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R Software Module

rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Sun, 16 Aug 2015 15:19:52 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Aug/16/t14397348241b0ac6s3hdt7ezg.htm/, Retrieved Sun, 19 May 2024 14:05:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280153, Retrieved Sun, 19 May 2024 14:05:44 +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] [Classical Deompos...] [2015-08-16 14:19:52] [0d8529ada52922935dd1fcf0fb375c74] [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	2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280153&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]2 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=280153&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280153&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	133448	NA	NA	1.04689	NA
2	132951	NA	NA	1.00798	NA
3	132447	NA	NA	0.995612	NA
4	131404	NA	NA	1.01031	NA
5	141722	NA	NA	1.07083	NA
6	141176	NA	NA	1.0547	NA
7	133448	131088	132622	0.988435	1.018
8	128310	124816	132514	0.941915	1.02799
9	128807	131348	132406	0.992016	0.980651
10	128807	118050	132213	0.892882	1.09112
11	129360	129256	132084	0.978589	1.00081
12	130354	134814	132192	1.01984	0.966915
13	131901	138818	132601	1.04689	0.950173
14	131901	134179	133116	1.00798	0.983026
15	130907	133066	133652	0.995612	0.983775
16	128310	135486	134104	1.01031	0.947037
17	141722	143947	134426	1.07083	0.984543
18	143766	142187	134812	1.0547	1.01111
19	140679	133615	135178	0.988435	1.05287
20	133448	127549	135415	0.941915	1.04625
21	136542	134525	135608	0.992016	1.01499
22	131901	121273	135822	0.892882	1.08764
23	133994	132997	135907	0.978589	1.0075
24	134995	138669	135971	1.01984	0.973505
25	136038	142481	136100	1.04689	0.954777
26	133448	137381	136294	1.00798	0.971369
27	133994	136080	136680	0.995612	0.984669
28	130354	138523	137110	1.01031	0.941028
29	141722	147373	137625	1.07083	0.961653
30	145313	145811	138249	1.0547	0.996582
31	142226	137225	138830	0.988435	1.03645
32	136542	131212	139304	0.941915	1.04062
33	142723	138767	139883	0.992016	1.02851
34	136038	125743	140829	0.892882	1.08187
35	142226	138781	141818	0.978589	1.02482
36	141722	145310	142483	1.01984	0.97531
37	143269	149387	142697	1.04689	0.959044
38	137585	143900	142761	1.00798	0.956113
39	143766	142242	142869	0.995612	1.01072
40	143269	144385	142912	1.01031	0.992272
41	152544	153012	142891	1.07083	0.996942
42	150451	150730	142912	1.0547	0.998151
43	142226	141364	143018	0.988435	1.0061
44	138082	134873	143191	0.941915	1.02379
45	143766	142112	143255	0.992016	1.01164
46	136038	127909	143254	0.892882	1.06356
47	141722	140122	143187	0.978589	1.01142
48	142723	145700	142865	1.01984	0.979568
49	144816	149205	142522	1.04689	0.970586
50	140182	143293	142159	1.00798	0.978288
51	142723	141088	141710	0.995612	1.01159
52	144270	142348	140896	1.01031	1.0135
53	149954	149703	139801	1.07083	1.00168
54	145313	146565	138963	1.0547	0.991455
55	139132	136783	138384	0.988435	1.01717
56	132447	129819	137824	0.941915	1.02024
57	138635	135980	137074	0.992016	1.01953
58	121625	121569	136153	0.892882	1.00046
59	129857	132189	135081	0.978589	0.982362
60	134491	136557	133901	1.01984	0.984868
61	139132	138898	132677	1.04689	1.00169
62	132447	132524	131474	1.00798	0.999422
63	132447	129656	130228	0.995612	1.02152
64	132447	130266	128937	1.01031	1.01674
65	136038	136804	127755	1.07083	0.9944
66	130907	133611	126681	1.0547	0.979759
67	124173	124050	125501	0.988435	1.00099
68	118538	116998	124213	0.941915	1.01316
69	122626	122005	122987	0.992016	1.00509
70	106666	108680	121718	0.892882	0.981472
71	116445	117872	120450	0.978589	0.987898
72	122129	121679	119311	1.01984	1.0037
73	123172	123759	118216	1.04689	0.995256
74	117488	118056	117121	1.00798	0.995187
75	117985	115730	116240	0.995612	1.01948
76	116445	116615	115426	1.01031	0.99854
77	121625	122707	114590	1.07083	0.991184
78	117985	120090	113861	1.0547	0.982475
79	110810	111778	113086	0.988435	0.991339
80	105623	105707	112226	0.941915	0.999205
81	114394	110159	111046	0.992016	1.03844
82	95347	97887.4	109631	0.892882	0.974048
83	107716	105960	108278	0.978589	1.01657
84	113351	109003	106882	1.01984	1.03989
85	113351	110254	105316	1.04689	1.02809
86	106666	104403	103577	1.00798	1.02167
87	100485	101263	101709	0.995612	0.992321
88	99988	100891	99862	1.01031	0.991048
89	105623	105187	98229	1.07083	1.00415
90	100485	102130	96832.5	1.0547	0.983897
91	90713	94545.9	95652.1	0.988435	0.95946
92	83979	89125.5	94621.6	0.941915	0.942256
93	91210	92843.9	93591.2	0.992016	0.982401
94	74207	82818.2	92753.8	0.892882	0.896023
95	89663	90031.8	92001.6	0.978589	0.995904
96	97888	93059.9	91249.4	1.01984	1.05188
97	100485	94648.7	90409.7	1.04689	1.06166
98	94801	90027.3	89314.5	1.00798	1.05303
99	87619	87726.8	88113.4	0.995612	0.998772
100	92757	87784.7	86889.2	1.01031	1.05664
101	94801	91824.3	85750.6	1.07083	1.03242
102	93254	89151.1	84527	1.0547	1.04602
103	77791	82319.4	83282.5	0.988435	0.94499
104	70616	77272.5	82037.7	0.941915	0.913857
105	75747	80061.3	80705.6	0.992016	0.946113
106	60291	70832.2	79329.8	0.892882	0.851181
107	76251	76244.2	77912.3	0.978589	1.00009
108	81935	77904.6	76389	1.01984	1.05174
109	86569	78265.3	74760	1.04689	1.1061
110	78841	73733.5	73149.7	1.00798	1.06927
111	71610	71287.4	71601.5	0.995612	1.00453
112	75747	70754.4	70032.7	1.01031	1.07056
113	77791	73359.6	68507.2	1.07083	1.06041
114	73703	71010	67326.9	1.0547	1.03792
115	58247	NA	NA	0.988435	NA
116	51513	NA	NA	0.941915	NA
117	57694	NA	NA	0.992016	NA
118	40691	NA	NA	0.892882	NA
119	59241	NA	NA	0.978589	NA
120	70616	NA	NA	1.01984	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 133448 & NA & NA & 1.04689 & NA \tabularnewline
2 & 132951 & NA & NA & 1.00798 & NA \tabularnewline
3 & 132447 & NA & NA & 0.995612 & NA \tabularnewline
4 & 131404 & NA & NA & 1.01031 & NA \tabularnewline
5 & 141722 & NA & NA & 1.07083 & NA \tabularnewline
6 & 141176 & NA & NA & 1.0547 & NA \tabularnewline
7 & 133448 & 131088 & 132622 & 0.988435 & 1.018 \tabularnewline
8 & 128310 & 124816 & 132514 & 0.941915 & 1.02799 \tabularnewline
9 & 128807 & 131348 & 132406 & 0.992016 & 0.980651 \tabularnewline
10 & 128807 & 118050 & 132213 & 0.892882 & 1.09112 \tabularnewline
11 & 129360 & 129256 & 132084 & 0.978589 & 1.00081 \tabularnewline
12 & 130354 & 134814 & 132192 & 1.01984 & 0.966915 \tabularnewline
13 & 131901 & 138818 & 132601 & 1.04689 & 0.950173 \tabularnewline
14 & 131901 & 134179 & 133116 & 1.00798 & 0.983026 \tabularnewline
15 & 130907 & 133066 & 133652 & 0.995612 & 0.983775 \tabularnewline
16 & 128310 & 135486 & 134104 & 1.01031 & 0.947037 \tabularnewline
17 & 141722 & 143947 & 134426 & 1.07083 & 0.984543 \tabularnewline
18 & 143766 & 142187 & 134812 & 1.0547 & 1.01111 \tabularnewline
19 & 140679 & 133615 & 135178 & 0.988435 & 1.05287 \tabularnewline
20 & 133448 & 127549 & 135415 & 0.941915 & 1.04625 \tabularnewline
21 & 136542 & 134525 & 135608 & 0.992016 & 1.01499 \tabularnewline
22 & 131901 & 121273 & 135822 & 0.892882 & 1.08764 \tabularnewline
23 & 133994 & 132997 & 135907 & 0.978589 & 1.0075 \tabularnewline
24 & 134995 & 138669 & 135971 & 1.01984 & 0.973505 \tabularnewline
25 & 136038 & 142481 & 136100 & 1.04689 & 0.954777 \tabularnewline
26 & 133448 & 137381 & 136294 & 1.00798 & 0.971369 \tabularnewline
27 & 133994 & 136080 & 136680 & 0.995612 & 0.984669 \tabularnewline
28 & 130354 & 138523 & 137110 & 1.01031 & 0.941028 \tabularnewline
29 & 141722 & 147373 & 137625 & 1.07083 & 0.961653 \tabularnewline
30 & 145313 & 145811 & 138249 & 1.0547 & 0.996582 \tabularnewline
31 & 142226 & 137225 & 138830 & 0.988435 & 1.03645 \tabularnewline
32 & 136542 & 131212 & 139304 & 0.941915 & 1.04062 \tabularnewline
33 & 142723 & 138767 & 139883 & 0.992016 & 1.02851 \tabularnewline
34 & 136038 & 125743 & 140829 & 0.892882 & 1.08187 \tabularnewline
35 & 142226 & 138781 & 141818 & 0.978589 & 1.02482 \tabularnewline
36 & 141722 & 145310 & 142483 & 1.01984 & 0.97531 \tabularnewline
37 & 143269 & 149387 & 142697 & 1.04689 & 0.959044 \tabularnewline
38 & 137585 & 143900 & 142761 & 1.00798 & 0.956113 \tabularnewline
39 & 143766 & 142242 & 142869 & 0.995612 & 1.01072 \tabularnewline
40 & 143269 & 144385 & 142912 & 1.01031 & 0.992272 \tabularnewline
41 & 152544 & 153012 & 142891 & 1.07083 & 0.996942 \tabularnewline
42 & 150451 & 150730 & 142912 & 1.0547 & 0.998151 \tabularnewline
43 & 142226 & 141364 & 143018 & 0.988435 & 1.0061 \tabularnewline
44 & 138082 & 134873 & 143191 & 0.941915 & 1.02379 \tabularnewline
45 & 143766 & 142112 & 143255 & 0.992016 & 1.01164 \tabularnewline
46 & 136038 & 127909 & 143254 & 0.892882 & 1.06356 \tabularnewline
47 & 141722 & 140122 & 143187 & 0.978589 & 1.01142 \tabularnewline
48 & 142723 & 145700 & 142865 & 1.01984 & 0.979568 \tabularnewline
49 & 144816 & 149205 & 142522 & 1.04689 & 0.970586 \tabularnewline
50 & 140182 & 143293 & 142159 & 1.00798 & 0.978288 \tabularnewline
51 & 142723 & 141088 & 141710 & 0.995612 & 1.01159 \tabularnewline
52 & 144270 & 142348 & 140896 & 1.01031 & 1.0135 \tabularnewline
53 & 149954 & 149703 & 139801 & 1.07083 & 1.00168 \tabularnewline
54 & 145313 & 146565 & 138963 & 1.0547 & 0.991455 \tabularnewline
55 & 139132 & 136783 & 138384 & 0.988435 & 1.01717 \tabularnewline
56 & 132447 & 129819 & 137824 & 0.941915 & 1.02024 \tabularnewline
57 & 138635 & 135980 & 137074 & 0.992016 & 1.01953 \tabularnewline
58 & 121625 & 121569 & 136153 & 0.892882 & 1.00046 \tabularnewline
59 & 129857 & 132189 & 135081 & 0.978589 & 0.982362 \tabularnewline
60 & 134491 & 136557 & 133901 & 1.01984 & 0.984868 \tabularnewline
61 & 139132 & 138898 & 132677 & 1.04689 & 1.00169 \tabularnewline
62 & 132447 & 132524 & 131474 & 1.00798 & 0.999422 \tabularnewline
63 & 132447 & 129656 & 130228 & 0.995612 & 1.02152 \tabularnewline
64 & 132447 & 130266 & 128937 & 1.01031 & 1.01674 \tabularnewline
65 & 136038 & 136804 & 127755 & 1.07083 & 0.9944 \tabularnewline
66 & 130907 & 133611 & 126681 & 1.0547 & 0.979759 \tabularnewline
67 & 124173 & 124050 & 125501 & 0.988435 & 1.00099 \tabularnewline
68 & 118538 & 116998 & 124213 & 0.941915 & 1.01316 \tabularnewline
69 & 122626 & 122005 & 122987 & 0.992016 & 1.00509 \tabularnewline
70 & 106666 & 108680 & 121718 & 0.892882 & 0.981472 \tabularnewline
71 & 116445 & 117872 & 120450 & 0.978589 & 0.987898 \tabularnewline
72 & 122129 & 121679 & 119311 & 1.01984 & 1.0037 \tabularnewline
73 & 123172 & 123759 & 118216 & 1.04689 & 0.995256 \tabularnewline
74 & 117488 & 118056 & 117121 & 1.00798 & 0.995187 \tabularnewline
75 & 117985 & 115730 & 116240 & 0.995612 & 1.01948 \tabularnewline
76 & 116445 & 116615 & 115426 & 1.01031 & 0.99854 \tabularnewline
77 & 121625 & 122707 & 114590 & 1.07083 & 0.991184 \tabularnewline
78 & 117985 & 120090 & 113861 & 1.0547 & 0.982475 \tabularnewline
79 & 110810 & 111778 & 113086 & 0.988435 & 0.991339 \tabularnewline
80 & 105623 & 105707 & 112226 & 0.941915 & 0.999205 \tabularnewline
81 & 114394 & 110159 & 111046 & 0.992016 & 1.03844 \tabularnewline
82 & 95347 & 97887.4 & 109631 & 0.892882 & 0.974048 \tabularnewline
83 & 107716 & 105960 & 108278 & 0.978589 & 1.01657 \tabularnewline
84 & 113351 & 109003 & 106882 & 1.01984 & 1.03989 \tabularnewline
85 & 113351 & 110254 & 105316 & 1.04689 & 1.02809 \tabularnewline
86 & 106666 & 104403 & 103577 & 1.00798 & 1.02167 \tabularnewline
87 & 100485 & 101263 & 101709 & 0.995612 & 0.992321 \tabularnewline
88 & 99988 & 100891 & 99862 & 1.01031 & 0.991048 \tabularnewline
89 & 105623 & 105187 & 98229 & 1.07083 & 1.00415 \tabularnewline
90 & 100485 & 102130 & 96832.5 & 1.0547 & 0.983897 \tabularnewline
91 & 90713 & 94545.9 & 95652.1 & 0.988435 & 0.95946 \tabularnewline
92 & 83979 & 89125.5 & 94621.6 & 0.941915 & 0.942256 \tabularnewline
93 & 91210 & 92843.9 & 93591.2 & 0.992016 & 0.982401 \tabularnewline
94 & 74207 & 82818.2 & 92753.8 & 0.892882 & 0.896023 \tabularnewline
95 & 89663 & 90031.8 & 92001.6 & 0.978589 & 0.995904 \tabularnewline
96 & 97888 & 93059.9 & 91249.4 & 1.01984 & 1.05188 \tabularnewline
97 & 100485 & 94648.7 & 90409.7 & 1.04689 & 1.06166 \tabularnewline
98 & 94801 & 90027.3 & 89314.5 & 1.00798 & 1.05303 \tabularnewline
99 & 87619 & 87726.8 & 88113.4 & 0.995612 & 0.998772 \tabularnewline
100 & 92757 & 87784.7 & 86889.2 & 1.01031 & 1.05664 \tabularnewline
101 & 94801 & 91824.3 & 85750.6 & 1.07083 & 1.03242 \tabularnewline
102 & 93254 & 89151.1 & 84527 & 1.0547 & 1.04602 \tabularnewline
103 & 77791 & 82319.4 & 83282.5 & 0.988435 & 0.94499 \tabularnewline
104 & 70616 & 77272.5 & 82037.7 & 0.941915 & 0.913857 \tabularnewline
105 & 75747 & 80061.3 & 80705.6 & 0.992016 & 0.946113 \tabularnewline
106 & 60291 & 70832.2 & 79329.8 & 0.892882 & 0.851181 \tabularnewline
107 & 76251 & 76244.2 & 77912.3 & 0.978589 & 1.00009 \tabularnewline
108 & 81935 & 77904.6 & 76389 & 1.01984 & 1.05174 \tabularnewline
109 & 86569 & 78265.3 & 74760 & 1.04689 & 1.1061 \tabularnewline
110 & 78841 & 73733.5 & 73149.7 & 1.00798 & 1.06927 \tabularnewline
111 & 71610 & 71287.4 & 71601.5 & 0.995612 & 1.00453 \tabularnewline
112 & 75747 & 70754.4 & 70032.7 & 1.01031 & 1.07056 \tabularnewline
113 & 77791 & 73359.6 & 68507.2 & 1.07083 & 1.06041 \tabularnewline
114 & 73703 & 71010 & 67326.9 & 1.0547 & 1.03792 \tabularnewline
115 & 58247 & NA & NA & 0.988435 & NA \tabularnewline
116 & 51513 & NA & NA & 0.941915 & NA \tabularnewline
117 & 57694 & NA & NA & 0.992016 & NA \tabularnewline
118 & 40691 & NA & NA & 0.892882 & NA \tabularnewline
119 & 59241 & NA & NA & 0.978589 & NA \tabularnewline
120 & 70616 & NA & NA & 1.01984 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280153&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]133448[/C][C]NA[/C][C]NA[/C][C]1.04689[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]132951[/C][C]NA[/C][C]NA[/C][C]1.00798[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]132447[/C][C]NA[/C][C]NA[/C][C]0.995612[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]131404[/C][C]NA[/C][C]NA[/C][C]1.01031[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]141722[/C][C]NA[/C][C]NA[/C][C]1.07083[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]141176[/C][C]NA[/C][C]NA[/C][C]1.0547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]133448[/C][C]131088[/C][C]132622[/C][C]0.988435[/C][C]1.018[/C][/ROW]
[ROW][C]8[/C][C]128310[/C][C]124816[/C][C]132514[/C][C]0.941915[/C][C]1.02799[/C][/ROW]
[ROW][C]9[/C][C]128807[/C][C]131348[/C][C]132406[/C][C]0.992016[/C][C]0.980651[/C][/ROW]
[ROW][C]10[/C][C]128807[/C][C]118050[/C][C]132213[/C][C]0.892882[/C][C]1.09112[/C][/ROW]
[ROW][C]11[/C][C]129360[/C][C]129256[/C][C]132084[/C][C]0.978589[/C][C]1.00081[/C][/ROW]
[ROW][C]12[/C][C]130354[/C][C]134814[/C][C]132192[/C][C]1.01984[/C][C]0.966915[/C][/ROW]
[ROW][C]13[/C][C]131901[/C][C]138818[/C][C]132601[/C][C]1.04689[/C][C]0.950173[/C][/ROW]
[ROW][C]14[/C][C]131901[/C][C]134179[/C][C]133116[/C][C]1.00798[/C][C]0.983026[/C][/ROW]
[ROW][C]15[/C][C]130907[/C][C]133066[/C][C]133652[/C][C]0.995612[/C][C]0.983775[/C][/ROW]
[ROW][C]16[/C][C]128310[/C][C]135486[/C][C]134104[/C][C]1.01031[/C][C]0.947037[/C][/ROW]
[ROW][C]17[/C][C]141722[/C][C]143947[/C][C]134426[/C][C]1.07083[/C][C]0.984543[/C][/ROW]
[ROW][C]18[/C][C]143766[/C][C]142187[/C][C]134812[/C][C]1.0547[/C][C]1.01111[/C][/ROW]
[ROW][C]19[/C][C]140679[/C][C]133615[/C][C]135178[/C][C]0.988435[/C][C]1.05287[/C][/ROW]
[ROW][C]20[/C][C]133448[/C][C]127549[/C][C]135415[/C][C]0.941915[/C][C]1.04625[/C][/ROW]
[ROW][C]21[/C][C]136542[/C][C]134525[/C][C]135608[/C][C]0.992016[/C][C]1.01499[/C][/ROW]
[ROW][C]22[/C][C]131901[/C][C]121273[/C][C]135822[/C][C]0.892882[/C][C]1.08764[/C][/ROW]
[ROW][C]23[/C][C]133994[/C][C]132997[/C][C]135907[/C][C]0.978589[/C][C]1.0075[/C][/ROW]
[ROW][C]24[/C][C]134995[/C][C]138669[/C][C]135971[/C][C]1.01984[/C][C]0.973505[/C][/ROW]
[ROW][C]25[/C][C]136038[/C][C]142481[/C][C]136100[/C][C]1.04689[/C][C]0.954777[/C][/ROW]
[ROW][C]26[/C][C]133448[/C][C]137381[/C][C]136294[/C][C]1.00798[/C][C]0.971369[/C][/ROW]
[ROW][C]27[/C][C]133994[/C][C]136080[/C][C]136680[/C][C]0.995612[/C][C]0.984669[/C][/ROW]
[ROW][C]28[/C][C]130354[/C][C]138523[/C][C]137110[/C][C]1.01031[/C][C]0.941028[/C][/ROW]
[ROW][C]29[/C][C]141722[/C][C]147373[/C][C]137625[/C][C]1.07083[/C][C]0.961653[/C][/ROW]
[ROW][C]30[/C][C]145313[/C][C]145811[/C][C]138249[/C][C]1.0547[/C][C]0.996582[/C][/ROW]
[ROW][C]31[/C][C]142226[/C][C]137225[/C][C]138830[/C][C]0.988435[/C][C]1.03645[/C][/ROW]
[ROW][C]32[/C][C]136542[/C][C]131212[/C][C]139304[/C][C]0.941915[/C][C]1.04062[/C][/ROW]
[ROW][C]33[/C][C]142723[/C][C]138767[/C][C]139883[/C][C]0.992016[/C][C]1.02851[/C][/ROW]
[ROW][C]34[/C][C]136038[/C][C]125743[/C][C]140829[/C][C]0.892882[/C][C]1.08187[/C][/ROW]
[ROW][C]35[/C][C]142226[/C][C]138781[/C][C]141818[/C][C]0.978589[/C][C]1.02482[/C][/ROW]
[ROW][C]36[/C][C]141722[/C][C]145310[/C][C]142483[/C][C]1.01984[/C][C]0.97531[/C][/ROW]
[ROW][C]37[/C][C]143269[/C][C]149387[/C][C]142697[/C][C]1.04689[/C][C]0.959044[/C][/ROW]
[ROW][C]38[/C][C]137585[/C][C]143900[/C][C]142761[/C][C]1.00798[/C][C]0.956113[/C][/ROW]
[ROW][C]39[/C][C]143766[/C][C]142242[/C][C]142869[/C][C]0.995612[/C][C]1.01072[/C][/ROW]
[ROW][C]40[/C][C]143269[/C][C]144385[/C][C]142912[/C][C]1.01031[/C][C]0.992272[/C][/ROW]
[ROW][C]41[/C][C]152544[/C][C]153012[/C][C]142891[/C][C]1.07083[/C][C]0.996942[/C][/ROW]
[ROW][C]42[/C][C]150451[/C][C]150730[/C][C]142912[/C][C]1.0547[/C][C]0.998151[/C][/ROW]
[ROW][C]43[/C][C]142226[/C][C]141364[/C][C]143018[/C][C]0.988435[/C][C]1.0061[/C][/ROW]
[ROW][C]44[/C][C]138082[/C][C]134873[/C][C]143191[/C][C]0.941915[/C][C]1.02379[/C][/ROW]
[ROW][C]45[/C][C]143766[/C][C]142112[/C][C]143255[/C][C]0.992016[/C][C]1.01164[/C][/ROW]
[ROW][C]46[/C][C]136038[/C][C]127909[/C][C]143254[/C][C]0.892882[/C][C]1.06356[/C][/ROW]
[ROW][C]47[/C][C]141722[/C][C]140122[/C][C]143187[/C][C]0.978589[/C][C]1.01142[/C][/ROW]
[ROW][C]48[/C][C]142723[/C][C]145700[/C][C]142865[/C][C]1.01984[/C][C]0.979568[/C][/ROW]
[ROW][C]49[/C][C]144816[/C][C]149205[/C][C]142522[/C][C]1.04689[/C][C]0.970586[/C][/ROW]
[ROW][C]50[/C][C]140182[/C][C]143293[/C][C]142159[/C][C]1.00798[/C][C]0.978288[/C][/ROW]
[ROW][C]51[/C][C]142723[/C][C]141088[/C][C]141710[/C][C]0.995612[/C][C]1.01159[/C][/ROW]
[ROW][C]52[/C][C]144270[/C][C]142348[/C][C]140896[/C][C]1.01031[/C][C]1.0135[/C][/ROW]
[ROW][C]53[/C][C]149954[/C][C]149703[/C][C]139801[/C][C]1.07083[/C][C]1.00168[/C][/ROW]
[ROW][C]54[/C][C]145313[/C][C]146565[/C][C]138963[/C][C]1.0547[/C][C]0.991455[/C][/ROW]
[ROW][C]55[/C][C]139132[/C][C]136783[/C][C]138384[/C][C]0.988435[/C][C]1.01717[/C][/ROW]
[ROW][C]56[/C][C]132447[/C][C]129819[/C][C]137824[/C][C]0.941915[/C][C]1.02024[/C][/ROW]
[ROW][C]57[/C][C]138635[/C][C]135980[/C][C]137074[/C][C]0.992016[/C][C]1.01953[/C][/ROW]
[ROW][C]58[/C][C]121625[/C][C]121569[/C][C]136153[/C][C]0.892882[/C][C]1.00046[/C][/ROW]
[ROW][C]59[/C][C]129857[/C][C]132189[/C][C]135081[/C][C]0.978589[/C][C]0.982362[/C][/ROW]
[ROW][C]60[/C][C]134491[/C][C]136557[/C][C]133901[/C][C]1.01984[/C][C]0.984868[/C][/ROW]
[ROW][C]61[/C][C]139132[/C][C]138898[/C][C]132677[/C][C]1.04689[/C][C]1.00169[/C][/ROW]
[ROW][C]62[/C][C]132447[/C][C]132524[/C][C]131474[/C][C]1.00798[/C][C]0.999422[/C][/ROW]
[ROW][C]63[/C][C]132447[/C][C]129656[/C][C]130228[/C][C]0.995612[/C][C]1.02152[/C][/ROW]
[ROW][C]64[/C][C]132447[/C][C]130266[/C][C]128937[/C][C]1.01031[/C][C]1.01674[/C][/ROW]
[ROW][C]65[/C][C]136038[/C][C]136804[/C][C]127755[/C][C]1.07083[/C][C]0.9944[/C][/ROW]
[ROW][C]66[/C][C]130907[/C][C]133611[/C][C]126681[/C][C]1.0547[/C][C]0.979759[/C][/ROW]
[ROW][C]67[/C][C]124173[/C][C]124050[/C][C]125501[/C][C]0.988435[/C][C]1.00099[/C][/ROW]
[ROW][C]68[/C][C]118538[/C][C]116998[/C][C]124213[/C][C]0.941915[/C][C]1.01316[/C][/ROW]
[ROW][C]69[/C][C]122626[/C][C]122005[/C][C]122987[/C][C]0.992016[/C][C]1.00509[/C][/ROW]
[ROW][C]70[/C][C]106666[/C][C]108680[/C][C]121718[/C][C]0.892882[/C][C]0.981472[/C][/ROW]
[ROW][C]71[/C][C]116445[/C][C]117872[/C][C]120450[/C][C]0.978589[/C][C]0.987898[/C][/ROW]
[ROW][C]72[/C][C]122129[/C][C]121679[/C][C]119311[/C][C]1.01984[/C][C]1.0037[/C][/ROW]
[ROW][C]73[/C][C]123172[/C][C]123759[/C][C]118216[/C][C]1.04689[/C][C]0.995256[/C][/ROW]
[ROW][C]74[/C][C]117488[/C][C]118056[/C][C]117121[/C][C]1.00798[/C][C]0.995187[/C][/ROW]
[ROW][C]75[/C][C]117985[/C][C]115730[/C][C]116240[/C][C]0.995612[/C][C]1.01948[/C][/ROW]
[ROW][C]76[/C][C]116445[/C][C]116615[/C][C]115426[/C][C]1.01031[/C][C]0.99854[/C][/ROW]
[ROW][C]77[/C][C]121625[/C][C]122707[/C][C]114590[/C][C]1.07083[/C][C]0.991184[/C][/ROW]
[ROW][C]78[/C][C]117985[/C][C]120090[/C][C]113861[/C][C]1.0547[/C][C]0.982475[/C][/ROW]
[ROW][C]79[/C][C]110810[/C][C]111778[/C][C]113086[/C][C]0.988435[/C][C]0.991339[/C][/ROW]
[ROW][C]80[/C][C]105623[/C][C]105707[/C][C]112226[/C][C]0.941915[/C][C]0.999205[/C][/ROW]
[ROW][C]81[/C][C]114394[/C][C]110159[/C][C]111046[/C][C]0.992016[/C][C]1.03844[/C][/ROW]
[ROW][C]82[/C][C]95347[/C][C]97887.4[/C][C]109631[/C][C]0.892882[/C][C]0.974048[/C][/ROW]
[ROW][C]83[/C][C]107716[/C][C]105960[/C][C]108278[/C][C]0.978589[/C][C]1.01657[/C][/ROW]
[ROW][C]84[/C][C]113351[/C][C]109003[/C][C]106882[/C][C]1.01984[/C][C]1.03989[/C][/ROW]
[ROW][C]85[/C][C]113351[/C][C]110254[/C][C]105316[/C][C]1.04689[/C][C]1.02809[/C][/ROW]
[ROW][C]86[/C][C]106666[/C][C]104403[/C][C]103577[/C][C]1.00798[/C][C]1.02167[/C][/ROW]
[ROW][C]87[/C][C]100485[/C][C]101263[/C][C]101709[/C][C]0.995612[/C][C]0.992321[/C][/ROW]
[ROW][C]88[/C][C]99988[/C][C]100891[/C][C]99862[/C][C]1.01031[/C][C]0.991048[/C][/ROW]
[ROW][C]89[/C][C]105623[/C][C]105187[/C][C]98229[/C][C]1.07083[/C][C]1.00415[/C][/ROW]
[ROW][C]90[/C][C]100485[/C][C]102130[/C][C]96832.5[/C][C]1.0547[/C][C]0.983897[/C][/ROW]
[ROW][C]91[/C][C]90713[/C][C]94545.9[/C][C]95652.1[/C][C]0.988435[/C][C]0.95946[/C][/ROW]
[ROW][C]92[/C][C]83979[/C][C]89125.5[/C][C]94621.6[/C][C]0.941915[/C][C]0.942256[/C][/ROW]
[ROW][C]93[/C][C]91210[/C][C]92843.9[/C][C]93591.2[/C][C]0.992016[/C][C]0.982401[/C][/ROW]
[ROW][C]94[/C][C]74207[/C][C]82818.2[/C][C]92753.8[/C][C]0.892882[/C][C]0.896023[/C][/ROW]
[ROW][C]95[/C][C]89663[/C][C]90031.8[/C][C]92001.6[/C][C]0.978589[/C][C]0.995904[/C][/ROW]
[ROW][C]96[/C][C]97888[/C][C]93059.9[/C][C]91249.4[/C][C]1.01984[/C][C]1.05188[/C][/ROW]
[ROW][C]97[/C][C]100485[/C][C]94648.7[/C][C]90409.7[/C][C]1.04689[/C][C]1.06166[/C][/ROW]
[ROW][C]98[/C][C]94801[/C][C]90027.3[/C][C]89314.5[/C][C]1.00798[/C][C]1.05303[/C][/ROW]
[ROW][C]99[/C][C]87619[/C][C]87726.8[/C][C]88113.4[/C][C]0.995612[/C][C]0.998772[/C][/ROW]
[ROW][C]100[/C][C]92757[/C][C]87784.7[/C][C]86889.2[/C][C]1.01031[/C][C]1.05664[/C][/ROW]
[ROW][C]101[/C][C]94801[/C][C]91824.3[/C][C]85750.6[/C][C]1.07083[/C][C]1.03242[/C][/ROW]
[ROW][C]102[/C][C]93254[/C][C]89151.1[/C][C]84527[/C][C]1.0547[/C][C]1.04602[/C][/ROW]
[ROW][C]103[/C][C]77791[/C][C]82319.4[/C][C]83282.5[/C][C]0.988435[/C][C]0.94499[/C][/ROW]
[ROW][C]104[/C][C]70616[/C][C]77272.5[/C][C]82037.7[/C][C]0.941915[/C][C]0.913857[/C][/ROW]
[ROW][C]105[/C][C]75747[/C][C]80061.3[/C][C]80705.6[/C][C]0.992016[/C][C]0.946113[/C][/ROW]
[ROW][C]106[/C][C]60291[/C][C]70832.2[/C][C]79329.8[/C][C]0.892882[/C][C]0.851181[/C][/ROW]
[ROW][C]107[/C][C]76251[/C][C]76244.2[/C][C]77912.3[/C][C]0.978589[/C][C]1.00009[/C][/ROW]
[ROW][C]108[/C][C]81935[/C][C]77904.6[/C][C]76389[/C][C]1.01984[/C][C]1.05174[/C][/ROW]
[ROW][C]109[/C][C]86569[/C][C]78265.3[/C][C]74760[/C][C]1.04689[/C][C]1.1061[/C][/ROW]
[ROW][C]110[/C][C]78841[/C][C]73733.5[/C][C]73149.7[/C][C]1.00798[/C][C]1.06927[/C][/ROW]
[ROW][C]111[/C][C]71610[/C][C]71287.4[/C][C]71601.5[/C][C]0.995612[/C][C]1.00453[/C][/ROW]
[ROW][C]112[/C][C]75747[/C][C]70754.4[/C][C]70032.7[/C][C]1.01031[/C][C]1.07056[/C][/ROW]
[ROW][C]113[/C][C]77791[/C][C]73359.6[/C][C]68507.2[/C][C]1.07083[/C][C]1.06041[/C][/ROW]
[ROW][C]114[/C][C]73703[/C][C]71010[/C][C]67326.9[/C][C]1.0547[/C][C]1.03792[/C][/ROW]
[ROW][C]115[/C][C]58247[/C][C]NA[/C][C]NA[/C][C]0.988435[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]51513[/C][C]NA[/C][C]NA[/C][C]0.941915[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]57694[/C][C]NA[/C][C]NA[/C][C]0.992016[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]40691[/C][C]NA[/C][C]NA[/C][C]0.892882[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]59241[/C][C]NA[/C][C]NA[/C][C]0.978589[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]70616[/C][C]NA[/C][C]NA[/C][C]1.01984[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280153&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280153&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	133448	NA	NA	1.04689	NA
2	132951	NA	NA	1.00798	NA
3	132447	NA	NA	0.995612	NA
4	131404	NA	NA	1.01031	NA
5	141722	NA	NA	1.07083	NA
6	141176	NA	NA	1.0547	NA
7	133448	131088	132622	0.988435	1.018
8	128310	124816	132514	0.941915	1.02799
9	128807	131348	132406	0.992016	0.980651
10	128807	118050	132213	0.892882	1.09112
11	129360	129256	132084	0.978589	1.00081
12	130354	134814	132192	1.01984	0.966915
13	131901	138818	132601	1.04689	0.950173
14	131901	134179	133116	1.00798	0.983026
15	130907	133066	133652	0.995612	0.983775
16	128310	135486	134104	1.01031	0.947037
17	141722	143947	134426	1.07083	0.984543
18	143766	142187	134812	1.0547	1.01111
19	140679	133615	135178	0.988435	1.05287
20	133448	127549	135415	0.941915	1.04625
21	136542	134525	135608	0.992016	1.01499
22	131901	121273	135822	0.892882	1.08764
23	133994	132997	135907	0.978589	1.0075
24	134995	138669	135971	1.01984	0.973505
25	136038	142481	136100	1.04689	0.954777
26	133448	137381	136294	1.00798	0.971369
27	133994	136080	136680	0.995612	0.984669
28	130354	138523	137110	1.01031	0.941028
29	141722	147373	137625	1.07083	0.961653
30	145313	145811	138249	1.0547	0.996582
31	142226	137225	138830	0.988435	1.03645
32	136542	131212	139304	0.941915	1.04062
33	142723	138767	139883	0.992016	1.02851
34	136038	125743	140829	0.892882	1.08187
35	142226	138781	141818	0.978589	1.02482
36	141722	145310	142483	1.01984	0.97531
37	143269	149387	142697	1.04689	0.959044
38	137585	143900	142761	1.00798	0.956113
39	143766	142242	142869	0.995612	1.01072
40	143269	144385	142912	1.01031	0.992272
41	152544	153012	142891	1.07083	0.996942
42	150451	150730	142912	1.0547	0.998151
43	142226	141364	143018	0.988435	1.0061
44	138082	134873	143191	0.941915	1.02379
45	143766	142112	143255	0.992016	1.01164
46	136038	127909	143254	0.892882	1.06356
47	141722	140122	143187	0.978589	1.01142
48	142723	145700	142865	1.01984	0.979568
49	144816	149205	142522	1.04689	0.970586
50	140182	143293	142159	1.00798	0.978288
51	142723	141088	141710	0.995612	1.01159
52	144270	142348	140896	1.01031	1.0135
53	149954	149703	139801	1.07083	1.00168
54	145313	146565	138963	1.0547	0.991455
55	139132	136783	138384	0.988435	1.01717
56	132447	129819	137824	0.941915	1.02024
57	138635	135980	137074	0.992016	1.01953
58	121625	121569	136153	0.892882	1.00046
59	129857	132189	135081	0.978589	0.982362
60	134491	136557	133901	1.01984	0.984868
61	139132	138898	132677	1.04689	1.00169
62	132447	132524	131474	1.00798	0.999422
63	132447	129656	130228	0.995612	1.02152
64	132447	130266	128937	1.01031	1.01674
65	136038	136804	127755	1.07083	0.9944
66	130907	133611	126681	1.0547	0.979759
67	124173	124050	125501	0.988435	1.00099
68	118538	116998	124213	0.941915	1.01316
69	122626	122005	122987	0.992016	1.00509
70	106666	108680	121718	0.892882	0.981472
71	116445	117872	120450	0.978589	0.987898
72	122129	121679	119311	1.01984	1.0037
73	123172	123759	118216	1.04689	0.995256
74	117488	118056	117121	1.00798	0.995187
75	117985	115730	116240	0.995612	1.01948
76	116445	116615	115426	1.01031	0.99854
77	121625	122707	114590	1.07083	0.991184
78	117985	120090	113861	1.0547	0.982475
79	110810	111778	113086	0.988435	0.991339
80	105623	105707	112226	0.941915	0.999205
81	114394	110159	111046	0.992016	1.03844
82	95347	97887.4	109631	0.892882	0.974048
83	107716	105960	108278	0.978589	1.01657
84	113351	109003	106882	1.01984	1.03989
85	113351	110254	105316	1.04689	1.02809
86	106666	104403	103577	1.00798	1.02167
87	100485	101263	101709	0.995612	0.992321
88	99988	100891	99862	1.01031	0.991048
89	105623	105187	98229	1.07083	1.00415
90	100485	102130	96832.5	1.0547	0.983897
91	90713	94545.9	95652.1	0.988435	0.95946
92	83979	89125.5	94621.6	0.941915	0.942256
93	91210	92843.9	93591.2	0.992016	0.982401
94	74207	82818.2	92753.8	0.892882	0.896023
95	89663	90031.8	92001.6	0.978589	0.995904
96	97888	93059.9	91249.4	1.01984	1.05188
97	100485	94648.7	90409.7	1.04689	1.06166
98	94801	90027.3	89314.5	1.00798	1.05303
99	87619	87726.8	88113.4	0.995612	0.998772
100	92757	87784.7	86889.2	1.01031	1.05664
101	94801	91824.3	85750.6	1.07083	1.03242
102	93254	89151.1	84527	1.0547	1.04602
103	77791	82319.4	83282.5	0.988435	0.94499
104	70616	77272.5	82037.7	0.941915	0.913857
105	75747	80061.3	80705.6	0.992016	0.946113
106	60291	70832.2	79329.8	0.892882	0.851181
107	76251	76244.2	77912.3	0.978589	1.00009
108	81935	77904.6	76389	1.01984	1.05174
109	86569	78265.3	74760	1.04689	1.1061
110	78841	73733.5	73149.7	1.00798	1.06927
111	71610	71287.4	71601.5	0.995612	1.00453
112	75747	70754.4	70032.7	1.01031	1.07056
113	77791	73359.6	68507.2	1.07083	1.06041
114	73703	71010	67326.9	1.0547	1.03792
115	58247	NA	NA	0.988435	NA
116	51513	NA	NA	0.941915	NA
117	57694	NA	NA	0.992016	NA
118	40691	NA	NA	0.892882	NA
119	59241	NA	NA	0.978589	NA
120	70616	NA	NA	1.01984	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 = 0 ; par2 = no ; par3 = 512 ;

Parameters (R input):

par1 = multiplicative ; par2 = 12 ;

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

par2 <- '12'
par1 <- 'multiplicative'
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
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