Home » date » 2010 » Dec » 11 »

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: Sat, 11 Dec 2010 19:32:46 +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/11/t1292095840l824rv7ewv6vgkb.htm/, Retrieved Sat, 11 Dec 2010 20:30:45 +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/11/t1292095840l824rv7ewv6vgkb.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 «

12.5621 13.5117 15.3397 16.8622 25.2609 10.0871 12.2961 13.3181 14.2754 14.4211 13.6932 13.9921 15.5698 17.0353 13.4664 15.2809 16.5182 17.55 16.4063 15.6204 15.9458 14.6527 16.3643 16.0591 13.354 13.5542 12.5971 13.1823 13.3266 13.1959 13.2715 12.113 13.4537 10.9201 10.967 12.124 17.1334 15.5932 16.5556 14.2471 14.3177 15.8494 16.361 16.0926 16.5866 16.5044 16.8312 16.6387 14.3945 19.6245 19.6288 15.9543 16.7469 14.1022 12.9999 15.5888 13.8889 22.9635 25.9843 24.7658 15.834 16.8708 14.0299 13.311 17.3363 16.9726 15.9808 14.6359 16.2415 16.7716 18.1138 16.923 15.2454 14.1948 14.7886 14.2537 13.822 14.8679 16.1721 14.3985 15.6683 15.5001 15.3819 14.7056 15.5139 14.9624 12.0738 15.5528 14.563 14.7874 15.0512 15.9781 15.3603 13.7115 14.5146 13.9188 13.0261 13.9764 13.2546 12.2547 12.5688 14.4743 14.2137 11.8741 13.8681 13.7831 13.0991 13.1558 13.6596 12.3954 13.6362 13.5011 13.3426 11.871 12.9011 12 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	9 seconds
R Server	'George Udny Yule' @ 72.249.76.132

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	12.5621	9.7366849677766	0.407185019190441	14.9803300130330	-2.82541503222340
2	13.5117	9.65267108579023	2.42169957775051	14.9490293364593	-3.85902891420977
3	15.3397	16.4204340739442	-0.65876273382978	14.9177286598856	1.08073407394422
4	16.8622	20.6212547711512	-1.78580632027836	14.8889515491272	3.7590547711512
5	25.2609	37.2700205534958	-1.60839499186456	14.8601744383688	12.0091205534958
6	10.0871	3.99945985038249	1.30865298474485	14.8660871648727	-6.0876401496175
7	12.2961	8.95934244088706	0.760857667736386	14.8719998913766	-3.33675755911294
8	13.3181	13.3514218950566	-1.57705079968055	14.8618289046239	0.0333218950566323
9	14.2754	13.7249559449682	-0.0258138628395036	14.8516579178713	-0.550444055031782
10	14.4211	14.5289566062996	-0.407942761985153	14.7211861556855	0.107856606299620
11	13.6932	12.4197344739748	0.375951132525402	14.5907143934998	-1.27346552602518
12	13.9921	12.4736153084847	0.789424990511131	14.7211597010042	-1.51848469151534
13	15.5698	15.8808099723009	0.407185019190441	14.8516050085086	0.311009972300912
14	17.0353	16.5371802089408	2.42169957775051	15.1117202133087	-0.498119791059244
15	13.4664	12.2197273157210	-0.65876273382978	15.3718354181088	-1.24667268427904
16	15.2809	16.8069244954363	-1.78580632027836	15.5406818248420	1.52602449543635
17	16.5182	18.9352667602893	-1.60839499186456	15.7095282315752	2.41706676028934
18	17.55	18.035033492256	1.30865298474485	15.7563135229991	0.485033492256012
19	16.4063	16.2486435178405	0.760857667736386	15.8030988144231	-0.157656482159455
20	15.6204	17.1777612474682	-1.57705079968055	15.6400895522124	1.55736124746818
21	15.9458	16.4403335728378	-0.0258138628395036	15.4770802900017	0.494533572837822
22	14.6527	14.5008977947074	-0.407942761985153	15.2124449672778	-0.151802205292631
23	16.3643	17.4048392229207	0.375951132525402	14.9478096445539	1.04053922292071
24	16.0591	16.6805846419958	0.789424990511131	14.6481903674931	0.621484641995776
25	13.354	11.9522438903773	0.407185019190441	14.3485710904323	-1.40175610962274
26	13.5542	10.6161126287951	2.42169957775051	14.0705877934544	-2.93808737120488
27	12.5971	12.0603582373533	-0.65876273382978	13.7926044964764	-0.536741762646654
28	13.1823	14.6287856811867	-1.78580632027836	13.5216206390917	1.44648568118669
29	13.3266	15.0109582101576	-1.60839499186456	13.2506367817069	1.68435821015765
30	13.1959	11.963656838005	1.30865298474485	13.1194901772501	-1.23224316199500
31	13.2715	12.7937987594702	0.760857667736386	12.9883435727934	-0.477701240529775
32	12.113	12.7350593142247	-1.57705079968055	13.0679914854558	0.622059314224714
33	13.4537	13.7855744647212	-0.0258138628395036	13.1476393981183	0.331874464721215
34	10.9201	8.91914276366468	-0.407942761985153	13.3289999983205	-2.00095723633532
35	10.967	8.04768826895195	0.375951132525402	13.5103605985226	-2.91931173104805
36	12.124	9.70102936331534	0.789424990511131	13.7575456461735	-2.42297063668466
37	17.1334	19.8548842869851	0.407185019190441	14.0047306938244	2.72148428698514
38	15.5932	14.4093468477678	2.42169957775051	14.3553535744817	-1.18385315223217
39	16.5556	19.0639862786909	-0.65876273382978	14.7059764551389	2.50838627869087
40	14.2471	15.1872920025518	-1.78580632027836	15.0927143177265	0.940192002551843
41	14.3177	14.7643428115504	-1.60839499186456	15.4794521803141	0.446642811550435
42	15.8494	14.6621493070868	1.30865298474485	15.7279977081684	-1.1872506929132
43	16.361	15.9845990962410	0.760857667736386	15.9765432360226	-0.376400903758965
44	16.0926	17.6416832471109	-1.57705079968055	16.1205675525696	1.54908324711093
45	16.5866	16.9344219937228	-0.0258138628395036	16.2645918691167	0.347821993722828
46	16.5044	17.0064039729139	-0.407942761985153	16.4103387890712	0.502003972913922
47	16.8312	16.7303631584488	0.375951132525402	16.5560857090258	-0.100836841551189
48	16.6387	15.930515397245	0.789424990511131	16.5574596122439	-0.708184602755006
49	14.3945	11.8229814653476	0.407185019190441	16.5588335154620	-2.57151853465240
50	19.6245	20.3416142840758	2.42169957775051	16.4856861381737	0.717114284075837
51	19.6288	23.5038239729444	-0.65876273382978	16.4125387608853	3.87502397294443
52	15.9543	17.0395847142346	-1.78580632027836	16.6548216060437	1.08528471423464
53	16.7469	18.2050905406625	-1.60839499186456	16.8971044512021	1.45819054066246
54	14.1022	9.62160881044854	1.30865298474485	17.2741382048066	-4.48059118955146
55	12.9999	7.58777037385247	0.760857667736386	17.6511719584111	-5.41212962614753
56	15.5888	15.0217143109622	-1.57705079968055	17.7329364887184	-0.567085689037825
57	13.8889	9.98891284381389	-0.0258138628395036	17.8147010190256	-3.89998715618611
58	22.9635	28.5664359861876	-0.407942761985153	17.7685067757976	5.6029359861876
59	25.9843	33.8703363349051	0.375951132525402	17.7223125325695	7.8860363349051
60	24.7658	30.9786869558165	0.789424990511131	17.7634880536724	6.21288695581646
61	15.834	13.4561514060342	0.407185019190441	17.8046635747753	-2.37784859396576
62	16.8708	13.6476233289024	2.42169957775051	17.6722770933471	-3.22317667109764
63	14.0299	11.1786721219108	-0.65876273382978	17.5398906119189	-2.85122787808917
64	13.311	11.2321807233669	-1.78580632027836	17.1756255969115	-2.07881927663314
65	17.3363	19.4696344099605	-1.60839499186456	16.8113605819041	2.13333440996050
66	16.9726	16.1271667518322	1.30865298474485	16.5093802634229	-0.845433248167751
67	15.9808	14.9933423873219	0.760857667736386	16.2073999449418	-0.987457612678137
68	14.6359	14.7484441399914	-1.57705079968055	16.1004066596891	0.112544139991424
69	16.2415	16.515400488403	-0.0258138628395036	15.9934133744365	0.273900488402994
70	16.7716	18.0650085583092	-0.407942761985153	15.8861342036760	1.29340855830919
71	18.1138	20.0727938345592	0.375951132525402	15.7788550329154	1.95899383455919
72	16.923	17.4052971050145	0.789424990511131	15.6512779044744	0.482297105014469
73	15.2454	14.5599142047762	0.407185019190441	15.5237007760334	-0.685485795223826
74	14.1948	10.5407220830599	2.42169957775051	15.4271783391896	-3.65407791694012
75	14.7886	14.9053068314839	-0.65876273382978	15.3306559023458	0.116706831483940
76	14.2537	15.0524378717396	-1.78580632027836	15.2407684485388	0.798737871739592
77	13.822	14.1015139971329	-1.60839499186456	15.1508809947317	0.279513997132856
78	14.8679	13.3294468713594	1.30865298474485	15.0977001438957	-1.53845312864058
79	16.1721	16.5388230392039	0.760857667736386	15.0445192930598	0.366723039203851
80	14.3985	15.3719575091412	-1.57705079968055	15.0020932905394	0.973457509141198
81	15.6683	16.4027465748206	-0.0258138628395036	14.9596672880189	0.73444657482056
82	15.5001	16.4829356128670	-0.407942761985153	14.9252071491181	0.982835612867023
83	15.3819	15.4971018572573	0.375951132525402	14.8907470102173	0.115201857257286
84	14.7056	13.7494673223933	0.789424990511131	14.8723076870956	-0.95613267760674
85	15.5139	15.7667466168356	0.407185019190441	14.8538683639739	0.252846616835649
86	14.9624	12.6560109909809	2.42169957775051	14.8470894312686	-2.30638900901909
87	12.0738	9.96605223526653	-0.65876273382978	14.8403104985632	-2.10774776473347
88	15.5528	18.069083649653	-1.78580632027836	14.8223226706253	2.51628364965302
89	14.563	15.9300601491771	-1.60839499186456	14.8043348426874	1.36706014917712
90	14.7874	13.5177177012574	1.30865298474485	14.7484293139978	-1.26968229874261
91	15.0512	14.6490185469555	0.760857667736386	14.6925237853081	-0.40218145304447
92	15.9781	18.9624478436203	-1.57705079968055	14.5708029560603	2.98434784362027
93	15.3603	16.2973317360270	-0.0258138628395036	14.4490821268125	0.937031736027016
94	13.7115	13.5387107418281	-0.407942761985153	14.2922320201571	-0.172789258171914
95	14.5146	14.5178669539730	0.375951132525402	14.1353819135016	0.00326695397295573
96	13.9188	13.0740993927922	0.789424990511131	13.9740756166967	-0.844700607207834
97	13.0261	11.8322456609178	0.407185019190441	13.8127693198918	-1.19385433908220
98	13.9764	11.8526055090871	2.42169957775051	13.6784949131624	-2.12379449091288
99	13.2546	13.6237422273968	-0.65876273382978	13.5442205064330	0.369142227396795
100	12.2547	12.812114039958	-1.78580632027836	13.4830922803204	0.557414039957997
101	12.5688	13.3240309376568	-1.60839499186456	13.4219640542077	0.755230937656814
102	14.4743	14.2391635417724	1.30865298474485	13.4007834734828	-0.235136458227601
103	14.2137	14.2869394395058	0.760857667736386	13.3796028927578	0.0732394395058495
104	11.8741	11.9831010653445	-1.57705079968055	13.3421497343360	0.109001065344534
105	13.8681	14.4573172869252	-0.0258138628395036	13.3046965759143	0.589217286925233
106	13.7831	14.6924831208428	-0.407942761985153	13.2816596411423	0.909383120842843
107	13.0991	12.5636261611043	0.375951132525402	13.2586227063703	-0.535473838895747
108	13.1558	12.3029219477931	0.789424990511131	13.2192530616958	-0.852878052206893
109	13.6596	13.7321315637884	0.407185019190441	13.1798834170212	0.072531563788381
110	12.3954	9.21988049078614	2.42169957775051	13.1492199314634	-3.17551950921386
111	13.6362	14.8126062879243	-0.65876273382978	13.1185564459055	1.17640628792425
112	13.5011	15.6861133642728	-1.78580632027836	13.1018929560056	2.18501336427279
113	13.3426	15.2083655257589	-1.60839499186456	13.0852294661056	1.86576552575895
114	11.871	9.30732957423813	1.30865298474485	13.1260174410170	-2.56367042576187
115	12.9011	11.8745369163352	0.760857667736386	13.1668054159284	-1.02656308366483
116	12.8245	13.9186403043103	-1.57705079968055	13.3074104953703	1.09414030431028
117	13.8754	14.3285982880274	-0.0258138628395036	13.4480155748121	0.453198288027398
118	12.6176	12.0062185366073	-0.407942761985153	13.6369242253778	-0.611381463392654
119	12.1219	10.0420159915311	0.375951132525402	13.8258328759435	-2.07988400846891
120	12.8179	10.8298219358583	0.789424990511131	14.0165530736305	-1.98807806414167
121	15.8357	17.0569417094920	0.407185019190441	14.2072732713176	1.22124170949198
122	15.7163	14.5969885003892	2.42169957775051	14.4139119218603	-1.11931149961081
123	18.815	23.6682121614268	-0.65876273382978	14.6205505724030	4.85321216142676
124	13.362	13.5787865221512	-1.78580632027836	14.9310197981272	0.21678652215118
125	13.5422	13.4513059680132	-1.60839499186456	15.2414890238513	-0.0908940319867799
126	15.2648	13.7044761322226	1.30865298474485	15.5164708830325	-1.56032386777738
127	14.5078	12.4632895900499	0.760857667736386	15.7914527422137	-2.04451040995010
128	14.5735	14.8083556249569	-1.57705079968055	15.9156951747236	0.234855624956943
129	14.9927	13.971276255606	-0.0258138628395036	16.0399376072335	-1.02142374439399
130	17.8571	19.8926027505168	-0.407942761985153	16.2295400114683	2.03550275051684
131	19.0408	21.2865064517715	0.375951132525402	16.4191424157031	2.24570645177147
132	17.7969	18.1550332908333	0.789424990511131	16.6493417186555	0.358133290833344
133	15.8286	14.3704739592016	0.407185019190441	16.8795410216079	-1.45812604079837
134	17.5709	15.7259714624099	2.42169957775051	16.9941289598396	-1.84492853759013
135	15.7649	15.0798458357585	-0.65876273382978	17.1087168980713	-0.685054164241532
136	17.6215	19.9053301489756	-1.78580632027836	17.1234761713028	2.28383014897556
137	19.0961	22.6623595473303	-1.60839499186456	17.1382354445343	3.56625954733027
138	16.6621	14.9914443608442	1.30865298474485	17.024102654411	-1.67065563915583
139	15.8726	14.0743724679759	0.760857667736386	16.9099698642877	-1.79822753202406
140	17.0163	19.0784655008672	-1.57705079968055	16.5311852988134	2.06216550086717
141	16.7818	17.4370131295004	-0.0258138628395036	16.1524007333391	0.655213129500421
142	16.9764	18.6950626002448	-0.407942761985153	15.6656801617404	1.71866260024478
143	18.0412	20.5274892773329	0.375951132525402	15.1789595901417	2.48628927733292
144	16.9914	18.4519070174723	0.789424990511131	14.7414679920166	1.46050701747229
145	13.017	11.3228385869181	0.407185019190441	14.3039763938915	-1.69416141308192
146	11.2511	6.17834368846124	2.42169957775051	13.9021567337882	-5.07275631153876
147	8.7563	4.67102566014476	-0.65876273382978	13.5003370736850	-4.08527433985524
148	13.5061	15.6962411457352	-1.78580632027836	13.1017651745432	2.19014114573519
149	14.3928	17.6908017164632	-1.60839499186456	12.7031932754013	3.29800171646323
150	11.8878	9.90123994923454	1.30865298474485	12.5657070660206	-1.98656005076546
151	12.2412	11.2933214756237	0.760857667736386	12.4282208566399	-0.947878524376284
152	12.7433	14.3428253006933	-1.57705079968055	12.7208254989872	1.59952530069333
153	13.0171	13.0465837215050	-0.0258138628395036	13.0134301413345	0.0294837215049615
154	10.185	7.46975517552167	-0.407942761985153	13.3081875864635	-2.71524482447833
155	11.1202	8.26150383588217	0.375951132525402	13.6029450315924	-2.85869616411783
156	11.8583	9.11573365214778	0.789424990511131	13.8114413573411	-2.74256634785222
157	14.4228	14.4184772977198	0.407185019190441	14.0199376830897	-0.00432270228018616
158	19.3069	21.8799710434037	2.42169957775051	14.3121293788458	2.57307104340373
159	24.8273	35.709041659228	-0.65876273382978	14.6043210746018	10.8817416592280
160	9.4106	5.45290291089972	-1.78580632027836	15.1541034093786	-3.95769708910028
161	9.5267	4.95790924770904	-1.60839499186456	15.7038857441555	-4.56879075229096
162	18.147	18.5647495793356	1.30865298474485	16.4205974359196	0.41774957933557
163	15.6664	13.4346332045800	0.760857667736386	17.1373091276836	-2.23176679542003
164	11.878	7.27235155949337	-1.57705079968055	18.0606992401872	-4.60564844050663
165	14.896	10.8337245101488	-0.0258138628395036	18.9840893526907	-4.06227548985123
166	23.4241	27.0653160667854	-0.407942761985153	20.1908266951997	3.64121606678541
167	20.7934	19.8132848297658	0.375951132525402	21.3975640377088	-0.980115170234164
168	21.6807	19.8269858521485	0.789424990511131	22.7449891573403	-1.85371414785146
169	24.5615	24.6234007038377	0.407185019190441	24.0924142769719	0.0619007038376544
170	33.3047	38.8444507358738	2.42169957775051	25.3432496863757	5.53975073587377
171	28.8488	31.7622776380503	-0.65876273382978	26.5940850957795	2.91347763805025
172	27.4256	28.8579476322076	-1.78580632027836	27.7790586880708	1.43234763220761
173	24.9276	22.4995627115026	-1.60839499186456	28.964032280362	-2.42803728849742
174	30.4733	29.8250118060248	1.30865298474485	29.8129352092304	-0.648288193975233
175	31.2514	31.0801041941648	0.760857667736386	30.6618381380988	-0.171295805835175
176	28.1746	27.0488152235342	-1.57705079968055	30.8774355761463	-1.12578477646576
177	30.2532	29.4391808486457	-0.0258138628395036	31.0930330141938	-0.814019151354334
178	37.7163	44.8153208470672	-0.407942761985153	31.0252219149179	7.09902084706725
179	36.7711	42.2088380518326	0.375951132525402	30.9574108156420	5.43773805183263
180	37.2103	42.7569633401895	0.789424990511131	30.8742116692994	5.54666334018945
181	29.7733	28.3484024578527	0.407185019190441	30.7910125229569	-1.42489754214730
182	28.7054	24.4557114559219	2.42169957775051	30.5333889663276	-4.2496885440781
183	21.4691	13.3211973241315	-0.65876273382978	30.2757654096983	-8.14790267586854
184	29.8793	31.8470908136052	-1.78580632027836	29.6973155066732	1.96779081360517
185	27.4682	27.4259293882165	-1.60839499186456	29.1188656036481	-0.0422706117835077
186	29.4168	28.8743561524343	1.30865298474485	28.6505908628208	-0.542443847565654
187	32.4803	36.0174262102701	0.760857667736386	28.1823161219935	3.53712621027007
188	28.0598	29.6775804690968	-1.57705079968055	28.0190703305838	1.61778046909678
189	32.6926	37.5551893236655	-0.0258138628395036	27.855824539174	4.86258932366551
190	21.6987	16.1967189593453	-0.407942761985153	27.6086238026399	-5.50198104065472
191	23.8075	19.8776258013689	0.375951132525402	27.3614230661057	-3.92987419863114
192	28.7614	29.7584366857418	0.789424990511131	26.9749383237471	0.997036685741769
193	29.2965	31.5973613994211	0.407185019190441	26.5884535813885	2.3008613994211
194	26.9925	25.1797430413657	2.42169957775051	26.3835573808838	-1.81275695863427
195	27.1056	28.6913015534507	-0.65876273382978	26.1786611803791	1.58570155345071
196	23.4546	22.4952835459458	-1.78580632027836	26.1997227743326	-0.959316454054228
197	22.5709	20.5294106235785	-1.60839499186456	26.2207843682861	-2.04148937642155
198	25.931	24.3402305225737	1.30865298474485	26.2131164926814	-1.59076947742629
199	25.812	24.6576937151868	0.760857667736386	26.2054486170768	-1.15430628481316
200	27.8976	31.2290400777900	-1.57705079968055	26.1432107218905	3.33144007779004
201	28.1191	30.1830410361353	-0.0258138628395036	26.0809728267042	2.06394103613526
202	24.2473	22.7070496366691	-0.407942761985153	26.1954931253161	-1.54025036333094
203	27.8898	29.0936354435467	0.375951132525402	26.3100134239279	1.20383544354665
204	28.9213	30.6871911868767	0.789424990511131	26.3659838226122	1.76589118687667
205	22.8764	18.9236607595131	0.407185019190441	26.4219542212964	-3.95273924048688
206	26.4694	24.2356783192957	2.42169957775051	26.2814221029538	-2.23372168070435
207	24.0496	22.6170727492186	-0.65876273382978	26.1408899846112	-1.43252725078144
208	29.8076	35.4462050467806	-1.78580632027836	25.9548012734977	5.63860504678064
209	28.2833	32.4062824294803	-1.60839499186456	25.7687125623842	4.12298242948034
210	24.9572	22.8893156943832	1.30865298474485	25.7164313208719	-2.06788430561679
211	23.3076	20.1901922529039	0.760857667736386	25.6641500793597	-3.11740774709606
212	27.1826	30.1471203428523	-1.57705079968055	25.7951304568282	2.96452034285232
213	21.938	17.9757030285427	-0.0258138628395036	25.9261108342968	-3.96229697145729
214	24.646	23.6636160090671	-0.407942761985153	26.036326752918	-0.98238399093286
215	24.7033	22.8841061959354	0.375951132525402	26.1465426715392	-1.81919380406464
216	23.9297	20.7000744782453	0.789424990511131	26.3699005312436	-3.22962552175472
217	27.6457	28.2909565898616	0.407185019190441	26.5932583909479	0.645256589861617
218	34.1204	38.7837017699182	2.42169957775051	27.0353986523313	4.6633017699182
219	29.9762	33.1336238201151	-0.65876273382978	27.4775389137146	3.15742382011515
220	24.0717	21.7243205887983	-1.78580632027836	28.2048857314801	-2.34737941120173
221	24.2096	21.095362442619	-1.60839499186456	28.9322325492455	-3.11423755738098
222	30.7268	30.2219932189547	1.30865298474485	29.9229537963005	-0.504806781045342
223	29.3278	26.9810672889082	0.760857667736386	30.9136750433555	-2.34673271109185
224	26.6673	22.6875718198064	-1.57705079968055	32.2240789798741	-3.97972818019358
225	30.8791	28.2495309464467	-0.0258138628395036	33.5344829163928	-2.6295690535533
226	34.4724	34.4495508120036	-0.407942761985153	34.9031919499815	-0.0228491879963926
227	39.3565	42.0651478839043	0.375951132525402	36.2719009835703	2.70864788390431
228	35.0205	31.6772796116972	0.789424990511131	37.5742953977916	-3.34322038830278
229	41.3922	43.5005251687966	0.407185019190441	38.876689812013	2.10832516879655
230	52.0461	61.7305708668138	2.42169957775051	39.9399295554357	9.68447086681383
231	48.5179	56.6913934349715	-0.65876273382978	41.0031692988583	8.17349343497146
232	35.2464	30.3898370376678	-1.78580632027836	41.8887692826105	-4.85656296233216
233	33.6008	26.0356257255018	-1.60839499186456	42.7743692663627	-7.56517427449817
234	48.2549	51.5526939268152	1.30865298474485	43.6484530884400	3.2977939268152
235	45.7259	46.1684054217464	0.760857667736386	44.5225369105172	0.442505421746432
236	40.4137	36.9824654056976	-1.57705079968055	45.421985393983	-3.43123459430244
237	39.4243	32.5529799853907	-0.0258138628395036	46.3214338774488	-6.8713200146093
238	47.8653	48.7654196254448	-0.407942761985153	47.3731231365404	0.90011962544478
239	49.3474	49.8940364718427	0.375951132525402	48.424812395632	0.546636471842653
240	52.1871	54.0219294453193	0.789424990511131	49.5628455641696	1.83482944531927
241	57.5617	64.0153362481023	0.407185019190441	50.7008787327073	6.45363624810228
242	57.794	61.5458410162902	2.42169957775051	51.6204594059593	3.75184101629018
243	47.4282	42.9751226546184	-0.65876273382978	52.5400400792114	-4.45307734538157
244	51.8171	52.5502633378036	-1.78580632027836	52.8697429824747	0.733163337803632
245	52.4815	53.3719491061264	-1.60839499186456	53.1994458857381	0.89044910612644
246	58.7493	63.2151643756754	1.30865298474485	52.9747826395797	4.46586437567544
247	55.4378	57.3646229388423	0.760857667736386	52.7501193934213	1.92682293884229
248	52.5811	54.1884366139898	-1.57705079968055	52.5508141856908	1.6073366139898
249	55.7091	59.0925048848793	-0.0258138628395036	52.3515089779602	3.38340488487931
250	46.7381	41.7724185712899	-0.407942761985153	52.1117241906953	-4.96568142871013
251	47.6976	43.1473094640442	0.375951132525402	51.8719394034304	-4.55029053595577
252	50.282	48.2753467866944	0.789424990511131	51.4992282227944	-2.00665321330556
253	50.2325	48.9312979386511	0.407185019190441	51.1265170421585	-1.30120206134892
254	52.3674	51.3159016719239	2.42169957775051	50.9971987503256	-1.05149832807614
255	62.7599	75.310682275337	-0.65876273382978	50.8678804584928	12.550782275337
256	44.9066	40.3043286628196	-1.78580632027836	51.2946776574587	-4.60227133718039
257	42.2269	34.3407201354399	-1.60839499186456	51.7214748564247	-7.88617986456015
258	55.2325	56.5808659554961	1.30865298474485	52.5754810597591	1.34836595549609
259	52.5685	50.9466550691702	0.760857667736386	53.4294872630934	-1.62184493082982
260	47.2648	41.8885634675060	-1.57705079968055	54.2180873321746	-5.37623653249405
261	50.2504	45.5199264615837	-0.0258138628395036	55.0066874012558	-4.73047353841627
262	62.8232	70.0455631561156	-0.407942761985153	56.0087796058696	7.22236315611559
263	57.7252	58.0635770569913	0.375951132525402	57.0108718104833	0.338377056991256
264	55.1692	50.7156211768033	0.789424990511131	58.8333538326856	-4.45357882319674
265	69.8474	78.6317791259217	0.407185019190441	60.6558358548879	8.7843791259217
266	77.0383	89.1636621016797	2.42169957775051	62.4912383205698	12.1253621016797
267	32.077	0.486121947578091	-0.65876273382978	64.3266407862517	-31.5908780524219
268	64.0862	64.921407406092	-1.78580632027836	65.0367989141864	0.83520740609201
269	62.4387	60.7388379497435	-1.60839499186456	65.746957042121	-1.69986205025647
270	85.2843	103.859779764739	1.30865298474485	65.4001672505161	18.5754797647391
271	85.9319	106.049564873352	0.760857667736386	65.0533774589112	20.1176648733524
272	66.1209	69.8406061674174	-1.57705079968055	63.9782446322632	3.71970616741736
273	80.1039	97.3305020572243	-0.0258138628395036	62.9031118056152	17.2266020572243
274	43.1188	25.8033438820589	-0.407942761985153	60.8421988799263	-17.3154561179411
275	55.2039	51.2505629132372	0.375951132525402	58.7812859542373	-3.95333708676275
276	69.9981	83.3676691453926	0.789424990511131	55.8391058640963	13.3695691453926
277	39.0474	24.7906892068543	0.407185019190441	52.8969257739552	-14.2567107931457
278	51.1313	49.3624852930135	2.42169957775051	50.478415129236	-1.76881470698653
279	51.6425	55.883858249313	-0.65876273382978	48.0599044845168	4.24135824931297
280	34.5613	23.9868435352531	-1.78580632027836	46.9215627850253	-10.5744564647469
281	34.2974	24.4199739063308	-1.60839499186456	45.7832210855338	-9.87742609366923
282	46.459	45.8836249053217	1.30865298474485	45.7257221099335	-0.575375094678314
283	49.5164	52.6037191979305	0.760857667736386	45.6682231343331	3.08731919793046
284	36.5235	28.0751607471389	-1.57705079968055	46.5488900525416	-8.44833925286105
285	42.8033	38.2028568920894	-0.0258138628395036	47.4295569707501	-4.60044310791056
286	52.0729	55.7238391219803	-0.407942761985153	48.8299036400048	3.65093912198033
287	49.7654	48.924598558215	0.375951132525402	50.2302503092596	-0.840801441784983
288	46.9331	41.3850855790778	0.789424990511131	51.6916894304111	-5.54801442092221
289	63.9929	74.425486429247	0.407185019190441	53.1531285515626	10.4325864292470
290	59.9151	62.7808108060858	2.42169957775051	54.6276896161637	2.86571080608581
291	54.4891	53.534712053065	-0.65876273382978	56.1022506807648	-0.954387946934972
292	53.9784	52.1769066917661	-1.78580632027836	57.5656996285123	-1.80149330823394
293	58.9178	60.4148464156047	-1.60839499186456	59.0291485762598	1.49704641560471
294	62.1816	62.598624871991	1.30865298474485	60.4559221432641	0.417024871991032
295	59.0665	55.4894466219952	0.760857667736386	61.8826957102684	-3.5770533780048
296	61.6167	61.5347393411055	-1.57705079968055	63.275711458575	-0.0819606588944595

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/1w8rb1292095956.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/1w8rb1292095956.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/26iqe1292095956.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/26iqe1292095956.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/36iqe1292095956.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/36iqe1292095956.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/4h97h1292095956.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/11/t1292095840l824rv7ewv6vgkb/4h97h1292095956.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')

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

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

We may request personal information to be submitted to our servers in order to be able to:

personalize online software applications according to your needs
enforce strict security rules with respect to the data that you upload (e.g. statistical data)
manage user sessions of online applications
alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

FreeStatistics.org is powered by