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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 27 Dec 2009 06:06:33 -0700

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/2009/Dec/27/t1261919305ukwah7ra7z2gcvj.htm/, Retrieved Thu, 02 May 2024 21:03:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=70879, Retrieved Thu, 02 May 2024 21:03:48 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

148

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

-     [Central Tendency] [test 3] [2007-10-13 09:57:27] [74be16979710d4c4e7c6647856088456]
- RMPD  [Standard Deviation-Mean Plot] [paper standard de...] [2008-12-10 13:47:28] [11edab5c4db3615abbf782b1c6e7cacf]
-  M D      [Standard Deviation-Mean Plot] [paper sdmeanplot WLH] [2009-12-27 13:06:33] [1b03feaac1d41902024770a37504c07f] [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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70879&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70879&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70879&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	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	379.166666666667	34.7270744084453	107
2	390.416666666667	13.6345705891867	43
3	383.25	10.9222458562996	31
4	352.916666666667	18.4856619294440	49
5	333.333333333333	30.0676006036499	98

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 379.166666666667 & 34.7270744084453 & 107 \tabularnewline
2 & 390.416666666667 & 13.6345705891867 & 43 \tabularnewline
3 & 383.25 & 10.9222458562996 & 31 \tabularnewline
4 & 352.916666666667 & 18.4856619294440 & 49 \tabularnewline
5 & 333.333333333333 & 30.0676006036499 & 98 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70879&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]379.166666666667[/C][C]34.7270744084453[/C][C]107[/C][/ROW]
[ROW][C]2[/C][C]390.416666666667[/C][C]13.6345705891867[/C][C]43[/C][/ROW]
[ROW][C]3[/C][C]383.25[/C][C]10.9222458562996[/C][C]31[/C][/ROW]
[ROW][C]4[/C][C]352.916666666667[/C][C]18.4856619294440[/C][C]49[/C][/ROW]
[ROW][C]5[/C][C]333.333333333333[/C][C]30.0676006036499[/C][C]98[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70879&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70879&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	379.166666666667	34.7270744084453	107
2	390.416666666667	13.6345705891867	43
3	383.25	10.9222458562996	31
4	352.916666666667	18.4856619294440	49
5	333.333333333333	30.0676006036499	98

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	92.5003270046477
beta	-0.192848510563893
S.D.	0.224490743180773
T-STAT	-0.859048831285666
p-value	0.453477687256834

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 92.5003270046477 \tabularnewline
beta & -0.192848510563893 \tabularnewline
S.D. & 0.224490743180773 \tabularnewline
T-STAT & -0.859048831285666 \tabularnewline
p-value & 0.453477687256834 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70879&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]92.5003270046477[/C][/ROW]
[ROW][C]beta[/C][C]-0.192848510563893[/C][/ROW]
[ROW][C]S.D.[/C][C]0.224490743180773[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.859048831285666[/C][/ROW]
[ROW][C]p-value[/C][C]0.453477687256834[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70879&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70879&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	92.5003270046477
beta	-0.192848510563893
S.D.	0.224490743180773
T-STAT	-0.859048831285666
p-value	0.453477687256834

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	25.8536857152253
beta	-3.87402470723934
S.D.	3.70742796119995
T-STAT	-1.04493593612146
p-value	0.37283560488561
Lambda	4.87402470723934

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 25.8536857152253 \tabularnewline
beta & -3.87402470723934 \tabularnewline
S.D. & 3.70742796119995 \tabularnewline
T-STAT & -1.04493593612146 \tabularnewline
p-value & 0.37283560488561 \tabularnewline
Lambda & 4.87402470723934 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=70879&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]25.8536857152253[/C][/ROW]
[ROW][C]beta[/C][C]-3.87402470723934[/C][/ROW]
[ROW][C]S.D.[/C][C]3.70742796119995[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.04493593612146[/C][/ROW]
[ROW][C]p-value[/C][C]0.37283560488561[/C][/ROW]
[ROW][C]Lambda[/C][C]4.87402470723934[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=70879&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=70879&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	25.8536857152253
beta	-3.87402470723934
S.D.	3.70742796119995
T-STAT	-1.04493593612146
p-value	0.37283560488561
Lambda	4.87402470723934

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