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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, 27 Nov 2013 06:37:08 -0500

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/2013/Nov/27/t13855522385ttu5gle7xazo6q.htm/, Retrieved Mon, 29 Apr 2024 13:45:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=228957, Retrieved Mon, 29 Apr 2024 13:45:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

106

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

-       [Standard Deviation-Mean Plot] [] [2013-11-27 11:37:08] [20efb5145ec2a2ddd8dcd418764211fa] [Current]

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228957&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228957&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	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	22.35	3.95830542254913	9.3
2	20.9	1.75084395234257	4
3	18.5	4.06872774396929	10.3
4	22.45	1.03791749540738	2.6
5	22.3	2.42262066966558	6
6	18.7	3.55962204326654	8.9
7	18.75	1.74382025762666	4.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 22.35 & 3.95830542254913 & 9.3 \tabularnewline
2 & 20.9 & 1.75084395234257 & 4 \tabularnewline
3 & 18.5 & 4.06872774396929 & 10.3 \tabularnewline
4 & 22.45 & 1.03791749540738 & 2.6 \tabularnewline
5 & 22.3 & 2.42262066966558 & 6 \tabularnewline
6 & 18.7 & 3.55962204326654 & 8.9 \tabularnewline
7 & 18.75 & 1.74382025762666 & 4.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228957&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]22.35[/C][C]3.95830542254913[/C][C]9.3[/C][/ROW]
[ROW][C]2[/C][C]20.9[/C][C]1.75084395234257[/C][C]4[/C][/ROW]
[ROW][C]3[/C][C]18.5[/C][C]4.06872774396929[/C][C]10.3[/C][/ROW]
[ROW][C]4[/C][C]22.45[/C][C]1.03791749540738[/C][C]2.6[/C][/ROW]
[ROW][C]5[/C][C]22.3[/C][C]2.42262066966558[/C][C]6[/C][/ROW]
[ROW][C]6[/C][C]18.7[/C][C]3.55962204326654[/C][C]8.9[/C][/ROW]
[ROW][C]7[/C][C]18.75[/C][C]1.74382025762666[/C][C]4.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228957&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	22.35	3.95830542254913	9.3
2	20.9	1.75084395234257	4
3	18.5	4.06872774396929	10.3
4	22.45	1.03791749540738	2.6
5	22.3	2.42262066966558	6
6	18.7	3.55962204326654	8.9
7	18.75	1.74382025762666	4.4

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	6.95934495202954
beta	-0.209611372555607
S.D.	0.275200334399191
T-STAT	-0.761668306156765
p-value	0.480620783409168

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.95934495202954 \tabularnewline
beta & -0.209611372555607 \tabularnewline
S.D. & 0.275200334399191 \tabularnewline
T-STAT & -0.761668306156765 \tabularnewline
p-value & 0.480620783409168 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228957&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.95934495202954[/C][/ROW]
[ROW][C]beta[/C][C]-0.209611372555607[/C][/ROW]
[ROW][C]S.D.[/C][C]0.275200334399191[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.761668306156765[/C][/ROW]
[ROW][C]p-value[/C][C]0.480620783409168[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228957&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228957&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	6.95934495202954
beta	-0.209611372555607
S.D.	0.275200334399191
T-STAT	-0.761668306156765
p-value	0.480620783409168

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.90522707452944
beta	-1.99856503197505
S.D.	2.35349673983653
T-STAT	-0.849189632662872
p-value	0.434539287657042
Lambda	2.99856503197505

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.90522707452944 \tabularnewline
beta & -1.99856503197505 \tabularnewline
S.D. & 2.35349673983653 \tabularnewline
T-STAT & -0.849189632662872 \tabularnewline
p-value & 0.434539287657042 \tabularnewline
Lambda & 2.99856503197505 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=228957&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.90522707452944[/C][/ROW]
[ROW][C]beta[/C][C]-1.99856503197505[/C][/ROW]
[ROW][C]S.D.[/C][C]2.35349673983653[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.849189632662872[/C][/ROW]
[ROW][C]p-value[/C][C]0.434539287657042[/C][/ROW]
[ROW][C]Lambda[/C][C]2.99856503197505[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=228957&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=228957&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	6.90522707452944
beta	-1.99856503197505
S.D.	2.35349673983653
T-STAT	-0.849189632662872
p-value	0.434539287657042
Lambda	2.99856503197505

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