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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, 08 Jan 2009 12:36:51 -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/Jan/08/t12314436920kmk9y4ktjevnkg.htm/, Retrieved Wed, 08 May 2024 21:37:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36827, Retrieved Wed, 08 May 2024 21:37:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218

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] [opdracht 8-oefeni...] [2009-01-08 19:36:51] [8318384c9bdcc6ef9a73ee2012b12620] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.27
1.23
1.27
1.22
1.29
1.36
1.44
1.62
1.57
1.22
1.14
1.14
1.17
1.16
1.14
1.15
1.16
1.21
1.22
1.22
1.17
0.95
1
1.01
1.01
1
1
1
1.06
1.22
1.24
1.34
1.3
1.05
1
1
1.01
1.02
1.06
1.09
1.09
1.15
1.25
1.37
1.51
1.35
1.32
1.3
1.39
1.4
1.39
1.42
1.44
1.44
1.45
1.39
1.48
1.32
1.29
1.31
1.27
1.38
1.38
1.45
1.5
1.63
1.73
1.84
1.75
1.34
1.36
1.33
1.37
1.39
1.4
1.4
1.43
1.52
1.54
1.85
1.83
1.29
1.2
1.2
1.21
1.21
1.19
1.18
1.17
1.22
1.25
1.3
1.33
1.18
1.18
1.19

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' @ 193.190.124.10:1001

\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' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36827&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' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36827&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36827&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' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11.314166666666670.1557654608309520.48
21.130.09135345940605940.27
31.101666666666670.1327220837507890.34
41.210.1618079669911780.5
51.393333333333330.05944184833375670.19
61.496666666666670.1921331608940830.57
71.451666666666670.2096244838811160.65
81.21750.0510124761923270.16

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.31416666666667 & 0.155765460830952 & 0.48 \tabularnewline
2 & 1.13 & 0.0913534594060594 & 0.27 \tabularnewline
3 & 1.10166666666667 & 0.132722083750789 & 0.34 \tabularnewline
4 & 1.21 & 0.161807966991178 & 0.5 \tabularnewline
5 & 1.39333333333333 & 0.0594418483337567 & 0.19 \tabularnewline
6 & 1.49666666666667 & 0.192133160894083 & 0.57 \tabularnewline
7 & 1.45166666666667 & 0.209624483881116 & 0.65 \tabularnewline
8 & 1.2175 & 0.051012476192327 & 0.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36827&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]1.31416666666667[/C][C]0.155765460830952[/C][C]0.48[/C][/ROW]
[ROW][C]2[/C][C]1.13[/C][C]0.0913534594060594[/C][C]0.27[/C][/ROW]
[ROW][C]3[/C][C]1.10166666666667[/C][C]0.132722083750789[/C][C]0.34[/C][/ROW]
[ROW][C]4[/C][C]1.21[/C][C]0.161807966991178[/C][C]0.5[/C][/ROW]
[ROW][C]5[/C][C]1.39333333333333[/C][C]0.0594418483337567[/C][C]0.19[/C][/ROW]
[ROW][C]6[/C][C]1.49666666666667[/C][C]0.192133160894083[/C][C]0.57[/C][/ROW]
[ROW][C]7[/C][C]1.45166666666667[/C][C]0.209624483881116[/C][C]0.65[/C][/ROW]
[ROW][C]8[/C][C]1.2175[/C][C]0.051012476192327[/C][C]0.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36827&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36827&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
11.314166666666670.1557654608309520.48
21.130.09135345940605940.27
31.101666666666670.1327220837507890.34
41.210.1618079669911780.5
51.393333333333330.05944184833375670.19
61.496666666666670.1921331608940830.57
71.451666666666670.2096244838811160.65
81.21750.0510124761923270.16






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.103702983359762
beta0.182596685134111
S.D.0.145732473424278
T-STAT1.25295811457553
p-value0.256838252169328

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.103702983359762 \tabularnewline
beta & 0.182596685134111 \tabularnewline
S.D. & 0.145732473424278 \tabularnewline
T-STAT & 1.25295811457553 \tabularnewline
p-value & 0.256838252169328 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36827&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.103702983359762[/C][/ROW]
[ROW][C]beta[/C][C]0.182596685134111[/C][/ROW]
[ROW][C]S.D.[/C][C]0.145732473424278[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.25295811457553[/C][/ROW]
[ROW][C]p-value[/C][C]0.256838252169328[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36827&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36827&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-0.103702983359762
beta0.182596685134111
S.D.0.145732473424278
T-STAT1.25295811457553
p-value0.256838252169328






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.50618629783538
beta1.48228977467959
S.D.1.80470929589277
T-STAT0.82134545328328
p-value0.442853954977483
Lambda-0.482289774679593

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.50618629783538 \tabularnewline
beta & 1.48228977467959 \tabularnewline
S.D. & 1.80470929589277 \tabularnewline
T-STAT & 0.82134545328328 \tabularnewline
p-value & 0.442853954977483 \tabularnewline
Lambda & -0.482289774679593 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36827&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.50618629783538[/C][/ROW]
[ROW][C]beta[/C][C]1.48228977467959[/C][/ROW]
[ROW][C]S.D.[/C][C]1.80470929589277[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.82134545328328[/C][/ROW]
[ROW][C]p-value[/C][C]0.442853954977483[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.482289774679593[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36827&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36827&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-2.50618629783538
beta1.48228977467959
S.D.1.80470929589277
T-STAT0.82134545328328
p-value0.442853954977483
Lambda-0.482289774679593


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')