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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, 19 Aug 2010 15:44:33 +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/Aug/19/t1282232740tx45bff1ggw2d5n.htm/, Retrieved Fri, 03 May 2024 09:45:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79321, Retrieved Fri, 03 May 2024 09:45:12 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Gilian Keirsebelik

Estimated Impact

117

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

-       [Standard Deviation-Mean Plot] [tijdreeks A-Stap 26] [2010-08-19 15:44:33] [46199ea7e385a69efb178ac615a86e3a] [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=79321&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=79321&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79321&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	666.5	8.72301032275608	26
2	653.75	12.7858231149689	37
3	639.083333333333	19.8286217984065	53
4	605.166666666667	20.2387267535796	58
5	560.916666666667	27.5564159608259	79
6	498.166666666667	39.632019500613	103
7	412.916666666667	47.3256769309188	126
8	323.416666666667	44.3200310414507	112
9	245.666666666667	40.2860980608658	104
10	161.166666666667	42.913937836163	108

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 666.5 & 8.72301032275608 & 26 \tabularnewline
2 & 653.75 & 12.7858231149689 & 37 \tabularnewline
3 & 639.083333333333 & 19.8286217984065 & 53 \tabularnewline
4 & 605.166666666667 & 20.2387267535796 & 58 \tabularnewline
5 & 560.916666666667 & 27.5564159608259 & 79 \tabularnewline
6 & 498.166666666667 & 39.632019500613 & 103 \tabularnewline
7 & 412.916666666667 & 47.3256769309188 & 126 \tabularnewline
8 & 323.416666666667 & 44.3200310414507 & 112 \tabularnewline
9 & 245.666666666667 & 40.2860980608658 & 104 \tabularnewline
10 & 161.166666666667 & 42.913937836163 & 108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79321&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]666.5[/C][C]8.72301032275608[/C][C]26[/C][/ROW]
[ROW][C]2[/C][C]653.75[/C][C]12.7858231149689[/C][C]37[/C][/ROW]
[ROW][C]3[/C][C]639.083333333333[/C][C]19.8286217984065[/C][C]53[/C][/ROW]
[ROW][C]4[/C][C]605.166666666667[/C][C]20.2387267535796[/C][C]58[/C][/ROW]
[ROW][C]5[/C][C]560.916666666667[/C][C]27.5564159608259[/C][C]79[/C][/ROW]
[ROW][C]6[/C][C]498.166666666667[/C][C]39.632019500613[/C][C]103[/C][/ROW]
[ROW][C]7[/C][C]412.916666666667[/C][C]47.3256769309188[/C][C]126[/C][/ROW]
[ROW][C]8[/C][C]323.416666666667[/C][C]44.3200310414507[/C][C]112[/C][/ROW]
[ROW][C]9[/C][C]245.666666666667[/C][C]40.2860980608658[/C][C]104[/C][/ROW]
[ROW][C]10[/C][C]161.166666666667[/C][C]42.913937836163[/C][C]108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79321&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79321&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	666.5	8.72301032275608	26
2	653.75	12.7858231149689	37
3	639.083333333333	19.8286217984065	53
4	605.166666666667	20.2387267535796	58
5	560.916666666667	27.5564159608259	79
6	498.166666666667	39.632019500613	103
7	412.916666666667	47.3256769309188	126
8	323.416666666667	44.3200310414507	112
9	245.666666666667	40.2860980608658	104
10	161.166666666667	42.913937836163	108

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	61.9085186690045
beta	-0.0661823727633077
S.D.	0.0147112187519394
T-STAT	-4.49876885656281
p-value	0.00200535377238944

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 61.9085186690045 \tabularnewline
beta & -0.0661823727633077 \tabularnewline
S.D. & 0.0147112187519394 \tabularnewline
T-STAT & -4.49876885656281 \tabularnewline
p-value & 0.00200535377238944 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79321&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]61.9085186690045[/C][/ROW]
[ROW][C]beta[/C][C]-0.0661823727633077[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0147112187519394[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.49876885656281[/C][/ROW]
[ROW][C]p-value[/C][C]0.00200535377238944[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79321&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79321&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	61.9085186690045
beta	-0.0661823727633077
S.D.	0.0147112187519394
T-STAT	-4.49876885656281
p-value	0.00200535377238944

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.53593630999488
beta	-0.864614665498906
S.D.	0.302597931510111
T-STAT	-2.85730527364829
p-value	0.0212391893793298
Lambda	1.86461466549891

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.53593630999488 \tabularnewline
beta & -0.864614665498906 \tabularnewline
S.D. & 0.302597931510111 \tabularnewline
T-STAT & -2.85730527364829 \tabularnewline
p-value & 0.0212391893793298 \tabularnewline
Lambda & 1.86461466549891 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79321&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.53593630999488[/C][/ROW]
[ROW][C]beta[/C][C]-0.864614665498906[/C][/ROW]
[ROW][C]S.D.[/C][C]0.302597931510111[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.85730527364829[/C][/ROW]
[ROW][C]p-value[/C][C]0.0212391893793298[/C][/ROW]
[ROW][C]Lambda[/C][C]1.86461466549891[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79321&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79321&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	8.53593630999488
beta	-0.864614665498906
S.D.	0.302597931510111
T-STAT	-2.85730527364829
p-value	0.0212391893793298
Lambda	1.86461466549891

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