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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, 23 Nov 2014 21:30:05 +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/2014/Nov/23/t1416778237zvrfnvwdi3e3ik1.htm/, Retrieved Sun, 19 May 2024 13:54:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258127, Retrieved Sun, 19 May 2024 13:54:12 +0000

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Original text written by user:

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No (this computation is public)

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2014-11-23 21:30:05] [18123dc03e4972c6afb0cd442b9891ee] [Current]

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Dataseries X:

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Histogram

Boxplots

7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8
8
8.8
8.7
8.5
8.1
7.8
7.7
7.5
7.2
6.9
6.6
6.5
6.6
7.7
8
7.7
7.3
7
7
7.3
7.3
7.1
7.1
7
7
7.5
7.8
7.9
8.1
8.3
8.4
8.6
8.5
8.4
8.3
8
8
8.7
8.7
8.6
8.5
8.5
8.6

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=258127&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=258127&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258127&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	6.975	0.546268332332281	1.8
2	7.89166666666667	0.317542648054294	1
3	8.30833333333333	0.377692355166894	1.1
4	7.16666666666667	0.486795333759165	1.5
5	7.56666666666667	0.514045157785213	1.4
6	8.45	0.239317210565239	0.699999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.975 & 0.546268332332281 & 1.8 \tabularnewline
2 & 7.89166666666667 & 0.317542648054294 & 1 \tabularnewline
3 & 8.30833333333333 & 0.377692355166894 & 1.1 \tabularnewline
4 & 7.16666666666667 & 0.486795333759165 & 1.5 \tabularnewline
5 & 7.56666666666667 & 0.514045157785213 & 1.4 \tabularnewline
6 & 8.45 & 0.239317210565239 & 0.699999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258127&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]6.975[/C][C]0.546268332332281[/C][C]1.8[/C][/ROW]
[ROW][C]2[/C][C]7.89166666666667[/C][C]0.317542648054294[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]8.30833333333333[/C][C]0.377692355166894[/C][C]1.1[/C][/ROW]
[ROW][C]4[/C][C]7.16666666666667[/C][C]0.486795333759165[/C][C]1.5[/C][/ROW]
[ROW][C]5[/C][C]7.56666666666667[/C][C]0.514045157785213[/C][C]1.4[/C][/ROW]
[ROW][C]6[/C][C]8.45[/C][C]0.239317210565239[/C][C]0.699999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258127&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258127&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	6.975	0.546268332332281	1.8
2	7.89166666666667	0.317542648054294	1
3	8.30833333333333	0.377692355166894	1.1
4	7.16666666666667	0.486795333759165	1.5
5	7.56666666666667	0.514045157785213	1.4
6	8.45	0.239317210565239	0.699999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.79077668603653
beta	-0.178241935902702
S.D.	0.0486511311998618
T-STAT	-3.66367505763584
p-value	0.0215105583597568

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.79077668603653 \tabularnewline
beta & -0.178241935902702 \tabularnewline
S.D. & 0.0486511311998618 \tabularnewline
T-STAT & -3.66367505763584 \tabularnewline
p-value & 0.0215105583597568 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258127&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.79077668603653[/C][/ROW]
[ROW][C]beta[/C][C]-0.178241935902702[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0486511311998618[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.66367505763584[/C][/ROW]
[ROW][C]p-value[/C][C]0.0215105583597568[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258127&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258127&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	1.79077668603653
beta	-0.178241935902702
S.D.	0.0486511311998618
T-STAT	-3.66367505763584
p-value	0.0215105583597568

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.30103351862732
beta	-3.53773281358742
S.D.	1.07580283695736
T-STAT	-3.28845834204438
p-value	0.0302592750838956
Lambda	4.53773281358743

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.30103351862732 \tabularnewline
beta & -3.53773281358742 \tabularnewline
S.D. & 1.07580283695736 \tabularnewline
T-STAT & -3.28845834204438 \tabularnewline
p-value & 0.0302592750838956 \tabularnewline
Lambda & 4.53773281358743 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258127&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.30103351862732[/C][/ROW]
[ROW][C]beta[/C][C]-3.53773281358742[/C][/ROW]
[ROW][C]S.D.[/C][C]1.07580283695736[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.28845834204438[/C][/ROW]
[ROW][C]p-value[/C][C]0.0302592750838956[/C][/ROW]
[ROW][C]Lambda[/C][C]4.53773281358743[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258127&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258127&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	6.30103351862732
beta	-3.53773281358742
S.D.	1.07580283695736
T-STAT	-3.28845834204438
p-value	0.0302592750838956
Lambda	4.53773281358743

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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