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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, 02 Dec 2008 12:53:10 -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/2008/Dec/02/t12282476316zd7hbqt84fr1l5.htm/, Retrieved Sun, 19 May 2024 11:15:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28294, Retrieved Sun, 19 May 2024 11:15:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

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] [Toon Wouters] [2008-12-02 19:53:10] [14e94996a4178d938cb12bed20a4a373] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
103,1
100,6
103,1
95,5
90,5
90,9
88,8
90,7
94,3
104,6
111,1
110,8
107,2
99
99
91
96,2
96,9
96,2
100,1
99
115,4
106,9
107,1
99,3
99,2
108,3
105,6
99,5
107,4
93,1
88,1
110,7
113,1
99,6
93,6
98,6
99,6
114,3
107,8
101,2
112,5
100,5
93,9
116,2
112
106,4
95,7
96
95,8
103
102,2
98,4
111,4
86,6
91,3
107,9
101,8
104,4
93,4
100,1
98,5
112,9
101,4
107,1
110,8
90,3
95,5
111,4
113
107,5
95,9
106,3
105,2
117,2
106,9
108,2
113
97,2
99,9
108,1
118,1
109,1
93,3

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28294&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28294&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28294&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
198.66666666666677.9600517738532522.3
2101.1666666666676.6959055784226524.4
3101.4583333333337.6711334155252425
4104.8916666666677.6357363559102622.3
599.357.127092994023224.8
6103.77.744558206778622.7
7106.8757.434578303135624.8

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 98.6666666666667 & 7.96005177385325 & 22.3 \tabularnewline
2 & 101.166666666667 & 6.69590557842265 & 24.4 \tabularnewline
3 & 101.458333333333 & 7.67113341552524 & 25 \tabularnewline
4 & 104.891666666667 & 7.63573635591026 & 22.3 \tabularnewline
5 & 99.35 & 7.1270929940232 & 24.8 \tabularnewline
6 & 103.7 & 7.7445582067786 & 22.7 \tabularnewline
7 & 106.875 & 7.4345783031356 & 24.8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28294&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]98.6666666666667[/C][C]7.96005177385325[/C][C]22.3[/C][/ROW]
[ROW][C]2[/C][C]101.166666666667[/C][C]6.69590557842265[/C][C]24.4[/C][/ROW]
[ROW][C]3[/C][C]101.458333333333[/C][C]7.67113341552524[/C][C]25[/C][/ROW]
[ROW][C]4[/C][C]104.891666666667[/C][C]7.63573635591026[/C][C]22.3[/C][/ROW]
[ROW][C]5[/C][C]99.35[/C][C]7.1270929940232[/C][C]24.8[/C][/ROW]
[ROW][C]6[/C][C]103.7[/C][C]7.7445582067786[/C][C]22.7[/C][/ROW]
[ROW][C]7[/C][C]106.875[/C][C]7.4345783031356[/C][C]24.8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28294&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28294&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
198.66666666666677.9600517738532522.3
2101.1666666666676.6959055784226524.4
3101.4583333333337.6711334155252425
4104.8916666666677.6357363559102622.3
599.357.127092994023224.8
6103.77.744558206778622.7
7106.8757.434578303135624.8






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.33707248464558
beta0.0110451852980295
S.D.0.0639757649094627
T-STAT0.172646396860755
p-value0.869700382601093

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.33707248464558 \tabularnewline
beta & 0.0110451852980295 \tabularnewline
S.D. & 0.0639757649094627 \tabularnewline
T-STAT & 0.172646396860755 \tabularnewline
p-value & 0.869700382601093 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28294&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.33707248464558[/C][/ROW]
[ROW][C]beta[/C][C]0.0110451852980295[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0639757649094627[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.172646396860755[/C][/ROW]
[ROW][C]p-value[/C][C]0.869700382601093[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28294&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28294&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)
alpha6.33707248464558
beta0.0110451852980295
S.D.0.0639757649094627
T-STAT0.172646396860755
p-value0.869700382601093






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.18596686462928
beta0.177863127252607
S.D.0.89928109045146
T-STAT0.197783684257517
p-value0.851003856407443
Lambda0.822136872747393

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.18596686462928 \tabularnewline
beta & 0.177863127252607 \tabularnewline
S.D. & 0.89928109045146 \tabularnewline
T-STAT & 0.197783684257517 \tabularnewline
p-value & 0.851003856407443 \tabularnewline
Lambda & 0.822136872747393 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28294&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.18596686462928[/C][/ROW]
[ROW][C]beta[/C][C]0.177863127252607[/C][/ROW]
[ROW][C]S.D.[/C][C]0.89928109045146[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.197783684257517[/C][/ROW]
[ROW][C]p-value[/C][C]0.851003856407443[/C][/ROW]
[ROW][C]Lambda[/C][C]0.822136872747393[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28294&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28294&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)
alpha1.18596686462928
beta0.177863127252607
S.D.0.89928109045146
T-STAT0.197783684257517
p-value0.851003856407443
Lambda0.822136872747393


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')