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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 computationSun, 25 Nov 2007 01:12:06 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/25/t1195978088e5d8fef63b9g8zi.htm/, Retrieved Sat, 04 May 2024 16:28:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6380, Retrieved Sat, 04 May 2024 16:28:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact226

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] [Opdracht 4 Induci...] [2007-11-25 08:12:06] [cb172450b25aceeff04d58e88e905157] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557

Tables (Output of Computation)





Summary of compuational 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 compuational 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=6380&T=0

[TABLE]
[ROW][C]Summary of compuational 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=6380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6380&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 compuational 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
1491.528.195744359743449
2538.08333333333330.422654039184105
3576.66666666666729.105867366418143
4596.2521.9757097310148168
5588.33333333333322.7129651934482171

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 491.5 & 28.1957443597434 & 49 \tabularnewline
2 & 538.083333333333 & 30.422654039184 & 105 \tabularnewline
3 & 576.666666666667 & 29.105867366418 & 143 \tabularnewline
4 & 596.25 & 21.9757097310148 & 168 \tabularnewline
5 & 588.333333333333 & 22.7129651934482 & 171 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6380&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]491.5[/C][C]28.1957443597434[/C][C]49[/C][/ROW]
[ROW][C]2[/C][C]538.083333333333[/C][C]30.422654039184[/C][C]105[/C][/ROW]
[ROW][C]3[/C][C]576.666666666667[/C][C]29.105867366418[/C][C]143[/C][/ROW]
[ROW][C]4[/C][C]596.25[/C][C]21.9757097310148[/C][C]168[/C][/ROW]
[ROW][C]5[/C][C]588.333333333333[/C][C]22.7129651934482[/C][C]171[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6380&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
1491.528.195744359743449
2538.08333333333330.422654039184105
3576.66666666666729.105867366418143
4596.2521.9757097310148168
5588.33333333333322.7129651934482171






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha58.2825903446907
beta-0.0569722344701027
S.D.0.0395076633036149
T-STAT-1.44205528006739
p-value0.244962502311286

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 58.2825903446907 \tabularnewline
beta & -0.0569722344701027 \tabularnewline
S.D. & 0.0395076633036149 \tabularnewline
T-STAT & -1.44205528006739 \tabularnewline
p-value & 0.244962502311286 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6380&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]58.2825903446907[/C][/ROW]
[ROW][C]beta[/C][C]-0.0569722344701027[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0395076633036149[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.44205528006739[/C][/ROW]
[ROW][C]p-value[/C][C]0.244962502311286[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6380&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6380&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)
alpha58.2825903446907
beta-0.0569722344701027
S.D.0.0395076633036149
T-STAT-1.44205528006739
p-value0.244962502311286






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.7721118420479
beta-1.18701562752122
S.D.0.836382965717096
T-STAT-1.41922501554476
p-value0.250893029557923
Lambda2.18701562752122

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.7721118420479 \tabularnewline
beta & -1.18701562752122 \tabularnewline
S.D. & 0.836382965717096 \tabularnewline
T-STAT & -1.41922501554476 \tabularnewline
p-value & 0.250893029557923 \tabularnewline
Lambda & 2.18701562752122 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6380&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.7721118420479[/C][/ROW]
[ROW][C]beta[/C][C]-1.18701562752122[/C][/ROW]
[ROW][C]S.D.[/C][C]0.836382965717096[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.41922501554476[/C][/ROW]
[ROW][C]p-value[/C][C]0.250893029557923[/C][/ROW]
[ROW][C]Lambda[/C][C]2.18701562752122[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6380&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6380&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)
alpha10.7721118420479
beta-1.18701562752122
S.D.0.836382965717096
T-STAT-1.41922501554476
p-value0.250893029557923
Lambda2.18701562752122


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')