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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 24 Dec 2010 13:19:31 +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/2010/Dec/24/t1293197077lv1mpsp7n3lfjoo.htm/, Retrieved Tue, 30 Apr 2024 02:18:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114918, Retrieved Tue, 30 Apr 2024 02:18:53 +0000

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Original text written by user:

Prijsverandering in België

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

152

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

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Cross Correlation Function] [Q7 - zonder trans...] [2008-12-01 20:04:13] [299afd6311e4c20059ea2f05c8dd029d]
F RM D    [Variance Reduction Matrix] [Q8] [2008-12-01 20:20:44] [299afd6311e4c20059ea2f05c8dd029d]
F    D      [Variance Reduction Matrix] [Q8 - 2] [2008-12-01 20:25:07] [299afd6311e4c20059ea2f05c8dd029d]
F RM D        [Standard Deviation-Mean Plot] [Deel 2: Step 1] [2008-12-08 20:09:35] [299afd6311e4c20059ea2f05c8dd029d]
-    D          [Standard Deviation-Mean Plot] [Totale Uitvoer - SMP] [2008-12-17 15:57:12] [299afd6311e4c20059ea2f05c8dd029d]
-  M D              [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-24 13:19:31] [fba9c6aa004af59d8497d682e70ddad5] [Current]

Feedback Forum

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Dataseries X:

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Histogram

Boxplots

3.4
3.4
3.4
-3.5
-3.5
-3.5
-8.3
-8.3
-8.3
-16.7
-16.7
-16.7
-11.6
-11.6
-11.6
-8.4
-8.4
-8.4
-8.6
-8.6
-8.6
0.6
0.6
0.6
-1.5
-1.5
-1.5
9.3
9.3
9.3
2.0
2.0
2.0
-5.5
-5.5
-5.5
4.0
4.0
4.0
-0.5
-0.5
-0.5
10.9
10.9
10.9
19.4
19.4
19.4
13.9
13.9
13.9
10.6
10.6
10.6
4.8
4.8
4.8
4.7
4.7
4.7
-3.9
-3.9
-3.9
-0.2
-0.2
-0.2

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114918&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114918&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-6.275	7.64117137617002	20.1
2	-7	4.77036305079222	12.2
3	1.075	5.68172909021061	14.8
4	8.45	7.8475821406689	19.9
5	8.5	4.10210588932962	9.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -6.275 & 7.64117137617002 & 20.1 \tabularnewline
2 & -7 & 4.77036305079222 & 12.2 \tabularnewline
3 & 1.075 & 5.68172909021061 & 14.8 \tabularnewline
4 & 8.45 & 7.8475821406689 & 19.9 \tabularnewline
5 & 8.5 & 4.10210588932962 & 9.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114918&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]-6.275[/C][C]7.64117137617002[/C][C]20.1[/C][/ROW]
[ROW][C]2[/C][C]-7[/C][C]4.77036305079222[/C][C]12.2[/C][/ROW]
[ROW][C]3[/C][C]1.075[/C][C]5.68172909021061[/C][C]14.8[/C][/ROW]
[ROW][C]4[/C][C]8.45[/C][C]7.8475821406689[/C][C]19.9[/C][/ROW]
[ROW][C]5[/C][C]8.5[/C][C]4.10210588932962[/C][C]9.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114918&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	-6.275	7.64117137617002	20.1
2	-7	4.77036305079222	12.2
3	1.075	5.68172909021061	14.8
4	8.45	7.8475821406689	19.9
5	8.5	4.10210588932962	9.2

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.01936636633408
beta	-0.011343217789271
S.D.	0.128300682008722
T-STAT	-0.0884112041469887
p-value	0.935121091452681

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.01936636633408 \tabularnewline
beta & -0.011343217789271 \tabularnewline
S.D. & 0.128300682008722 \tabularnewline
T-STAT & -0.0884112041469887 \tabularnewline
p-value & 0.935121091452681 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114918&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.01936636633408[/C][/ROW]
[ROW][C]beta[/C][C]-0.011343217789271[/C][/ROW]
[ROW][C]S.D.[/C][C]0.128300682008722[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0884112041469887[/C][/ROW]
[ROW][C]p-value[/C][C]0.935121091452681[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114918&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114918&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	6.01936636633408
beta	-0.011343217789271
S.D.	0.128300682008722
T-STAT	-0.0884112041469887
p-value	0.935121091452681

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.73828018003770
beta	-0.00135256279445457
S.D.	0.272079275416420
T-STAT	-0.00497120845527266
p-value	0.996835256474652
Lambda	1.00135256279445

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.73828018003770 \tabularnewline
beta & -0.00135256279445457 \tabularnewline
S.D. & 0.272079275416420 \tabularnewline
T-STAT & -0.00497120845527266 \tabularnewline
p-value & 0.996835256474652 \tabularnewline
Lambda & 1.00135256279445 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114918&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.73828018003770[/C][/ROW]
[ROW][C]beta[/C][C]-0.00135256279445457[/C][/ROW]
[ROW][C]S.D.[/C][C]0.272079275416420[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.00497120845527266[/C][/ROW]
[ROW][C]p-value[/C][C]0.996835256474652[/C][/ROW]
[ROW][C]Lambda[/C][C]1.00135256279445[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114918&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114918&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	1.73828018003770
beta	-0.00135256279445457
S.D.	0.272079275416420
T-STAT	-0.00497120845527266
p-value	0.996835256474652
Lambda	1.00135256279445

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