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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 computationMon, 17 May 2010 16:34:12 +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/May/17/t1274114279nqq3t0f0qi0l0rz.htm/, Retrieved Sun, 05 May 2024 08:56:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76105, Retrieved Sun, 05 May 2024 08:56:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact103

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] [Earthquakes per y...] [2010-05-17 16:34:12] [6248cd2b0d0af288003213c4deab0003] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13
14
8
10
16
26
32
27
18
32
36
24
22
23
22
18
25
21
21
14
8
11
14
23
18
17
19
20
22
19
13
26
13
14
22
24
21
22
26
21
23
24
27
41
31
27
35
26
28
36
39
21
17
22
17
19
15
34
10
15
22
18
15
20
15
22
19
16
30
27
29
23
20
16
21
21
25
16
18
15
18
14
10
15
8
15
6
11
8
7
13
10
23
16
15
25
22
20
16

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76105&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]3 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=76105&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76105&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
121.33333333333339.4034165293388128
218.55.4522722535904917
318.91666666666674.2094770423054913
4276.0302268915552720
522.759.3432036553558329
621.33333333333335.1932356936400415
717.41666666666673.964807305493815
813.08333333333336.0970683466927319

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 21.3333333333333 & 9.40341652933881 & 28 \tabularnewline
2 & 18.5 & 5.45227225359049 & 17 \tabularnewline
3 & 18.9166666666667 & 4.20947704230549 & 13 \tabularnewline
4 & 27 & 6.03022689155527 & 20 \tabularnewline
5 & 22.75 & 9.34320365535583 & 29 \tabularnewline
6 & 21.3333333333333 & 5.19323569364004 & 15 \tabularnewline
7 & 17.4166666666667 & 3.9648073054938 & 15 \tabularnewline
8 & 13.0833333333333 & 6.09706834669273 & 19 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76105&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]21.3333333333333[/C][C]9.40341652933881[/C][C]28[/C][/ROW]
[ROW][C]2[/C][C]18.5[/C][C]5.45227225359049[/C][C]17[/C][/ROW]
[ROW][C]3[/C][C]18.9166666666667[/C][C]4.20947704230549[/C][C]13[/C][/ROW]
[ROW][C]4[/C][C]27[/C][C]6.03022689155527[/C][C]20[/C][/ROW]
[ROW][C]5[/C][C]22.75[/C][C]9.34320365535583[/C][C]29[/C][/ROW]
[ROW][C]6[/C][C]21.3333333333333[/C][C]5.19323569364004[/C][C]15[/C][/ROW]
[ROW][C]7[/C][C]17.4166666666667[/C][C]3.9648073054938[/C][C]15[/C][/ROW]
[ROW][C]8[/C][C]13.0833333333333[/C][C]6.09706834669273[/C][C]19[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76105&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76105&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
121.33333333333339.4034165293388128
218.55.4522722535904917
318.91666666666674.2094770423054913
4276.0302268915552720
522.759.3432036553558329
621.33333333333335.1932356936400415
717.41666666666673.964807305493815
813.08333333333336.0970683466927319






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2.79147804600963
beta0.170656237109535
S.D.0.196233771128239
T-STAT0.869657837834705
p-value0.417914937969298

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.79147804600963 \tabularnewline
beta & 0.170656237109535 \tabularnewline
S.D. & 0.196233771128239 \tabularnewline
T-STAT & 0.869657837834705 \tabularnewline
p-value & 0.417914937969298 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76105&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.79147804600963[/C][/ROW]
[ROW][C]beta[/C][C]0.170656237109535[/C][/ROW]
[ROW][C]S.D.[/C][C]0.196233771128239[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.869657837834705[/C][/ROW]
[ROW][C]p-value[/C][C]0.417914937969298[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76105&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76105&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)
alpha2.79147804600963
beta0.170656237109535
S.D.0.196233771128239
T-STAT0.869657837834705
p-value0.417914937969298






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.348357914159485
beta0.480605392239201
S.D.0.58105700567812
T-STAT0.827122618852711
p-value0.439815887563248
Lambda0.519394607760799

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.348357914159485 \tabularnewline
beta & 0.480605392239201 \tabularnewline
S.D. & 0.58105700567812 \tabularnewline
T-STAT & 0.827122618852711 \tabularnewline
p-value & 0.439815887563248 \tabularnewline
Lambda & 0.519394607760799 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76105&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.348357914159485[/C][/ROW]
[ROW][C]beta[/C][C]0.480605392239201[/C][/ROW]
[ROW][C]S.D.[/C][C]0.58105700567812[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.827122618852711[/C][/ROW]
[ROW][C]p-value[/C][C]0.439815887563248[/C][/ROW]
[ROW][C]Lambda[/C][C]0.519394607760799[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76105&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76105&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)
alpha0.348357914159485
beta0.480605392239201
S.D.0.58105700567812
T-STAT0.827122618852711
p-value0.439815887563248
Lambda0.519394607760799


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')