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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, 28 May 2009 13:48:48 -0600

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/2009/May/28/t124354029351n39eqaeympxer.htm/, Retrieved Sun, 05 May 2024 23:47:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40707, Retrieved Sun, 05 May 2024 23:47:48 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

172

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

-       [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-05-28 19:48:48] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-   P     [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-05-28 20:03:13] [74be16979710d4c4e7c6647856088456] 
-   P       [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-06-02 19:39:40] [74be16979710d4c4e7c6647856088456] 
- RMPD    [Classical Decomposition] [Opgave 9 Oefening...] [2009-05-28 20:12:10] [74be16979710d4c4e7c6647856088456] 
-           [Classical Decomposition] [classical decompi...] [2009-06-01 18:52:57] [74be16979710d4c4e7c6647856088456] 
-   PD      [Classical Decomposition] [AClassical deposi...] [2009-06-01 19:40:50] [74be16979710d4c4e7c6647856088456] 
-  M        [Classical Decomposition] [Inschrijvingen ni...] [2010-05-18 15:36:20] [171d78ec5b9e86792f91669da948f55e] 
-  MPD      [Classical Decomposition] [The total generat...] [2010-05-18 15:53:03] [171d78ec5b9e86792f91669da948f55e] 
- RM        [Classical Decomposition] [Inschrijvingen ni...] [2010-05-23 12:23:24] [f0a5dc1b5eb71665e53a640391152a45] 
-    D        [Classical Decomposition] [Maandelijkse melk...] [2010-05-30 13:13:48] [74be16979710d4c4e7c6647856088456] 
- RM D      [Classical Decomposition] [Earthquakes/year ...] [2010-05-23 12:33:37] [f0a5dc1b5eb71665e53a640391152a45] 
-  M        [Classical Decomposition] [Classical Deompos...] [2010-05-24 20:58:01] [e35b30db8ce3563ce7b9c1c6d8c0e4ae] 
-  M D      [Classical Decomposition] [Classical Deompos...] [2010-05-24 21:03:14] [e35b30db8ce3563ce7b9c1c6d8c0e4ae] 
- RMPD    [Classical Decomposition] [Opgave 9 Oefening...] [2009-05-28 20:20:25] [74be16979710d4c4e7c6647856088456] 
-   PD      [Classical Decomposition] [Opgave 9 Oefening...] [2009-06-02 19:29:18] [74be16979710d4c4e7c6647856088456] 
-   P         [Classical Decomposition] [Opgave 9 Oefening...] [2009-06-07 15:45:48] [74be16979710d4c4e7c6647856088456] 

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Dataseries X:

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Histogram

Boxplots

Summary of computational 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 computational 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=40707&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]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=40707&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40707&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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	3803.8	20.5734456683043	47.2000000000003
2	3845.3	8.61200712184254	18.5
3	3857.6	3.19270000678629	7.5
4	3852.7	9.10860399109915	20.9000000000001
5	3827.9	7.16007448750831	15.4000000000001
6	3811.675	4.77170479668065	11.3999999999996
7	3868.075	6.56778755239037	14.4000000000001
8	3881.25	3.08166621597262	6.80000000000018
9	3899.5	11.3783419998992	26.2000000000003
10	3960.05	26.186701459583	59.7999999999997
11	4012	21.7874581659571	48.1999999999998
12	4091.425	28.5327151412785	64.6000000000004
13	4149.875	8.30516907313369	18.3000000000002
14	4144.4	2.79880927062427	6.09999999999945
15	4146.1	2.37346441585568	5.69999999999982
16	4174.625	15.6101195810068	35.5
17	4229.35	13.7294088243694	31.9000000000005
18	4287.5	24.4127016120709	56.4000000000005
19	4364.95	26.0431052935960	61.1999999999998

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3803.8 & 20.5734456683043 & 47.2000000000003 \tabularnewline
2 & 3845.3 & 8.61200712184254 & 18.5 \tabularnewline
3 & 3857.6 & 3.19270000678629 & 7.5 \tabularnewline
4 & 3852.7 & 9.10860399109915 & 20.9000000000001 \tabularnewline
5 & 3827.9 & 7.16007448750831 & 15.4000000000001 \tabularnewline
6 & 3811.675 & 4.77170479668065 & 11.3999999999996 \tabularnewline
7 & 3868.075 & 6.56778755239037 & 14.4000000000001 \tabularnewline
8 & 3881.25 & 3.08166621597262 & 6.80000000000018 \tabularnewline
9 & 3899.5 & 11.3783419998992 & 26.2000000000003 \tabularnewline
10 & 3960.05 & 26.186701459583 & 59.7999999999997 \tabularnewline
11 & 4012 & 21.7874581659571 & 48.1999999999998 \tabularnewline
12 & 4091.425 & 28.5327151412785 & 64.6000000000004 \tabularnewline
13 & 4149.875 & 8.30516907313369 & 18.3000000000002 \tabularnewline
14 & 4144.4 & 2.79880927062427 & 6.09999999999945 \tabularnewline
15 & 4146.1 & 2.37346441585568 & 5.69999999999982 \tabularnewline
16 & 4174.625 & 15.6101195810068 & 35.5 \tabularnewline
17 & 4229.35 & 13.7294088243694 & 31.9000000000005 \tabularnewline
18 & 4287.5 & 24.4127016120709 & 56.4000000000005 \tabularnewline
19 & 4364.95 & 26.0431052935960 & 61.1999999999998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40707&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]3803.8[/C][C]20.5734456683043[/C][C]47.2000000000003[/C][/ROW]
[ROW][C]2[/C][C]3845.3[/C][C]8.61200712184254[/C][C]18.5[/C][/ROW]
[ROW][C]3[/C][C]3857.6[/C][C]3.19270000678629[/C][C]7.5[/C][/ROW]
[ROW][C]4[/C][C]3852.7[/C][C]9.10860399109915[/C][C]20.9000000000001[/C][/ROW]
[ROW][C]5[/C][C]3827.9[/C][C]7.16007448750831[/C][C]15.4000000000001[/C][/ROW]
[ROW][C]6[/C][C]3811.675[/C][C]4.77170479668065[/C][C]11.3999999999996[/C][/ROW]
[ROW][C]7[/C][C]3868.075[/C][C]6.56778755239037[/C][C]14.4000000000001[/C][/ROW]
[ROW][C]8[/C][C]3881.25[/C][C]3.08166621597262[/C][C]6.80000000000018[/C][/ROW]
[ROW][C]9[/C][C]3899.5[/C][C]11.3783419998992[/C][C]26.2000000000003[/C][/ROW]
[ROW][C]10[/C][C]3960.05[/C][C]26.186701459583[/C][C]59.7999999999997[/C][/ROW]
[ROW][C]11[/C][C]4012[/C][C]21.7874581659571[/C][C]48.1999999999998[/C][/ROW]
[ROW][C]12[/C][C]4091.425[/C][C]28.5327151412785[/C][C]64.6000000000004[/C][/ROW]
[ROW][C]13[/C][C]4149.875[/C][C]8.30516907313369[/C][C]18.3000000000002[/C][/ROW]
[ROW][C]14[/C][C]4144.4[/C][C]2.79880927062427[/C][C]6.09999999999945[/C][/ROW]
[ROW][C]15[/C][C]4146.1[/C][C]2.37346441585568[/C][C]5.69999999999982[/C][/ROW]
[ROW][C]16[/C][C]4174.625[/C][C]15.6101195810068[/C][C]35.5[/C][/ROW]
[ROW][C]17[/C][C]4229.35[/C][C]13.7294088243694[/C][C]31.9000000000005[/C][/ROW]
[ROW][C]18[/C][C]4287.5[/C][C]24.4127016120709[/C][C]56.4000000000005[/C][/ROW]
[ROW][C]19[/C][C]4364.95[/C][C]26.0431052935960[/C][C]61.1999999999998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40707&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40707&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	3803.8	20.5734456683043	47.2000000000003
2	3845.3	8.61200712184254	18.5
3	3857.6	3.19270000678629	7.5
4	3852.7	9.10860399109915	20.9000000000001
5	3827.9	7.16007448750831	15.4000000000001
6	3811.675	4.77170479668065	11.3999999999996
7	3868.075	6.56778755239037	14.4000000000001
8	3881.25	3.08166621597262	6.80000000000018
9	3899.5	11.3783419998992	26.2000000000003
10	3960.05	26.186701459583	59.7999999999997
11	4012	21.7874581659571	48.1999999999998
12	4091.425	28.5327151412785	64.6000000000004
13	4149.875	8.30516907313369	18.3000000000002
14	4144.4	2.79880927062427	6.09999999999945
15	4146.1	2.37346441585568	5.69999999999982
16	4174.625	15.6101195810068	35.5
17	4229.35	13.7294088243694	31.9000000000005
18	4287.5	24.4127016120709	56.4000000000005
19	4364.95	26.0431052935960	61.1999999999998

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-68.8841921077012
beta	0.0203787542819351
S.D.	0.0111400235242774
T-STAT	1.82932776017248
p-value	0.0849462853790063

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -68.8841921077012 \tabularnewline
beta & 0.0203787542819351 \tabularnewline
S.D. & 0.0111400235242774 \tabularnewline
T-STAT & 1.82932776017248 \tabularnewline
p-value & 0.0849462853790063 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40707&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-68.8841921077012[/C][/ROW]
[ROW][C]beta[/C][C]0.0203787542819351[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0111400235242774[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.82932776017248[/C][/ROW]
[ROW][C]p-value[/C][C]0.0849462853790063[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40707&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40707&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	-68.8841921077012
beta	0.0203787542819351
S.D.	0.0111400235242774
T-STAT	1.82932776017248
p-value	0.0849462853790063

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-46.0965713914978
beta	5.82969958081817
S.D.	4.30820753902545
T-STAT	1.35316126904529
p-value	0.193726051506555
Lambda	-4.82969958081817

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -46.0965713914978 \tabularnewline
beta & 5.82969958081817 \tabularnewline
S.D. & 4.30820753902545 \tabularnewline
T-STAT & 1.35316126904529 \tabularnewline
p-value & 0.193726051506555 \tabularnewline
Lambda & -4.82969958081817 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40707&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-46.0965713914978[/C][/ROW]
[ROW][C]beta[/C][C]5.82969958081817[/C][/ROW]
[ROW][C]S.D.[/C][C]4.30820753902545[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.35316126904529[/C][/ROW]
[ROW][C]p-value[/C][C]0.193726051506555[/C][/ROW]
[ROW][C]Lambda[/C][C]-4.82969958081817[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40707&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40707&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	-46.0965713914978
beta	5.82969958081817
S.D.	4.30820753902545
T-STAT	1.35316126904529
p-value	0.193726051506555
Lambda	-4.82969958081817

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code