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TIJDREEKS A - STAP 26

*Unverified author*

R Software Module: /rwasp_smp.wasp (opens new window with default values)

Title produced by software: Standard Deviation-Mean Plot

Date of computation: Mon, 26 Jul 2010 17:33:51 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj.htm/, Retrieved Mon, 26 Jul 2010 19:33:41 +0200

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Hoes Isabelle

Dataseries X:

» Textbox « » Textfile « » CSV «

698 697 696 694 714 713 698 688 689 689 690 692 688 679 677 673 694 690 673 659 657 654 644 643 638 626 621 615 640 633 620 610 601 595 585 584 580 574 560 550 580 569 551 536 535 526 517 512 510 501 496 491 524 514 495 479 479 467 451 459 461 460 452 449 483 470 442 419 419 406 393 396 390 389 373 371 407 391 357 327 321 317 300 304 296 296 283 279 319 295 255 227 228 233 210 219 212 209 201 198 245 216 173 144 143 152 127 141 129 127 113 117 174 143 103 81 92 104 81 89

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	696.25	1.70782512765993	4
2	703.25	12.5266382827424	26
3	690	1.41421356237310	3
4	679.25	6.34428877022476	15
5	679	16.1451747177498	35
6	649.5	7.04745817062199	14
7	625	9.76387901058454	23
8	625.75	13.3759734848222	30
9	591.25	8.18026079453868	17
10	566	13.5646599662505	30
11	559	19.4422220952236	44
12	522.5	10.1488915650922	23
13	499.5	8.10349718742881	19
14	503	20.0166597280032	45
15	464	11.9443152447793	28
16	455.5	5.91607978309962	12
17	453.5	28.6647286166583	64
18	403.5	11.7331439378654	26
19	380.75	10.1447851956888	19
20	370.5	35.7164761233057	80
21	310.5	10.0829889748361	21
22	288.5	8.81286937760152	17
23	274	40.9715348341585	92
24	222.5	10.1488915650922	23
25	205	6.58280588604383	14
26	194.5	44.8144321991625	101
27	140.75	10.3400515794974	25
28	121.5	7.72442015083764	16
29	125.25	41.4115523334572	93
30	91.5	9.53939201416946	23

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	23.9703262287886
beta	-0.0211427451366656
S.D.	0.0103841142092862
T-STAT	-2.03606631346161
p-value	0.0513032360208188

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.73370622739984
beta	-0.390377442782828
S.D.	0.238127496653785
T-STAT	-1.63936314902097
p-value	0.112326791283919
Lambda	1.39037744278283

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj/1d9bn1280165627.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj/1d9bn1280165627.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj/2d9bn1280165627.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Jul/26/t1280165621fyocc2pzs9drgxj/2d9bn1280165627.ps (open in new window)

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')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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