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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, 29 Nov 2007 02:48:06 -0700

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/2007/Nov/29/t1196329066h5v4nnmbnmavo5k.htm/, Retrieved Fri, 03 May 2024 13:06:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7319, Retrieved Fri, 03 May 2024 13:06:57 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

251

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

-       [Standard Deviation-Mean Plot] [Q1_T2] [2007-11-29 09:48:06] [031886dbad66702fa31ca1c4d15fdd0f] [Current]

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Dataseries X:

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Histogram

Boxplots

5,35
5,3
5,05
4,94
4,94
4,84
5
5,2
5,14
5,16
4,96
4,97
4,76
4,61
4,85
4,94
5
5,24
5,24
5,25
5,11
4,96
4,68
4,49
4,58
4,58
4,41
4,23
4,01
4,09
4,23
3,91
3,7
4
4,16
4,23
4,29
4,41
4,34
4,2
4,15
3,99
4,19
4,33
4,39
4,28
4,12
4,09
3,97
3,85
3,64
3,58
3,59
3,76
3,55
3,37
3,2
3,26
3,3
3,13
3,29
3,49
3,38
3,34
3,5
3,68
3,94
4,01
4,01
4,03
3,9
3,77
3,81
3,74
3,8
4,06
4,1
3,99
4,2
4,33
4,61
4,59
4,39
4,35
4,4

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7319&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7319&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	5.07083333333333	0.158197709058997	2.06
2	4.9275	0.257015210020376	1.76
3	4.1775	0.261712020775091	1.2
4	4.23166666666667	0.129462759358072	1.07
5	3.51666666666667	0.267253142964199	0.47
6	3.695	0.284109453940170	0.35
7	4.16416666666667	0.298129268281497	1.06

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5.07083333333333 & 0.158197709058997 & 2.06 \tabularnewline
2 & 4.9275 & 0.257015210020376 & 1.76 \tabularnewline
3 & 4.1775 & 0.261712020775091 & 1.2 \tabularnewline
4 & 4.23166666666667 & 0.129462759358072 & 1.07 \tabularnewline
5 & 3.51666666666667 & 0.267253142964199 & 0.47 \tabularnewline
6 & 3.695 & 0.284109453940170 & 0.35 \tabularnewline
7 & 4.16416666666667 & 0.298129268281497 & 1.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7319&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]5.07083333333333[/C][C]0.158197709058997[/C][C]2.06[/C][/ROW]
[ROW][C]2[/C][C]4.9275[/C][C]0.257015210020376[/C][C]1.76[/C][/ROW]
[ROW][C]3[/C][C]4.1775[/C][C]0.261712020775091[/C][C]1.2[/C][/ROW]
[ROW][C]4[/C][C]4.23166666666667[/C][C]0.129462759358072[/C][C]1.07[/C][/ROW]
[ROW][C]5[/C][C]3.51666666666667[/C][C]0.267253142964199[/C][C]0.47[/C][/ROW]
[ROW][C]6[/C][C]3.695[/C][C]0.284109453940170[/C][C]0.35[/C][/ROW]
[ROW][C]7[/C][C]4.16416666666667[/C][C]0.298129268281497[/C][C]1.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7319&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	5.07083333333333	0.158197709058997	2.06
2	4.9275	0.257015210020376	1.76
3	4.1775	0.261712020775091	1.2
4	4.23166666666667	0.129462759358072	1.07
5	3.51666666666667	0.267253142964199	0.47
6	3.695	0.284109453940170	0.35
7	4.16416666666667	0.298129268281497	1.06

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.459842670211477
beta	-0.052479657316685
S.D.	0.0450090652317766
T-STAT	-1.16597972089485
p-value	0.29621062379411

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.459842670211477 \tabularnewline
beta & -0.052479657316685 \tabularnewline
S.D. & 0.0450090652317766 \tabularnewline
T-STAT & -1.16597972089485 \tabularnewline
p-value & 0.29621062379411 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7319&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.459842670211477[/C][/ROW]
[ROW][C]beta[/C][C]-0.052479657316685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0450090652317766[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.16597972089485[/C][/ROW]
[ROW][C]p-value[/C][C]0.29621062379411[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7319&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7319&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	0.459842670211477
beta	-0.052479657316685
S.D.	0.0450090652317766
T-STAT	-1.16597972089485
p-value	0.29621062379411

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.0153781373757947
beta	-1.03983233180439
S.D.	0.972304276770993
T-STAT	-1.06945156639407
p-value	0.333753980144962
Lambda	2.03983233180439

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.0153781373757947 \tabularnewline
beta & -1.03983233180439 \tabularnewline
S.D. & 0.972304276770993 \tabularnewline
T-STAT & -1.06945156639407 \tabularnewline
p-value & 0.333753980144962 \tabularnewline
Lambda & 2.03983233180439 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7319&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0153781373757947[/C][/ROW]
[ROW][C]beta[/C][C]-1.03983233180439[/C][/ROW]
[ROW][C]S.D.[/C][C]0.972304276770993[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.06945156639407[/C][/ROW]
[ROW][C]p-value[/C][C]0.333753980144962[/C][/ROW]
[ROW][C]Lambda[/C][C]2.03983233180439[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7319&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7319&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	0.0153781373757947
beta	-1.03983233180439
S.D.	0.972304276770993
T-STAT	-1.06945156639407
p-value	0.333753980144962
Lambda	2.03983233180439

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