| IKO opdracht 9 werkloosheid in België Glen Arnouts MAR201B | | *Unverified author* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Tue, 17 May 2011 10:04:55 +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/May/17/t13056265809irfltyboy4n7do.htm/, Retrieved Tue, 17 May 2011 12:03:04 +0200 | | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | KDGP2W92 | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
577
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581
564
558
575
580
575
563
552
537
545
601
604
586
564
549
551
556 | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 476 | NA | NA | 1.33940972222221 | NA | | 2 | 475 | NA | NA | -3.13454861111113 | NA | | 3 | 470 | NA | NA | -12.4991319444445 | NA | | 4 | 461 | NA | NA | -19.0616319444444 | NA | | 5 | 455 | NA | NA | -30.2543402777777 | NA | | 6 | 456 | NA | NA | -26.7907986111111 | NA | | 7 | 517 | 519.230034722222 | 493.291666666667 | 25.9383680555556 | -2.23003472222223 | | 8 | 525 | 529.271701388889 | 496.833333333333 | 32.4383680555555 | -4.27170138888891 | | 9 | 523 | 524.917534722222 | 500.25 | 24.6675347222222 | -1.91753472222217 | | 10 | 519 | 514.032118055556 | 503.916666666667 | 10.1154513888889 | 4.96788194444446 | | 11 | 509 | 503.953993055555 | 507.833333333333 | -3.87934027777779 | 5.04600694444457 | | 12 | 512 | 512.995659722222 | 511.875 | 1.12065972222225 | -0.995659722222229 | | 13 | 519 | 517.506076388889 | 516.166666666667 | 1.33940972222221 | 1.4939236111112 | | 14 | 517 | 517.490451388889 | 520.625 | -3.13454861111113 | -0.490451388888914 | | 15 | 510 | 512.709201388889 | 525.208333333333 | -12.4991319444445 | -2.70920138888891 | | 16 | 509 | 510.355034722222 | 529.416666666667 | -19.0616319444444 | -1.35503472222229 | | 17 | 501 | 502.662326388889 | 532.916666666667 | -30.2543402777777 | -1.66232638888891 | | 18 | 507 | 509.500868055555 | 536.291666666667 | -26.7907986111111 | -2.50086805555554 | | 19 | 569 | 565.813368055556 | 539.875 | 25.9383680555556 | 3.18663194444446 | | 20 | 580 | 575.938368055556 | 543.5 | 32.4383680555555 | 4.06163194444446 | | 21 | 578 | 571.875868055555 | 547.208333333333 | 24.6675347222222 | 6.12413194444457 | | 22 | 565 | 560.657118055556 | 550.541666666667 | 10.1154513888889 | 4.34288194444446 | | 23 | 547 | 549.620659722222 | 553.5 | -3.87934027777779 | -2.62065972222217 | | 24 | 555 | 557.620659722222 | 556.5 | 1.12065972222225 | -2.62065972222217 | | 25 | 562 | 560.381076388889 | 559.041666666667 | 1.33940972222221 | 1.6189236111112 | | 26 | 561 | 558.240451388889 | 561.375 | -3.13454861111113 | 2.7595486111112 | | 27 | 555 | 551.625868055556 | 564.125 | -12.4991319444445 | 3.37413194444446 | | 28 | 544 | 548.438368055555 | 567.5 | -19.0616319444444 | -4.43836805555543 | | 29 | 537 | 541.120659722222 | 571.375 | -30.2543402777777 | -4.12065972222217 | | 30 | 543 | 548.209201388889 | 575 | -26.7907986111111 | -5.2092013888888 | | 31 | 594 | 603.813368055555 | 577.875 | 25.9383680555556 | -9.81336805555543 | | 32 | 611 | 612.688368055556 | 580.25 | 32.4383680555555 | -1.68836805555554 | | 33 | 613 | 607.292534722222 | 582.625 | 24.6675347222222 | 5.70746527777771 | | 34 | 611 | 595.157118055556 | 585.041666666667 | 10.1154513888889 | 15.8428819444445 | | 35 | 594 | 583.620659722222 | 587.5 | -3.87934027777779 | 10.3793402777778 | | 36 | 595 | 590.953993055556 | 589.833333333333 | 1.12065972222225 | 4.04600694444446 | | 37 | 591 | 593.381076388889 | 592.041666666667 | 1.33940972222221 | -2.3810763888888 | | 38 | 589 | 590.782118055556 | 593.916666666667 | -3.13454861111113 | -1.78211805555566 | | 39 | 584 | 582.792534722222 | 595.291666666667 | -12.4991319444445 | 1.20746527777794 | | 40 | 573 | 576.896701388889 | 595.958333333333 | -19.0616319444444 | -3.89670138888891 | | 41 | 567 | 565.787326388889 | 596.041666666667 | -30.2543402777777 | 1.21267361111109 | | 42 | 569 | 569.375868055556 | 596.166666666667 | -26.7907986111111 | -0.375868055555543 | | 43 | 621 | 622.271701388889 | 596.333333333333 | 25.9383680555556 | -1.27170138888891 | | 44 | 629 | 628.896701388889 | 596.458333333333 | 32.4383680555555 | 0.1032986111112 | | 45 | 628 | 621.000868055556 | 596.333333333333 | 24.6675347222222 | 6.99913194444446 | | 46 | 612 | 606.323784722222 | 596.208333333333 | 10.1154513888889 | 5.67621527777783 | | 47 | 595 | 592.620659722222 | 596.5 | -3.87934027777779 | 2.37934027777794 | | 48 | 597 | 598.037326388889 | 596.916666666667 | 1.12065972222225 | -1.03732638888891 | | 49 | 593 | 598.381076388889 | 597.041666666667 | 1.33940972222221 | -5.3810763888888 | | 50 | 590 | 593.740451388889 | 596.875 | -3.13454861111113 | -3.74045138888891 | | 51 | 580 | 583.917534722222 | 596.416666666667 | -12.4991319444445 | -3.91753472222217 | | 52 | 574 | 576.021701388889 | 595.083333333333 | -19.0616319444444 | -2.02170138888891 | | 53 | 573 | 562.620659722222 | 592.875 | -30.2543402777777 | 10.3793402777778 | | 54 | 573 | 564.042534722222 | 590.833333333333 | -26.7907986111111 | 8.95746527777783 | | 55 | 620 | 614.605034722222 | 588.666666666667 | 25.9383680555556 | 5.39496527777783 | | 56 | 626 | 618.063368055556 | 585.625 | 32.4383680555555 | 7.93663194444434 | | 57 | 620 | 606.584201388889 | 581.916666666667 | 24.6675347222222 | 13.4157986111112 | | 58 | 588 | 588.032118055556 | 577.916666666667 | 10.1154513888889 | -0.0321180555555429 | | 59 | 566 | 569.453993055556 | 573.333333333333 | -3.87934027777779 | -3.45399305555554 | | 60 | 577 | 568.787326388889 | 567.666666666667 | 1.12065972222225 | 8.21267361111109 | | 61 | 561 | 563.214409722222 | 561.875 | 1.33940972222221 | -2.21440972222217 | | 62 | 549 | 553.490451388889 | 556.625 | -3.13454861111113 | -4.49045138888891 | | 63 | 532 | 538.334201388889 | 550.833333333333 | -12.4991319444445 | -6.33420138888891 | | 64 | 526 | 525.980034722222 | 545.041666666667 | -19.0616319444444 | 0.019965277777942 | | 65 | 511 | 509.912326388889 | 540.166666666667 | -30.2543402777777 | 1.08767361111109 | | 66 | 499 | 508.417534722222 | 535.208333333333 | -26.7907986111111 | -9.41753472222217 | | 67 | 555 | 556.688368055555 | 530.75 | 25.9383680555556 | -1.68836805555543 | | 68 | 565 | 559.646701388889 | 527.208333333333 | 32.4383680555555 | 5.3532986111112 | | 69 | 542 | 548.542534722222 | 523.875 | 24.6675347222222 | -6.54253472222206 | | 70 | 527 | 530.865451388889 | 520.75 | 10.1154513888889 | -3.8654513888888 | | 71 | 510 | 513.620659722222 | 517.5 | -3.87934027777779 | -3.62065972222206 | | 72 | 514 | 515.995659722222 | 514.875 | 1.12065972222225 | -1.99565972222217 | | 73 | 517 | 514.214409722222 | 512.875 | 1.33940972222221 | 2.78559027777783 | | 74 | 508 | 507.323784722222 | 510.458333333333 | -3.13454861111113 | 0.676215277777828 | | 75 | 493 | 495.667534722222 | 508.166666666667 | -12.4991319444445 | -2.66753472222211 | | 76 | 490 | 487.230034722222 | 506.291666666667 | -19.0616319444444 | 2.76996527777794 | | 77 | 469 | 474.828993055555 | 505.083333333333 | -30.2543402777777 | -5.82899305555549 | | 78 | 478 | 478.042534722222 | 504.833333333333 | -26.7907986111111 | -0.0425347222221149 | | 79 | 528 | 531.313368055555 | 505.375 | 25.9383680555556 | -3.31336805555549 | | 80 | 534 | 539.313368055555 | 506.875 | 32.4383680555555 | -5.31336805555549 | | 81 | 518 | 534.375868055555 | 509.708333333333 | 24.6675347222222 | -16.3758680555554 | | 82 | 506 | 523.573784722222 | 513.458333333333 | 10.1154513888889 | -17.5737847222222 | | 83 | 502 | 513.828993055556 | 517.708333333333 | -3.87934027777779 | -11.8289930555556 | | 84 | 516 | 523.537326388889 | 522.416666666667 | 1.12065972222225 | -7.53732638888891 | | 85 | 528 | 528.631076388889 | 527.291666666667 | 1.33940972222221 | -0.631076388888914 | | 86 | 533 | 529.240451388889 | 532.375 | -3.13454861111113 | 3.75954861111109 | | 87 | 536 | 525.125868055556 | 537.625 | -12.4991319444445 | 10.8741319444445 | | 88 | 537 | 523.605034722222 | 542.666666666667 | -19.0616319444444 | 13.3949652777777 | | 89 | 524 | 517.162326388889 | 547.416666666667 | -30.2543402777777 | 6.83767361111109 | | 90 | 536 | 525.417534722222 | 552.208333333333 | -26.7907986111111 | 10.5824652777776 | | 91 | 587 | 582.771701388889 | 556.833333333333 | 25.9383680555556 | 4.22829861111109 | | 92 | 597 | 593.188368055556 | 560.75 | 32.4383680555555 | 3.81163194444434 | | 93 | 581 | 588.292534722222 | 563.625 | 24.6675347222222 | -7.29253472222229 | | 94 | 564 | 575.490451388889 | 565.375 | 10.1154513888889 | -11.4904513888889 | | 95 | 558 | 562.662326388889 | 566.541666666667 | -3.87934027777779 | -4.66232638888891 | | 96 | 575 | 568.578993055556 | 567.458333333333 | 1.12065972222225 | 6.42100694444434 | | 97 | 580 | 569.756076388889 | 568.416666666667 | 1.33940972222221 | 10.2439236111112 | | 98 | 575 | 566.157118055556 | 569.291666666667 | -3.13454861111113 | 8.84288194444446 | | 99 | 563 | 557.292534722222 | 569.791666666667 | -12.4991319444445 | 5.70746527777771 | | 100 | 552 | 550.938368055556 | 570 | -19.0616319444444 | 1.06163194444446 | | 101 | 537 | 539.370659722222 | 569.625 | -30.2543402777777 | -2.37065972222229 | | 102 | 545 | 541.459201388889 | 568.25 | -26.7907986111111 | 3.54079861111097 | | 103 | 601 | 592.188368055555 | 566.25 | 25.9383680555556 | 8.81163194444457 | | 104 | 604 | NA | NA | 32.4383680555555 | NA | | 105 | 586 | NA | NA | 24.6675347222222 | NA | | 106 | 564 | NA | NA | 10.1154513888889 | NA | | 107 | 549 | NA | NA | -3.87934027777779 | NA | | 108 | 551 | NA | NA | 1.12065972222225 | NA | | 109 | 556 | NA | NA | NA | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/1pt9u1305626692.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/1pt9u1305626692.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/2xcfj1305626692.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/2xcfj1305626692.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/38veu1305626692.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/38veu1305626692.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/4yrsf1305626692.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/17/t13056265809irfltyboy4n7do/4yrsf1305626692.ps (open in new window) |
| | | | Parameters (Session): | | par1 = additive ; par2 = 12 ; | | | | Parameters (R input): | | par1 = additive ; par2 = 12 ; | | | | R code (references can be found in the software module): | par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
| | |
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