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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

Sun, 22 Nov 2015 16:28:13 +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/2015/Nov/22/t1448209762v2mry3t1hlblxld.htm/, Retrieved Tue, 21 May 2024 13:34:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283844, Retrieved Tue, 21 May 2024 13:34:16 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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

-       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2015-11-22 16:28:13] [e4113772e8352caea1c7944bf41cc9e0] [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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283844&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283844&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283844&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	'Gertrude Mary Cox' @ cox.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	790.916666666667	118.929664724639	393
2	794.25	99.196888697543	348
3	945.666666666667	92.9480141441082	270
4	1037.41666666667	107.634447285357	307
5	805.75	113.026243935565	387

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 790.916666666667 & 118.929664724639 & 393 \tabularnewline
2 & 794.25 & 99.196888697543 & 348 \tabularnewline
3 & 945.666666666667 & 92.9480141441082 & 270 \tabularnewline
4 & 1037.41666666667 & 107.634447285357 & 307 \tabularnewline
5 & 805.75 & 113.026243935565 & 387 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283844&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]790.916666666667[/C][C]118.929664724639[/C][C]393[/C][/ROW]
[ROW][C]2[/C][C]794.25[/C][C]99.196888697543[/C][C]348[/C][/ROW]
[ROW][C]3[/C][C]945.666666666667[/C][C]92.9480141441082[/C][C]270[/C][/ROW]
[ROW][C]4[/C][C]1037.41666666667[/C][C]107.634447285357[/C][C]307[/C][/ROW]
[ROW][C]5[/C][C]805.75[/C][C]113.026243935565[/C][C]387[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283844&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283844&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	790.916666666667	118.929664724639	393
2	794.25	99.196888697543	348
3	945.666666666667	92.9480141441082	270
4	1037.41666666667	107.634447285357	307
5	805.75	113.026243935565	387

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	135.898889052086
beta	-0.0337812497652537
S.D.	0.0503521357152947
T-STAT	-0.670900038009558
p-value	0.550317488501599

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 135.898889052086 \tabularnewline
beta & -0.0337812497652537 \tabularnewline
S.D. & 0.0503521357152947 \tabularnewline
T-STAT & -0.670900038009558 \tabularnewline
p-value & 0.550317488501599 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283844&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]135.898889052086[/C][/ROW]
[ROW][C]beta[/C][C]-0.0337812497652537[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0503521357152947[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.670900038009558[/C][/ROW]
[ROW][C]p-value[/C][C]0.550317488501599[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283844&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283844&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	135.898889052086
beta	-0.0337812497652537
S.D.	0.0503521357152947
T-STAT	-0.670900038009558
p-value	0.550317488501599

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.66653050832013
beta	-0.29606928241762
S.D.	0.429718299374775
T-STAT	-0.688984580941492
p-value	0.540336733804246
Lambda	1.29606928241762

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.66653050832013 \tabularnewline
beta & -0.29606928241762 \tabularnewline
S.D. & 0.429718299374775 \tabularnewline
T-STAT & -0.688984580941492 \tabularnewline
p-value & 0.540336733804246 \tabularnewline
Lambda & 1.29606928241762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283844&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.66653050832013[/C][/ROW]
[ROW][C]beta[/C][C]-0.29606928241762[/C][/ROW]
[ROW][C]S.D.[/C][C]0.429718299374775[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.688984580941492[/C][/ROW]
[ROW][C]p-value[/C][C]0.540336733804246[/C][/ROW]
[ROW][C]Lambda[/C][C]1.29606928241762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283844&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283844&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	6.66653050832013
beta	-0.29606928241762
S.D.	0.429718299374775
T-STAT	-0.688984580941492
p-value	0.540336733804246
Lambda	1.29606928241762

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

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code