| paper Loess | | *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, 26 Dec 2010 19:01:05 +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/26/t1293389994s972j8qkogs5n2n.htm/, Retrieved Sun, 26 Dec 2010 19:59:54 +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/26/t1293389994s972j8qkogs5n2n.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 « | | 5,2
7,9
8,7
8,9
15,3
15,4
18,1
19,7
13
12,6
6,2
3,5
3,4
0
9,5
8,9
10,4
13,2
18,9
19
16,3
10,6
5,8
3,6
2,6
5
7,3
9,2
15,7
16,8
18,4
18,1
14,6
7,8
7,6
3,8
5,6
2,2
6,8
11,8
14,9
16,7
16,7
15,9
13,6
9,2
2,8
2,5
4,8
2,8
7,8
9
12,9
16,4
21,8
17,8
13,5
10
10,4
5,5
4
6,8
5,7
9,1
13,6
15
20,9
20,4
14
13,7
7,1
0,8
2,1
1,3
3,9
10,7
11,1
16,4
17,1
17,3
12,9
10,9
5,3
0,7
-0,2
6,5
8,6
8,5
13,3
16,2
17,5
21,2
14,8
10,3
7,3
5,1
4,4
6,2
7,7
9,3
15,6
16,3
16,6
17,4
15,3
9,7
3,7
4,6
5,4
3,1
7,9
10,1
15
15,6
19,7
18,1
17,7
10,7
6,2
4,2
4
5,9
7,1
10,5
15,1
16,8
15,3
18,4
16,1
11,3
7,9
5,6
3,4
4,8
6,5
8,5
15,1
15,7
18,7
19,2
12,9
14,4
6,2
3,3
4,6
7,2
7,8
9,9
13,6
17,1
17,8
18,6
14,7
10,5
8,6
4,4
2,3
2,8
8,8
10,7
13,9
19,3
19,5
20,4
15,3
7,9
8,3
4,5
3,2
5
6,6
11,1
12,8
16,3
17,4
18,9
15,8
11,7
6,4
2,9
4,7
2,4
7,2
10,7
13,4
18,5
18,3
16,8
16,6
14, etc... | | | | Output produced by software: |
| Seasonal Decomposition by Loess - Parameters | | Component | Window | Degree | Jump | | Seasonal | 2401 | 0 | 241 | | Trend | 19 | 1 | 2 | | Low-pass | 13 | 1 | 2 |
| Seasonal Decomposition by Loess - Time Series Components | | t | Observed | Fitted | Seasonal | Trend | Remainder | | 1 | 5.2 | 5.03821737221319 | -7.04575162228513 | 12.4075342500719 | -0.161782627786810 | | 2 | 7.9 | 10.0078788709021 | -6.38322225665929 | 12.1753433857572 | 2.10787887090205 | | 3 | 8.7 | 9.09754119556556 | -3.64069371700808 | 11.9431525214425 | 0.397541195565559 | | 4 | 8.9 | 6.76871077351061 | -0.68984058633353 | 11.7211298128229 | -2.13128922648939 | | 5 | 15.3 | 15.8348800017146 | 3.26601289408206 | 11.4991071042033 | 0.534880001714615 | | 6 | 15.4 | 13.8620172478140 | 5.66134505445582 | 11.2766376977302 | -1.53798275218597 | | 7 | 18.1 | 17.4541557842632 | 7.69167592447984 | 11.0541682912570 | -0.645844215736824 | | 8 | 19.7 | 20.9724084839957 | 7.60015538826729 | 10.8274361277370 | 1.27240848399566 | | 9 | 13 | 11.2106615794702 | 4.1886344563127 | 10.6007039642171 | -1.78933842052981 | | 10 | 12.6 | 14.4676604608824 | 0.309437791902503 | 10.4229017472151 | 1.86766046088236 | | 11 | 6.2 | 6.02465952076606 | -3.86975905097922 | 10.2450995302132 | -0.175340479233936 | | 12 | 3.5 | 3.97635329498406 | -7.087994245929 | 10.1116409509449 | 0.476353294984058 | | 13 | 3.4 | 3.86756925060839 | -7.04575162228513 | 9.97818237167674 | 0.467569250608394 | | 14 | 0 | -3.55131239976070 | -6.38322225665929 | 9.93453465641998 | -3.55131239976070 | | 15 | 9.5 | 12.7498067758449 | -3.64069371700808 | 9.89088694116323 | 3.24980677584485 | | 16 | 8.9 | 8.58023583850756 | -0.68984058633353 | 9.90960474782597 | -0.319764161492436 | | 17 | 10.4 | 7.60566455142923 | 3.26601289408206 | 9.9283225544887 | -2.79433544857077 | | 18 | 13.2 | 10.7681065235218 | 5.66134505445582 | 9.97054842202237 | -2.43189347647819 | | 19 | 18.9 | 20.0955497859641 | 7.69167592447984 | 10.0127742895560 | 1.19554978596412 | | 20 | 19 | 20.2919302959461 | 7.60015538826729 | 10.1079143157866 | 1.29193029594611 | | 21 | 16.3 | 18.2083112016701 | 4.1886344563127 | 10.2030543420172 | 1.90831120167014 | | 22 | 10.6 | 10.5462488001736 | 0.309437791902503 | 10.3443134079239 | -0.0537511998264275 | | 23 | 5.8 | 4.98418657714854 | -3.86975905097922 | 10.4855724738307 | -0.815813422851459 | | 24 | 3.6 | 3.67716820111137 | -7.087994245929 | 10.6108260448176 | 0.0771682011113679 | | 25 | 2.6 | 1.50967200648054 | -7.04575162228513 | 10.7360796158046 | -1.09032799351946 | | 26 | 5 | 5.66120515777008 | -6.38322225665929 | 10.7220170988892 | 0.661205157770077 | | 27 | 7.3 | 7.53273913503425 | -3.64069371700808 | 10.7079545819738 | 0.232739135034254 | | 28 | 9.2 | 8.42668937962044 | -0.68984058633353 | 10.6631512067131 | -0.773310620379563 | | 29 | 15.7 | 17.5156392744656 | 3.26601289408206 | 10.6183478314524 | 1.81563927446558 | | 30 | 16.8 | 17.3141444450576 | 5.66134505445582 | 10.6245105004866 | 0.514144445057569 | | 31 | 18.4 | 18.4776509059993 | 7.69167592447984 | 10.6306731695209 | 0.07765090599929 | | 32 | 18.1 | 17.9770421876327 | 7.60015538826729 | 10.6228024241001 | -0.122957812367348 | | 33 | 14.6 | 14.3964338650081 | 4.1886344563127 | 10.6149316786793 | -0.203566134991949 | | 34 | 7.8 | 4.67182032188102 | 0.309437791902503 | 10.6187418862165 | -3.12817967811898 | | 35 | 7.6 | 8.44720695722552 | -3.86975905097922 | 10.6225520937537 | 0.847206957225524 | | 36 | 3.8 | 4.07694987649551 | -7.087994245929 | 10.6110443694335 | 0.276949876495511 | | 37 | 5.6 | 7.64621497717183 | -7.04575162228513 | 10.5995366451133 | 2.04621497717183 | | 38 | 2.2 | 0.23777656146999 | -6.38322225665929 | 10.5454456951893 | -1.96222343853001 | | 39 | 6.8 | 6.74933897174279 | -3.64069371700808 | 10.4913547452653 | -0.0506610282572133 | | 40 | 11.8 | 13.9363970106744 | -0.68984058633353 | 10.3534435756592 | 2.13639701067437 | | 41 | 14.9 | 16.3184546998649 | 3.26601289408206 | 10.2155324060530 | 1.41845469986490 | | 42 | 16.7 | 17.6782977063980 | 5.66134505445582 | 10.0603572391461 | 0.978297706398035 | | 43 | 16.7 | 15.8031420032809 | 7.69167592447984 | 9.90518207223926 | -0.896857996719103 | | 44 | 15.9 | 14.3891659435774 | 7.60015538826729 | 9.81067866815527 | -1.51083405642256 | | 45 | 13.6 | 13.2951902796160 | 4.1886344563127 | 9.71617526407127 | -0.304809720383973 | | 46 | 9.2 | 8.42837197328518 | 0.309437791902503 | 9.66219023481231 | -0.771628026714819 | | 47 | 2.8 | -0.138446154574130 | -3.86975905097922 | 9.60820520555335 | -2.93844615457413 | | 48 | 2.5 | 2.40152621531133 | -7.087994245929 | 9.68646803061768 | -0.0984737846886716 | | 49 | 4.8 | 6.88102076660312 | -7.04575162228513 | 9.764730855682 | 2.08102076660312 | | 50 | 2.8 | 2.03086283452373 | -6.38322225665929 | 9.95235942213555 | -0.769137165476268 | | 51 | 7.8 | 9.10070572841898 | -3.64069371700808 | 10.1399879885891 | 1.30070572841898 | | 52 | 9 | 8.33635095261673 | -0.68984058633353 | 10.3534896337168 | -0.663649047383268 | | 53 | 12.9 | 11.9669958270734 | 3.26601289408206 | 10.5669912788445 | -0.933004172926562 | | 54 | 16.4 | 16.3690637232622 | 5.66134505445582 | 10.7695912222820 | -0.0309362767377905 | | 55 | 21.8 | 24.9361329098007 | 7.69167592447984 | 10.9721911657194 | 3.13613290980072 | | 56 | 17.8 | 16.9085812065720 | 7.60015538826729 | 11.0912634051607 | -0.89141879342802 | | 57 | 13.5 | 11.6010298990853 | 4.1886344563127 | 11.2103356446020 | -1.89897010091472 | | 58 | 10 | 8.47130618970282 | 0.309437791902503 | 11.2192560183947 | -1.52869381029718 | | 59 | 10.4 | 13.4415826587919 | -3.86975905097922 | 11.2281763921873 | 3.04158265879188 | | 60 | 5.5 | 6.88096270970535 | -7.087994245929 | 11.2070315362237 | 1.38096270970535 | | 61 | 4 | 3.85986494202515 | -7.04575162228513 | 11.1858866802600 | -0.140135057974849 | | 62 | 6.8 | 8.77525049857759 | -6.38322225665929 | 11.2079717580817 | 1.97525049857759 | | 63 | 5.7 | 3.81063688110467 | -3.64069371700808 | 11.2300568359034 | -1.88936311889533 | | 64 | 9.1 | 7.66263997405998 | -0.68984058633353 | 11.2272006122735 | -1.43736002594002 | | 65 | 13.6 | 12.7096427172743 | 3.26601289408206 | 11.2243443886437 | -0.890357282725747 | | 66 | 15 | 13.2791263437296 | 5.66134505445582 | 11.0595286018146 | -1.72087365627043 | | 67 | 20.9 | 23.2136112605346 | 7.69167592447984 | 10.8947128149855 | 2.31361126053461 | | 68 | 20.4 | 22.4993713556604 | 7.60015538826729 | 10.7004732560723 | 2.09937135566043 | | 69 | 14 | 13.3051318465283 | 4.1886344563127 | 10.5062336971590 | -0.694868153471711 | | 70 | 13.7 | 16.7387669113269 | 0.309437791902503 | 10.3517952967706 | 3.03876691132689 | | 71 | 7.1 | 7.87240215459702 | -3.86975905097922 | 10.1973568963822 | 0.772402154597017 | | 72 | 0.8 | -1.34020423395735 | -7.087994245929 | 10.0281984798864 | -2.14020423395735 | | 73 | 2.1 | 1.38671155889461 | -7.04575162228513 | 9.85904006339052 | -0.713288441105387 | | 74 | 1.3 | -0.685382983217375 | -6.38322225665929 | 9.66860523987666 | -1.98538298321738 | | 75 | 3.9 | 1.96252330064528 | -3.64069371700808 | 9.4781704163628 | -1.93747669935472 | | 76 | 10.7 | 12.7199998598348 | -0.68984058633353 | 9.36984072649872 | 2.01999985983480 | | 77 | 11.1 | 9.6724760692833 | 3.26601289408206 | 9.26151103663464 | -1.42752393071671 | | 78 | 16.4 | 17.8919293567043 | 5.66134505445582 | 9.24672558883991 | 1.49192935670427 | | 79 | 17.1 | 17.2763839344750 | 7.69167592447984 | 9.23194014104518 | 0.176383934474977 | | 80 | 17.3 | 17.6652424476818 | 7.60015538826729 | 9.33460216405095 | 0.365242447681760 | | 81 | 12.9 | 12.1741013566306 | 4.1886344563127 | 9.43726418705672 | -0.725898643369414 | | 82 | 10.9 | 11.9520683451609 | 0.309437791902503 | 9.53849386293655 | 1.05206834516095 | | 83 | 5.3 | 4.83003551216284 | -3.86975905097922 | 9.63972353881638 | -0.469964487837156 | | 84 | 0.7 | -1.24525994974193 | -7.087994245929 | 9.73325419567093 | -1.94525994974193 | | 85 | -0.2 | -3.18103323024036 | -7.04575162228513 | 9.82678485252549 | -2.98103323024036 | | 86 | 6.5 | 9.41542393981826 | -6.38322225665929 | 9.96779831684103 | 2.91542393981826 | | 87 | 8.6 | 10.7318819358515 | -3.64069371700808 | 10.1088117811566 | 2.13188193585152 | | 88 | 8.5 | 7.40133506407535 | -0.68984058633353 | 10.2885055222582 | -1.09866493592465 | | 89 | 13.3 | 12.8657878425581 | 3.26601289408206 | 10.4681992633598 | -0.434212157441857 | | 90 | 16.2 | 16.0835891827245 | 5.66134505445582 | 10.6550657628197 | -0.116410817275506 | | 91 | 17.5 | 16.4663918132406 | 7.69167592447984 | 10.8419322622796 | -1.03360818675942 | | 92 | 21.2 | 23.8338578586504 | 7.60015538826729 | 10.9659867530823 | 2.63385785865038 | | 93 | 14.8 | 14.3213242998022 | 4.1886344563127 | 11.0900412438851 | -0.478675700197769 | | 94 | 10.3 | 9.12846513094202 | 0.309437791902503 | 11.1620970771555 | -1.17153486905798 | | 95 | 7.3 | 7.23560614055334 | -3.86975905097922 | 11.2341529104259 | -0.064393859446664 | | 96 | 5.1 | 6.05217305394925 | -7.087994245929 | 11.2358211919798 | 0.95217305394925 | | 97 | 4.4 | 4.60826214875151 | -7.04575162228513 | 11.2374894735336 | 0.208262148751507 | | 98 | 6.2 | 7.63642848409276 | -6.38322225665929 | 11.1467937725665 | 1.43642848409276 | | 99 | 7.7 | 7.98459564540865 | -3.64069371700808 | 11.0560980715994 | 0.284595645408652 | | 100 | 9.3 | 8.37492950766075 | -0.68984058633353 | 10.9149110786728 | -0.925070492339254 | | 101 | 15.6 | 17.1602630201718 | 3.26601289408206 | 10.7737240857461 | 1.56026302017180 | | 102 | 16.3 | 16.2924110671800 | 5.66134505445582 | 10.6462438783642 | -0.00758893282003825 | | 103 | 16.6 | 14.9895604045379 | 7.69167592447984 | 10.5187636709823 | -1.61043959546214 | | 104 | 17.4 | 16.7535850621597 | 7.60015538826729 | 10.4462595495730 | -0.64641493784034 | | 105 | 15.3 | 16.0376101155235 | 4.1886344563127 | 10.3737554281638 | 0.737610115523504 | | 106 | 9.7 | 8.7071573878728 | 0.309437791902503 | 10.3834048202247 | -0.992842612127193 | | 107 | 3.7 | 0.876704838693644 | -3.86975905097922 | 10.3930542122856 | -2.82329516130636 | | 108 | 4.6 | 5.82423410190938 | -7.087994245929 | 10.4637601440196 | 1.22423410190938 | | 109 | 5.4 | 7.31128554653145 | -7.04575162228513 | 10.5344660757537 | 1.91128554653145 | | 110 | 3.1 | 1.90607292243235 | -6.38322225665929 | 10.6771493342269 | -1.19392707756765 | | 111 | 7.9 | 8.6208611243079 | -3.64069371700808 | 10.8198325927002 | 0.720861124307898 | | 112 | 10.1 | 9.95581745960215 | -0.68984058633353 | 10.9340231267314 | -0.144182540397846 | | 113 | 15 | 15.6857734451554 | 3.26601289408206 | 11.0482136607626 | 0.68577344515537 | | 114 | 15.6 | 14.4386205442172 | 5.66134505445582 | 11.1000344013270 | -1.16137945578280 | | 115 | 19.7 | 20.5564689336288 | 7.69167592447984 | 11.1518551418914 | 0.85646893362877 | | 116 | 18.1 | 17.4300748439457 | 7.60015538826729 | 11.1697697677870 | -0.669925156054262 | | 117 | 17.7 | 20.0236811500047 | 4.1886344563127 | 11.1876843936826 | 2.32368115000474 | | 118 | 10.7 | 9.8788015049344 | 0.309437791902503 | 11.2117607031631 | -0.821198495065591 | | 119 | 6.2 | 5.03392203833561 | -3.86975905097922 | 11.2358370126436 | -1.16607796166439 | | 120 | 4.2 | 4.30073402118243 | -7.087994245929 | 11.1872602247466 | 0.100734021182426 | | 121 | 4 | 3.90706818543559 | -7.04575162228513 | 11.1386834368495 | -0.0929318145644125 | | 122 | 5.9 | 7.12047462208177 | -6.38322225665929 | 11.0627476345775 | 1.22047462208177 | | 123 | 7.1 | 6.85388188470259 | -3.64069371700808 | 10.9868118323055 | -0.246118115297412 | | 124 | 10.5 | 10.7138656105566 | -0.68984058633353 | 10.9759749757770 | 0.213865610556567 | | 125 | 15.1 | 15.9688489866695 | 3.26601289408206 | 10.9651381192484 | 0.868848986669501 | | 126 | 16.8 | 16.9407414628145 | 5.66134505445582 | 10.9979134827297 | 0.140741462814486 | | 127 | 15.3 | 11.8776352293092 | 7.69167592447984 | 11.0306888462110 | -3.4223647706908 | | 128 | 18.4 | 18.1952108288920 | 7.60015538826729 | 11.0046337828407 | -0.204789171108025 | | 129 | 16.1 | 17.0327868242168 | 4.1886344563127 | 10.9785787194705 | 0.932786824216794 | | 130 | 11.3 | 11.3466696589694 | 0.309437791902503 | 10.9438925491281 | 0.0466696589693854 | | 131 | 7.9 | 8.7605526721935 | -3.86975905097922 | 10.9092063787857 | 0.860552672193508 | | 132 | 5.6 | 7.37399090847977 | -7.087994245929 | 10.9140033374492 | 1.77399090847977 | | 133 | 3.4 | 2.92695132617236 | -7.04575162228513 | 10.9188002961128 | -0.473048673827636 | | 134 | 4.8 | 5.06215677572926 | -6.38322225665929 | 10.9210654809300 | 0.262156775729261 | | 135 | 6.5 | 5.7173630512608 | -3.64069371700808 | 10.9233306657473 | -0.782636948739203 | | 136 | 8.5 | 6.80486253928662 | -0.68984058633353 | 10.8849780470469 | -1.69513746071338 | | 137 | 15.1 | 16.0873616775714 | 3.26601289408206 | 10.8466254283465 | 0.9873616775714 | | 138 | 15.7 | 14.8883164480942 | 5.66134505445582 | 10.8503384974500 | -0.811683551905787 | | 139 | 18.7 | 18.8542725089668 | 7.69167592447984 | 10.8540515665534 | 0.154272508966759 | | 140 | 19.2 | 19.8516497488264 | 7.60015538826729 | 10.9481948629063 | 0.651649748826374 | | 141 | 12.9 | 10.5690273844280 | 4.1886344563127 | 11.0423381592593 | -2.33097261557197 | | 142 | 14.4 | 17.3656656626629 | 0.309437791902503 | 11.1248965454346 | 2.96566566266288 | | 143 | 6.2 | 5.06230411936926 | -3.86975905097922 | 11.2074549316100 | -1.13769588063074 | | 144 | 3.3 | 2.46735866409027 | -7.087994245929 | 11.2206355818387 | -0.832641335909731 | | 145 | 4.6 | 5.01193539021762 | -7.04575162228513 | 11.2338162320675 | 0.41193539021762 | | 146 | 7.2 | 9.57772741687301 | -6.38322225665929 | 11.2054948397863 | 2.37772741687301 | | 147 | 7.8 | 8.06352026950304 | -3.64069371700808 | 11.1771734475050 | 0.263520269503044 | | 148 | 9.9 | 9.34562739158302 | -0.68984058633353 | 11.1442131947505 | -0.554372608416983 | | 149 | 13.6 | 12.8227341639219 | 3.26601289408206 | 11.111252941996 | -0.777265836078055 | | 150 | 17.1 | 17.4908367632695 | 5.66134505445582 | 11.0478181822747 | 0.390836763269467 | | 151 | 17.8 | 16.9239406529667 | 7.69167592447984 | 10.9843834225534 | -0.87605934703328 | | 152 | 18.6 | 18.6955890257975 | 7.60015538826729 | 10.9042555859353 | 0.095589025797457 | | 153 | 14.7 | 14.3872377943702 | 4.1886344563127 | 10.8241277493171 | -0.312762205629767 | | 154 | 10.5 | 9.85789574709687 | 0.309437791902503 | 10.8326664610006 | -0.642104252903128 | | 155 | 8.6 | 10.2285538782950 | -3.86975905097922 | 10.8412051726842 | 1.62855387829504 | | 156 | 4.4 | 4.93839484432259 | -7.087994245929 | 10.9495994016064 | 0.538394844322594 | | 157 | 2.3 | 0.587757991756484 | -7.04575162228513 | 11.0579936305286 | -1.71224200824352 | | 158 | 2.8 | 0.833275811191734 | -6.38322225665929 | 11.1499464454676 | -1.96672418880827 | | 159 | 8.8 | 9.99879445660163 | -3.64069371700808 | 11.2418992604065 | 1.19879445660163 | | 160 | 10.7 | 10.8329263255529 | -0.68984058633353 | 11.2569142607806 | 0.132926325552930 | | 161 | 13.9 | 13.2620578447632 | 3.26601289408206 | 11.2719292611547 | -0.637942155236807 | | 162 | 19.3 | 21.6645564416929 | 5.66134505445582 | 11.2740985038513 | 2.3645564416929 | | 163 | 19.5 | 20.0320563289723 | 7.69167592447984 | 11.2762677465478 | 0.53205632897234 | | 164 | 20.4 | 21.9227100094246 | 7.60015538826729 | 11.2771346023081 | 1.52271000942461 | | 165 | 15.3 | 15.1333640856189 | 4.1886344563127 | 11.2780014580684 | -0.166635914381072 | | 166 | 7.9 | 4.30142705883482 | 0.309437791902503 | 11.1891351492627 | -3.59857294116518 | | 167 | 8.3 | 9.36949021052225 | -3.86975905097922 | 11.1002688404570 | 1.06949021052225 | | 168 | 4.5 | 5.11779265115718 | -7.087994245929 | 10.9702015947718 | 0.617792651157178 | | 169 | 3.2 | 2.60561727319845 | -7.04575162228513 | 10.8401343490867 | -0.59438272680155 | | 170 | 5 | 5.59847752788914 | -6.38322225665929 | 10.7847447287701 | 0.598477527889145 | | 171 | 6.6 | 6.11133860855448 | -3.64069371700808 | 10.7293551084536 | -0.488661391445524 | | 172 | 11.1 | 12.1425928286612 | -0.68984058633353 | 10.7472477576723 | 1.04259282866123 | | 173 | 12.8 | 11.5688466990269 | 3.26601289408206 | 10.765140406891 | -1.23115330097306 | | 174 | 16.3 | 16.1920495598058 | 5.66134505445582 | 10.7466053857384 | -0.107950440194184 | | 175 | 17.4 | 16.3802537109344 | 7.69167592447984 | 10.7280703645857 | -1.01974628906557 | | 176 | 18.9 | 19.5033534185588 | 7.60015538826729 | 10.6964911931739 | 0.603353418558761 | | 177 | 15.8 | 16.7464535219251 | 4.1886344563127 | 10.6649120217622 | 0.94645352192514 | | 178 | 11.7 | 12.4158589678228 | 0.309437791902503 | 10.6747032402746 | 0.715858967822847 | | 179 | 6.4 | 5.98526459219208 | -3.86975905097922 | 10.6844944587871 | -0.414735407807916 | | 180 | 2.9 | 2.16669989018645 | -7.087994245929 | 10.7212943557426 | -0.733300109813547 | | 181 | 4.7 | 5.68765736958717 | -7.04575162228513 | 10.7580942526980 | 0.987657369587165 | | 182 | 2.4 | 0.395768565853549 | -6.38322225665929 | 10.7874536908057 | -2.00423143414645 | | 183 | 7.2 | 7.22388058809457 | -3.64069371700808 | 10.8168131289135 | 0.0238805880945723 | | 184 | 10.7 | 11.2187688689535 | -0.68984058633353 | 10.8710717173800 | 0.518768868953551 | | 185 | 13.4 | 12.6086568000715 | 3.26601289408206 | 10.9253303058464 | -0.791343199928514 | | 186 | 18.5 | 20.3999165791915 | 5.66134505445582 | 10.9387383663526 | 1.89991657919155 | | 187 | 18.3 | 17.9561776486613 | 7.69167592447984 | 10.9521464268588 | -0.343822351338655 | | 188 | 16.8 | 15.1525043488412 | 7.60015538826729 | 10.8473402628915 | -1.64749565115876 | | 189 | 16.6 | 18.2688314447632 | 4.1886344563127 | 10.7425340989241 | 1.66883144476319 | | 190 | 14.1 | 17.2695304929582 | 0.309437791902503 | 10.6210317151393 | 3.16953049295819 | | 191 | 6.1 | 5.57022971962473 | -3.86975905097922 | 10.4995293313545 | -0.529770280375272 | | 192 | 3.5 | 3.59872837782706 | -7.087994245929 | 10.4892658681020 | 0.0987283778270562 | | 193 | 1.7 | -0.0332507825642765 | -7.04575162228513 | 10.4790024048494 | -1.73325078256428 | | 194 | 2.3 | 0.418149473470046 | -6.38322225665929 | 10.5650727831892 | -1.88185052652995 | | 195 | 4.5 | 1.98955055547901 | -3.64069371700808 | 10.6511431615291 | -2.51044944452099 | | 196 | 9.3 | 8.4575975252842 | -0.68984058633353 | 10.8322430610493 | -0.842402474715803 | | 197 | 14.2 | 14.1206441453483 | 3.26601289408206 | 11.0133429605696 | -0.0793558546516557 | | 198 | 17.3 | 17.5905640173390 | 5.66134505445582 | 11.3480909282051 | 0.290564017339044 | | 199 | 23 | 26.6254851796795 | 7.69167592447984 | 11.6828388958407 | 3.62548517967947 | | 200 | 16.3 | 12.9515523330178 | 7.60015538826729 | 12.0482922787149 | -3.34844766698222 | | 201 | 18.4 | 20.1976198820981 | 4.1886344563127 | 12.4137456615892 | 1.79761988209813 | | 202 | 14.2 | 15.4564995605334 | 0.309437791902503 | 12.6340626475641 | 1.25649956053339 | | 203 | 9.1 | 9.21537941744018 | -3.86975905097922 | 12.8543796335390 | 0.115379417440183 | | 204 | 5.9 | 6.05982308392201 | -7.087994245929 | 12.828171162007 | 0.159823083922007 | | 205 | 7.2 | 8.64378893181017 | -7.04575162228513 | 12.8019626904750 | 1.44378893181017 | | 206 | 6.8 | 7.3923955513986 | -6.38322225665929 | 12.5908267052607 | 0.592395551398598 | | 207 | 8 | 7.26100299696166 | -3.64069371700808 | 12.3796907200464 | -0.738997003038335 | | 208 | 14.3 | 17.1916102068722 | -0.68984058633353 | 12.0982303794613 | 2.89161020687219 | | 209 | 14.6 | 14.1172170670417 | 3.26601289408206 | 11.8167700388763 | -0.482782932958333 | | 210 | 17.5 | 17.7285951726432 | 5.66134505445582 | 11.6100597729010 | 0.228595172643152 | | 211 | 17.2 | 15.3049745685944 | 7.69167592447984 | 11.4033495069258 | -1.89502543140563 | | 212 | 17.2 | 15.5341290187251 | 7.60015538826729 | 11.2657155930076 | -1.66587098127492 | | 213 | 14.1 | 12.8832838645978 | 4.1886344563127 | 11.1280816790895 | -1.21671613540216 | | 214 | 10.5 | 9.63283776662418 | 0.309437791902503 | 11.0577244414733 | -0.867162233375815 | | 215 | 6.8 | 6.48239184712206 | -3.86975905097922 | 10.9873672038572 | -0.317608152877943 | | 216 | 4.1 | 4.28895751725443 | -7.087994245929 | 10.9990367286746 | 0.188957517254435 | | 217 | 6.5 | 9.03504536879315 | -7.04575162228513 | 11.0107062534920 | 2.53504536879315 | | 218 | 6.1 | 7.54743850985838 | -6.38322225665929 | 11.0357837468009 | 1.44743850985838 | | 219 | 6.3 | 5.17983247689826 | -3.64069371700808 | 11.0608612401098 | -1.12016752310174 | | 220 | 9.3 | 8.28879447428069 | -0.68984058633353 | 11.0010461120528 | -1.01120552571931 | | 221 | 16.4 | 18.5927561219221 | 3.26601289408206 | 10.9412309839959 | 2.19275612192207 | | 222 | 16.1 | 15.7658707243070 | 5.66134505445582 | 10.7727842212371 | -0.33412927569297 | | 223 | 18 | 17.7039866170417 | 7.69167592447984 | 10.6043374584784 | -0.296013382958273 | | 224 | 17.6 | 17.1511652234753 | 7.60015538826729 | 10.4486793882574 | -0.448834776524658 | | 225 | 14 | 13.518344225651 | 4.1886344563127 | 10.2930213180363 | -0.481655774349003 | | 226 | 10.5 | 10.4162903511783 | 0.309437791902503 | 10.2742718569192 | -0.0837096488217473 | | 227 | 6.9 | 7.41423665517704 | -3.86975905097922 | 10.2555223958022 | 0.514236655177038 | | 228 | 2.8 | 2.37678730757095 | -7.087994245929 | 10.3112069383581 | -0.423212692429054 | | 229 | 0.7 | -1.92113985862881 | -7.04575162228513 | 10.3668914809139 | -2.62113985862881 | | 230 | 3.6 | 3.09767602161974 | -6.38322225665929 | 10.4855462350395 | -0.502323978380256 | | 231 | 6.7 | 6.43649272784294 | -3.64069371700808 | 10.6042009891651 | -0.263507272157064 | | 232 | 12.5 | 14.9306536609882 | -0.68984058633353 | 10.7591869253453 | 2.43065366098824 | | 233 | 14.4 | 14.6198142443925 | 3.26601289408206 | 10.9141728615254 | 0.219814244392499 | | 234 | 16.5 | 16.2828026503501 | 5.66134505445582 | 11.0558522951941 | -0.217197349649883 | | 235 | 18.7 | 18.5107923466575 | 7.69167592447984 | 11.1975317288627 | -0.189207653342534 | | 236 | 19.4 | 19.8644799315338 | 7.60015538826729 | 11.3353646801989 | 0.464479931533766 | | 237 | 15.8 | 15.9381679121521 | 4.1886344563127 | 11.4731976315352 | 0.138167912152111 | | 238 | 11.3 | 10.6850171066555 | 0.309437791902503 | 11.6055451014420 | -0.614982893344465 | | 239 | 9.7 | 11.5318664796305 | -3.86975905097922 | 11.7378925713487 | 1.83186647963049 | | 240 | 2.9 | 1.02360266308950 | -7.087994245929 | 11.8643915828395 | -1.8763973369105 |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/1gv951293390059.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/1gv951293390059.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/2gv951293390059.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/2gv951293390059.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/3rm8q1293390059.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/3rm8q1293390059.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/41d7s1293390059.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/26/t1293389994s972j8qkogs5n2n/41d7s1293390059.ps (open in new window) |
| | | | Parameters (Session): | | par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ; | | | | 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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