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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 04 Jan 2015 18:30:35 +0000

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/2015/Jan/04/t14203962629hyhveiavvau0mn.htm/, Retrieved Mon, 13 May 2024 23:34:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271927, Retrieved Mon, 13 May 2024 23:34:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

139

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

-     [Standard Deviation Plot] [] [2014-11-22 13:27:32] [0b2fe4434690774311f6a6a179058199]
- RM D    [Standard Deviation-Mean Plot] [] [2015-01-04 18:30:35] [7c1b641e1a752e372282648dcc4f5732] [Current]

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Dataseries X:

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Boxplots

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	'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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271927&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271927&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271927&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	118.183333333333	32.1358715833917	100.8
2	77.5	14.2419355170822	38.5
3	99.9916666666667	6.45057549699438	21.2
4	128.633333333333	6.46885311365628	23.7
5	125.075	7.91800307699313	28.4
6	122.533333333333	3.48329346069684	10.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 118.183333333333 & 32.1358715833917 & 100.8 \tabularnewline
2 & 77.5 & 14.2419355170822 & 38.5 \tabularnewline
3 & 99.9916666666667 & 6.45057549699438 & 21.2 \tabularnewline
4 & 128.633333333333 & 6.46885311365628 & 23.7 \tabularnewline
5 & 125.075 & 7.91800307699313 & 28.4 \tabularnewline
6 & 122.533333333333 & 3.48329346069684 & 10.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271927&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]118.183333333333[/C][C]32.1358715833917[/C][C]100.8[/C][/ROW]
[ROW][C]2[/C][C]77.5[/C][C]14.2419355170822[/C][C]38.5[/C][/ROW]
[ROW][C]3[/C][C]99.9916666666667[/C][C]6.45057549699438[/C][C]21.2[/C][/ROW]
[ROW][C]4[/C][C]128.633333333333[/C][C]6.46885311365628[/C][C]23.7[/C][/ROW]
[ROW][C]5[/C][C]125.075[/C][C]7.91800307699313[/C][C]28.4[/C][/ROW]
[ROW][C]6[/C][C]122.533333333333[/C][C]3.48329346069684[/C][C]10.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271927&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271927&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	118.183333333333	32.1358715833917	100.8
2	77.5	14.2419355170822	38.5
3	99.9916666666667	6.45057549699438	21.2
4	128.633333333333	6.46885311365628	23.7
5	125.075	7.91800307699313	28.4
6	122.533333333333	3.48329346069684	10.4

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	18.8168946034874
beta	-0.0628096272436215
S.D.	0.267594598416302
T-STAT	-0.234719338937879
p-value	0.825952236093233

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18.8168946034874 \tabularnewline
beta & -0.0628096272436215 \tabularnewline
S.D. & 0.267594598416302 \tabularnewline
T-STAT & -0.234719338937879 \tabularnewline
p-value & 0.825952236093233 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271927&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.8168946034874[/C][/ROW]
[ROW][C]beta[/C][C]-0.0628096272436215[/C][/ROW]
[ROW][C]S.D.[/C][C]0.267594598416302[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.234719338937879[/C][/ROW]
[ROW][C]p-value[/C][C]0.825952236093233[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271927&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271927&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	18.8168946034874
beta	-0.0628096272436215
S.D.	0.267594598416302
T-STAT	-0.234719338937879
p-value	0.825952236093233

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	7.36363146914068
beta	-1.0986991882356
S.D.	1.90122282616764
T-STAT	-0.577890804335798
p-value	0.594310344934634
Lambda	2.0986991882356

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.36363146914068 \tabularnewline
beta & -1.0986991882356 \tabularnewline
S.D. & 1.90122282616764 \tabularnewline
T-STAT & -0.577890804335798 \tabularnewline
p-value & 0.594310344934634 \tabularnewline
Lambda & 2.0986991882356 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271927&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.36363146914068[/C][/ROW]
[ROW][C]beta[/C][C]-1.0986991882356[/C][/ROW]
[ROW][C]S.D.[/C][C]1.90122282616764[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.577890804335798[/C][/ROW]
[ROW][C]p-value[/C][C]0.594310344934634[/C][/ROW]
[ROW][C]Lambda[/C][C]2.0986991882356[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271927&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271927&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	7.36363146914068
beta	-1.0986991882356
S.D.	1.90122282616764
T-STAT	-0.577890804335798
p-value	0.594310344934634
Lambda	2.0986991882356

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