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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

Wed, 12 May 2010 09:28:43 +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/2010/May/12/t1273656829j91icqnclcoay5y.htm/, Retrieved Fri, 03 May 2024 12:11:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=75820, Retrieved Fri, 03 May 2024 12:11:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

158

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

-       [Standard Deviation-Mean Plot] [The total generat...] [2010-05-12 09:28:43] [0e6aef37627b8cf9d1bd74110cef2cca] [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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75820&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75820&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75820&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	205.82	15.1344874076035	42.98
2	207.275	16.1417671106526	56.6
3	214.343333333333	19.1960456786540	58.41
4	225.354166666667	21.1750081929074	71.69
5	232.025	17.3399378734339	51
6	234.013333333333	19.4587018782826	57.46
7	235.418333333333	20.4304130841224	62.98
8	233.100833333333	16.737422663727	55.31
9	240.208333333333	22.0732066432395	70.92
10	242.559166666667	21.5106123738254	63.33
11	249.545	26.0198628673628	87.33

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 205.82 & 15.1344874076035 & 42.98 \tabularnewline
2 & 207.275 & 16.1417671106526 & 56.6 \tabularnewline
3 & 214.343333333333 & 19.1960456786540 & 58.41 \tabularnewline
4 & 225.354166666667 & 21.1750081929074 & 71.69 \tabularnewline
5 & 232.025 & 17.3399378734339 & 51 \tabularnewline
6 & 234.013333333333 & 19.4587018782826 & 57.46 \tabularnewline
7 & 235.418333333333 & 20.4304130841224 & 62.98 \tabularnewline
8 & 233.100833333333 & 16.737422663727 & 55.31 \tabularnewline
9 & 240.208333333333 & 22.0732066432395 & 70.92 \tabularnewline
10 & 242.559166666667 & 21.5106123738254 & 63.33 \tabularnewline
11 & 249.545 & 26.0198628673628 & 87.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75820&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]205.82[/C][C]15.1344874076035[/C][C]42.98[/C][/ROW]
[ROW][C]2[/C][C]207.275[/C][C]16.1417671106526[/C][C]56.6[/C][/ROW]
[ROW][C]3[/C][C]214.343333333333[/C][C]19.1960456786540[/C][C]58.41[/C][/ROW]
[ROW][C]4[/C][C]225.354166666667[/C][C]21.1750081929074[/C][C]71.69[/C][/ROW]
[ROW][C]5[/C][C]232.025[/C][C]17.3399378734339[/C][C]51[/C][/ROW]
[ROW][C]6[/C][C]234.013333333333[/C][C]19.4587018782826[/C][C]57.46[/C][/ROW]
[ROW][C]7[/C][C]235.418333333333[/C][C]20.4304130841224[/C][C]62.98[/C][/ROW]
[ROW][C]8[/C][C]233.100833333333[/C][C]16.737422663727[/C][C]55.31[/C][/ROW]
[ROW][C]9[/C][C]240.208333333333[/C][C]22.0732066432395[/C][C]70.92[/C][/ROW]
[ROW][C]10[/C][C]242.559166666667[/C][C]21.5106123738254[/C][C]63.33[/C][/ROW]
[ROW][C]11[/C][C]249.545[/C][C]26.0198628673628[/C][C]87.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75820&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75820&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	205.82	15.1344874076035	42.98
2	207.275	16.1417671106526	56.6
3	214.343333333333	19.1960456786540	58.41
4	225.354166666667	21.1750081929074	71.69
5	232.025	17.3399378734339	51
6	234.013333333333	19.4587018782826	57.46
7	235.418333333333	20.4304130841224	62.98
8	233.100833333333	16.737422663727	55.31
9	240.208333333333	22.0732066432395	70.92
10	242.559166666667	21.5106123738254	63.33
11	249.545	26.0198628673628	87.33

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-19.3752374045114
beta	0.170000973234882
S.D.	0.046408381640857
T-STAT	3.66315237084709
p-value	0.00520994475589797

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -19.3752374045114 \tabularnewline
beta & 0.170000973234882 \tabularnewline
S.D. & 0.046408381640857 \tabularnewline
T-STAT & 3.66315237084709 \tabularnewline
p-value & 0.00520994475589797 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75820&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-19.3752374045114[/C][/ROW]
[ROW][C]beta[/C][C]0.170000973234882[/C][/ROW]
[ROW][C]S.D.[/C][C]0.046408381640857[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.66315237084709[/C][/ROW]
[ROW][C]p-value[/C][C]0.00520994475589797[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75820&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75820&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	-19.3752374045114
beta	0.170000973234882
S.D.	0.046408381640857
T-STAT	3.66315237084709
p-value	0.00520994475589797

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-7.57488176397665
beta	1.93975038914685
S.D.	0.52527165472745
T-STAT	3.69285182569643
p-value	0.0049753482323564
Lambda	-0.93975038914685

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -7.57488176397665 \tabularnewline
beta & 1.93975038914685 \tabularnewline
S.D. & 0.52527165472745 \tabularnewline
T-STAT & 3.69285182569643 \tabularnewline
p-value & 0.0049753482323564 \tabularnewline
Lambda & -0.93975038914685 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75820&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-7.57488176397665[/C][/ROW]
[ROW][C]beta[/C][C]1.93975038914685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.52527165472745[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.69285182569643[/C][/ROW]
[ROW][C]p-value[/C][C]0.0049753482323564[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.93975038914685[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75820&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75820&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	-7.57488176397665
beta	1.93975038914685
S.D.	0.52527165472745
T-STAT	3.69285182569643
p-value	0.0049753482323564
Lambda	-0.93975038914685

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