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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, 21 Dec 2010 11:43:04 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/21/t12929316521kputeay3oxpimf.htm/, Retrieved Tue, 14 May 2024 08:27:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=113307, Retrieved Tue, 14 May 2024 08:27:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160

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...] [2008-12-11 16:40:34] [12d343c4448a5f9e527bb31caeac580b]
-  M D  [Standard Deviation-Mean Plot] [] [2009-12-11 09:55:52] [cf890101a20378422561610e0d41fd9c]
-    D      [Standard Deviation-Mean Plot] [] [2010-12-21 11:43:04] [7131fefee4115a2a717140ef0bdd6369] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
695
638
762
635
721
854
418
367
824
687
601
676
740
691
683
594
729
731
386
331
707
715
657
653
642
643
718
654
632
731
392
344
792
852
649
629
685
617
715
715
629
916
531
357
917
828
708
858
775
785
1006
789
734
906
532
387
991
841
892
782
813
793
978
775
797
946
594
438
1022
868

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113307&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]5 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=113307&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113307&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1656.5144.512660659574487
2634.75135.84959932353409
3639.833333333333145.229494458275508
4706.333333333333163.343104222277560
5785177.262517188491619

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 656.5 & 144.512660659574 & 487 \tabularnewline
2 & 634.75 & 135.84959932353 & 409 \tabularnewline
3 & 639.833333333333 & 145.229494458275 & 508 \tabularnewline
4 & 706.333333333333 & 163.343104222277 & 560 \tabularnewline
5 & 785 & 177.262517188491 & 619 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113307&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]656.5[/C][C]144.512660659574[/C][C]487[/C][/ROW]
[ROW][C]2[/C][C]634.75[/C][C]135.84959932353[/C][C]409[/C][/ROW]
[ROW][C]3[/C][C]639.833333333333[/C][C]145.229494458275[/C][C]508[/C][/ROW]
[ROW][C]4[/C][C]706.333333333333[/C][C]163.343104222277[/C][C]560[/C][/ROW]
[ROW][C]5[/C][C]785[/C][C]177.262517188491[/C][C]619[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113307&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113307&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
1656.5144.512660659574487
2634.75135.84959932353409
3639.833333333333145.229494458275508
4706.333333333333163.343104222277560
5785177.262517188491619






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-24.1250974847390
beta0.259121828126083
S.D.0.0352305370969655
T-STAT7.3550348498207
p-value0.00519451195506943

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -24.1250974847390 \tabularnewline
beta & 0.259121828126083 \tabularnewline
S.D. & 0.0352305370969655 \tabularnewline
T-STAT & 7.3550348498207 \tabularnewline
p-value & 0.00519451195506943 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113307&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-24.1250974847390[/C][/ROW]
[ROW][C]beta[/C][C]0.259121828126083[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0352305370969655[/C][/ROW]
[ROW][C]T-STAT[/C][C]7.3550348498207[/C][/ROW]
[ROW][C]p-value[/C][C]0.00519451195506943[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113307&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113307&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-24.1250974847390
beta0.259121828126083
S.D.0.0352305370969655
T-STAT7.3550348498207
p-value0.00519451195506943






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.59925535866664
beta1.16875094884137
S.D.0.168983557913740
T-STAT6.91635898350524
p-value0.00619559756855069
Lambda-0.168750948841370

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.59925535866664 \tabularnewline
beta & 1.16875094884137 \tabularnewline
S.D. & 0.168983557913740 \tabularnewline
T-STAT & 6.91635898350524 \tabularnewline
p-value & 0.00619559756855069 \tabularnewline
Lambda & -0.168750948841370 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=113307&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.59925535866664[/C][/ROW]
[ROW][C]beta[/C][C]1.16875094884137[/C][/ROW]
[ROW][C]S.D.[/C][C]0.168983557913740[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.91635898350524[/C][/ROW]
[ROW][C]p-value[/C][C]0.00619559756855069[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.168750948841370[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=113307&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=113307&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-2.59925535866664
beta1.16875094884137
S.D.0.168983557913740
T-STAT6.91635898350524
p-value0.00619559756855069
Lambda-0.168750948841370


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')