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

Sun, 21 Dec 2008 09:04:13 -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/2008/Dec/21/t1229875501wnn9wtrn5senztp.htm/, Retrieved Sun, 26 May 2024 06:07:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35649, Retrieved Sun, 26 May 2024 06:07:37 +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

153

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

-       [Standard Deviation-Mean Plot] [Paper PPCC plot I...] [2008-12-21 16:04:13] [0da3c04827d8ef68db874351a2e09488] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

1.7
1.4
1.8
1.7
1.4
1.2
1
1.7
2.4
2
2.1
2
1.8
2.7
2.3
1.9
2
2.3
2.8
2.4
2.3
2.7
2.7
2.9
3
2.2
2.3
2.8
2.8
2.8
2.2
2.6
2.8
2.5
2.4
2.3
1.9
1.7
2
2.1
1.7
1.8
1.8
1.8
1.3
1.3
1.3
1.2
1.4
2.2
2.9
3.1
3.5
3.6
4.4
4.1
5.1
5.8
5.9
5.4
5.5

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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35649&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35649&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35649&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	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.7	0.4	1.4
2	2.4	0.366804381851491	1.1
3	2.55833333333333	0.277843426585855	0.8
4	1.65833333333333	0.305876782480472	0.9
5	3.95	1.43305141695487	4.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.7 & 0.4 & 1.4 \tabularnewline
2 & 2.4 & 0.366804381851491 & 1.1 \tabularnewline
3 & 2.55833333333333 & 0.277843426585855 & 0.8 \tabularnewline
4 & 1.65833333333333 & 0.305876782480472 & 0.9 \tabularnewline
5 & 3.95 & 1.43305141695487 & 4.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35649&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]1.7[/C][C]0.4[/C][C]1.4[/C][/ROW]
[ROW][C]2[/C][C]2.4[/C][C]0.366804381851491[/C][C]1.1[/C][/ROW]
[ROW][C]3[/C][C]2.55833333333333[/C][C]0.277843426585855[/C][C]0.8[/C][/ROW]
[ROW][C]4[/C][C]1.65833333333333[/C][C]0.305876782480472[/C][C]0.9[/C][/ROW]
[ROW][C]5[/C][C]3.95[/C][C]1.43305141695487[/C][C]4.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35649&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35649&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	1.7	0.4	1.4
2	2.4	0.366804381851491	1.1
3	2.55833333333333	0.277843426585855	0.8
4	1.65833333333333	0.305876782480472	0.9
5	3.95	1.43305141695487	4.5

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.586973899120798
beta	0.466177622566034
S.D.	0.145317215428787
T-STAT	3.20799996883017
p-value	0.0490310783539429

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.586973899120798 \tabularnewline
beta & 0.466177622566034 \tabularnewline
S.D. & 0.145317215428787 \tabularnewline
T-STAT & 3.20799996883017 \tabularnewline
p-value & 0.0490310783539429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35649&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.586973899120798[/C][/ROW]
[ROW][C]beta[/C][C]0.466177622566034[/C][/ROW]
[ROW][C]S.D.[/C][C]0.145317215428787[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.20799996883017[/C][/ROW]
[ROW][C]p-value[/C][C]0.0490310783539429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35649&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35649&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	-0.586973899120798
beta	0.466177622566034
S.D.	0.145317215428787
T-STAT	3.20799996883017
p-value	0.0490310783539429

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.02843058191721
beta	1.44792845211687
S.D.	0.69232260781977
T-STAT	2.09140715002304
p-value	0.127605626366166
Lambda	-0.447928452116867

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.02843058191721 \tabularnewline
beta & 1.44792845211687 \tabularnewline
S.D. & 0.69232260781977 \tabularnewline
T-STAT & 2.09140715002304 \tabularnewline
p-value & 0.127605626366166 \tabularnewline
Lambda & -0.447928452116867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35649&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.02843058191721[/C][/ROW]
[ROW][C]beta[/C][C]1.44792845211687[/C][/ROW]
[ROW][C]S.D.[/C][C]0.69232260781977[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.09140715002304[/C][/ROW]
[ROW][C]p-value[/C][C]0.127605626366166[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.447928452116867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35649&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35649&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	-2.02843058191721
beta	1.44792845211687
S.D.	0.69232260781977
T-STAT	2.09140715002304
p-value	0.127605626366166
Lambda	-0.447928452116867

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