr 2024 05:55:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=229935, Retrieved Fri, 26 Apr 2024 05:55:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [] [2013-11-28 09:36:18] [9fb2675916b8773bb0a74f31adc60d44]
-    D  [Bootstrap Plot - Central Tendency] [] [2013-11-28 09:49:21] [9fb2675916b8773bb0a74f31adc60d44]
- RMPD      [Standard Deviation-Mean Plot] [] [2013-12-02 09:39:59] [79b59004c90874912279e9b1431bd052] [Current]
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Dataseries X:
100.44
100.47
100.49
100.52
100.47
100.48
100.48
100.53
100.62
100.89
100.97
101.01
101.02
100.92
100.93
100.98
101.07
101.1
101.11
101.19
101.31
101.52
101.61
101.65
101.66
101.56
101.75
101.83
101.98
102.06
102.07
102.1
102.42
102.91
103.14
103.23
103.23
102.91
103.11
103.14
103.26
103.3
103.32
103.44
103.54
103.98
104.24
104.29
104.29
103.98
103.98
103.89
103.86
103.88
103.88
104.31
104.41
104.8
104.89
104.9
104.9
104.54
104.67
104.87
105.04
105.09
105.1
105.46
105.83
106.27
106.46
106.52
106.53
105.96
106
106.15
106.32
106.41
106.41
106.81
106.99
107.35
107.53
107.56




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229935&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229935&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229935&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 time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1100.6141666666670.2129215960409050.570000000000007
2101.2008333333330.2615151076231570.730000000000004
3102.2258333333330.5740202456571051.67
4103.480.4507771067833871.38000000000001
5104.2558333333330.4119015401620631.04000000000001
6105.3958333333330.70338736687461.97999999999999
7106.6683333333330.5734082051182821.60000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 100.614166666667 & 0.212921596040905 & 0.570000000000007 \tabularnewline
2 & 101.200833333333 & 0.261515107623157 & 0.730000000000004 \tabularnewline
3 & 102.225833333333 & 0.574020245657105 & 1.67 \tabularnewline
4 & 103.48 & 0.450777106783387 & 1.38000000000001 \tabularnewline
5 & 104.255833333333 & 0.411901540162063 & 1.04000000000001 \tabularnewline
6 & 105.395833333333 & 0.7033873668746 & 1.97999999999999 \tabularnewline
7 & 106.668333333333 & 0.573408205118282 & 1.60000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229935&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]100.614166666667[/C][C]0.212921596040905[/C][C]0.570000000000007[/C][/ROW]
[ROW][C]2[/C][C]101.200833333333[/C][C]0.261515107623157[/C][C]0.730000000000004[/C][/ROW]
[ROW][C]3[/C][C]102.225833333333[/C][C]0.574020245657105[/C][C]1.67[/C][/ROW]
[ROW][C]4[/C][C]103.48[/C][C]0.450777106783387[/C][C]1.38000000000001[/C][/ROW]
[ROW][C]5[/C][C]104.255833333333[/C][C]0.411901540162063[/C][C]1.04000000000001[/C][/ROW]
[ROW][C]6[/C][C]105.395833333333[/C][C]0.7033873668746[/C][C]1.97999999999999[/C][/ROW]
[ROW][C]7[/C][C]106.668333333333[/C][C]0.573408205118282[/C][C]1.60000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229935&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229935&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
1100.6141666666670.2129215960409050.570000000000007
2101.2008333333330.2615151076231570.730000000000004
3102.2258333333330.5740202456571051.67
4103.480.4507771067833871.38000000000001
5104.2558333333330.4119015401620631.04000000000001
6105.3958333333330.70338736687461.97999999999999
7106.6683333333330.5734082051182821.60000000000001







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-5.89975809195042
beta0.0614585911201644
S.D.0.0228683728515653
T-STAT2.68749296327647
p-value0.043428764469749

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -5.89975809195042 \tabularnewline
beta & 0.0614585911201644 \tabularnewline
S.D. & 0.0228683728515653 \tabularnewline
T-STAT & 2.68749296327647 \tabularnewline
p-value & 0.043428764469749 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229935&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.89975809195042[/C][/ROW]
[ROW][C]beta[/C][C]0.0614585911201644[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0228683728515653[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.68749296327647[/C][/ROW]
[ROW][C]p-value[/C][C]0.043428764469749[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229935&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229935&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-5.89975809195042
beta0.0614585911201644
S.D.0.0228683728515653
T-STAT2.68749296327647
p-value0.043428764469749







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-76.3700698546238
beta16.278645613499
S.D.5.57044104074606
T-STAT2.92232616671206
p-value0.0329246792860384
Lambda-15.278645613499

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -76.3700698546238 \tabularnewline
beta & 16.278645613499 \tabularnewline
S.D. & 5.57044104074606 \tabularnewline
T-STAT & 2.92232616671206 \tabularnewline
p-value & 0.0329246792860384 \tabularnewline
Lambda & -15.278645613499 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229935&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-76.3700698546238[/C][/ROW]
[ROW][C]beta[/C][C]16.278645613499[/C][/ROW]
[ROW][C]S.D.[/C][C]5.57044104074606[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.92232616671206[/C][/ROW]
[ROW][C]p-value[/C][C]0.0329246792860384[/C][/ROW]
[ROW][C]Lambda[/C][C]-15.278645613499[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229935&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229935&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-76.3700698546238
beta16.278645613499
S.D.5.57044104074606
T-STAT2.92232616671206
p-value0.0329246792860384
Lambda-15.278645613499



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')