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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 computationThu, 28 May 2009 05:04:24 -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/May/28/t12435087143olxvfksnxptp0m.htm/, Retrieved Mon, 06 May 2024 04:39:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40591, Retrieved Mon, 06 May 2024 04:39:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142

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] [Opgave 8 - Tabakp...] [2009-05-28 11:04:24] [be8f2ceb4bab9280e3447d0ad1b6c819] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3.27
3.27
3.27
3.27
3.27
3.28
3.32
3.34
3.34
3.35
3.35
3.35
3.35
3.35
3.4
3.42
3.42
3.42
3.42
3.42
3.42
3.42
3.42
3.42
3.42
3.42
3.43
3.47
3.51
3.52
3.52
3.52
3.52
3.52
3.52
3.52
3.52
3.52
3.58
3.6
3.61
3.61
3.61
3.63
3.68
3.69
3.69
3.69
3.69
3.69
3.69
3.69
3.69
3.78
3.79
3.79
3.8
3.8
3.8
3.8
3.81
3.95
3.99
4
4.06
4.16
4.19
4.2
4.2
4.2
4.2
4.2
4.23
4.38
4.43
4.44
4.44
4.44
4.44
4.44
4.45
4.45
4.45
4.45
4.45
4.45
4.45
4.45
4.46
4.46
4.46
4.48
4.58
4.67
4.68
4.68
4.69
4.69
4.69
4.69
4.69
4.69
4.69
4.73
4.78
4.79
4.79
4.8
4.8
4.81
5.16
5.26
5.29
5.29
5.29
5.3
5.3
5.3
5.3
5.3
5.3
5.3
5.3
5.35
5.44
5.47
5.47
5.48
5.48
5.48
5.48

Tables (Output of Computation)





Summary of computational 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 computational 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=40591&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]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=40591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40591&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13.306666666666670.03749747466244370.08
23.406666666666670.02708012801545310.0699999999999998
33.490833333333330.0431610795495060.1
43.619166666666670.0608213977498250.17
53.750833333333330.05401318581998510.110000000000000
64.096666666666670.1320697703580360.39
74.420.0628128533459080.220000000000000
84.52250.09964710459689950.230000000000000
94.726666666666670.04830458915396460.109999999999999
105.20.1886796226411320.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3.30666666666667 & 0.0374974746624437 & 0.08 \tabularnewline
2 & 3.40666666666667 & 0.0270801280154531 & 0.0699999999999998 \tabularnewline
3 & 3.49083333333333 & 0.043161079549506 & 0.1 \tabularnewline
4 & 3.61916666666667 & 0.060821397749825 & 0.17 \tabularnewline
5 & 3.75083333333333 & 0.0540131858199851 & 0.110000000000000 \tabularnewline
6 & 4.09666666666667 & 0.132069770358036 & 0.39 \tabularnewline
7 & 4.42 & 0.062812853345908 & 0.220000000000000 \tabularnewline
8 & 4.5225 & 0.0996471045968995 & 0.230000000000000 \tabularnewline
9 & 4.72666666666667 & 0.0483045891539646 & 0.109999999999999 \tabularnewline
10 & 5.2 & 0.188679622641132 & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40591&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]3.30666666666667[/C][C]0.0374974746624437[/C][C]0.08[/C][/ROW]
[ROW][C]2[/C][C]3.40666666666667[/C][C]0.0270801280154531[/C][C]0.0699999999999998[/C][/ROW]
[ROW][C]3[/C][C]3.49083333333333[/C][C]0.043161079549506[/C][C]0.1[/C][/ROW]
[ROW][C]4[/C][C]3.61916666666667[/C][C]0.060821397749825[/C][C]0.17[/C][/ROW]
[ROW][C]5[/C][C]3.75083333333333[/C][C]0.0540131858199851[/C][C]0.110000000000000[/C][/ROW]
[ROW][C]6[/C][C]4.09666666666667[/C][C]0.132069770358036[/C][C]0.39[/C][/ROW]
[ROW][C]7[/C][C]4.42[/C][C]0.062812853345908[/C][C]0.220000000000000[/C][/ROW]
[ROW][C]8[/C][C]4.5225[/C][C]0.0996471045968995[/C][C]0.230000000000000[/C][/ROW]
[ROW][C]9[/C][C]4.72666666666667[/C][C]0.0483045891539646[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]10[/C][C]5.2[/C][C]0.188679622641132[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40591&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
13.306666666666670.03749747466244370.08
23.406666666666670.02708012801545310.0699999999999998
33.490833333333330.0431610795495060.1
43.619166666666670.0608213977498250.17
53.750833333333330.05401318581998510.110000000000000
64.096666666666670.1320697703580360.39
74.420.0628128533459080.220000000000000
84.52250.09964710459689950.230000000000000
94.726666666666670.04830458915396460.109999999999999
105.20.1886796226411320.5






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.156361874979271
beta0.0571708425181516
S.D.0.0192174981683610
T-STAT2.97493680068490
p-value0.0177369517022270

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.156361874979271 \tabularnewline
beta & 0.0571708425181516 \tabularnewline
S.D. & 0.0192174981683610 \tabularnewline
T-STAT & 2.97493680068490 \tabularnewline
p-value & 0.0177369517022270 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40591&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.156361874979271[/C][/ROW]
[ROW][C]beta[/C][C]0.0571708425181516[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0192174981683610[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.97493680068490[/C][/ROW]
[ROW][C]p-value[/C][C]0.0177369517022270[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40591&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40591&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-0.156361874979271
beta0.0571708425181516
S.D.0.0192174981683610
T-STAT2.97493680068490
p-value0.0177369517022270






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.69892497434322
beta2.83997593444826
S.D.0.908090801209178
T-STAT3.12741405448294
p-value0.0140701442376135
Lambda-1.83997593444826

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.69892497434322 \tabularnewline
beta & 2.83997593444826 \tabularnewline
S.D. & 0.908090801209178 \tabularnewline
T-STAT & 3.12741405448294 \tabularnewline
p-value & 0.0140701442376135 \tabularnewline
Lambda & -1.83997593444826 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40591&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.69892497434322[/C][/ROW]
[ROW][C]beta[/C][C]2.83997593444826[/C][/ROW]
[ROW][C]S.D.[/C][C]0.908090801209178[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.12741405448294[/C][/ROW]
[ROW][C]p-value[/C][C]0.0140701442376135[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.83997593444826[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40591&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40591&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-6.69892497434322
beta2.83997593444826
S.D.0.908090801209178
T-STAT3.12741405448294
p-value0.0140701442376135
Lambda-1.83997593444826


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')