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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 23 May 2013 17:57:32 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/23/t13693462680dq57isscqjnc82.htm/, Retrieved Mon, 29 Apr 2024 16:57:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210391, Retrieved Mon, 29 Apr 2024 16:57:16 +0000

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Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [decompositie eige...] [2013-05-23 21:57:32] [d7a50540a947e9fbedfacb2b8473a515] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210391&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210391&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210391&T=0

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The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	100.44	NA	NA	1.00223460174241	NA
2	100.47	NA	NA	0.998605405436807	NA
3	100.49	NA	NA	0.998680354916065	NA
4	100.52	NA	NA	0.998493185427312	NA
5	100.47	NA	NA	0.998698169639976	NA
6	100.48	NA	NA	0.998319439145954	NA
7	100.48	100.410497817474	100.638333333333	0.997736096094667	1.00069218043966
8	100.53	100.547493391674	100.68125	0.998671484429062	0.999826018619824
9	100.62	100.688553346225	100.718333333333	0.999704324067699	0.999319154522069
10	100.89	101.014428658455	100.755833333333	1.00256655437772	0.998768209055795
11	100.97	101.133387945496	100.8	1.0033074200942	0.998384431206995
12	101.01	101.151667801883	100.850833333333	1.00298296462812	0.998599451645613
13	101.02	101.128394500065	100.902916666667	1.00223460174241	0.998928149699196
14	100.92	100.815873048215	100.956666666667	0.998605405436807	1.00103284283155
15	100.93	100.879615467774	101.012916666667	0.998680354916065	1.00049945206465
16	100.98	100.915626057002	101.067916666667	0.998493185427312	1.0006378986636
17	101.07	100.989191162469	101.120833333333	0.998698169639976	1.00080017313339
18	101.1	101.004137322726	101.174166666667	0.998319439145954	1.00094909654015
19	101.11	100.998330667423	101.2275	0.997736096094667	1.00110565523053
20	101.19	101.146280169212	101.280833333333	0.998671484429062	1.00043224358537
21	101.31	101.311702374894	101.341666666667	0.999704324067699	0.999983196660857
22	101.52	101.671527487637	101.41125	1.00256655437772	0.998509636951647
23	101.61	101.820235483502	101.484583333333	1.0033074200942	0.997935228861891
24	101.65	101.865457345044	101.5625	1.00298296462812	0.997884883152157
25	101.66	101.869630507603	101.6425	1.00223460174241	0.99794216876454
26	101.56	101.578557926618	101.720416666667	0.998605405436807	0.999817304685197
27	101.75	101.670237415415	101.804583333333	0.998680354916065	1.00078452245822
28	101.83	101.755192410416	101.90875	0.998493185427312	1.00073517220903
29	101.98	101.897590372604	102.030416666667	0.998698169639976	1.00080874952091
30	102.06	101.988313903151	102.16	0.998319439145954	1.00070288540036
31	102.07	102.059672439644	102.29125	0.997736096094667	1.00010119139234
32	102.1	102.27685951221	102.412916666667	0.998671484429062	0.998270776859464
33	102.42	102.495518911978	102.525833333333	0.999704324067699	0.999263197915585
34	102.91	102.900506988879	102.637083333333	1.00256655437772	1.00009225426967
35	103.14	103.084820877579	102.745	1.0033074200942	1.00053527883108
36	103.23	103.156797912002	102.85	1.00298296462812	1.00070961962255
37	103.23	103.183810629138	102.95375	1.00223460174241	1.0004476416463
38	102.91	102.91793742666	103.061666666667	0.998605405436807	0.999922876158829
39	103.11	103.028026581287	103.164166666667	0.998680354916065	1.00079564193777
40	103.14	103.099829900124	103.255416666667	0.998493185427312	1.00038962333803
41	103.26	103.211294589918	103.345833333333	0.998698169639976	1.0004719000016
42	103.3	103.262003120928	103.435833333333	0.998319439145954	1.0003679657369
43	103.32	103.289797901454	103.524166666667	0.997736096094667	1.00029240156492
44	103.44	103.475265293525	103.612916666667	0.998671484429062	0.999659191078905
45	103.54	103.663090253795	103.69375	0.999704324067699	0.99881259324323
46	103.98	104.027558890425	103.76125	1.00256655437772	0.999542824123414
47	104.24	104.16086808563	103.8175	1.0033074200942	1.00075970866818
48	104.29	104.176497259374	103.866666666667	1.00298296462812	1.00108952348765
49	104.29	104.146373444562	103.914166666667	1.00223460174241	1.00137908359829
50	103.98	103.828748773535	103.97375	0.998605405436807	1.00145673744749
51	103.98	103.908945877686	104.04625	0.998680354916065	1.0006838114054
52	103.89	103.959782156074	104.116666666667	0.998493185427312	0.999328758154102
53	103.86	104.042294691906	104.177916666667	0.998698169639976	0.998247878976085
54	103.88	104.055251108616	104.230416666667	0.998319439145954	0.998315787941996
55	103.88	104.045167270872	104.28125	0.997736096094667	0.998412542598523
56	104.31	104.191395970484	104.33	0.998671484429062	1.00113832844268
57	104.41	104.351220063528	104.382083333333	0.999704324067699	1.00056328940319
58	104.8	104.71974754901	104.451666666667	1.00256655437772	1.00076635451162
59	104.89	104.887429875681	104.541666666667	1.0033074200942	1.00002450364473
60	104.9	104.953391147393	104.64125	1.00298296462812	0.999491287067441
61	104.9	104.976557773005	104.7425	1.00223460174241	0.999270715532792
62	104.54	104.695038962752	104.84125	0.998605405436807	0.998519137446362
63	104.67	104.809838781183	104.948333333333	0.998680354916065	0.998665785742933
64	104.87	104.910430876366	105.06875	0.998493185427312	0.999614615286315
65	105.04	105.058470079515	105.195416666667	0.998698169639976	0.999824192380675
66	105.09	105.151322659511	105.328333333333	0.998319439145954	0.999416815138788
67	105.1	105.224990204504	105.46375	0.997736096094667	0.998812162355529
68	105.46	105.450554267102	105.590833333333	0.998671484429062	1.00008957499526
69	105.83	105.674162119045	105.705416666667	0.999704324067699	1.00147470183658
70	106.27	106.085744479349	105.814166666667	1.00256655437772	1.00173685466935
71	106.46	106.271158025895	105.920833333333	1.0033074200942	1.00177698236862
72	106.52	106.345447920383	106.029166666667	1.00298296462812	1.00164136860609
73	106.53	106.375927835688	106.13875	1.00223460174241	1.00144837434039
74	105.96	106.101408242075	106.249583333333	0.998605405436807	0.998667235012069
75	106	106.213816913469	106.354166666667	0.998680354916065	0.997986919972539
76	106.15	106.287103355774	106.4475	0.998493185427312	0.998710065930437
77	106.32	106.398390123782	106.537083333333	0.998698169639976	0.999263239568847
78	106.41	106.445810198937	106.625	0.998319439145954	0.999663582823313
79	106.41	NA	NA	0.997736096094667	NA
80	106.81	NA	NA	0.998671484429062	NA
81	106.99	NA	NA	0.999704324067699	NA
82	107.35	NA	NA	1.00256655437772	NA
83	107.53	NA	NA	1.0033074200942	NA
84	107.56	NA	NA	1.00298296462812	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 100.44 & NA & NA & 1.00223460174241 & NA \tabularnewline
2 & 100.47 & NA & NA & 0.998605405436807 & NA \tabularnewline
3 & 100.49 & NA & NA & 0.998680354916065 & NA \tabularnewline
4 & 100.52 & NA & NA & 0.998493185427312 & NA \tabularnewline
5 & 100.47 & NA & NA & 0.998698169639976 & NA \tabularnewline
6 & 100.48 & NA & NA & 0.998319439145954 & NA \tabularnewline
7 & 100.48 & 100.410497817474 & 100.638333333333 & 0.997736096094667 & 1.00069218043966 \tabularnewline
8 & 100.53 & 100.547493391674 & 100.68125 & 0.998671484429062 & 0.999826018619824 \tabularnewline
9 & 100.62 & 100.688553346225 & 100.718333333333 & 0.999704324067699 & 0.999319154522069 \tabularnewline
10 & 100.89 & 101.014428658455 & 100.755833333333 & 1.00256655437772 & 0.998768209055795 \tabularnewline
11 & 100.97 & 101.133387945496 & 100.8 & 1.0033074200942 & 0.998384431206995 \tabularnewline
12 & 101.01 & 101.151667801883 & 100.850833333333 & 1.00298296462812 & 0.998599451645613 \tabularnewline
13 & 101.02 & 101.128394500065 & 100.902916666667 & 1.00223460174241 & 0.998928149699196 \tabularnewline
14 & 100.92 & 100.815873048215 & 100.956666666667 & 0.998605405436807 & 1.00103284283155 \tabularnewline
15 & 100.93 & 100.879615467774 & 101.012916666667 & 0.998680354916065 & 1.00049945206465 \tabularnewline
16 & 100.98 & 100.915626057002 & 101.067916666667 & 0.998493185427312 & 1.0006378986636 \tabularnewline
17 & 101.07 & 100.989191162469 & 101.120833333333 & 0.998698169639976 & 1.00080017313339 \tabularnewline
18 & 101.1 & 101.004137322726 & 101.174166666667 & 0.998319439145954 & 1.00094909654015 \tabularnewline
19 & 101.11 & 100.998330667423 & 101.2275 & 0.997736096094667 & 1.00110565523053 \tabularnewline
20 & 101.19 & 101.146280169212 & 101.280833333333 & 0.998671484429062 & 1.00043224358537 \tabularnewline
21 & 101.31 & 101.311702374894 & 101.341666666667 & 0.999704324067699 & 0.999983196660857 \tabularnewline
22 & 101.52 & 101.671527487637 & 101.41125 & 1.00256655437772 & 0.998509636951647 \tabularnewline
23 & 101.61 & 101.820235483502 & 101.484583333333 & 1.0033074200942 & 0.997935228861891 \tabularnewline
24 & 101.65 & 101.865457345044 & 101.5625 & 1.00298296462812 & 0.997884883152157 \tabularnewline
25 & 101.66 & 101.869630507603 & 101.6425 & 1.00223460174241 & 0.99794216876454 \tabularnewline
26 & 101.56 & 101.578557926618 & 101.720416666667 & 0.998605405436807 & 0.999817304685197 \tabularnewline
27 & 101.75 & 101.670237415415 & 101.804583333333 & 0.998680354916065 & 1.00078452245822 \tabularnewline
28 & 101.83 & 101.755192410416 & 101.90875 & 0.998493185427312 & 1.00073517220903 \tabularnewline
29 & 101.98 & 101.897590372604 & 102.030416666667 & 0.998698169639976 & 1.00080874952091 \tabularnewline
30 & 102.06 & 101.988313903151 & 102.16 & 0.998319439145954 & 1.00070288540036 \tabularnewline
31 & 102.07 & 102.059672439644 & 102.29125 & 0.997736096094667 & 1.00010119139234 \tabularnewline
32 & 102.1 & 102.27685951221 & 102.412916666667 & 0.998671484429062 & 0.998270776859464 \tabularnewline
33 & 102.42 & 102.495518911978 & 102.525833333333 & 0.999704324067699 & 0.999263197915585 \tabularnewline
34 & 102.91 & 102.900506988879 & 102.637083333333 & 1.00256655437772 & 1.00009225426967 \tabularnewline
35 & 103.14 & 103.084820877579 & 102.745 & 1.0033074200942 & 1.00053527883108 \tabularnewline
36 & 103.23 & 103.156797912002 & 102.85 & 1.00298296462812 & 1.00070961962255 \tabularnewline
37 & 103.23 & 103.183810629138 & 102.95375 & 1.00223460174241 & 1.0004476416463 \tabularnewline
38 & 102.91 & 102.91793742666 & 103.061666666667 & 0.998605405436807 & 0.999922876158829 \tabularnewline
39 & 103.11 & 103.028026581287 & 103.164166666667 & 0.998680354916065 & 1.00079564193777 \tabularnewline
40 & 103.14 & 103.099829900124 & 103.255416666667 & 0.998493185427312 & 1.00038962333803 \tabularnewline
41 & 103.26 & 103.211294589918 & 103.345833333333 & 0.998698169639976 & 1.0004719000016 \tabularnewline
42 & 103.3 & 103.262003120928 & 103.435833333333 & 0.998319439145954 & 1.0003679657369 \tabularnewline
43 & 103.32 & 103.289797901454 & 103.524166666667 & 0.997736096094667 & 1.00029240156492 \tabularnewline
44 & 103.44 & 103.475265293525 & 103.612916666667 & 0.998671484429062 & 0.999659191078905 \tabularnewline
45 & 103.54 & 103.663090253795 & 103.69375 & 0.999704324067699 & 0.99881259324323 \tabularnewline
46 & 103.98 & 104.027558890425 & 103.76125 & 1.00256655437772 & 0.999542824123414 \tabularnewline
47 & 104.24 & 104.16086808563 & 103.8175 & 1.0033074200942 & 1.00075970866818 \tabularnewline
48 & 104.29 & 104.176497259374 & 103.866666666667 & 1.00298296462812 & 1.00108952348765 \tabularnewline
49 & 104.29 & 104.146373444562 & 103.914166666667 & 1.00223460174241 & 1.00137908359829 \tabularnewline
50 & 103.98 & 103.828748773535 & 103.97375 & 0.998605405436807 & 1.00145673744749 \tabularnewline
51 & 103.98 & 103.908945877686 & 104.04625 & 0.998680354916065 & 1.0006838114054 \tabularnewline
52 & 103.89 & 103.959782156074 & 104.116666666667 & 0.998493185427312 & 0.999328758154102 \tabularnewline
53 & 103.86 & 104.042294691906 & 104.177916666667 & 0.998698169639976 & 0.998247878976085 \tabularnewline
54 & 103.88 & 104.055251108616 & 104.230416666667 & 0.998319439145954 & 0.998315787941996 \tabularnewline
55 & 103.88 & 104.045167270872 & 104.28125 & 0.997736096094667 & 0.998412542598523 \tabularnewline
56 & 104.31 & 104.191395970484 & 104.33 & 0.998671484429062 & 1.00113832844268 \tabularnewline
57 & 104.41 & 104.351220063528 & 104.382083333333 & 0.999704324067699 & 1.00056328940319 \tabularnewline
58 & 104.8 & 104.71974754901 & 104.451666666667 & 1.00256655437772 & 1.00076635451162 \tabularnewline
59 & 104.89 & 104.887429875681 & 104.541666666667 & 1.0033074200942 & 1.00002450364473 \tabularnewline
60 & 104.9 & 104.953391147393 & 104.64125 & 1.00298296462812 & 0.999491287067441 \tabularnewline
61 & 104.9 & 104.976557773005 & 104.7425 & 1.00223460174241 & 0.999270715532792 \tabularnewline
62 & 104.54 & 104.695038962752 & 104.84125 & 0.998605405436807 & 0.998519137446362 \tabularnewline
63 & 104.67 & 104.809838781183 & 104.948333333333 & 0.998680354916065 & 0.998665785742933 \tabularnewline
64 & 104.87 & 104.910430876366 & 105.06875 & 0.998493185427312 & 0.999614615286315 \tabularnewline
65 & 105.04 & 105.058470079515 & 105.195416666667 & 0.998698169639976 & 0.999824192380675 \tabularnewline
66 & 105.09 & 105.151322659511 & 105.328333333333 & 0.998319439145954 & 0.999416815138788 \tabularnewline
67 & 105.1 & 105.224990204504 & 105.46375 & 0.997736096094667 & 0.998812162355529 \tabularnewline
68 & 105.46 & 105.450554267102 & 105.590833333333 & 0.998671484429062 & 1.00008957499526 \tabularnewline
69 & 105.83 & 105.674162119045 & 105.705416666667 & 0.999704324067699 & 1.00147470183658 \tabularnewline
70 & 106.27 & 106.085744479349 & 105.814166666667 & 1.00256655437772 & 1.00173685466935 \tabularnewline
71 & 106.46 & 106.271158025895 & 105.920833333333 & 1.0033074200942 & 1.00177698236862 \tabularnewline
72 & 106.52 & 106.345447920383 & 106.029166666667 & 1.00298296462812 & 1.00164136860609 \tabularnewline
73 & 106.53 & 106.375927835688 & 106.13875 & 1.00223460174241 & 1.00144837434039 \tabularnewline
74 & 105.96 & 106.101408242075 & 106.249583333333 & 0.998605405436807 & 0.998667235012069 \tabularnewline
75 & 106 & 106.213816913469 & 106.354166666667 & 0.998680354916065 & 0.997986919972539 \tabularnewline
76 & 106.15 & 106.287103355774 & 106.4475 & 0.998493185427312 & 0.998710065930437 \tabularnewline
77 & 106.32 & 106.398390123782 & 106.537083333333 & 0.998698169639976 & 0.999263239568847 \tabularnewline
78 & 106.41 & 106.445810198937 & 106.625 & 0.998319439145954 & 0.999663582823313 \tabularnewline
79 & 106.41 & NA & NA & 0.997736096094667 & NA \tabularnewline
80 & 106.81 & NA & NA & 0.998671484429062 & NA \tabularnewline
81 & 106.99 & NA & NA & 0.999704324067699 & NA \tabularnewline
82 & 107.35 & NA & NA & 1.00256655437772 & NA \tabularnewline
83 & 107.53 & NA & NA & 1.0033074200942 & NA \tabularnewline
84 & 107.56 & NA & NA & 1.00298296462812 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210391&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]100.44[/C][C]NA[/C][C]NA[/C][C]1.00223460174241[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]100.47[/C][C]NA[/C][C]NA[/C][C]0.998605405436807[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]100.49[/C][C]NA[/C][C]NA[/C][C]0.998680354916065[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]100.52[/C][C]NA[/C][C]NA[/C][C]0.998493185427312[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]100.47[/C][C]NA[/C][C]NA[/C][C]0.998698169639976[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]100.48[/C][C]NA[/C][C]NA[/C][C]0.998319439145954[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]100.48[/C][C]100.410497817474[/C][C]100.638333333333[/C][C]0.997736096094667[/C][C]1.00069218043966[/C][/ROW]
[ROW][C]8[/C][C]100.53[/C][C]100.547493391674[/C][C]100.68125[/C][C]0.998671484429062[/C][C]0.999826018619824[/C][/ROW]
[ROW][C]9[/C][C]100.62[/C][C]100.688553346225[/C][C]100.718333333333[/C][C]0.999704324067699[/C][C]0.999319154522069[/C][/ROW]
[ROW][C]10[/C][C]100.89[/C][C]101.014428658455[/C][C]100.755833333333[/C][C]1.00256655437772[/C][C]0.998768209055795[/C][/ROW]
[ROW][C]11[/C][C]100.97[/C][C]101.133387945496[/C][C]100.8[/C][C]1.0033074200942[/C][C]0.998384431206995[/C][/ROW]
[ROW][C]12[/C][C]101.01[/C][C]101.151667801883[/C][C]100.850833333333[/C][C]1.00298296462812[/C][C]0.998599451645613[/C][/ROW]
[ROW][C]13[/C][C]101.02[/C][C]101.128394500065[/C][C]100.902916666667[/C][C]1.00223460174241[/C][C]0.998928149699196[/C][/ROW]
[ROW][C]14[/C][C]100.92[/C][C]100.815873048215[/C][C]100.956666666667[/C][C]0.998605405436807[/C][C]1.00103284283155[/C][/ROW]
[ROW][C]15[/C][C]100.93[/C][C]100.879615467774[/C][C]101.012916666667[/C][C]0.998680354916065[/C][C]1.00049945206465[/C][/ROW]
[ROW][C]16[/C][C]100.98[/C][C]100.915626057002[/C][C]101.067916666667[/C][C]0.998493185427312[/C][C]1.0006378986636[/C][/ROW]
[ROW][C]17[/C][C]101.07[/C][C]100.989191162469[/C][C]101.120833333333[/C][C]0.998698169639976[/C][C]1.00080017313339[/C][/ROW]
[ROW][C]18[/C][C]101.1[/C][C]101.004137322726[/C][C]101.174166666667[/C][C]0.998319439145954[/C][C]1.00094909654015[/C][/ROW]
[ROW][C]19[/C][C]101.11[/C][C]100.998330667423[/C][C]101.2275[/C][C]0.997736096094667[/C][C]1.00110565523053[/C][/ROW]
[ROW][C]20[/C][C]101.19[/C][C]101.146280169212[/C][C]101.280833333333[/C][C]0.998671484429062[/C][C]1.00043224358537[/C][/ROW]
[ROW][C]21[/C][C]101.31[/C][C]101.311702374894[/C][C]101.341666666667[/C][C]0.999704324067699[/C][C]0.999983196660857[/C][/ROW]
[ROW][C]22[/C][C]101.52[/C][C]101.671527487637[/C][C]101.41125[/C][C]1.00256655437772[/C][C]0.998509636951647[/C][/ROW]
[ROW][C]23[/C][C]101.61[/C][C]101.820235483502[/C][C]101.484583333333[/C][C]1.0033074200942[/C][C]0.997935228861891[/C][/ROW]
[ROW][C]24[/C][C]101.65[/C][C]101.865457345044[/C][C]101.5625[/C][C]1.00298296462812[/C][C]0.997884883152157[/C][/ROW]
[ROW][C]25[/C][C]101.66[/C][C]101.869630507603[/C][C]101.6425[/C][C]1.00223460174241[/C][C]0.99794216876454[/C][/ROW]
[ROW][C]26[/C][C]101.56[/C][C]101.578557926618[/C][C]101.720416666667[/C][C]0.998605405436807[/C][C]0.999817304685197[/C][/ROW]
[ROW][C]27[/C][C]101.75[/C][C]101.670237415415[/C][C]101.804583333333[/C][C]0.998680354916065[/C][C]1.00078452245822[/C][/ROW]
[ROW][C]28[/C][C]101.83[/C][C]101.755192410416[/C][C]101.90875[/C][C]0.998493185427312[/C][C]1.00073517220903[/C][/ROW]
[ROW][C]29[/C][C]101.98[/C][C]101.897590372604[/C][C]102.030416666667[/C][C]0.998698169639976[/C][C]1.00080874952091[/C][/ROW]
[ROW][C]30[/C][C]102.06[/C][C]101.988313903151[/C][C]102.16[/C][C]0.998319439145954[/C][C]1.00070288540036[/C][/ROW]
[ROW][C]31[/C][C]102.07[/C][C]102.059672439644[/C][C]102.29125[/C][C]0.997736096094667[/C][C]1.00010119139234[/C][/ROW]
[ROW][C]32[/C][C]102.1[/C][C]102.27685951221[/C][C]102.412916666667[/C][C]0.998671484429062[/C][C]0.998270776859464[/C][/ROW]
[ROW][C]33[/C][C]102.42[/C][C]102.495518911978[/C][C]102.525833333333[/C][C]0.999704324067699[/C][C]0.999263197915585[/C][/ROW]
[ROW][C]34[/C][C]102.91[/C][C]102.900506988879[/C][C]102.637083333333[/C][C]1.00256655437772[/C][C]1.00009225426967[/C][/ROW]
[ROW][C]35[/C][C]103.14[/C][C]103.084820877579[/C][C]102.745[/C][C]1.0033074200942[/C][C]1.00053527883108[/C][/ROW]
[ROW][C]36[/C][C]103.23[/C][C]103.156797912002[/C][C]102.85[/C][C]1.00298296462812[/C][C]1.00070961962255[/C][/ROW]
[ROW][C]37[/C][C]103.23[/C][C]103.183810629138[/C][C]102.95375[/C][C]1.00223460174241[/C][C]1.0004476416463[/C][/ROW]
[ROW][C]38[/C][C]102.91[/C][C]102.91793742666[/C][C]103.061666666667[/C][C]0.998605405436807[/C][C]0.999922876158829[/C][/ROW]
[ROW][C]39[/C][C]103.11[/C][C]103.028026581287[/C][C]103.164166666667[/C][C]0.998680354916065[/C][C]1.00079564193777[/C][/ROW]
[ROW][C]40[/C][C]103.14[/C][C]103.099829900124[/C][C]103.255416666667[/C][C]0.998493185427312[/C][C]1.00038962333803[/C][/ROW]
[ROW][C]41[/C][C]103.26[/C][C]103.211294589918[/C][C]103.345833333333[/C][C]0.998698169639976[/C][C]1.0004719000016[/C][/ROW]
[ROW][C]42[/C][C]103.3[/C][C]103.262003120928[/C][C]103.435833333333[/C][C]0.998319439145954[/C][C]1.0003679657369[/C][/ROW]
[ROW][C]43[/C][C]103.32[/C][C]103.289797901454[/C][C]103.524166666667[/C][C]0.997736096094667[/C][C]1.00029240156492[/C][/ROW]
[ROW][C]44[/C][C]103.44[/C][C]103.475265293525[/C][C]103.612916666667[/C][C]0.998671484429062[/C][C]0.999659191078905[/C][/ROW]
[ROW][C]45[/C][C]103.54[/C][C]103.663090253795[/C][C]103.69375[/C][C]0.999704324067699[/C][C]0.99881259324323[/C][/ROW]
[ROW][C]46[/C][C]103.98[/C][C]104.027558890425[/C][C]103.76125[/C][C]1.00256655437772[/C][C]0.999542824123414[/C][/ROW]
[ROW][C]47[/C][C]104.24[/C][C]104.16086808563[/C][C]103.8175[/C][C]1.0033074200942[/C][C]1.00075970866818[/C][/ROW]
[ROW][C]48[/C][C]104.29[/C][C]104.176497259374[/C][C]103.866666666667[/C][C]1.00298296462812[/C][C]1.00108952348765[/C][/ROW]
[ROW][C]49[/C][C]104.29[/C][C]104.146373444562[/C][C]103.914166666667[/C][C]1.00223460174241[/C][C]1.00137908359829[/C][/ROW]
[ROW][C]50[/C][C]103.98[/C][C]103.828748773535[/C][C]103.97375[/C][C]0.998605405436807[/C][C]1.00145673744749[/C][/ROW]
[ROW][C]51[/C][C]103.98[/C][C]103.908945877686[/C][C]104.04625[/C][C]0.998680354916065[/C][C]1.0006838114054[/C][/ROW]
[ROW][C]52[/C][C]103.89[/C][C]103.959782156074[/C][C]104.116666666667[/C][C]0.998493185427312[/C][C]0.999328758154102[/C][/ROW]
[ROW][C]53[/C][C]103.86[/C][C]104.042294691906[/C][C]104.177916666667[/C][C]0.998698169639976[/C][C]0.998247878976085[/C][/ROW]
[ROW][C]54[/C][C]103.88[/C][C]104.055251108616[/C][C]104.230416666667[/C][C]0.998319439145954[/C][C]0.998315787941996[/C][/ROW]
[ROW][C]55[/C][C]103.88[/C][C]104.045167270872[/C][C]104.28125[/C][C]0.997736096094667[/C][C]0.998412542598523[/C][/ROW]
[ROW][C]56[/C][C]104.31[/C][C]104.191395970484[/C][C]104.33[/C][C]0.998671484429062[/C][C]1.00113832844268[/C][/ROW]
[ROW][C]57[/C][C]104.41[/C][C]104.351220063528[/C][C]104.382083333333[/C][C]0.999704324067699[/C][C]1.00056328940319[/C][/ROW]
[ROW][C]58[/C][C]104.8[/C][C]104.71974754901[/C][C]104.451666666667[/C][C]1.00256655437772[/C][C]1.00076635451162[/C][/ROW]
[ROW][C]59[/C][C]104.89[/C][C]104.887429875681[/C][C]104.541666666667[/C][C]1.0033074200942[/C][C]1.00002450364473[/C][/ROW]
[ROW][C]60[/C][C]104.9[/C][C]104.953391147393[/C][C]104.64125[/C][C]1.00298296462812[/C][C]0.999491287067441[/C][/ROW]
[ROW][C]61[/C][C]104.9[/C][C]104.976557773005[/C][C]104.7425[/C][C]1.00223460174241[/C][C]0.999270715532792[/C][/ROW]
[ROW][C]62[/C][C]104.54[/C][C]104.695038962752[/C][C]104.84125[/C][C]0.998605405436807[/C][C]0.998519137446362[/C][/ROW]
[ROW][C]63[/C][C]104.67[/C][C]104.809838781183[/C][C]104.948333333333[/C][C]0.998680354916065[/C][C]0.998665785742933[/C][/ROW]
[ROW][C]64[/C][C]104.87[/C][C]104.910430876366[/C][C]105.06875[/C][C]0.998493185427312[/C][C]0.999614615286315[/C][/ROW]
[ROW][C]65[/C][C]105.04[/C][C]105.058470079515[/C][C]105.195416666667[/C][C]0.998698169639976[/C][C]0.999824192380675[/C][/ROW]
[ROW][C]66[/C][C]105.09[/C][C]105.151322659511[/C][C]105.328333333333[/C][C]0.998319439145954[/C][C]0.999416815138788[/C][/ROW]
[ROW][C]67[/C][C]105.1[/C][C]105.224990204504[/C][C]105.46375[/C][C]0.997736096094667[/C][C]0.998812162355529[/C][/ROW]
[ROW][C]68[/C][C]105.46[/C][C]105.450554267102[/C][C]105.590833333333[/C][C]0.998671484429062[/C][C]1.00008957499526[/C][/ROW]
[ROW][C]69[/C][C]105.83[/C][C]105.674162119045[/C][C]105.705416666667[/C][C]0.999704324067699[/C][C]1.00147470183658[/C][/ROW]
[ROW][C]70[/C][C]106.27[/C][C]106.085744479349[/C][C]105.814166666667[/C][C]1.00256655437772[/C][C]1.00173685466935[/C][/ROW]
[ROW][C]71[/C][C]106.46[/C][C]106.271158025895[/C][C]105.920833333333[/C][C]1.0033074200942[/C][C]1.00177698236862[/C][/ROW]
[ROW][C]72[/C][C]106.52[/C][C]106.345447920383[/C][C]106.029166666667[/C][C]1.00298296462812[/C][C]1.00164136860609[/C][/ROW]
[ROW][C]73[/C][C]106.53[/C][C]106.375927835688[/C][C]106.13875[/C][C]1.00223460174241[/C][C]1.00144837434039[/C][/ROW]
[ROW][C]74[/C][C]105.96[/C][C]106.101408242075[/C][C]106.249583333333[/C][C]0.998605405436807[/C][C]0.998667235012069[/C][/ROW]
[ROW][C]75[/C][C]106[/C][C]106.213816913469[/C][C]106.354166666667[/C][C]0.998680354916065[/C][C]0.997986919972539[/C][/ROW]
[ROW][C]76[/C][C]106.15[/C][C]106.287103355774[/C][C]106.4475[/C][C]0.998493185427312[/C][C]0.998710065930437[/C][/ROW]
[ROW][C]77[/C][C]106.32[/C][C]106.398390123782[/C][C]106.537083333333[/C][C]0.998698169639976[/C][C]0.999263239568847[/C][/ROW]
[ROW][C]78[/C][C]106.41[/C][C]106.445810198937[/C][C]106.625[/C][C]0.998319439145954[/C][C]0.999663582823313[/C][/ROW]
[ROW][C]79[/C][C]106.41[/C][C]NA[/C][C]NA[/C][C]0.997736096094667[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]106.81[/C][C]NA[/C][C]NA[/C][C]0.998671484429062[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]106.99[/C][C]NA[/C][C]NA[/C][C]0.999704324067699[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]107.35[/C][C]NA[/C][C]NA[/C][C]1.00256655437772[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]107.53[/C][C]NA[/C][C]NA[/C][C]1.0033074200942[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]107.56[/C][C]NA[/C][C]NA[/C][C]1.00298296462812[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210391&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210391&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	100.44	NA	NA	1.00223460174241	NA
2	100.47	NA	NA	0.998605405436807	NA
3	100.49	NA	NA	0.998680354916065	NA
4	100.52	NA	NA	0.998493185427312	NA
5	100.47	NA	NA	0.998698169639976	NA
6	100.48	NA	NA	0.998319439145954	NA
7	100.48	100.410497817474	100.638333333333	0.997736096094667	1.00069218043966
8	100.53	100.547493391674	100.68125	0.998671484429062	0.999826018619824
9	100.62	100.688553346225	100.718333333333	0.999704324067699	0.999319154522069
10	100.89	101.014428658455	100.755833333333	1.00256655437772	0.998768209055795
11	100.97	101.133387945496	100.8	1.0033074200942	0.998384431206995
12	101.01	101.151667801883	100.850833333333	1.00298296462812	0.998599451645613
13	101.02	101.128394500065	100.902916666667	1.00223460174241	0.998928149699196
14	100.92	100.815873048215	100.956666666667	0.998605405436807	1.00103284283155
15	100.93	100.879615467774	101.012916666667	0.998680354916065	1.00049945206465
16	100.98	100.915626057002	101.067916666667	0.998493185427312	1.0006378986636
17	101.07	100.989191162469	101.120833333333	0.998698169639976	1.00080017313339
18	101.1	101.004137322726	101.174166666667	0.998319439145954	1.00094909654015
19	101.11	100.998330667423	101.2275	0.997736096094667	1.00110565523053
20	101.19	101.146280169212	101.280833333333	0.998671484429062	1.00043224358537
21	101.31	101.311702374894	101.341666666667	0.999704324067699	0.999983196660857
22	101.52	101.671527487637	101.41125	1.00256655437772	0.998509636951647
23	101.61	101.820235483502	101.484583333333	1.0033074200942	0.997935228861891
24	101.65	101.865457345044	101.5625	1.00298296462812	0.997884883152157
25	101.66	101.869630507603	101.6425	1.00223460174241	0.99794216876454
26	101.56	101.578557926618	101.720416666667	0.998605405436807	0.999817304685197
27	101.75	101.670237415415	101.804583333333	0.998680354916065	1.00078452245822
28	101.83	101.755192410416	101.90875	0.998493185427312	1.00073517220903
29	101.98	101.897590372604	102.030416666667	0.998698169639976	1.00080874952091
30	102.06	101.988313903151	102.16	0.998319439145954	1.00070288540036
31	102.07	102.059672439644	102.29125	0.997736096094667	1.00010119139234
32	102.1	102.27685951221	102.412916666667	0.998671484429062	0.998270776859464
33	102.42	102.495518911978	102.525833333333	0.999704324067699	0.999263197915585
34	102.91	102.900506988879	102.637083333333	1.00256655437772	1.00009225426967
35	103.14	103.084820877579	102.745	1.0033074200942	1.00053527883108
36	103.23	103.156797912002	102.85	1.00298296462812	1.00070961962255
37	103.23	103.183810629138	102.95375	1.00223460174241	1.0004476416463
38	102.91	102.91793742666	103.061666666667	0.998605405436807	0.999922876158829
39	103.11	103.028026581287	103.164166666667	0.998680354916065	1.00079564193777
40	103.14	103.099829900124	103.255416666667	0.998493185427312	1.00038962333803
41	103.26	103.211294589918	103.345833333333	0.998698169639976	1.0004719000016
42	103.3	103.262003120928	103.435833333333	0.998319439145954	1.0003679657369
43	103.32	103.289797901454	103.524166666667	0.997736096094667	1.00029240156492
44	103.44	103.475265293525	103.612916666667	0.998671484429062	0.999659191078905
45	103.54	103.663090253795	103.69375	0.999704324067699	0.99881259324323
46	103.98	104.027558890425	103.76125	1.00256655437772	0.999542824123414
47	104.24	104.16086808563	103.8175	1.0033074200942	1.00075970866818
48	104.29	104.176497259374	103.866666666667	1.00298296462812	1.00108952348765
49	104.29	104.146373444562	103.914166666667	1.00223460174241	1.00137908359829
50	103.98	103.828748773535	103.97375	0.998605405436807	1.00145673744749
51	103.98	103.908945877686	104.04625	0.998680354916065	1.0006838114054
52	103.89	103.959782156074	104.116666666667	0.998493185427312	0.999328758154102
53	103.86	104.042294691906	104.177916666667	0.998698169639976	0.998247878976085
54	103.88	104.055251108616	104.230416666667	0.998319439145954	0.998315787941996
55	103.88	104.045167270872	104.28125	0.997736096094667	0.998412542598523
56	104.31	104.191395970484	104.33	0.998671484429062	1.00113832844268
57	104.41	104.351220063528	104.382083333333	0.999704324067699	1.00056328940319
58	104.8	104.71974754901	104.451666666667	1.00256655437772	1.00076635451162
59	104.89	104.887429875681	104.541666666667	1.0033074200942	1.00002450364473
60	104.9	104.953391147393	104.64125	1.00298296462812	0.999491287067441
61	104.9	104.976557773005	104.7425	1.00223460174241	0.999270715532792
62	104.54	104.695038962752	104.84125	0.998605405436807	0.998519137446362
63	104.67	104.809838781183	104.948333333333	0.998680354916065	0.998665785742933
64	104.87	104.910430876366	105.06875	0.998493185427312	0.999614615286315
65	105.04	105.058470079515	105.195416666667	0.998698169639976	0.999824192380675
66	105.09	105.151322659511	105.328333333333	0.998319439145954	0.999416815138788
67	105.1	105.224990204504	105.46375	0.997736096094667	0.998812162355529
68	105.46	105.450554267102	105.590833333333	0.998671484429062	1.00008957499526
69	105.83	105.674162119045	105.705416666667	0.999704324067699	1.00147470183658
70	106.27	106.085744479349	105.814166666667	1.00256655437772	1.00173685466935
71	106.46	106.271158025895	105.920833333333	1.0033074200942	1.00177698236862
72	106.52	106.345447920383	106.029166666667	1.00298296462812	1.00164136860609
73	106.53	106.375927835688	106.13875	1.00223460174241	1.00144837434039
74	105.96	106.101408242075	106.249583333333	0.998605405436807	0.998667235012069
75	106	106.213816913469	106.354166666667	0.998680354916065	0.997986919972539
76	106.15	106.287103355774	106.4475	0.998493185427312	0.998710065930437
77	106.32	106.398390123782	106.537083333333	0.998698169639976	0.999263239568847
78	106.41	106.445810198937	106.625	0.998319439145954	0.999663582823313
79	106.41	NA	NA	0.997736096094667	NA
80	106.81	NA	NA	0.998671484429062	NA
81	106.99	NA	NA	0.999704324067699	NA
82	107.35	NA	NA	1.00256655437772	NA
83	107.53	NA	NA	1.0033074200942	NA
84	107.56	NA	NA	1.00298296462812	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code