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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 computationFri, 05 Jun 2009 13:23:23 -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/2009/Jun/05/t12442298380lhhn44vn8ishhb.htm/, Retrieved Thu, 09 May 2024 21:44:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41905, Retrieved Thu, 09 May 2024 21:44:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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] [prijs bier] [2009-06-05 17:03:14] [74be16979710d4c4e7c6647856088456]
-    D    [Standard Deviation-Mean Plot] [Eigen reeks: prij...] [2009-06-05 19:23:23] [43452a058b5967e58219044a1f0127ad] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.58
0.58
0.59
0.6
0.6
0.61
0.62
0.61
0.62
0.62
0.62
0.63
0.63
0.63
0.63
0.63
0.63
0.63
0.63
0.64
0.63
0.63
0.63
0.63
0.63
0.64
0.65
0.65
0.65
0.65
0.65
0.66
0.65
0.66
0.66
0.66
0.66
0.68
0.69
0.7
0.71
0.71
0.7
0.7
0.7
0.7
0.71
0.7
0.7
0.7
0.69
0.7
0.69
0.69
0.69
0.7
0.7
0.71
0.71
0.71
0.72
0.73
0.74
0.74
0.74
0.74
0.75
0.75
0.76
0.76
0.76
0.76
0.76
0.77
0.77
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.8
0.8
0.8
0.81
0.81
0.81
0.8
0.81
0.81
0.81
0.8
0.82
0.83
0.83

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'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41905&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41905&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41905&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.6066666666666670.01669694219873450.05
20.6308333333333330.002886751345948130.01
30.6508333333333330.009003366373785210.03
40.6966666666666670.01435481125130540.0499999999999999
50.6991666666666670.00792961461098760.02
60.7458333333333330.01311372170551510.04
70.780.01128152149635530.04
80.8116666666666670.01029857301088870.0299999999999999

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.606666666666667 & 0.0166969421987345 & 0.05 \tabularnewline
2 & 0.630833333333333 & 0.00288675134594813 & 0.01 \tabularnewline
3 & 0.650833333333333 & 0.00900336637378521 & 0.03 \tabularnewline
4 & 0.696666666666667 & 0.0143548112513054 & 0.0499999999999999 \tabularnewline
5 & 0.699166666666667 & 0.0079296146109876 & 0.02 \tabularnewline
6 & 0.745833333333333 & 0.0131137217055151 & 0.04 \tabularnewline
7 & 0.78 & 0.0112815214963553 & 0.04 \tabularnewline
8 & 0.811666666666667 & 0.0102985730108887 & 0.0299999999999999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41905&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]0.606666666666667[/C][C]0.0166969421987345[/C][C]0.05[/C][/ROW]
[ROW][C]2[/C][C]0.630833333333333[/C][C]0.00288675134594813[/C][C]0.01[/C][/ROW]
[ROW][C]3[/C][C]0.650833333333333[/C][C]0.00900336637378521[/C][C]0.03[/C][/ROW]
[ROW][C]4[/C][C]0.696666666666667[/C][C]0.0143548112513054[/C][C]0.0499999999999999[/C][/ROW]
[ROW][C]5[/C][C]0.699166666666667[/C][C]0.0079296146109876[/C][C]0.02[/C][/ROW]
[ROW][C]6[/C][C]0.745833333333333[/C][C]0.0131137217055151[/C][C]0.04[/C][/ROW]
[ROW][C]7[/C][C]0.78[/C][C]0.0112815214963553[/C][C]0.04[/C][/ROW]
[ROW][C]8[/C][C]0.811666666666667[/C][C]0.0102985730108887[/C][C]0.0299999999999999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41905&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41905&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
10.6066666666666670.01669694219873450.05
20.6308333333333330.002886751345948130.01
30.6508333333333330.009003366373785210.03
40.6966666666666670.01435481125130540.0499999999999999
50.6991666666666670.00792961461098760.02
60.7458333333333330.01311372170551510.04
70.780.01128152149635530.04
80.8116666666666670.01029857301088870.0299999999999999






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.0075162453928846
beta0.00452451921442807
S.D.0.0239233511909474
T-STAT0.189125644576925
p-value0.856229662865887

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.0075162453928846 \tabularnewline
beta & 0.00452451921442807 \tabularnewline
S.D. & 0.0239233511909474 \tabularnewline
T-STAT & 0.189125644576925 \tabularnewline
p-value & 0.856229662865887 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41905&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.0075162453928846[/C][/ROW]
[ROW][C]beta[/C][C]0.00452451921442807[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0239233511909474[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.189125644576925[/C][/ROW]
[ROW][C]p-value[/C][C]0.856229662865887[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41905&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41905&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)
alpha0.0075162453928846
beta0.00452451921442807
S.D.0.0239233511909474
T-STAT0.189125644576925
p-value0.856229662865887






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.17633994637171
beta1.29904027763346
S.D.2.09489001307802
T-STAT0.620099513350958
p-value0.55799296552577
Lambda-0.299040277633460

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.17633994637171 \tabularnewline
beta & 1.29904027763346 \tabularnewline
S.D. & 2.09489001307802 \tabularnewline
T-STAT & 0.620099513350958 \tabularnewline
p-value & 0.55799296552577 \tabularnewline
Lambda & -0.299040277633460 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41905&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.17633994637171[/C][/ROW]
[ROW][C]beta[/C][C]1.29904027763346[/C][/ROW]
[ROW][C]S.D.[/C][C]2.09489001307802[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.620099513350958[/C][/ROW]
[ROW][C]p-value[/C][C]0.55799296552577[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.299040277633460[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41905&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41905&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-4.17633994637171
beta1.29904027763346
S.D.2.09489001307802
T-STAT0.620099513350958
p-value0.55799296552577
Lambda-0.299040277633460


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')