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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Tue, 16 Dec 2008 15:50:10 -0700

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/2008/Dec/16/t1229468009lx8zswquinecttr.htm/, Retrieved Wed, 15 May 2024 00:29:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34235, Retrieved Wed, 15 May 2024 00:29:25 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

195

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

F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Standard Deviation-Mean Plot] [vraag 5] [2008-11-29 13:37:39] [c45c87b96bbf32ffc2144fc37d767b2e]
-    D    [Standard Deviation-Mean Plot] [SDMP] [2008-12-12 13:39:34] [c45c87b96bbf32ffc2144fc37d767b2e]
-    D        [Standard Deviation-Mean Plot] [SDMP] [2008-12-16 22:50:10] [3dc594a6c62226e1e98766c4d385bfaa] [Current]

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Dataseries X:

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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34235&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34235&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34235&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' @ 72.249.127.135

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	489.75	35.777405261879	113
2	467	27.1995989275243	90
3	478.75	19.955063153359	58
4	514	7.1223081039276	24
5	558	13.7510330190466	43
6	590.916666666667	15.8255164116995	46
7	597.083333333333	20.9434664723581	56
8	562.916666666667	43.1350065246174	127
9	514	29.5942254809647	96

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 489.75 & 35.777405261879 & 113 \tabularnewline
2 & 467 & 27.1995989275243 & 90 \tabularnewline
3 & 478.75 & 19.955063153359 & 58 \tabularnewline
4 & 514 & 7.1223081039276 & 24 \tabularnewline
5 & 558 & 13.7510330190466 & 43 \tabularnewline
6 & 590.916666666667 & 15.8255164116995 & 46 \tabularnewline
7 & 597.083333333333 & 20.9434664723581 & 56 \tabularnewline
8 & 562.916666666667 & 43.1350065246174 & 127 \tabularnewline
9 & 514 & 29.5942254809647 & 96 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34235&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]489.75[/C][C]35.777405261879[/C][C]113[/C][/ROW]
[ROW][C]2[/C][C]467[/C][C]27.1995989275243[/C][C]90[/C][/ROW]
[ROW][C]3[/C][C]478.75[/C][C]19.955063153359[/C][C]58[/C][/ROW]
[ROW][C]4[/C][C]514[/C][C]7.1223081039276[/C][C]24[/C][/ROW]
[ROW][C]5[/C][C]558[/C][C]13.7510330190466[/C][C]43[/C][/ROW]
[ROW][C]6[/C][C]590.916666666667[/C][C]15.8255164116995[/C][C]46[/C][/ROW]
[ROW][C]7[/C][C]597.083333333333[/C][C]20.9434664723581[/C][C]56[/C][/ROW]
[ROW][C]8[/C][C]562.916666666667[/C][C]43.1350065246174[/C][C]127[/C][/ROW]
[ROW][C]9[/C][C]514[/C][C]29.5942254809647[/C][C]96[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34235&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34235&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	489.75	35.777405261879	113
2	467	27.1995989275243	90
3	478.75	19.955063153359	58
4	514	7.1223081039276	24
5	558	13.7510330190466	43
6	590.916666666667	15.8255164116995	46
7	597.083333333333	20.9434664723581	56
8	562.916666666667	43.1350065246174	127
9	514	29.5942254809647	96

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	41.9489397107215
beta	-0.0344137667585152
S.D.	0.0874077519676402
T-STAT	-0.393715271058060
p-value	0.705508720135903

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 41.9489397107215 \tabularnewline
beta & -0.0344137667585152 \tabularnewline
S.D. & 0.0874077519676402 \tabularnewline
T-STAT & -0.393715271058060 \tabularnewline
p-value & 0.705508720135903 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34235&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]41.9489397107215[/C][/ROW]
[ROW][C]beta[/C][C]-0.0344137667585152[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0874077519676402[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.393715271058060[/C][/ROW]
[ROW][C]p-value[/C][C]0.705508720135903[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34235&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34235&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	41.9489397107215
beta	-0.0344137667585152
S.D.	0.0874077519676402
T-STAT	-0.393715271058060
p-value	0.705508720135903

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	8.35472243281065
beta	-0.846735238000515
S.D.	2.25287725602128
T-STAT	-0.375846147737273
p-value	0.718162478239541
Lambda	1.84673523800052

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.35472243281065 \tabularnewline
beta & -0.846735238000515 \tabularnewline
S.D. & 2.25287725602128 \tabularnewline
T-STAT & -0.375846147737273 \tabularnewline
p-value & 0.718162478239541 \tabularnewline
Lambda & 1.84673523800052 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34235&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.35472243281065[/C][/ROW]
[ROW][C]beta[/C][C]-0.846735238000515[/C][/ROW]
[ROW][C]S.D.[/C][C]2.25287725602128[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375846147737273[/C][/ROW]
[ROW][C]p-value[/C][C]0.718162478239541[/C][/ROW]
[ROW][C]Lambda[/C][C]1.84673523800052[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34235&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34235&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	8.35472243281065
beta	-0.846735238000515
S.D.	2.25287725602128
T-STAT	-0.375846147737273
p-value	0.718162478239541
Lambda	1.84673523800052

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