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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

Sun, 06 Jan 2008 13:33:40 -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/2008/Jan/06/t1199651589udwi50v1xu9hkxn.htm/, Retrieved Sun, 05 May 2024 04:05:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7888, Retrieved Sun, 05 May 2024 04:05:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Inducing time series Q1 TI

Estimated Impact

179

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

-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Standard Deviation-Mean Plot] [CVWS7TIQ1] [2008-01-06 20:33:40] [b523c8d839cc24a05ea912c062a47207] [Current]

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Dataseries X:

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Histogram

Boxplots

-12.7
-2.4
7.1
-3.9
9.5
5
-16.1
-10.8
7
13.6
8.1
-8.1
4.9
-0.8
4.3
4
1.5
5.4
-11.3
-16.4
-2
8.9
-7.2
-18
1.3
6.3
-6
2.8
2
5.1
-7.6
-18.6
5.8
20.3
0.7
-11.2
-5.7
-0.1
3.4
3.3
-1.2
4.2
-8.8
-25.3
8.5
14.5
-3.1
-10.4
-2.9
0.3
22.6
15.4
9
29.1
2.8
-3.8
27.7
28.9
26.5
19.8
13.2
14.1
34.1
30
21.8
32.1
5.3
3
17.1
26.3
38.1
19.5
38
35.5
78.6
62.2
76.9
104.9
32.2
42.5
64.3
74.9
75.4
43
58.7
55.4
76.6
63.3
78.9
82.7

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7888&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]1 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=7888&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7888&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	-0.308333333333334	9.94443273516607	29.7
2	-2.225	8.97897797383118	26.9
3	0.075	9.9569185631262	38.9
4	-1.725	10.2519288650744	39.8
5	14.6166666666667	12.9317673216234	32.9
6	21.2166666666667	11.2524610102803	35.1
7	60.7	22.5157318739183	72.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -0.308333333333334 & 9.94443273516607 & 29.7 \tabularnewline
2 & -2.225 & 8.97897797383118 & 26.9 \tabularnewline
3 & 0.075 & 9.9569185631262 & 38.9 \tabularnewline
4 & -1.725 & 10.2519288650744 & 39.8 \tabularnewline
5 & 14.6166666666667 & 12.9317673216234 & 32.9 \tabularnewline
6 & 21.2166666666667 & 11.2524610102803 & 35.1 \tabularnewline
7 & 60.7 & 22.5157318739183 & 72.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7888&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]-0.308333333333334[/C][C]9.94443273516607[/C][C]29.7[/C][/ROW]
[ROW][C]2[/C][C]-2.225[/C][C]8.97897797383118[/C][C]26.9[/C][/ROW]
[ROW][C]3[/C][C]0.075[/C][C]9.9569185631262[/C][C]38.9[/C][/ROW]
[ROW][C]4[/C][C]-1.725[/C][C]10.2519288650744[/C][C]39.8[/C][/ROW]
[ROW][C]5[/C][C]14.6166666666667[/C][C]12.9317673216234[/C][C]32.9[/C][/ROW]
[ROW][C]6[/C][C]21.2166666666667[/C][C]11.2524610102803[/C][C]35.1[/C][/ROW]
[ROW][C]7[/C][C]60.7[/C][C]22.5157318739183[/C][C]72.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7888&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7888&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	-0.308333333333334	9.94443273516607	29.7
2	-2.225	8.97897797383118	26.9
3	0.075	9.9569185631262	38.9
4	-1.725	10.2519288650744	39.8
5	14.6166666666667	12.9317673216234	32.9
6	21.2166666666667	11.2524610102803	35.1
7	60.7	22.5157318739183	72.7

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	9.64621588918768
beta	0.198253460949714
S.D.	0.0236485323036538
T-STAT	8.38333044960607
p-value	0.000395540867350601

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 9.64621588918768 \tabularnewline
beta & 0.198253460949714 \tabularnewline
S.D. & 0.0236485323036538 \tabularnewline
T-STAT & 8.38333044960607 \tabularnewline
p-value & 0.000395540867350601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7888&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.64621588918768[/C][/ROW]
[ROW][C]beta[/C][C]0.198253460949714[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0236485323036538[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.38333044960607[/C][/ROW]
[ROW][C]p-value[/C][C]0.000395540867350601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7888&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7888&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	9.64621588918768
beta	0.198253460949714
S.D.	0.0236485323036538
T-STAT	8.38333044960607
p-value	0.000395540867350601

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.44678817171118
beta	0.083501195770558
S.D.	0.061133606288625
T-STAT	1.36588041896843
p-value	0.305291558891822
Lambda	0.916498804229442

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.44678817171118 \tabularnewline
beta & 0.083501195770558 \tabularnewline
S.D. & 0.061133606288625 \tabularnewline
T-STAT & 1.36588041896843 \tabularnewline
p-value & 0.305291558891822 \tabularnewline
Lambda & 0.916498804229442 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7888&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.44678817171118[/C][/ROW]
[ROW][C]beta[/C][C]0.083501195770558[/C][/ROW]
[ROW][C]S.D.[/C][C]0.061133606288625[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.36588041896843[/C][/ROW]
[ROW][C]p-value[/C][C]0.305291558891822[/C][/ROW]
[ROW][C]Lambda[/C][C]0.916498804229442[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7888&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7888&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	2.44678817171118
beta	0.083501195770558
S.D.	0.061133606288625
T-STAT	1.36588041896843
p-value	0.305291558891822
Lambda	0.916498804229442

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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