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

Sun, 18 May 2008 11:31:02 -0600

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/May/18/t1211131978sxlgrk8drvzpgt2.htm/, Retrieved Mon, 13 May 2024 22:23:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12798, Retrieved Mon, 13 May 2024 22:23:05 +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

149

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

-       [Standard Deviation-Mean Plot] [spreidings- en ge...] [2008-05-18 17:31:02] [09804d09b1efbac8047933d2e370b54e] [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	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=12798&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=12798&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12798&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	2.00666666666667	0.00984731927834659	0.03
2	1.995	0.0144599761096244	0.0499999999999998
3	1.98333333333333	0.00492365963917331	0.01
4	1.96	0.0298481002897855	0.09
5	1.92583333333333	0.00900336637378521	0.03
6	1.97583333333333	0.0308834563931545	0.0999999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2.00666666666667 & 0.00984731927834659 & 0.03 \tabularnewline
2 & 1.995 & 0.0144599761096244 & 0.0499999999999998 \tabularnewline
3 & 1.98333333333333 & 0.00492365963917331 & 0.01 \tabularnewline
4 & 1.96 & 0.0298481002897855 & 0.09 \tabularnewline
5 & 1.92583333333333 & 0.00900336637378521 & 0.03 \tabularnewline
6 & 1.97583333333333 & 0.0308834563931545 & 0.0999999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12798&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]2.00666666666667[/C][C]0.00984731927834659[/C][C]0.03[/C][/ROW]
[ROW][C]2[/C][C]1.995[/C][C]0.0144599761096244[/C][C]0.0499999999999998[/C][/ROW]
[ROW][C]3[/C][C]1.98333333333333[/C][C]0.00492365963917331[/C][C]0.01[/C][/ROW]
[ROW][C]4[/C][C]1.96[/C][C]0.0298481002897855[/C][C]0.09[/C][/ROW]
[ROW][C]5[/C][C]1.92583333333333[/C][C]0.00900336637378521[/C][C]0.03[/C][/ROW]
[ROW][C]6[/C][C]1.97583333333333[/C][C]0.0308834563931545[/C][C]0.0999999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12798&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12798&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	2.00666666666667	0.00984731927834659	0.03
2	1.995	0.0144599761096244	0.0499999999999998
3	1.98333333333333	0.00492365963917331	0.01
4	1.96	0.0298481002897855	0.09
5	1.92583333333333	0.00900336637378521	0.03
6	1.97583333333333	0.0308834563931545	0.0999999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0969461359021822
beta	-0.0407465619580099
S.D.	0.193624543987838
T-STAT	-0.210441099660223
p-value	0.84360861461617

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0969461359021822 \tabularnewline
beta & -0.0407465619580099 \tabularnewline
S.D. & 0.193624543987838 \tabularnewline
T-STAT & -0.210441099660223 \tabularnewline
p-value & 0.84360861461617 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12798&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0969461359021822[/C][/ROW]
[ROW][C]beta[/C][C]-0.0407465619580099[/C][/ROW]
[ROW][C]S.D.[/C][C]0.193624543987838[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.210441099660223[/C][/ROW]
[ROW][C]p-value[/C][C]0.84360861461617[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12798&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12798&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	0.0969461359021822
beta	-0.0407465619580099
S.D.	0.193624543987838
T-STAT	-0.210441099660223
p-value	0.84360861461617

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.70935060463488
beta	-3.82580722634492
S.D.	24.6264454881445
T-STAT	-0.155353610742838
p-value	0.884066951051734
Lambda	4.82580722634492

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.70935060463488 \tabularnewline
beta & -3.82580722634492 \tabularnewline
S.D. & 24.6264454881445 \tabularnewline
T-STAT & -0.155353610742838 \tabularnewline
p-value & 0.884066951051734 \tabularnewline
Lambda & 4.82580722634492 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12798&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.70935060463488[/C][/ROW]
[ROW][C]beta[/C][C]-3.82580722634492[/C][/ROW]
[ROW][C]S.D.[/C][C]24.6264454881445[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.155353610742838[/C][/ROW]
[ROW][C]p-value[/C][C]0.884066951051734[/C][/ROW]
[ROW][C]Lambda[/C][C]4.82580722634492[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12798&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12798&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	-1.70935060463488
beta	-3.82580722634492
S.D.	24.6264454881445
T-STAT	-0.155353610742838
p-value	0.884066951051734
Lambda	4.82580722634492

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