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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 12 Dec 2008 05:32:54 -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/Dec/12/t1229085268unaptrtrfd16yuh.htm/, Retrieved Sun, 19 May 2024 05:55:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32627, Retrieved Sun, 19 May 2024 05:55:19 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

171

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

-     [Standard Deviation-Mean Plot] [] [2008-12-12 12:13:32] [fad8a251ac01c156a8ae23a83577546f]
-    D    [Standard Deviation-Mean Plot] [Niet-duurz cons] [2008-12-12 12:32:54] [fa8b44cd657c07c6ee11bb2476ca3f8d] [Current]

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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=32627&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=32627&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32627&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	97.225	2.27651048756644	5.10000000000001
2	90.925	6.26970227894967	14.7
3	105.825	5.47075558462144	12.8
4	98.925	6.93271231193102	15.6
5	96.9	7.26819555781672	15.8
6	107.725	2.94321253055229	6.60000000000001
7	99.775	4.2687820276983	9
8	97.125	8.01597363601786	19.3
9	106.375	3.40917878674616	7.8
10	100.35	7.69653601736955	17
11	101.95	7.72377282593596	18.4
12	112.65	3.82317494586197	8.7
13	106.1	6.70870081809188	14.1
14	108.65	3.45398320783411	8.4
15	115.825	6.61381130665217	15.6

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 97.225 & 2.27651048756644 & 5.10000000000001 \tabularnewline
2 & 90.925 & 6.26970227894967 & 14.7 \tabularnewline
3 & 105.825 & 5.47075558462144 & 12.8 \tabularnewline
4 & 98.925 & 6.93271231193102 & 15.6 \tabularnewline
5 & 96.9 & 7.26819555781672 & 15.8 \tabularnewline
6 & 107.725 & 2.94321253055229 & 6.60000000000001 \tabularnewline
7 & 99.775 & 4.2687820276983 & 9 \tabularnewline
8 & 97.125 & 8.01597363601786 & 19.3 \tabularnewline
9 & 106.375 & 3.40917878674616 & 7.8 \tabularnewline
10 & 100.35 & 7.69653601736955 & 17 \tabularnewline
11 & 101.95 & 7.72377282593596 & 18.4 \tabularnewline
12 & 112.65 & 3.82317494586197 & 8.7 \tabularnewline
13 & 106.1 & 6.70870081809188 & 14.1 \tabularnewline
14 & 108.65 & 3.45398320783411 & 8.4 \tabularnewline
15 & 115.825 & 6.61381130665217 & 15.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32627&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]97.225[/C][C]2.27651048756644[/C][C]5.10000000000001[/C][/ROW]
[ROW][C]2[/C][C]90.925[/C][C]6.26970227894967[/C][C]14.7[/C][/ROW]
[ROW][C]3[/C][C]105.825[/C][C]5.47075558462144[/C][C]12.8[/C][/ROW]
[ROW][C]4[/C][C]98.925[/C][C]6.93271231193102[/C][C]15.6[/C][/ROW]
[ROW][C]5[/C][C]96.9[/C][C]7.26819555781672[/C][C]15.8[/C][/ROW]
[ROW][C]6[/C][C]107.725[/C][C]2.94321253055229[/C][C]6.60000000000001[/C][/ROW]
[ROW][C]7[/C][C]99.775[/C][C]4.2687820276983[/C][C]9[/C][/ROW]
[ROW][C]8[/C][C]97.125[/C][C]8.01597363601786[/C][C]19.3[/C][/ROW]
[ROW][C]9[/C][C]106.375[/C][C]3.40917878674616[/C][C]7.8[/C][/ROW]
[ROW][C]10[/C][C]100.35[/C][C]7.69653601736955[/C][C]17[/C][/ROW]
[ROW][C]11[/C][C]101.95[/C][C]7.72377282593596[/C][C]18.4[/C][/ROW]
[ROW][C]12[/C][C]112.65[/C][C]3.82317494586197[/C][C]8.7[/C][/ROW]
[ROW][C]13[/C][C]106.1[/C][C]6.70870081809188[/C][C]14.1[/C][/ROW]
[ROW][C]14[/C][C]108.65[/C][C]3.45398320783411[/C][C]8.4[/C][/ROW]
[ROW][C]15[/C][C]115.825[/C][C]6.61381130665217[/C][C]15.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32627&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32627&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	97.225	2.27651048756644	5.10000000000001
2	90.925	6.26970227894967	14.7
3	105.825	5.47075558462144	12.8
4	98.925	6.93271231193102	15.6
5	96.9	7.26819555781672	15.8
6	107.725	2.94321253055229	6.60000000000001
7	99.775	4.2687820276983	9
8	97.125	8.01597363601786	19.3
9	106.375	3.40917878674616	7.8
10	100.35	7.69653601736955	17
11	101.95	7.72377282593596	18.4
12	112.65	3.82317494586197	8.7
13	106.1	6.70870081809188	14.1
14	108.65	3.45398320783411	8.4
15	115.825	6.61381130665217	15.6

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	14.6099273938207
beta	-0.088127598392101
S.D.	0.0779538899677345
T-STAT	-1.13050931042155
p-value	0.278688125053346

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 14.6099273938207 \tabularnewline
beta & -0.088127598392101 \tabularnewline
S.D. & 0.0779538899677345 \tabularnewline
T-STAT & -1.13050931042155 \tabularnewline
p-value & 0.278688125053346 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32627&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.6099273938207[/C][/ROW]
[ROW][C]beta[/C][C]-0.088127598392101[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0779538899677345[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.13050931042155[/C][/ROW]
[ROW][C]p-value[/C][C]0.278688125053346[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32627&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32627&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	14.6099273938207
beta	-0.088127598392101
S.D.	0.0779538899677345
T-STAT	-1.13050931042155
p-value	0.278688125053346

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.94617274536399
beta	-1.57713868795432
S.D.	1.69322259713308
T-STAT	-0.931442026951857
p-value	0.368600894836975
Lambda	2.57713868795432

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.94617274536399 \tabularnewline
beta & -1.57713868795432 \tabularnewline
S.D. & 1.69322259713308 \tabularnewline
T-STAT & -0.931442026951857 \tabularnewline
p-value & 0.368600894836975 \tabularnewline
Lambda & 2.57713868795432 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32627&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.94617274536399[/C][/ROW]
[ROW][C]beta[/C][C]-1.57713868795432[/C][/ROW]
[ROW][C]S.D.[/C][C]1.69322259713308[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.931442026951857[/C][/ROW]
[ROW][C]p-value[/C][C]0.368600894836975[/C][/ROW]
[ROW][C]Lambda[/C][C]2.57713868795432[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32627&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32627&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	8.94617274536399
beta	-1.57713868795432
S.D.	1.69322259713308
T-STAT	-0.931442026951857
p-value	0.368600894836975
Lambda	2.57713868795432

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