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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Mon, 28 Apr 2014 12:04:10 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Apr/28/t13987010561j14u3ubsd2ze4b.htm/, Retrieved Fri, 17 May 2024 02:32:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234699, Retrieved Fri, 17 May 2024 02:32:11 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [] [2014-04-28 16:04:10] [c97636ecf0aef6cf672ffb6fe15d6b60] [Current]

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Dataseries X:

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Histogram

Boxplots

2.79
3.08
3.89
3.7
4.61
5.07
5.22
4.93
5.15
4.8
3.89
3.54
3.34
2.8
1.6
1.53
0.69
-0.11
-0.67
-0.2
-0.62
-0.58
-0.31
-0.25
-0.08
0.13
0.94
1.05
1.59
2.03
2.15
2.06
2.56
2.55
2.53
2.6
2.71
2.82
2.93
2.88
2.89
3.27
3.32
3.14
3.04
3.08
3.39
3.23
3.38
3.41
3.14
2.96
2.73
2.21
2.23
2.56
2.39
2.49
2.17
2.16
1.48
1.09
1.25
1.26
1.39
1.69
1.55
1.19
1.08
0.93
0.98
1.01

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234699&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234699&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234699&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4.2225	0.846115455263857	2.43
2	0.601666666666667	1.39508770225018	4.01
3	1.67583333333333	0.95539100356711	2.68
4	3.05833333333333	0.216368092645731	0.68
5	2.6525	0.466595503232043	1.25
6	1.24166666666667	0.242405870515972	0.76

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4.2225 & 0.846115455263857 & 2.43 \tabularnewline
2 & 0.601666666666667 & 1.39508770225018 & 4.01 \tabularnewline
3 & 1.67583333333333 & 0.95539100356711 & 2.68 \tabularnewline
4 & 3.05833333333333 & 0.216368092645731 & 0.68 \tabularnewline
5 & 2.6525 & 0.466595503232043 & 1.25 \tabularnewline
6 & 1.24166666666667 & 0.242405870515972 & 0.76 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234699&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]4.2225[/C][C]0.846115455263857[/C][C]2.43[/C][/ROW]
[ROW][C]2[/C][C]0.601666666666667[/C][C]1.39508770225018[/C][C]4.01[/C][/ROW]
[ROW][C]3[/C][C]1.67583333333333[/C][C]0.95539100356711[/C][C]2.68[/C][/ROW]
[ROW][C]4[/C][C]3.05833333333333[/C][C]0.216368092645731[/C][C]0.68[/C][/ROW]
[ROW][C]5[/C][C]2.6525[/C][C]0.466595503232043[/C][C]1.25[/C][/ROW]
[ROW][C]6[/C][C]1.24166666666667[/C][C]0.242405870515972[/C][C]0.76[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234699&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234699&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
Section	Mean	Standard Deviation	Range
1	4.2225	0.846115455263857	2.43
2	0.601666666666667	1.39508770225018	4.01
3	1.67583333333333	0.95539100356711	2.68
4	3.05833333333333	0.216368092645731	0.68
5	2.6525	0.466595503232043	1.25
6	1.24166666666667	0.242405870515972	0.76

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.949894520938093
beta	-0.117257275462082
S.D.	0.164215498191418
T-STAT	-0.714045122132145
p-value	0.514652629334978

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.949894520938093 \tabularnewline
beta & -0.117257275462082 \tabularnewline
S.D. & 0.164215498191418 \tabularnewline
T-STAT & -0.714045122132145 \tabularnewline
p-value & 0.514652629334978 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234699&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.949894520938093[/C][/ROW]
[ROW][C]beta[/C][C]-0.117257275462082[/C][/ROW]
[ROW][C]S.D.[/C][C]0.164215498191418[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.714045122132145[/C][/ROW]
[ROW][C]p-value[/C][C]0.514652629334978[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234699&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234699&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	0.949894520938093
beta	-0.117257275462082
S.D.	0.164215498191418
T-STAT	-0.714045122132145
p-value	0.514652629334978

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.36061015504959
beta	-0.379491625146267
S.D.	0.507291566503232
T-STAT	-0.748073987829343
p-value	0.495999848434631
Lambda	1.37949162514627

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.36061015504959 \tabularnewline
beta & -0.379491625146267 \tabularnewline
S.D. & 0.507291566503232 \tabularnewline
T-STAT & -0.748073987829343 \tabularnewline
p-value & 0.495999848434631 \tabularnewline
Lambda & 1.37949162514627 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234699&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.36061015504959[/C][/ROW]
[ROW][C]beta[/C][C]-0.379491625146267[/C][/ROW]
[ROW][C]S.D.[/C][C]0.507291566503232[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.748073987829343[/C][/ROW]
[ROW][C]p-value[/C][C]0.495999848434631[/C][/ROW]
[ROW][C]Lambda[/C][C]1.37949162514627[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234699&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234699&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	-0.36061015504959
beta	-0.379491625146267
S.D.	0.507291566503232
T-STAT	-0.748073987829343
p-value	0.495999848434631
Lambda	1.37949162514627

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code