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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

Tue, 29 Nov 2011 03:35:58 -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/2011/Nov/29/t1322555938hemwppztuero1pv.htm/, Retrieved Wed, 24 Apr 2024 04:32:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148105, Retrieved Wed, 24 Apr 2024 04:32:12 +0000

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Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

102

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

-       [Standard Deviation-Mean Plot] [gemiddelde consum...] [2011-11-29 08:35:58] [08802a004a000ae20ac4145e9a22f7e4] [Current]

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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	'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148105&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148105&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148105&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	14.37	0.552871293039046	1.31
2	14.805	0.552418923161279	1.32
3	15.6925	0.336786282380978	0.74
4	15.555	0.372245438745281	0.83
5	16.12	0.636396103067893	1.35
6	17.3675	0.39423977475643	0.930000000000003
7	17.13	0.582237065120385	1.24
8	17.58	0.42134704619035	0.890000000000001
9	18.02	0.257681974534502	0.539999999999999
10	16.995	0.603351749258535	1.28
11	17.2925	0.523537645892505	1.15
12	17.51	0.0621825270205908	0.139999999999997
13	16.8475	0.677169353510134	1.6
14	17.0475	0.739881747308312	1.61
15	17.6875	0.383785964655649	0.870000000000001
16	17.3375	0.649069847294315	1.34
17	17.605	0.655362495112438	1.39
18	18.275	0.179164728671689	0.419999999999998
19	18.06	0.308220700148448	0.689999999999998
20	18.81	0.627694193059009	1.52
21	19.6875	0.331800642956982	0.77
22	19.315	0.702685325495464	1.55
23	19.2875	0.551988828389367	1.19
24	20.575	0.122610494384996	0.299999999999997
25	20.09	0.747484670968799	1.7
26	19.805	0.473884655445466	1.04
27	19.6075	0.41939440466781	1
28	18.1175	0.990870829119518	2.14
29	17.7525	0.372144685124841	0.830000000000002
30	17.98	0.269196334794266	0.649999999999999
31	17.9025	0.253163320144657	0.549999999999997
32	18.61	0.617035925480303	1.37
33	19.5425	0.342381366315401	0.830000000000002

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14.37 & 0.552871293039046 & 1.31 \tabularnewline
2 & 14.805 & 0.552418923161279 & 1.32 \tabularnewline
3 & 15.6925 & 0.336786282380978 & 0.74 \tabularnewline
4 & 15.555 & 0.372245438745281 & 0.83 \tabularnewline
5 & 16.12 & 0.636396103067893 & 1.35 \tabularnewline
6 & 17.3675 & 0.39423977475643 & 0.930000000000003 \tabularnewline
7 & 17.13 & 0.582237065120385 & 1.24 \tabularnewline
8 & 17.58 & 0.42134704619035 & 0.890000000000001 \tabularnewline
9 & 18.02 & 0.257681974534502 & 0.539999999999999 \tabularnewline
10 & 16.995 & 0.603351749258535 & 1.28 \tabularnewline
11 & 17.2925 & 0.523537645892505 & 1.15 \tabularnewline
12 & 17.51 & 0.0621825270205908 & 0.139999999999997 \tabularnewline
13 & 16.8475 & 0.677169353510134 & 1.6 \tabularnewline
14 & 17.0475 & 0.739881747308312 & 1.61 \tabularnewline
15 & 17.6875 & 0.383785964655649 & 0.870000000000001 \tabularnewline
16 & 17.3375 & 0.649069847294315 & 1.34 \tabularnewline
17 & 17.605 & 0.655362495112438 & 1.39 \tabularnewline
18 & 18.275 & 0.179164728671689 & 0.419999999999998 \tabularnewline
19 & 18.06 & 0.308220700148448 & 0.689999999999998 \tabularnewline
20 & 18.81 & 0.627694193059009 & 1.52 \tabularnewline
21 & 19.6875 & 0.331800642956982 & 0.77 \tabularnewline
22 & 19.315 & 0.702685325495464 & 1.55 \tabularnewline
23 & 19.2875 & 0.551988828389367 & 1.19 \tabularnewline
24 & 20.575 & 0.122610494384996 & 0.299999999999997 \tabularnewline
25 & 20.09 & 0.747484670968799 & 1.7 \tabularnewline
26 & 19.805 & 0.473884655445466 & 1.04 \tabularnewline
27 & 19.6075 & 0.41939440466781 & 1 \tabularnewline
28 & 18.1175 & 0.990870829119518 & 2.14 \tabularnewline
29 & 17.7525 & 0.372144685124841 & 0.830000000000002 \tabularnewline
30 & 17.98 & 0.269196334794266 & 0.649999999999999 \tabularnewline
31 & 17.9025 & 0.253163320144657 & 0.549999999999997 \tabularnewline
32 & 18.61 & 0.617035925480303 & 1.37 \tabularnewline
33 & 19.5425 & 0.342381366315401 & 0.830000000000002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148105&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]14.37[/C][C]0.552871293039046[/C][C]1.31[/C][/ROW]
[ROW][C]2[/C][C]14.805[/C][C]0.552418923161279[/C][C]1.32[/C][/ROW]
[ROW][C]3[/C][C]15.6925[/C][C]0.336786282380978[/C][C]0.74[/C][/ROW]
[ROW][C]4[/C][C]15.555[/C][C]0.372245438745281[/C][C]0.83[/C][/ROW]
[ROW][C]5[/C][C]16.12[/C][C]0.636396103067893[/C][C]1.35[/C][/ROW]
[ROW][C]6[/C][C]17.3675[/C][C]0.39423977475643[/C][C]0.930000000000003[/C][/ROW]
[ROW][C]7[/C][C]17.13[/C][C]0.582237065120385[/C][C]1.24[/C][/ROW]
[ROW][C]8[/C][C]17.58[/C][C]0.42134704619035[/C][C]0.890000000000001[/C][/ROW]
[ROW][C]9[/C][C]18.02[/C][C]0.257681974534502[/C][C]0.539999999999999[/C][/ROW]
[ROW][C]10[/C][C]16.995[/C][C]0.603351749258535[/C][C]1.28[/C][/ROW]
[ROW][C]11[/C][C]17.2925[/C][C]0.523537645892505[/C][C]1.15[/C][/ROW]
[ROW][C]12[/C][C]17.51[/C][C]0.0621825270205908[/C][C]0.139999999999997[/C][/ROW]
[ROW][C]13[/C][C]16.8475[/C][C]0.677169353510134[/C][C]1.6[/C][/ROW]
[ROW][C]14[/C][C]17.0475[/C][C]0.739881747308312[/C][C]1.61[/C][/ROW]
[ROW][C]15[/C][C]17.6875[/C][C]0.383785964655649[/C][C]0.870000000000001[/C][/ROW]
[ROW][C]16[/C][C]17.3375[/C][C]0.649069847294315[/C][C]1.34[/C][/ROW]
[ROW][C]17[/C][C]17.605[/C][C]0.655362495112438[/C][C]1.39[/C][/ROW]
[ROW][C]18[/C][C]18.275[/C][C]0.179164728671689[/C][C]0.419999999999998[/C][/ROW]
[ROW][C]19[/C][C]18.06[/C][C]0.308220700148448[/C][C]0.689999999999998[/C][/ROW]
[ROW][C]20[/C][C]18.81[/C][C]0.627694193059009[/C][C]1.52[/C][/ROW]
[ROW][C]21[/C][C]19.6875[/C][C]0.331800642956982[/C][C]0.77[/C][/ROW]
[ROW][C]22[/C][C]19.315[/C][C]0.702685325495464[/C][C]1.55[/C][/ROW]
[ROW][C]23[/C][C]19.2875[/C][C]0.551988828389367[/C][C]1.19[/C][/ROW]
[ROW][C]24[/C][C]20.575[/C][C]0.122610494384996[/C][C]0.299999999999997[/C][/ROW]
[ROW][C]25[/C][C]20.09[/C][C]0.747484670968799[/C][C]1.7[/C][/ROW]
[ROW][C]26[/C][C]19.805[/C][C]0.473884655445466[/C][C]1.04[/C][/ROW]
[ROW][C]27[/C][C]19.6075[/C][C]0.41939440466781[/C][C]1[/C][/ROW]
[ROW][C]28[/C][C]18.1175[/C][C]0.990870829119518[/C][C]2.14[/C][/ROW]
[ROW][C]29[/C][C]17.7525[/C][C]0.372144685124841[/C][C]0.830000000000002[/C][/ROW]
[ROW][C]30[/C][C]17.98[/C][C]0.269196334794266[/C][C]0.649999999999999[/C][/ROW]
[ROW][C]31[/C][C]17.9025[/C][C]0.253163320144657[/C][C]0.549999999999997[/C][/ROW]
[ROW][C]32[/C][C]18.61[/C][C]0.617035925480303[/C][C]1.37[/C][/ROW]
[ROW][C]33[/C][C]19.5425[/C][C]0.342381366315401[/C][C]0.830000000000002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148105&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148105&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	14.37	0.552871293039046	1.31
2	14.805	0.552418923161279	1.32
3	15.6925	0.336786282380978	0.74
4	15.555	0.372245438745281	0.83
5	16.12	0.636396103067893	1.35
6	17.3675	0.39423977475643	0.930000000000003
7	17.13	0.582237065120385	1.24
8	17.58	0.42134704619035	0.890000000000001
9	18.02	0.257681974534502	0.539999999999999
10	16.995	0.603351749258535	1.28
11	17.2925	0.523537645892505	1.15
12	17.51	0.0621825270205908	0.139999999999997
13	16.8475	0.677169353510134	1.6
14	17.0475	0.739881747308312	1.61
15	17.6875	0.383785964655649	0.870000000000001
16	17.3375	0.649069847294315	1.34
17	17.605	0.655362495112438	1.39
18	18.275	0.179164728671689	0.419999999999998
19	18.06	0.308220700148448	0.689999999999998
20	18.81	0.627694193059009	1.52
21	19.6875	0.331800642956982	0.77
22	19.315	0.702685325495464	1.55
23	19.2875	0.551988828389367	1.19
24	20.575	0.122610494384996	0.299999999999997
25	20.09	0.747484670968799	1.7
26	19.805	0.473884655445466	1.04
27	19.6075	0.41939440466781	1
28	18.1175	0.990870829119518	2.14
29	17.7525	0.372144685124841	0.830000000000002
30	17.98	0.269196334794266	0.649999999999999
31	17.9025	0.253163320144657	0.549999999999997
32	18.61	0.617035925480303	1.37
33	19.5425	0.342381366315401	0.830000000000002

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.76469569486532
beta	-0.0161879594723476
S.D.	0.0246155874421387
T-STAT	-0.65763043479661
p-value	0.515629457170946

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.76469569486532 \tabularnewline
beta & -0.0161879594723476 \tabularnewline
S.D. & 0.0246155874421387 \tabularnewline
T-STAT & -0.65763043479661 \tabularnewline
p-value & 0.515629457170946 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148105&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.76469569486532[/C][/ROW]
[ROW][C]beta[/C][C]-0.0161879594723476[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0246155874421387[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.65763043479661[/C][/ROW]
[ROW][C]p-value[/C][C]0.515629457170946[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148105&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148105&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	0.76469569486532
beta	-0.0161879594723476
S.D.	0.0246155874421387
T-STAT	-0.65763043479661
p-value	0.515629457170946

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	2.08989594799812
beta	-1.02640694389354
S.D.	1.17932480306089
T-STAT	-0.870334399165983
p-value	0.390807496261937
Lambda	2.02640694389354

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.08989594799812 \tabularnewline
beta & -1.02640694389354 \tabularnewline
S.D. & 1.17932480306089 \tabularnewline
T-STAT & -0.870334399165983 \tabularnewline
p-value & 0.390807496261937 \tabularnewline
Lambda & 2.02640694389354 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148105&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.08989594799812[/C][/ROW]
[ROW][C]beta[/C][C]-1.02640694389354[/C][/ROW]
[ROW][C]S.D.[/C][C]1.17932480306089[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.870334399165983[/C][/ROW]
[ROW][C]p-value[/C][C]0.390807496261937[/C][/ROW]
[ROW][C]Lambda[/C][C]2.02640694389354[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148105&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148105&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	2.08989594799812
beta	-1.02640694389354
S.D.	1.17932480306089
T-STAT	-0.870334399165983
p-value	0.390807496261937
Lambda	2.02640694389354

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