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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 13 Aug 2016 13:27:53 +0100

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/2016/Aug/13/t1471091300g1ep2uyhbl9p10w.htm/, Retrieved Wed, 01 May 2024 15:01:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296512, Retrieved Wed, 01 May 2024 15:01:35 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

169

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

-     [Univariate Data Series] [] [2016-08-13 09:35:09] [74be16979710d4c4e7c6647856088456]
- RMP     [Standard Deviation-Mean Plot] [] [2016-08-13 12:27:53] [d41d8cd98f00b204e9800998ecf8427e] [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	1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296512&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296512&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296512&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' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	29437.25	82.2116171839479	251
2	29711.5833333333	82.5375488471579	251
3	29985.5833333333	82.1865487040233	250
4	30259.25	82.2116171839479	251
5	30532.9166666667	82.36223575637	251
6	30807.4166666667	82.4372580521181	251
7	31081.25	82.2116171839479	251
8	31354.9166666667	82.36223575637	251
9	31628.75	82.2867768014013	250

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 29437.25 & 82.2116171839479 & 251 \tabularnewline
2 & 29711.5833333333 & 82.5375488471579 & 251 \tabularnewline
3 & 29985.5833333333 & 82.1865487040233 & 250 \tabularnewline
4 & 30259.25 & 82.2116171839479 & 251 \tabularnewline
5 & 30532.9166666667 & 82.36223575637 & 251 \tabularnewline
6 & 30807.4166666667 & 82.4372580521181 & 251 \tabularnewline
7 & 31081.25 & 82.2116171839479 & 251 \tabularnewline
8 & 31354.9166666667 & 82.36223575637 & 251 \tabularnewline
9 & 31628.75 & 82.2867768014013 & 250 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296512&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]29437.25[/C][C]82.2116171839479[/C][C]251[/C][/ROW]
[ROW][C]2[/C][C]29711.5833333333[/C][C]82.5375488471579[/C][C]251[/C][/ROW]
[ROW][C]3[/C][C]29985.5833333333[/C][C]82.1865487040233[/C][C]250[/C][/ROW]
[ROW][C]4[/C][C]30259.25[/C][C]82.2116171839479[/C][C]251[/C][/ROW]
[ROW][C]5[/C][C]30532.9166666667[/C][C]82.36223575637[/C][C]251[/C][/ROW]
[ROW][C]6[/C][C]30807.4166666667[/C][C]82.4372580521181[/C][C]251[/C][/ROW]
[ROW][C]7[/C][C]31081.25[/C][C]82.2116171839479[/C][C]251[/C][/ROW]
[ROW][C]8[/C][C]31354.9166666667[/C][C]82.36223575637[/C][C]251[/C][/ROW]
[ROW][C]9[/C][C]31628.75[/C][C]82.2867768014013[/C][C]250[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296512&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296512&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	29437.25	82.2116171839479	251
2	29711.5833333333	82.5375488471579	251
3	29985.5833333333	82.1865487040233	250
4	30259.25	82.2116171839479	251
5	30532.9166666667	82.36223575637	251
6	30807.4166666667	82.4372580521181	251
7	31081.25	82.2116171839479	251
8	31354.9166666667	82.36223575637	251
9	31628.75	82.2867768014013	250

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	82.2179135019348
beta	3.07946611338806e-06
S.D.	6.12348543089093e-05
T-STAT	0.0502894331691097
p-value	0.961296639363956

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 82.2179135019348 \tabularnewline
beta & 3.07946611338806e-06 \tabularnewline
S.D. & 6.12348543089093e-05 \tabularnewline
T-STAT & 0.0502894331691097 \tabularnewline
p-value & 0.961296639363956 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296512&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]82.2179135019348[/C][/ROW]
[ROW][C]beta[/C][C]3.07946611338806e-06[/C][/ROW]
[ROW][C]S.D.[/C][C]6.12348543089093e-05[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0502894331691097[/C][/ROW]
[ROW][C]p-value[/C][C]0.961296639363956[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296512&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296512&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	82.2179135019348
beta	3.07946611338806e-06
S.D.	6.12348543089093e-05
T-STAT	0.0502894331691097
p-value	0.961296639363956

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.39803641018906
beta	0.00120844724472869
S.D.	0.0226957257216156
T-STAT	0.0532455872771565
p-value	0.959023934511366
Lambda	0.998791552755271

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.39803641018906 \tabularnewline
beta & 0.00120844724472869 \tabularnewline
S.D. & 0.0226957257216156 \tabularnewline
T-STAT & 0.0532455872771565 \tabularnewline
p-value & 0.959023934511366 \tabularnewline
Lambda & 0.998791552755271 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296512&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.39803641018906[/C][/ROW]
[ROW][C]beta[/C][C]0.00120844724472869[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0226957257216156[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0532455872771565[/C][/ROW]
[ROW][C]p-value[/C][C]0.959023934511366[/C][/ROW]
[ROW][C]Lambda[/C][C]0.998791552755271[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296512&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296512&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	4.39803641018906
beta	0.00120844724472869
S.D.	0.0226957257216156
T-STAT	0.0532455872771565
p-value	0.959023934511366
Lambda	0.998791552755271

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