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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 computationFri, 23 Nov 2007 09:00:49 -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/23/t11958331822xm9s486uy6isso.htm/, Retrieved Mon, 29 Apr 2024 04:53:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6212, Retrieved Mon, 29 Apr 2024 04:53:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

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 dev mean...] [2007-11-23 16:00:49] [b176257abd08d2d08cefecfa982b6373] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
476049
474605
470439
461251
454724
455626
516847
525192
522975
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

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6212&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6212&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6212&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1469739.528068.080740487945890
2491480.83333333328234.064982291265122
3538140.530455.5634072750131726
4576612.08333333329164.6853090213169746
5596397.41666666721872.3045735026192797
6588261.16666666722629.6202869896194481

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 469739.5 & 28068.0807404879 & 45890 \tabularnewline
2 & 491480.833333333 & 28234.0649822912 & 65122 \tabularnewline
3 & 538140.5 & 30455.5634072750 & 131726 \tabularnewline
4 & 576612.083333333 & 29164.6853090213 & 169746 \tabularnewline
5 & 596397.416666667 & 21872.3045735026 & 192797 \tabularnewline
6 & 588261.166666667 & 22629.6202869896 & 194481 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6212&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]469739.5[/C][C]28068.0807404879[/C][C]45890[/C][/ROW]
[ROW][C]2[/C][C]491480.833333333[/C][C]28234.0649822912[/C][C]65122[/C][/ROW]
[ROW][C]3[/C][C]538140.5[/C][C]30455.5634072750[/C][C]131726[/C][/ROW]
[ROW][C]4[/C][C]576612.083333333[/C][C]29164.6853090213[/C][C]169746[/C][/ROW]
[ROW][C]5[/C][C]596397.416666667[/C][C]21872.3045735026[/C][C]192797[/C][/ROW]
[ROW][C]6[/C][C]588261.166666667[/C][C]22629.6202869896[/C][C]194481[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6212&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6212&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
1469739.528068.080740487945890
2491480.83333333328234.064982291265122
3538140.530455.5634072750131726
4576612.08333333329164.6853090213169746
5596397.41666666721872.3045735026192797
6588261.16666666722629.6202869896194481






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha48237.2706194971
beta-0.0395626750270354
S.D.0.0273933100234475
T-STAT-1.44424587584237
p-value0.222169164312605

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 48237.2706194971 \tabularnewline
beta & -0.0395626750270354 \tabularnewline
S.D. & 0.0273933100234475 \tabularnewline
T-STAT & -1.44424587584237 \tabularnewline
p-value & 0.222169164312605 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6212&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]48237.2706194971[/C][/ROW]
[ROW][C]beta[/C][C]-0.0395626750270354[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0273933100234475[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.44424587584237[/C][/ROW]
[ROW][C]p-value[/C][C]0.222169164312605[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6212&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6212&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)
alpha48237.2706194971
beta-0.0395626750270354
S.D.0.0273933100234475
T-STAT-1.44424587584237
p-value0.222169164312605






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha20.9992224180185
beta-0.819092810533208
S.D.0.567946294509777
T-STAT-1.44220117016558
p-value0.222706897060047
Lambda1.81909281053321

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 20.9992224180185 \tabularnewline
beta & -0.819092810533208 \tabularnewline
S.D. & 0.567946294509777 \tabularnewline
T-STAT & -1.44220117016558 \tabularnewline
p-value & 0.222706897060047 \tabularnewline
Lambda & 1.81909281053321 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6212&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]20.9992224180185[/C][/ROW]
[ROW][C]beta[/C][C]-0.819092810533208[/C][/ROW]
[ROW][C]S.D.[/C][C]0.567946294509777[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.44220117016558[/C][/ROW]
[ROW][C]p-value[/C][C]0.222706897060047[/C][/ROW]
[ROW][C]Lambda[/C][C]1.81909281053321[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6212&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6212&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)
alpha20.9992224180185
beta-0.819092810533208
S.D.0.567946294509777
T-STAT-1.44220117016558
p-value0.222706897060047
Lambda1.81909281053321


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')