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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 computationSun, 07 Dec 2008 09:09:21 -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/2008/Dec/07/t1228666235ez9amw4lhy4tl75.htm/, Retrieved Fri, 17 May 2024 02:02:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30132, Retrieved Fri, 17 May 2024 02:02:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159

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] [paper: standard d...] [2008-12-07 16:09:21] [0831954c833179c36e9320daee0825b5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15107
15024
12083
15761
16943
15070
13660
14769
14725
15998
15371
14957
15470
15102
11704
16284
16727
14969
14861
14583
15306
17904
16379
15420
17871
15913
13867
17823
17872
17422
16705
15991
16584
19124
17839
17209
18587
16258
15142
19202
17747
19090
18040
17516
17752
21073
17170
19440
19795
17575
16165
19465
19932
19961
17343
18924
18574
21351
18595
19823
20844
19640
17735
19814
22239
20682
17819
21872
22117
21866

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30132&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30132&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30132&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
114955.66666666671202.900988393804860
215392.41666666671497.794709706326200
317018.33333333331345.186795635285257
418084.751556.838528732335931
518958.58333333331413.863723556095186

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14955.6666666667 & 1202.90098839380 & 4860 \tabularnewline
2 & 15392.4166666667 & 1497.79470970632 & 6200 \tabularnewline
3 & 17018.3333333333 & 1345.18679563528 & 5257 \tabularnewline
4 & 18084.75 & 1556.83852873233 & 5931 \tabularnewline
5 & 18958.5833333333 & 1413.86372355609 & 5186 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30132&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]14955.6666666667[/C][C]1202.90098839380[/C][C]4860[/C][/ROW]
[ROW][C]2[/C][C]15392.4166666667[/C][C]1497.79470970632[/C][C]6200[/C][/ROW]
[ROW][C]3[/C][C]17018.3333333333[/C][C]1345.18679563528[/C][C]5257[/C][/ROW]
[ROW][C]4[/C][C]18084.75[/C][C]1556.83852873233[/C][C]5931[/C][/ROW]
[ROW][C]5[/C][C]18958.5833333333[/C][C]1413.86372355609[/C][C]5186[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30132&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30132&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
114955.66666666671202.900988393804860
215392.41666666671497.794709706326200
317018.33333333331345.186795635285257
418084.751556.838528732335931
518958.58333333331413.863723556095186






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha763.110377008925
beta0.0379225487692973
S.D.0.0410961701515716
T-STAT0.92277573869854
p-value0.424182047894326

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 763.110377008925 \tabularnewline
beta & 0.0379225487692973 \tabularnewline
S.D. & 0.0410961701515716 \tabularnewline
T-STAT & 0.92277573869854 \tabularnewline
p-value & 0.424182047894326 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30132&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]763.110377008925[/C][/ROW]
[ROW][C]beta[/C][C]0.0379225487692973[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0410961701515716[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.92277573869854[/C][/ROW]
[ROW][C]p-value[/C][C]0.424182047894326[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30132&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30132&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)
alpha763.110377008925
beta0.0379225487692973
S.D.0.0410961701515716
T-STAT0.92277573869854
p-value0.424182047894326






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.48343685525272
beta0.48912953836662
S.D.0.496740568269903
T-STAT0.984678058549172
p-value0.397386449881716
Lambda0.51087046163338

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.48343685525272 \tabularnewline
beta & 0.48912953836662 \tabularnewline
S.D. & 0.496740568269903 \tabularnewline
T-STAT & 0.984678058549172 \tabularnewline
p-value & 0.397386449881716 \tabularnewline
Lambda & 0.51087046163338 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30132&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.48343685525272[/C][/ROW]
[ROW][C]beta[/C][C]0.48912953836662[/C][/ROW]
[ROW][C]S.D.[/C][C]0.496740568269903[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.984678058549172[/C][/ROW]
[ROW][C]p-value[/C][C]0.397386449881716[/C][/ROW]
[ROW][C]Lambda[/C][C]0.51087046163338[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30132&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30132&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)
alpha2.48343685525272
beta0.48912953836662
S.D.0.496740568269903
T-STAT0.984678058549172
p-value0.397386449881716
Lambda0.51087046163338


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')