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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, 16 Dec 2010 10:24:09 +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/2010/Dec/16/t1292494927uc4qsa7gn3914jp.htm/, Retrieved Fri, 03 May 2024 11:33:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110828, Retrieved Fri, 03 May 2024 11:33:44 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

149

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

-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Spectral Analysis] [spectrum analyse ...] [2010-12-14 18:46:58] [d6e648f00513dd750579ba7880c5fbf5]
- RMP     [Standard Deviation-Mean Plot] [standard deviatio...] [2010-12-14 19:01:46] [d6e648f00513dd750579ba7880c5fbf5]
-   PD        [Standard Deviation-Mean Plot] [] [2010-12-16 10:24:09] [a3cd012a7211edfe9ed4466e21aef6a6] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110828&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]2 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=110828&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110828&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	41.775	0.0500000000000007	0.100000000000001
2	41.495	0.117898261225516	0.240000000000002
3	41.3525	0.0206155281280868	0.0399999999999991
4	41.295	0.0251661147842341	0.0599999999999952
5	40.8875	0.130989821487524	0.32
6	40.4025	0.299596951475366	0.649999999999999
7	40.1	0.0163299316185542	0.0399999999999991
8	39.94	0.189208879284247	0.400000000000006
9	39.6325	0.0499165971062385	0.109999999999999
10	39.7025	0.0206155281280868	0.0499999999999972
11	39.9325	0.117011395456455	0.25
12	39.9825	0.0485626742811125	0.100000000000001
13	39.81	0.0336650164612073	0.0700000000000003
14	39.4575	0.166207701385946	0.359999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 41.775 & 0.0500000000000007 & 0.100000000000001 \tabularnewline
2 & 41.495 & 0.117898261225516 & 0.240000000000002 \tabularnewline
3 & 41.3525 & 0.0206155281280868 & 0.0399999999999991 \tabularnewline
4 & 41.295 & 0.0251661147842341 & 0.0599999999999952 \tabularnewline
5 & 40.8875 & 0.130989821487524 & 0.32 \tabularnewline
6 & 40.4025 & 0.299596951475366 & 0.649999999999999 \tabularnewline
7 & 40.1 & 0.0163299316185542 & 0.0399999999999991 \tabularnewline
8 & 39.94 & 0.189208879284247 & 0.400000000000006 \tabularnewline
9 & 39.6325 & 0.0499165971062385 & 0.109999999999999 \tabularnewline
10 & 39.7025 & 0.0206155281280868 & 0.0499999999999972 \tabularnewline
11 & 39.9325 & 0.117011395456455 & 0.25 \tabularnewline
12 & 39.9825 & 0.0485626742811125 & 0.100000000000001 \tabularnewline
13 & 39.81 & 0.0336650164612073 & 0.0700000000000003 \tabularnewline
14 & 39.4575 & 0.166207701385946 & 0.359999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110828&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]41.775[/C][C]0.0500000000000007[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]2[/C][C]41.495[/C][C]0.117898261225516[/C][C]0.240000000000002[/C][/ROW]
[ROW][C]3[/C][C]41.3525[/C][C]0.0206155281280868[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]4[/C][C]41.295[/C][C]0.0251661147842341[/C][C]0.0599999999999952[/C][/ROW]
[ROW][C]5[/C][C]40.8875[/C][C]0.130989821487524[/C][C]0.32[/C][/ROW]
[ROW][C]6[/C][C]40.4025[/C][C]0.299596951475366[/C][C]0.649999999999999[/C][/ROW]
[ROW][C]7[/C][C]40.1[/C][C]0.0163299316185542[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]8[/C][C]39.94[/C][C]0.189208879284247[/C][C]0.400000000000006[/C][/ROW]
[ROW][C]9[/C][C]39.6325[/C][C]0.0499165971062385[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]10[/C][C]39.7025[/C][C]0.0206155281280868[/C][C]0.0499999999999972[/C][/ROW]
[ROW][C]11[/C][C]39.9325[/C][C]0.117011395456455[/C][C]0.25[/C][/ROW]
[ROW][C]12[/C][C]39.9825[/C][C]0.0485626742811125[/C][C]0.100000000000001[/C][/ROW]
[ROW][C]13[/C][C]39.81[/C][C]0.0336650164612073[/C][C]0.0700000000000003[/C][/ROW]
[ROW][C]14[/C][C]39.4575[/C][C]0.166207701385946[/C][C]0.359999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110828&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110828&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	41.775	0.0500000000000007	0.100000000000001
2	41.495	0.117898261225516	0.240000000000002
3	41.3525	0.0206155281280868	0.0399999999999991
4	41.295	0.0251661147842341	0.0599999999999952
5	40.8875	0.130989821487524	0.32
6	40.4025	0.299596951475366	0.649999999999999
7	40.1	0.0163299316185542	0.0399999999999991
8	39.94	0.189208879284247	0.400000000000006
9	39.6325	0.0499165971062385	0.109999999999999
10	39.7025	0.0206155281280868	0.0499999999999972
11	39.9325	0.117011395456455	0.25
12	39.9825	0.0485626742811125	0.100000000000001
13	39.81	0.0336650164612073	0.0700000000000003
14	39.4575	0.166207701385946	0.359999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.627921055383984
beta	-0.0132654200499380
S.D.	0.030314526621447
T-STAT	-0.437592848326155
p-value	0.669453656914843

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.627921055383984 \tabularnewline
beta & -0.0132654200499380 \tabularnewline
S.D. & 0.030314526621447 \tabularnewline
T-STAT & -0.437592848326155 \tabularnewline
p-value & 0.669453656914843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110828&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.627921055383984[/C][/ROW]
[ROW][C]beta[/C][C]-0.0132654200499380[/C][/ROW]
[ROW][C]S.D.[/C][C]0.030314526621447[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.437592848326155[/C][/ROW]
[ROW][C]p-value[/C][C]0.669453656914843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110828&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110828&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	0.627921055383984
beta	-0.0132654200499380
S.D.	0.030314526621447
T-STAT	-0.437592848326155
p-value	0.669453656914843

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	16.1804746974984
beta	-5.12650181572904
S.D.	14.011689599276
T-STAT	-0.365873207467709
p-value	0.720828250154506
Lambda	6.12650181572904

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.1804746974984 \tabularnewline
beta & -5.12650181572904 \tabularnewline
S.D. & 14.011689599276 \tabularnewline
T-STAT & -0.365873207467709 \tabularnewline
p-value & 0.720828250154506 \tabularnewline
Lambda & 6.12650181572904 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110828&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.1804746974984[/C][/ROW]
[ROW][C]beta[/C][C]-5.12650181572904[/C][/ROW]
[ROW][C]S.D.[/C][C]14.011689599276[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.365873207467709[/C][/ROW]
[ROW][C]p-value[/C][C]0.720828250154506[/C][/ROW]
[ROW][C]Lambda[/C][C]6.12650181572904[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110828&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110828&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	16.1804746974984
beta	-5.12650181572904
S.D.	14.011689599276
T-STAT	-0.365873207467709
p-value	0.720828250154506
Lambda	6.12650181572904

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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