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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, 20 Aug 2013 23:10:55 -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/2013/Aug/20/t1377055601bf78ky7oa0dy91z.htm/, Retrieved Sat, 27 Apr 2024 06:18:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211281, Retrieved Sat, 27 Apr 2024 06:18:41 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Raedts Mathias

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Tijdreeks A - Sta...] [2013-08-21 03:10:55] [e2e43c39163d7563005e2a800525cced] [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	'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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211281&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211281&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211281&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	56928.3333333333	11406.5529438392	33936
2	64676.6666666667	14120.4455076082	45724
3	80812.3333333333	18894.6536706374	62828
4	107847.666666667	17299.991840951	65492
5	131418	18062.7475610591	65476
6	131957.333333333	18458.8235483164	61544
7	131302.666666667	17416.1502756563	61424
8	145592.666666667	19521.1049488558	75876
9	153454.333333333	23323.1047649919	86364
10	162268.333333333	21038.3038692992	70664

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 56928.3333333333 & 11406.5529438392 & 33936 \tabularnewline
2 & 64676.6666666667 & 14120.4455076082 & 45724 \tabularnewline
3 & 80812.3333333333 & 18894.6536706374 & 62828 \tabularnewline
4 & 107847.666666667 & 17299.991840951 & 65492 \tabularnewline
5 & 131418 & 18062.7475610591 & 65476 \tabularnewline
6 & 131957.333333333 & 18458.8235483164 & 61544 \tabularnewline
7 & 131302.666666667 & 17416.1502756563 & 61424 \tabularnewline
8 & 145592.666666667 & 19521.1049488558 & 75876 \tabularnewline
9 & 153454.333333333 & 23323.1047649919 & 86364 \tabularnewline
10 & 162268.333333333 & 21038.3038692992 & 70664 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211281&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]56928.3333333333[/C][C]11406.5529438392[/C][C]33936[/C][/ROW]
[ROW][C]2[/C][C]64676.6666666667[/C][C]14120.4455076082[/C][C]45724[/C][/ROW]
[ROW][C]3[/C][C]80812.3333333333[/C][C]18894.6536706374[/C][C]62828[/C][/ROW]
[ROW][C]4[/C][C]107847.666666667[/C][C]17299.991840951[/C][C]65492[/C][/ROW]
[ROW][C]5[/C][C]131418[/C][C]18062.7475610591[/C][C]65476[/C][/ROW]
[ROW][C]6[/C][C]131957.333333333[/C][C]18458.8235483164[/C][C]61544[/C][/ROW]
[ROW][C]7[/C][C]131302.666666667[/C][C]17416.1502756563[/C][C]61424[/C][/ROW]
[ROW][C]8[/C][C]145592.666666667[/C][C]19521.1049488558[/C][C]75876[/C][/ROW]
[ROW][C]9[/C][C]153454.333333333[/C][C]23323.1047649919[/C][C]86364[/C][/ROW]
[ROW][C]10[/C][C]162268.333333333[/C][C]21038.3038692992[/C][C]70664[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211281&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211281&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	56928.3333333333	11406.5529438392	33936
2	64676.6666666667	14120.4455076082	45724
3	80812.3333333333	18894.6536706374	62828
4	107847.666666667	17299.991840951	65492
5	131418	18062.7475610591	65476
6	131957.333333333	18458.8235483164	61544
7	131302.666666667	17416.1502756563	61424
8	145592.666666667	19521.1049488558	75876
9	153454.333333333	23323.1047649919	86364
10	162268.333333333	21038.3038692992	70664

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	9163.9062249573
beta	0.0753716515194388
S.D.	0.0169291902138178
T-STAT	4.45217110608866
p-value	0.00213313507645315

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9163.9062249573 \tabularnewline
beta & 0.0753716515194388 \tabularnewline
S.D. & 0.0169291902138178 \tabularnewline
T-STAT & 4.45217110608866 \tabularnewline
p-value & 0.00213313507645315 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211281&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9163.9062249573[/C][/ROW]
[ROW][C]beta[/C][C]0.0753716515194388[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0169291902138178[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.45217110608866[/C][/ROW]
[ROW][C]p-value[/C][C]0.00213313507645315[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211281&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211281&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	9163.9062249573
beta	0.0753716515194388
S.D.	0.0169291902138178
T-STAT	4.45217110608866
p-value	0.00213313507645315

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.33939155835027
beta	0.468453961525005
S.D.	0.0964665506847875
T-STAT	4.85612845281176
p-value	0.00126199092221765
Lambda	0.531546038474995

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.33939155835027 \tabularnewline
beta & 0.468453961525005 \tabularnewline
S.D. & 0.0964665506847875 \tabularnewline
T-STAT & 4.85612845281176 \tabularnewline
p-value & 0.00126199092221765 \tabularnewline
Lambda & 0.531546038474995 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211281&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.33939155835027[/C][/ROW]
[ROW][C]beta[/C][C]0.468453961525005[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0964665506847875[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.85612845281176[/C][/ROW]
[ROW][C]p-value[/C][C]0.00126199092221765[/C][/ROW]
[ROW][C]Lambda[/C][C]0.531546038474995[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211281&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211281&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	4.33939155835027
beta	0.468453961525005
S.D.	0.0964665506847875
T-STAT	4.85612845281176
p-value	0.00126199092221765
Lambda	0.531546038474995

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 22 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

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