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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, 27 Dec 2010 09:50:14 +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/27/t129344331863mrmcrsfarjy2i.htm/, Retrieved Mon, 06 May 2024 12:24:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115868, Retrieved Mon, 06 May 2024 12:24:00 +0000
QR Codes:

Original text written by user:Prijsverandering Nederland
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173

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  [Cross Correlation Function] [Q7 - zonder trans...] [2008-12-01 20:04:13] [299afd6311e4c20059ea2f05c8dd029d]
F RM D    [Variance Reduction Matrix] [Q8] [2008-12-01 20:20:44] [299afd6311e4c20059ea2f05c8dd029d]
F    D      [Variance Reduction Matrix] [Q8 - 2] [2008-12-01 20:25:07] [299afd6311e4c20059ea2f05c8dd029d]
F RM D        [Standard Deviation-Mean Plot] [Deel 2: Step 1] [2008-12-08 20:09:35] [299afd6311e4c20059ea2f05c8dd029d]
-    D          [Standard Deviation-Mean Plot] [Totale Uitvoer - SMP] [2008-12-17 15:57:12] [299afd6311e4c20059ea2f05c8dd029d]
- RMPD            [ARIMA Forecasting] [ARIMA Forecasting] [2010-12-24 14:15:31] [9f313cc7203314d73bf17d2b325aee79]
- RMPD                [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-27 09:50:14] [fba9c6aa004af59d8497d682e70ddad5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13,7
13,7
13,7
1,3
1,3
1,3
-7,4
-7,4
-7,4
-12,9
-12,9
-12,9
-9,6
-9,6
-9,6
-11,1
-11,1
-11,1
-8,3
-8,3
-8,3
-2,7
-2,7
-2,7
5,1
5,1
5,1
4,6
4,6
4,6
5,6
5,6
5,6
5,1
5,1
5,1
0,8
0,8
0,8
6
6
6
9,3
9,3
9,3
8,7
8,7
8,7
11
11
11
8,5
8,5
8,5
4,4
4,4
4,4
2,5
2,5
2,5
0,3
0,3
0,3
-3
-3
-3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time24 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 24 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115868&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]24 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=115868&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115868&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 time24 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1-1.32510.490612686847926.6
2-7.9253.316384943113378.4
35.10.3692744729379981
46.23.505579967578968.5
56.63.488422409785108.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & -1.325 & 10.4906126868479 & 26.6 \tabularnewline
2 & -7.925 & 3.31638494311337 & 8.4 \tabularnewline
3 & 5.1 & 0.369274472937998 & 1 \tabularnewline
4 & 6.2 & 3.50557996757896 & 8.5 \tabularnewline
5 & 6.6 & 3.48842240978510 & 8.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115868&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]-1.325[/C][C]10.4906126868479[/C][C]26.6[/C][/ROW]
[ROW][C]2[/C][C]-7.925[/C][C]3.31638494311337[/C][C]8.4[/C][/ROW]
[ROW][C]3[/C][C]5.1[/C][C]0.369274472937998[/C][C]1[/C][/ROW]
[ROW][C]4[/C][C]6.2[/C][C]3.50557996757896[/C][C]8.5[/C][/ROW]
[ROW][C]5[/C][C]6.6[/C][C]3.48842240978510[/C][C]8.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115868&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115868&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
1-1.32510.490612686847926.6
2-7.9253.316384943113378.4
35.10.3692744729379981
46.23.505579967578968.5
56.63.488422409785108.5






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.5651721965986
beta-0.191397283552561
S.D.0.325957063308836
T-STAT-0.587185568582746
p-value0.598345017380842

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.5651721965986 \tabularnewline
beta & -0.191397283552561 \tabularnewline
S.D. & 0.325957063308836 \tabularnewline
T-STAT & -0.587185568582746 \tabularnewline
p-value & 0.598345017380842 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115868&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.5651721965986[/C][/ROW]
[ROW][C]beta[/C][C]-0.191397283552561[/C][/ROW]
[ROW][C]S.D.[/C][C]0.325957063308836[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.587185568582746[/C][/ROW]
[ROW][C]p-value[/C][C]0.598345017380842[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115868&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115868&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)
alpha4.5651721965986
beta-0.191397283552561
S.D.0.325957063308836
T-STAT-0.587185568582746
p-value0.598345017380842






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-16.2004015598474
beta9.38215943615067
S.D.2.26085157400693
T-STAT4.14983431199889
p-value0.150538444103137
Lambda-8.38215943615067

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -16.2004015598474 \tabularnewline
beta & 9.38215943615067 \tabularnewline
S.D. & 2.26085157400693 \tabularnewline
T-STAT & 4.14983431199889 \tabularnewline
p-value & 0.150538444103137 \tabularnewline
Lambda & -8.38215943615067 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115868&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-16.2004015598474[/C][/ROW]
[ROW][C]beta[/C][C]9.38215943615067[/C][/ROW]
[ROW][C]S.D.[/C][C]2.26085157400693[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.14983431199889[/C][/ROW]
[ROW][C]p-value[/C][C]0.150538444103137[/C][/ROW]
[ROW][C]Lambda[/C][C]-8.38215943615067[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115868&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115868&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-16.2004015598474
beta9.38215943615067
S.D.2.26085157400693
T-STAT4.14983431199889
p-value0.150538444103137
Lambda-8.38215943615067


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')