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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

Thu, 11 Aug 2016 14:27:06 +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/2016/Aug/11/t1470922050hw3twzxprzaipei.htm/, Retrieved Sun, 05 May 2024 18:27:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296317, Retrieved Sun, 05 May 2024 18:27:59 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

112

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

-     [Harrell-Davis Quantiles] [Reeks A Stap 11] [2016-08-11 12:06:14] [74be16979710d4c4e7c6647856088456]
- RMPD    [Standard Deviation-Mean Plot] [Reeks A Stap 26] [2016-08-11 13:27:06] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Boxplots

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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296317&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296317&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296317&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	'Gwilym Jenkins' @ jenkins.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	288.916666666667	43.602456839314	142
2	375	25.5840859626733	70
3	453.5	25.6284642891099	70
4	539.5	23.7888438329628	70
5	657.75	39.4349291411007	111
6	924.166666666667	124.027733946399	324
7	1265.08333333333	110.004510926791	334
8	1523.25	62.6304094016491	212
9	1740.91666666667	63.5559286031292	232
10	2016.83333333333	85.1702395028316	253

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 288.916666666667 & 43.602456839314 & 142 \tabularnewline
2 & 375 & 25.5840859626733 & 70 \tabularnewline
3 & 453.5 & 25.6284642891099 & 70 \tabularnewline
4 & 539.5 & 23.7888438329628 & 70 \tabularnewline
5 & 657.75 & 39.4349291411007 & 111 \tabularnewline
6 & 924.166666666667 & 124.027733946399 & 324 \tabularnewline
7 & 1265.08333333333 & 110.004510926791 & 334 \tabularnewline
8 & 1523.25 & 62.6304094016491 & 212 \tabularnewline
9 & 1740.91666666667 & 63.5559286031292 & 232 \tabularnewline
10 & 2016.83333333333 & 85.1702395028316 & 253 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296317&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]288.916666666667[/C][C]43.602456839314[/C][C]142[/C][/ROW]
[ROW][C]2[/C][C]375[/C][C]25.5840859626733[/C][C]70[/C][/ROW]
[ROW][C]3[/C][C]453.5[/C][C]25.6284642891099[/C][C]70[/C][/ROW]
[ROW][C]4[/C][C]539.5[/C][C]23.7888438329628[/C][C]70[/C][/ROW]
[ROW][C]5[/C][C]657.75[/C][C]39.4349291411007[/C][C]111[/C][/ROW]
[ROW][C]6[/C][C]924.166666666667[/C][C]124.027733946399[/C][C]324[/C][/ROW]
[ROW][C]7[/C][C]1265.08333333333[/C][C]110.004510926791[/C][C]334[/C][/ROW]
[ROW][C]8[/C][C]1523.25[/C][C]62.6304094016491[/C][C]212[/C][/ROW]
[ROW][C]9[/C][C]1740.91666666667[/C][C]63.5559286031292[/C][C]232[/C][/ROW]
[ROW][C]10[/C][C]2016.83333333333[/C][C]85.1702395028316[/C][C]253[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296317&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296317&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	288.916666666667	43.602456839314	142
2	375	25.5840859626733	70
3	453.5	25.6284642891099	70
4	539.5	23.7888438329628	70
5	657.75	39.4349291411007	111
6	924.166666666667	124.027733946399	324
7	1265.08333333333	110.004510926791	334
8	1523.25	62.6304094016491	212
9	1740.91666666667	63.5559286031292	232
10	2016.83333333333	85.1702395028316	253

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	28.1026535551334
beta	0.0329487800333465
S.D.	0.0168840780791841
T-STAT	1.95147048472656
p-value	0.0867947544075138

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28.1026535551334 \tabularnewline
beta & 0.0329487800333465 \tabularnewline
S.D. & 0.0168840780791841 \tabularnewline
T-STAT & 1.95147048472656 \tabularnewline
p-value & 0.0867947544075138 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296317&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28.1026535551334[/C][/ROW]
[ROW][C]beta[/C][C]0.0329487800333465[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0168840780791841[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.95147048472656[/C][/ROW]
[ROW][C]p-value[/C][C]0.0867947544075138[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296317&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296317&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	28.1026535551334
beta	0.0329487800333465
S.D.	0.0168840780791841
T-STAT	1.95147048472656
p-value	0.0867947544075138

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-0.300679803312821
beta	0.633644017116086
S.D.	0.221190680487659
T-STAT	2.86469581683592
p-value	0.0209993389097685
Lambda	0.366355982883914

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.300679803312821 \tabularnewline
beta & 0.633644017116086 \tabularnewline
S.D. & 0.221190680487659 \tabularnewline
T-STAT & 2.86469581683592 \tabularnewline
p-value & 0.0209993389097685 \tabularnewline
Lambda & 0.366355982883914 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296317&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.300679803312821[/C][/ROW]
[ROW][C]beta[/C][C]0.633644017116086[/C][/ROW]
[ROW][C]S.D.[/C][C]0.221190680487659[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.86469581683592[/C][/ROW]
[ROW][C]p-value[/C][C]0.0209993389097685[/C][/ROW]
[ROW][C]Lambda[/C][C]0.366355982883914[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296317&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296317&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	-0.300679803312821
beta	0.633644017116086
S.D.	0.221190680487659
T-STAT	2.86469581683592
p-value	0.0209993389097685
Lambda	0.366355982883914

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