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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, 29 Nov 2011 14:09:36 -0500

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/2011/Nov/29/t1322593808nkwcbo7w85f76re.htm/, Retrieved Sat, 27 Apr 2024 02:12:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148681, Retrieved Sat, 27 Apr 2024 02:12:29 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Gemiddelde prijs ...] [2011-11-29 19:09:36] [27830603f12132457d99d827849f2486] [Current]

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Dataseries X:

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Histogram

Boxplots

3,11
3,1
3,13
3,14
3,16
3,17
3,19
3,18
3,17
3,17
3,2
3,21
3,25
3,22
3,25
3,31
3,35
3,37
3,38
3,38
3,39
3,44
3,56
3,65
3,69
3,71
3,71
3,74
3,75
3,77
3,75
3,78
3,8
3,78
3,79
3,8
3,82
3,82
3,84
3,86
3,8
3,85
3,78
3,79
3,77
3,78
3,77
3,76
3,78
3,76
3,75
3,71
3,72
3,7
3,69
3,7
3,72
3,73
3,73
3,69

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	'AstonUniversity' @ aston.wessa.net

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148681&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148681&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	'AstonUniversity' @ aston.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3.12	0.0182574185835056	0.04
2	3.175	0.012909944487358	0.0299999999999998
3	3.1875	0.0206155281280884	0.04
4	3.2575	0.0377491721763537	0.0899999999999999
5	3.37	0.0141421356237309	0.0299999999999998
6	3.51	0.117473401244707	0.26
7	3.7125	0.0206155281280884	0.0500000000000003
8	3.7625	0.0149999999999999	0.0299999999999998
9	3.7925	0.00957427107756337	0.02
10	3.835	0.0191485421551268	0.04
11	3.805	0.0310912635102962	0.0700000000000003
12	3.77	0.00816496580927727	0.02
13	3.75	0.0294392028877594	0.0699999999999998
14	3.7025	0.012583057392118	0.0300000000000002
15	3.7175	0.0189296944860009	0.04

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3.12 & 0.0182574185835056 & 0.04 \tabularnewline
2 & 3.175 & 0.012909944487358 & 0.0299999999999998 \tabularnewline
3 & 3.1875 & 0.0206155281280884 & 0.04 \tabularnewline
4 & 3.2575 & 0.0377491721763537 & 0.0899999999999999 \tabularnewline
5 & 3.37 & 0.0141421356237309 & 0.0299999999999998 \tabularnewline
6 & 3.51 & 0.117473401244707 & 0.26 \tabularnewline
7 & 3.7125 & 0.0206155281280884 & 0.0500000000000003 \tabularnewline
8 & 3.7625 & 0.0149999999999999 & 0.0299999999999998 \tabularnewline
9 & 3.7925 & 0.00957427107756337 & 0.02 \tabularnewline
10 & 3.835 & 0.0191485421551268 & 0.04 \tabularnewline
11 & 3.805 & 0.0310912635102962 & 0.0700000000000003 \tabularnewline
12 & 3.77 & 0.00816496580927727 & 0.02 \tabularnewline
13 & 3.75 & 0.0294392028877594 & 0.0699999999999998 \tabularnewline
14 & 3.7025 & 0.012583057392118 & 0.0300000000000002 \tabularnewline
15 & 3.7175 & 0.0189296944860009 & 0.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148681&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]3.12[/C][C]0.0182574185835056[/C][C]0.04[/C][/ROW]
[ROW][C]2[/C][C]3.175[/C][C]0.012909944487358[/C][C]0.0299999999999998[/C][/ROW]
[ROW][C]3[/C][C]3.1875[/C][C]0.0206155281280884[/C][C]0.04[/C][/ROW]
[ROW][C]4[/C][C]3.2575[/C][C]0.0377491721763537[/C][C]0.0899999999999999[/C][/ROW]
[ROW][C]5[/C][C]3.37[/C][C]0.0141421356237309[/C][C]0.0299999999999998[/C][/ROW]
[ROW][C]6[/C][C]3.51[/C][C]0.117473401244707[/C][C]0.26[/C][/ROW]
[ROW][C]7[/C][C]3.7125[/C][C]0.0206155281280884[/C][C]0.0500000000000003[/C][/ROW]
[ROW][C]8[/C][C]3.7625[/C][C]0.0149999999999999[/C][C]0.0299999999999998[/C][/ROW]
[ROW][C]9[/C][C]3.7925[/C][C]0.00957427107756337[/C][C]0.02[/C][/ROW]
[ROW][C]10[/C][C]3.835[/C][C]0.0191485421551268[/C][C]0.04[/C][/ROW]
[ROW][C]11[/C][C]3.805[/C][C]0.0310912635102962[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]12[/C][C]3.77[/C][C]0.00816496580927727[/C][C]0.02[/C][/ROW]
[ROW][C]13[/C][C]3.75[/C][C]0.0294392028877594[/C][C]0.0699999999999998[/C][/ROW]
[ROW][C]14[/C][C]3.7025[/C][C]0.012583057392118[/C][C]0.0300000000000002[/C][/ROW]
[ROW][C]15[/C][C]3.7175[/C][C]0.0189296944860009[/C][C]0.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148681&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	3.12	0.0182574185835056	0.04
2	3.175	0.012909944487358	0.0299999999999998
3	3.1875	0.0206155281280884	0.04
4	3.2575	0.0377491721763537	0.0899999999999999
5	3.37	0.0141421356237309	0.0299999999999998
6	3.51	0.117473401244707	0.26
7	3.7125	0.0206155281280884	0.0500000000000003
8	3.7625	0.0149999999999999	0.0299999999999998
9	3.7925	0.00957427107756337	0.02
10	3.835	0.0191485421551268	0.04
11	3.805	0.0310912635102962	0.0700000000000003
12	3.77	0.00816496580927727	0.02
13	3.75	0.0294392028877594	0.0699999999999998
14	3.7025	0.012583057392118	0.0300000000000002
15	3.7175	0.0189296944860009	0.04

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0582188678409918
beta	-0.00911935085659333
S.D.	0.0277051704264119
T-STAT	-0.32915700269072
p-value	0.747279734585776

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0582188678409918 \tabularnewline
beta & -0.00911935085659333 \tabularnewline
S.D. & 0.0277051704264119 \tabularnewline
T-STAT & -0.32915700269072 \tabularnewline
p-value & 0.747279734585776 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148681&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0582188678409918[/C][/ROW]
[ROW][C]beta[/C][C]-0.00911935085659333[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0277051704264119[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.32915700269072[/C][/ROW]
[ROW][C]p-value[/C][C]0.747279734585776[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148681&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148681&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	0.0582188678409918
beta	-0.00911935085659333
S.D.	0.0277051704264119
T-STAT	-0.32915700269072
p-value	0.747279734585776

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-2.51305130137683
beta	-1.10633157070323
S.D.	2.32308453197807
T-STAT	-0.476233884507512
p-value	0.64181211727833
Lambda	2.10633157070323

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.51305130137683 \tabularnewline
beta & -1.10633157070323 \tabularnewline
S.D. & 2.32308453197807 \tabularnewline
T-STAT & -0.476233884507512 \tabularnewline
p-value & 0.64181211727833 \tabularnewline
Lambda & 2.10633157070323 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148681&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.51305130137683[/C][/ROW]
[ROW][C]beta[/C][C]-1.10633157070323[/C][/ROW]
[ROW][C]S.D.[/C][C]2.32308453197807[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.476233884507512[/C][/ROW]
[ROW][C]p-value[/C][C]0.64181211727833[/C][/ROW]
[ROW][C]Lambda[/C][C]2.10633157070323[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148681&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148681&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	-2.51305130137683
beta	-1.10633157070323
S.D.	2.32308453197807
T-STAT	-0.476233884507512
p-value	0.64181211727833
Lambda	2.10633157070323

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code