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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 02:51:37 -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/t1196329260ohlzttso9v57sw3.htm/, Retrieved Fri, 03 May 2024 05:50:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7325, Retrieved Fri, 03 May 2024 05:50:59 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

208

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

-       [Standard Deviation-Mean Plot] [Q1_T4] [2007-11-29 09:51:37] [031886dbad66702fa31ca1c4d15fdd0f] [Current]

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Dataseries X:

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Histogram

Boxplots

1,81
1,59
1,65
1,47
1,3
1,27
1,33
1,24
1,21
1,33
1,38
1,42
1,3
1,36
1,37
1,48
1,53
1,39
1,37
1,39
1,32
1,32
1,18
1,18
0,99
1
0,9
0,76
0,78
0,73
0,61
0,52
0,82
0,95
1,52
1,46
1,48
1,32
1,39
1,33
1,24
1,45
1,55
1,51
1,76
1,85
1,56
1,45
1,49
1,45
1,44
1,28
1,46
1,3
1,25
1,25
1,18
1,31
1,35
1,49
1,56
1,44
1,48
1,57
1,59
1,77
1,92
1,83
1,92
1,92
1,61
1,67
1,71
1,65
1,68
1,7
1,63
1,65
1,62
1,75
1,86
1,81
1,6
1,65
1,6

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=7325&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=7325&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7325&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	1.41666666666667	0.182773249153317	0.82
2	1.34916666666667	0.102465811001731	0.53
3	0.92	0.303255068158203	0.62
4	1.49083333333333	0.176246641919439	1.09
5	1.35416666666667	0.107488547663404	0.71
6	1.69	0.175654619792778	1.19
7	1.6925	0.0791000517181764	1.25

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.41666666666667 & 0.182773249153317 & 0.82 \tabularnewline
2 & 1.34916666666667 & 0.102465811001731 & 0.53 \tabularnewline
3 & 0.92 & 0.303255068158203 & 0.62 \tabularnewline
4 & 1.49083333333333 & 0.176246641919439 & 1.09 \tabularnewline
5 & 1.35416666666667 & 0.107488547663404 & 0.71 \tabularnewline
6 & 1.69 & 0.175654619792778 & 1.19 \tabularnewline
7 & 1.6925 & 0.0791000517181764 & 1.25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7325&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]1.41666666666667[/C][C]0.182773249153317[/C][C]0.82[/C][/ROW]
[ROW][C]2[/C][C]1.34916666666667[/C][C]0.102465811001731[/C][C]0.53[/C][/ROW]
[ROW][C]3[/C][C]0.92[/C][C]0.303255068158203[/C][C]0.62[/C][/ROW]
[ROW][C]4[/C][C]1.49083333333333[/C][C]0.176246641919439[/C][C]1.09[/C][/ROW]
[ROW][C]5[/C][C]1.35416666666667[/C][C]0.107488547663404[/C][C]0.71[/C][/ROW]
[ROW][C]6[/C][C]1.69[/C][C]0.175654619792778[/C][C]1.19[/C][/ROW]
[ROW][C]7[/C][C]1.6925[/C][C]0.0791000517181764[/C][C]1.25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7325&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7325&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	1.41666666666667	0.182773249153317	0.82
2	1.34916666666667	0.102465811001731	0.53
3	0.92	0.303255068158203	0.62
4	1.49083333333333	0.176246641919439	1.09
5	1.35416666666667	0.107488547663404	0.71
6	1.69	0.175654619792778	1.19
7	1.6925	0.0791000517181764	1.25

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.439159693375212
beta	-0.19641565543572
S.D.	0.0942715421208205
T-STAT	-2.08350951959595
p-value	0.0916523203830422

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.439159693375212 \tabularnewline
beta & -0.19641565543572 \tabularnewline
S.D. & 0.0942715421208205 \tabularnewline
T-STAT & -2.08350951959595 \tabularnewline
p-value & 0.0916523203830422 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7325&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.439159693375212[/C][/ROW]
[ROW][C]beta[/C][C]-0.19641565543572[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0942715421208205[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.08350951959595[/C][/ROW]
[ROW][C]p-value[/C][C]0.0916523203830422[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7325&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7325&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	0.439159693375212
beta	-0.19641565543572
S.D.	0.0942715421208205
T-STAT	-2.08350951959595
p-value	0.0916523203830422

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.45969805800476
beta	-1.37865812485966
S.D.	0.776406764936852
T-STAT	-1.77569051059439
p-value	0.135947432042593
Lambda	2.37865812485966

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.45969805800476 \tabularnewline
beta & -1.37865812485966 \tabularnewline
S.D. & 0.776406764936852 \tabularnewline
T-STAT & -1.77569051059439 \tabularnewline
p-value & 0.135947432042593 \tabularnewline
Lambda & 2.37865812485966 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7325&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.45969805800476[/C][/ROW]
[ROW][C]beta[/C][C]-1.37865812485966[/C][/ROW]
[ROW][C]S.D.[/C][C]0.776406764936852[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.77569051059439[/C][/ROW]
[ROW][C]p-value[/C][C]0.135947432042593[/C][/ROW]
[ROW][C]Lambda[/C][C]2.37865812485966[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7325&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7325&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	-1.45969805800476
beta	-1.37865812485966
S.D.	0.776406764936852
T-STAT	-1.77569051059439
p-value	0.135947432042593
Lambda	2.37865812485966

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