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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 computationThu, 28 May 2009 12:10:18 -0600
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/May/28/t1243534247yb40uhl42se5f80.htm/, Retrieved Mon, 06 May 2024 03:04:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40679, Retrieved Mon, 06 May 2024 03:04:02 +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...] [2009-05-28 18:10:18] [8066ce735b3f8beadb711a8680cf7d00] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 8 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40679&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40679&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40679&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 time8 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1541.66666666666730.502856299439379
2579.08333333333328.981054417524576
3596.41666666666721.939828180869262
4585.66666666666723.959561892084069
5528.91666666666720.263977592733166
6505.83333333333320.435411926507965

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 541.666666666667 & 30.5028562994393 & 79 \tabularnewline
2 & 579.083333333333 & 28.9810544175245 & 76 \tabularnewline
3 & 596.416666666667 & 21.9398281808692 & 62 \tabularnewline
4 & 585.666666666667 & 23.9595618920840 & 69 \tabularnewline
5 & 528.916666666667 & 20.2639775927331 & 66 \tabularnewline
6 & 505.833333333333 & 20.4354119265079 & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40679&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]541.666666666667[/C][C]30.5028562994393[/C][C]79[/C][/ROW]
[ROW][C]2[/C][C]579.083333333333[/C][C]28.9810544175245[/C][C]76[/C][/ROW]
[ROW][C]3[/C][C]596.416666666667[/C][C]21.9398281808692[/C][C]62[/C][/ROW]
[ROW][C]4[/C][C]585.666666666667[/C][C]23.9595618920840[/C][C]69[/C][/ROW]
[ROW][C]5[/C][C]528.916666666667[/C][C]20.2639775927331[/C][C]66[/C][/ROW]
[ROW][C]6[/C][C]505.833333333333[/C][C]20.4354119265079[/C][C]65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40679&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40679&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
1541.66666666666730.502856299439379
2579.08333333333328.981054417524576
3596.41666666666721.939828180869262
4585.66666666666723.959561892084069
5528.91666666666720.263977592733166
6505.83333333333320.435411926507965






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.8014129163464
beta0.0333397556548639
S.D.0.0588462685473979
T-STAT0.566556834916564
p-value0.601292899725607

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.8014129163464 \tabularnewline
beta & 0.0333397556548639 \tabularnewline
S.D. & 0.0588462685473979 \tabularnewline
T-STAT & 0.566556834916564 \tabularnewline
p-value & 0.601292899725607 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40679&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.8014129163464[/C][/ROW]
[ROW][C]beta[/C][C]0.0333397556548639[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0588462685473979[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.566556834916564[/C][/ROW]
[ROW][C]p-value[/C][C]0.601292899725607[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40679&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40679&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)
alpha5.8014129163464
beta0.0333397556548639
S.D.0.0588462685473979
T-STAT0.566556834916564
p-value0.601292899725607






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.34196287464741
beta0.873676119279792
S.D.1.27583612790598
T-STAT0.684787097786412
p-value0.531097630054673
Lambda0.126323880720208

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.34196287464741 \tabularnewline
beta & 0.873676119279792 \tabularnewline
S.D. & 1.27583612790598 \tabularnewline
T-STAT & 0.684787097786412 \tabularnewline
p-value & 0.531097630054673 \tabularnewline
Lambda & 0.126323880720208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40679&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.34196287464741[/C][/ROW]
[ROW][C]beta[/C][C]0.873676119279792[/C][/ROW]
[ROW][C]S.D.[/C][C]1.27583612790598[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.684787097786412[/C][/ROW]
[ROW][C]p-value[/C][C]0.531097630054673[/C][/ROW]
[ROW][C]Lambda[/C][C]0.126323880720208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40679&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40679&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-2.34196287464741
beta0.873676119279792
S.D.1.27583612790598
T-STAT0.684787097786412
p-value0.531097630054673
Lambda0.126323880720208


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')