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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

Tue, 26 Jul 2011 10:30:01 -0400

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/Jul/26/t1311690687g8pf3wn12qxy74y.htm/, Retrieved Thu, 16 May 2024 18:38:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123153, Retrieved Thu, 16 May 2024 18:38:20 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Thomas Schroeven

Estimated Impact

185

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

-       [Standard Deviation-Mean Plot] [Tijdreeks 2 - Sta...] [2011-07-26 14:30:01] [1757923712b2aedbf315e1364d6f70a4] [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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123153&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123153&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123153&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1235.83333333333	106.212337353344	400
2	1216.66666666667	82.38858408711	280
3	1227.5	102.436232936309	340
4	1249.16666666667	188.267620608794	660
5	1227.5	171.311783811643	570
6	1207.5	184.101009823906	560
7	1209.16666666667	218.817413854704	710
8	1228.33333333333	253.729753633246	750
9	1227.5	232.38389085148	670

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1235.83333333333 & 106.212337353344 & 400 \tabularnewline
2 & 1216.66666666667 & 82.38858408711 & 280 \tabularnewline
3 & 1227.5 & 102.436232936309 & 340 \tabularnewline
4 & 1249.16666666667 & 188.267620608794 & 660 \tabularnewline
5 & 1227.5 & 171.311783811643 & 570 \tabularnewline
6 & 1207.5 & 184.101009823906 & 560 \tabularnewline
7 & 1209.16666666667 & 218.817413854704 & 710 \tabularnewline
8 & 1228.33333333333 & 253.729753633246 & 750 \tabularnewline
9 & 1227.5 & 232.38389085148 & 670 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123153&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]1235.83333333333[/C][C]106.212337353344[/C][C]400[/C][/ROW]
[ROW][C]2[/C][C]1216.66666666667[/C][C]82.38858408711[/C][C]280[/C][/ROW]
[ROW][C]3[/C][C]1227.5[/C][C]102.436232936309[/C][C]340[/C][/ROW]
[ROW][C]4[/C][C]1249.16666666667[/C][C]188.267620608794[/C][C]660[/C][/ROW]
[ROW][C]5[/C][C]1227.5[/C][C]171.311783811643[/C][C]570[/C][/ROW]
[ROW][C]6[/C][C]1207.5[/C][C]184.101009823906[/C][C]560[/C][/ROW]
[ROW][C]7[/C][C]1209.16666666667[/C][C]218.817413854704[/C][C]710[/C][/ROW]
[ROW][C]8[/C][C]1228.33333333333[/C][C]253.729753633246[/C][C]750[/C][/ROW]
[ROW][C]9[/C][C]1227.5[/C][C]232.38389085148[/C][C]670[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123153&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123153&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	1235.83333333333	106.212337353344	400
2	1216.66666666667	82.38858408711	280
3	1227.5	102.436232936309	340
4	1249.16666666667	188.267620608794	660
5	1227.5	171.311783811643	570
6	1207.5	184.101009823906	560
7	1209.16666666667	218.817413854704	710
8	1228.33333333333	253.729753633246	750
9	1227.5	232.38389085148	670

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	418.945569852201
beta	-0.202269271027663
S.D.	1.77986641640666
T-STAT	-0.113642950483903
p-value	0.912711530132129

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 418.945569852201 \tabularnewline
beta & -0.202269271027663 \tabularnewline
S.D. & 1.77986641640666 \tabularnewline
T-STAT & -0.113642950483903 \tabularnewline
p-value & 0.912711530132129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123153&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]418.945569852201[/C][/ROW]
[ROW][C]beta[/C][C]-0.202269271027663[/C][/ROW]
[ROW][C]S.D.[/C][C]1.77986641640666[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.113642950483903[/C][/ROW]
[ROW][C]p-value[/C][C]0.912711530132129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123153&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123153&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	418.945569852201
beta	-0.202269271027663
S.D.	1.77986641640666
T-STAT	-0.113642950483903
p-value	0.912711530132129

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	10.9643581767591
beta	-0.828187713925281
S.D.	14.3981513731314
T-STAT	-0.0575204199804965
p-value	0.955738152147782
Lambda	1.82818771392528

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.9643581767591 \tabularnewline
beta & -0.828187713925281 \tabularnewline
S.D. & 14.3981513731314 \tabularnewline
T-STAT & -0.0575204199804965 \tabularnewline
p-value & 0.955738152147782 \tabularnewline
Lambda & 1.82818771392528 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123153&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.9643581767591[/C][/ROW]
[ROW][C]beta[/C][C]-0.828187713925281[/C][/ROW]
[ROW][C]S.D.[/C][C]14.3981513731314[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0575204199804965[/C][/ROW]
[ROW][C]p-value[/C][C]0.955738152147782[/C][/ROW]
[ROW][C]Lambda[/C][C]1.82818771392528[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123153&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123153&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	10.9643581767591
beta	-0.828187713925281
S.D.	14.3981513731314
T-STAT	-0.0575204199804965
p-value	0.955738152147782
Lambda	1.82818771392528

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