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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 computationSat, 17 Dec 2011 10:34:33 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t13241361180s004cb7dar9c51.htm/, Retrieved Fri, 26 Apr 2024 14:27:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156398, Retrieved Fri, 26 Apr 2024 14:27:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Autocorrelatie] [2011-12-03 15:13:48] [f033824ca1b38a5ddbb2c3414ea3bb75]
- RMPD  [Spectral Analysis] [Spectrum] [2011-12-17 14:36:05] [f033824ca1b38a5ddbb2c3414ea3bb75]
- RMP       [Standard Deviation-Mean Plot] [standard deviatio...] [2011-12-17 15:34:33] [2fa2d22b72a9c62ab85a23406d5dc0a0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383
9706
8579
9474
8318
8213
8059
9111
7708
7680
8014
8007
8718
9486
9113
9025
8476
7952
7759
7835
7600
7651
8319
8812
8630

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' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156398&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156398&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156398&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
18919.91666666667695.5517702885352222
28495.5756.6420433852342622
38606.5981.1020241637372895
48465.58333333333667.7551889908772026
58388.16666666667635.574304837521886

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8919.91666666667 & 695.551770288535 & 2222 \tabularnewline
2 & 8495.5 & 756.642043385234 & 2622 \tabularnewline
3 & 8606.5 & 981.102024163737 & 2895 \tabularnewline
4 & 8465.58333333333 & 667.755188990877 & 2026 \tabularnewline
5 & 8388.16666666667 & 635.57430483752 & 1886 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156398&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]8919.91666666667[/C][C]695.551770288535[/C][C]2222[/C][/ROW]
[ROW][C]2[/C][C]8495.5[/C][C]756.642043385234[/C][C]2622[/C][/ROW]
[ROW][C]3[/C][C]8606.5[/C][C]981.102024163737[/C][C]2895[/C][/ROW]
[ROW][C]4[/C][C]8465.58333333333[/C][C]667.755188990877[/C][C]2026[/C][/ROW]
[ROW][C]5[/C][C]8388.16666666667[/C][C]635.57430483752[/C][C]1886[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156398&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156398&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
18919.91666666667695.5517702885352222
28495.5756.6420433852342622
38606.5981.1020241637372895
48465.58333333333667.7551889908772026
58388.16666666667635.574304837521886






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-161.442275108863
beta0.105977050865142
S.D.0.378175624424751
T-STAT0.280232368298051
p-value0.797512038015854

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -161.442275108863 \tabularnewline
beta & 0.105977050865142 \tabularnewline
S.D. & 0.378175624424751 \tabularnewline
T-STAT & 0.280232368298051 \tabularnewline
p-value & 0.797512038015854 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156398&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-161.442275108863[/C][/ROW]
[ROW][C]beta[/C][C]0.105977050865142[/C][/ROW]
[ROW][C]S.D.[/C][C]0.378175624424751[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.280232368298051[/C][/ROW]
[ROW][C]p-value[/C][C]0.797512038015854[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156398&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156398&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-161.442275108863
beta0.105977050865142
S.D.0.378175624424751
T-STAT0.280232368298051
p-value0.797512038015854






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.3845067017362
beta1.32377820819755
S.D.4.05095975309568
T-STAT0.326781377471337
p-value0.765305123998826
Lambda-0.323778208197552

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.3845067017362 \tabularnewline
beta & 1.32377820819755 \tabularnewline
S.D. & 4.05095975309568 \tabularnewline
T-STAT & 0.326781377471337 \tabularnewline
p-value & 0.765305123998826 \tabularnewline
Lambda & -0.323778208197552 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156398&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.3845067017362[/C][/ROW]
[ROW][C]beta[/C][C]1.32377820819755[/C][/ROW]
[ROW][C]S.D.[/C][C]4.05095975309568[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.326781377471337[/C][/ROW]
[ROW][C]p-value[/C][C]0.765305123998826[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.323778208197552[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156398&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156398&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-5.3845067017362
beta1.32377820819755
S.D.4.05095975309568
T-STAT0.326781377471337
p-value0.765305123998826
Lambda-0.323778208197552


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')