FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 22 Apr 2013 07:04:22 -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/22/t1366628896kgv0l6rzmbvwkro.htm/, Retrieved Mon, 29 Apr 2024 16:22:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208244, Retrieved Mon, 29 Apr 2024 16:22:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsyasmien.naciri@student.kdg.be
Estimated Impact109

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] [] [2013-04-22 11:04:22] [d06e8713ea83045a022ab0926c74dd0b] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581
564
558
575
580
575
563
552
537
545
601
604
586
564
549
551
556
548
540
531
521
519
572
581
563
548
539
541
562
559
546
536
528
530
582
599
584
571
563
565

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208244&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208244&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208244&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1536.16666666666722.032345368213666
2504.7519.484842593900865
3549.7526.907670417052681
4569.2521.490484152082567
5547.41666666666718.980652030822162
6558.41666666666722.849142945268971

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 536.166666666667 & 22.0323453682136 & 66 \tabularnewline
2 & 504.75 & 19.4848425939008 & 65 \tabularnewline
3 & 549.75 & 26.9076704170526 & 81 \tabularnewline
4 & 569.25 & 21.4904841520825 & 67 \tabularnewline
5 & 547.416666666667 & 18.9806520308221 & 62 \tabularnewline
6 & 558.416666666667 & 22.8491429452689 & 71 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208244&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]536.166666666667[/C][C]22.0323453682136[/C][C]66[/C][/ROW]
[ROW][C]2[/C][C]504.75[/C][C]19.4848425939008[/C][C]65[/C][/ROW]
[ROW][C]3[/C][C]549.75[/C][C]26.9076704170526[/C][C]81[/C][/ROW]
[ROW][C]4[/C][C]569.25[/C][C]21.4904841520825[/C][C]67[/C][/ROW]
[ROW][C]5[/C][C]547.416666666667[/C][C]18.9806520308221[/C][C]62[/C][/ROW]
[ROW][C]6[/C][C]558.416666666667[/C][C]22.8491429452689[/C][C]71[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208244&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208244&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
1536.16666666666722.032345368213666
2504.7519.484842593900865
3549.7526.907670417052681
4569.2521.490484152082567
5547.41666666666718.980652030822162
6558.41666666666722.849142945268971






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-3.34401226774411
beta0.0464852518146843
S.D.0.0593579794760383
T-STAT0.783133998579744
p-value0.477318844268098

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.34401226774411 \tabularnewline
beta & 0.0464852518146843 \tabularnewline
S.D. & 0.0593579794760383 \tabularnewline
T-STAT & 0.783133998579744 \tabularnewline
p-value & 0.477318844268098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208244&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.34401226774411[/C][/ROW]
[ROW][C]beta[/C][C]0.0464852518146843[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0593579794760383[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.783133998579744[/C][/ROW]
[ROW][C]p-value[/C][C]0.477318844268098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208244&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208244&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-3.34401226774411
beta0.0464852518146843
S.D.0.0593579794760383
T-STAT0.783133998579744
p-value0.477318844268098






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.27997128396798
beta1.1688617095922
S.D.1.38380951000202
T-STAT0.844669516392103
p-value0.445855530439905
Lambda-0.168861709592197

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.27997128396798 \tabularnewline
beta & 1.1688617095922 \tabularnewline
S.D. & 1.38380951000202 \tabularnewline
T-STAT & 0.844669516392103 \tabularnewline
p-value & 0.445855530439905 \tabularnewline
Lambda & -0.168861709592197 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208244&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.27997128396798[/C][/ROW]
[ROW][C]beta[/C][C]1.1688617095922[/C][/ROW]
[ROW][C]S.D.[/C][C]1.38380951000202[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.844669516392103[/C][/ROW]
[ROW][C]p-value[/C][C]0.445855530439905[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.168861709592197[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208244&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208244&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-4.27997128396798
beta1.1688617095922
S.D.1.38380951000202
T-STAT0.844669516392103
p-value0.445855530439905
Lambda-0.168861709592197


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')