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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, 26 May 2015 19:38:54 +0100

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/2015/May/26/t143266555807ecyaqtr15jz2m.htm/, Retrieved Tue, 30 Apr 2024 20:44:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279422, Retrieved Tue, 30 Apr 2024 20:44:02 +0000

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Estimated Impact

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

-       [Standard Deviation-Mean Plot] [] [2015-05-26 18:38:54] [c6da619eabbd864125b02146bc2bbd84] [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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279422&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279422&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279422&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.548325	0.00454915076989905	0.0187000000000002
2	1.57308333333333	0.0154517920898477	0.0474999999999999
3	1.64269166666667	0.0182579725217797	0.0582
4	1.587075	0.0405984129783867	0.1085
5	1.50986666666667	0.00999175417607697	0.0332000000000001
6	1.38225	0.0645390156839609	0.1954
7	1.23398333333333	0.0532589528680959	0.1774
8	1.20531666666667	0.00382000317309087	0.00970000000000004
9	1.23091666666667	0.00569574535522045	0.0219

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.548325 & 0.00454915076989905 & 0.0187000000000002 \tabularnewline
2 & 1.57308333333333 & 0.0154517920898477 & 0.0474999999999999 \tabularnewline
3 & 1.64269166666667 & 0.0182579725217797 & 0.0582 \tabularnewline
4 & 1.587075 & 0.0405984129783867 & 0.1085 \tabularnewline
5 & 1.50986666666667 & 0.00999175417607697 & 0.0332000000000001 \tabularnewline
6 & 1.38225 & 0.0645390156839609 & 0.1954 \tabularnewline
7 & 1.23398333333333 & 0.0532589528680959 & 0.1774 \tabularnewline
8 & 1.20531666666667 & 0.00382000317309087 & 0.00970000000000004 \tabularnewline
9 & 1.23091666666667 & 0.00569574535522045 & 0.0219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279422&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]1.548325[/C][C]0.00454915076989905[/C][C]0.0187000000000002[/C][/ROW]
[ROW][C]2[/C][C]1.57308333333333[/C][C]0.0154517920898477[/C][C]0.0474999999999999[/C][/ROW]
[ROW][C]3[/C][C]1.64269166666667[/C][C]0.0182579725217797[/C][C]0.0582[/C][/ROW]
[ROW][C]4[/C][C]1.587075[/C][C]0.0405984129783867[/C][C]0.1085[/C][/ROW]
[ROW][C]5[/C][C]1.50986666666667[/C][C]0.00999175417607697[/C][C]0.0332000000000001[/C][/ROW]
[ROW][C]6[/C][C]1.38225[/C][C]0.0645390156839609[/C][C]0.1954[/C][/ROW]
[ROW][C]7[/C][C]1.23398333333333[/C][C]0.0532589528680959[/C][C]0.1774[/C][/ROW]
[ROW][C]8[/C][C]1.20531666666667[/C][C]0.00382000317309087[/C][C]0.00970000000000004[/C][/ROW]
[ROW][C]9[/C][C]1.23091666666667[/C][C]0.00569574535522045[/C][C]0.0219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279422&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279422&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	1.548325	0.00454915076989905	0.0187000000000002
2	1.57308333333333	0.0154517920898477	0.0474999999999999
3	1.64269166666667	0.0182579725217797	0.0582
4	1.587075	0.0405984129783867	0.1085
5	1.50986666666667	0.00999175417607697	0.0332000000000001
6	1.38225	0.0645390156839609	0.1954
7	1.23398333333333	0.0532589528680959	0.1774
8	1.20531666666667	0.00382000317309087	0.00970000000000004
9	1.23091666666667	0.00569574535522045	0.0219

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.0403719584141412
beta	-0.0113977412111152
S.D.	0.0496586913246833
T-STAT	-0.229521578339496
p-value	0.825025844962518

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0403719584141412 \tabularnewline
beta & -0.0113977412111152 \tabularnewline
S.D. & 0.0496586913246833 \tabularnewline
T-STAT & -0.229521578339496 \tabularnewline
p-value & 0.825025844962518 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279422&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0403719584141412[/C][/ROW]
[ROW][C]beta[/C][C]-0.0113977412111152[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0496586913246833[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.229521578339496[/C][/ROW]
[ROW][C]p-value[/C][C]0.825025844962518[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279422&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279422&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	0.0403719584141412
beta	-0.0113977412111152
S.D.	0.0496586913246833
T-STAT	-0.229521578339496
p-value	0.825025844962518

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-4.6581927014519
beta	1.29796169865352
S.D.	3.22599332219662
T-STAT	0.402344818795136
p-value	0.699433115850008
Lambda	-0.297961698653519

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.6581927014519 \tabularnewline
beta & 1.29796169865352 \tabularnewline
S.D. & 3.22599332219662 \tabularnewline
T-STAT & 0.402344818795136 \tabularnewline
p-value & 0.699433115850008 \tabularnewline
Lambda & -0.297961698653519 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279422&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.6581927014519[/C][/ROW]
[ROW][C]beta[/C][C]1.29796169865352[/C][/ROW]
[ROW][C]S.D.[/C][C]3.22599332219662[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.402344818795136[/C][/ROW]
[ROW][C]p-value[/C][C]0.699433115850008[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.297961698653519[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279422&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279422&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	-4.6581927014519
beta	1.29796169865352
S.D.	3.22599332219662
T-STAT	0.402344818795136
p-value	0.699433115850008
Lambda	-0.297961698653519

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