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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 computationThu, 03 Dec 2009 08:19:24 -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/03/t1259853650cgngexzyjnk43hx.htm/, Retrieved Fri, 29 Mar 2024 14:17:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62834, Retrieved Fri, 29 Mar 2024 14:17:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
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]
- R PD      [Standard Deviation-Mean Plot] [] [2009-12-03 15:19:24] [faa1ded5041cd5a0e2be04844f08502a] [Current]
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Dataseries X:
24
22
25
24
29
26
26
21
23
22
21
16
19
16
25
27
23
22
23
20
24
23
20
21
22
17
21
19
23
22
15
23
21
18
18
18
18
10
13
10
9
9
6
11
9
10
9
16
10
7
7
14
11
10
6
8
13
12
15
16
16




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=62834&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=62834&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62834&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
123.751.258305739211793
225.53.31662479035548
320.53.109126351029607
421.755.123475382979811
5221.414213562373103
6221.825741858350554
719.752.217355782608355
820.753.862210075418828
918.751.53
1012.753.774917217635378
118.752.061552812808835
12113.366501646120697
139.53.31662479035547
148.752.217355782608355
15141.825741858350554

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 23.75 & 1.25830573921179 & 3 \tabularnewline
2 & 25.5 & 3.3166247903554 & 8 \tabularnewline
3 & 20.5 & 3.10912635102960 & 7 \tabularnewline
4 & 21.75 & 5.1234753829798 & 11 \tabularnewline
5 & 22 & 1.41421356237310 & 3 \tabularnewline
6 & 22 & 1.82574185835055 & 4 \tabularnewline
7 & 19.75 & 2.21735578260835 & 5 \tabularnewline
8 & 20.75 & 3.86221007541882 & 8 \tabularnewline
9 & 18.75 & 1.5 & 3 \tabularnewline
10 & 12.75 & 3.77491721763537 & 8 \tabularnewline
11 & 8.75 & 2.06155281280883 & 5 \tabularnewline
12 & 11 & 3.36650164612069 & 7 \tabularnewline
13 & 9.5 & 3.3166247903554 & 7 \tabularnewline
14 & 8.75 & 2.21735578260835 & 5 \tabularnewline
15 & 14 & 1.82574185835055 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62834&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]23.75[/C][C]1.25830573921179[/C][C]3[/C][/ROW]
[ROW][C]2[/C][C]25.5[/C][C]3.3166247903554[/C][C]8[/C][/ROW]
[ROW][C]3[/C][C]20.5[/C][C]3.10912635102960[/C][C]7[/C][/ROW]
[ROW][C]4[/C][C]21.75[/C][C]5.1234753829798[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]22[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]22[/C][C]1.82574185835055[/C][C]4[/C][/ROW]
[ROW][C]7[/C][C]19.75[/C][C]2.21735578260835[/C][C]5[/C][/ROW]
[ROW][C]8[/C][C]20.75[/C][C]3.86221007541882[/C][C]8[/C][/ROW]
[ROW][C]9[/C][C]18.75[/C][C]1.5[/C][C]3[/C][/ROW]
[ROW][C]10[/C][C]12.75[/C][C]3.77491721763537[/C][C]8[/C][/ROW]
[ROW][C]11[/C][C]8.75[/C][C]2.06155281280883[/C][C]5[/C][/ROW]
[ROW][C]12[/C][C]11[/C][C]3.36650164612069[/C][C]7[/C][/ROW]
[ROW][C]13[/C][C]9.5[/C][C]3.3166247903554[/C][C]7[/C][/ROW]
[ROW][C]14[/C][C]8.75[/C][C]2.21735578260835[/C][C]5[/C][/ROW]
[ROW][C]15[/C][C]14[/C][C]1.82574185835055[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62834&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62834&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
123.751.258305739211793
225.53.31662479035548
320.53.109126351029607
421.755.123475382979811
5221.414213562373103
6221.825741858350554
719.752.217355782608355
820.753.862210075418828
918.751.53
1012.753.774917217635378
118.752.061552812808835
12113.366501646120697
139.53.31662479035547
148.752.217355782608355
15141.825741858350554







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.77430198096112
beta-0.00549048965013584
S.D.0.0525840430337709
T-STAT-0.104413607881191
p-value0.918434862155606

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.77430198096112 \tabularnewline
beta & -0.00549048965013584 \tabularnewline
S.D. & 0.0525840430337709 \tabularnewline
T-STAT & -0.104413607881191 \tabularnewline
p-value & 0.918434862155606 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62834&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.77430198096112[/C][/ROW]
[ROW][C]beta[/C][C]-0.00549048965013584[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0525840430337709[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.104413607881191[/C][/ROW]
[ROW][C]p-value[/C][C]0.918434862155606[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62834&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62834&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)
alpha2.77430198096112
beta-0.00549048965013584
S.D.0.0525840430337709
T-STAT-0.104413607881191
p-value0.918434862155606







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.25161841836230
beta-0.124687876391222
S.D.0.301666750886966
T-STAT-0.413329861592676
p-value0.68610180873483
Lambda1.12468787639122

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.25161841836230 \tabularnewline
beta & -0.124687876391222 \tabularnewline
S.D. & 0.301666750886966 \tabularnewline
T-STAT & -0.413329861592676 \tabularnewline
p-value & 0.68610180873483 \tabularnewline
Lambda & 1.12468787639122 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62834&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.25161841836230[/C][/ROW]
[ROW][C]beta[/C][C]-0.124687876391222[/C][/ROW]
[ROW][C]S.D.[/C][C]0.301666750886966[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.413329861592676[/C][/ROW]
[ROW][C]p-value[/C][C]0.68610180873483[/C][/ROW]
[ROW][C]Lambda[/C][C]1.12468787639122[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62834&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62834&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)
alpha1.25161841836230
beta-0.124687876391222
S.D.0.301666750886966
T-STAT-0.413329861592676
p-value0.68610180873483
Lambda1.12468787639122



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')