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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, 06 Dec 2011 07:46:26 -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/2011/Dec/06/t1323175668kb2p0nbj62addf3.htm/, Retrieved Mon, 29 Apr 2024 05:49:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151530, Retrieved Mon, 29 Apr 2024 05:49:24 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2011-12-06 12:46:26] [30681199eb2b91d06bf445c1ee7d20a2] [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	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151530&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151530&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	99.9916666666667	2.50942164047754	7.8
2	107.35	5.232850778756	15
3	110.108333333333	5.03143903748011	14.2
4	111.208333333333	2.88363985058446	8.69999999999999
5	109.2	3.53450523733199	11.7
6	107.333333333333	3.27700898362941	9.39999999999999
7	113.458333333333	3.00468069195481	9.10000000000001
8	115.558333333333	2.38001464217548	7
9	121.308333333333	2.32396930559191	6.90000000000001
10	117.5	2.01719877778342	6.3

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 99.9916666666667 & 2.50942164047754 & 7.8 \tabularnewline
2 & 107.35 & 5.232850778756 & 15 \tabularnewline
3 & 110.108333333333 & 5.03143903748011 & 14.2 \tabularnewline
4 & 111.208333333333 & 2.88363985058446 & 8.69999999999999 \tabularnewline
5 & 109.2 & 3.53450523733199 & 11.7 \tabularnewline
6 & 107.333333333333 & 3.27700898362941 & 9.39999999999999 \tabularnewline
7 & 113.458333333333 & 3.00468069195481 & 9.10000000000001 \tabularnewline
8 & 115.558333333333 & 2.38001464217548 & 7 \tabularnewline
9 & 121.308333333333 & 2.32396930559191 & 6.90000000000001 \tabularnewline
10 & 117.5 & 2.01719877778342 & 6.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151530&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]99.9916666666667[/C][C]2.50942164047754[/C][C]7.8[/C][/ROW]
[ROW][C]2[/C][C]107.35[/C][C]5.232850778756[/C][C]15[/C][/ROW]
[ROW][C]3[/C][C]110.108333333333[/C][C]5.03143903748011[/C][C]14.2[/C][/ROW]
[ROW][C]4[/C][C]111.208333333333[/C][C]2.88363985058446[/C][C]8.69999999999999[/C][/ROW]
[ROW][C]5[/C][C]109.2[/C][C]3.53450523733199[/C][C]11.7[/C][/ROW]
[ROW][C]6[/C][C]107.333333333333[/C][C]3.27700898362941[/C][C]9.39999999999999[/C][/ROW]
[ROW][C]7[/C][C]113.458333333333[/C][C]3.00468069195481[/C][C]9.10000000000001[/C][/ROW]
[ROW][C]8[/C][C]115.558333333333[/C][C]2.38001464217548[/C][C]7[/C][/ROW]
[ROW][C]9[/C][C]121.308333333333[/C][C]2.32396930559191[/C][C]6.90000000000001[/C][/ROW]
[ROW][C]10[/C][C]117.5[/C][C]2.01719877778342[/C][C]6.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151530&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	99.9916666666667	2.50942164047754	7.8
2	107.35	5.232850778756	15
3	110.108333333333	5.03143903748011	14.2
4	111.208333333333	2.88363985058446	8.69999999999999
5	109.2	3.53450523733199	11.7
6	107.333333333333	3.27700898362941	9.39999999999999
7	113.458333333333	3.00468069195481	9.10000000000001
8	115.558333333333	2.38001464217548	7
9	121.308333333333	2.32396930559191	6.90000000000001
10	117.5	2.01719877778342	6.3

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	11.1963478277286
beta	-0.0716689621283186
S.D.	0.0599234012435535
T-STAT	-1.1960095829178
p-value	0.265935839653865

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 11.1963478277286 \tabularnewline
beta & -0.0716689621283186 \tabularnewline
S.D. & 0.0599234012435535 \tabularnewline
T-STAT & -1.1960095829178 \tabularnewline
p-value & 0.265935839653865 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151530&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.1963478277286[/C][/ROW]
[ROW][C]beta[/C][C]-0.0716689621283186[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0599234012435535[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.1960095829178[/C][/ROW]
[ROW][C]p-value[/C][C]0.265935839653865[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151530&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151530&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	11.1963478277286
beta	-0.0716689621283186
S.D.	0.0599234012435535
T-STAT	-1.1960095829178
p-value	0.265935839653865

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	12.53883681532
beta	-2.4236653643635
S.D.	1.88576365446674
T-STAT	-1.28524343897638
p-value	0.234664353062154
Lambda	3.4236653643635

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 12.53883681532 \tabularnewline
beta & -2.4236653643635 \tabularnewline
S.D. & 1.88576365446674 \tabularnewline
T-STAT & -1.28524343897638 \tabularnewline
p-value & 0.234664353062154 \tabularnewline
Lambda & 3.4236653643635 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151530&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12.53883681532[/C][/ROW]
[ROW][C]beta[/C][C]-2.4236653643635[/C][/ROW]
[ROW][C]S.D.[/C][C]1.88576365446674[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.28524343897638[/C][/ROW]
[ROW][C]p-value[/C][C]0.234664353062154[/C][/ROW]
[ROW][C]Lambda[/C][C]3.4236653643635[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151530&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151530&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	12.53883681532
beta	-2.4236653643635
S.D.	1.88576365446674
T-STAT	-1.28524343897638
p-value	0.234664353062154
Lambda	3.4236653643635

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