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Description of Statistical Computation

Author's title

Standard Deviation Mean Plot (Industriële productie cokes, geraff. aardolie...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 29 Nov 2007 03:07:48 -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/29/t1196330295klkl7upsh0j12ys.htm/, Retrieved Fri, 03 May 2024 11:38:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7352, Retrieved Fri, 03 May 2024 11:38:15 +0000
QR Codes:

Original text written by user:Inducing Stationary in Time Series
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact241

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] [Standard Deviatio...] [2007-11-29 10:07:48] [0eafefa7b02d47065fceb6c46f54fbf9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
103,9
104,5
106,3
108,6
110,0
110,4
109,8
108,8
108,9
109,7
110,4
111,5
112,7
113,8
113,9
113,4
113,8
114,1
113,5
113,9
116,1
118,4
120,5
122,0
121,4
120,5
120,8
110,4
109,3
108,9
110,0
112,3
114,5
114,8
113,3
112,2
112,8
113,8
114,2
114,7
115,2
115,0
114,9
114,4
113,8
114,5
116,0
116,7
116,4
116,0
115,9
115,4
115,2
115,8

Tables (Output of Computation)





Summary of compuational 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 compuational 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=7352&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]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=7352&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7352&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1108.5666666666672.408444738956257.6
2115.5083333333333.0914716511229717.5
3114.0333333333334.5507908070682615.1
4114.6666666666671.029857301088888.10000000000001

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 108.566666666667 & 2.40844473895625 & 7.6 \tabularnewline
2 & 115.508333333333 & 3.09147165112297 & 17.5 \tabularnewline
3 & 114.033333333333 & 4.55079080706826 & 15.1 \tabularnewline
4 & 114.666666666667 & 1.02985730108888 & 8.10000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7352&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]108.566666666667[/C][C]2.40844473895625[/C][C]7.6[/C][/ROW]
[ROW][C]2[/C][C]115.508333333333[/C][C]3.09147165112297[/C][C]17.5[/C][/ROW]
[ROW][C]3[/C][C]114.033333333333[/C][C]4.55079080706826[/C][C]15.1[/C][/ROW]
[ROW][C]4[/C][C]114.666666666667[/C][C]1.02985730108888[/C][C]8.10000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7352&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7352&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
1108.5666666666672.408444738956257.6
2115.5083333333333.0914716511229717.5
3114.0333333333334.5507908070682615.1
4114.6666666666671.029857301088888.10000000000001






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.38156629221979
beta0.0455122956592469
S.D.0.327847239204594
T-STAT0.138821652943202
p-value0.902307807037647

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2.38156629221979 \tabularnewline
beta & 0.0455122956592469 \tabularnewline
S.D. & 0.327847239204594 \tabularnewline
T-STAT & 0.138821652943202 \tabularnewline
p-value & 0.902307807037647 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7352&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.38156629221979[/C][/ROW]
[ROW][C]beta[/C][C]0.0455122956592469[/C][/ROW]
[ROW][C]S.D.[/C][C]0.327847239204594[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.138821652943202[/C][/ROW]
[ROW][C]p-value[/C][C]0.902307807037647[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7352&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7352&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-2.38156629221979
beta0.0455122956592469
S.D.0.327847239204594
T-STAT0.138821652943202
p-value0.902307807037647






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.3127647565513
beta-0.512746115702734
S.D.15.8213643015616
T-STAT-0.0324084640192581
p-value0.97708977023705
Lambda1.51274611570273

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.3127647565513 \tabularnewline
beta & -0.512746115702734 \tabularnewline
S.D. & 15.8213643015616 \tabularnewline
T-STAT & -0.0324084640192581 \tabularnewline
p-value & 0.97708977023705 \tabularnewline
Lambda & 1.51274611570273 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7352&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.3127647565513[/C][/ROW]
[ROW][C]beta[/C][C]-0.512746115702734[/C][/ROW]
[ROW][C]S.D.[/C][C]15.8213643015616[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.0324084640192581[/C][/ROW]
[ROW][C]p-value[/C][C]0.97708977023705[/C][/ROW]
[ROW][C]Lambda[/C][C]1.51274611570273[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7352&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7352&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)
alpha3.3127647565513
beta-0.512746115702734
S.D.15.8213643015616
T-STAT-0.0324084640192581
p-value0.97708977023705
Lambda1.51274611570273


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')