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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

Sun, 08 May 2011 22:36:42 +0000

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/May/09/t1304893965yu5cjf8ivf42xuj.htm/, Retrieved Tue, 14 May 2024 04:01:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121217, Retrieved Tue, 14 May 2024 04:01:45 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

123

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

-       [Standard Deviation-Mean Plot] [gemiddelde temper...] [2011-05-08 22:36:42] [8408ae72b9c03ee1c59e868ccc07a80d] [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	2 seconds
R Server	'George Udny Yule' @ 216.218.223.82

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121217&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121217&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121217&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	2 seconds
R Server	'George Udny Yule' @ 216.218.223.82

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	16.05	0.939858145324779	1.9
2	15.875	1.13247516529061	2.7
3	16.1	1.15181016954473	2.8
4	15.7	0.707106781186547	1.7
5	15.425	1.14418821295566	2.5
6	15.625	0.665206734782504	1.5
7	15.9	0.594418483337568	1.4
8	16.075	0.556027577253742	1.2
9	16.95	0.238047614284762	0.5
10	16.675	0.221735578260834	0.5
11	16.275	0.492442890089805	1.1
12	16.975	1.25266382827424	3
13	16.425	0.525198375219623	1.1
14	16.2	0.739369100427295	1.6
15	15.95	1.19582607431014	2.9
16	15.425	0.492442890089806	1.1
17	15.75	0.66583281184794	1.5
18	16.575	0.618465843842648	1.3
19	16.35	1.0785793124909	2.2
20	16.25	1.46173412995205	3.2
21	16.875	1.20933866224478	2.4
22	15.9	0.355902608401043	0.799999999999999
23	16.55	0.525991127935316	1.2
24	17.4	1.15181016954473	2.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 16.05 & 0.939858145324779 & 1.9 \tabularnewline
2 & 15.875 & 1.13247516529061 & 2.7 \tabularnewline
3 & 16.1 & 1.15181016954473 & 2.8 \tabularnewline
4 & 15.7 & 0.707106781186547 & 1.7 \tabularnewline
5 & 15.425 & 1.14418821295566 & 2.5 \tabularnewline
6 & 15.625 & 0.665206734782504 & 1.5 \tabularnewline
7 & 15.9 & 0.594418483337568 & 1.4 \tabularnewline
8 & 16.075 & 0.556027577253742 & 1.2 \tabularnewline
9 & 16.95 & 0.238047614284762 & 0.5 \tabularnewline
10 & 16.675 & 0.221735578260834 & 0.5 \tabularnewline
11 & 16.275 & 0.492442890089805 & 1.1 \tabularnewline
12 & 16.975 & 1.25266382827424 & 3 \tabularnewline
13 & 16.425 & 0.525198375219623 & 1.1 \tabularnewline
14 & 16.2 & 0.739369100427295 & 1.6 \tabularnewline
15 & 15.95 & 1.19582607431014 & 2.9 \tabularnewline
16 & 15.425 & 0.492442890089806 & 1.1 \tabularnewline
17 & 15.75 & 0.66583281184794 & 1.5 \tabularnewline
18 & 16.575 & 0.618465843842648 & 1.3 \tabularnewline
19 & 16.35 & 1.0785793124909 & 2.2 \tabularnewline
20 & 16.25 & 1.46173412995205 & 3.2 \tabularnewline
21 & 16.875 & 1.20933866224478 & 2.4 \tabularnewline
22 & 15.9 & 0.355902608401043 & 0.799999999999999 \tabularnewline
23 & 16.55 & 0.525991127935316 & 1.2 \tabularnewline
24 & 17.4 & 1.15181016954473 & 2.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121217&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]16.05[/C][C]0.939858145324779[/C][C]1.9[/C][/ROW]
[ROW][C]2[/C][C]15.875[/C][C]1.13247516529061[/C][C]2.7[/C][/ROW]
[ROW][C]3[/C][C]16.1[/C][C]1.15181016954473[/C][C]2.8[/C][/ROW]
[ROW][C]4[/C][C]15.7[/C][C]0.707106781186547[/C][C]1.7[/C][/ROW]
[ROW][C]5[/C][C]15.425[/C][C]1.14418821295566[/C][C]2.5[/C][/ROW]
[ROW][C]6[/C][C]15.625[/C][C]0.665206734782504[/C][C]1.5[/C][/ROW]
[ROW][C]7[/C][C]15.9[/C][C]0.594418483337568[/C][C]1.4[/C][/ROW]
[ROW][C]8[/C][C]16.075[/C][C]0.556027577253742[/C][C]1.2[/C][/ROW]
[ROW][C]9[/C][C]16.95[/C][C]0.238047614284762[/C][C]0.5[/C][/ROW]
[ROW][C]10[/C][C]16.675[/C][C]0.221735578260834[/C][C]0.5[/C][/ROW]
[ROW][C]11[/C][C]16.275[/C][C]0.492442890089805[/C][C]1.1[/C][/ROW]
[ROW][C]12[/C][C]16.975[/C][C]1.25266382827424[/C][C]3[/C][/ROW]
[ROW][C]13[/C][C]16.425[/C][C]0.525198375219623[/C][C]1.1[/C][/ROW]
[ROW][C]14[/C][C]16.2[/C][C]0.739369100427295[/C][C]1.6[/C][/ROW]
[ROW][C]15[/C][C]15.95[/C][C]1.19582607431014[/C][C]2.9[/C][/ROW]
[ROW][C]16[/C][C]15.425[/C][C]0.492442890089806[/C][C]1.1[/C][/ROW]
[ROW][C]17[/C][C]15.75[/C][C]0.66583281184794[/C][C]1.5[/C][/ROW]
[ROW][C]18[/C][C]16.575[/C][C]0.618465843842648[/C][C]1.3[/C][/ROW]
[ROW][C]19[/C][C]16.35[/C][C]1.0785793124909[/C][C]2.2[/C][/ROW]
[ROW][C]20[/C][C]16.25[/C][C]1.46173412995205[/C][C]3.2[/C][/ROW]
[ROW][C]21[/C][C]16.875[/C][C]1.20933866224478[/C][C]2.4[/C][/ROW]
[ROW][C]22[/C][C]15.9[/C][C]0.355902608401043[/C][C]0.799999999999999[/C][/ROW]
[ROW][C]23[/C][C]16.55[/C][C]0.525991127935316[/C][C]1.2[/C][/ROW]
[ROW][C]24[/C][C]17.4[/C][C]1.15181016954473[/C][C]2.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121217&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121217&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	16.05	0.939858145324779	1.9
2	15.875	1.13247516529061	2.7
3	16.1	1.15181016954473	2.8
4	15.7	0.707106781186547	1.7
5	15.425	1.14418821295566	2.5
6	15.625	0.665206734782504	1.5
7	15.9	0.594418483337568	1.4
8	16.075	0.556027577253742	1.2
9	16.95	0.238047614284762	0.5
10	16.675	0.221735578260834	0.5
11	16.275	0.492442890089805	1.1
12	16.975	1.25266382827424	3
13	16.425	0.525198375219623	1.1
14	16.2	0.739369100427295	1.6
15	15.95	1.19582607431014	2.9
16	15.425	0.492442890089806	1.1
17	15.75	0.66583281184794	1.5
18	16.575	0.618465843842648	1.3
19	16.35	1.0785793124909	2.2
20	16.25	1.46173412995205	3.2
21	16.875	1.20933866224478	2.4
22	15.9	0.355902608401043	0.799999999999999
23	16.55	0.525991127935316	1.2
24	17.4	1.15181016954473	2.5

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-0.011688953307895
beta	0.0498285457999654
S.D.	0.148118732262125
T-STAT	0.336409480684617
p-value	0.73974981767654

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.011688953307895 \tabularnewline
beta & 0.0498285457999654 \tabularnewline
S.D. & 0.148118732262125 \tabularnewline
T-STAT & 0.336409480684617 \tabularnewline
p-value & 0.73974981767654 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121217&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.011688953307895[/C][/ROW]
[ROW][C]beta[/C][C]0.0498285457999654[/C][/ROW]
[ROW][C]S.D.[/C][C]0.148118732262125[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.336409480684617[/C][/ROW]
[ROW][C]p-value[/C][C]0.73974981767654[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121217&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121217&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	-0.011688953307895
beta	0.0498285457999654
S.D.	0.148118732262125
T-STAT	0.336409480684617
p-value	0.73974981767654

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	1.61290171242504
beta	-0.701616066255443
S.D.	3.52183906280206
T-STAT	-0.199218662109228
p-value	0.843921449788057
Lambda	1.70161606625544

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.61290171242504 \tabularnewline
beta & -0.701616066255443 \tabularnewline
S.D. & 3.52183906280206 \tabularnewline
T-STAT & -0.199218662109228 \tabularnewline
p-value & 0.843921449788057 \tabularnewline
Lambda & 1.70161606625544 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121217&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.61290171242504[/C][/ROW]
[ROW][C]beta[/C][C]-0.701616066255443[/C][/ROW]
[ROW][C]S.D.[/C][C]3.52183906280206[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.199218662109228[/C][/ROW]
[ROW][C]p-value[/C][C]0.843921449788057[/C][/ROW]
[ROW][C]Lambda[/C][C]1.70161606625544[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121217&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121217&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	1.61290171242504
beta	-0.701616066255443
S.D.	3.52183906280206
T-STAT	-0.199218662109228
p-value	0.843921449788057
Lambda	1.70161606625544

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