Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

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

Thu, 03 Dec 2009 07:54:39 -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/03/t12598529513kan439eqtjetgd.htm/, Retrieved Fri, 19 Apr 2024 10:17:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62822, Retrieved Fri, 19 Apr 2024 10:17:40 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

125

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  D      [Standard Deviation-Mean Plot] [] [2009-12-03 14:54:39] [bcaf453a09027aa0f995cb78bdc3c98a] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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

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	'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=62822&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=62822&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62822&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7.61666666666667	0.248022481874429	1
2	7.69166666666667	0.523030215246314	1.6
3	6.86666666666667	0.234843597212092	0.8
4	6.49166666666667	0.454189254372975	1.5
5	7.2	0.788554488807325	2.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.61666666666667 & 0.248022481874429 & 1 \tabularnewline
2 & 7.69166666666667 & 0.523030215246314 & 1.6 \tabularnewline
3 & 6.86666666666667 & 0.234843597212092 & 0.8 \tabularnewline
4 & 6.49166666666667 & 0.454189254372975 & 1.5 \tabularnewline
5 & 7.2 & 0.788554488807325 & 2.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62822&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]7.61666666666667[/C][C]0.248022481874429[/C][C]1[/C][/ROW]
[ROW][C]2[/C][C]7.69166666666667[/C][C]0.523030215246314[/C][C]1.6[/C][/ROW]
[ROW][C]3[/C][C]6.86666666666667[/C][C]0.234843597212092[/C][C]0.8[/C][/ROW]
[ROW][C]4[/C][C]6.49166666666667[/C][C]0.454189254372975[/C][C]1.5[/C][/ROW]
[ROW][C]5[/C][C]7.2[/C][C]0.788554488807325[/C][C]2.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62822&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62822&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	7.61666666666667	0.248022481874429	1
2	7.69166666666667	0.523030215246314	1.6
3	6.86666666666667	0.234843597212092	0.8
4	6.49166666666667	0.454189254372975	1.5
5	7.2	0.788554488807325	2.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.306460218973018
beta	0.0199722753526406
S.D.	0.259280454108217
T-STAT	0.077029621925549
p-value	0.94344965601394

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.306460218973018 \tabularnewline
beta & 0.0199722753526406 \tabularnewline
S.D. & 0.259280454108217 \tabularnewline
T-STAT & 0.077029621925549 \tabularnewline
p-value & 0.94344965601394 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62822&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.306460218973018[/C][/ROW]
[ROW][C]beta[/C][C]0.0199722753526406[/C][/ROW]
[ROW][C]S.D.[/C][C]0.259280454108217[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.077029621925549[/C][/ROW]
[ROW][C]p-value[/C][C]0.94344965601394[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62822&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62822&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	0.306460218973018
beta	0.0199722753526406
S.D.	0.259280454108217
T-STAT	0.077029621925549
p-value	0.94344965601394

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.22073698339980
beta	0.161119872428544
S.D.	4.16718959053867
T-STAT	0.0386639169944069
p-value	0.97158739136284
Lambda	0.838880127571456

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.22073698339980 \tabularnewline
beta & 0.161119872428544 \tabularnewline
S.D. & 4.16718959053867 \tabularnewline
T-STAT & 0.0386639169944069 \tabularnewline
p-value & 0.97158739136284 \tabularnewline
Lambda & 0.838880127571456 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62822&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.22073698339980[/C][/ROW]
[ROW][C]beta[/C][C]0.161119872428544[/C][/ROW]
[ROW][C]S.D.[/C][C]4.16718959053867[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0386639169944069[/C][/ROW]
[ROW][C]p-value[/C][C]0.97158739136284[/C][/ROW]
[ROW][C]Lambda[/C][C]0.838880127571456[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62822&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62822&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	-1.22073698339980
beta	0.161119872428544
S.D.	4.16718959053867
T-STAT	0.0386639169944069
p-value	0.97158739136284
Lambda	0.838880127571456

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