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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 computationTue, 01 Dec 2009 13:06:37 -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/01/t1259698037712fvn638danc0i.htm/, Retrieved Fri, 29 Mar 2024 06:56:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62233, Retrieved Fri, 29 Mar 2024 06:56:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordslambda= 0,5
Estimated Impact163
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] [BBWS9-Regressieta...] [2009-12-01 20:06:37] [b32ceebc68d054278e6bda97f3d57f91] [Current]
-    D        [Standard Deviation-Mean Plot] [W9: Regressie Model] [2009-12-02 10:12:16] [03d5b865e91ca35b5a5d21b8d6da5aba]
-    D          [Standard Deviation-Mean Plot] [] [2009-12-07 08:23:02] [ade6aa003deff66733e677339d38f25a]
-    D        [Standard Deviation-Mean Plot] [shw-ws9] [2009-12-04 12:49:51] [2663058f2a5dda519058ac6b2228468f]
-    D          [Standard Deviation-Mean Plot] [ws 9 regressie model] [2009-12-04 18:48:55] [134dc66689e3d457a82860db6471d419]
- R PD            [Standard Deviation-Mean Plot] [ws9 lambda] [2009-12-04 20:23:06] [95cead3ebb75668735f848316249436a]
-   PD              [Standard Deviation-Mean Plot] [paper st dev-mean...] [2009-12-13 13:39:01] [95cead3ebb75668735f848316249436a]
-   PD                [Standard Deviation-Mean Plot] [st dev mean plot 2] [2009-12-13 17:54:01] [95cead3ebb75668735f848316249436a]
-    D            [Standard Deviation-Mean Plot] [sdmp icp] [2009-12-10 18:34:21] [134dc66689e3d457a82860db6471d419]
-    D        [Standard Deviation-Mean Plot] [Workshop9 R4 blog 1] [2009-12-12 10:47:22] [143cbdcaf7333bdd9926a1dde50d1082]
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Dataseries X:
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
100,7
115,5
100,7
109,9
114,6
85,4
100,5
114,8
116,5
112,9
102
106
105,3
118,8
106,1
109,3
117,2
92,5
104,2
112,5
122,4
113,3
100
110,7
112,8
109,8
117,3
109,1
115,9
96
99,8
116,8
115,7
99,4
94,3
91
93,2
103,1
94,1
91,8
102,7
82,6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62233&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]2 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=62233&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62233&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1101.4666666666679.2668846715145633.2
2104.3083333333338.8116099378586730.1
3108.4916666666677.9198781364974126.3
4110.3333333333337.363834640054126.4
598.70833333333339.9569489972246734.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.466666666667 & 9.26688467151456 & 33.2 \tabularnewline
2 & 104.308333333333 & 8.81160993785867 & 30.1 \tabularnewline
3 & 108.491666666667 & 7.91987813649741 & 26.3 \tabularnewline
4 & 110.333333333333 & 7.3638346400541 & 26.4 \tabularnewline
5 & 98.7083333333333 & 9.95694899722467 & 34.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62233&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]101.466666666667[/C][C]9.26688467151456[/C][C]33.2[/C][/ROW]
[ROW][C]2[/C][C]104.308333333333[/C][C]8.81160993785867[/C][C]30.1[/C][/ROW]
[ROW][C]3[/C][C]108.491666666667[/C][C]7.91987813649741[/C][C]26.3[/C][/ROW]
[ROW][C]4[/C][C]110.333333333333[/C][C]7.3638346400541[/C][C]26.4[/C][/ROW]
[ROW][C]5[/C][C]98.7083333333333[/C][C]9.95694899722467[/C][C]34.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62233&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62233&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
1101.4666666666679.2668846715145633.2
2104.3083333333338.8116099378586730.1
3108.4916666666677.9198781364974126.3
4110.3333333333337.363834640054126.4
598.70833333333339.9569489972246734.2







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha31.1528598621330
beta-0.214873595096929
S.D.0.00951939216480596
T-STAT-22.5721969824224
p-value0.000190409733265149

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 31.1528598621330 \tabularnewline
beta & -0.214873595096929 \tabularnewline
S.D. & 0.00951939216480596 \tabularnewline
T-STAT & -22.5721969824224 \tabularnewline
p-value & 0.000190409733265149 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62233&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]31.1528598621330[/C][/ROW]
[ROW][C]beta[/C][C]-0.214873595096929[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00951939216480596[/C][/ROW]
[ROW][C]T-STAT[/C][C]-22.5721969824224[/C][/ROW]
[ROW][C]p-value[/C][C]0.000190409733265149[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62233&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62233&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)
alpha31.1528598621330
beta-0.214873595096929
S.D.0.00951939216480596
T-STAT-22.5721969824224
p-value0.000190409733265149







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.2898454266676
beta-2.61006318399858
S.D.0.171913060779717
T-STAT-15.1824600886084
p-value0.000620444402823804
Lambda3.61006318399858

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.2898454266676 \tabularnewline
beta & -2.61006318399858 \tabularnewline
S.D. & 0.171913060779717 \tabularnewline
T-STAT & -15.1824600886084 \tabularnewline
p-value & 0.000620444402823804 \tabularnewline
Lambda & 3.61006318399858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62233&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.2898454266676[/C][/ROW]
[ROW][C]beta[/C][C]-2.61006318399858[/C][/ROW]
[ROW][C]S.D.[/C][C]0.171913060779717[/C][/ROW]
[ROW][C]T-STAT[/C][C]-15.1824600886084[/C][/ROW]
[ROW][C]p-value[/C][C]0.000620444402823804[/C][/ROW]
[ROW][C]Lambda[/C][C]3.61006318399858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62233&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62233&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)
alpha14.2898454266676
beta-2.61006318399858
S.D.0.171913060779717
T-STAT-15.1824600886084
p-value0.000620444402823804
Lambda3.61006318399858



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')