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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 13:55:27 +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/t1293630802kmgeq4v7r8az20c.htm/, Retrieved Fri, 03 May 2024 14:48:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116843, Retrieved Fri, 03 May 2024 14:48:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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] [SDMP Werkloosheid...] [2010-12-28 11:26:16] [ed447cc2ebcc70947ad11d93fa385845]
-    D    [Standard Deviation-Mean Plot] [] [2010-12-29 13:55:27] [e8bffe463cbaa638f5c41694f8d1de39] [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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116843&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116843&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116843&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1569184.91666666721651.883233055767344
2549616.16666666726769.615977934080453
3504708.08333333319468.817877259064233
4536043.522048.403836270665929

\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 & 26769.6159779340 & 80453 \tabularnewline
3 & 504708.083333333 & 19468.8178772590 & 64233 \tabularnewline
4 & 536043.5 & 22048.4038362706 & 65929 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116843&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]26769.6159779340[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116843&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116843&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
2549616.16666666726769.615977934080453
3504708.08333333319468.817877259064233
4536043.522048.403836270665929






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-8131.31322919602
beta0.0567080283484497
S.D.0.0694072869923747
T-STAT0.817032775747016
p-value0.499753797446617

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -8131.31322919602 \tabularnewline
beta & 0.0567080283484497 \tabularnewline
S.D. & 0.0694072869923747 \tabularnewline
T-STAT & 0.817032775747016 \tabularnewline
p-value & 0.499753797446617 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116843&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8131.31322919602[/C][/ROW]
[ROW][C]beta[/C][C]0.0567080283484497[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0694072869923747[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.817032775747016[/C][/ROW]
[ROW][C]p-value[/C][C]0.499753797446617[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116843&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116843&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-8131.31322919602
beta0.0567080283484497
S.D.0.0694072869923747
T-STAT0.817032775747016
p-value0.499753797446617






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.73885046867122
beta1.42085779722194
S.D.1.55541299460393
T-STAT0.913492302141753
p-value0.457413356837675
Lambda-0.42085779722194

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.73885046867122 \tabularnewline
beta & 1.42085779722194 \tabularnewline
S.D. & 1.55541299460393 \tabularnewline
T-STAT & 0.913492302141753 \tabularnewline
p-value & 0.457413356837675 \tabularnewline
Lambda & -0.42085779722194 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116843&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.73885046867122[/C][/ROW]
[ROW][C]beta[/C][C]1.42085779722194[/C][/ROW]
[ROW][C]S.D.[/C][C]1.55541299460393[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.913492302141753[/C][/ROW]
[ROW][C]p-value[/C][C]0.457413356837675[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.42085779722194[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116843&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116843&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-8.73885046867122
beta1.42085779722194
S.D.1.55541299460393
T-STAT0.913492302141753
p-value0.457413356837675
Lambda-0.42085779722194


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')