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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, 27 Nov 2007 03:03:19 -0700

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/2007/Nov/27/t1196157247qxnlze88f2gk5z0.htm/, Retrieved Sun, 05 May 2024 14:21:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6786, Retrieved Sun, 05 May 2024 14:21:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

groep MENS

Estimated Impact

196

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

-       [Standard Deviation-Mean Plot] [textiel_Q1] [2007-11-27 10:03:19] [68ccea1ea79fa519d33f2664ba3973dd] [Current]

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Histogram

Boxplots

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6786&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6786&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6786&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	99.6916666666667	0.314666730867996	3.09999999999999
2	99.9333333333333	0.349891758154208	3.80000000000001
3	99.8083333333333	0.46992907266239	3.59999999999999
4	98.9416666666667	1.31249819624696	3.3
5	97.2916666666667	0.969027941555428	2
6	100.625	1.19020624645097	3.90000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.6916666666667 & 0.314666730867996 & 3.09999999999999 \tabularnewline
2 & 99.9333333333333 & 0.349891758154208 & 3.80000000000001 \tabularnewline
3 & 99.8083333333333 & 0.46992907266239 & 3.59999999999999 \tabularnewline
4 & 98.9416666666667 & 1.31249819624696 & 3.3 \tabularnewline
5 & 97.2916666666667 & 0.969027941555428 & 2 \tabularnewline
6 & 100.625 & 1.19020624645097 & 3.90000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6786&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]99.6916666666667[/C][C]0.314666730867996[/C][C]3.09999999999999[/C][/ROW]
[ROW][C]2[/C][C]99.9333333333333[/C][C]0.349891758154208[/C][C]3.80000000000001[/C][/ROW]
[ROW][C]3[/C][C]99.8083333333333[/C][C]0.46992907266239[/C][C]3.59999999999999[/C][/ROW]
[ROW][C]4[/C][C]98.9416666666667[/C][C]1.31249819624696[/C][C]3.3[/C][/ROW]
[ROW][C]5[/C][C]97.2916666666667[/C][C]0.969027941555428[/C][C]2[/C][/ROW]
[ROW][C]6[/C][C]100.625[/C][C]1.19020624645097[/C][C]3.90000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6786&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6786&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	99.6916666666667	0.314666730867996	3.09999999999999
2	99.9333333333333	0.349891758154208	3.80000000000001
3	99.8083333333333	0.46992907266239	3.59999999999999
4	98.9416666666667	1.31249819624696	3.3
5	97.2916666666667	0.969027941555428	2
6	100.625	1.19020624645097	3.90000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	10.1732633662902
beta	-0.0946405314823056
S.D.	0.185859437598489
T-STAT	-0.509204873883008
p-value	0.637413322839219

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 10.1732633662902 \tabularnewline
beta & -0.0946405314823056 \tabularnewline
S.D. & 0.185859437598489 \tabularnewline
T-STAT & -0.509204873883008 \tabularnewline
p-value & 0.637413322839219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6786&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.1732633662902[/C][/ROW]
[ROW][C]beta[/C][C]-0.0946405314823056[/C][/ROW]
[ROW][C]S.D.[/C][C]0.185859437598489[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.509204873883008[/C][/ROW]
[ROW][C]p-value[/C][C]0.637413322839219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6786&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6786&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	10.1732633662902
beta	-0.0946405314823056
S.D.	0.185859437598489
T-STAT	-0.509204873883008
p-value	0.637413322839219

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	74.5345602770658
beta	-16.2992955117747
S.D.	26.0052009791574
T-STAT	-0.626770603497286
p-value	0.564804631642622
Lambda	17.2992955117747

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 74.5345602770658 \tabularnewline
beta & -16.2992955117747 \tabularnewline
S.D. & 26.0052009791574 \tabularnewline
T-STAT & -0.626770603497286 \tabularnewline
p-value & 0.564804631642622 \tabularnewline
Lambda & 17.2992955117747 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6786&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]74.5345602770658[/C][/ROW]
[ROW][C]beta[/C][C]-16.2992955117747[/C][/ROW]
[ROW][C]S.D.[/C][C]26.0052009791574[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.626770603497286[/C][/ROW]
[ROW][C]p-value[/C][C]0.564804631642622[/C][/ROW]
[ROW][C]Lambda[/C][C]17.2992955117747[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6786&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6786&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	74.5345602770658
beta	-16.2992955117747
S.D.	26.0052009791574
T-STAT	-0.626770603497286
p-value	0.564804631642622
Lambda	17.2992955117747

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