FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 25 May 2008 06:24:34 -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/2008/May/25/t1211718355hqor4e4a8v2naa9.htm/, Retrieved Mon, 20 May 2024 06:24:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13125, Retrieved Mon, 20 May 2024 06:24:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

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] [SD - mean plot pr...] [2008-05-25 12:24:34] [16094f22cd17e7ed684f81a8d68c07fe] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
430,00
433,87
434,55
434,55
434,55
434,55
434,71
434,71
434,71
434,71
434,73
436,34
437,55
439,58
439,65
439,76
439,76
439,76
440,06
440,13
441,18
441,14
441,14
441,19
449,06
456,46
456,79
456,87
457,25
455,93
456,00
456,22
456,22
456,58
457,61
457,61
460,43
460,43
462,18
462,37
462,59
463,19
463,48
464,30
461,41
463,35
463,35
463,35
464,27
472,28
472,36
472,56
472,56
472,56
474,15
474,59
474,97
474,99
474,99
474,99
478,34
485,70
485,75
485,85
485,84
485,85
485,84
486,00
488,79
489,71
489,71
489,71

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13125&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]4 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=13125&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13125&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1434.3316666666671.474996661526786.33999999999997
2440.0751.037255995403253.63999999999999
3456.052.274582878843348.55000000000001
4462.5358333333331.232657574904613.87000000000000
5472.9391666666672.973964169049110.7200000000000
6486.4241666666673.1019303618387311.37

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 434.331666666667 & 1.47499666152678 & 6.33999999999997 \tabularnewline
2 & 440.075 & 1.03725599540325 & 3.63999999999999 \tabularnewline
3 & 456.05 & 2.27458287884334 & 8.55000000000001 \tabularnewline
4 & 462.535833333333 & 1.23265757490461 & 3.87000000000000 \tabularnewline
5 & 472.939166666667 & 2.9739641690491 & 10.7200000000000 \tabularnewline
6 & 486.424166666667 & 3.10193036183873 & 11.37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13125&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]434.331666666667[/C][C]1.47499666152678[/C][C]6.33999999999997[/C][/ROW]
[ROW][C]2[/C][C]440.075[/C][C]1.03725599540325[/C][C]3.63999999999999[/C][/ROW]
[ROW][C]3[/C][C]456.05[/C][C]2.27458287884334[/C][C]8.55000000000001[/C][/ROW]
[ROW][C]4[/C][C]462.535833333333[/C][C]1.23265757490461[/C][C]3.87000000000000[/C][/ROW]
[ROW][C]5[/C][C]472.939166666667[/C][C]2.9739641690491[/C][C]10.7200000000000[/C][/ROW]
[ROW][C]6[/C][C]486.424166666667[/C][C]3.10193036183873[/C][C]11.37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13125&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13125&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
1434.3316666666671.474996661526786.33999999999997
2440.0751.037255995403253.63999999999999
3456.052.274582878843348.55000000000001
4462.5358333333331.232657574904613.87000000000000
5472.9391666666672.973964169049110.7200000000000
6486.4241666666673.1019303618387311.37






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-14.9375547724295
beta0.0369576909512279
S.D.0.0133891716046968
T-STAT2.76026718025360
p-value0.0508356830670446

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -14.9375547724295 \tabularnewline
beta & 0.0369576909512279 \tabularnewline
S.D. & 0.0133891716046968 \tabularnewline
T-STAT & 2.76026718025360 \tabularnewline
p-value & 0.0508356830670446 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13125&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.9375547724295[/C][/ROW]
[ROW][C]beta[/C][C]0.0369576909512279[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0133891716046968[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.76026718025360[/C][/ROW]
[ROW][C]p-value[/C][C]0.0508356830670446[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13125&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13125&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-14.9375547724295
beta0.0369576909512279
S.D.0.0133891716046968
T-STAT2.76026718025360
p-value0.0508356830670446






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-50.5411979498702
beta8.34804559012892
S.D.3.48805609406768
T-STAT2.39332320495845
p-value0.0748970052424273
Lambda-7.34804559012892

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -50.5411979498702 \tabularnewline
beta & 8.34804559012892 \tabularnewline
S.D. & 3.48805609406768 \tabularnewline
T-STAT & 2.39332320495845 \tabularnewline
p-value & 0.0748970052424273 \tabularnewline
Lambda & -7.34804559012892 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13125&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-50.5411979498702[/C][/ROW]
[ROW][C]beta[/C][C]8.34804559012892[/C][/ROW]
[ROW][C]S.D.[/C][C]3.48805609406768[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.39332320495845[/C][/ROW]
[ROW][C]p-value[/C][C]0.0748970052424273[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.34804559012892[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13125&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13125&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-50.5411979498702
beta8.34804559012892
S.D.3.48805609406768
T-STAT2.39332320495845
p-value0.0748970052424273
Lambda-7.34804559012892


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')