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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 28 Nov 2007 05:10:02 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/28/t1196251310k3s97884rpbiilh.htm/, Retrieved Thu, 02 May 2024 00:25:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7045, Retrieved Thu, 02 May 2024 00:25:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact188

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Including Station...] [2007-11-28 12:10:02] [4c115797c5b528fedc91527ab5de21b2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
665

654

648

621

612

596

590

579

560

552

547

540

540

527

511

503

490

484

480

472

471

466

469

467

470

464

460

458

456

457

450

434

426

423

415

410

400

388

382

378

375

372

372

364

360

355

352

351

367

370

364

345

330

324

324

315

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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=7045&T=0

[TABLE]
[ROW][C]Summary of compuational 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=7045&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7045&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
159743.4762212960351265
249024.9472170063844152
3443.58333333333320.751597236810288
4370.7515.088376019608322

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 597 & 43.4762212960351 & 265 \tabularnewline
2 & 490 & 24.9472170063844 & 152 \tabularnewline
3 & 443.583333333333 & 20.7515972368102 & 88 \tabularnewline
4 & 370.75 & 15.0883760196083 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7045&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]597[/C][C]43.4762212960351[/C][C]265[/C][/ROW]
[ROW][C]2[/C][C]490[/C][C]24.9472170063844[/C][C]152[/C][/ROW]
[ROW][C]3[/C][C]443.583333333333[/C][C]20.7515972368102[/C][C]88[/C][/ROW]
[ROW][C]4[/C][C]370.75[/C][C]15.0883760196083[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7045&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7045&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
159743.4762212960351265
249024.9472170063844152
3443.58333333333320.751597236810288
4370.7515.088376019608322






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-34.200348088433
beta0.126787239084451
S.D.0.019102430016563
T-STAT6.63723091640796
p-value0.0219552056874146

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -34.200348088433 \tabularnewline
beta & 0.126787239084451 \tabularnewline
S.D. & 0.019102430016563 \tabularnewline
T-STAT & 6.63723091640796 \tabularnewline
p-value & 0.0219552056874146 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7045&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-34.200348088433[/C][/ROW]
[ROW][C]beta[/C][C]0.126787239084451[/C][/ROW]
[ROW][C]S.D.[/C][C]0.019102430016563[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.63723091640796[/C][/ROW]
[ROW][C]p-value[/C][C]0.0219552056874146[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7045&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7045&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-34.200348088433
beta0.126787239084451
S.D.0.019102430016563
T-STAT6.63723091640796
p-value0.0219552056874146






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.4272897960178
beta2.21349219268152
S.D.0.208670329919409
T-STAT10.6076038387269
p-value0.0087704637010749
Lambda-1.21349219268152

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -10.4272897960178 \tabularnewline
beta & 2.21349219268152 \tabularnewline
S.D. & 0.208670329919409 \tabularnewline
T-STAT & 10.6076038387269 \tabularnewline
p-value & 0.0087704637010749 \tabularnewline
Lambda & -1.21349219268152 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7045&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.4272897960178[/C][/ROW]
[ROW][C]beta[/C][C]2.21349219268152[/C][/ROW]
[ROW][C]S.D.[/C][C]0.208670329919409[/C][/ROW]
[ROW][C]T-STAT[/C][C]10.6076038387269[/C][/ROW]
[ROW][C]p-value[/C][C]0.0087704637010749[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.21349219268152[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7045&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7045&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-10.4272897960178
beta2.21349219268152
S.D.0.208670329919409
T-STAT10.6076038387269
p-value0.0087704637010749
Lambda-1.21349219268152


Figures (Output of Computation)

Input Parameters & R Code

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')