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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

Sat, 18 Dec 2010 16:54:56 +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/18/t1292691914stubu7g17632wfr.htm/, Retrieved Tue, 30 Apr 2024 03:29:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112112, Retrieved Tue, 30 Apr 2024 03:29:39 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

137

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD      [Standard Deviation-Mean Plot] [Paper - Stationar...] [2010-12-18 16:54:56] [ffc0b3af89e3f152a248771909785efd] [Current]
-             [Standard Deviation-Mean Plot] [Paper 'stationari...] [2010-12-28 18:29:12] [40c8b935cbad1b0be3c22a481f9723f7] 
-             [Standard Deviation-Mean Plot] [paper (10)] [2010-12-29 19:14:50] [34b8ec63a78ce61b49b6bd4fc5a61e1c] 

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Dataseries X:

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Histogram

Boxplots

9.3
14.2
17.3
23
16.3
18.4
14.2
9.1
5.9
7.2
6.8
8
14.3
14.6
17.5
17.2
17.2
14.1
10.4
6.8
4.1
6.5
6.1
6.3
9.3
16.4
16.1
18
17.6
14
10.5
6.9
2.8
0.7
3.6
6.7
12.5
14.4
16.5
18.7
19.4
15.8
11.3
9.7
2.9
0.1
2.5
6.7
10.3
11.2
17.4
20.5
17
14.2
10.6
6.1

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=112112&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=112112&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112112&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	12.475	5.51446445104311	17.1
2	11.2583333333333	5.07891511918429	13.4
3	10.2166666666667	6.14888509233893	17.3
4	10.875	6.56230627419687	19.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 12.475 & 5.51446445104311 & 17.1 \tabularnewline
2 & 11.2583333333333 & 5.07891511918429 & 13.4 \tabularnewline
3 & 10.2166666666667 & 6.14888509233893 & 17.3 \tabularnewline
4 & 10.875 & 6.56230627419687 & 19.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112112&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]12.475[/C][C]5.51446445104311[/C][C]17.1[/C][/ROW]
[ROW][C]2[/C][C]11.2583333333333[/C][C]5.07891511918429[/C][C]13.4[/C][/ROW]
[ROW][C]3[/C][C]10.2166666666667[/C][C]6.14888509233893[/C][C]17.3[/C][/ROW]
[ROW][C]4[/C][C]10.875[/C][C]6.56230627419687[/C][C]19.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112112&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112112&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	12.475	5.51446445104311	17.1
2	11.2583333333333	5.07891511918429	13.4
3	10.2166666666667	6.14888509233893	17.3
4	10.875	6.56230627419687	19.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	9.96441343099752
beta	-0.369282382314041
S.D.	0.415598626131484
T-STAT	-0.888555349067037
p-value	0.467991072542668

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.96441343099752 \tabularnewline
beta & -0.369282382314041 \tabularnewline
S.D. & 0.415598626131484 \tabularnewline
T-STAT & -0.888555349067037 \tabularnewline
p-value & 0.467991072542668 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112112&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.96441343099752[/C][/ROW]
[ROW][C]beta[/C][C]-0.369282382314041[/C][/ROW]
[ROW][C]S.D.[/C][C]0.415598626131484[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.888555349067037[/C][/ROW]
[ROW][C]p-value[/C][C]0.467991072542668[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112112&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112112&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	9.96441343099752
beta	-0.369282382314041
S.D.	0.415598626131484
T-STAT	-0.888555349067037
p-value	0.467991072542668

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	3.50228000129247
beta	-0.722817401929586
S.D.	0.815977841395968
T-STAT	-0.88582969445959
p-value	0.469162646149053
Lambda	1.72281740192959

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.50228000129247 \tabularnewline
beta & -0.722817401929586 \tabularnewline
S.D. & 0.815977841395968 \tabularnewline
T-STAT & -0.88582969445959 \tabularnewline
p-value & 0.469162646149053 \tabularnewline
Lambda & 1.72281740192959 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112112&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.50228000129247[/C][/ROW]
[ROW][C]beta[/C][C]-0.722817401929586[/C][/ROW]
[ROW][C]S.D.[/C][C]0.815977841395968[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.88582969445959[/C][/ROW]
[ROW][C]p-value[/C][C]0.469162646149053[/C][/ROW]
[ROW][C]Lambda[/C][C]1.72281740192959[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112112&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112112&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	3.50228000129247
beta	-0.722817401929586
S.D.	0.815977841395968
T-STAT	-0.88582969445959
p-value	0.469162646149053
Lambda	1.72281740192959

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