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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 computationWed, 15 Dec 2010 20:10:52 +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/15/t1292443760dx8iv8e26virorl.htm/, Retrieved Fri, 03 May 2024 14:11:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110708, Retrieved Fri, 03 May 2024 14:11:14 +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)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD      [Standard Deviation-Mean Plot] [workshop 9 link 7] [2010-12-15 20:10:52] [95216a33d813bfae7986b08ea3322626] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
33
24
24
31
25
28
24
25
16
17
11
12
39
19
14
15
7
12
12
14
9
8
4
7
3
5
0
-2
6
11
9
17
21
21
41
57
65
68
73
71
71
70
69
65
57
57
57
55
65
65
64
60
43
47
40
31
27
24
23
17

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110708&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110708&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110708&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
122.57.0517567121443422
213.33333333333339.1087703324706235
315.7517.581627807562059
464.83333333333336.589707309451818
542.166666666666717.968828227761248

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 22.5 & 7.05175671214434 & 22 \tabularnewline
2 & 13.3333333333333 & 9.10877033247062 & 35 \tabularnewline
3 & 15.75 & 17.5816278075620 & 59 \tabularnewline
4 & 64.8333333333333 & 6.5897073094518 & 18 \tabularnewline
5 & 42.1666666666667 & 17.9688282277612 & 48 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110708&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]22.5[/C][C]7.05175671214434[/C][C]22[/C][/ROW]
[ROW][C]2[/C][C]13.3333333333333[/C][C]9.10877033247062[/C][C]35[/C][/ROW]
[ROW][C]3[/C][C]15.75[/C][C]17.5816278075620[/C][C]59[/C][/ROW]
[ROW][C]4[/C][C]64.8333333333333[/C][C]6.5897073094518[/C][C]18[/C][/ROW]
[ROW][C]5[/C][C]42.1666666666667[/C][C]17.9688282277612[/C][C]48[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110708&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110708&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
122.57.0517567121443422
213.33333333333339.1087703324706235
315.7517.581627807562059
464.83333333333336.589707309451818
542.166666666666717.968828227761248






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha13.4643919277742
beta-0.0568866163918934
S.D.0.14706382997761
T-STAT-0.386815822765898
p-value0.724699244882705

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 13.4643919277742 \tabularnewline
beta & -0.0568866163918934 \tabularnewline
S.D. & 0.14706382997761 \tabularnewline
T-STAT & -0.386815822765898 \tabularnewline
p-value & 0.724699244882705 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110708&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]13.4643919277742[/C][/ROW]
[ROW][C]beta[/C][C]-0.0568866163918934[/C][/ROW]
[ROW][C]S.D.[/C][C]0.14706382997761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.386815822765898[/C][/ROW]
[ROW][C]p-value[/C][C]0.724699244882705[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110708&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110708&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)
alpha13.4643919277742
beta-0.0568866163918934
S.D.0.14706382997761
T-STAT-0.386815822765898
p-value0.724699244882705






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.86064799307607
beta-0.15266351945803
S.D.0.411734723662636
T-STAT-0.370781259593540
p-value0.735434716518359
Lambda1.15266351945803

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.86064799307607 \tabularnewline
beta & -0.15266351945803 \tabularnewline
S.D. & 0.411734723662636 \tabularnewline
T-STAT & -0.370781259593540 \tabularnewline
p-value & 0.735434716518359 \tabularnewline
Lambda & 1.15266351945803 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110708&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.86064799307607[/C][/ROW]
[ROW][C]beta[/C][C]-0.15266351945803[/C][/ROW]
[ROW][C]S.D.[/C][C]0.411734723662636[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.370781259593540[/C][/ROW]
[ROW][C]p-value[/C][C]0.735434716518359[/C][/ROW]
[ROW][C]Lambda[/C][C]1.15266351945803[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110708&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110708&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)
alpha2.86064799307607
beta-0.15266351945803
S.D.0.411734723662636
T-STAT-0.370781259593540
p-value0.735434716518359
Lambda1.15266351945803


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')