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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 computationFri, 27 Nov 2009 07:42:04 -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/2009/Nov/27/t12593329808dh1k2sbkiue2kd.htm/, Retrieved Mon, 29 Apr 2024 21:45:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60839, Retrieved Mon, 29 Apr 2024 21:45:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Standard Deviation-Mean Plot] [Identifying Integ...] [2009-11-22 12:50:05] [b98453cac15ba1066b407e146608df68]
- R  D          [Standard Deviation-Mean Plot] [] [2009-11-27 14:42:04] [21edaefb91319406e70b6c03c71b58b3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3703
3478
3481
4040
4462
4738
3954
4221
4687
4824
3900
3826
3576
3070
3503
3592
4249
4824
4309
4006
4657
4945
4338
4112
3743
3520
4091
4393
4426
4575
3928
4139
4452
4508
4034
4005
3702
3871
3694
4038
4776
4562
4003
3816
4381
4488
3914
3582

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=60839&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=60839&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60839&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
14109.5475.5892995202711346
24098.41666666667574.4463671987831875
34151.16666666667328.2346259872191055
44068.91666666667388.5685755163271194

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4109.5 & 475.589299520271 & 1346 \tabularnewline
2 & 4098.41666666667 & 574.446367198783 & 1875 \tabularnewline
3 & 4151.16666666667 & 328.234625987219 & 1055 \tabularnewline
4 & 4068.91666666667 & 388.568575516327 & 1194 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60839&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]4109.5[/C][C]475.589299520271[/C][C]1346[/C][/ROW]
[ROW][C]2[/C][C]4098.41666666667[/C][C]574.446367198783[/C][C]1875[/C][/ROW]
[ROW][C]3[/C][C]4151.16666666667[/C][C]328.234625987219[/C][C]1055[/C][/ROW]
[ROW][C]4[/C][C]4068.91666666667[/C][C]388.568575516327[/C][C]1194[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60839&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60839&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
14109.5475.5892995202711346
24098.41666666667574.4463671987831875
34151.16666666667328.2346259872191055
44068.91666666667388.5685755163271194






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5211.41866191707
beta-1.16136083390831
S.D.2.06796346073112
T-STAT-0.561596399531021
p-value0.630927072415848

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5211.41866191707 \tabularnewline
beta & -1.16136083390831 \tabularnewline
S.D. & 2.06796346073112 \tabularnewline
T-STAT & -0.561596399531021 \tabularnewline
p-value & 0.630927072415848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60839&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5211.41866191707[/C][/ROW]
[ROW][C]beta[/C][C]-1.16136083390831[/C][/ROW]
[ROW][C]S.D.[/C][C]2.06796346073112[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.561596399531021[/C][/ROW]
[ROW][C]p-value[/C][C]0.630927072415848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60839&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60839&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)
alpha5211.41866191707
beta-1.16136083390831
S.D.2.06796346073112
T-STAT-0.561596399531021
p-value0.630927072415848






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha106.621803589403
beta-12.0851153211200
S.D.18.8952501322368
T-STAT-0.639584828808473
p-value0.587927572346504
Lambda13.0851153211200

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 106.621803589403 \tabularnewline
beta & -12.0851153211200 \tabularnewline
S.D. & 18.8952501322368 \tabularnewline
T-STAT & -0.639584828808473 \tabularnewline
p-value & 0.587927572346504 \tabularnewline
Lambda & 13.0851153211200 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60839&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]106.621803589403[/C][/ROW]
[ROW][C]beta[/C][C]-12.0851153211200[/C][/ROW]
[ROW][C]S.D.[/C][C]18.8952501322368[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.639584828808473[/C][/ROW]
[ROW][C]p-value[/C][C]0.587927572346504[/C][/ROW]
[ROW][C]Lambda[/C][C]13.0851153211200[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60839&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60839&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)
alpha106.621803589403
beta-12.0851153211200
S.D.18.8952501322368
T-STAT-0.639584828808473
p-value0.587927572346504
Lambda13.0851153211200


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')