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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 computationSun, 18 May 2008 10:11:55 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/18/t1211127166dfum8snafpjwdtw.htm/, Retrieved Tue, 14 May 2024 03:30:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12775, Retrieved Tue, 14 May 2024 03:30:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

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] [oef 8 nr 3 spreid...] [2008-05-18 16:11:55] [7447f24868087d6abebd401b46b50271] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
209
214
265
290
287
270
263
265
252
281
259
312
275
250
312
331
256
247
291
318
296
291
313
311
273
258
361
391
446
433
449
479
460
466
410
415
382
409
496
471
488
584
610
684
626
580
444
552
473
431
513
467
470
455
406
424
406
373
332
310
301
296
333
374
422
424
341
216
319
383
360
400

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12775&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12775&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12775&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1263.91666666666729.4354712837585103
2290.91666666666728.247150566942484
3403.41666666666772.5402187295664221
4527.16666666666793.165379185553302
5421.66666666666760.2575281352438203
6347.41666666666759.8854335503647208

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 263.916666666667 & 29.4354712837585 & 103 \tabularnewline
2 & 290.916666666667 & 28.2471505669424 & 84 \tabularnewline
3 & 403.416666666667 & 72.5402187295664 & 221 \tabularnewline
4 & 527.166666666667 & 93.165379185553 & 302 \tabularnewline
5 & 421.666666666667 & 60.2575281352438 & 203 \tabularnewline
6 & 347.416666666667 & 59.8854335503647 & 208 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12775&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]263.916666666667[/C][C]29.4354712837585[/C][C]103[/C][/ROW]
[ROW][C]2[/C][C]290.916666666667[/C][C]28.2471505669424[/C][C]84[/C][/ROW]
[ROW][C]3[/C][C]403.416666666667[/C][C]72.5402187295664[/C][C]221[/C][/ROW]
[ROW][C]4[/C][C]527.166666666667[/C][C]93.165379185553[/C][C]302[/C][/ROW]
[ROW][C]5[/C][C]421.666666666667[/C][C]60.2575281352438[/C][C]203[/C][/ROW]
[ROW][C]6[/C][C]347.416666666667[/C][C]59.8854335503647[/C][C]208[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12775&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12775&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
1263.91666666666729.4354712837585103
2290.91666666666728.247150566942484
3403.41666666666772.5402187295664221
4527.16666666666793.165379185553302
5421.66666666666760.2575281352438203
6347.41666666666759.8854335503647208






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-36.0242446562206
beta0.248248680145821
S.D.0.0402936133039893
T-STAT6.16099326394346
p-value0.00352271008693761

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -36.0242446562206 \tabularnewline
beta & 0.248248680145821 \tabularnewline
S.D. & 0.0402936133039893 \tabularnewline
T-STAT & 6.16099326394346 \tabularnewline
p-value & 0.00352271008693761 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12775&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-36.0242446562206[/C][/ROW]
[ROW][C]beta[/C][C]0.248248680145821[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0402936133039893[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.16099326394346[/C][/ROW]
[ROW][C]p-value[/C][C]0.00352271008693761[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12775&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12775&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)
alpha-36.0242446562206
beta0.248248680145821
S.D.0.0402936133039893
T-STAT6.16099326394346
p-value0.00352271008693761






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.66547076148016
beta1.79960411487553
S.D.0.323491319425666
T-STAT5.5630677140598
p-value0.00511312319770378
Lambda-0.799604114875532

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.66547076148016 \tabularnewline
beta & 1.79960411487553 \tabularnewline
S.D. & 0.323491319425666 \tabularnewline
T-STAT & 5.5630677140598 \tabularnewline
p-value & 0.00511312319770378 \tabularnewline
Lambda & -0.799604114875532 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12775&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.66547076148016[/C][/ROW]
[ROW][C]beta[/C][C]1.79960411487553[/C][/ROW]
[ROW][C]S.D.[/C][C]0.323491319425666[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.5630677140598[/C][/ROW]
[ROW][C]p-value[/C][C]0.00511312319770378[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.799604114875532[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12775&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12775&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-6.66547076148016
beta1.79960411487553
S.D.0.323491319425666
T-STAT5.5630677140598
p-value0.00511312319770378
Lambda-0.799604114875532


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')