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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, 27 Nov 2007 02:48:56 -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/2007/Nov/27/t1196156374rripfpg97y8hdmd.htm/, Retrieved Sun, 05 May 2024 14:10:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6767, Retrieved Sun, 05 May 2024 14:10:14 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Groep MENS

Estimated Impact

229

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

-       [Standard Deviation-Mean Plot] [voeding_Q1] [2007-11-27 09:48:56] [68ccea1ea79fa519d33f2664ba3973dd] [Current]

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Histogram

Boxplots

Summary of compuational 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 compuational 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=6767&T=0

[TABLE]
[ROW][C]Summary of compuational 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=6767&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6767&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 compuational 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	99.7	0.522232967867092	3.19999999999999
2	99.2916666666667	0.748888064622031	3.7
3	97.8083333333333	1.09000278009098	2.5
4	100.433333333333	0.424977717775958	4
5	100.641666666667	0.599178730860125	4.5
6	103.283333333333	1.65025250593155	8.30000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.7 & 0.522232967867092 & 3.19999999999999 \tabularnewline
2 & 99.2916666666667 & 0.748888064622031 & 3.7 \tabularnewline
3 & 97.8083333333333 & 1.09000278009098 & 2.5 \tabularnewline
4 & 100.433333333333 & 0.424977717775958 & 4 \tabularnewline
5 & 100.641666666667 & 0.599178730860125 & 4.5 \tabularnewline
6 & 103.283333333333 & 1.65025250593155 & 8.30000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6767&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]99.7[/C][C]0.522232967867092[/C][C]3.19999999999999[/C][/ROW]
[ROW][C]2[/C][C]99.2916666666667[/C][C]0.748888064622031[/C][C]3.7[/C][/ROW]
[ROW][C]3[/C][C]97.8083333333333[/C][C]1.09000278009098[/C][C]2.5[/C][/ROW]
[ROW][C]4[/C][C]100.433333333333[/C][C]0.424977717775958[/C][C]4[/C][/ROW]
[ROW][C]5[/C][C]100.641666666667[/C][C]0.599178730860125[/C][C]4.5[/C][/ROW]
[ROW][C]6[/C][C]103.283333333333[/C][C]1.65025250593155[/C][C]8.30000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6767&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6767&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	99.7	0.522232967867092	3.19999999999999
2	99.2916666666667	0.748888064622031	3.7
3	97.8083333333333	1.09000278009098	2.5
4	100.433333333333	0.424977717775958	4
5	100.641666666667	0.599178730860125	4.5
6	103.283333333333	1.65025250593155	8.30000000000001

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-10.8970338866016
beta	0.117136754465835
S.D.	0.112063609820802
T-STAT	1.04527022334142
p-value	0.354902475227669

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -10.8970338866016 \tabularnewline
beta & 0.117136754465835 \tabularnewline
S.D. & 0.112063609820802 \tabularnewline
T-STAT & 1.04527022334142 \tabularnewline
p-value & 0.354902475227669 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6767&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.8970338866016[/C][/ROW]
[ROW][C]beta[/C][C]0.117136754465835[/C][/ROW]
[ROW][C]S.D.[/C][C]0.112063609820802[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.04527022334142[/C][/ROW]
[ROW][C]p-value[/C][C]0.354902475227669[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6767&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6767&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	-10.8970338866016
beta	0.117136754465835
S.D.	0.112063609820802
T-STAT	1.04527022334142
p-value	0.354902475227669

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-40.8310500410095
beta	8.80069024771222
S.D.	13.1992482062929
T-STAT	0.66675693268018
p-value	0.541417718466973
Lambda	-7.80069024771222

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -40.8310500410095 \tabularnewline
beta & 8.80069024771222 \tabularnewline
S.D. & 13.1992482062929 \tabularnewline
T-STAT & 0.66675693268018 \tabularnewline
p-value & 0.541417718466973 \tabularnewline
Lambda & -7.80069024771222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6767&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-40.8310500410095[/C][/ROW]
[ROW][C]beta[/C][C]8.80069024771222[/C][/ROW]
[ROW][C]S.D.[/C][C]13.1992482062929[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.66675693268018[/C][/ROW]
[ROW][C]p-value[/C][C]0.541417718466973[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.80069024771222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6767&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6767&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	-40.8310500410095
beta	8.80069024771222
S.D.	13.1992482062929
T-STAT	0.66675693268018
p-value	0.541417718466973
Lambda	-7.80069024771222

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