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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, 04 Jun 2009 10:22:10 -0600
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/Jun/04/t1244132576qcnwn0au4etqynr.htm/, Retrieved Tue, 14 May 2024 23:28:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41718, Retrieved Tue, 14 May 2024 23:28:18 +0000
QR Codes:

Original text written by user:Wesley De Bondt
IsPrivate?No (this computation is public)
User-defined keywordsWesley De Bondt
Estimated Impact110

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] [Koers € t.o.v. £] [2009-06-04 16:22:10] [52abb83916effba29fe89a1e0cad1e5e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.63709
0.64218
0.65711
0.66977
0.68255
0.68902
0.71322
0.70224
0.70045
0.69919
0.69693
0.69763
0.69278
0.70196
0.69215
0.6769
0.67124
0.66533
0.67157
0.66428
0.66576
0.66942
0.68130
0.69144
0.69862
0.695
0.69867
0.68968
0.69233
0.68293
0.68399
0.66895
0.68756
0.68527
0.6776
0.68137
0.67933
0.67922
0.68598
0.68297
0.68935
0.69463
0.6833
0.68666
0.68782
0.67669
0.67511
0.67254
0.67397
0.67286
0.66341
0.668
0.68021
0.67934
0.68136
0.67562
0.6744
0.67766
0.68887
0.69614
0.70896
0.72064
0.74725
0.75094
0.77494
0.79487
0.79209
0.79152
0.79308
0.79279
0.79924
0.78668

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41718&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]0 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=41718&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41718&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.6822816666666670.02505938903460890.07613
20.67867750.01293066062082330.0376800000000000
30.6868308333333330.008765905500427440.02972
40.68280.006466246628032790.0220899999999999
50.6776533333333330.008728283527322710.0327299999999999
60.7710833333333330.03134605015956650.090280

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.682281666666667 & 0.0250593890346089 & 0.07613 \tabularnewline
2 & 0.6786775 & 0.0129306606208233 & 0.0376800000000000 \tabularnewline
3 & 0.686830833333333 & 0.00876590550042744 & 0.02972 \tabularnewline
4 & 0.6828 & 0.00646624662803279 & 0.0220899999999999 \tabularnewline
5 & 0.677653333333333 & 0.00872828352732271 & 0.0327299999999999 \tabularnewline
6 & 0.771083333333333 & 0.0313460501595665 & 0.090280 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41718&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]0.682281666666667[/C][C]0.0250593890346089[/C][C]0.07613[/C][/ROW]
[ROW][C]2[/C][C]0.6786775[/C][C]0.0129306606208233[/C][C]0.0376800000000000[/C][/ROW]
[ROW][C]3[/C][C]0.686830833333333[/C][C]0.00876590550042744[/C][C]0.02972[/C][/ROW]
[ROW][C]4[/C][C]0.6828[/C][C]0.00646624662803279[/C][C]0.0220899999999999[/C][/ROW]
[ROW][C]5[/C][C]0.677653333333333[/C][C]0.00872828352732271[/C][C]0.0327299999999999[/C][/ROW]
[ROW][C]6[/C][C]0.771083333333333[/C][C]0.0313460501595665[/C][C]0.090280[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41718&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41718&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
10.6822816666666670.02505938903460890.07613
20.67867750.01293066062082330.0376800000000000
30.6868308333333330.008765905500427440.02972
40.68280.006466246628032790.0220899999999999
50.6776533333333330.008728283527322710.0327299999999999
60.7710833333333330.03134605015956650.090280






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.130442160053958
beta0.209591057521514
S.D.0.0918498471052975
T-STAT2.28188793043103
p-value0.0846102027578048

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.130442160053958 \tabularnewline
beta & 0.209591057521514 \tabularnewline
S.D. & 0.0918498471052975 \tabularnewline
T-STAT & 2.28188793043103 \tabularnewline
p-value & 0.0846102027578048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41718&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.130442160053958[/C][/ROW]
[ROW][C]beta[/C][C]0.209591057521514[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0918498471052975[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.28188793043103[/C][/ROW]
[ROW][C]p-value[/C][C]0.0846102027578048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41718&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41718&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-0.130442160053958
beta0.209591057521514
S.D.0.0918498471052975
T-STAT2.28188793043103
p-value0.0846102027578048






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.31444557814293
beta8.33090385922376
S.D.4.67961442945383
T-STAT1.78025433180744
p-value0.149639920401269
Lambda-7.33090385922376

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.31444557814293 \tabularnewline
beta & 8.33090385922376 \tabularnewline
S.D. & 4.67961442945383 \tabularnewline
T-STAT & 1.78025433180744 \tabularnewline
p-value & 0.149639920401269 \tabularnewline
Lambda & -7.33090385922376 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41718&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.31444557814293[/C][/ROW]
[ROW][C]beta[/C][C]8.33090385922376[/C][/ROW]
[ROW][C]S.D.[/C][C]4.67961442945383[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.78025433180744[/C][/ROW]
[ROW][C]p-value[/C][C]0.149639920401269[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.33090385922376[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41718&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41718&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-1.31444557814293
beta8.33090385922376
S.D.4.67961442945383
T-STAT1.78025433180744
p-value0.149639920401269
Lambda-7.33090385922376


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')