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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, 15 Jul 2014 12:13:28 +0100

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/2014/Jul/15/t14054228428qx5x1citc15cy6.htm/, Retrieved Wed, 15 May 2024 14:26:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235325, Retrieved Wed, 15 May 2024 14:26:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Toon Oeyen

Estimated Impact

157

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

-       [Standard Deviation-Mean Plot] [tijdreeks B stap 21] [2014-07-15 11:13:28] [529eccf7e66da1786c0a491e4074a2d7] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235325&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235325&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235325&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' @ fisher.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	12108.3333333333	775.134396948899	3300
2	12166.6666666667	823.8858408711	2800
3	12275	1024.36232936309	3400
4	12075	1408.49694226279	5100
5	12275	1713.11783811643	5700
6	12075	1841.01009823906	5600
7	12091.6666666667	2188.17413854704	7100
8	12283.3333333333	2537.29753633246	7500
9	12275	2323.8389085148	6700

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 12108.3333333333 & 775.134396948899 & 3300 \tabularnewline
2 & 12166.6666666667 & 823.8858408711 & 2800 \tabularnewline
3 & 12275 & 1024.36232936309 & 3400 \tabularnewline
4 & 12075 & 1408.49694226279 & 5100 \tabularnewline
5 & 12275 & 1713.11783811643 & 5700 \tabularnewline
6 & 12075 & 1841.01009823906 & 5600 \tabularnewline
7 & 12091.6666666667 & 2188.17413854704 & 7100 \tabularnewline
8 & 12283.3333333333 & 2537.29753633246 & 7500 \tabularnewline
9 & 12275 & 2323.8389085148 & 6700 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235325&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]12108.3333333333[/C][C]775.134396948899[/C][C]3300[/C][/ROW]
[ROW][C]2[/C][C]12166.6666666667[/C][C]823.8858408711[/C][C]2800[/C][/ROW]
[ROW][C]3[/C][C]12275[/C][C]1024.36232936309[/C][C]3400[/C][/ROW]
[ROW][C]4[/C][C]12075[/C][C]1408.49694226279[/C][C]5100[/C][/ROW]
[ROW][C]5[/C][C]12275[/C][C]1713.11783811643[/C][C]5700[/C][/ROW]
[ROW][C]6[/C][C]12075[/C][C]1841.01009823906[/C][C]5600[/C][/ROW]
[ROW][C]7[/C][C]12091.6666666667[/C][C]2188.17413854704[/C][C]7100[/C][/ROW]
[ROW][C]8[/C][C]12283.3333333333[/C][C]2537.29753633246[/C][C]7500[/C][/ROW]
[ROW][C]9[/C][C]12275[/C][C]2323.8389085148[/C][C]6700[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235325&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235325&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	12108.3333333333	775.134396948899	3300
2	12166.6666666667	823.8858408711	2800
3	12275	1024.36232936309	3400
4	12075	1408.49694226279	5100
5	12275	1713.11783811643	5700
6	12075	1841.01009823906	5600
7	12091.6666666667	2188.17413854704	7100
8	12283.3333333333	2537.29753633246	7500
9	12275	2323.8389085148	6700

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-20734.6130110703
beta	1.83577500687643
S.D.	2.51098538258522
T-STAT	0.731097448678248
p-value	0.488463801436326

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -20734.6130110703 \tabularnewline
beta & 1.83577500687643 \tabularnewline
S.D. & 2.51098538258522 \tabularnewline
T-STAT & 0.731097448678248 \tabularnewline
p-value & 0.488463801436326 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235325&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-20734.6130110703[/C][/ROW]
[ROW][C]beta[/C][C]1.83577500687643[/C][/ROW]
[ROW][C]S.D.[/C][C]2.51098538258522[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.731097448678248[/C][/ROW]
[ROW][C]p-value[/C][C]0.488463801436326[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235325&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235325&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	-20734.6130110703
beta	1.83577500687643
S.D.	2.51098538258522
T-STAT	0.731097448678248
p-value	0.488463801436326

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-116.868071906143
beta	13.1998515773101
S.D.	21.0815826842881
T-STAT	0.626131907408823
p-value	0.551090890492636
Lambda	-12.1998515773101

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -116.868071906143 \tabularnewline
beta & 13.1998515773101 \tabularnewline
S.D. & 21.0815826842881 \tabularnewline
T-STAT & 0.626131907408823 \tabularnewline
p-value & 0.551090890492636 \tabularnewline
Lambda & -12.1998515773101 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235325&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-116.868071906143[/C][/ROW]
[ROW][C]beta[/C][C]13.1998515773101[/C][/ROW]
[ROW][C]S.D.[/C][C]21.0815826842881[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.626131907408823[/C][/ROW]
[ROW][C]p-value[/C][C]0.551090890492636[/C][/ROW]
[ROW][C]Lambda[/C][C]-12.1998515773101[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235325&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235325&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	-116.868071906143
beta	13.1998515773101
S.D.	21.0815826842881
T-STAT	0.626131907408823
p-value	0.551090890492636
Lambda	-12.1998515773101

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0 ; par2 = no ; par3 = 512 ;

Parameters (R input):

par1 = 12 ;

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