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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, 29 Dec 2010 11:43:03 +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/29/t12936228314n1uxt2a2f08lir.htm/, Retrieved Fri, 03 May 2024 06:46:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116726, Retrieved Fri, 03 May 2024 06:46:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
- R  D        [Standard Deviation-Mean Plot] [Bestedingen consu...] [2009-11-24 16:02:10] [54d83950395cfb8ca1091bdb7440f70a]
- R  D            [Standard Deviation-Mean Plot] [] [2010-12-29 11:43:03] [4afc4ea409ad669ec2851bc39795365d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
557560
575093
580112
574761
563250
551531
537034
544686
600991
604378
586111
563668
548604

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116726&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116726&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116726&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1591583.41666666720492.339275749560067
2536043.522048.403836270665929
3504708.08333333319468.817877259064233
4549616.16666666726769.61597793480453
5569184.91666666721651.883233055767344

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 591583.416666667 & 20492.3392757495 & 60067 \tabularnewline
2 & 536043.5 & 22048.4038362706 & 65929 \tabularnewline
3 & 504708.083333333 & 19468.8178772590 & 64233 \tabularnewline
4 & 549616.166666667 & 26769.615977934 & 80453 \tabularnewline
5 & 569184.916666667 & 21651.8832330557 & 67344 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116726&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]591583.416666667[/C][C]20492.3392757495[/C][C]60067[/C][/ROW]
[ROW][C]2[/C][C]536043.5[/C][C]22048.4038362706[/C][C]65929[/C][/ROW]
[ROW][C]3[/C][C]504708.083333333[/C][C]19468.8178772590[/C][C]64233[/C][/ROW]
[ROW][C]4[/C][C]549616.166666667[/C][C]26769.615977934[/C][C]80453[/C][/ROW]
[ROW][C]5[/C][C]569184.916666667[/C][C]21651.8832330557[/C][C]67344[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116726&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116726&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
1591583.41666666720492.339275749560067
2536043.522048.403836270665929
3504708.08333333319468.817877259064233
4549616.16666666726769.61597793480453
5569184.91666666721651.883233055767344






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha16681.1248296754
beta0.00982337304781635
S.D.0.0488524039468719
T-STAT0.201082695101340
p-value0.85349535186266

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 16681.1248296754 \tabularnewline
beta & 0.00982337304781635 \tabularnewline
S.D. & 0.0488524039468719 \tabularnewline
T-STAT & 0.201082695101340 \tabularnewline
p-value & 0.85349535186266 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116726&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16681.1248296754[/C][/ROW]
[ROW][C]beta[/C][C]0.00982337304781635[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0488524039468719[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.201082695101340[/C][/ROW]
[ROW][C]p-value[/C][C]0.85349535186266[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116726&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116726&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)
alpha16681.1248296754
beta0.00982337304781635
S.D.0.0488524039468719
T-STAT0.201082695101340
p-value0.85349535186266






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.83173006501829
beta0.315126861435198
S.D.1.14634139163529
T-STAT0.274897917613931
p-value0.801239508152585
Lambda0.684873138564802

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.83173006501829 \tabularnewline
beta & 0.315126861435198 \tabularnewline
S.D. & 1.14634139163529 \tabularnewline
T-STAT & 0.274897917613931 \tabularnewline
p-value & 0.801239508152585 \tabularnewline
Lambda & 0.684873138564802 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116726&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.83173006501829[/C][/ROW]
[ROW][C]beta[/C][C]0.315126861435198[/C][/ROW]
[ROW][C]S.D.[/C][C]1.14634139163529[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.274897917613931[/C][/ROW]
[ROW][C]p-value[/C][C]0.801239508152585[/C][/ROW]
[ROW][C]Lambda[/C][C]0.684873138564802[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116726&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116726&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)
alpha5.83173006501829
beta0.315126861435198
S.D.1.14634139163529
T-STAT0.274897917613931
p-value0.801239508152585
Lambda0.684873138564802


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')