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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, 16 Mar 2016 14:10:59 +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/2016/Mar/16/t1458137511pn2wdi1vwjdm5nk.htm/, Retrieved Tue, 07 May 2024 01:25:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294150, Retrieved Tue, 07 May 2024 01:25:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158

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] [Standaard deviati...] [2016-03-16 14:10:59] [8955cd9eab9a69f2891c3fcdee8de955] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101.68
101.25
101.24
101.11
101.08
101.09
101.09
101.62
101.66
101.96
102.04
102.02
102.02
101.51
101.62
101.83
102.06
102.14
102.14
102.59
102.92
103.31
103.54
103.58
103.58
102.83
102.86
103.03
103.2
103.28
103.28
103.79
103.92
104.26
104.41
104.45
99.92
99.18
99.18
99.35
99.62
99.67
99.72
100.08
100.39
100.77
101.03
101.07
101.29
101.1
101.2
101.15
101.24
101.16
100.81
101.02
101.15
101.06
101.17
101.22
101.84
101.79
101.88
101.9
101.91
101.96
101.26
101.06
100.98
101.12
101.24
101.25

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=294150&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=294150&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294150&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
1101.4866666666670.3859659272133960.960000000000008
2102.4383333333330.7342012770021012.06999999999999
3103.5741666666670.5858398529746281.62
499.99833333333330.6784049921199951.88999999999999
5101.1308333333330.1258757203343720.480000000000004
6101.5158333333330.3904416691001310.97999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 101.486666666667 & 0.385965927213396 & 0.960000000000008 \tabularnewline
2 & 102.438333333333 & 0.734201277002101 & 2.06999999999999 \tabularnewline
3 & 103.574166666667 & 0.585839852974628 & 1.62 \tabularnewline
4 & 99.9983333333333 & 0.678404992119995 & 1.88999999999999 \tabularnewline
5 & 101.130833333333 & 0.125875720334372 & 0.480000000000004 \tabularnewline
6 & 101.515833333333 & 0.390441669100131 & 0.97999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294150&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]101.486666666667[/C][C]0.385965927213396[/C][C]0.960000000000008[/C][/ROW]
[ROW][C]2[/C][C]102.438333333333[/C][C]0.734201277002101[/C][C]2.06999999999999[/C][/ROW]
[ROW][C]3[/C][C]103.574166666667[/C][C]0.585839852974628[/C][C]1.62[/C][/ROW]
[ROW][C]4[/C][C]99.9983333333333[/C][C]0.678404992119995[/C][C]1.88999999999999[/C][/ROW]
[ROW][C]5[/C][C]101.130833333333[/C][C]0.125875720334372[/C][C]0.480000000000004[/C][/ROW]
[ROW][C]6[/C][C]101.515833333333[/C][C]0.390441669100131[/C][C]0.97999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294150&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294150&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
1101.4866666666670.3859659272133960.960000000000008
2102.4383333333330.7342012770021012.06999999999999
3103.5741666666670.5858398529746281.62
499.99833333333330.6784049921199951.88999999999999
5101.1308333333330.1258757203343720.480000000000004
6101.5158333333330.3904416691001310.97999999999999






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-3.48027128216594
beta0.0389782586329846
S.D.0.0914727889218609
T-STAT0.426118620547157
p-value0.691951114750488

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3.48027128216594 \tabularnewline
beta & 0.0389782586329846 \tabularnewline
S.D. & 0.0914727889218609 \tabularnewline
T-STAT & 0.426118620547157 \tabularnewline
p-value & 0.691951114750488 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294150&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.48027128216594[/C][/ROW]
[ROW][C]beta[/C][C]0.0389782586329846[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0914727889218609[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.426118620547157[/C][/ROW]
[ROW][C]p-value[/C][C]0.691951114750488[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294150&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294150&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-3.48027128216594
beta0.0389782586329846
S.D.0.0914727889218609
T-STAT0.426118620547157
p-value0.691951114750488






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-60.1406406419289
beta12.8247765397562
S.D.26.5474627430667
T-STAT0.483088597350256
p-value0.654283613787759
Lambda-11.8247765397562

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -60.1406406419289 \tabularnewline
beta & 12.8247765397562 \tabularnewline
S.D. & 26.5474627430667 \tabularnewline
T-STAT & 0.483088597350256 \tabularnewline
p-value & 0.654283613787759 \tabularnewline
Lambda & -11.8247765397562 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294150&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-60.1406406419289[/C][/ROW]
[ROW][C]beta[/C][C]12.8247765397562[/C][/ROW]
[ROW][C]S.D.[/C][C]26.5474627430667[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.483088597350256[/C][/ROW]
[ROW][C]p-value[/C][C]0.654283613787759[/C][/ROW]
[ROW][C]Lambda[/C][C]-11.8247765397562[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294150&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294150&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-60.1406406419289
beta12.8247765397562
S.D.26.5474627430667
T-STAT0.483088597350256
p-value0.654283613787759
Lambda-11.8247765397562


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')