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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 11:56:38 -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/t1259693846ip7dog8pnrbw0r1.htm/, Retrieved Thu, 28 Mar 2024 19:21:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62182, Retrieved Thu, 28 Mar 2024 19:21:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
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] [1st] [2009-12-01 18:56:38] [e1f26cfd746b288ac2a466939c6f316e] [Current]
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Dataseries X:
105.7
105.7
111.1
82.4
60
107.3
99.3
113.5
108.9
100.2
103.9
138.7
120.2
100.2
143.2
70.9
85.2
133
136.6
117.9
106.3
122.3
125.5
148.4
126.3
99.6
140.4
80.3
92.6
138.5
110.9
119.6
105
109
129.4
148.6
101.4
134.8
143.7
81.6
90.3
141.5
140.7
140.2
100.2
125.7
119.6
134.7
109
116.3
146.9
97.4
89.4
132.1
139.8
129
112.5
121.9
121.7
123.1




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=62182&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=62182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62182&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
1103.05833333333318.620343631890878.7
2117.47523.266094136395977.5
3116.68333333333320.767975054848068.3
4121.222.167994947671762.1
5119.92516.506644667582257.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 103.058333333333 & 18.6203436318908 & 78.7 \tabularnewline
2 & 117.475 & 23.2660941363959 & 77.5 \tabularnewline
3 & 116.683333333333 & 20.7679750548480 & 68.3 \tabularnewline
4 & 121.2 & 22.1679949476717 & 62.1 \tabularnewline
5 & 119.925 & 16.5066446675822 & 57.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62182&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]103.058333333333[/C][C]18.6203436318908[/C][C]78.7[/C][/ROW]
[ROW][C]2[/C][C]117.475[/C][C]23.2660941363959[/C][C]77.5[/C][/ROW]
[ROW][C]3[/C][C]116.683333333333[/C][C]20.7679750548480[/C][C]68.3[/C][/ROW]
[ROW][C]4[/C][C]121.2[/C][C]22.1679949476717[/C][C]62.1[/C][/ROW]
[ROW][C]5[/C][C]119.925[/C][C]16.5066446675822[/C][C]57.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62182&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
1103.05833333333318.620343631890878.7
2117.47523.266094136395977.5
3116.68333333333320.767975054848068.3
4121.222.167994947671762.1
5119.92516.506644667582257.5







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha8.70018312260239
beta0.09998957391169
S.D.0.208272379449867
T-STAT0.480090418978281
p-value0.663994404392612

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 8.70018312260239 \tabularnewline
beta & 0.09998957391169 \tabularnewline
S.D. & 0.208272379449867 \tabularnewline
T-STAT & 0.480090418978281 \tabularnewline
p-value & 0.663994404392612 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62182&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.70018312260239[/C][/ROW]
[ROW][C]beta[/C][C]0.09998957391169[/C][/ROW]
[ROW][C]S.D.[/C][C]0.208272379449867[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.480090418978281[/C][/ROW]
[ROW][C]p-value[/C][C]0.663994404392612[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62182&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62182&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)
alpha8.70018312260239
beta0.09998957391169
S.D.0.208272379449867
T-STAT0.480090418978281
p-value0.663994404392612







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.548046109674879
beta0.516601163526922
S.D.1.18518758190497
T-STAT0.435881350272487
p-value0.692382343737788
Lambda0.483398836473078

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.548046109674879 \tabularnewline
beta & 0.516601163526922 \tabularnewline
S.D. & 1.18518758190497 \tabularnewline
T-STAT & 0.435881350272487 \tabularnewline
p-value & 0.692382343737788 \tabularnewline
Lambda & 0.483398836473078 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62182&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.548046109674879[/C][/ROW]
[ROW][C]beta[/C][C]0.516601163526922[/C][/ROW]
[ROW][C]S.D.[/C][C]1.18518758190497[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.435881350272487[/C][/ROW]
[ROW][C]p-value[/C][C]0.692382343737788[/C][/ROW]
[ROW][C]Lambda[/C][C]0.483398836473078[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62182&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62182&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)
alpha0.548046109674879
beta0.516601163526922
S.D.1.18518758190497
T-STAT0.435881350272487
p-value0.692382343737788
Lambda0.483398836473078



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')