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Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 22 Nov 2014 12:40:46 +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/2014/Nov/22/t14166600586t4xnz1igx54g6e.htm/, Retrieved Sun, 19 May 2024 15:56:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257828, Retrieved Sun, 19 May 2024 15:56:23 +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] [] [2014-11-22 12:40:46] [5cf6a598f846f655ef95f65053f7ffc6] [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 Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.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=257828&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 Ronald Aylmer Fisher' @ fisher.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=257828&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257828&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 Ronald Aylmer Fisher' @ fisher.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	70.5858333333333	0.242091580467669	0.75
2	71.2216666666667	0.110522176576248	0.450000000000003
3	71.8133333333333	0.292149816278423	0.990000000000009
4	73.2033333333333	0.570204641627314	1.81
5	74.98	0.558911279347465	1.57000000000001
6	73.6766666666667	0.780586415148991	2.81

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 70.5858333333333 & 0.242091580467669 & 0.75 \tabularnewline
2 & 71.2216666666667 & 0.110522176576248 & 0.450000000000003 \tabularnewline
3 & 71.8133333333333 & 0.292149816278423 & 0.990000000000009 \tabularnewline
4 & 73.2033333333333 & 0.570204641627314 & 1.81 \tabularnewline
5 & 74.98 & 0.558911279347465 & 1.57000000000001 \tabularnewline
6 & 73.6766666666667 & 0.780586415148991 & 2.81 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257828&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]70.5858333333333[/C][C]0.242091580467669[/C][C]0.75[/C][/ROW]
[ROW][C]2[/C][C]71.2216666666667[/C][C]0.110522176576248[/C][C]0.450000000000003[/C][/ROW]
[ROW][C]3[/C][C]71.8133333333333[/C][C]0.292149816278423[/C][C]0.990000000000009[/C][/ROW]
[ROW][C]4[/C][C]73.2033333333333[/C][C]0.570204641627314[/C][C]1.81[/C][/ROW]
[ROW][C]5[/C][C]74.98[/C][C]0.558911279347465[/C][C]1.57000000000001[/C][/ROW]
[ROW][C]6[/C][C]73.6766666666667[/C][C]0.780586415148991[/C][C]2.81[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257828&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257828&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	70.5858333333333	0.242091580467669	0.75
2	71.2216666666667	0.110522176576248	0.450000000000003
3	71.8133333333333	0.292149816278423	0.990000000000009
4	73.2033333333333	0.570204641627314	1.81
5	74.98	0.558911279347465	1.57000000000001
6	73.6766666666667	0.780586415148991	2.81

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-8.51769865227599
beta	0.123221629324908
S.D.	0.0439906961581863
T-STAT	2.80108386741176
p-value	0.0487576578553588

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -8.51769865227599 \tabularnewline
beta & 0.123221629324908 \tabularnewline
S.D. & 0.0439906961581863 \tabularnewline
T-STAT & 2.80108386741176 \tabularnewline
p-value & 0.0487576578553588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257828&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.51769865227599[/C][/ROW]
[ROW][C]beta[/C][C]0.123221629324908[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0439906961581863[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.80108386741176[/C][/ROW]
[ROW][C]p-value[/C][C]0.0487576578553588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257828&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257828&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	-8.51769865227599
beta	0.123221629324908
S.D.	0.0439906961581863
T-STAT	2.80108386741176
p-value	0.0487576578553588

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-108.742905891002
beta	25.1378466959277
S.D.	9.57008191766139
T-STAT	2.62671175776838
p-value	0.0583870152667622
Lambda	-24.1378466959277

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -108.742905891002 \tabularnewline
beta & 25.1378466959277 \tabularnewline
S.D. & 9.57008191766139 \tabularnewline
T-STAT & 2.62671175776838 \tabularnewline
p-value & 0.0583870152667622 \tabularnewline
Lambda & -24.1378466959277 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257828&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-108.742905891002[/C][/ROW]
[ROW][C]beta[/C][C]25.1378466959277[/C][/ROW]
[ROW][C]S.D.[/C][C]9.57008191766139[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.62671175776838[/C][/ROW]
[ROW][C]p-value[/C][C]0.0583870152667622[/C][/ROW]
[ROW][C]Lambda[/C][C]-24.1378466959277[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257828&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257828&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	-108.742905891002
beta	25.1378466959277
S.D.	9.57008191766139
T-STAT	2.62671175776838
p-value	0.0583870152667622
Lambda	-24.1378466959277

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