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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

Sat, 03 Dec 2011 16:16:00 -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/Dec/03/t1322947231yt84sj0hpsubw11.htm/, Retrieved Sun, 28 Apr 2024 23:50:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150541, Retrieved Sun, 28 Apr 2024 23:50:11 +0000

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No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2011-12-03 21:16:00] [060caeb40c68cbb867cbfbfe8deeeb10] [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	'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=150541&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=150541&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150541&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	75.1675	0.269242765300516	0.580000000000013
2	75.555	0.0776745346515416	0.170000000000002
3	75.3125	0.0644851404071786	0.150000000000006
4	77.9775	0.306308667849932	0.719999999999999
5	77.4575	0.0189296944859968	0.039999999999992
6	78.29	0.374788829431541	0.799999999999997
7	78.3975	0.30059662894539	0.640000000000001
8	78.35	0.0673300329224145	0.140000000000001
9	78.95	0.454459385790782	0.980000000000004
10	79.225	0.216101827849743	0.469999999999999
11	79.19	0.0535412613473625	0.109999999999999
12	79.83	0.410690475500305	0.939999999999998
13	80.3525	0.160908876904494	0.36999999999999
14	79.88	0.0770281333886059	0.179999999999993
15	80.2825	0.309017259496403	0.650000000000006
16	80.2075	0.456170655201169	0.97999999999999
17	79.37	0.0905538513813734	0.189999999999998
18	79.9	0.256255081250438	0.540000000000006

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 75.1675 & 0.269242765300516 & 0.580000000000013 \tabularnewline
2 & 75.555 & 0.0776745346515416 & 0.170000000000002 \tabularnewline
3 & 75.3125 & 0.0644851404071786 & 0.150000000000006 \tabularnewline
4 & 77.9775 & 0.306308667849932 & 0.719999999999999 \tabularnewline
5 & 77.4575 & 0.0189296944859968 & 0.039999999999992 \tabularnewline
6 & 78.29 & 0.374788829431541 & 0.799999999999997 \tabularnewline
7 & 78.3975 & 0.30059662894539 & 0.640000000000001 \tabularnewline
8 & 78.35 & 0.0673300329224145 & 0.140000000000001 \tabularnewline
9 & 78.95 & 0.454459385790782 & 0.980000000000004 \tabularnewline
10 & 79.225 & 0.216101827849743 & 0.469999999999999 \tabularnewline
11 & 79.19 & 0.0535412613473625 & 0.109999999999999 \tabularnewline
12 & 79.83 & 0.410690475500305 & 0.939999999999998 \tabularnewline
13 & 80.3525 & 0.160908876904494 & 0.36999999999999 \tabularnewline
14 & 79.88 & 0.0770281333886059 & 0.179999999999993 \tabularnewline
15 & 80.2825 & 0.309017259496403 & 0.650000000000006 \tabularnewline
16 & 80.2075 & 0.456170655201169 & 0.97999999999999 \tabularnewline
17 & 79.37 & 0.0905538513813734 & 0.189999999999998 \tabularnewline
18 & 79.9 & 0.256255081250438 & 0.540000000000006 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150541&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]75.1675[/C][C]0.269242765300516[/C][C]0.580000000000013[/C][/ROW]
[ROW][C]2[/C][C]75.555[/C][C]0.0776745346515416[/C][C]0.170000000000002[/C][/ROW]
[ROW][C]3[/C][C]75.3125[/C][C]0.0644851404071786[/C][C]0.150000000000006[/C][/ROW]
[ROW][C]4[/C][C]77.9775[/C][C]0.306308667849932[/C][C]0.719999999999999[/C][/ROW]
[ROW][C]5[/C][C]77.4575[/C][C]0.0189296944859968[/C][C]0.039999999999992[/C][/ROW]
[ROW][C]6[/C][C]78.29[/C][C]0.374788829431541[/C][C]0.799999999999997[/C][/ROW]
[ROW][C]7[/C][C]78.3975[/C][C]0.30059662894539[/C][C]0.640000000000001[/C][/ROW]
[ROW][C]8[/C][C]78.35[/C][C]0.0673300329224145[/C][C]0.140000000000001[/C][/ROW]
[ROW][C]9[/C][C]78.95[/C][C]0.454459385790782[/C][C]0.980000000000004[/C][/ROW]
[ROW][C]10[/C][C]79.225[/C][C]0.216101827849743[/C][C]0.469999999999999[/C][/ROW]
[ROW][C]11[/C][C]79.19[/C][C]0.0535412613473625[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]12[/C][C]79.83[/C][C]0.410690475500305[/C][C]0.939999999999998[/C][/ROW]
[ROW][C]13[/C][C]80.3525[/C][C]0.160908876904494[/C][C]0.36999999999999[/C][/ROW]
[ROW][C]14[/C][C]79.88[/C][C]0.0770281333886059[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]15[/C][C]80.2825[/C][C]0.309017259496403[/C][C]0.650000000000006[/C][/ROW]
[ROW][C]16[/C][C]80.2075[/C][C]0.456170655201169[/C][C]0.97999999999999[/C][/ROW]
[ROW][C]17[/C][C]79.37[/C][C]0.0905538513813734[/C][C]0.189999999999998[/C][/ROW]
[ROW][C]18[/C][C]79.9[/C][C]0.256255081250438[/C][C]0.540000000000006[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150541&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150541&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	75.1675	0.269242765300516	0.580000000000013
2	75.555	0.0776745346515416	0.170000000000002
3	75.3125	0.0644851404071786	0.150000000000006
4	77.9775	0.306308667849932	0.719999999999999
5	77.4575	0.0189296944859968	0.039999999999992
6	78.29	0.374788829431541	0.799999999999997
7	78.3975	0.30059662894539	0.640000000000001
8	78.35	0.0673300329224145	0.140000000000001
9	78.95	0.454459385790782	0.980000000000004
10	79.225	0.216101827849743	0.469999999999999
11	79.19	0.0535412613473625	0.109999999999999
12	79.83	0.410690475500305	0.939999999999998
13	80.3525	0.160908876904494	0.36999999999999
14	79.88	0.0770281333886059	0.179999999999993
15	80.2825	0.309017259496403	0.650000000000006
16	80.2075	0.456170655201169	0.97999999999999
17	79.37	0.0905538513813734	0.189999999999998
18	79.9	0.256255081250438	0.540000000000006

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.93817250740339
beta	0.0274820157356193
S.D.	0.0208358362915211
T-STAT	1.31897829062915
p-value	0.205743155604666

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1.93817250740339 \tabularnewline
beta & 0.0274820157356193 \tabularnewline
S.D. & 0.0208358362915211 \tabularnewline
T-STAT & 1.31897829062915 \tabularnewline
p-value & 0.205743155604666 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150541&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.93817250740339[/C][/ROW]
[ROW][C]beta[/C][C]0.0274820157356193[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0208358362915211[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.31897829062915[/C][/ROW]
[ROW][C]p-value[/C][C]0.205743155604666[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150541&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150541&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	-1.93817250740339
beta	0.0274820157356193
S.D.	0.0208358362915211
T-STAT	1.31897829062915
p-value	0.205743155604666

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-60.1417127503582
beta	13.3645380416699
S.D.	10.030418237632
T-STAT	1.33240087552172
p-value	0.201395234384745
Lambda	-12.3645380416699

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -60.1417127503582 \tabularnewline
beta & 13.3645380416699 \tabularnewline
S.D. & 10.030418237632 \tabularnewline
T-STAT & 1.33240087552172 \tabularnewline
p-value & 0.201395234384745 \tabularnewline
Lambda & -12.3645380416699 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150541&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-60.1417127503582[/C][/ROW]
[ROW][C]beta[/C][C]13.3645380416699[/C][/ROW]
[ROW][C]S.D.[/C][C]10.030418237632[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.33240087552172[/C][/ROW]
[ROW][C]p-value[/C][C]0.201395234384745[/C][/ROW]
[ROW][C]Lambda[/C][C]-12.3645380416699[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150541&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150541&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	-60.1417127503582
beta	13.3645380416699
S.D.	10.030418237632
T-STAT	1.33240087552172
p-value	0.201395234384745
Lambda	-12.3645380416699

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code