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of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 15 Jan 2012 06:32:35 -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/2012/Jan/15/t1326627370554rl2jc06ivsou.htm/, Retrieved Fri, 03 May 2024 14:26:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=161066, Retrieved Fri, 03 May 2024 14:26:14 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

113

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

-       [Standard Deviation-Mean Plot] [] [2012-01-15 11:32:35] [f7653f7e39425878158499028a118a95] [Current]

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Dataseries X:

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Histogram

Boxplots

5,82
5,85
5,87
5,88
5,9
5,91
5,94
5,97
5,98
6
6,01
6,02
6,11
6,13
6,15
6,15
6,16
6,18
6,21
6,22
6,23
6,26
6,28
6,28
6,29
6,32
6,36
6,37
6,38
6,38
6,4
6,41
6,42
6,43
6,44
6,47
6,47
6,48
6,51
6,54
6,56
6,57
6,6
6,62
6,65
6,71
6,76
6,78
6,8
6,83
6,86
6,86
6,87
6,88
6,9
6,92
6,93
6,94
6,96
6,98
6,99
7,01
7,06
7,07
7,08
7,08
7,1
7,11
7,22
7,24
7,25
7,26

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=161066&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=161066&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161066&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	5.92916666666667	0.0670763924510137	0.199999999999999
2	6.19666666666667	0.0585170267891527	0.17
3	6.38916666666667	0.0507145905728291	0.18
4	6.60416666666667	0.103700471931365	0.31
5	6.89416666666667	0.0538446136975875	0.180000000000001
6	7.1225	0.0951673167732398	0.27

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5.92916666666667 & 0.0670763924510137 & 0.199999999999999 \tabularnewline
2 & 6.19666666666667 & 0.0585170267891527 & 0.17 \tabularnewline
3 & 6.38916666666667 & 0.0507145905728291 & 0.18 \tabularnewline
4 & 6.60416666666667 & 0.103700471931365 & 0.31 \tabularnewline
5 & 6.89416666666667 & 0.0538446136975875 & 0.180000000000001 \tabularnewline
6 & 7.1225 & 0.0951673167732398 & 0.27 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161066&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]5.92916666666667[/C][C]0.0670763924510137[/C][C]0.199999999999999[/C][/ROW]
[ROW][C]2[/C][C]6.19666666666667[/C][C]0.0585170267891527[/C][C]0.17[/C][/ROW]
[ROW][C]3[/C][C]6.38916666666667[/C][C]0.0507145905728291[/C][C]0.18[/C][/ROW]
[ROW][C]4[/C][C]6.60416666666667[/C][C]0.103700471931365[/C][C]0.31[/C][/ROW]
[ROW][C]5[/C][C]6.89416666666667[/C][C]0.0538446136975875[/C][C]0.180000000000001[/C][/ROW]
[ROW][C]6[/C][C]7.1225[/C][C]0.0951673167732398[/C][C]0.27[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161066&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161066&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	5.92916666666667	0.0670763924510137	0.199999999999999
2	6.19666666666667	0.0585170267891527	0.17
3	6.38916666666667	0.0507145905728291	0.18
4	6.60416666666667	0.103700471931365	0.31
5	6.89416666666667	0.0538446136975875	0.180000000000001
6	7.1225	0.0951673167732398	0.27

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.0608023025352034
beta	0.0202840762496367
S.D.	0.0232753003135239
T-STAT	0.871485049662317
p-value	0.432672912750858

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0608023025352034 \tabularnewline
beta & 0.0202840762496367 \tabularnewline
S.D. & 0.0232753003135239 \tabularnewline
T-STAT & 0.871485049662317 \tabularnewline
p-value & 0.432672912750858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161066&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0608023025352034[/C][/ROW]
[ROW][C]beta[/C][C]0.0202840762496367[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0232753003135239[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.871485049662317[/C][/ROW]
[ROW][C]p-value[/C][C]0.432672912750858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161066&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161066&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	-0.0608023025352034
beta	0.0202840762496367
S.D.	0.0232753003135239
T-STAT	0.871485049662317
p-value	0.432672912750858

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-5.68466136970081
beta	1.60550090984632
S.D.	2.06510832108715
T-STAT	0.777441499534091
p-value	0.480314783279926
Lambda	-0.605500909846324

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.68466136970081 \tabularnewline
beta & 1.60550090984632 \tabularnewline
S.D. & 2.06510832108715 \tabularnewline
T-STAT & 0.777441499534091 \tabularnewline
p-value & 0.480314783279926 \tabularnewline
Lambda & -0.605500909846324 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161066&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.68466136970081[/C][/ROW]
[ROW][C]beta[/C][C]1.60550090984632[/C][/ROW]
[ROW][C]S.D.[/C][C]2.06510832108715[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.777441499534091[/C][/ROW]
[ROW][C]p-value[/C][C]0.480314783279926[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.605500909846324[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161066&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161066&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	-5.68466136970081
beta	1.60550090984632
S.D.	2.06510832108715
T-STAT	0.777441499534091
p-value	0.480314783279926
Lambda	-0.605500909846324

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 50 ;

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