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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 computationTue, 28 Dec 2010 09:04:37 +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/28/t1293527064x00o6ah09gjp7lp.htm/, Retrieved Sat, 04 May 2024 20:27:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116239, Retrieved Sat, 04 May 2024 20:27:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsStandard Deviation Mean Plot - Gemiddelde Bouwgrondprijzen
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] [Paper Statistiek] [2010-12-28 09:04:37] [f6fdc0236f011c1845380977efc505f8] [Current]
-    D    [Standard Deviation-Mean Plot] [Paper Statistiek] [2010-12-28 14:01:20] [82c18f3ebe9df70882495121eb816e07]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
26
27
28
27
29
27
30
27
30
32
30
32
33
34
32
34
37
37
36
34
38
41
41
44
42
45
45
49
54
52
53
51
55
60
60
63
60
64
65
75
70
72
69
75
74
74
75
79
79
85
78
84
85
85
82
91
90
98
98

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time10 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 & 10 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116239&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]10 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=116239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116239&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 time10 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
126.750.9574271077563382
228.251.53
329.752.061552812808835
432.750.9574271077563382
5361.414213562373103
638.53.31662479035547
7441.414213562373103
8522.160246899469295
956.54.358898943540679
10632.160246899469295
1171.52.645751311064596
1274.50.5773502691896261
1380.253.201562118716427
14841.414213562373103
1594.254.349329450233308

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 26.75 & 0.957427107756338 & 2 \tabularnewline
2 & 28.25 & 1.5 & 3 \tabularnewline
3 & 29.75 & 2.06155281280883 & 5 \tabularnewline
4 & 32.75 & 0.957427107756338 & 2 \tabularnewline
5 & 36 & 1.41421356237310 & 3 \tabularnewline
6 & 38.5 & 3.3166247903554 & 7 \tabularnewline
7 & 44 & 1.41421356237310 & 3 \tabularnewline
8 & 52 & 2.16024689946929 & 5 \tabularnewline
9 & 56.5 & 4.35889894354067 & 9 \tabularnewline
10 & 63 & 2.16024689946929 & 5 \tabularnewline
11 & 71.5 & 2.64575131106459 & 6 \tabularnewline
12 & 74.5 & 0.577350269189626 & 1 \tabularnewline
13 & 80.25 & 3.20156211871642 & 7 \tabularnewline
14 & 84 & 1.41421356237310 & 3 \tabularnewline
15 & 94.25 & 4.34932945023330 & 8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116239&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]26.75[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]2[/C][C]28.25[/C][C]1.5[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]29.75[/C][C]2.06155281280883[/C][C]5[/C][/ROW]
[ROW][C]4[/C][C]32.75[/C][C]0.957427107756338[/C][C]2[/C][/ROW]
[ROW][C]5[/C][C]36[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]38.5[/C][C]3.3166247903554[/C][C]7[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]8[/C][C]52[/C][C]2.16024689946929[/C][C]5[/C][/ROW]
[ROW][C]9[/C][C]56.5[/C][C]4.35889894354067[/C][C]9[/C][/ROW]
[ROW][C]10[/C][C]63[/C][C]2.16024689946929[/C][C]5[/C][/ROW]
[ROW][C]11[/C][C]71.5[/C][C]2.64575131106459[/C][C]6[/C][/ROW]
[ROW][C]12[/C][C]74.5[/C][C]0.577350269189626[/C][C]1[/C][/ROW]
[ROW][C]13[/C][C]80.25[/C][C]3.20156211871642[/C][C]7[/C][/ROW]
[ROW][C]14[/C][C]84[/C][C]1.41421356237310[/C][C]3[/C][/ROW]
[ROW][C]15[/C][C]94.25[/C][C]4.34932945023330[/C][C]8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116239&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
126.750.9574271077563382
228.251.53
329.752.061552812808835
432.750.9574271077563382
5361.414213562373103
638.53.31662479035547
7441.414213562373103
8522.160246899469295
956.54.358898943540679
10632.160246899469295
1171.52.645751311064596
1274.50.5773502691896261
1380.253.201562118716427
14841.414213562373103
1594.254.349329450233308






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.987911684669331
beta0.0217615555756643
S.D.0.0133032462739089
T-STAT1.63580791692508
p-value0.125848396061440

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.987911684669331 \tabularnewline
beta & 0.0217615555756643 \tabularnewline
S.D. & 0.0133032462739089 \tabularnewline
T-STAT & 1.63580791692508 \tabularnewline
p-value & 0.125848396061440 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116239&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.987911684669331[/C][/ROW]
[ROW][C]beta[/C][C]0.0217615555756643[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0133032462739089[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.63580791692508[/C][/ROW]
[ROW][C]p-value[/C][C]0.125848396061440[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116239&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116239&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)
alpha0.987911684669331
beta0.0217615555756643
S.D.0.0133032462739089
T-STAT1.63580791692508
p-value0.125848396061440






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.16881516035592
beta0.458760295644369
S.D.0.353053164530339
T-STAT1.29940853597687
p-value0.216375570265191
Lambda0.541239704355631

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.16881516035592 \tabularnewline
beta & 0.458760295644369 \tabularnewline
S.D. & 0.353053164530339 \tabularnewline
T-STAT & 1.29940853597687 \tabularnewline
p-value & 0.216375570265191 \tabularnewline
Lambda & 0.541239704355631 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116239&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.16881516035592[/C][/ROW]
[ROW][C]beta[/C][C]0.458760295644369[/C][/ROW]
[ROW][C]S.D.[/C][C]0.353053164530339[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.29940853597687[/C][/ROW]
[ROW][C]p-value[/C][C]0.216375570265191[/C][/ROW]
[ROW][C]Lambda[/C][C]0.541239704355631[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116239&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116239&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-1.16881516035592
beta0.458760295644369
S.D.0.353053164530339
T-STAT1.29940853597687
p-value0.216375570265191
Lambda0.541239704355631


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')