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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, 19 Dec 2009 05:09:20 -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/2009/Dec/19/t12612247794o7x4x0e0uqn0ow.htm/, Retrieved Fri, 03 May 2024 15:43:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69542, Retrieved Fri, 03 May 2024 15:43:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSMP analyse inflatie
Estimated Impact13

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] [SMP analyse inflatie] [2009-12-19 12:09:20] [8b8f95c5f2993a04d1b74eff1a82c018] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,5
7,2
7
6,9
7
6,9
6,9
6,9
6,8
7
6,8
6,8
6,7
6,4
6,2
6,1
6,2
6,5
6,6
6,5
6,2
6,2
6,6
7,1
7,3
7,4
7,4
7,4
7,4
7,3
7,3
7,4
7,6
7,6
7,6
7,6
7,8
7,9
8,1
8,2
8,2
8,1
8,1
8,1
8,1
8,1
8,2
8,3
8,4
8,5
8,6
8,5
8,3
7,8
7,8
8
8,6
8,9
8,9
8,3
8,3
8,3
8,4
8,5
8,4
8,6
8,5
8,5
8,4
8,5
8,5
8,5
8,5
8,5
8,5
8,5
8,5
8,6
8,4
8,1
8
8
8
8
7,9
7,8
7,8
7,9
8,1
8
7,6
7,3
7
6,8
7
7,1
7,2
7,1
6,9
6,7
6,7
6,6
6,9
7,3
7,4
7,3
7
6,9
7,1
7,5
7,7
7,9
7,8
7,7
7,8
7,8
7,9
8
8,1

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69542&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69542&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69542&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
16.9750.2005673770264560.7
26.441666666666670.2874917653629671
37.441666666666670.1240112409372140.3
48.10.1348399724926480.500000000000001
58.383333333333330.3688639397672351.1
68.450.09045340337332880.299999999999999
78.30.2522624895547560.6
87.5250.4575130400526111.3
970.2628514962691080.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6.975 & 0.200567377026456 & 0.7 \tabularnewline
2 & 6.44166666666667 & 0.287491765362967 & 1 \tabularnewline
3 & 7.44166666666667 & 0.124011240937214 & 0.3 \tabularnewline
4 & 8.1 & 0.134839972492648 & 0.500000000000001 \tabularnewline
5 & 8.38333333333333 & 0.368863939767235 & 1.1 \tabularnewline
6 & 8.45 & 0.0904534033733288 & 0.299999999999999 \tabularnewline
7 & 8.3 & 0.252262489554756 & 0.6 \tabularnewline
8 & 7.525 & 0.457513040052611 & 1.3 \tabularnewline
9 & 7 & 0.262851496269108 & 0.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69542&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]6.975[/C][C]0.200567377026456[/C][C]0.7[/C][/ROW]
[ROW][C]2[/C][C]6.44166666666667[/C][C]0.287491765362967[/C][C]1[/C][/ROW]
[ROW][C]3[/C][C]7.44166666666667[/C][C]0.124011240937214[/C][C]0.3[/C][/ROW]
[ROW][C]4[/C][C]8.1[/C][C]0.134839972492648[/C][C]0.500000000000001[/C][/ROW]
[ROW][C]5[/C][C]8.38333333333333[/C][C]0.368863939767235[/C][C]1.1[/C][/ROW]
[ROW][C]6[/C][C]8.45[/C][C]0.0904534033733288[/C][C]0.299999999999999[/C][/ROW]
[ROW][C]7[/C][C]8.3[/C][C]0.252262489554756[/C][C]0.6[/C][/ROW]
[ROW][C]8[/C][C]7.525[/C][C]0.457513040052611[/C][C]1.3[/C][/ROW]
[ROW][C]9[/C][C]7[/C][C]0.262851496269108[/C][C]0.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69542&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69542&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
16.9750.2005673770264560.7
26.441666666666670.2874917653629671
37.441666666666670.1240112409372140.3
48.10.1348399724926480.500000000000001
58.383333333333330.3688639397672351.1
68.450.09045340337332880.299999999999999
78.30.2522624895547560.6
87.5250.4575130400526111.3
970.2628514962691080.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.446872599193045
beta-0.0268593442006472
S.D.0.0618242356469018
T-STAT-0.434446846282898
p-value0.677041314693373

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.446872599193045 \tabularnewline
beta & -0.0268593442006472 \tabularnewline
S.D. & 0.0618242356469018 \tabularnewline
T-STAT & -0.434446846282898 \tabularnewline
p-value & 0.677041314693373 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69542&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.446872599193045[/C][/ROW]
[ROW][C]beta[/C][C]-0.0268593442006472[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0618242356469018[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.434446846282898[/C][/ROW]
[ROW][C]p-value[/C][C]0.677041314693373[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69542&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69542&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)
alpha0.446872599193045
beta-0.0268593442006472
S.D.0.0618242356469018
T-STAT-0.434446846282898
p-value0.677041314693373






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.42070132197696
beta-1.45937744130815
S.D.2.01736810687214
T-STAT-0.723406618919374
p-value0.492888880343418
Lambda2.45937744130815

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.42070132197696 \tabularnewline
beta & -1.45937744130815 \tabularnewline
S.D. & 2.01736810687214 \tabularnewline
T-STAT & -0.723406618919374 \tabularnewline
p-value & 0.492888880343418 \tabularnewline
Lambda & 2.45937744130815 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69542&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.42070132197696[/C][/ROW]
[ROW][C]beta[/C][C]-1.45937744130815[/C][/ROW]
[ROW][C]S.D.[/C][C]2.01736810687214[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.723406618919374[/C][/ROW]
[ROW][C]p-value[/C][C]0.492888880343418[/C][/ROW]
[ROW][C]Lambda[/C][C]2.45937744130815[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69542&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69542&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)
alpha1.42070132197696
beta-1.45937744130815
S.D.2.01736810687214
T-STAT-0.723406618919374
p-value0.492888880343418
Lambda2.45937744130815


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')