| Paper | | *The author of this computation has been verified* | | R Software Module: /rwasp_decomposeloess.wasp (opens new window with default values) | | Title produced by software: Decomposition by Loess | | Date of computation: Sun, 12 Dec 2010 17:47:32 +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/Dec/12/t12921759325dk9blonbfae1fx.htm/, Retrieved Sun, 12 Dec 2010 18:45:37 +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/2010/Dec/12/t12921759325dk9blonbfae1fx.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: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 25.2609
16.8622
13.3181
12.5621
14.2754
12.2961
10.0871
13.5117
13.9921
13.6932
14.4211
15.3397
16.5182
15.2809
15.6204
15.5698
15.9458
16.4063
17.55
17.0353
16.0591
16.3643
14.6527
13.4664
13.3266
13.1823
12.113
13.354
13.4537
13.2715
13.1959
13.5542
12.124
10.967
10.9201
12.5971
14.3177
14.2471
16.0926
17.1334
16.5866
16.361
15.8494
15.5932
16.6387
16.8312
16.5044
16.5556
16.7469
15.9543
15.5888
14.3945
13.8889
12.9999
14.1022
19.6245
24.7658
25.9843
22.9635
19.6288
17.3363
13.311
14.6359
15.834
16.2415
15.9808
16.9726
16.8708
16.923
18.1138
16.7716
14.0299
13.822
14.2537
14.3985
15.2454
15.6683
16.1721
14.8679
14.1948
14.7056
15.3819
15.5001
14.7886
14.563
15.5528
15.9781
15.5139
15.3603
15.0512
14.7874
14.9624
13.9188
14.5146
13.7115
12.0738
12.5688
12.2547
11.8741
13.0261
13.8681
14.2137
14.4743
13.9764
13.1558
13.0991
13.7831
13.2546
13.3426
13.5011
12.8245
13.6596
13.8754
12.9011
11.871
12 etc... | | | | Output produced by software: |
| Seasonal Decomposition by Loess - Parameters | | Component | Window | Degree | Jump | | Seasonal | 2961 | 0 | 297 | | Trend | 19 | 1 | 2 | | Low-pass | 13 | 1 | 2 |
| Seasonal Decomposition by Loess - Time Series Components | | t | Observed | Fitted | Seasonal | Trend | Remainder | | 1 | 25.2609 | 34.7548426479062 | -1.28780867721631 | 17.0547660293101 | 9.49394264790624 | | 2 | 16.8622 | 18.6809405199992 | -1.5272108487676 | 16.5706703287684 | 1.81874051999921 | | 3 | 13.3181 | 11.3818397937529 | -0.83221442197967 | 16.0865746282267 | -1.93626020624706 | | 4 | 12.5621 | 9.47939192367384 | -0.0543075396441059 | 15.6991156159703 | -3.08270807632616 | | 5 | 14.2754 | 12.5955432074788 | 0.64360018880735 | 15.3116566037138 | -1.67985679252116 | | 6 | 12.2961 | 8.54260377089653 | 1.07437789247777 | 14.9752183366257 | -3.75349622910347 | | 7 | 10.0871 | 4.51834653113053 | 1.01707339933189 | 14.6387800695376 | -5.56875346886947 | | 8 | 13.5117 | 11.2189109591672 | 1.45608952061303 | 14.3483995202198 | -2.29278904083281 | | 9 | 13.9921 | 12.6092280604797 | 1.31695296861827 | 14.0580189709020 | -1.38287193952025 | | 10 | 13.6932 | 12.5665385235978 | 0.58564872624222 | 14.23421275016 | -1.12666147640221 | | 11 | 14.4211 | 14.9583285049365 | -0.526535034354538 | 14.410406529418 | 0.537228504936536 | | 12 | 15.3397 | 17.7460620497988 | -1.86566573318656 | 14.7990036833878 | 2.40636204979877 | | 13 | 16.5182 | 19.1366078398587 | -1.28780867721631 | 15.1876008373576 | 2.61840783985872 | | 14 | 15.2809 | 16.6038803010794 | -1.5272108487676 | 15.4851305476882 | 1.32298030107943 | | 15 | 15.6204 | 16.2903541639609 | -0.83221442197967 | 15.7826602580188 | 0.669954163960915 | | 16 | 15.5698 | 15.3394441950841 | -0.0543075396441059 | 15.85446334456 | -0.230355804915893 | | 17 | 15.9458 | 15.3217333800914 | 0.64360018880735 | 15.9262664311012 | -0.624066619908593 | | 18 | 16.4063 | 15.9263602322985 | 1.07437789247777 | 15.8118618752237 | -0.479939767701479 | | 19 | 17.55 | 18.3854692813219 | 1.01707339933189 | 15.6974573193462 | 0.835469281321934 | | 20 | 17.0353 | 17.1069343038985 | 1.45608952061303 | 15.5075761754884 | 0.0716343038985414 | | 21 | 16.0591 | 15.4835519997511 | 1.31695296861827 | 15.3176950316307 | -0.575548000248949 | | 22 | 16.3643 | 17.0421592003958 | 0.58564872624222 | 15.100792073362 | 0.677859200395767 | | 23 | 14.6527 | 14.9480459192612 | -0.526535034354538 | 14.8838891150933 | 0.295345919261191 | | 24 | 13.4664 | 14.1897231016740 | -1.86566573318656 | 14.6087426315126 | 0.723323101673984 | | 25 | 13.3266 | 13.6074125292845 | -1.28780867721631 | 14.3335961479318 | 0.280812529284496 | | 26 | 13.1823 | 13.8992511071623 | -1.5272108487676 | 13.9925597416053 | 0.716951107162297 | | 27 | 12.113 | 11.4066910867009 | -0.83221442197967 | 13.6515233352788 | -0.706308913299122 | | 28 | 13.354 | 13.4532941104407 | -0.0543075396441059 | 13.3090134292034 | 0.099294110440665 | | 29 | 13.4537 | 13.2972962880646 | 0.64360018880735 | 12.9665035231281 | -0.156403711935434 | | 30 | 13.2715 | 12.6689932776952 | 1.07437789247777 | 12.7996288298271 | -0.602506722304849 | | 31 | 13.1959 | 12.7419724641420 | 1.01707339933189 | 12.6327541365261 | -0.453927535857957 | | 32 | 13.5542 | 12.9040567877038 | 1.45608952061303 | 12.7482536916832 | -0.650143212296213 | | 33 | 12.124 | 10.0672937845414 | 1.31695296861827 | 12.8637532468403 | -2.05670621545856 | | 34 | 10.967 | 8.1738411353461 | 0.58564872624222 | 13.1745101384117 | -2.79315886465389 | | 35 | 10.9201 | 8.88146800437149 | -0.526535034354538 | 13.4852670299830 | -2.03863199562851 | | 36 | 12.5971 | 13.2250175691544 | -1.86566573318656 | 13.8348481640322 | 0.627917569154357 | | 37 | 14.3177 | 15.7387793791350 | -1.28780867721631 | 14.1844292980814 | 1.42107937913495 | | 38 | 14.2471 | 15.4968393968647 | -1.5272108487676 | 14.5245714519029 | 1.24973939686469 | | 39 | 16.0926 | 18.1527008162552 | -0.83221442197967 | 14.8647136057245 | 2.06010081625522 | | 40 | 17.1334 | 19.1297025314069 | -0.0543075396441059 | 15.1914050082372 | 1.99630253140694 | | 41 | 16.5866 | 17.0115034004428 | 0.64360018880735 | 15.5180964107499 | 0.424903400442775 | | 42 | 16.361 | 15.8874799399414 | 1.07437789247777 | 15.7601421675809 | -0.473520060058643 | | 43 | 15.8494 | 14.6795386762562 | 1.01707339933189 | 16.0021879244119 | -1.16986132374376 | | 44 | 15.5932 | 13.6214208177235 | 1.45608952061303 | 16.1088896616635 | -1.97177918227652 | | 45 | 16.6387 | 15.7448556324666 | 1.31695296861827 | 16.2155913989151 | -0.893844367533385 | | 46 | 16.8312 | 16.9044834417858 | 0.58564872624222 | 16.172267831972 | 0.0732834417857795 | | 47 | 16.5044 | 17.4063907693257 | -0.526535034354538 | 16.1289442650289 | 0.901990769325653 | | 48 | 16.5556 | 18.9524444947700 | -1.86566573318656 | 16.0244212384165 | 2.39684449477005 | | 49 | 16.7469 | 18.8617104654122 | -1.28780867721631 | 15.9198982118041 | 2.11481046541217 | | 50 | 15.9543 | 17.3910520389926 | -1.5272108487676 | 16.0447588097750 | 1.43675203899255 | | 51 | 15.5888 | 15.8401950142337 | -0.83221442197967 | 16.1696194077460 | 0.251395014233715 | | 52 | 14.3945 | 12.2648052945705 | -0.0543075396441059 | 16.5785022450736 | -2.12969470542947 | | 53 | 13.8889 | 10.1468147287915 | 0.64360018880735 | 16.9873850824012 | -3.74208527120854 | | 54 | 12.9999 | 7.54204020354996 | 1.07437789247777 | 17.3833819039723 | -5.45785979645004 | | 55 | 14.1022 | 9.40794787512476 | 1.01707339933189 | 17.7793787255433 | -4.69425212487524 | | 56 | 19.6245 | 19.7880718872003 | 1.45608952061303 | 18.0048385921866 | 0.163571887200337 | | 57 | 24.7658 | 29.9843485725518 | 1.31695296861827 | 18.2302984588299 | 5.21854857255181 | | 58 | 25.9843 | 32.9962595499514 | 0.58564872624222 | 18.3866917238064 | 7.0119595499514 | | 59 | 22.9635 | 27.9104500455717 | -0.526535034354538 | 18.5430849887828 | 4.9469500455717 | | 60 | 19.6288 | 22.5978543859592 | -1.86566573318656 | 18.5254113472273 | 2.96905438595925 | | 61 | 17.3363 | 17.4526709715445 | -1.28780867721631 | 18.5077377056718 | 0.116370971544519 | | 62 | 13.311 | 10.0355935943252 | -1.5272108487676 | 18.1136172544424 | -3.27540640567475 | | 63 | 14.6359 | 12.3845176187668 | -0.83221442197967 | 17.7194968032129 | -2.25138238123324 | | 64 | 15.834 | 14.546561899172 | -0.0543075396441059 | 17.1757456404721 | -1.28743810082801 | | 65 | 16.2415 | 15.2074053334613 | 0.64360018880735 | 16.6319944777313 | -1.03409466653867 | | 66 | 15.9808 | 14.5614149541 | 1.07437789247777 | 16.3258071534222 | -1.41938504590000 | | 67 | 16.9726 | 16.9085067715550 | 1.01707339933189 | 16.0196198291131 | -0.0640932284450333 | | 68 | 16.8708 | 16.3317423397752 | 1.45608952061303 | 15.9537681396118 | -0.539057660224817 | | 69 | 16.923 | 16.6411305812713 | 1.31695296861827 | 15.8879164501104 | -0.281869418728698 | | 70 | 18.1138 | 19.7740293158399 | 0.58564872624222 | 15.8679219579179 | 1.66022931583991 | | 71 | 16.7716 | 18.2218075686292 | -0.526535034354538 | 15.8479274657253 | 1.45020756862922 | | 72 | 14.0299 | 14.1617224217161 | -1.86566573318656 | 15.7637433114705 | 0.131822421716102 | | 73 | 13.822 | 13.2522495200007 | -1.28780867721631 | 15.6795591572156 | -0.569750479999291 | | 74 | 14.2537 | 14.5469085256589 | -1.5272108487676 | 15.4877023231087 | 0.293208525658878 | | 75 | 14.3985 | 14.3333689329778 | -0.83221442197967 | 15.2958454890018 | -0.0651310670221736 | | 76 | 15.2454 | 15.4316725489171 | -0.0543075396441059 | 15.113434990727 | 0.186272548917097 | | 77 | 15.6683 | 15.7619753187405 | 0.64360018880735 | 14.9310244924522 | 0.0936753187404786 | | 78 | 16.1721 | 16.3777085408092 | 1.07437789247777 | 14.892113566713 | 0.20560854080923 | | 79 | 14.8679 | 13.8655239596943 | 1.01707339933189 | 14.8532026409738 | -1.00237604030571 | | 80 | 14.1948 | 11.9922838764544 | 1.45608952061303 | 14.9412266029326 | -2.20251612354565 | | 81 | 14.7056 | 13.0649964664903 | 1.31695296861827 | 15.0292505648914 | -1.64060353350968 | | 82 | 15.3819 | 15.0564535081922 | 0.58564872624222 | 15.1216977655656 | -0.325446491807801 | | 83 | 15.5001 | 16.3125900681148 | -0.526535034354538 | 15.2141449662397 | 0.812490068114789 | | 84 | 14.7886 | 16.1804995297739 | -1.86566573318656 | 15.2623662034127 | 1.39189952977388 | | 85 | 14.563 | 15.1032212366307 | -1.28780867721631 | 15.3105874405856 | 0.540221236630698 | | 86 | 15.5528 | 17.3575746164735 | -1.5272108487676 | 15.2752362322941 | 1.80477461647348 | | 87 | 15.9781 | 17.5485293979770 | -0.83221442197967 | 15.2398850240026 | 1.57042939797703 | | 88 | 15.5139 | 15.9939490873012 | -0.0543075396441059 | 15.0881584523429 | 0.480049087301177 | | 89 | 15.3603 | 15.1405679305094 | 0.64360018880735 | 14.9364318806832 | -0.219732069490563 | | 90 | 15.0512 | 14.3226223409633 | 1.07437789247777 | 14.7053997665589 | -0.7285776590367 | | 91 | 14.7874 | 14.0833589482335 | 1.01707339933189 | 14.4743676524346 | -0.704041051766531 | | 92 | 14.9624 | 14.2289618994744 | 1.45608952061303 | 14.2397485799126 | -0.7334381005256 | | 93 | 13.9188 | 12.5155175239912 | 1.31695296861827 | 14.0051295073905 | -1.40328247600877 | | 94 | 14.5146 | 14.6122875702571 | 0.58564872624222 | 13.8312637035007 | 0.0976875702571238 | | 95 | 13.7115 | 14.2921371347437 | -0.526535034354538 | 13.6573978996108 | 0.580637134743725 | | 96 | 12.0738 | 12.4379261804401 | -1.86566573318656 | 13.5753395527465 | 0.364126180440055 | | 97 | 12.5688 | 12.9321274713341 | -1.28780867721631 | 13.4932812058822 | 0.363327471334104 | | 98 | 12.2547 | 12.6156483119039 | -1.5272108487676 | 13.4209625368637 | 0.360948311903869 | | 99 | 11.8741 | 11.2317705541344 | -0.83221442197967 | 13.3486438678453 | -0.642329445865583 | | 100 | 13.0261 | 12.8231681466231 | -0.0543075396441059 | 13.2833393930210 | -0.202931853376937 | | 101 | 13.8681 | 13.8745648929958 | 0.64360018880735 | 13.2180349181968 | 0.0064648929958242 | | 102 | 14.2137 | 14.1178163458869 | 1.07437789247777 | 13.2352057616354 | -0.0958836541131252 | | 103 | 14.4743 | 14.6791499955942 | 1.01707339933189 | 13.2523766050739 | 0.204849995594230 | | 104 | 13.9764 | 13.1502474566757 | 1.45608952061303 | 13.3464630227113 | -0.826152543324323 | | 105 | 13.1558 | 11.5540975910330 | 1.31695296861827 | 13.4405494403487 | -1.60170240896697 | | 106 | 13.0991 | 12.1024623692207 | 0.58564872624222 | 13.5100889045371 | -0.99663763077929 | | 107 | 13.7831 | 14.5131066656291 | -0.526535034354538 | 13.5796283687254 | 0.730006665629102 | | 108 | 13.2546 | 14.8299184172841 | -1.86566573318656 | 13.5449473159025 | 1.57531841728411 | | 109 | 13.3426 | 14.4627424141368 | -1.28780867721631 | 13.5102662630795 | 1.12014241413684 | | 110 | 13.5011 | 15.1421814737657 | -1.5272108487676 | 13.3872293750019 | 1.64108147376575 | | 111 | 12.8245 | 13.2170219350554 | -0.83221442197967 | 13.2641924869242 | 0.392521935055436 | | 112 | 13.6596 | 14.2605635421497 | -0.0543075396441059 | 13.1129439974944 | 0.60096354214971 | | 113 | 13.8754 | 14.1455043031281 | 0.64360018880735 | 12.9616955080646 | 0.270104303128097 | | 114 | 12.9011 | 11.8515738109204 | 1.07437789247777 | 12.8762482966018 | -1.04952618907958 | | 115 | 11.871 | 9.93412551552906 | 1.01707339933189 | 12.7908010851390 | -1.93687448447094 | | 116 | 12.3954 | 10.4795363617975 | 1.45608952061303 | 12.8551741175895 | -1.91586363820249 | | 117 | 12.8179 | 11.3992998813419 | 1.31695296861827 | 12.9195471500399 | -1.41860011865814 | | 118 | 12.1219 | 10.5404303710743 | 0.58564872624222 | 13.1177209026835 | -1.5814696289257 | | 119 | 12.6176 | 12.4458403790275 | -0.526535034354538 | 13.3158946553271 | -0.171759620972546 | | 120 | 13.6362 | 15.5623556099088 | -1.86566573318656 | 13.5757101232778 | 1.92615560990881 | | 121 | 13.5422 | 14.5366830859879 | -1.28780867721631 | 13.8355255912284 | 0.994483085987888 | | 122 | 13.362 | 14.1093691882367 | -1.5272108487676 | 14.1418416605309 | 0.747369188236707 | | 123 | 14.5735 | 15.5310566921463 | -0.83221442197967 | 14.4481577298334 | 0.957556692146307 | | 124 | 15.8357 | 16.9182547700452 | -0.0543075396441059 | 14.8074527695989 | 1.08255477004524 | | 125 | 14.9927 | 14.1750520018283 | 0.64360018880735 | 15.1667478093644 | -0.817647998171722 | | 126 | 14.5078 | 12.3676483994360 | 1.07437789247777 | 15.5735737080863 | -2.14015160056404 | | 127 | 15.2648 | 13.5321269938599 | 1.01707339933189 | 15.9803996068082 | -1.73267300614006 | | 128 | 15.7163 | 13.6156190263274 | 1.45608952061303 | 16.3608914530596 | -2.10068097367264 | | 129 | 17.7969 | 17.5354637320707 | 1.31695296861827 | 16.7413832993110 | -0.261436267929319 | | 130 | 19.0408 | 20.4889790434068 | 0.58564872624222 | 17.006972230351 | 1.44817904340677 | | 131 | 17.8571 | 18.9681738729636 | -0.526535034354538 | 17.2725611613910 | 1.11107387296357 | | 132 | 18.815 | 22.0908173167710 | -1.86566573318656 | 17.4048484164155 | 3.27581731677102 | | 133 | 19.0961 | 21.9428730057762 | -1.28780867721631 | 17.5371356714401 | 2.84677300577619 | | 134 | 17.6215 | 19.2644417955922 | -1.5272108487676 | 17.5057690531754 | 1.6429417955922 | | 135 | 17.0163 | 17.390411987069 | -0.83221442197967 | 17.4744024349107 | 0.374111987068996 | | 136 | 15.8286 | 14.4116675729643 | -0.0543075396441059 | 17.2998399666798 | -1.41693242703572 | | 137 | 16.7818 | 15.7947223127437 | 0.64360018880735 | 17.1252774984490 | -0.987077687256328 | | 138 | 15.8726 | 13.7814692679822 | 1.07437789247777 | 16.88935283954 | -2.09113073201778 | | 139 | 16.6621 | 15.6536984200371 | 1.01707339933189 | 16.6534281806310 | -1.00840157996292 | | 140 | 17.5709 | 17.2711501260737 | 1.45608952061303 | 16.4145603533133 | -0.299749873926324 | | 141 | 16.9914 | 16.4901545053862 | 1.31695296861827 | 16.1756925259956 | -0.501245494613825 | | 142 | 18.0412 | 19.5675388838500 | 0.58564872624222 | 15.9292123899077 | 1.52633888385004 | | 143 | 16.9764 | 18.7966027805346 | -0.526535034354538 | 15.6827322538199 | 1.82020278053462 | | 144 | 15.7649 | 18.0677767010845 | -1.86566573318656 | 15.3276890321021 | 2.30287670108449 | | 145 | 14.3928 | 15.1007628668321 | -1.28780867721631 | 14.9726458103842 | 0.707962866832077 | | 146 | 13.5061 | 14.080171022468 | -1.5272108487676 | 14.4592398262996 | 0.574071022467994 | | 147 | 12.7433 | 12.3729805797647 | -0.83221442197967 | 13.9458338422150 | -0.37031942023531 | | 148 | 13.017 | 12.7324187372157 | -0.0543075396441059 | 13.3558888024285 | -0.284581262784348 | | 149 | 13.0171 | 12.6246560485507 | 0.64360018880735 | 12.7659437626419 | -0.392443951449275 | | 150 | 12.2412 | 11.1539938584804 | 1.07437789247777 | 12.2540282490418 | -1.08720614151962 | | 151 | 11.8878 | 11.0164138652263 | 1.01707339933189 | 11.7421127354418 | -0.871386134773662 | | 152 | 11.2511 | 9.57197315402524 | 1.45608952061303 | 11.4741373253617 | -1.67912684597476 | | 153 | 11.8583 | 11.1934851161000 | 1.31695296861827 | 11.2061619152817 | -0.664814883899959 | | 154 | 11.1202 | 10.4042019728557 | 0.58564872624222 | 11.2505493009021 | -0.715998027144321 | | 155 | 10.185 | 9.60159834783202 | -0.526535034354538 | 11.2949366865225 | -0.583401652167977 | | 156 | 8.7563 | 7.7346222818868 | -1.86566573318656 | 11.6436434512998 | -1.02167771811320 | | 157 | 9.5267 | 8.3488584611393 | -1.28780867721631 | 11.9923502160770 | -1.17784153886071 | | 158 | 9.4106 | 7.71715797932275 | -1.5272108487676 | 12.6312528694449 | -1.69344202067725 | | 159 | 11.878 | 11.3180588991670 | -0.83221442197967 | 13.2701555228127 | -0.559941100833015 | | 160 | 14.4228 | 14.7009275449819 | -0.0543075396441059 | 14.1989799946622 | 0.278127544981862 | | 161 | 14.896 | 14.0205953446809 | 0.64360018880735 | 15.1278044665118 | -0.87540465531915 | | 162 | 15.6664 | 13.9109892122387 | 1.07437789247777 | 16.3474328952835 | -1.75541078776126 | | 163 | 18.147 | 17.7098652766129 | 1.01707339933189 | 17.5670613240552 | -0.437134723387079 | | 164 | 19.3069 | 18.2359894277857 | 1.45608952061303 | 18.9217210516013 | -1.07091057221430 | | 165 | 21.6807 | 21.7680662522344 | 1.31695296861827 | 20.2763807791474 | 0.0873662522343785 | | 166 | 20.7934 | 19.4436011216251 | 0.58564872624222 | 21.5575501521327 | -1.34979887837488 | | 167 | 23.4241 | 24.5360155092366 | -0.526535034354538 | 22.8387195251180 | 1.11191550923657 | | 168 | 24.8273 | 27.4942926676954 | -1.86566573318656 | 24.0259730654912 | 2.66699266769541 | | 169 | 24.9276 | 25.9297820713520 | -1.28780867721631 | 25.2132266058643 | 1.00218207135197 | | 170 | 27.4256 | 30.0232102021303 | -1.5272108487676 | 26.3552006466373 | 2.59761020213032 | | 171 | 28.1746 | 29.6842397345695 | -0.83221442197967 | 27.4971746874102 | 1.50963973456946 | | 172 | 24.5615 | 20.6197859111312 | -0.0543075396441059 | 28.5575216285129 | -3.94171408886882 | | 173 | 30.2532 | 30.244931241577 | 0.64360018880735 | 29.6178685696156 | -0.00826875842298236 | | 174 | 31.2514 | 31.110438964178 | 1.07437789247777 | 30.3179831433442 | -0.140961035821977 | | 175 | 30.4733 | 28.9114288835953 | 1.01707339933189 | 31.0180977170728 | -1.56187111640467 | | 176 | 33.3047 | 33.7956233500820 | 1.45608952061303 | 31.3576871293049 | 0.490923350082038 | | 177 | 37.2103 | 41.4063704898447 | 1.31695296861827 | 31.6972765415371 | 4.19607048984466 | | 178 | 36.7711 | 41.0907631152536 | 0.58564872624222 | 31.8657881585041 | 4.31966311525363 | | 179 | 37.7163 | 43.9248352588833 | -0.526535034354538 | 32.0342997754712 | 6.20853525888331 | | 180 | 28.8488 | 27.5949173496435 | -1.86566573318656 | 31.9683483835430 | -1.25388265035648 | | 181 | 27.4682 | 24.3218116856014 | -1.28780867721631 | 31.9023969916149 | -3.14638831439856 | | 182 | 29.8793 | 29.8544825307198 | -1.5272108487676 | 31.4313283180478 | -0.0248174692802152 | | 183 | 28.0598 | 25.9915547774989 | -0.83221442197967 | 30.9602596444808 | -2.06824522250109 | | 184 | 29.7733 | 29.4467772834105 | -0.0543075396441059 | 30.1541302562336 | -0.326522716589459 | | 185 | 32.6926 | 35.3935989432063 | 0.64360018880735 | 29.3480008679864 | 2.70099894320629 | | 186 | 32.4803 | 35.2875269304443 | 1.07437789247777 | 28.5986951770779 | 2.80722693044431 | | 187 | 29.4168 | 29.9671371144986 | 1.01707339933189 | 27.8493894861695 | 0.550337114498642 | | 188 | 28.7054 | 28.5992003512509 | 1.45608952061303 | 27.3555101281361 | -0.106199648749104 | | 189 | 28.7614 | 29.3442162612790 | 1.31695296861827 | 26.8616307701027 | 0.582816261279046 | | 190 | 23.8075 | 20.4899823301289 | 0.58564872624222 | 26.5393689436288 | -3.31751766987107 | | 191 | 21.6987 | 17.7068279171995 | -0.526535034354538 | 26.217107117155 | -3.99187208280048 | | 192 | 21.4691 | 18.8252620269937 | -1.86566573318656 | 25.9786037061929 | -2.64383797300631 | | 193 | 22.5709 | 20.6895083819856 | -1.28780867721631 | 25.7401002952307 | -1.88139161801443 | | 194 | 23.4546 | 22.7180431652393 | -1.5272108487676 | 25.7183676835283 | -0.736556834760737 | | 195 | 27.8976 | 30.9307793501537 | -0.83221442197967 | 25.6966350718259 | 3.03317935015374 | | 196 | 29.2965 | 32.7481508519133 | -0.0543075396441059 | 25.8991566877309 | 3.45165085191325 | | 197 | 28.1191 | 29.4929215075569 | 0.64360018880735 | 26.1016783036358 | 1.37382150755685 | | 198 | 25.812 | 24.1420023650216 | 1.07437789247777 | 26.4076197425007 | -1.66999763497844 | | 199 | 25.931 | 24.1313654193026 | 1.01707339933189 | 26.7135611813655 | -1.79963458069744 | | 200 | 26.9925 | 25.6264064020317 | 1.45608952061303 | 26.9025040773553 | -1.36609359796834 | | 201 | 28.9213 | 29.4342000580367 | 1.31695296861827 | 27.0914469733451 | 0.512900058036657 | | 202 | 27.8898 | 28.1940667754494 | 0.58564872624222 | 26.9998844983084 | 0.304266775449349 | | 203 | 24.2473 | 22.1128130110827 | -0.526535034354538 | 26.9083220232718 | -2.13448698891726 | | 204 | 27.1056 | 29.3927857768512 | -1.86566573318656 | 26.6840799563354 | 2.28718577685118 | | 205 | 28.2833 | 31.3945707878173 | -1.28780867721631 | 26.4598378893990 | 3.11127078781734 | | 206 | 29.8076 | 34.9542918930367 | -1.5272108487676 | 26.1881189557309 | 5.14669189303666 | | 207 | 27.1826 | 29.2810143999168 | -0.83221442197967 | 25.9164000220629 | 2.09841439991677 | | 208 | 22.8764 | 20.2051865947035 | -0.0543075396441059 | 25.6019209449406 | -2.67121340529647 | | 209 | 21.938 | 17.9449579433744 | 0.64360018880735 | 25.2874418678183 | -3.99304205662560 | | 210 | 23.3076 | 20.5547874721157 | 1.07437789247777 | 24.9860346354066 | -2.75281252788433 | | 211 | 24.9572 | 24.2126991976732 | 1.01707339933189 | 24.6846274029949 | -0.744500802326758 | | 212 | 26.4694 | 26.9051421915246 | 1.45608952061303 | 24.5775682878624 | 0.435742191524554 | | 213 | 23.9297 | 22.0719378586518 | 1.31695296861827 | 24.4705091727300 | -1.85776214134824 | | 214 | 24.7033 | 24.0429134162069 | 0.58564872624222 | 24.7780378575509 | -0.660386583793088 | | 215 | 24.646 | 24.7329684919828 | -0.526535034354538 | 25.0855665423718 | 0.0869684919827698 | | 216 | 24.0496 | 24.3284940498140 | -1.86566573318656 | 25.6363716833726 | 0.278894049813950 | | 217 | 24.2096 | 23.5198318528428 | -1.28780867721631 | 26.1871768243735 | -0.68976814715716 | | 218 | 24.0717 | 22.7759954925 | -1.5272108487676 | 26.8946153562676 | -1.29570450750002 | | 219 | 26.6673 | 26.5647605338179 | -0.83221442197967 | 27.6020538881618 | -0.102539466182098 | | 220 | 27.6457 | 26.8611724075808 | -0.0543075396441059 | 28.4845351320633 | -0.784527592419163 | | 221 | 30.8791 | 31.7475834352279 | 0.64360018880735 | 29.3670163759648 | 0.868483435227876 | | 222 | 29.3278 | 27.3525037556679 | 1.07437789247777 | 30.2287183518543 | -1.97529624433209 | | 223 | 30.7268 | 29.3461062729243 | 1.01707339933189 | 31.0904203277438 | -1.38069372707574 | | 224 | 34.1204 | 34.7813671474374 | 1.45608952061303 | 32.0033433319496 | 0.660967147437354 | | 225 | 35.0205 | 35.8077806952264 | 1.31695296861827 | 32.9162663361554 | 0.787280695226364 | | 226 | 39.3565 | 44.1965272300423 | 0.58564872624222 | 33.9308240437155 | 4.84002723004229 | | 227 | 34.4724 | 34.5259532830789 | -0.526535034354538 | 34.9453817512756 | 0.0535532830789194 | | 228 | 29.9762 | 25.7052529437034 | -1.86566573318656 | 36.1128127894831 | -4.27094705629658 | | 229 | 33.6008 | 31.2091648495256 | -1.28780867721631 | 37.2802438276907 | -2.39163515047435 | | 230 | 35.2464 | 33.4281410448327 | -1.5272108487676 | 38.5918698039349 | -1.81825895516728 | | 231 | 40.4137 | 41.7561186418006 | -0.83221442197967 | 39.9034957801791 | 1.34241864180056 | | 232 | 41.3922 | 41.586466232145 | -0.0543075396441059 | 41.2522413074991 | 0.194266232144962 | | 233 | 39.4243 | 35.6040129763735 | 0.64360018880735 | 42.6009868348192 | -3.82028702362653 | | 234 | 45.7259 | 46.3757742667176 | 1.07437789247777 | 44.0016478408047 | 0.649874266717553 | | 235 | 48.2549 | 50.0904177538779 | 1.01707339933189 | 45.4023088467902 | 1.83551775387794 | | 236 | 52.0461 | 55.8957826938656 | 1.45608952061303 | 46.7403277855214 | 3.84968269386557 | | 237 | 52.1871 | 54.9789003071291 | 1.31695296861827 | 48.0783467242526 | 2.7918003071291 | | 238 | 49.3474 | 48.8523669502644 | 0.58564872624222 | 49.2567843234934 | -0.495033049735575 | | 239 | 47.8653 | 45.8219131116205 | -0.526535034354538 | 50.4352219227341 | -2.04338688837954 | | 240 | 48.5179 | 47.5411672815856 | -1.86566573318656 | 51.3602984516009 | -0.976732718414368 | | 241 | 52.4815 | 53.9654336967485 | -1.28780867721631 | 52.2853749804678 | 1.48393369674854 | | 242 | 51.8171 | 52.3806699249982 | -1.5272108487676 | 52.7807409237694 | 0.563569924998163 | | 243 | 52.5811 | 52.7183075549086 | -0.83221442197967 | 53.2761068670711 | 0.137207554908564 | | 244 | 57.5617 | 61.8533616846119 | -0.0543075396441059 | 53.3243458550322 | 4.29166168461191 | | 245 | 55.7091 | 57.4020149681994 | 0.64360018880735 | 53.3725848429933 | 1.69291496819936 | | 246 | 55.4378 | 56.8180127403929 | 1.07437789247777 | 52.9832093671293 | 1.38021274039289 | | 247 | 58.7493 | 63.8876927094027 | 1.01707339933189 | 52.5938338912654 | 5.13839270940273 | | 248 | 57.794 | 62.2166096058642 | 1.45608952061303 | 51.9153008735227 | 4.42260960586423 | | 249 | 50.282 | 48.0102791756016 | 1.31695296861827 | 51.2367678557801 | -2.27172082439836 | | 250 | 47.6976 | 44.2326314500194 | 0.58564872624222 | 50.5769198237384 | -3.46496854998058 | | 251 | 46.7381 | 44.0856632426579 | -0.526535034354538 | 49.9170717916966 | -2.65243675734209 | | 252 | 47.4282 | 47.1955108941811 | -1.86566573318656 | 49.5265548390055 | -0.232689105818906 | | 253 | 42.2269 | 36.605570790902 | -1.28780867721631 | 49.1360378863143 | -5.62132920909799 | | 254 | 44.9066 | 42.1363955582511 | -1.5272108487676 | 49.2040152905165 | -2.77020444174894 | | 255 | 47.2648 | 46.0898217272609 | -0.83221442197967 | 49.2719926947188 | -1.17497827273910 | | 256 | 50.2325 | 50.4664406727494 | -0.0543075396441059 | 50.0528668668947 | 0.233940672749362 | | 257 | 50.2504 | 49.0234587721219 | 0.64360018880735 | 50.8337410390707 | -1.22694122787807 | | 258 | 52.5685 | 51.8848407855586 | 1.07437789247777 | 52.1777813219636 | -0.68365921444142 | | 259 | 55.2325 | 55.9261049958115 | 1.01707339933189 | 53.5218216048566 | 0.693604995811548 | | 260 | 52.3674 | 48.1237314240954 | 1.45608952061303 | 55.1549790552915 | -4.24366857590456 | | 261 | 55.1692 | 52.2333105256552 | 1.31695296861827 | 56.7881365057265 | -2.93588947434477 | | 262 | 57.7252 | 56.1309384980175 | 0.58564872624222 | 58.7338127757403 | -1.5942615019825 | | 263 | 62.8232 | 65.4934459886005 | -0.526535034354538 | 60.679489045754 | 2.67024598860047 | | 264 | 62.7599 | 64.3237268080843 | -1.86566573318656 | 63.0617389251022 | 1.56382680808434 | | 265 | 62.4387 | 60.7212198727659 | -1.28780867721631 | 65.4439888044504 | -1.71748012723408 | | 266 | 64.0862 | 62.2961670599431 | -1.5272108487676 | 67.4034437888245 | -1.79003294005692 | | 267 | 66.1209 | 63.711115648781 | -0.83221442197967 | 69.3628987731987 | -2.40978435121897 | | 268 | 69.8474 | 70.1436876823358 | -0.0543075396441059 | 69.6054198573083 | 0.296287682335759 | | 269 | 80.1039 | 89.7162588697746 | 0.64360018880735 | 69.847940941418 | 9.61235886977462 | | 270 | 85.9319 | 102.674965567338 | 1.07437789247777 | 68.1144565401839 | 16.7430655673383 | | 271 | 85.2843 | 103.170554461718 | 1.01707339933189 | 66.3809721389498 | 17.8862544617183 | | 272 | 77.0383 | 89.161897707127 | 1.45608952061303 | 63.45861277226 | 12.1235977071269 | | 273 | 69.9981 | 78.1429936258114 | 1.31695296861827 | 60.5362534055703 | 8.14489362581141 | | 274 | 55.2039 | 52.7572331322875 | 0.58564872624222 | 57.0649181414703 | -2.44666686771251 | | 275 | 43.1188 | 33.1705521569843 | -0.526535034354538 | 53.5935828773703 | -9.94824784301573 | | 276 | 32.077 | 15.6734493846694 | -1.86566573318656 | 50.3462163485171 | -16.4035506153306 | | 277 | 34.2974 | 22.7837588575523 | -1.28780867721631 | 47.098849819664 | -11.5136411424477 | | 278 | 34.5613 | 25.5005063122116 | -1.5272108487676 | 45.149304536556 | -9.06079368778838 | | 279 | 36.5235 | 30.6794551685317 | -0.83221442197967 | 43.1997592534480 | -5.84404483146829 | | 280 | 39.0474 | 35.0509365870073 | -0.0543075396441059 | 43.0981709526368 | -3.99646341299267 | | 281 | 42.8033 | 41.9664171593671 | 0.64360018880735 | 42.9965826518256 | -0.836882840632938 | | 282 | 49.5164 | 53.7093398915566 | 1.07437789247777 | 44.2490822159656 | 4.19293989155663 | | 283 | 46.459 | 46.3993448205625 | 1.01707339933189 | 45.5015817801056 | -0.0596551794374776 | | 284 | 51.1313 | 53.6047255156342 | 1.45608952061303 | 47.2017849637528 | 2.47342551563417 | | 285 | 46.9331 | 43.6472588839817 | 1.31695296861827 | 48.9019881474 | -3.28584111601827 | | 286 | 49.7654 | 48.3723382745445 | 0.58564872624222 | 50.5728129992133 | -1.39306172545550 | | 287 | 52.0729 | 52.428697183328 | -0.526535034354538 | 52.2436378510266 | 0.355797183327979 | | 288 | 51.6425 | 51.6565428933791 | -1.86566573318656 | 53.4941228398075 | 0.0140428933790702 | | 289 | 53.9784 | 54.5000008486279 | -1.28780867721631 | 54.7446078285884 | 0.521600848627898 | | 290 | 54.4891 | 54.6269391986213 | -1.5272108487676 | 55.8784716501463 | 0.137839198621307 | | 291 | 59.0665 | 61.9528789502755 | -0.83221442197967 | 57.0123354717042 | 2.8863789502755 | | 292 | 63.9929 | 69.8887635550934 | -0.0543075396441059 | 58.1513439845507 | 5.89586355509345 | | 293 | 61.6167 | 63.2994473137955 | 0.64360018880735 | 59.2903524973971 | 1.68274731379551 | | 294 | 62.1816 | 62.8826279974418 | 1.07437789247777 | 60.4061941100804 | 0.701027997441834 | | 295 | 58.9178 | 55.2964908779045 | 1.01707339933189 | 61.5220357227636 | -3.62130912209553 | | 296 | 59.9151 | 55.780684990032 | 1.45608952061303 | 62.593425489355 | -4.134415009968 |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/1oc6f1292176043.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/1oc6f1292176043.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/2zl501292176043.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/2zl501292176043.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/3zl501292176043.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/3zl501292176043.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/4ad431292176043.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/12/t12921759325dk9blonbfae1fx/4ad431292176043.ps (open in new window) |
| | | | Parameters (Session): | | par1 = 12 ; | | | | Parameters (R input): | | par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ; | | | | R code (references can be found in the software module): | par1 <- as.numeric(par1) #seasonal period
if (par2 != 'periodic') par2 <- as.numeric(par2) #s.window
par3 <- as.numeric(par3) #s.degree
if (par4 == '') par4 <- NULL else par4 <- as.numeric(par4)#t.window
par5 <- as.numeric(par5)#t.degree
if (par6 != '') par6 <- as.numeric(par6)#l.window
par7 <- as.numeric(par7)#l.degree
if (par8 == 'FALSE') par8 <- FALSE else par9 <- TRUE #robust
nx <- length(x)
x <- ts(x,frequency=par1)
if (par6 != '') {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.window=par6, l.degree=par7, robust=par8)
} else {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.degree=par7, robust=par8)
}
m$time.series
m$win
m$deg
m$jump
m$inner
m$outer
bitmap(file='test1.png')
plot(m,main=main)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$time.series[,'trend']),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$time.series[,'seasonal']),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$time.series[,'remainder']),na.action=na.pass,lag.max = mylagmax,main='Remainder')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Parameters',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Component',header=TRUE)
a<-table.element(a,'Window',header=TRUE)
a<-table.element(a,'Degree',header=TRUE)
a<-table.element(a,'Jump',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,m$win['s'])
a<-table.element(a,m$deg['s'])
a<-table.element(a,m$jump['s'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,m$win['t'])
a<-table.element(a,m$deg['t'])
a<-table.element(a,m$jump['t'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Low-pass',header=TRUE)
a<-table.element(a,m$win['l'])
a<-table.element(a,m$deg['l'])
a<-table.element(a,m$jump['l'])
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,'Seasonal Decomposition by Loess - Time Series Components',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Remainder',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]+m$time.series[i,'remainder'])
a<-table.element(a,m$time.series[i,'seasonal'])
a<-table.element(a,m$time.series[i,'trend'])
a<-table.element(a,m$time.series[i,'remainder'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
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