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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 10 Aug 2016 18:38:51 +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/10/t14708507692sy9r99ey8fboxu.htm/, Retrieved Tue, 30 Apr 2024 04:12:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296234, Retrieved Tue, 30 Apr 2024 04:12:31 +0000

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

-       [Standard Deviation-Mean Plot] [] [2016-08-10 17:38:51] [808bf237864283e5d6c581b9d5be65c1] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296234&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296234&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296234&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	36328.8333333333	641.565108059025	1910
2	34672.5833333333	1227.93177618697	3391
3	31912.5833333333	1574.76800359657	3975
4	27924.1666666667	2144.74494492652	5593
5	24943	1627.74093315077	5151
6	22201.3333333333	1958.40627846092	5593
7	18820.3333333333	2323.34677618823	6697
8	14987.0833333333	2065.56593426302	6106
9	10686.0833333333	3110.83474498503	8541
10	6141	2334.22862477677	6775

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 36328.8333333333 & 641.565108059025 & 1910 \tabularnewline
2 & 34672.5833333333 & 1227.93177618697 & 3391 \tabularnewline
3 & 31912.5833333333 & 1574.76800359657 & 3975 \tabularnewline
4 & 27924.1666666667 & 2144.74494492652 & 5593 \tabularnewline
5 & 24943 & 1627.74093315077 & 5151 \tabularnewline
6 & 22201.3333333333 & 1958.40627846092 & 5593 \tabularnewline
7 & 18820.3333333333 & 2323.34677618823 & 6697 \tabularnewline
8 & 14987.0833333333 & 2065.56593426302 & 6106 \tabularnewline
9 & 10686.0833333333 & 3110.83474498503 & 8541 \tabularnewline
10 & 6141 & 2334.22862477677 & 6775 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296234&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]36328.8333333333[/C][C]641.565108059025[/C][C]1910[/C][/ROW]
[ROW][C]2[/C][C]34672.5833333333[/C][C]1227.93177618697[/C][C]3391[/C][/ROW]
[ROW][C]3[/C][C]31912.5833333333[/C][C]1574.76800359657[/C][C]3975[/C][/ROW]
[ROW][C]4[/C][C]27924.1666666667[/C][C]2144.74494492652[/C][C]5593[/C][/ROW]
[ROW][C]5[/C][C]24943[/C][C]1627.74093315077[/C][C]5151[/C][/ROW]
[ROW][C]6[/C][C]22201.3333333333[/C][C]1958.40627846092[/C][C]5593[/C][/ROW]
[ROW][C]7[/C][C]18820.3333333333[/C][C]2323.34677618823[/C][C]6697[/C][/ROW]
[ROW][C]8[/C][C]14987.0833333333[/C][C]2065.56593426302[/C][C]6106[/C][/ROW]
[ROW][C]9[/C][C]10686.0833333333[/C][C]3110.83474498503[/C][C]8541[/C][/ROW]
[ROW][C]10[/C][C]6141[/C][C]2334.22862477677[/C][C]6775[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296234&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296234&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	36328.8333333333	641.565108059025	1910
2	34672.5833333333	1227.93177618697	3391
3	31912.5833333333	1574.76800359657	3975
4	27924.1666666667	2144.74494492652	5593
5	24943	1627.74093315077	5151
6	22201.3333333333	1958.40627846092	5593
7	18820.3333333333	2323.34677618823	6697
8	14987.0833333333	2065.56593426302	6106
9	10686.0833333333	3110.83474498503	8541
10	6141	2334.22862477677	6775

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	3171.66880384113
beta	-0.0555844705941267
S.D.	0.012833207366782
T-STAT	-4.33129996309447
p-value	0.00250758677758254

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3171.66880384113 \tabularnewline
beta & -0.0555844705941267 \tabularnewline
S.D. & 0.012833207366782 \tabularnewline
T-STAT & -4.33129996309447 \tabularnewline
p-value & 0.00250758677758254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296234&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3171.66880384113[/C][/ROW]
[ROW][C]beta[/C][C]-0.0555844705941267[/C][/ROW]
[ROW][C]S.D.[/C][C]0.012833207366782[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.33129996309447[/C][/ROW]
[ROW][C]p-value[/C][C]0.00250758677758254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296234&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296234&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	3171.66880384113
beta	-0.0555844705941267
S.D.	0.012833207366782
T-STAT	-4.33129996309447
p-value	0.00250758677758254

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	12.7257003858465
beta	-0.529397683845873
S.D.	0.196800332798488
T-STAT	-2.69002433236708
p-value	0.0274955988476921
Lambda	1.52939768384587

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 12.7257003858465 \tabularnewline
beta & -0.529397683845873 \tabularnewline
S.D. & 0.196800332798488 \tabularnewline
T-STAT & -2.69002433236708 \tabularnewline
p-value & 0.0274955988476921 \tabularnewline
Lambda & 1.52939768384587 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296234&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.7257003858465[/C][/ROW]
[ROW][C]beta[/C][C]-0.529397683845873[/C][/ROW]
[ROW][C]S.D.[/C][C]0.196800332798488[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.69002433236708[/C][/ROW]
[ROW][C]p-value[/C][C]0.0274955988476921[/C][/ROW]
[ROW][C]Lambda[/C][C]1.52939768384587[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296234&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296234&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	12.7257003858465
beta	-0.529397683845873
S.D.	0.196800332798488
T-STAT	-2.69002433236708
p-value	0.0274955988476921
Lambda	1.52939768384587

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