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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 computationTue, 27 Nov 2007 05:50:44 -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/2007/Nov/27/t1196167492g5jmfa47krdx7fz.htm/, Retrieved Sun, 05 May 2024 19:05:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6862, Retrieved Sun, 05 May 2024 19:05:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact176

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] [reeks 4 standard ...] [2007-11-27 12:50:44] [372f82c86cdcc50abc807b137b6a3bca] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3
13
7
4
7
2
-1
-3
-3
-11
-5
-4
-4
7
1
-7
-5
-8
-8
-8
-6
-9
-8
-5
-10
-1
-10
-14
-15
-10
-11
-11
-11
-16
-17
-12
-13
-4
-5
-2
6
0
-1
10
3
6
9
-1
-2
1
11
5
2
-2
-4
-5
-3
-5
-9
-7
4
13
5
2
1
-3
4
7
4
8
13
10

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6862&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6862&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6862&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.756.5383484153110126
2-54.6514904747149211
3-11.54.123105625617669
40.6666666666666676.5551275326798224
5-1.55.5350125235959226
65.666666666666674.7926711727070323

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.75 & 6.53834841531101 & 26 \tabularnewline
2 & -5 & 4.65149047471492 & 11 \tabularnewline
3 & -11.5 & 4.12310562561766 & 9 \tabularnewline
4 & 0.666666666666667 & 6.55512753267982 & 24 \tabularnewline
5 & -1.5 & 5.53501252359592 & 26 \tabularnewline
6 & 5.66666666666667 & 4.79267117270703 & 23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6862&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]0.75[/C][C]6.53834841531101[/C][C]26[/C][/ROW]
[ROW][C]2[/C][C]-5[/C][C]4.65149047471492[/C][C]11[/C][/ROW]
[ROW][C]3[/C][C]-11.5[/C][C]4.12310562561766[/C][C]9[/C][/ROW]
[ROW][C]4[/C][C]0.666666666666667[/C][C]6.55512753267982[/C][C]24[/C][/ROW]
[ROW][C]5[/C][C]-1.5[/C][C]5.53501252359592[/C][C]26[/C][/ROW]
[ROW][C]6[/C][C]5.66666666666667[/C][C]4.79267117270703[/C][C]23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6862&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6862&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
10.756.5383484153110126
2-54.6514904747149211
3-11.54.123105625617669
40.6666666666666676.5551275326798224
5-1.55.5350125235959226
65.666666666666674.7926711727070323






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.53483830450862
beta0.092818999916827
S.D.0.073298625171139
T-STAT1.26631297244814
p-value0.274123609498001

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.53483830450862 \tabularnewline
beta & 0.092818999916827 \tabularnewline
S.D. & 0.073298625171139 \tabularnewline
T-STAT & 1.26631297244814 \tabularnewline
p-value & 0.274123609498001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6862&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.53483830450862[/C][/ROW]
[ROW][C]beta[/C][C]0.092818999916827[/C][/ROW]
[ROW][C]S.D.[/C][C]0.073298625171139[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.26631297244814[/C][/ROW]
[ROW][C]p-value[/C][C]0.274123609498001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6862&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6862&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)
alpha5.53483830450862
beta0.092818999916827
S.D.0.073298625171139
T-STAT1.26631297244814
p-value0.274123609498001






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.82692310858231
beta-0.149549823491223
S.D.0.00626326301582383
T-STAT-23.8773021527904
p-value0.0266465595336152
Lambda1.14954982349122

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.82692310858231 \tabularnewline
beta & -0.149549823491223 \tabularnewline
S.D. & 0.00626326301582383 \tabularnewline
T-STAT & -23.8773021527904 \tabularnewline
p-value & 0.0266465595336152 \tabularnewline
Lambda & 1.14954982349122 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6862&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.82692310858231[/C][/ROW]
[ROW][C]beta[/C][C]-0.149549823491223[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00626326301582383[/C][/ROW]
[ROW][C]T-STAT[/C][C]-23.8773021527904[/C][/ROW]
[ROW][C]p-value[/C][C]0.0266465595336152[/C][/ROW]
[ROW][C]Lambda[/C][C]1.14954982349122[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6862&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6862&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)
alpha1.82692310858231
beta-0.149549823491223
S.D.0.00626326301582383
T-STAT-23.8773021527904
p-value0.0266465595336152
Lambda1.14954982349122


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')