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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

Sun, 23 Nov 2014 15:07:01 +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/2014/Nov/23/t1416755258dv5jgepv2ob6sfs.htm/, Retrieved Sun, 19 May 2024 14:32:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258022, Retrieved Sun, 19 May 2024 14:32:44 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2014-11-23 15:07:01] [56e8cb9ede54fa5ca6b1344bd59af70d] [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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258022&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258022&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258022&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7054.75	2357.69082424462	10174
2	4273.33333333333	1855.87432633557	7966
3	4134.16666666667	1092.31396030573	4520
4	4887.91666666667	1383.20566132269	5998
5	4712.83333333333	1602.13805064774	6887
6	4213.33333333333	988.952185013221	4121

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7054.75 & 2357.69082424462 & 10174 \tabularnewline
2 & 4273.33333333333 & 1855.87432633557 & 7966 \tabularnewline
3 & 4134.16666666667 & 1092.31396030573 & 4520 \tabularnewline
4 & 4887.91666666667 & 1383.20566132269 & 5998 \tabularnewline
5 & 4712.83333333333 & 1602.13805064774 & 6887 \tabularnewline
6 & 4213.33333333333 & 988.952185013221 & 4121 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258022&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]7054.75[/C][C]2357.69082424462[/C][C]10174[/C][/ROW]
[ROW][C]2[/C][C]4273.33333333333[/C][C]1855.87432633557[/C][C]7966[/C][/ROW]
[ROW][C]3[/C][C]4134.16666666667[/C][C]1092.31396030573[/C][C]4520[/C][/ROW]
[ROW][C]4[/C][C]4887.91666666667[/C][C]1383.20566132269[/C][C]5998[/C][/ROW]
[ROW][C]5[/C][C]4712.83333333333[/C][C]1602.13805064774[/C][C]6887[/C][/ROW]
[ROW][C]6[/C][C]4213.33333333333[/C][C]988.952185013221[/C][C]4121[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258022&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258022&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	7054.75	2357.69082424462	10174
2	4273.33333333333	1855.87432633557	7966
3	4134.16666666667	1092.31396030573	4520
4	4887.91666666667	1383.20566132269	5998
5	4712.83333333333	1602.13805064774	6887
6	4213.33333333333	988.952185013221	4121

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-266.302082577294
beta	0.371562496555808
S.D.	0.136241489370759
T-STAT	2.72723454706708
p-value	0.0525927333952757

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -266.302082577294 \tabularnewline
beta & 0.371562496555808 \tabularnewline
S.D. & 0.136241489370759 \tabularnewline
T-STAT & 2.72723454706708 \tabularnewline
p-value & 0.0525927333952757 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258022&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-266.302082577294[/C][/ROW]
[ROW][C]beta[/C][C]0.371562496555808[/C][/ROW]
[ROW][C]S.D.[/C][C]0.136241489370759[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.72723454706708[/C][/ROW]
[ROW][C]p-value[/C][C]0.0525927333952757[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258022&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258022&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	-266.302082577294
beta	0.371562496555808
S.D.	0.136241489370759
T-STAT	2.72723454706708
p-value	0.0525927333952757

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.12858951372081
beta	1.23049079802527
S.D.	0.531830561619014
T-STAT	2.31368952224064
p-value	0.0817005637818567
Lambda	-0.23049079802527

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.12858951372081 \tabularnewline
beta & 1.23049079802527 \tabularnewline
S.D. & 0.531830561619014 \tabularnewline
T-STAT & 2.31368952224064 \tabularnewline
p-value & 0.0817005637818567 \tabularnewline
Lambda & -0.23049079802527 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258022&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.12858951372081[/C][/ROW]
[ROW][C]beta[/C][C]1.23049079802527[/C][/ROW]
[ROW][C]S.D.[/C][C]0.531830561619014[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.31368952224064[/C][/ROW]
[ROW][C]p-value[/C][C]0.0817005637818567[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.23049079802527[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258022&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258022&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	-3.12858951372081
beta	1.23049079802527
S.D.	0.531830561619014
T-STAT	2.31368952224064
p-value	0.0817005637818567
Lambda	-0.23049079802527

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code