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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

Sun, 15 Dec 2013 08:07:07 -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/2013/Dec/15/t138711291240f7ghym0qbkz7n.htm/, Retrieved Tue, 30 Apr 2024 10:47:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232348, Retrieved Tue, 30 Apr 2024 10:47:55 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

194

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

-     [(Partial) Autocorrelation Function] [Wine sales - ACF] [2013-12-15 12:41:55] [e1b6e5c15a370139a1f66dc7648af660]
- RMP     [Standard Deviation-Mean Plot] [Wine sales - SMP] [2013-12-15 13:07:07] [e87fe8ad852a0fa5d933f43041f410cc] [Current]

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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	3 seconds
R Server	'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232348&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232348&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232348&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2853.91666666667	674.22190282015	2055
2	3065.16666666667	629.020715561944	2047
3	3078.75	453.654479051664	1417
4	3007.75	538.718702950891	1600
5	2985.16666666667	662.743174353018	1963

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2853.91666666667 & 674.22190282015 & 2055 \tabularnewline
2 & 3065.16666666667 & 629.020715561944 & 2047 \tabularnewline
3 & 3078.75 & 453.654479051664 & 1417 \tabularnewline
4 & 3007.75 & 538.718702950891 & 1600 \tabularnewline
5 & 2985.16666666667 & 662.743174353018 & 1963 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232348&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]2853.91666666667[/C][C]674.22190282015[/C][C]2055[/C][/ROW]
[ROW][C]2[/C][C]3065.16666666667[/C][C]629.020715561944[/C][C]2047[/C][/ROW]
[ROW][C]3[/C][C]3078.75[/C][C]453.654479051664[/C][C]1417[/C][/ROW]
[ROW][C]4[/C][C]3007.75[/C][C]538.718702950891[/C][C]1600[/C][/ROW]
[ROW][C]5[/C][C]2985.16666666667[/C][C]662.743174353018[/C][C]1963[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232348&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232348&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	2853.91666666667	674.22190282015	2055
2	3065.16666666667	629.020715561944	2047
3	3078.75	453.654479051664	1417
4	3007.75	538.718702950891	1600
5	2985.16666666667	662.743174353018	1963

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2645.726041304
beta	-0.685107231578294
S.D.	0.456857578439944
T-STAT	-1.49960789512952
p-value	0.230678004973262

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2645.726041304 \tabularnewline
beta & -0.685107231578294 \tabularnewline
S.D. & 0.456857578439944 \tabularnewline
T-STAT & -1.49960789512952 \tabularnewline
p-value & 0.230678004973262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232348&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2645.726041304[/C][/ROW]
[ROW][C]beta[/C][C]-0.685107231578294[/C][/ROW]
[ROW][C]S.D.[/C][C]0.456857578439944[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.49960789512952[/C][/ROW]
[ROW][C]p-value[/C][C]0.230678004973262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232348&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232348&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	2645.726041304
beta	-0.685107231578294
S.D.	0.456857578439944
T-STAT	-1.49960789512952
p-value	0.230678004973262

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	34.7491553145522
beta	-3.54474082572172
S.D.	2.46465766883182
T-STAT	-1.43822846902784
p-value	0.245945894877785
Lambda	4.54474082572172

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 34.7491553145522 \tabularnewline
beta & -3.54474082572172 \tabularnewline
S.D. & 2.46465766883182 \tabularnewline
T-STAT & -1.43822846902784 \tabularnewline
p-value & 0.245945894877785 \tabularnewline
Lambda & 4.54474082572172 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232348&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]34.7491553145522[/C][/ROW]
[ROW][C]beta[/C][C]-3.54474082572172[/C][/ROW]
[ROW][C]S.D.[/C][C]2.46465766883182[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.43822846902784[/C][/ROW]
[ROW][C]p-value[/C][C]0.245945894877785[/C][/ROW]
[ROW][C]Lambda[/C][C]4.54474082572172[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232348&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232348&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	34.7491553145522
beta	-3.54474082572172
S.D.	2.46465766883182
T-STAT	-1.43822846902784
p-value	0.245945894877785
Lambda	4.54474082572172

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