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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

Wed, 24 Dec 2008 07:23:09 -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/24/t1230128620iz0jrg4ol9y2dmr.htm/, Retrieved Sun, 19 May 2024 12:35:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36588, Retrieved Sun, 19 May 2024 12:35:46 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

149

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

-       [Standard Deviation-Mean Plot] [] [2008-12-24 14:23:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Boxplots

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36588&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36588&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36588&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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	558.25	3.77491721763537	7
2	554.5	26.5141471671257	57
3	607.25	8.88350531415762	19
4	589.75	4.57347424467075	11
5	582.5	25.7875939164553	54
6	616	16.0208197875972	34
7	590	7.25718035235908	17
8	585	23.3380947522857	47
9	600	28.1424945589406	60
10	549.75	12.8419884233972	29
11	522.75	24.1712639305436	56
12	536	23.3380947522857	55
13	508	10.6770782520313	24
14	491.25	25.9663243451976	59
15	515	14.3759057685652	32

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 558.25 & 3.77491721763537 & 7 \tabularnewline
2 & 554.5 & 26.5141471671257 & 57 \tabularnewline
3 & 607.25 & 8.88350531415762 & 19 \tabularnewline
4 & 589.75 & 4.57347424467075 & 11 \tabularnewline
5 & 582.5 & 25.7875939164553 & 54 \tabularnewline
6 & 616 & 16.0208197875972 & 34 \tabularnewline
7 & 590 & 7.25718035235908 & 17 \tabularnewline
8 & 585 & 23.3380947522857 & 47 \tabularnewline
9 & 600 & 28.1424945589406 & 60 \tabularnewline
10 & 549.75 & 12.8419884233972 & 29 \tabularnewline
11 & 522.75 & 24.1712639305436 & 56 \tabularnewline
12 & 536 & 23.3380947522857 & 55 \tabularnewline
13 & 508 & 10.6770782520313 & 24 \tabularnewline
14 & 491.25 & 25.9663243451976 & 59 \tabularnewline
15 & 515 & 14.3759057685652 & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36588&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]558.25[/C][C]3.77491721763537[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]554.5[/C][C]26.5141471671257[/C][C]57[/C][/ROW]
[ROW][C]3[/C][C]607.25[/C][C]8.88350531415762[/C][C]19[/C][/ROW]
[ROW][C]4[/C][C]589.75[/C][C]4.57347424467075[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]582.5[/C][C]25.7875939164553[/C][C]54[/C][/ROW]
[ROW][C]6[/C][C]616[/C][C]16.0208197875972[/C][C]34[/C][/ROW]
[ROW][C]7[/C][C]590[/C][C]7.25718035235908[/C][C]17[/C][/ROW]
[ROW][C]8[/C][C]585[/C][C]23.3380947522857[/C][C]47[/C][/ROW]
[ROW][C]9[/C][C]600[/C][C]28.1424945589406[/C][C]60[/C][/ROW]
[ROW][C]10[/C][C]549.75[/C][C]12.8419884233972[/C][C]29[/C][/ROW]
[ROW][C]11[/C][C]522.75[/C][C]24.1712639305436[/C][C]56[/C][/ROW]
[ROW][C]12[/C][C]536[/C][C]23.3380947522857[/C][C]55[/C][/ROW]
[ROW][C]13[/C][C]508[/C][C]10.6770782520313[/C][C]24[/C][/ROW]
[ROW][C]14[/C][C]491.25[/C][C]25.9663243451976[/C][C]59[/C][/ROW]
[ROW][C]15[/C][C]515[/C][C]14.3759057685652[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36588&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36588&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	558.25	3.77491721763537	7
2	554.5	26.5141471671257	57
3	607.25	8.88350531415762	19
4	589.75	4.57347424467075	11
5	582.5	25.7875939164553	54
6	616	16.0208197875972	34
7	590	7.25718035235908	17
8	585	23.3380947522857	47
9	600	28.1424945589406	60
10	549.75	12.8419884233972	29
11	522.75	24.1712639305436	56
12	536	23.3380947522857	55
13	508	10.6770782520313	24
14	491.25	25.9663243451976	59
15	515	14.3759057685652	32

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	39.8907417883013
beta	-0.0407682897979147
S.D.	0.0606021507174724
T-STAT	-0.67272018097141
p-value	0.512906276006503

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 39.8907417883013 \tabularnewline
beta & -0.0407682897979147 \tabularnewline
S.D. & 0.0606021507174724 \tabularnewline
T-STAT & -0.67272018097141 \tabularnewline
p-value & 0.512906276006503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36588&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]39.8907417883013[/C][/ROW]
[ROW][C]beta[/C][C]-0.0407682897979147[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0606021507174724[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.67272018097141[/C][/ROW]
[ROW][C]p-value[/C][C]0.512906276006503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36588&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36588&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	39.8907417883013
beta	-0.0407682897979147
S.D.	0.0606021507174724
T-STAT	-0.67272018097141
p-value	0.512906276006503

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	15.1647914623402
beta	-1.97575919463779
S.D.	2.54504696815582
T-STAT	-0.776315415534142
p-value	0.451456662154513
Lambda	2.97575919463779

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 15.1647914623402 \tabularnewline
beta & -1.97575919463779 \tabularnewline
S.D. & 2.54504696815582 \tabularnewline
T-STAT & -0.776315415534142 \tabularnewline
p-value & 0.451456662154513 \tabularnewline
Lambda & 2.97575919463779 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36588&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]15.1647914623402[/C][/ROW]
[ROW][C]beta[/C][C]-1.97575919463779[/C][/ROW]
[ROW][C]S.D.[/C][C]2.54504696815582[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.776315415534142[/C][/ROW]
[ROW][C]p-value[/C][C]0.451456662154513[/C][/ROW]
[ROW][C]Lambda[/C][C]2.97575919463779[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36588&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36588&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	15.1647914623402
beta	-1.97575919463779
S.D.	2.54504696815582
T-STAT	-0.776315415534142
p-value	0.451456662154513
Lambda	2.97575919463779

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