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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

Thu, 25 Apr 2013 04:16:58 -0400

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/Apr/25/t136687786326t01bwc1a9fpsw.htm/, Retrieved Tue, 30 Apr 2024 13:52:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208320, Retrieved Tue, 30 Apr 2024 13:52:13 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

167

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

-     [Bootstrap Plot - Central Tendency] [desnity 50] [2013-04-18 08:20:54] [da1dd7ba20267c8dec1286cd318791a0]
- RMPD    [Standard Deviation-Mean Plot] [SD mean plot eige...] [2013-04-25 08:16:58] [5f178b5bce8a01d64692a8a5c649399b] [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	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=208320&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=208320&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208320&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	603.515	8.16794232461159	18.0599999999999
2	619.84	5.0292092275571	11.12
3	631.405	5.83424451757977	12.9000000000001
4	647.8625	12.2700041675921	27.13
5	667.475	1.32966502958796	2.94000000000005
6	667.5275	4.0839711623058	9.02999999999997

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 603.515 & 8.16794232461159 & 18.0599999999999 \tabularnewline
2 & 619.84 & 5.0292092275571 & 11.12 \tabularnewline
3 & 631.405 & 5.83424451757977 & 12.9000000000001 \tabularnewline
4 & 647.8625 & 12.2700041675921 & 27.13 \tabularnewline
5 & 667.475 & 1.32966502958796 & 2.94000000000005 \tabularnewline
6 & 667.5275 & 4.0839711623058 & 9.02999999999997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208320&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]603.515[/C][C]8.16794232461159[/C][C]18.0599999999999[/C][/ROW]
[ROW][C]2[/C][C]619.84[/C][C]5.0292092275571[/C][C]11.12[/C][/ROW]
[ROW][C]3[/C][C]631.405[/C][C]5.83424451757977[/C][C]12.9000000000001[/C][/ROW]
[ROW][C]4[/C][C]647.8625[/C][C]12.2700041675921[/C][C]27.13[/C][/ROW]
[ROW][C]5[/C][C]667.475[/C][C]1.32966502958796[/C][C]2.94000000000005[/C][/ROW]
[ROW][C]6[/C][C]667.5275[/C][C]4.0839711623058[/C][C]9.02999999999997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208320&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208320&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	603.515	8.16794232461159	18.0599999999999
2	619.84	5.0292092275571	11.12
3	631.405	5.83424451757977	12.9000000000001
4	647.8625	12.2700041675921	27.13
5	667.475	1.32966502958796	2.94000000000005
6	667.5275	4.0839711623058	9.02999999999997

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	41.9413704603825
beta	-0.0560068235778797
S.D.	0.0664367638165666
T-STAT	-0.843009507996443
p-value	0.446682126478282

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 41.9413704603825 \tabularnewline
beta & -0.0560068235778797 \tabularnewline
S.D. & 0.0664367638165666 \tabularnewline
T-STAT & -0.843009507996443 \tabularnewline
p-value & 0.446682126478282 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208320&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]41.9413704603825[/C][/ROW]
[ROW][C]beta[/C][C]-0.0560068235778797[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0664367638165666[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.843009507996443[/C][/ROW]
[ROW][C]p-value[/C][C]0.446682126478282[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208320&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208320&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	41.9413704603825
beta	-0.0560068235778797
S.D.	0.0664367638165666
T-STAT	-0.843009507996443
p-value	0.446682126478282

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	66.9665793840823
beta	-10.1163978321361
S.D.	7.77213307903632
T-STAT	-1.30162437123252
p-value	0.262947268658589
Lambda	11.1163978321361

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 66.9665793840823 \tabularnewline
beta & -10.1163978321361 \tabularnewline
S.D. & 7.77213307903632 \tabularnewline
T-STAT & -1.30162437123252 \tabularnewline
p-value & 0.262947268658589 \tabularnewline
Lambda & 11.1163978321361 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208320&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]66.9665793840823[/C][/ROW]
[ROW][C]beta[/C][C]-10.1163978321361[/C][/ROW]
[ROW][C]S.D.[/C][C]7.77213307903632[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.30162437123252[/C][/ROW]
[ROW][C]p-value[/C][C]0.262947268658589[/C][/ROW]
[ROW][C]Lambda[/C][C]11.1163978321361[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208320&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208320&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	66.9665793840823
beta	-10.1163978321361
S.D.	7.77213307903632
T-STAT	-1.30162437123252
p-value	0.262947268658589
Lambda	11.1163978321361

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code