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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, 06 Jan 2009 13:46:46 -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/2009/Jan/06/t1231274843tehzrxdyivwgdxk.htm/, Retrieved Sun, 05 May 2024 05:09:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36783, Retrieved Sun, 05 May 2024 05:09:23 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

238

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...] [2009-01-06 20:46:46] [59eb7d50a05a673a4523845c066501a9] [Current]
-   P     [Standard Deviation-Mean Plot] [Opgave 8-Oefening...] [2009-01-15 18:50:44] [ca4e42c3236d1c0cb4de680f9dd82ba0] 

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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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 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=36783&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]3 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=36783&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36783&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	101.9	0.244948974278317	0.5
2	102.025	0.0957427107756284	0.199999999999989
3	102.5	0.294392028877594	0.599999999999994
4	103.25	0.191485421551270	0.400000000000006
5	103.625	0.275378527364308	0.600000000000009
6	104.4	0.439696865275763	1
7	105.4	0.230940107675845	0.399999999999991
8	106.45	0.310912635102963	0.700000000000003
9	107.3	0.0816496580927738	0.200000000000003
10	108.0425	0.405575722481841	0.829999999999998
11	108.0975	0.162147052599380	0.379999999999995
12	108.8425	0.222467226050643	0.400000000000006
13	109.5375	0.359756862338996	0.799999999999997
14	109.885	0.199081222955189	0.469999999999999
15	110.12	0.0905538513813781	0.210000000000008
16	110.7275	0.399864560403476	0.849999999999994
17	109.935	0.204042479237372	0.450000000000003
18	110.3325	0.134257215820980	0.300000000000011
19	110.99	0.258327956933302	0.549999999999997
20	111.7475	0.0655108133567773	0.140000000000001
21	111.91	0.143527000944075	0.310000000000002

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.9 & 0.244948974278317 & 0.5 \tabularnewline
2 & 102.025 & 0.0957427107756284 & 0.199999999999989 \tabularnewline
3 & 102.5 & 0.294392028877594 & 0.599999999999994 \tabularnewline
4 & 103.25 & 0.191485421551270 & 0.400000000000006 \tabularnewline
5 & 103.625 & 0.275378527364308 & 0.600000000000009 \tabularnewline
6 & 104.4 & 0.439696865275763 & 1 \tabularnewline
7 & 105.4 & 0.230940107675845 & 0.399999999999991 \tabularnewline
8 & 106.45 & 0.310912635102963 & 0.700000000000003 \tabularnewline
9 & 107.3 & 0.0816496580927738 & 0.200000000000003 \tabularnewline
10 & 108.0425 & 0.405575722481841 & 0.829999999999998 \tabularnewline
11 & 108.0975 & 0.162147052599380 & 0.379999999999995 \tabularnewline
12 & 108.8425 & 0.222467226050643 & 0.400000000000006 \tabularnewline
13 & 109.5375 & 0.359756862338996 & 0.799999999999997 \tabularnewline
14 & 109.885 & 0.199081222955189 & 0.469999999999999 \tabularnewline
15 & 110.12 & 0.0905538513813781 & 0.210000000000008 \tabularnewline
16 & 110.7275 & 0.399864560403476 & 0.849999999999994 \tabularnewline
17 & 109.935 & 0.204042479237372 & 0.450000000000003 \tabularnewline
18 & 110.3325 & 0.134257215820980 & 0.300000000000011 \tabularnewline
19 & 110.99 & 0.258327956933302 & 0.549999999999997 \tabularnewline
20 & 111.7475 & 0.0655108133567773 & 0.140000000000001 \tabularnewline
21 & 111.91 & 0.143527000944075 & 0.310000000000002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36783&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]101.9[/C][C]0.244948974278317[/C][C]0.5[/C][/ROW]
[ROW][C]2[/C][C]102.025[/C][C]0.0957427107756284[/C][C]0.199999999999989[/C][/ROW]
[ROW][C]3[/C][C]102.5[/C][C]0.294392028877594[/C][C]0.599999999999994[/C][/ROW]
[ROW][C]4[/C][C]103.25[/C][C]0.191485421551270[/C][C]0.400000000000006[/C][/ROW]
[ROW][C]5[/C][C]103.625[/C][C]0.275378527364308[/C][C]0.600000000000009[/C][/ROW]
[ROW][C]6[/C][C]104.4[/C][C]0.439696865275763[/C][C]1[/C][/ROW]
[ROW][C]7[/C][C]105.4[/C][C]0.230940107675845[/C][C]0.399999999999991[/C][/ROW]
[ROW][C]8[/C][C]106.45[/C][C]0.310912635102963[/C][C]0.700000000000003[/C][/ROW]
[ROW][C]9[/C][C]107.3[/C][C]0.0816496580927738[/C][C]0.200000000000003[/C][/ROW]
[ROW][C]10[/C][C]108.0425[/C][C]0.405575722481841[/C][C]0.829999999999998[/C][/ROW]
[ROW][C]11[/C][C]108.0975[/C][C]0.162147052599380[/C][C]0.379999999999995[/C][/ROW]
[ROW][C]12[/C][C]108.8425[/C][C]0.222467226050643[/C][C]0.400000000000006[/C][/ROW]
[ROW][C]13[/C][C]109.5375[/C][C]0.359756862338996[/C][C]0.799999999999997[/C][/ROW]
[ROW][C]14[/C][C]109.885[/C][C]0.199081222955189[/C][C]0.469999999999999[/C][/ROW]
[ROW][C]15[/C][C]110.12[/C][C]0.0905538513813781[/C][C]0.210000000000008[/C][/ROW]
[ROW][C]16[/C][C]110.7275[/C][C]0.399864560403476[/C][C]0.849999999999994[/C][/ROW]
[ROW][C]17[/C][C]109.935[/C][C]0.204042479237372[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]18[/C][C]110.3325[/C][C]0.134257215820980[/C][C]0.300000000000011[/C][/ROW]
[ROW][C]19[/C][C]110.99[/C][C]0.258327956933302[/C][C]0.549999999999997[/C][/ROW]
[ROW][C]20[/C][C]111.7475[/C][C]0.0655108133567773[/C][C]0.140000000000001[/C][/ROW]
[ROW][C]21[/C][C]111.91[/C][C]0.143527000944075[/C][C]0.310000000000002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36783&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36783&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	101.9	0.244948974278317	0.5
2	102.025	0.0957427107756284	0.199999999999989
3	102.5	0.294392028877594	0.599999999999994
4	103.25	0.191485421551270	0.400000000000006
5	103.625	0.275378527364308	0.600000000000009
6	104.4	0.439696865275763	1
7	105.4	0.230940107675845	0.399999999999991
8	106.45	0.310912635102963	0.700000000000003
9	107.3	0.0816496580927738	0.200000000000003
10	108.0425	0.405575722481841	0.829999999999998
11	108.0975	0.162147052599380	0.379999999999995
12	108.8425	0.222467226050643	0.400000000000006
13	109.5375	0.359756862338996	0.799999999999997
14	109.885	0.199081222955189	0.469999999999999
15	110.12	0.0905538513813781	0.210000000000008
16	110.7275	0.399864560403476	0.849999999999994
17	109.935	0.204042479237372	0.450000000000003
18	110.3325	0.134257215820980	0.300000000000011
19	110.99	0.258327956933302	0.549999999999997
20	111.7475	0.0655108133567773	0.140000000000001
21	111.91	0.143527000944075	0.310000000000002

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.836833840084859
beta	-0.00565491926769915
S.D.	0.00741479735994298
T-STAT	-0.762653245016346
p-value	0.455035134313888

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.836833840084859 \tabularnewline
beta & -0.00565491926769915 \tabularnewline
S.D. & 0.00741479735994298 \tabularnewline
T-STAT & -0.762653245016346 \tabularnewline
p-value & 0.455035134313888 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36783&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.836833840084859[/C][/ROW]
[ROW][C]beta[/C][C]-0.00565491926769915[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00741479735994298[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.762653245016346[/C][/ROW]
[ROW][C]p-value[/C][C]0.455035134313888[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36783&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36783&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	0.836833840084859
beta	-0.00565491926769915
S.D.	0.00741479735994298
T-STAT	-0.762653245016346
p-value	0.455035134313888

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	15.1209081616136
beta	-3.57606184268252
S.D.	3.91051218117276
T-STAT	-0.91447403230184
p-value	0.371927836784721
Lambda	4.57606184268252

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.1209081616136 \tabularnewline
beta & -3.57606184268252 \tabularnewline
S.D. & 3.91051218117276 \tabularnewline
T-STAT & -0.91447403230184 \tabularnewline
p-value & 0.371927836784721 \tabularnewline
Lambda & 4.57606184268252 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36783&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.1209081616136[/C][/ROW]
[ROW][C]beta[/C][C]-3.57606184268252[/C][/ROW]
[ROW][C]S.D.[/C][C]3.91051218117276[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.91447403230184[/C][/ROW]
[ROW][C]p-value[/C][C]0.371927836784721[/C][/ROW]
[ROW][C]Lambda[/C][C]4.57606184268252[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36783&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36783&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	15.1209081616136
beta	-3.57606184268252
S.D.	3.91051218117276
T-STAT	-0.91447403230184
p-value	0.371927836784721
Lambda	4.57606184268252

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