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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 02 Dec 2012 13:57:09 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/02/t1354474652kmxf4gh79hd2kcd.htm/, Retrieved Fri, 29 Mar 2024 14:16:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195595, Retrieved Fri, 29 Mar 2024 14:16:38 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2012-12-02 18:57:09] [4d2251dc83b8e36495234b85db35e813] [Current]
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Dataseries X:
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394
20148
20108
18584
18441
18391
19178
18079
18483
19644
19195
19650
20830
23595
22937
21814
21928
21777
21383
21467
22052
22680
24320
24977
25204
25739
26434
27525
30695
32436
30160
30236
31293
31077
32226
33865
32810
32242
32700
32819
33947
34148
35261
39506
41591
39148
41216
40225




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195595&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195595&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195595&T=0

As an alternative you can also use a 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' @ jenkins.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115460.9166666667695.1090768993592520
216322775.6835109056462166
319107.9166666667703.2356980200142069
4224801260.966944992474147
529740.83333333332835.123945770068661
636301.08333333333704.161626611439349

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 15460.9166666667 & 695.109076899359 & 2520 \tabularnewline
2 & 16322 & 775.683510905646 & 2166 \tabularnewline
3 & 19107.9166666667 & 703.235698020014 & 2069 \tabularnewline
4 & 22480 & 1260.96694499247 & 4147 \tabularnewline
5 & 29740.8333333333 & 2835.12394577006 & 8661 \tabularnewline
6 & 36301.0833333333 & 3704.16162661143 & 9349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195595&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]15460.9166666667[/C][C]695.109076899359[/C][C]2520[/C][/ROW]
[ROW][C]2[/C][C]16322[/C][C]775.683510905646[/C][C]2166[/C][/ROW]
[ROW][C]3[/C][C]19107.9166666667[/C][C]703.235698020014[/C][C]2069[/C][/ROW]
[ROW][C]4[/C][C]22480[/C][C]1260.96694499247[/C][C]4147[/C][/ROW]
[ROW][C]5[/C][C]29740.8333333333[/C][C]2835.12394577006[/C][C]8661[/C][/ROW]
[ROW][C]6[/C][C]36301.0833333333[/C][C]3704.16162661143[/C][C]9349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195595&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195595&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
115460.9166666667695.1090768993592520
216322775.6835109056462166
319107.9166666667703.2356980200142069
4224801260.966944992474147
529740.83333333332835.123945770068661
636301.08333333333704.161626611439349







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1918.04661266186
beta0.154093226617868
S.D.0.0148914161852683
T-STAT10.3477885985289
p-value0.000492259492444801

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1918.04661266186 \tabularnewline
beta & 0.154093226617868 \tabularnewline
S.D. & 0.0148914161852683 \tabularnewline
T-STAT & 10.3477885985289 \tabularnewline
p-value & 0.000492259492444801 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195595&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1918.04661266186[/C][/ROW]
[ROW][C]beta[/C][C]0.154093226617868[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0148914161852683[/C][/ROW]
[ROW][C]T-STAT[/C][C]10.3477885985289[/C][/ROW]
[ROW][C]p-value[/C][C]0.000492259492444801[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195595&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195595&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1918.04661266186
beta0.154093226617868
S.D.0.0148914161852683
T-STAT10.3477885985289
p-value0.000492259492444801







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-14.0377347494761
beta2.12057892850792
S.D.0.258402993365513
T-STAT8.20647973496321
p-value0.0012014631786255
Lambda-1.12057892850792

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -14.0377347494761 \tabularnewline
beta & 2.12057892850792 \tabularnewline
S.D. & 0.258402993365513 \tabularnewline
T-STAT & 8.20647973496321 \tabularnewline
p-value & 0.0012014631786255 \tabularnewline
Lambda & -1.12057892850792 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195595&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.0377347494761[/C][/ROW]
[ROW][C]beta[/C][C]2.12057892850792[/C][/ROW]
[ROW][C]S.D.[/C][C]0.258402993365513[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.20647973496321[/C][/ROW]
[ROW][C]p-value[/C][C]0.0012014631786255[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.12057892850792[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195595&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195595&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-14.0377347494761
beta2.12057892850792
S.D.0.258402993365513
T-STAT8.20647973496321
p-value0.0012014631786255
Lambda-1.12057892850792



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')