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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 15 Dec 2009 06:02:18 -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/2009/Dec/15/t1260882230minw5r5e7nt2597.htm/, Retrieved Wed, 08 May 2024 20:38:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67884, Retrieved Wed, 08 May 2024 20:38:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

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] [Standard Deviatio...] [2008-12-21 15:20:27] [005278dde49cfd8c32bf201feaeb19d6]
-  M D    [Standard Deviation-Mean Plot] [] [2009-12-15 13:02:18] [cb3e966d7bf80cd999a0432e97d174a7] [Current]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-20 13:36:54] [1c68450965e88b7c1ed117c35898acdf]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
558
564
581
597
587
536
524
537
536
533
528
516
502
506
518
534
528
478
469
490
493
508
517
514
510
527
542
565
555
499
511
526
532
549
561
557
566
588
620
626
620
573
573
574
580
590
593
597
595
612
628
629
621
569
567
573
584
589
591
595

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67884&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]2 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=67884&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67884&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1549.7526.907670417052681
2504.7519.484842593900865
3536.16666666666722.032345368213666
4591.66666666666720.526405757787560
5596.08333333333321.977088620707362

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 549.75 & 26.9076704170526 & 81 \tabularnewline
2 & 504.75 & 19.4848425939008 & 65 \tabularnewline
3 & 536.166666666667 & 22.0323453682136 & 66 \tabularnewline
4 & 591.666666666667 & 20.5264057577875 & 60 \tabularnewline
5 & 596.083333333333 & 21.9770886207073 & 62 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67884&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]549.75[/C][C]26.9076704170526[/C][C]81[/C][/ROW]
[ROW][C]2[/C][C]504.75[/C][C]19.4848425939008[/C][C]65[/C][/ROW]
[ROW][C]3[/C][C]536.166666666667[/C][C]22.0323453682136[/C][C]66[/C][/ROW]
[ROW][C]4[/C][C]591.666666666667[/C][C]20.5264057577875[/C][C]60[/C][/ROW]
[ROW][C]5[/C][C]596.083333333333[/C][C]21.9770886207073[/C][C]62[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67884&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67884&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
1549.7526.907670417052681
2504.7519.484842593900865
3536.16666666666722.032345368213666
4591.66666666666720.526405757787560
5596.08333333333321.977088620707362






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha18.0297203680336
beta0.00747899016256043
S.D.0.0424386926307997
T-STAT0.176230456193002
p-value0.871337914490174

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18.0297203680336 \tabularnewline
beta & 0.00747899016256043 \tabularnewline
S.D. & 0.0424386926307997 \tabularnewline
T-STAT & 0.176230456193002 \tabularnewline
p-value & 0.871337914490174 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67884&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.0297203680336[/C][/ROW]
[ROW][C]beta[/C][C]0.00747899016256043[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0424386926307997[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.176230456193002[/C][/ROW]
[ROW][C]p-value[/C][C]0.871337914490174[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67884&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67884&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)
alpha18.0297203680336
beta0.00747899016256043
S.D.0.0424386926307997
T-STAT0.176230456193002
p-value0.871337914490174






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.45349931449910
beta0.259526420411191
S.D.1.00277483418538
T-STAT0.258808270375096
p-value0.812524833450874
Lambda0.740473579588809

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.45349931449910 \tabularnewline
beta & 0.259526420411191 \tabularnewline
S.D. & 1.00277483418538 \tabularnewline
T-STAT & 0.258808270375096 \tabularnewline
p-value & 0.812524833450874 \tabularnewline
Lambda & 0.740473579588809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67884&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.45349931449910[/C][/ROW]
[ROW][C]beta[/C][C]0.259526420411191[/C][/ROW]
[ROW][C]S.D.[/C][C]1.00277483418538[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.258808270375096[/C][/ROW]
[ROW][C]p-value[/C][C]0.812524833450874[/C][/ROW]
[ROW][C]Lambda[/C][C]0.740473579588809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67884&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67884&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)
alpha1.45349931449910
beta0.259526420411191
S.D.1.00277483418538
T-STAT0.258808270375096
p-value0.812524833450874
Lambda0.740473579588809


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')