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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 computationSun, 26 Dec 2010 12:16:18 +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/26/t1293367813a29iowmvdicheo5.htm/, Retrieved Sun, 05 May 2024 10:57:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115575, Retrieved Sun, 05 May 2024 10:57:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsStandard deviaton mean plot
Estimated Impact145

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]
-    D        [Standard Deviation-Mean Plot] [] [2009-11-24 18:03:16] [b7349fb284cae6f1172638396d27b11f]
-    D            [Standard Deviation-Mean Plot] [Paper] [2010-12-26 12:16:18] [e247a0a17f1c9a5b89239760575ef468] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
548604
563668
586111
604378
600991
544686
537034
551531
563250
574761
580112
575093
557560
564478
580523
596594
586570
536214
523597
536535
536322
532638
528222
516141
501866
506174
517945
533590
528379
477580
469357
490243
492622
507561
516922
514258
509846
527070
541657
564591
555362
498662
511038
525919
531673
548854
560576
557274
565742
587625
619916
625809
619567
572942
572775
574205
579799
590072
593408
597141
595404

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=115575&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=115575&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115575&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
1569184.91666666721651.883233055767344
2549616.16666666726769.61597793480453
3504708.08333333319468.817877259064233
4536043.522048.403836270665929
5591583.41666666720492.339275749560067

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 569184.916666667 & 21651.8832330557 & 67344 \tabularnewline
2 & 549616.166666667 & 26769.615977934 & 80453 \tabularnewline
3 & 504708.083333333 & 19468.8178772590 & 64233 \tabularnewline
4 & 536043.5 & 22048.4038362706 & 65929 \tabularnewline
5 & 591583.416666667 & 20492.3392757495 & 60067 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115575&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]569184.916666667[/C][C]21651.8832330557[/C][C]67344[/C][/ROW]
[ROW][C]2[/C][C]549616.166666667[/C][C]26769.615977934[/C][C]80453[/C][/ROW]
[ROW][C]3[/C][C]504708.083333333[/C][C]19468.8178772590[/C][C]64233[/C][/ROW]
[ROW][C]4[/C][C]536043.5[/C][C]22048.4038362706[/C][C]65929[/C][/ROW]
[ROW][C]5[/C][C]591583.416666667[/C][C]20492.3392757495[/C][C]60067[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115575&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115575&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
1569184.91666666721651.883233055767344
2549616.16666666726769.61597793480453
3504708.08333333319468.817877259064233
4536043.522048.403836270665929
5591583.41666666720492.339275749560067






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=115575&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=115575&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115575&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)
alpha5.83173006501839
beta0.31512686143519
S.D.1.14634139163529
T-STAT0.274897917613926
p-value0.801239508152589
Lambda0.68487313856481

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.83173006501839 \tabularnewline
beta & 0.31512686143519 \tabularnewline
S.D. & 1.14634139163529 \tabularnewline
T-STAT & 0.274897917613926 \tabularnewline
p-value & 0.801239508152589 \tabularnewline
Lambda & 0.68487313856481 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115575&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.83173006501839[/C][/ROW]
[ROW][C]beta[/C][C]0.31512686143519[/C][/ROW]
[ROW][C]S.D.[/C][C]1.14634139163529[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.274897917613926[/C][/ROW]
[ROW][C]p-value[/C][C]0.801239508152589[/C][/ROW]
[ROW][C]Lambda[/C][C]0.68487313856481[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115575&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115575&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)
alpha5.83173006501839
beta0.31512686143519
S.D.1.14634139163529
T-STAT0.274897917613926
p-value0.801239508152589
Lambda0.68487313856481


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')