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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 computationWed, 09 Dec 2009 07:38:27 -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/09/t1260369570wnzcjotafzb5iqq.htm/, Retrieved Mon, 29 Apr 2024 14:19:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64973, Retrieved Mon, 29 Apr 2024 14:19:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordssdws paper
Estimated Impact132

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [(partial) autocor...] [2009-12-09 13:20:29] [f7fc9270f813d017f9fa5b506fdc7682]
- RMP     [Standard Deviation-Mean Plot] [standard deviatio...] [2009-12-09 14:38:27] [2d672adbf8ae6977476cb9852ecac1a3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258
516922
507561
492622
490243
469357
477580
528379
533590
517945
506174
501866
516141
528222
532638
536322
536535
523597
536214
586570
596594
580523
564478

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=64973&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=64973&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64973&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
1527512.66666666729584.672227149678857
2565499.66666666726048.240049895375951
3596087.66666666721828.351103067561428
4596096.2519371.217416686753034
5545747.7525213.998543828488963
6507114.41666666720485.306128399564233
7540116.33333333331163.929351191694728

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 527512.666666667 & 29584.6722271496 & 78857 \tabularnewline
2 & 565499.666666667 & 26048.2400498953 & 75951 \tabularnewline
3 & 596087.666666667 & 21828.3511030675 & 61428 \tabularnewline
4 & 596096.25 & 19371.2174166867 & 53034 \tabularnewline
5 & 545747.75 & 25213.9985438284 & 88963 \tabularnewline
6 & 507114.416666667 & 20485.3061283995 & 64233 \tabularnewline
7 & 540116.333333333 & 31163.9293511916 & 94728 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64973&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]527512.666666667[/C][C]29584.6722271496[/C][C]78857[/C][/ROW]
[ROW][C]2[/C][C]565499.666666667[/C][C]26048.2400498953[/C][C]75951[/C][/ROW]
[ROW][C]3[/C][C]596087.666666667[/C][C]21828.3511030675[/C][C]61428[/C][/ROW]
[ROW][C]4[/C][C]596096.25[/C][C]19371.2174166867[/C][C]53034[/C][/ROW]
[ROW][C]5[/C][C]545747.75[/C][C]25213.9985438284[/C][C]88963[/C][/ROW]
[ROW][C]6[/C][C]507114.416666667[/C][C]20485.3061283995[/C][C]64233[/C][/ROW]
[ROW][C]7[/C][C]540116.333333333[/C][C]31163.9293511916[/C][C]94728[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64973&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64973&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
1527512.66666666729584.672227149678857
2565499.66666666726048.240049895375951
3596087.66666666721828.351103067561428
4596096.2519371.217416686753034
5545747.7525213.998543828488963
6507114.41666666720485.306128399564233
7540116.33333333331163.929351191694728






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha53620.0498765502
beta-0.0519947262086714
S.D.0.0550418645124408
T-STAT-0.944639624206758
p-value0.388217674608312

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 53620.0498765502 \tabularnewline
beta & -0.0519947262086714 \tabularnewline
S.D. & 0.0550418645124408 \tabularnewline
T-STAT & -0.944639624206758 \tabularnewline
p-value & 0.388217674608312 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64973&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]53620.0498765502[/C][/ROW]
[ROW][C]beta[/C][C]-0.0519947262086714[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0550418645124408[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.944639624206758[/C][/ROW]
[ROW][C]p-value[/C][C]0.388217674608312[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64973&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64973&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)
alpha53620.0498765502
beta-0.0519947262086714
S.D.0.0550418645124408
T-STAT-0.944639624206758
p-value0.388217674608312






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha24.6046167375287
beta-1.0965154338607
S.D.1.24362640187549
T-STAT-0.881708069406589
p-value0.41829775332391
Lambda2.0965154338607

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.6046167375287 \tabularnewline
beta & -1.0965154338607 \tabularnewline
S.D. & 1.24362640187549 \tabularnewline
T-STAT & -0.881708069406589 \tabularnewline
p-value & 0.41829775332391 \tabularnewline
Lambda & 2.0965154338607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64973&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.6046167375287[/C][/ROW]
[ROW][C]beta[/C][C]-1.0965154338607[/C][/ROW]
[ROW][C]S.D.[/C][C]1.24362640187549[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.881708069406589[/C][/ROW]
[ROW][C]p-value[/C][C]0.41829775332391[/C][/ROW]
[ROW][C]Lambda[/C][C]2.0965154338607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64973&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64973&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)
alpha24.6046167375287
beta-1.0965154338607
S.D.1.24362640187549
T-STAT-0.881708069406589
p-value0.41829775332391
Lambda2.0965154338607


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')