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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 12 Dec 2010 16:09:19 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292170042vnaobwj8zbsk3ui.htm/, Retrieved Tue, 07 May 2024 21:37:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108534, Retrieved Tue, 07 May 2024 21:37:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [SDM aanvoer] [2010-12-11 19:26:53] [04d4386fa51dbd2ef12d0f1f80644886]
-    D    [Standard Deviation-Mean Plot] [SDM interventie] [2010-12-12 16:09:19] [de8ccb310fbbdc3d90ae577a3e011cf9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16
29
22
30
20
39
18
9,6
10,2
20,2
50
120
19,8
18
3
11
15
27
28
14
5,6
6,5
8,5
87,9
5,8
25,2
7,5
13,7
34
17
9
9,2
5
24
40
86,5
0,54
14
4,8
28
16
5,8
16
9,1
6
17
26
99,6
41
72
23
42
40
18
45
18
2
10
13,6
160

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=108534&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=108534&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108534&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
13230.0639318785817110.4
220.358333333333322.721173878658784.9
323.07522.996131097524881.5
420.236666666666726.351935355296099.06
540.383333333333342.3730152838151158

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 32 & 30.0639318785817 & 110.4 \tabularnewline
2 & 20.3583333333333 & 22.7211738786587 & 84.9 \tabularnewline
3 & 23.075 & 22.9961310975248 & 81.5 \tabularnewline
4 & 20.2366666666667 & 26.3519353552960 & 99.06 \tabularnewline
5 & 40.3833333333333 & 42.3730152838151 & 158 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108534&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]32[/C][C]30.0639318785817[/C][C]110.4[/C][/ROW]
[ROW][C]2[/C][C]20.3583333333333[/C][C]22.7211738786587[/C][C]84.9[/C][/ROW]
[ROW][C]3[/C][C]23.075[/C][C]22.9961310975248[/C][C]81.5[/C][/ROW]
[ROW][C]4[/C][C]20.2366666666667[/C][C]26.3519353552960[/C][C]99.06[/C][/ROW]
[ROW][C]5[/C][C]40.3833333333333[/C][C]42.3730152838151[/C][C]158[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108534&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108534&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
13230.0639318785817110.4
220.358333333333322.721173878658784.9
323.07522.996131097524881.5
420.236666666666726.351935355296099.06
540.383333333333342.3730152838151158






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5.34995025458234
beta0.865516730357932
S.D.0.182267946319552
T-STAT4.74859539395101
p-value0.017719310578092

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5.34995025458234 \tabularnewline
beta & 0.865516730357932 \tabularnewline
S.D. & 0.182267946319552 \tabularnewline
T-STAT & 4.74859539395101 \tabularnewline
p-value & 0.017719310578092 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108534&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.34995025458234[/C][/ROW]
[ROW][C]beta[/C][C]0.865516730357932[/C][/ROW]
[ROW][C]S.D.[/C][C]0.182267946319552[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.74859539395101[/C][/ROW]
[ROW][C]p-value[/C][C]0.017719310578092[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108534&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108534&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)
alpha5.34995025458234
beta0.865516730357932
S.D.0.182267946319552
T-STAT4.74859539395101
p-value0.017719310578092






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.829481799336711
beta0.767745580592654
S.D.0.194666936903008
T-STAT3.94389305552786
p-value0.0290614718200686
Lambda0.232254419407346

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.829481799336711 \tabularnewline
beta & 0.767745580592654 \tabularnewline
S.D. & 0.194666936903008 \tabularnewline
T-STAT & 3.94389305552786 \tabularnewline
p-value & 0.0290614718200686 \tabularnewline
Lambda & 0.232254419407346 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108534&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.829481799336711[/C][/ROW]
[ROW][C]beta[/C][C]0.767745580592654[/C][/ROW]
[ROW][C]S.D.[/C][C]0.194666936903008[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.94389305552786[/C][/ROW]
[ROW][C]p-value[/C][C]0.0290614718200686[/C][/ROW]
[ROW][C]Lambda[/C][C]0.232254419407346[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108534&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108534&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)
alpha0.829481799336711
beta0.767745580592654
S.D.0.194666936903008
T-STAT3.94389305552786
p-value0.0290614718200686
Lambda0.232254419407346


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')