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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, 18 Aug 2009 04:07:24 -0600

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/2009/Aug/18/t12505902579xbamouepd55ujr.htm/, Retrieved Mon, 06 May 2024 12:23:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42763, Retrieved Mon, 06 May 2024 12:23:10 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

154

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

-       [Standard Deviation-Mean Plot] [Spreiding en gemi...] [2009-08-18 10:07:24] [20f104f44cfc38a9611a3c39fc31a60d] [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	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42763&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42763&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42763&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	106.35	1.80634068399809	4.10000000000001
2	110.7925	3.70307417335021	8.96
3	116.0525	2.00351981938454	4.74000000000001
4	113.915	4.16546516009917	9.18
5	113.87	3.31283363099729	7.13000000000001
6	121.39	0.746056298143782	1.82000000000001
7	118.6425	4.3482285665161	9.85
8	117.0375	2.79390258718279	6.2
9	115.925	2.43628816029632	5.79000000000001
10	107.065	5.92528199047663	12.91

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 106.35 & 1.80634068399809 & 4.10000000000001 \tabularnewline
2 & 110.7925 & 3.70307417335021 & 8.96 \tabularnewline
3 & 116.0525 & 2.00351981938454 & 4.74000000000001 \tabularnewline
4 & 113.915 & 4.16546516009917 & 9.18 \tabularnewline
5 & 113.87 & 3.31283363099729 & 7.13000000000001 \tabularnewline
6 & 121.39 & 0.746056298143782 & 1.82000000000001 \tabularnewline
7 & 118.6425 & 4.3482285665161 & 9.85 \tabularnewline
8 & 117.0375 & 2.79390258718279 & 6.2 \tabularnewline
9 & 115.925 & 2.43628816029632 & 5.79000000000001 \tabularnewline
10 & 107.065 & 5.92528199047663 & 12.91 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42763&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]106.35[/C][C]1.80634068399809[/C][C]4.10000000000001[/C][/ROW]
[ROW][C]2[/C][C]110.7925[/C][C]3.70307417335021[/C][C]8.96[/C][/ROW]
[ROW][C]3[/C][C]116.0525[/C][C]2.00351981938454[/C][C]4.74000000000001[/C][/ROW]
[ROW][C]4[/C][C]113.915[/C][C]4.16546516009917[/C][C]9.18[/C][/ROW]
[ROW][C]5[/C][C]113.87[/C][C]3.31283363099729[/C][C]7.13000000000001[/C][/ROW]
[ROW][C]6[/C][C]121.39[/C][C]0.746056298143782[/C][C]1.82000000000001[/C][/ROW]
[ROW][C]7[/C][C]118.6425[/C][C]4.3482285665161[/C][C]9.85[/C][/ROW]
[ROW][C]8[/C][C]117.0375[/C][C]2.79390258718279[/C][C]6.2[/C][/ROW]
[ROW][C]9[/C][C]115.925[/C][C]2.43628816029632[/C][C]5.79000000000001[/C][/ROW]
[ROW][C]10[/C][C]107.065[/C][C]5.92528199047663[/C][C]12.91[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42763&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42763&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	106.35	1.80634068399809	4.10000000000001
2	110.7925	3.70307417335021	8.96
3	116.0525	2.00351981938454	4.74000000000001
4	113.915	4.16546516009917	9.18
5	113.87	3.31283363099729	7.13000000000001
6	121.39	0.746056298143782	1.82000000000001
7	118.6425	4.3482285665161	9.85
8	117.0375	2.79390258718279	6.2
9	115.925	2.43628816029632	5.79000000000001
10	107.065	5.92528199047663	12.91

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	18.2379346938674
beta	-0.132456667486004
S.D.	0.0986001604446195
T-STAT	-1.34337172362311
p-value	0.216010735837168

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18.2379346938674 \tabularnewline
beta & -0.132456667486004 \tabularnewline
S.D. & 0.0986001604446195 \tabularnewline
T-STAT & -1.34337172362311 \tabularnewline
p-value & 0.216010735837168 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42763&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.2379346938674[/C][/ROW]
[ROW][C]beta[/C][C]-0.132456667486004[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0986001604446195[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.34337172362311[/C][/ROW]
[ROW][C]p-value[/C][C]0.216010735837168[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42763&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42763&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	18.2379346938674
beta	-0.132456667486004
S.D.	0.0986001604446195
T-STAT	-1.34337172362311
p-value	0.216010735837168

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	29.5582036269839
beta	-6.02766736049577
S.D.	4.35723603584889
T-STAT	-1.38336948260400
p-value	0.203927927776072
Lambda	7.02766736049577

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 29.5582036269839 \tabularnewline
beta & -6.02766736049577 \tabularnewline
S.D. & 4.35723603584889 \tabularnewline
T-STAT & -1.38336948260400 \tabularnewline
p-value & 0.203927927776072 \tabularnewline
Lambda & 7.02766736049577 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42763&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]29.5582036269839[/C][/ROW]
[ROW][C]beta[/C][C]-6.02766736049577[/C][/ROW]
[ROW][C]S.D.[/C][C]4.35723603584889[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.38336948260400[/C][/ROW]
[ROW][C]p-value[/C][C]0.203927927776072[/C][/ROW]
[ROW][C]Lambda[/C][C]7.02766736049577[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42763&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42763&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	29.5582036269839
beta	-6.02766736049577
S.D.	4.35723603584889
T-STAT	-1.38336948260400
p-value	0.203927927776072
Lambda	7.02766736049577

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 750 ; par2 = 12 ;

Parameters (R input):

par1 = 4 ;

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