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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, 29 Apr 2014 09:56:34 -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/2014/Apr/29/t1398779804trljia8hyjmqssw.htm/, Retrieved Fri, 17 May 2024 04:19:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234738, Retrieved Fri, 17 May 2024 04:19:04 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

174

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

-       [Standard Deviation-Mean Plot] [] [2014-04-29 13:56:34] [e610340e7a3184c9e0a1f377a12e8a83] [Current]

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Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234738&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234738&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234738&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	2 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2944.16666666667	741.483136979016	2362
2	3132.83333333333	723.225079177648	2522
3	3113.83333333333	1194.24657369736	4368
4	3124.83333333333	804.108861166236	2588
5	3302.75	883.85304465474	2634
6	3424.58333333333	922.055653845189	2780

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2944.16666666667 & 741.483136979016 & 2362 \tabularnewline
2 & 3132.83333333333 & 723.225079177648 & 2522 \tabularnewline
3 & 3113.83333333333 & 1194.24657369736 & 4368 \tabularnewline
4 & 3124.83333333333 & 804.108861166236 & 2588 \tabularnewline
5 & 3302.75 & 883.85304465474 & 2634 \tabularnewline
6 & 3424.58333333333 & 922.055653845189 & 2780 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234738&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]2944.16666666667[/C][C]741.483136979016[/C][C]2362[/C][/ROW]
[ROW][C]2[/C][C]3132.83333333333[/C][C]723.225079177648[/C][C]2522[/C][/ROW]
[ROW][C]3[/C][C]3113.83333333333[/C][C]1194.24657369736[/C][C]4368[/C][/ROW]
[ROW][C]4[/C][C]3124.83333333333[/C][C]804.108861166236[/C][C]2588[/C][/ROW]
[ROW][C]5[/C][C]3302.75[/C][C]883.85304465474[/C][C]2634[/C][/ROW]
[ROW][C]6[/C][C]3424.58333333333[/C][C]922.055653845189[/C][C]2780[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234738&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234738&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	2944.16666666667	741.483136979016	2362
2	3132.83333333333	723.225079177648	2522
3	3113.83333333333	1194.24657369736	4368
4	3124.83333333333	804.108861166236	2588
5	3302.75	883.85304465474	2634
6	3424.58333333333	922.055653845189	2780

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	103.630873780984
beta	0.244036501960525
S.D.	0.503173945395033
T-STAT	0.484994312988398
p-value	0.653043914867701

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 103.630873780984 \tabularnewline
beta & 0.244036501960525 \tabularnewline
S.D. & 0.503173945395033 \tabularnewline
T-STAT & 0.484994312988398 \tabularnewline
p-value & 0.653043914867701 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234738&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]103.630873780984[/C][/ROW]
[ROW][C]beta[/C][C]0.244036501960525[/C][/ROW]
[ROW][C]S.D.[/C][C]0.503173945395033[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.484994312988398[/C][/ROW]
[ROW][C]p-value[/C][C]0.653043914867701[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234738&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234738&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	103.630873780984
beta	0.244036501960525
S.D.	0.503173945395033
T-STAT	0.484994312988398
p-value	0.653043914867701

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.77927993922874
beta	1.05963886886168
S.D.	1.67288046134272
T-STAT	0.633421749699423
p-value	0.5608672183393
Lambda	-0.059638868861684

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.77927993922874 \tabularnewline
beta & 1.05963886886168 \tabularnewline
S.D. & 1.67288046134272 \tabularnewline
T-STAT & 0.633421749699423 \tabularnewline
p-value & 0.5608672183393 \tabularnewline
Lambda & -0.059638868861684 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234738&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.77927993922874[/C][/ROW]
[ROW][C]beta[/C][C]1.05963886886168[/C][/ROW]
[ROW][C]S.D.[/C][C]1.67288046134272[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.633421749699423[/C][/ROW]
[ROW][C]p-value[/C][C]0.5608672183393[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.059638868861684[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234738&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234738&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	-1.77927993922874
beta	1.05963886886168
S.D.	1.67288046134272
T-STAT	0.633421749699423
p-value	0.5608672183393
Lambda	-0.059638868861684

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