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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

Wed, 02 May 2012 09:36:56 -0400

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/2012/May/02/t1335965876vcljktda9u0xmvn.htm/, Retrieved Wed, 08 May 2024 03:00:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165925, Retrieved Wed, 08 May 2024 03:00:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

118

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

-       [Standard Deviation-Mean Plot] [IKO opgave 8 oefe...] [2012-05-02 13:36:56] [93d78dde8d64c5a73537ad1fcc88d508] [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	'AstonUniversity' @ aston.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165925&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165925&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165925&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	'AstonUniversity' @ aston.wessa.net
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	7.0125	0.0606217782649106	0.18
2	6.86916666666667	0.0377692355166894	0.11
3	7.26416666666667	0.215973833993142	0.65
4	7.5725	0.20850659461993	0.58
5	7.8975	0.09836157786453	0.27
6	8.18333333333333	0.143421396484963	0.350000000000001
7	8.32916666666667	0.0308834563931543	0.119999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.0125 & 0.0606217782649106 & 0.18 \tabularnewline
2 & 6.86916666666667 & 0.0377692355166894 & 0.11 \tabularnewline
3 & 7.26416666666667 & 0.215973833993142 & 0.65 \tabularnewline
4 & 7.5725 & 0.20850659461993 & 0.58 \tabularnewline
5 & 7.8975 & 0.09836157786453 & 0.27 \tabularnewline
6 & 8.18333333333333 & 0.143421396484963 & 0.350000000000001 \tabularnewline
7 & 8.32916666666667 & 0.0308834563931543 & 0.119999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165925&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]7.0125[/C][C]0.0606217782649106[/C][C]0.18[/C][/ROW]
[ROW][C]2[/C][C]6.86916666666667[/C][C]0.0377692355166894[/C][C]0.11[/C][/ROW]
[ROW][C]3[/C][C]7.26416666666667[/C][C]0.215973833993142[/C][C]0.65[/C][/ROW]
[ROW][C]4[/C][C]7.5725[/C][C]0.20850659461993[/C][C]0.58[/C][/ROW]
[ROW][C]5[/C][C]7.8975[/C][C]0.09836157786453[/C][C]0.27[/C][/ROW]
[ROW][C]6[/C][C]8.18333333333333[/C][C]0.143421396484963[/C][C]0.350000000000001[/C][/ROW]
[ROW][C]7[/C][C]8.32916666666667[/C][C]0.0308834563931543[/C][C]0.119999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165925&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165925&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	7.0125	0.0606217782649106	0.18
2	6.86916666666667	0.0377692355166894	0.11
3	7.26416666666667	0.215973833993142	0.65
4	7.5725	0.20850659461993	0.58
5	7.8975	0.09836157786453	0.27
6	8.18333333333333	0.143421396484963	0.350000000000001
7	8.32916666666667	0.0308834563931543	0.119999999999999

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	0.105463673546097
beta	0.00107837296448171
S.D.	0.0607296953476585
T-STAT	0.0177569302514752
p-value	0.986519551061156

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.105463673546097 \tabularnewline
beta & 0.00107837296448171 \tabularnewline
S.D. & 0.0607296953476585 \tabularnewline
T-STAT & 0.0177569302514752 \tabularnewline
p-value & 0.986519551061156 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165925&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.105463673546097[/C][/ROW]
[ROW][C]beta[/C][C]0.00107837296448171[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0607296953476585[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0177569302514752[/C][/ROW]
[ROW][C]p-value[/C][C]0.986519551061156[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165925&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165925&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	0.105463673546097
beta	0.00107837296448171
S.D.	0.0607296953476585
T-STAT	0.0177569302514752
p-value	0.986519551061156

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.40684055756751
beta	0.489006866053244
S.D.	4.69288155812923
T-STAT	0.104201834202733
p-value	0.921059925475866
Lambda	0.510993133946756

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.40684055756751 \tabularnewline
beta & 0.489006866053244 \tabularnewline
S.D. & 4.69288155812923 \tabularnewline
T-STAT & 0.104201834202733 \tabularnewline
p-value & 0.921059925475866 \tabularnewline
Lambda & 0.510993133946756 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165925&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.40684055756751[/C][/ROW]
[ROW][C]beta[/C][C]0.489006866053244[/C][/ROW]
[ROW][C]S.D.[/C][C]4.69288155812923[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.104201834202733[/C][/ROW]
[ROW][C]p-value[/C][C]0.921059925475866[/C][/ROW]
[ROW][C]Lambda[/C][C]0.510993133946756[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165925&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165925&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	-3.40684055756751
beta	0.489006866053244
S.D.	4.69288155812923
T-STAT	0.104201834202733
p-value	0.921059925475866
Lambda	0.510993133946756

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