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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 computationTue, 05 Aug 2014 15:15:49 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Aug/05/t1407248190l33g4hfq7xyybce.htm/, Retrieved Thu, 16 May 2024 17:49:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235411, Retrieved Thu, 16 May 2024 17:49:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInes Van Dessel
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Tijdreeks 1 - Stap 3] [2014-08-03 19:11:32] [ae3d1feb555b13e324db089723206180]
- R P   [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:44:37] [74be16979710d4c4e7c6647856088456]
-   P     [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:47:49] [74be16979710d4c4e7c6647856088456]
- RMP       [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-04 16:49:46] [ae3d1feb555b13e324db089723206180]
- R P         [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-05 08:15:03] [74be16979710d4c4e7c6647856088456]
- RMPD          [Harrell-Davis Quantiles] [Tijdreeks 2 - Stap 6] [2014-08-05 08:50:48] [ae3d1feb555b13e324db089723206180]
- RMP             [(Partial) Autocorrelation Function] [Tijdreeks 2 - Sta...] [2014-08-05 13:41:38] [ae3d1feb555b13e324db089723206180]
- RM                  [Standard Deviation-Mean Plot] [Tijdreeks 2 - Sta...] [2014-08-05 14:15:49] [188bf81caccb86647293be436f272d1b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
340
307
380
347
313
333
347
333
387
307
353
407
307
253
380
320
353
353
387
280
387
307
347
427
253
240
407
293
347
360
387
240
333
353
313
440
273
240
407
240
360
373
387
320
373
373
260
420
253
293
413
207
333
440
280
367
380
373
193
373
213
293
407
167
340
447
233
393
333
353
200
413
187
300
413
213
373
453
247
447
340
320
187
380
160
307
400
213
380
453
260
467
380
300
180
427
153
327
393
207
380
440
247
400
360
340
220
393

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235411&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235411&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235411&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1346.16666666666731.785741037977100
2341.7550.167220373467174
3330.565.2192107783087200
4335.565.9276462908736180
5325.41666666666779.7774841023266247
631693.7588783674766280
7321.66666666666796.1999180998832266
8327.25106.401576372465307
9321.66666666666791.9785877585681287

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 346.166666666667 & 31.785741037977 & 100 \tabularnewline
2 & 341.75 & 50.167220373467 & 174 \tabularnewline
3 & 330.5 & 65.2192107783087 & 200 \tabularnewline
4 & 335.5 & 65.9276462908736 & 180 \tabularnewline
5 & 325.416666666667 & 79.7774841023266 & 247 \tabularnewline
6 & 316 & 93.7588783674766 & 280 \tabularnewline
7 & 321.666666666667 & 96.1999180998832 & 266 \tabularnewline
8 & 327.25 & 106.401576372465 & 307 \tabularnewline
9 & 321.666666666667 & 91.9785877585681 & 287 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235411&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]346.166666666667[/C][C]31.785741037977[/C][C]100[/C][/ROW]
[ROW][C]2[/C][C]341.75[/C][C]50.167220373467[/C][C]174[/C][/ROW]
[ROW][C]3[/C][C]330.5[/C][C]65.2192107783087[/C][C]200[/C][/ROW]
[ROW][C]4[/C][C]335.5[/C][C]65.9276462908736[/C][C]180[/C][/ROW]
[ROW][C]5[/C][C]325.416666666667[/C][C]79.7774841023266[/C][C]247[/C][/ROW]
[ROW][C]6[/C][C]316[/C][C]93.7588783674766[/C][C]280[/C][/ROW]
[ROW][C]7[/C][C]321.666666666667[/C][C]96.1999180998832[/C][C]266[/C][/ROW]
[ROW][C]8[/C][C]327.25[/C][C]106.401576372465[/C][C]307[/C][/ROW]
[ROW][C]9[/C][C]321.666666666667[/C][C]91.9785877585681[/C][C]287[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235411&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235411&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
1346.16666666666731.785741037977100
2341.7550.167220373467174
3330.565.2192107783087200
4335.565.9276462908736180
5325.41666666666779.7774841023266247
631693.7588783674766280
7321.66666666666796.1999180998832266
8327.25106.401576372465307
9321.66666666666791.9785877585681287






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha796.549462214669
beta-2.18742791045512
S.D.0.418187528153539
T-STAT-5.2307344509136
p-value0.00121147439035309

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 796.549462214669 \tabularnewline
beta & -2.18742791045512 \tabularnewline
S.D. & 0.418187528153539 \tabularnewline
T-STAT & -5.2307344509136 \tabularnewline
p-value & 0.00121147439035309 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235411&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]796.549462214669[/C][/ROW]
[ROW][C]beta[/C][C]-2.18742791045512[/C][/ROW]
[ROW][C]S.D.[/C][C]0.418187528153539[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.2307344509136[/C][/ROW]
[ROW][C]p-value[/C][C]0.00121147439035309[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235411&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235411&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)
alpha796.549462214669
beta-2.18742791045512
S.D.0.418187528153539
T-STAT-5.2307344509136
p-value0.00121147439035309






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha71.2374952354455
beta-11.5517387521116
S.D.2.13618009072683
T-STAT-5.4076614618111
p-value0.00100023683024076
Lambda12.5517387521116

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 71.2374952354455 \tabularnewline
beta & -11.5517387521116 \tabularnewline
S.D. & 2.13618009072683 \tabularnewline
T-STAT & -5.4076614618111 \tabularnewline
p-value & 0.00100023683024076 \tabularnewline
Lambda & 12.5517387521116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235411&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]71.2374952354455[/C][/ROW]
[ROW][C]beta[/C][C]-11.5517387521116[/C][/ROW]
[ROW][C]S.D.[/C][C]2.13618009072683[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.4076614618111[/C][/ROW]
[ROW][C]p-value[/C][C]0.00100023683024076[/C][/ROW]
[ROW][C]Lambda[/C][C]12.5517387521116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235411&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235411&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)
alpha71.2374952354455
beta-11.5517387521116
S.D.2.13618009072683
T-STAT-5.4076614618111
p-value0.00100023683024076
Lambda12.5517387521116


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')