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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 14 Dec 2011 10:20:24 -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/14/t132387615138vlfpt5jx7alpo.htm/, Retrieved Wed, 01 May 2024 13:19:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155050, Retrieved Wed, 01 May 2024 13:19:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact89

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] [Gemiddelde consum...] [2011-12-14 15:20:24] [c0f35385ddfb9717cc41b82f2b64d087] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
49,98
50,12
50,37
50,39
50,34
50,32
50,32
50,32
50,67
50,86
50,95
51,02
51,02
51,06
50,9
51,23
51,29
51,3
51,3
51,3
51,46
51,47
51,77
51,82
51,82
51,84
51,9
51,94
52,22
52,27
52,27
52,28
52,53
52,73
52,72
52,67
52,67
52,65
52,69
52,73
52,84
52,83
52,83
52,84
52,82
53,09
53,4
53,43
53,43
53,42
53,6
53,69
54,05
54,04
54,04
54,08
54,05
54,39
54,38
54,46

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'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155050&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155050&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155050&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'AstonUniversity' @ aston.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
150.47166666666670.3286842456421271.04000000000001
251.32666666666670.2760544522482130.920000000000002
352.26583333333330.3407600684388120.909999999999997
452.90166666666670.2660769995639790.780000000000001
553.96916666666670.3603901505397461.04

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 50.4716666666667 & 0.328684245642127 & 1.04000000000001 \tabularnewline
2 & 51.3266666666667 & 0.276054452248213 & 0.920000000000002 \tabularnewline
3 & 52.2658333333333 & 0.340760068438812 & 0.909999999999997 \tabularnewline
4 & 52.9016666666667 & 0.266076999563979 & 0.780000000000001 \tabularnewline
5 & 53.9691666666667 & 0.360390150539746 & 1.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155050&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]50.4716666666667[/C][C]0.328684245642127[/C][C]1.04000000000001[/C][/ROW]
[ROW][C]2[/C][C]51.3266666666667[/C][C]0.276054452248213[/C][C]0.920000000000002[/C][/ROW]
[ROW][C]3[/C][C]52.2658333333333[/C][C]0.340760068438812[/C][C]0.909999999999997[/C][/ROW]
[ROW][C]4[/C][C]52.9016666666667[/C][C]0.266076999563979[/C][C]0.780000000000001[/C][/ROW]
[ROW][C]5[/C][C]53.9691666666667[/C][C]0.360390150539746[/C][C]1.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155050&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155050&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
150.47166666666670.3286842456421271.04000000000001
251.32666666666670.2760544522482130.920000000000002
352.26583333333330.3407600684388120.909999999999997
452.90166666666670.2660769995639790.780000000000001
553.96916666666670.3603901505397461.04






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.0959426822482923
beta0.00786279850412685
S.D.0.01695851351523
T-STAT0.463649039585072
p-value0.674468039498437

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.0959426822482923 \tabularnewline
beta & 0.00786279850412685 \tabularnewline
S.D. & 0.01695851351523 \tabularnewline
T-STAT & 0.463649039585072 \tabularnewline
p-value & 0.674468039498437 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155050&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.0959426822482923[/C][/ROW]
[ROW][C]beta[/C][C]0.00786279850412685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.01695851351523[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.463649039585072[/C][/ROW]
[ROW][C]p-value[/C][C]0.674468039498437[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155050&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155050&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-0.0959426822482923
beta0.00786279850412685
S.D.0.01695851351523
T-STAT0.463649039585072
p-value0.674468039498437






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.69675999511266
beta1.14616320006112
S.D.2.89435694310647
T-STAT0.395999257379417
p-value0.718588519464648
Lambda-0.146163200061119

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.69675999511266 \tabularnewline
beta & 1.14616320006112 \tabularnewline
S.D. & 2.89435694310647 \tabularnewline
T-STAT & 0.395999257379417 \tabularnewline
p-value & 0.718588519464648 \tabularnewline
Lambda & -0.146163200061119 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155050&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.69675999511266[/C][/ROW]
[ROW][C]beta[/C][C]1.14616320006112[/C][/ROW]
[ROW][C]S.D.[/C][C]2.89435694310647[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.395999257379417[/C][/ROW]
[ROW][C]p-value[/C][C]0.718588519464648[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.146163200061119[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155050&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155050&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-5.69675999511266
beta1.14616320006112
S.D.2.89435694310647
T-STAT0.395999257379417
p-value0.718588519464648
Lambda-0.146163200061119


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')