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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 computationTue, 28 Dec 2010 14:14:27 +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/28/t1293545549ngprmap707cj1ki.htm/, Retrieved Sat, 04 May 2024 23:44:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116372, Retrieved Sat, 04 May 2024 23:44:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD    [Standard Deviation-Mean Plot] [Workshop 6 'Aanta...] [2010-12-14 18:17:59] [40c8b935cbad1b0be3c22a481f9723f7]
- R P       [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-17 15:30:42] [75b8170d590d2aca2c97c1862bb2167f]
-   PD        [Standard Deviation-Mean Plot] [box-cox] [2010-12-26 11:59:00] [c895532cb7349383dee5125244983cc8]
-   P             [Standard Deviation-Mean Plot] [berekening 14] [2010-12-28 14:14:27] [87bb5e10c18d96bd329dff2d857096c8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10
10
10
10
10
9,94
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
10,06
9,94
9,94
9,94
9,94
9,94
9,94
10,06
10,06
9,94
10,06
10,06
10,06
10,18
10,28
10,28
10,18
10,28
10,28
10,28
10,18
10,28
10,28
10,18
10,18
10,18
10,28
10,28
10,18
10,18
10,18
10,18
10,18
10,18
10,28
10,28
10,28
10,18
10,18
10,18
10,28
10,18
10,18
10,28
10,18
10,18
10,18
10,28
10,28
10,28
10,28
10,28
10,28
10,18
10,18
10,18
10,18
10,18
10,18
10,18
10,18
10,18
10,28
10,28
10,28
10,28
10,28
10,28
10,28
10,28
10,18
10,28
10,28
10,28
10,28
10,18
10,28
10,28
10,28
10,18
10,18
10,28
10,28
10,28
10,28
10,28
10,28
10,28
10,18
10,28
10,28
10,28
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,34
10,34
10,34
10,42
10,42
10,42
10,42
10,34
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,34
10,34
10,34
10,34
10,42
10,42
10,34
10,34
10,34
10,42
10,42
10,42
10,34
10,34
10,34
10,34
10,34
10,42
10,42
10,42
10,34
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,34
10,34
10,34
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,42
10,34
10,34
10,42
10,42
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,49
10,49
10,55
10,55
10,55
10,55
10,55
10,55
10,49
10,55
10,55
10,55
10,55
10,55
10,55
10,49
10,49
10,55
10,55
10,55
10,49
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,55
10,49
10,49
10,49
10,55
10,55
10,55
10,49
10,55
10,55
10,55
10,63
10,63
10,63
10,63
10,63
10,57
10,63
10,63
10,63
10,63
10,57
10,57
10,57
10,63
10,63
10,63
10,63
10,57
10,63
10,63
10,57
10,63
10,63
10,63
10,63
10,57
10,63
10,6
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,6
10,6
10,6
10,6
10,7
10,7
10,6
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,7
10,8
10,8
10,8
10,8
10,7
10,7
10,7
10,85
10,75
10,75
10,75
10,75
10,75
10,75
10,75
10,75
10,75
10,75
10,75
10,85
10,85
10,85
10,85
10,85
10,85
10,85
10,85
10,85
10,85
10,75
10,75
10,85
10,85
10,85
10,85
10,75
10,75
10,75
10,75
10,75

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=116372&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=116372&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116372&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
110.0180.05261440736213810.120000000000001
210.21533333333330.06468668963621430.219999999999999
310.230.05085476277156060.0999999999999996
410.30866666666670.08131392268848260.24
510.39866666666670.03598211560870430.08
610.3960.03728732797595200.08
710.44566666666670.07527802872814520.210000000000001
810.5380.02441028613034940.0600000000000005
910.58266666666670.05051004224722160.140000000000001
1010.65733333333330.04863185654757930.129999999999999
1110.74166666666670.04564354645876420.150000000000000

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10.018 & 0.0526144073621381 & 0.120000000000001 \tabularnewline
2 & 10.2153333333333 & 0.0646866896362143 & 0.219999999999999 \tabularnewline
3 & 10.23 & 0.0508547627715606 & 0.0999999999999996 \tabularnewline
4 & 10.3086666666667 & 0.0813139226884826 & 0.24 \tabularnewline
5 & 10.3986666666667 & 0.0359821156087043 & 0.08 \tabularnewline
6 & 10.396 & 0.0372873279759520 & 0.08 \tabularnewline
7 & 10.4456666666667 & 0.0752780287281452 & 0.210000000000001 \tabularnewline
8 & 10.538 & 0.0244102861303494 & 0.0600000000000005 \tabularnewline
9 & 10.5826666666667 & 0.0505100422472216 & 0.140000000000001 \tabularnewline
10 & 10.6573333333333 & 0.0486318565475793 & 0.129999999999999 \tabularnewline
11 & 10.7416666666667 & 0.0456435464587642 & 0.150000000000000 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116372&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]10.018[/C][C]0.0526144073621381[/C][C]0.120000000000001[/C][/ROW]
[ROW][C]2[/C][C]10.2153333333333[/C][C]0.0646866896362143[/C][C]0.219999999999999[/C][/ROW]
[ROW][C]3[/C][C]10.23[/C][C]0.0508547627715606[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]4[/C][C]10.3086666666667[/C][C]0.0813139226884826[/C][C]0.24[/C][/ROW]
[ROW][C]5[/C][C]10.3986666666667[/C][C]0.0359821156087043[/C][C]0.08[/C][/ROW]
[ROW][C]6[/C][C]10.396[/C][C]0.0372873279759520[/C][C]0.08[/C][/ROW]
[ROW][C]7[/C][C]10.4456666666667[/C][C]0.0752780287281452[/C][C]0.210000000000001[/C][/ROW]
[ROW][C]8[/C][C]10.538[/C][C]0.0244102861303494[/C][C]0.0600000000000005[/C][/ROW]
[ROW][C]9[/C][C]10.5826666666667[/C][C]0.0505100422472216[/C][C]0.140000000000001[/C][/ROW]
[ROW][C]10[/C][C]10.6573333333333[/C][C]0.0486318565475793[/C][C]0.129999999999999[/C][/ROW]
[ROW][C]11[/C][C]10.7416666666667[/C][C]0.0456435464587642[/C][C]0.150000000000000[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116372&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116372&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
110.0180.05261440736213810.120000000000001
210.21533333333330.06468668963621430.219999999999999
310.230.05085476277156060.0999999999999996
410.30866666666670.08131392268848260.24
510.39866666666670.03598211560870430.08
610.3960.03728732797595200.08
710.44566666666670.07527802872814520.210000000000001
810.5380.02441028613034940.0600000000000005
910.58266666666670.05051004224722160.140000000000001
1010.65733333333330.04863185654757930.129999999999999
1110.74166666666670.04564354645876420.150000000000000






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.303792801498240
beta-0.0242247392023673
S.D.0.0251710762157961
T-STAT-0.962403792141597
p-value0.360989897447143

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.303792801498240 \tabularnewline
beta & -0.0242247392023673 \tabularnewline
S.D. & 0.0251710762157961 \tabularnewline
T-STAT & -0.962403792141597 \tabularnewline
p-value & 0.360989897447143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116372&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.303792801498240[/C][/ROW]
[ROW][C]beta[/C][C]-0.0242247392023673[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0251710762157961[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.962403792141597[/C][/ROW]
[ROW][C]p-value[/C][C]0.360989897447143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116372&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116372&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)
alpha0.303792801498240
beta-0.0242247392023673
S.D.0.0251710762157961
T-STAT-0.962403792141597
p-value0.360989897447143






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha9.15897118085317
beta-5.19699732974244
S.D.5.32735940919589
T-STAT-0.975529700656497
p-value0.354787604422716
Lambda6.19699732974244

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 9.15897118085317 \tabularnewline
beta & -5.19699732974244 \tabularnewline
S.D. & 5.32735940919589 \tabularnewline
T-STAT & -0.975529700656497 \tabularnewline
p-value & 0.354787604422716 \tabularnewline
Lambda & 6.19699732974244 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116372&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]9.15897118085317[/C][/ROW]
[ROW][C]beta[/C][C]-5.19699732974244[/C][/ROW]
[ROW][C]S.D.[/C][C]5.32735940919589[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.975529700656497[/C][/ROW]
[ROW][C]p-value[/C][C]0.354787604422716[/C][/ROW]
[ROW][C]Lambda[/C][C]6.19699732974244[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116372&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116372&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)
alpha9.15897118085317
beta-5.19699732974244
S.D.5.32735940919589
T-STAT-0.975529700656497
p-value0.354787604422716
Lambda6.19699732974244


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 12 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):
par1 <- 30
(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')