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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

Wed, 28 May 2008 04:17:42 -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/28/t1211969942nx1vn9kb5mmml16.htm/, Retrieved Mon, 13 May 2024 21:38:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13417, Retrieved Mon, 13 May 2024 21:38:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

217

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

-     [Mean Plot] [Bouwvergunningen] [2008-04-28 20:31:41] [70836ebc47039e6a5440e0357610e663]
- RMPD  [Standard Deviation-Mean Plot] [Bouwvergunningen] [2008-05-12 21:51:09] [70836ebc47039e6a5440e0357610e663]
-   PD      [Standard Deviation-Mean Plot] [Bouwvergunningen] [2008-05-28 10:17:42] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13417&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13417&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13417&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2386.41666666667	371.351452824883	1167
2	2539.33333333333	227.332889006942	832
3	3011.66666666667	533.296324473524	1720
4	3306.58333333333	410.123364662908	1301
5	3689.75	413.956107686442	1417
6	3128.83333333333	308.635069395242	913

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2386.41666666667 & 371.351452824883 & 1167 \tabularnewline
2 & 2539.33333333333 & 227.332889006942 & 832 \tabularnewline
3 & 3011.66666666667 & 533.296324473524 & 1720 \tabularnewline
4 & 3306.58333333333 & 410.123364662908 & 1301 \tabularnewline
5 & 3689.75 & 413.956107686442 & 1417 \tabularnewline
6 & 3128.83333333333 & 308.635069395242 & 913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13417&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]2386.41666666667[/C][C]371.351452824883[/C][C]1167[/C][/ROW]
[ROW][C]2[/C][C]2539.33333333333[/C][C]227.332889006942[/C][C]832[/C][/ROW]
[ROW][C]3[/C][C]3011.66666666667[/C][C]533.296324473524[/C][C]1720[/C][/ROW]
[ROW][C]4[/C][C]3306.58333333333[/C][C]410.123364662908[/C][C]1301[/C][/ROW]
[ROW][C]5[/C][C]3689.75[/C][C]413.956107686442[/C][C]1417[/C][/ROW]
[ROW][C]6[/C][C]3128.83333333333[/C][C]308.635069395242[/C][C]913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13417&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13417&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	2386.41666666667	371.351452824883	1167
2	2539.33333333333	227.332889006942	832
3	3011.66666666667	533.296324473524	1720
4	3306.58333333333	410.123364662908	1301
5	3689.75	413.956107686442	1417
6	3128.83333333333	308.635069395242	913

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	118.459130569731
beta	0.086030906872765
S.D.	0.0981979167054309
T-STAT	0.876097067627576
p-value	0.430437877420714

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 118.459130569731 \tabularnewline
beta & 0.086030906872765 \tabularnewline
S.D. & 0.0981979167054309 \tabularnewline
T-STAT & 0.876097067627576 \tabularnewline
p-value & 0.430437877420714 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13417&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]118.459130569731[/C][/ROW]
[ROW][C]beta[/C][C]0.086030906872765[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0981979167054309[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.876097067627576[/C][/ROW]
[ROW][C]p-value[/C][C]0.430437877420714[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13417&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13417&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	118.459130569731
beta	0.086030906872765
S.D.	0.0981979167054309
T-STAT	0.876097067627576
p-value	0.430437877420714

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.479694430800575
beta	0.79751842949224
S.D.	0.797567957326482
T-STAT	0.999937901424215
p-value	0.373927627602112
Lambda	0.202481570507760

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.479694430800575 \tabularnewline
beta & 0.79751842949224 \tabularnewline
S.D. & 0.797567957326482 \tabularnewline
T-STAT & 0.999937901424215 \tabularnewline
p-value & 0.373927627602112 \tabularnewline
Lambda & 0.202481570507760 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13417&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.479694430800575[/C][/ROW]
[ROW][C]beta[/C][C]0.79751842949224[/C][/ROW]
[ROW][C]S.D.[/C][C]0.797567957326482[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.999937901424215[/C][/ROW]
[ROW][C]p-value[/C][C]0.373927627602112[/C][/ROW]
[ROW][C]Lambda[/C][C]0.202481570507760[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13417&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13417&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	-0.479694430800575
beta	0.79751842949224
S.D.	0.797567957326482
T-STAT	0.999937901424215
p-value	0.373927627602112
Lambda	0.202481570507760

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