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PaperTimDamen

*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: Tue, 01 Feb 2011 14:05:45 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Feb/01/t12965696105gl82lfem0j8ro0.htm/, Retrieved Tue, 01 Feb 2011 15:13:51 +0100

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/2011/Feb/01/t12965696105gl82lfem0j8ro0.htm/},
    year = {2011},
}
@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 = {2011},
    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:

Dataseries X:

» Textbox « » Textfile « » CSV «

349 336 331 327 323 322 385 405 412 411 410 415 414 411 408 410 411 416 479 498 502 498 499 506 510 509 502 495 490 490 553 570 573 572 575 580 580 574 563 556 546 545 605 628 631 626 614 606 602 589 574 558 552 546 607 636 631 623 618 605 619 596 570 546 528 506 555 568 564 553 541 542 540 521 505 491 482 478 523 531 532 540 525 533 531 508 495 482 470 466 515 518 516 511 500 498 494 476 458 443 430 424 476 481 470 460 451 450 444 429 421 400 389 384 432 446 431 423 416 416 413 399 386 374 365 365 418 428 424 421 417 423 423 419 406 398 390 391 444 460 455 456 452 459 461 451 443 439 430 436 488 506 502 501 501 515 521 520 512 509 505 511 570 592 594 586 586 592 594 594 586 586 572 572 563 563 555 555 554 554 601 601 622 622 617 617 606 606 595 595 599 599 600 600 592 592 575 575 567 567 555 555 555 555 608 etc...

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	1 seconds
R Server	'Herman Ole Andreas Wold' @ www.yougetit.org

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	368.833333333333	40.4336343639647	93
2	454.333333333333	45.0481224174031	98
3	534.916666666667	38.1705701325304	90
4	589.5	32.5813666770664	86
5	595.083333333333	31.1578337831853	90
6	557.333333333333	29.7972949758663	113
7	516.75	22.1897806126235	62
8	500.833333333333	19.8898481795629	65
9	459.416666666667	21.0517040266161	70
10	419.25	19.7489930698435	62
11	402.75	24.0156199170457	63
12	429.416666666667	27.9755033534481	70
13	472.75	32.1760074363718	85
14	549.833333333333	39.1589612020575	89
15	570.666666666667	15.7441667889663	40
16	606.666666666667	10.1742396037813	27
17	574	17.949423895541	45
18	619.666666666667	9.31600122305052	23
19	580.5	27.4938009541986	76
20	596	15.4331402566625	41
21	556.666666666667	16.0075739649212	42
22	583.5	16.8927095625195	44
23	533	21.5237712140026	56
24	549.166666666667	23.3114616106379	62
25	498.166666666667	19.8211701944862	52
26	517.166666666667	22.5018517756502	60
27	462.333333333333	20.3395420227932	54
28	486.5	21.7986655137836	61
29	447.5	13.2218826881115	36
30	492	18.2507783146612	42
31	465.5	8.95950485644867	21
32	517.5	5.90069333368392	16
33	510.5	6.31736423748789	18
34	565.666666666667	12.2943692457773	33
35	576.666666666667	29.105867366418	76
36	596.25	21.9757097310148	62
37	588.333333333333	22.7129651934482	69
38	532.583333333333	21.8318296960834	66
39	504.916666666667	19.5794806010287	65
40	554.666666666667	25.5354774002877	73
41	567.25	22.017038856304	67

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	37.3811346022443
beta	-0.0289811727144613
S.D.	0.0231649333853542
T-STAT	-1.25107947570375
p-value	0.218358704496817

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.91104756361017
beta	-0.624163204575246
S.D.	0.594656482112167
T-STAT	-1.04961977772154
p-value	0.300353953988297
Lambda	1.62416320457525

Charts produced by software:

http://www.freestatistics.org/blog/date/2011/Feb/01/t12965696105gl82lfem0j8ro0/1mlht1296569144.png (open in new window)

http://www.freestatistics.org/blog/date/2011/Feb/01/t12965696105gl82lfem0j8ro0/1mlht1296569144.ps (open in new window)

http://www.freestatistics.org/blog/date/2011/Feb/01/t12965696105gl82lfem0j8ro0/2yhty1296569144.png (open in new window)

http://www.freestatistics.org/blog/date/2011/Feb/01/t12965696105gl82lfem0j8ro0/2yhty1296569144.ps (open in new window)

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')

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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