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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, 16 Aug 2016 11:57:00 +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/2016/Aug/16/t14713450544kimth9i6yu1r0i.htm/, Retrieved Sat, 04 May 2024 21:58:21 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 21:58:21 +0200

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Estimated Impact

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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	'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

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

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	2262.5	107.396885006461	300
2	2210.41666666667	192.90198091887	625
3	2193.75	230.396150930601	700
4	2264.58333333333	227.250945925957	750
5	2260.41666666667	216.495416005779	675
6	2208.33333333333	240.34381938205	750
7	2195.83333333333	260.208249933267	875
8	2222.91666666667	255.053099046715	850
9	2218.75	207.562969634847	675

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2262.5 & 107.396885006461 & 300 \tabularnewline
2 & 2210.41666666667 & 192.90198091887 & 625 \tabularnewline
3 & 2193.75 & 230.396150930601 & 700 \tabularnewline
4 & 2264.58333333333 & 227.250945925957 & 750 \tabularnewline
5 & 2260.41666666667 & 216.495416005779 & 675 \tabularnewline
6 & 2208.33333333333 & 240.34381938205 & 750 \tabularnewline
7 & 2195.83333333333 & 260.208249933267 & 875 \tabularnewline
8 & 2222.91666666667 & 255.053099046715 & 850 \tabularnewline
9 & 2218.75 & 207.562969634847 & 675 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]2262.5[/C][C]107.396885006461[/C][C]300[/C][/ROW]
[ROW][C]2[/C][C]2210.41666666667[/C][C]192.90198091887[/C][C]625[/C][/ROW]
[ROW][C]3[/C][C]2193.75[/C][C]230.396150930601[/C][C]700[/C][/ROW]
[ROW][C]4[/C][C]2264.58333333333[/C][C]227.250945925957[/C][C]750[/C][/ROW]
[ROW][C]5[/C][C]2260.41666666667[/C][C]216.495416005779[/C][C]675[/C][/ROW]
[ROW][C]6[/C][C]2208.33333333333[/C][C]240.34381938205[/C][C]750[/C][/ROW]
[ROW][C]7[/C][C]2195.83333333333[/C][C]260.208249933267[/C][C]875[/C][/ROW]
[ROW][C]8[/C][C]2222.91666666667[/C][C]255.053099046715[/C][C]850[/C][/ROW]
[ROW][C]9[/C][C]2218.75[/C][C]207.562969634847[/C][C]675[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	2262.5	107.396885006461	300
2	2210.41666666667	192.90198091887	625
3	2193.75	230.396150930601	700
4	2264.58333333333	227.250945925957	750
5	2260.41666666667	216.495416005779	675
6	2208.33333333333	240.34381938205	750
7	2195.83333333333	260.208249933267	875
8	2222.91666666667	255.053099046715	850
9	2218.75	207.562969634847	675

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2057.62461936424
beta	-0.82749904217061
S.D.	0.517137450209238
T-STAT	-1.60015299962476
p-value	0.153597847849157

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2057.62461936424 \tabularnewline
beta & -0.82749904217061 \tabularnewline
S.D. & 0.517137450209238 \tabularnewline
T-STAT & -1.60015299962476 \tabularnewline
p-value & 0.153597847849157 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2057.62461936424[/C][/ROW]
[ROW][C]beta[/C][C]-0.82749904217061[/C][/ROW]
[ROW][C]S.D.[/C][C]0.517137450209238[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.60015299962476[/C][/ROW]
[ROW][C]p-value[/C][C]0.153597847849157[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	2057.62461936424
beta	-0.82749904217061
S.D.	0.517137450209238
T-STAT	-1.60015299962476
p-value	0.153597847849157

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	87.5125227340907
beta	-10.6599792892201
S.D.	6.78041946243842
T-STAT	-1.57217106526718
p-value	0.159906974605254
Lambda	11.6599792892201

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 87.5125227340907 \tabularnewline
beta & -10.6599792892201 \tabularnewline
S.D. & 6.78041946243842 \tabularnewline
T-STAT & -1.57217106526718 \tabularnewline
p-value & 0.159906974605254 \tabularnewline
Lambda & 11.6599792892201 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]87.5125227340907[/C][/ROW]
[ROW][C]beta[/C][C]-10.6599792892201[/C][/ROW]
[ROW][C]S.D.[/C][C]6.78041946243842[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.57217106526718[/C][/ROW]
[ROW][C]p-value[/C][C]0.159906974605254[/C][/ROW]
[ROW][C]Lambda[/C][C]11.6599792892201[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	87.5125227340907
beta	-10.6599792892201
S.D.	6.78041946243842
T-STAT	-1.57217106526718
p-value	0.159906974605254
Lambda	11.6599792892201

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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