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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 computationWed, 27 Nov 2013 13:13:32 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/27/t1385576025g1npn5gbmjzqp4t.htm/, Retrieved Mon, 29 Apr 2024 14:35:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=229100, Retrieved Mon, 29 Apr 2024 14:35:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79

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] [] [2013-11-27 18:13:32] [180e98ae07f6df0eca7781798569558e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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24
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27
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24
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18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229100&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229100&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
124.16666666666671.527525231651956
223.33333333333331.556997888323055
321.41666666666671.240112409372154
422.751.544785951633314
524.91666666666671.975225341958527
624.33333333333331.669694219873445
722.52.276360731917988

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 24.1666666666667 & 1.52752523165195 & 6 \tabularnewline
2 & 23.3333333333333 & 1.55699788832305 & 5 \tabularnewline
3 & 21.4166666666667 & 1.24011240937215 & 4 \tabularnewline
4 & 22.75 & 1.54478595163331 & 4 \tabularnewline
5 & 24.9166666666667 & 1.97522534195852 & 7 \tabularnewline
6 & 24.3333333333333 & 1.66969421987344 & 5 \tabularnewline
7 & 22.5 & 2.27636073191798 & 8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229100&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]24.1666666666667[/C][C]1.52752523165195[/C][C]6[/C][/ROW]
[ROW][C]2[/C][C]23.3333333333333[/C][C]1.55699788832305[/C][C]5[/C][/ROW]
[ROW][C]3[/C][C]21.4166666666667[/C][C]1.24011240937215[/C][C]4[/C][/ROW]
[ROW][C]4[/C][C]22.75[/C][C]1.54478595163331[/C][C]4[/C][/ROW]
[ROW][C]5[/C][C]24.9166666666667[/C][C]1.97522534195852[/C][C]7[/C][/ROW]
[ROW][C]6[/C][C]24.3333333333333[/C][C]1.66969421987344[/C][C]5[/C][/ROW]
[ROW][C]7[/C][C]22.5[/C][C]2.27636073191798[/C][C]8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229100&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
124.16666666666671.527525231651956
223.33333333333331.556997888323055
321.41666666666671.240112409372154
422.751.544785951633314
524.91666666666671.975225341958527
624.33333333333331.669694219873445
722.52.276360731917988






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.293381693317526
beta0.0847182475958373
S.D.0.118831551038912
T-STAT0.712927222233229
p-value0.507771511528954

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.293381693317526 \tabularnewline
beta & 0.0847182475958373 \tabularnewline
S.D. & 0.118831551038912 \tabularnewline
T-STAT & 0.712927222233229 \tabularnewline
p-value & 0.507771511528954 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229100&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.293381693317526[/C][/ROW]
[ROW][C]beta[/C][C]0.0847182475958373[/C][/ROW]
[ROW][C]S.D.[/C][C]0.118831551038912[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.712927222233229[/C][/ROW]
[ROW][C]p-value[/C][C]0.507771511528954[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229100&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229100&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-0.293381693317526
beta0.0847182475958373
S.D.0.118831551038912
T-STAT0.712927222233229
p-value0.507771511528954






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.05774222533729
beta1.44873347931504
S.D.1.53743329159144
T-STAT0.942306562007263
p-value0.389301159912453
Lambda-0.448733479315037

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.05774222533729 \tabularnewline
beta & 1.44873347931504 \tabularnewline
S.D. & 1.53743329159144 \tabularnewline
T-STAT & 0.942306562007263 \tabularnewline
p-value & 0.389301159912453 \tabularnewline
Lambda & -0.448733479315037 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229100&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.05774222533729[/C][/ROW]
[ROW][C]beta[/C][C]1.44873347931504[/C][/ROW]
[ROW][C]S.D.[/C][C]1.53743329159144[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.942306562007263[/C][/ROW]
[ROW][C]p-value[/C][C]0.389301159912453[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.448733479315037[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229100&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229100&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-4.05774222533729
beta1.44873347931504
S.D.1.53743329159144
T-STAT0.942306562007263
p-value0.389301159912453
Lambda-0.448733479315037


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')