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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 12 Dec 2009 09:32:15 -0700

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/2009/Dec/12/t1260635568qa08ibj7ttrjq3i.htm/, Retrieved Mon, 29 Apr 2024 14:27:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67047, Retrieved Mon, 29 Apr 2024 14:27:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

155

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
-   PD        [Standard Deviation-Mean Plot] [smp] [2009-11-26 18:37:16] [ed603017d2bee8fbd82b6d5ec04e12c3]
-   PD            [Standard Deviation-Mean Plot] [smp lambda] [2009-12-12 16:32:15] [87085ce7f5378f281469a8b1f0969170] [Current]
-    D              [Standard Deviation-Mean Plot] [lambda] [2009-12-14 08:42:56] [34b80aeb109c116fd63bf2eb7493a276] 

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Dataseries X:

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Histogram

Boxplots

4,2
4,5
4,6
4,9
4,9
4,5
4,6
4,7
4,7
4,3
4,2
4,4
4
3,8
3,6
3,6
3,3
3,4
3,4
3,3
3,3
3,2
3,1
3,1
2,4
2,4
2,4
2,1
2
2
2,1
2,1
2
2
2
1,7
1,3
1,2
1,1
1,4
1,5
1,4
1,1
1,1
1
1,4
1,3
1,2
1,5
1,6
1,8
1,5
1,3
1,6
1,6
1,8
1,8
1,6
1,8
2
1,3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=67047&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=67047&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67047&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4.54166666666667	0.239158879611378	0.7
2	3.425	0.276750626179796	0.9
3	2.1	0.208893187146837	0.7
4	1.25	0.156669890360128	0.5
5	1.65833333333333	0.188092498199125	0.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4.54166666666667 & 0.239158879611378 & 0.7 \tabularnewline
2 & 3.425 & 0.276750626179796 & 0.9 \tabularnewline
3 & 2.1 & 0.208893187146837 & 0.7 \tabularnewline
4 & 1.25 & 0.156669890360128 & 0.5 \tabularnewline
5 & 1.65833333333333 & 0.188092498199125 & 0.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67047&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]4.54166666666667[/C][C]0.239158879611378[/C][C]0.7[/C][/ROW]
[ROW][C]2[/C][C]3.425[/C][C]0.276750626179796[/C][C]0.9[/C][/ROW]
[ROW][C]3[/C][C]2.1[/C][C]0.208893187146837[/C][C]0.7[/C][/ROW]
[ROW][C]4[/C][C]1.25[/C][C]0.156669890360128[/C][C]0.5[/C][/ROW]
[ROW][C]5[/C][C]1.65833333333333[/C][C]0.188092498199125[/C][C]0.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67047&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67047&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	4.54166666666667	0.239158879611378	0.7
2	3.425	0.276750626179796	0.9
3	2.1	0.208893187146837	0.7
4	1.25	0.156669890360128	0.5
5	1.65833333333333	0.188092498199125	0.7

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.142132755007816
beta	0.0276609870102647
S.D.	0.0113924824329543
T-STAT	2.42800348151089
p-value	0.093496782470458

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.142132755007816 \tabularnewline
beta & 0.0276609870102647 \tabularnewline
S.D. & 0.0113924824329543 \tabularnewline
T-STAT & 2.42800348151089 \tabularnewline
p-value & 0.093496782470458 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67047&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.142132755007816[/C][/ROW]
[ROW][C]beta[/C][C]0.0276609870102647[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0113924824329543[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.42800348151089[/C][/ROW]
[ROW][C]p-value[/C][C]0.093496782470458[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67047&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67047&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	0.142132755007816
beta	0.0276609870102647
S.D.	0.0113924824329543
T-STAT	2.42800348151089
p-value	0.093496782470458

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.87577784621679
beta	0.373226005063442
S.D.	0.105119986899965
T-STAT	3.55047613750763
p-value	0.0380777590439415
Lambda	0.626773994936558

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.87577784621679 \tabularnewline
beta & 0.373226005063442 \tabularnewline
S.D. & 0.105119986899965 \tabularnewline
T-STAT & 3.55047613750763 \tabularnewline
p-value & 0.0380777590439415 \tabularnewline
Lambda & 0.626773994936558 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67047&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.87577784621679[/C][/ROW]
[ROW][C]beta[/C][C]0.373226005063442[/C][/ROW]
[ROW][C]S.D.[/C][C]0.105119986899965[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.55047613750763[/C][/ROW]
[ROW][C]p-value[/C][C]0.0380777590439415[/C][/ROW]
[ROW][C]Lambda[/C][C]0.626773994936558[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67047&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67047&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	-1.87577784621679
beta	0.373226005063442
S.D.	0.105119986899965
T-STAT	3.55047613750763
p-value	0.0380777590439415
Lambda	0.626773994936558

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