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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 computationMon, 29 Apr 2013 13:37:51 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Apr/29/t1367257084qn17knvsf2520gn.htm/, Retrieved Fri, 03 May 2024 11:40:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208529, Retrieved Fri, 03 May 2024 11:40:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59

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] [] [2013-04-29 17:37:51] [5d7546d7dacadccf70943ca90d1ce990] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
748950
732973
746155
738949
729412
726562
715275
728702
717077
708408
676904
654143
652499
668754
679669
698930
726323
739294
752664
744275
728981
713645
703733
713572
702718
712740
702542
686170
657085
640511
640671
631680
614998
611805
603060
577483
592114
595833
640281
681011
683855
658764
690437
683431
699181
701566
687202
682328
676020
625576
622789
602783
586959
546937
552428
533891
513237
515609
509682
487134
468321
458101
450801
442803
433625
428685
419470
411306
415669
411813
409586
406666

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208529&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208529&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208529&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1718625.83333333327951.116292014194807
2710194.91666666731034.9161325766100165
3648455.2544173.993441483135257
4666333.58333333337685.5718580089109452
5564420.41666666757945.392497762188886
6429737.16666666720946.908089623961655

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 718625.833333333 & 27951.1162920141 & 94807 \tabularnewline
2 & 710194.916666667 & 31034.9161325766 & 100165 \tabularnewline
3 & 648455.25 & 44173.993441483 & 135257 \tabularnewline
4 & 666333.583333333 & 37685.5718580089 & 109452 \tabularnewline
5 & 564420.416666667 & 57945.392497762 & 188886 \tabularnewline
6 & 429737.166666667 & 20946.9080896239 & 61655 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208529&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]718625.833333333[/C][C]27951.1162920141[/C][C]94807[/C][/ROW]
[ROW][C]2[/C][C]710194.916666667[/C][C]31034.9161325766[/C][C]100165[/C][/ROW]
[ROW][C]3[/C][C]648455.25[/C][C]44173.993441483[/C][C]135257[/C][/ROW]
[ROW][C]4[/C][C]666333.583333333[/C][C]37685.5718580089[/C][C]109452[/C][/ROW]
[ROW][C]5[/C][C]564420.416666667[/C][C]57945.392497762[/C][C]188886[/C][/ROW]
[ROW][C]6[/C][C]429737.166666667[/C][C]20946.9080896239[/C][C]61655[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208529&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208529&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
1718625.83333333327951.116292014194807
2710194.91666666731034.9161325766100165
3648455.2544173.993441483135257
4666333.58333333337685.5718580089109452
5564420.41666666757945.392497762188886
6429737.16666666720946.908089623961655






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha29337.9344049272
beta0.0116942254380404
S.D.0.0597201858952956
T-STAT0.195816963104289
p-value0.854298786098148

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 29337.9344049272 \tabularnewline
beta & 0.0116942254380404 \tabularnewline
S.D. & 0.0597201858952956 \tabularnewline
T-STAT & 0.195816963104289 \tabularnewline
p-value & 0.854298786098148 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208529&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]29337.9344049272[/C][/ROW]
[ROW][C]beta[/C][C]0.0116942254380404[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0597201858952956[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.195816963104289[/C][/ROW]
[ROW][C]p-value[/C][C]0.854298786098148[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208529&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208529&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)
alpha29337.9344049272
beta0.0116942254380404
S.D.0.0597201858952956
T-STAT0.195816963104289
p-value0.854298786098148






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.97953648723332
beta0.560919380503671
S.D.0.875215470733321
T-STAT0.640892899246503
p-value0.556466793990871
Lambda0.439080619496329

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.97953648723332 \tabularnewline
beta & 0.560919380503671 \tabularnewline
S.D. & 0.875215470733321 \tabularnewline
T-STAT & 0.640892899246503 \tabularnewline
p-value & 0.556466793990871 \tabularnewline
Lambda & 0.439080619496329 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208529&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.97953648723332[/C][/ROW]
[ROW][C]beta[/C][C]0.560919380503671[/C][/ROW]
[ROW][C]S.D.[/C][C]0.875215470733321[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.640892899246503[/C][/ROW]
[ROW][C]p-value[/C][C]0.556466793990871[/C][/ROW]
[ROW][C]Lambda[/C][C]0.439080619496329[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208529&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208529&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)
alpha2.97953648723332
beta0.560919380503671
S.D.0.875215470733321
T-STAT0.640892899246503
p-value0.556466793990871
Lambda0.439080619496329


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')