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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 computationThu, 26 Apr 2012 16:41:37 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/26/t13354729272v9lz71me471shd.htm/, Retrieved Mon, 29 Apr 2024 04:36:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164950, Retrieved Mon, 29 Apr 2024 04:36:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

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] [Prijsindex citytr...] [2012-04-26 20:41:37] [c7c61aaff161b25e5153c41aabf1c02e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
98.01
99.2
100.7
106.41
107.51
107.1
99.75
98.96
107.26
107.11
107.2
107.65
104.78
105.56
107.95
107.11
107.47
107.06
99.71
99.6
107.19
107.26
113.24
113.52
110.48
111.41
115.5
118.32
118.42
117.5
110.23
109.19
118.41
118.3
116.1
114.11
113.41
114.33
116.61
123.64
123.77
123.39
116.03
114.95
123.4
123.53
114.45
114.26
114.35
112.77
115.31
114.93
116.38
115.07
105
103.43
114.52
115.04
117.16
115

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=164950&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=164950&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164950&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
1103.9054.098406563975379.64
2106.7041666666674.2270416440586513.92
3114.8308333333333.608362656469849.23
4118.4808333333334.5463640983924210.36
5113.2466666666674.3617976555405213.73

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 103.905 & 4.09840656397537 & 9.64 \tabularnewline
2 & 106.704166666667 & 4.22704164405865 & 13.92 \tabularnewline
3 & 114.830833333333 & 3.60836265646984 & 9.23 \tabularnewline
4 & 118.480833333333 & 4.54636409839242 & 10.36 \tabularnewline
5 & 113.246666666667 & 4.36179765554052 & 13.73 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164950&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]103.905[/C][C]4.09840656397537[/C][C]9.64[/C][/ROW]
[ROW][C]2[/C][C]106.704166666667[/C][C]4.22704164405865[/C][C]13.92[/C][/ROW]
[ROW][C]3[/C][C]114.830833333333[/C][C]3.60836265646984[/C][C]9.23[/C][/ROW]
[ROW][C]4[/C][C]118.480833333333[/C][C]4.54636409839242[/C][C]10.36[/C][/ROW]
[ROW][C]5[/C][C]113.246666666667[/C][C]4.36179765554052[/C][C]13.73[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164950&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164950&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
1103.9054.098406563975379.64
2106.7041666666674.2270416440586513.92
3114.8308333333333.608362656469849.23
4118.4808333333334.5463640983924210.36
5113.2466666666674.3617976555405213.73






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.11159725484832
beta0.00948365858416936
S.D.0.0337096826229514
T-STAT0.281333369116693
p-value0.796743605639568

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.11159725484832 \tabularnewline
beta & 0.00948365858416936 \tabularnewline
S.D. & 0.0337096826229514 \tabularnewline
T-STAT & 0.281333369116693 \tabularnewline
p-value & 0.796743605639568 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164950&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.11159725484832[/C][/ROW]
[ROW][C]beta[/C][C]0.00948365858416936[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0337096826229514[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.281333369116693[/C][/ROW]
[ROW][C]p-value[/C][C]0.796743605639568[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164950&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164950&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)
alpha3.11159725484832
beta0.00948365858416936
S.D.0.0337096826229514
T-STAT0.281333369116693
p-value0.796743605639568






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.504347422803681
beta0.195270483384964
S.D.0.930992619806431
T-STAT0.20974439456412
p-value0.847303515685786
Lambda0.804729516615036

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.504347422803681 \tabularnewline
beta & 0.195270483384964 \tabularnewline
S.D. & 0.930992619806431 \tabularnewline
T-STAT & 0.20974439456412 \tabularnewline
p-value & 0.847303515685786 \tabularnewline
Lambda & 0.804729516615036 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164950&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.504347422803681[/C][/ROW]
[ROW][C]beta[/C][C]0.195270483384964[/C][/ROW]
[ROW][C]S.D.[/C][C]0.930992619806431[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.20974439456412[/C][/ROW]
[ROW][C]p-value[/C][C]0.847303515685786[/C][/ROW]
[ROW][C]Lambda[/C][C]0.804729516615036[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164950&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164950&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)
alpha0.504347422803681
beta0.195270483384964
S.D.0.930992619806431
T-STAT0.20974439456412
p-value0.847303515685786
Lambda0.804729516615036


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')