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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

Tue, 21 Dec 2010 15:24:19 +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/21/t1292944981vlwr29e1wxxwnqh.htm/, Retrieved Tue, 07 May 2024 05:00:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113670, Retrieved Tue, 07 May 2024 05:00:04 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

159

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

-     [Univariate Data Series] [web server] [2010-10-19 15:51:23] [b98453cac15ba1066b407e146608df68]
- RMP   [Variance Reduction Matrix] [Pageviews] [2010-11-29 10:12:20] [b98453cac15ba1066b407e146608df68]
- RM      [Standard Deviation-Mean Plot] [Pageviews] [2010-11-29 11:10:57] [b98453cac15ba1066b407e146608df68]
-   PD        [Standard Deviation-Mean Plot] [SMP olieproductie LT] [2010-12-21 15:24:19] [8f110cf3e3846d42560df9b5835185a6] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113670&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113670&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	40925.8571428571	7011.5704239153	19040
2	59005	3499.76756371048	9664
3	59655.4285714286	3542.39344027654	9451
4	63563.5714285714	2203.1687677179	5311
5	69882.7142857143	2897.63166018306	7510
6	77753	3213.13611082174	7024

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 40925.8571428571 & 7011.5704239153 & 19040 \tabularnewline
2 & 59005 & 3499.76756371048 & 9664 \tabularnewline
3 & 59655.4285714286 & 3542.39344027654 & 9451 \tabularnewline
4 & 63563.5714285714 & 2203.1687677179 & 5311 \tabularnewline
5 & 69882.7142857143 & 2897.63166018306 & 7510 \tabularnewline
6 & 77753 & 3213.13611082174 & 7024 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113670&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]40925.8571428571[/C][C]7011.5704239153[/C][C]19040[/C][/ROW]
[ROW][C]2[/C][C]59005[/C][C]3499.76756371048[/C][C]9664[/C][/ROW]
[ROW][C]3[/C][C]59655.4285714286[/C][C]3542.39344027654[/C][C]9451[/C][/ROW]
[ROW][C]4[/C][C]63563.5714285714[/C][C]2203.1687677179[/C][C]5311[/C][/ROW]
[ROW][C]5[/C][C]69882.7142857143[/C][C]2897.63166018306[/C][C]7510[/C][/ROW]
[ROW][C]6[/C][C]77753[/C][C]3213.13611082174[/C][C]7024[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113670&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113670&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	40925.8571428571	7011.5704239153	19040
2	59005	3499.76756371048	9664
3	59655.4285714286	3542.39344027654	9451
4	63563.5714285714	2203.1687677179	5311
5	69882.7142857143	2897.63166018306	7510
6	77753	3213.13611082174	7024

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	10549.8356392255
beta	-0.110390880936997
S.D.	0.0392500225548654
T-STAT	-2.81250490449241
p-value	0.0481939508372858

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 10549.8356392255 \tabularnewline
beta & -0.110390880936997 \tabularnewline
S.D. & 0.0392500225548654 \tabularnewline
T-STAT & -2.81250490449241 \tabularnewline
p-value & 0.0481939508372858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113670&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10549.8356392255[/C][/ROW]
[ROW][C]beta[/C][C]-0.110390880936997[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0392500225548654[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.81250490449241[/C][/ROW]
[ROW][C]p-value[/C][C]0.0481939508372858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113670&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113670&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	10549.8356392255
beta	-0.110390880936997
S.D.	0.0392500225548654
T-STAT	-2.81250490449241
p-value	0.0481939508372858

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	23.9213870302502
beta	-1.43160008992462
S.D.	0.509144205273091
T-STAT	-2.81177724326008
p-value	0.0482296395513407
Lambda	2.43160008992462

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 23.9213870302502 \tabularnewline
beta & -1.43160008992462 \tabularnewline
S.D. & 0.509144205273091 \tabularnewline
T-STAT & -2.81177724326008 \tabularnewline
p-value & 0.0482296395513407 \tabularnewline
Lambda & 2.43160008992462 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113670&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23.9213870302502[/C][/ROW]
[ROW][C]beta[/C][C]-1.43160008992462[/C][/ROW]
[ROW][C]S.D.[/C][C]0.509144205273091[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.81177724326008[/C][/ROW]
[ROW][C]p-value[/C][C]0.0482296395513407[/C][/ROW]
[ROW][C]Lambda[/C][C]2.43160008992462[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113670&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113670&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	23.9213870302502
beta	-1.43160008992462
S.D.	0.509144205273091
T-STAT	-2.81177724326008
p-value	0.0482296395513407
Lambda	2.43160008992462

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

R code (references can be found in the software module):

par1 <- 7
(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