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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, 21 Dec 2008 05:58:20 -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/t1229864350u39me763byfukx7.htm/, Retrieved Fri, 17 May 2024 02:02:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35541, Retrieved Fri, 17 May 2024 02:02:27 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

steven coomans

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: SMP] [2007-12-14 15:16:06] [216c4ec435219ff277a18bbe0654ee7a]
-    D    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-21 12:58:20] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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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	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=35541&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=35541&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35541&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	507.666666666667	23.41069426695	85
2	474.416666666667	24.5707081088376	61
3	469.75	28.1784088846891	65
4	491.5	28.1957443597434	82
5	538.083333333333	30.422654039184	144
6	576.666666666667	29.105867366418	182
7	596.25	21.9757097310148	145

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 507.666666666667 & 23.41069426695 & 85 \tabularnewline
2 & 474.416666666667 & 24.5707081088376 & 61 \tabularnewline
3 & 469.75 & 28.1784088846891 & 65 \tabularnewline
4 & 491.5 & 28.1957443597434 & 82 \tabularnewline
5 & 538.083333333333 & 30.422654039184 & 144 \tabularnewline
6 & 576.666666666667 & 29.105867366418 & 182 \tabularnewline
7 & 596.25 & 21.9757097310148 & 145 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35541&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]507.666666666667[/C][C]23.41069426695[/C][C]85[/C][/ROW]
[ROW][C]2[/C][C]474.416666666667[/C][C]24.5707081088376[/C][C]61[/C][/ROW]
[ROW][C]3[/C][C]469.75[/C][C]28.1784088846891[/C][C]65[/C][/ROW]
[ROW][C]4[/C][C]491.5[/C][C]28.1957443597434[/C][C]82[/C][/ROW]
[ROW][C]5[/C][C]538.083333333333[/C][C]30.422654039184[/C][C]144[/C][/ROW]
[ROW][C]6[/C][C]576.666666666667[/C][C]29.105867366418[/C][C]182[/C][/ROW]
[ROW][C]7[/C][C]596.25[/C][C]21.9757097310148[/C][C]145[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35541&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35541&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	507.666666666667	23.41069426695	85
2	474.416666666667	24.5707081088376	61
3	469.75	28.1784088846891	65
4	491.5	28.1957443597434	82
5	538.083333333333	30.422654039184	144
6	576.666666666667	29.105867366418	182
7	596.25	21.9757097310148	145

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	31.2402297622594
beta	-0.00898161677797467
S.D.	0.0284796040216442
T-STAT	-0.315370142476304
p-value	0.765218438824717

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 31.2402297622594 \tabularnewline
beta & -0.00898161677797467 \tabularnewline
S.D. & 0.0284796040216442 \tabularnewline
T-STAT & -0.315370142476304 \tabularnewline
p-value & 0.765218438824717 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35541&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]31.2402297622594[/C][/ROW]
[ROW][C]beta[/C][C]-0.00898161677797467[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0284796040216442[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.315370142476304[/C][/ROW]
[ROW][C]p-value[/C][C]0.765218438824717[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35541&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35541&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	31.2402297622594
beta	-0.00898161677797467
S.D.	0.0284796040216442
T-STAT	-0.315370142476304
p-value	0.765218438824717

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.57071754285995
beta	-0.207560512064877
S.D.	0.57958572606811
T-STAT	-0.358118743663617
p-value	0.734877056270709
Lambda	1.20756051206488

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.57071754285995 \tabularnewline
beta & -0.207560512064877 \tabularnewline
S.D. & 0.57958572606811 \tabularnewline
T-STAT & -0.358118743663617 \tabularnewline
p-value & 0.734877056270709 \tabularnewline
Lambda & 1.20756051206488 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35541&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.57071754285995[/C][/ROW]
[ROW][C]beta[/C][C]-0.207560512064877[/C][/ROW]
[ROW][C]S.D.[/C][C]0.57958572606811[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.358118743663617[/C][/ROW]
[ROW][C]p-value[/C][C]0.734877056270709[/C][/ROW]
[ROW][C]Lambda[/C][C]1.20756051206488[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35541&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35541&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	4.57071754285995
beta	-0.207560512064877
S.D.	0.57958572606811
T-STAT	-0.358118743663617
p-value	0.734877056270709
Lambda	1.20756051206488

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 ; par2 = ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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