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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

Thu, 29 Nov 2007 08:23:44 -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/29/t1196349183b0co53kkibis7to.htm/, Retrieved Fri, 03 May 2024 13:12:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7513, Retrieved Fri, 03 May 2024 13:12:45 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

163

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

-       [Standard Deviation-Mean Plot] [inflatie] [2007-11-29 15:23:44] [6c82e325b196f1aec5740f38b2795d46] [Current]

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Dataseries X:

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Histogram

Boxplots

1.5
1.4
1.6
1.6
1.6
1.4
1.7
1.8
1.9
2.2
2.1
2.4
2.6
2.8
2.7
2.6
2.9
2.8
2.2
2.2
2.2
2
2
1.7
1.4
1.3
1.4
1.3
1.3
1.4
2
1.7
1.8
1.7
1.6
1.7
1.9
1.8
1.7
1.6
1.8
1.6
1.5
1.5
1.3
1.4
1.4
1.3
1.3
1.2
1.1
1.4
1.2
1.5
1.1
1.3
1.5
1.1
1.4
1.3
1.5
1.6
1.7
1.1
1.6
1.3
1.7
1.6
1.7
1.9
1.8
1.9
1.6
1.5
1.6
1.6
1.7
2
2
1.9
1.7
1.8
1.9
1.7
2

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=7513&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=7513&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7513&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	1.76666666666667	0.322865953984659	1.1
2	2.39166666666667	0.389541299790438	1.7
3	1.55	0.231595258233764	0.9
4	1.56666666666667	0.201509455376319	0.8
5	1.28333333333333	0.146680440124618	0.3
6	1.61666666666667	0.232900030576263	0.6
7	1.75	0.167874411932904	0.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.76666666666667 & 0.322865953984659 & 1.1 \tabularnewline
2 & 2.39166666666667 & 0.389541299790438 & 1.7 \tabularnewline
3 & 1.55 & 0.231595258233764 & 0.9 \tabularnewline
4 & 1.56666666666667 & 0.201509455376319 & 0.8 \tabularnewline
5 & 1.28333333333333 & 0.146680440124618 & 0.3 \tabularnewline
6 & 1.61666666666667 & 0.232900030576263 & 0.6 \tabularnewline
7 & 1.75 & 0.167874411932904 & 0.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7513&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]1.76666666666667[/C][C]0.322865953984659[/C][C]1.1[/C][/ROW]
[ROW][C]2[/C][C]2.39166666666667[/C][C]0.389541299790438[/C][C]1.7[/C][/ROW]
[ROW][C]3[/C][C]1.55[/C][C]0.231595258233764[/C][C]0.9[/C][/ROW]
[ROW][C]4[/C][C]1.56666666666667[/C][C]0.201509455376319[/C][C]0.8[/C][/ROW]
[ROW][C]5[/C][C]1.28333333333333[/C][C]0.146680440124618[/C][C]0.3[/C][/ROW]
[ROW][C]6[/C][C]1.61666666666667[/C][C]0.232900030576263[/C][C]0.6[/C][/ROW]
[ROW][C]7[/C][C]1.75[/C][C]0.167874411932904[/C][C]0.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7513&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7513&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	1.76666666666667	0.322865953984659	1.1
2	2.39166666666667	0.389541299790438	1.7
3	1.55	0.231595258233764	0.9
4	1.56666666666667	0.201509455376319	0.8
5	1.28333333333333	0.146680440124618	0.3
6	1.61666666666667	0.232900030576263	0.6
7	1.75	0.167874411932904	0.9

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.122877402586385
beta	0.214097162945380
S.D.	0.0591522648026307
T-STAT	3.61942460968728
p-value	0.0152287369832942

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.122877402586385 \tabularnewline
beta & 0.214097162945380 \tabularnewline
S.D. & 0.0591522648026307 \tabularnewline
T-STAT & 3.61942460968728 \tabularnewline
p-value & 0.0152287369832942 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7513&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.122877402586385[/C][/ROW]
[ROW][C]beta[/C][C]0.214097162945380[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0591522648026307[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.61942460968728[/C][/ROW]
[ROW][C]p-value[/C][C]0.0152287369832942[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7513&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7513&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	-0.122877402586385
beta	0.214097162945380
S.D.	0.0591522648026307
T-STAT	3.61942460968728
p-value	0.0152287369832942

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.24215459778427
beta	1.49151731511414
S.D.	0.46837746021273
T-STAT	3.18443443977154
p-value	0.0244166319416669
Lambda	-0.491517315114141

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.24215459778427 \tabularnewline
beta & 1.49151731511414 \tabularnewline
S.D. & 0.46837746021273 \tabularnewline
T-STAT & 3.18443443977154 \tabularnewline
p-value & 0.0244166319416669 \tabularnewline
Lambda & -0.491517315114141 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7513&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.24215459778427[/C][/ROW]
[ROW][C]beta[/C][C]1.49151731511414[/C][/ROW]
[ROW][C]S.D.[/C][C]0.46837746021273[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.18443443977154[/C][/ROW]
[ROW][C]p-value[/C][C]0.0244166319416669[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.491517315114141[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7513&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7513&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	-2.24215459778427
beta	1.49151731511414
S.D.	0.46837746021273
T-STAT	3.18443443977154
p-value	0.0244166319416669
Lambda	-0.491517315114141

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