Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 24 Dec 2011 07:04:17 -0500

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/2011/Dec/24/t1324731717vt7ws8fl0o4lsif.htm/, Retrieved Thu, 02 May 2024 18:32:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160751, Retrieved Thu, 02 May 2024 18:32:45 +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

KDGP2W83

Estimated Impact

168

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

-       [Standard Deviation-Mean Plot] [standard deviatio...] [2011-12-24 12:04:17] [23c029da43917b1445ec911a9179ae8a] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160751&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]0 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=160751&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160751&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	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	592.1675	4.19251524635379	9.26999999999998
2	603.515	8.16794232461159	18.0599999999999
3	619.84	5.0292092275571	11.12
4	631.405	5.83424451757977	12.9000000000001
5	647.8625	12.2700041675921	27.13
6	667.475	1.32966502958796	2.94000000000005

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 592.1675 & 4.19251524635379 & 9.26999999999998 \tabularnewline
2 & 603.515 & 8.16794232461159 & 18.0599999999999 \tabularnewline
3 & 619.84 & 5.0292092275571 & 11.12 \tabularnewline
4 & 631.405 & 5.83424451757977 & 12.9000000000001 \tabularnewline
5 & 647.8625 & 12.2700041675921 & 27.13 \tabularnewline
6 & 667.475 & 1.32966502958796 & 2.94000000000005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160751&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]592.1675[/C][C]4.19251524635379[/C][C]9.26999999999998[/C][/ROW]
[ROW][C]2[/C][C]603.515[/C][C]8.16794232461159[/C][C]18.0599999999999[/C][/ROW]
[ROW][C]3[/C][C]619.84[/C][C]5.0292092275571[/C][C]11.12[/C][/ROW]
[ROW][C]4[/C][C]631.405[/C][C]5.83424451757977[/C][C]12.9000000000001[/C][/ROW]
[ROW][C]5[/C][C]647.8625[/C][C]12.2700041675921[/C][C]27.13[/C][/ROW]
[ROW][C]6[/C][C]667.475[/C][C]1.32966502958796[/C][C]2.94000000000005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160751&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160751&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	592.1675	4.19251524635379	9.26999999999998
2	603.515	8.16794232461159	18.0599999999999
3	619.84	5.0292092275571	11.12
4	631.405	5.83424451757977	12.9000000000001
5	647.8625	12.2700041675921	27.13
6	667.475	1.32966502958796	2.94000000000005

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	12.5528239993762
beta	-0.0102314333208784
S.D.	0.0666890709304882
T-STAT	-0.153419940900705
p-value	0.885495821981823

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12.5528239993762 \tabularnewline
beta & -0.0102314333208784 \tabularnewline
S.D. & 0.0666890709304882 \tabularnewline
T-STAT & -0.153419940900705 \tabularnewline
p-value & 0.885495821981823 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160751&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.5528239993762[/C][/ROW]
[ROW][C]beta[/C][C]-0.0102314333208784[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0666890709304882[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.153419940900705[/C][/ROW]
[ROW][C]p-value[/C][C]0.885495821981823[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160751&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160751&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	12.5528239993762
beta	-0.0102314333208784
S.D.	0.0666890709304882
T-STAT	-0.153419940900705
p-value	0.885495821981823

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	41.412730115323
beta	-6.17920978892123
S.D.	7.91608371461731
T-STAT	-0.780589242318284
p-value	0.478656354746487
Lambda	7.17920978892123

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 41.412730115323 \tabularnewline
beta & -6.17920978892123 \tabularnewline
S.D. & 7.91608371461731 \tabularnewline
T-STAT & -0.780589242318284 \tabularnewline
p-value & 0.478656354746487 \tabularnewline
Lambda & 7.17920978892123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160751&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]41.412730115323[/C][/ROW]
[ROW][C]beta[/C][C]-6.17920978892123[/C][/ROW]
[ROW][C]S.D.[/C][C]7.91608371461731[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.780589242318284[/C][/ROW]
[ROW][C]p-value[/C][C]0.478656354746487[/C][/ROW]
[ROW][C]Lambda[/C][C]7.17920978892123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160751&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160751&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	41.412730115323
beta	-6.17920978892123
S.D.	7.91608371461731
T-STAT	-0.780589242318284
p-value	0.478656354746487
Lambda	7.17920978892123

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