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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

Mon, 12 Dec 2011 07:50:42 -0500

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/2011/Dec/12/t132369557110jmcysroqy2ajf.htm/, Retrieved Fri, 03 May 2024 14:42:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=153943, Retrieved Fri, 03 May 2024 14:42:55 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

136

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

-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
F RMPD  [Univariate Explorative Data Analysis] [Colombia Coffee] [2008-01-07 14:21:11] [74be16979710d4c4e7c6647856088456]
- RMPD    [Univariate Explorative Data Analysis] [paper] [2011-11-24 11:53:20] [74be16979710d4c4e7c6647856088456]
- RMPD        [Standard Deviation-Mean Plot] [paper] [2011-12-12 12:50:42] [7a9891c1925ad1e8ddfe52b8c5887b5b] [Current]
- RMP           [ARIMA Backward Selection] [Arima] [2011-12-18 15:33:42] [91ce4971c808115c699d50336245df56] 

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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' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153943&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153943&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153943&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' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	375.779166666667	1.83975027126131	5.44
2	377.521666666667	2.12756298201117	6.51999999999998
3	379.7575	1.98235913176011	5.72999999999996
4	381.8475	2.02928166869685	6.13
5	383.7075	1.95769867214265	5.71999999999997
6	385.574166666667	1.77028738464759	5.51999999999998
7	387.351666666667	1.87211515444834	5.80000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 375.779166666667 & 1.83975027126131 & 5.44 \tabularnewline
2 & 377.521666666667 & 2.12756298201117 & 6.51999999999998 \tabularnewline
3 & 379.7575 & 1.98235913176011 & 5.72999999999996 \tabularnewline
4 & 381.8475 & 2.02928166869685 & 6.13 \tabularnewline
5 & 383.7075 & 1.95769867214265 & 5.71999999999997 \tabularnewline
6 & 385.574166666667 & 1.77028738464759 & 5.51999999999998 \tabularnewline
7 & 387.351666666667 & 1.87211515444834 & 5.80000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153943&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]375.779166666667[/C][C]1.83975027126131[/C][C]5.44[/C][/ROW]
[ROW][C]2[/C][C]377.521666666667[/C][C]2.12756298201117[/C][C]6.51999999999998[/C][/ROW]
[ROW][C]3[/C][C]379.7575[/C][C]1.98235913176011[/C][C]5.72999999999996[/C][/ROW]
[ROW][C]4[/C][C]381.8475[/C][C]2.02928166869685[/C][C]6.13[/C][/ROW]
[ROW][C]5[/C][C]383.7075[/C][C]1.95769867214265[/C][C]5.71999999999997[/C][/ROW]
[ROW][C]6[/C][C]385.574166666667[/C][C]1.77028738464759[/C][C]5.51999999999998[/C][/ROW]
[ROW][C]7[/C][C]387.351666666667[/C][C]1.87211515444834[/C][C]5.80000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153943&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153943&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	375.779166666667	1.83975027126131	5.44
2	377.521666666667	2.12756298201117	6.51999999999998
3	379.7575	1.98235913176011	5.72999999999996
4	381.8475	2.02928166869685	6.13
5	383.7075	1.95769867214265	5.71999999999997
6	385.574166666667	1.77028738464759	5.51999999999998
7	387.351666666667	1.87211515444834	5.80000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.44019172450543
beta	-0.0117918117015204
S.D.	0.0117303395812793
T-STAT	-1.00524043825118
p-value	0.360921060174781

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.44019172450543 \tabularnewline
beta & -0.0117918117015204 \tabularnewline
S.D. & 0.0117303395812793 \tabularnewline
T-STAT & -1.00524043825118 \tabularnewline
p-value & 0.360921060174781 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153943&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.44019172450543[/C][/ROW]
[ROW][C]beta[/C][C]-0.0117918117015204[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0117303395812793[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.00524043825118[/C][/ROW]
[ROW][C]p-value[/C][C]0.360921060174781[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153943&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153943&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	6.44019172450543
beta	-0.0117918117015204
S.D.	0.0117303395812793
T-STAT	-1.00524043825118
p-value	0.360921060174781

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	14.2259792912004
beta	-2.28196869530487
S.D.	2.31187461801011
T-STAT	-0.987064210804402
p-value	0.368937742705311
Lambda	3.28196869530487

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.2259792912004 \tabularnewline
beta & -2.28196869530487 \tabularnewline
S.D. & 2.31187461801011 \tabularnewline
T-STAT & -0.987064210804402 \tabularnewline
p-value & 0.368937742705311 \tabularnewline
Lambda & 3.28196869530487 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=153943&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.2259792912004[/C][/ROW]
[ROW][C]beta[/C][C]-2.28196869530487[/C][/ROW]
[ROW][C]S.D.[/C][C]2.31187461801011[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.987064210804402[/C][/ROW]
[ROW][C]p-value[/C][C]0.368937742705311[/C][/ROW]
[ROW][C]Lambda[/C][C]3.28196869530487[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=153943&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=153943&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	14.2259792912004
beta	-2.28196869530487
S.D.	2.31187461801011
T-STAT	-0.987064210804402
p-value	0.368937742705311
Lambda	3.28196869530487

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = additive ; par2 = 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