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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 computationFri, 03 Dec 2010 19:50:52 +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/03/t129140573400wikpxrlvzjaot.htm/, Retrieved Wed, 08 May 2024 03:25:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104993, Retrieved Wed, 08 May 2024 03:25:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83 - PAUWELS
Estimated Impact130

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] [Faillissementen d...] [2010-10-03 10:06:37] [b119b331fded920041428c5246795730]
- RMP   [Variability] [Faillissementen d...] [2010-12-03 19:46:11] [b119b331fded920041428c5246795730]
- RMP     [Standard Deviation Plot] [Faillissementen d...] [2010-12-03 19:49:15] [b119b331fded920041428c5246795730]
- RM          [Standard Deviation-Mean Plot] [Faillissementen d...] [2010-12-03 19:50:52] [0879bbcec85a2f8393668d46994b687b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12
13
23
24
21
20
18
13
12
25
21
17
10
15
23
12
10
21
9
13
17
14
20
12
13
14
23
14
21
21
21
7
15
28
28
18
22
30
1
26
29
24
26
19
19
41
36
54
49
33
50
43
51
46
45
23
56
41
48
43

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=104993&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=104993&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104993&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
118.254.8076643355829613
214.66666666666674.6384427898974414
318.58333333333336.2879152974478621
427.2512.997377357829553
5448.7801428855633733

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 18.25 & 4.80766433558296 & 13 \tabularnewline
2 & 14.6666666666667 & 4.63844278989744 & 14 \tabularnewline
3 & 18.5833333333333 & 6.28791529744786 & 21 \tabularnewline
4 & 27.25 & 12.9973773578295 & 53 \tabularnewline
5 & 44 & 8.78014288556337 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104993&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]18.25[/C][C]4.80766433558296[/C][C]13[/C][/ROW]
[ROW][C]2[/C][C]14.6666666666667[/C][C]4.63844278989744[/C][C]14[/C][/ROW]
[ROW][C]3[/C][C]18.5833333333333[/C][C]6.28791529744786[/C][C]21[/C][/ROW]
[ROW][C]4[/C][C]27.25[/C][C]12.9973773578295[/C][C]53[/C][/ROW]
[ROW][C]5[/C][C]44[/C][C]8.78014288556337[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104993&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104993&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
118.254.8076643355829613
214.66666666666674.6384427898974414
318.58333333333336.2879152974478621
427.2512.997377357829553
5448.7801428855633733






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3.44917632778130
beta0.165097034846555
S.D.0.141479579001030
T-STAT1.16693190644392
p-value0.327559953515476

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3.44917632778130 \tabularnewline
beta & 0.165097034846555 \tabularnewline
S.D. & 0.141479579001030 \tabularnewline
T-STAT & 1.16693190644392 \tabularnewline
p-value & 0.327559953515476 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104993&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.44917632778130[/C][/ROW]
[ROW][C]beta[/C][C]0.165097034846555[/C][/ROW]
[ROW][C]S.D.[/C][C]0.141479579001030[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16693190644392[/C][/ROW]
[ROW][C]p-value[/C][C]0.327559953515476[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104993&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104993&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)
alpha3.44917632778130
beta0.165097034846555
S.D.0.141479579001030
T-STAT1.16693190644392
p-value0.327559953515476






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.336494157990460
beta0.728334603025759
S.D.0.39898939384911
T-STAT1.82544853134918
p-value0.165418785491567
Lambda0.271665396974241

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.336494157990460 \tabularnewline
beta & 0.728334603025759 \tabularnewline
S.D. & 0.39898939384911 \tabularnewline
T-STAT & 1.82544853134918 \tabularnewline
p-value & 0.165418785491567 \tabularnewline
Lambda & 0.271665396974241 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104993&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.336494157990460[/C][/ROW]
[ROW][C]beta[/C][C]0.728334603025759[/C][/ROW]
[ROW][C]S.D.[/C][C]0.39898939384911[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.82544853134918[/C][/ROW]
[ROW][C]p-value[/C][C]0.165418785491567[/C][/ROW]
[ROW][C]Lambda[/C][C]0.271665396974241[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104993&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104993&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-0.336494157990460
beta0.728334603025759
S.D.0.39898939384911
T-STAT1.82544853134918
p-value0.165418785491567
Lambda0.271665396974241


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')