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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 computationMon, 08 Dec 2008 13:30:45 -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/2008/Dec/08/t1228768421n2nx521edgqb2xu.htm/, Retrieved Thu, 16 May 2024 09:28:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30974, Retrieved Thu, 16 May 2024 09:28:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Standard Deviation-Mean Plot] [] [2008-12-01 21:10:18] [cb714085b233acee8e8acd879ea442b6]
-   PD      [Standard Deviation-Mean Plot] [] [2008-12-08 20:30:45] [787873b6436f665b5b192a0bdb2e43c9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
34
39
40
45
43
42
49
43
50
44
40
41
45
45
48
54
47
35
28
28
34
23
33
38
41
47
46
45
47
49
50
56
50
56
58
59
51
59
60
60
68
62
62
58
56
50
52
36
33
26
28
27
20
16
11
0
3
10
0
3

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30974&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30974&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30974&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
142.54.3379928328873316
238.16666666666679.5805990829320731
350.33333333333335.6942288700264318
456.16666666666678.1890540394239732
514.7511.917328864839133

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 42.5 & 4.33799283288733 & 16 \tabularnewline
2 & 38.1666666666667 & 9.58059908293207 & 31 \tabularnewline
3 & 50.3333333333333 & 5.69422887002643 & 18 \tabularnewline
4 & 56.1666666666667 & 8.18905403942397 & 32 \tabularnewline
5 & 14.75 & 11.9173288648391 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30974&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]42.5[/C][C]4.33799283288733[/C][C]16[/C][/ROW]
[ROW][C]2[/C][C]38.1666666666667[/C][C]9.58059908293207[/C][C]31[/C][/ROW]
[ROW][C]3[/C][C]50.3333333333333[/C][C]5.69422887002643[/C][C]18[/C][/ROW]
[ROW][C]4[/C][C]56.1666666666667[/C][C]8.18905403942397[/C][C]32[/C][/ROW]
[ROW][C]5[/C][C]14.75[/C][C]11.9173288648391[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30974&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30974&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
142.54.3379928328873316
238.16666666666679.5805990829320731
350.33333333333335.6942288700264318
456.16666666666678.1890540394239732
514.7511.917328864839133






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha13.1830273444024
beta-0.129736358391595
S.D.0.0800694277260992
T-STAT-1.6202983095545
p-value0.203611011836746

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 13.1830273444024 \tabularnewline
beta & -0.129736358391595 \tabularnewline
S.D. & 0.0800694277260992 \tabularnewline
T-STAT & -1.6202983095545 \tabularnewline
p-value & 0.203611011836746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30974&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.1830273444024[/C][/ROW]
[ROW][C]beta[/C][C]-0.129736358391595[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0800694277260992[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.6202983095545[/C][/ROW]
[ROW][C]p-value[/C][C]0.203611011836746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30974&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30974&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)
alpha13.1830273444024
beta-0.129736358391595
S.D.0.0800694277260992
T-STAT-1.6202983095545
p-value0.203611011836746






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.73297852175606
beta-0.477961101282631
S.D.0.342073360547861
T-STAT-1.39724736389041
p-value0.256748728413411
Lambda1.47796110128263

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.73297852175606 \tabularnewline
beta & -0.477961101282631 \tabularnewline
S.D. & 0.342073360547861 \tabularnewline
T-STAT & -1.39724736389041 \tabularnewline
p-value & 0.256748728413411 \tabularnewline
Lambda & 1.47796110128263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30974&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.73297852175606[/C][/ROW]
[ROW][C]beta[/C][C]-0.477961101282631[/C][/ROW]
[ROW][C]S.D.[/C][C]0.342073360547861[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.39724736389041[/C][/ROW]
[ROW][C]p-value[/C][C]0.256748728413411[/C][/ROW]
[ROW][C]Lambda[/C][C]1.47796110128263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30974&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30974&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)
alpha3.73297852175606
beta-0.477961101282631
S.D.0.342073360547861
T-STAT-1.39724736389041
p-value0.256748728413411
Lambda1.47796110128263


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')