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R Software Module

rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Sun, 29 Nov 2015 14:35:17 +0000

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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/Nov/29/t14488077489o4w8rvxddqvspo.htm/, Retrieved Wed, 15 May 2024 12:48:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284464, Retrieved Wed, 15 May 2024 12:48:46 +0000

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-       [Classical Decomposition] [Consumptieprijzen...] [2015-11-29 14:35:17] [c53767938e2c856c14b03e8e32322294] [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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284464&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284464&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284464&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	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	98.85	NA	NA	1.00027	NA
2	98.86	NA	NA	0.995867	NA
3	98.86	NA	NA	0.996363	NA
4	98.89	NA	NA	0.99668	NA
5	98.85	NA	NA	0.997885	NA
6	98.85	NA	NA	0.998063	NA
7	98.85	98.7733	99.0012	0.997697	1.00078
8	98.96	99.0466	99.0337	1.00013	0.999126
9	98.99	99.1962	99.0579	1.0014	0.997922
10	99.21	99.4982	99.0787	1.00423	0.997104
11	99.29	99.6628	99.1042	1.00564	0.996259
12	99.32	99.7099	99.1367	1.00578	0.99609
13	99.32	99.1965	99.17	1.00027	1.00124
14	99.17	98.7933	99.2033	0.995867	1.00381
15	99.13	98.8774	99.2383	0.996363	1.00255
16	99.12	98.9421	99.2717	0.99668	1.0018
17	99.23	99.0912	99.3012	0.997885	1.0014
18	99.25	99.1385	99.3308	0.998063	1.00113
19	99.25	99.132	99.3608	0.997697	1.00119
20	99.36	99.4033	99.3904	1.00013	0.999565
21	99.43	99.5671	99.4283	1.0014	0.998623
22	99.57	99.897	99.4758	1.00423	0.996727
23	99.64	100.087	99.5258	1.00564	0.995536
24	99.68	100.156	99.5804	1.00578	0.995246
25	99.68	99.6646	99.6379	1.00027	1.00015
26	99.52	99.2784	99.6904	0.995867	1.00243
27	99.69	99.3831	99.7458	0.996363	1.00309
28	99.7	99.4878	99.8192	0.99668	1.00213
29	99.85	99.6962	99.9075	0.997885	1.00154
30	99.94	99.8096	100.003	0.998063	1.00131
31	99.94	99.8712	100.102	0.997697	1.00069
32	99.93	100.2	100.187	1.00013	0.997305
33	100.19	100.402	100.262	1.0014	0.997893
34	100.57	100.765	100.34	1.00423	0.998063
35	100.76	100.987	100.421	1.00564	0.997753
36	100.86	101.08	100.499	1.00578	0.997821
37	100.86	100.603	100.576	1.00027	1.00256
38	100.39	100.242	100.658	0.995867	1.00148
39	100.61	100.37	100.737	0.996363	1.00239
40	100.67	100.47	100.805	0.99668	1.00199
41	100.81	100.662	100.875	0.997885	1.00147
42	100.86	100.75	100.946	0.998063	1.00109
43	100.86	100.782	101.014	0.997697	1.00078
44	100.98	101.097	101.084	1.00013	0.99884
45	101.03	101.287	101.146	1.0014	0.997459
46	101.37	101.619	101.191	1.00423	0.997548
47	101.64	101.791	101.22	1.00564	0.998517
48	101.68	101.827	101.241	1.00578	0.99856
49	101.68	101.288	101.26	1.00027	1.00388
50	101.25	100.878	101.297	0.995867	1.00369
51	101.24	100.981	101.35	0.996363	1.00257
52	101.11	101.064	101.4	0.99668	1.00046
53	101.08	101.227	101.442	0.997885	0.998547
54	101.09	101.276	101.472	0.998063	0.998164
55	101.09	101.267	101.501	0.997697	0.998251
56	101.62	101.539	101.526	1.00013	1.0008
57	101.66	101.694	101.552	1.0014	0.999664
58	101.96	102.028	101.598	1.00423	0.999329
59	102.04	102.242	101.669	1.00564	0.998022
60	102.02	102.342	101.754	1.00578	0.996853
61	102.02	101.868	101.841	1.00027	1.00149
62	101.51	101.504	101.925	0.995867	1.00006
63	101.62	101.647	102.018	0.996363	0.999731
64	101.83	101.788	102.127	0.99668	1.00041
65	102.06	102.03	102.246	0.997885	1.0003
66	102.14	102.175	102.373	0.998063	0.999657
67	102.14	102.267	102.503	0.997697	0.998755
68	102.59	102.637	102.623	1.00013	0.999546
69	102.92	102.873	102.73	1.0014	1.00045
70	103.31	103.267	102.832	1.00423	1.00042
71	103.54	103.509	102.929	1.00564	1.0003
72	103.58	103.62	103.024	1.00578	0.999616
73	103.58	103.147	103.119	1.00027	1.0042
74	102.83	102.79	103.217	0.995867	1.00039
75	102.86	102.933	103.308	0.996363	0.999295
76	103.03	103.046	103.39	0.99668	0.999842
77	103.2	103.247	103.465	0.997885	0.999549
78	103.28	103.337	103.538	0.998063	0.999445
79	103.28	103.184	103.422	0.997697	1.00093
80	103.79	103.13	103.117	1.00013	1.0064
81	103.92	102.955	102.812	1.0014	1.00937
82	104.26	102.939	102.505	1.00423	1.01283
83	104.41	102.779	102.202	1.00564	1.01587
84	104.45	102.492	101.903	1.00578	1.0191
85	99.92	101.631	101.604	1.00027	0.983161
86	99.18	100.883	101.301	0.995867	0.983123
87	99.18	100.632	101	0.996363	0.985569
88	99.35	100.373	100.707	0.99668	0.989811
89	99.62	100.208	100.421	0.997885	0.994128
90	99.67	99.9452	100.139	0.998063	0.997246
91	99.72	99.825	100.055	0.997697	0.998948
92	100.08	100.205	100.192	1.00013	0.998748
93	100.39	100.497	100.357	1.0014	0.998938
94	100.77	100.941	100.516	1.00423	0.998302
95	101.03	101.226	100.658	1.00564	0.998067
96	101.07	101.371	100.788	1.00578	0.997034
97	101.29	100.922	100.895	1.00027	1.00364
98	101.1	100.563	100.98	0.995867	1.00534
99	101.2	100.683	101.051	0.996363	1.00513
100	101.15	100.759	101.095	0.99668	1.00388
101	101.24	100.899	101.112	0.997885	1.00338
102	101.16	100.929	101.125	0.998063	1.00229
103	100.81	NA	NA	0.997697	NA
104	101.02	NA	NA	1.00013	NA
105	101.15	NA	NA	1.0014	NA
106	101.06	NA	NA	1.00423	NA
107	101.17	NA	NA	1.00564	NA
108	101.22	NA	NA	1.00578	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 98.85 & NA & NA & 1.00027 & NA \tabularnewline
2 & 98.86 & NA & NA & 0.995867 & NA \tabularnewline
3 & 98.86 & NA & NA & 0.996363 & NA \tabularnewline
4 & 98.89 & NA & NA & 0.99668 & NA \tabularnewline
5 & 98.85 & NA & NA & 0.997885 & NA \tabularnewline
6 & 98.85 & NA & NA & 0.998063 & NA \tabularnewline
7 & 98.85 & 98.7733 & 99.0012 & 0.997697 & 1.00078 \tabularnewline
8 & 98.96 & 99.0466 & 99.0337 & 1.00013 & 0.999126 \tabularnewline
9 & 98.99 & 99.1962 & 99.0579 & 1.0014 & 0.997922 \tabularnewline
10 & 99.21 & 99.4982 & 99.0787 & 1.00423 & 0.997104 \tabularnewline
11 & 99.29 & 99.6628 & 99.1042 & 1.00564 & 0.996259 \tabularnewline
12 & 99.32 & 99.7099 & 99.1367 & 1.00578 & 0.99609 \tabularnewline
13 & 99.32 & 99.1965 & 99.17 & 1.00027 & 1.00124 \tabularnewline
14 & 99.17 & 98.7933 & 99.2033 & 0.995867 & 1.00381 \tabularnewline
15 & 99.13 & 98.8774 & 99.2383 & 0.996363 & 1.00255 \tabularnewline
16 & 99.12 & 98.9421 & 99.2717 & 0.99668 & 1.0018 \tabularnewline
17 & 99.23 & 99.0912 & 99.3012 & 0.997885 & 1.0014 \tabularnewline
18 & 99.25 & 99.1385 & 99.3308 & 0.998063 & 1.00113 \tabularnewline
19 & 99.25 & 99.132 & 99.3608 & 0.997697 & 1.00119 \tabularnewline
20 & 99.36 & 99.4033 & 99.3904 & 1.00013 & 0.999565 \tabularnewline
21 & 99.43 & 99.5671 & 99.4283 & 1.0014 & 0.998623 \tabularnewline
22 & 99.57 & 99.897 & 99.4758 & 1.00423 & 0.996727 \tabularnewline
23 & 99.64 & 100.087 & 99.5258 & 1.00564 & 0.995536 \tabularnewline
24 & 99.68 & 100.156 & 99.5804 & 1.00578 & 0.995246 \tabularnewline
25 & 99.68 & 99.6646 & 99.6379 & 1.00027 & 1.00015 \tabularnewline
26 & 99.52 & 99.2784 & 99.6904 & 0.995867 & 1.00243 \tabularnewline
27 & 99.69 & 99.3831 & 99.7458 & 0.996363 & 1.00309 \tabularnewline
28 & 99.7 & 99.4878 & 99.8192 & 0.99668 & 1.00213 \tabularnewline
29 & 99.85 & 99.6962 & 99.9075 & 0.997885 & 1.00154 \tabularnewline
30 & 99.94 & 99.8096 & 100.003 & 0.998063 & 1.00131 \tabularnewline
31 & 99.94 & 99.8712 & 100.102 & 0.997697 & 1.00069 \tabularnewline
32 & 99.93 & 100.2 & 100.187 & 1.00013 & 0.997305 \tabularnewline
33 & 100.19 & 100.402 & 100.262 & 1.0014 & 0.997893 \tabularnewline
34 & 100.57 & 100.765 & 100.34 & 1.00423 & 0.998063 \tabularnewline
35 & 100.76 & 100.987 & 100.421 & 1.00564 & 0.997753 \tabularnewline
36 & 100.86 & 101.08 & 100.499 & 1.00578 & 0.997821 \tabularnewline
37 & 100.86 & 100.603 & 100.576 & 1.00027 & 1.00256 \tabularnewline
38 & 100.39 & 100.242 & 100.658 & 0.995867 & 1.00148 \tabularnewline
39 & 100.61 & 100.37 & 100.737 & 0.996363 & 1.00239 \tabularnewline
40 & 100.67 & 100.47 & 100.805 & 0.99668 & 1.00199 \tabularnewline
41 & 100.81 & 100.662 & 100.875 & 0.997885 & 1.00147 \tabularnewline
42 & 100.86 & 100.75 & 100.946 & 0.998063 & 1.00109 \tabularnewline
43 & 100.86 & 100.782 & 101.014 & 0.997697 & 1.00078 \tabularnewline
44 & 100.98 & 101.097 & 101.084 & 1.00013 & 0.99884 \tabularnewline
45 & 101.03 & 101.287 & 101.146 & 1.0014 & 0.997459 \tabularnewline
46 & 101.37 & 101.619 & 101.191 & 1.00423 & 0.997548 \tabularnewline
47 & 101.64 & 101.791 & 101.22 & 1.00564 & 0.998517 \tabularnewline
48 & 101.68 & 101.827 & 101.241 & 1.00578 & 0.99856 \tabularnewline
49 & 101.68 & 101.288 & 101.26 & 1.00027 & 1.00388 \tabularnewline
50 & 101.25 & 100.878 & 101.297 & 0.995867 & 1.00369 \tabularnewline
51 & 101.24 & 100.981 & 101.35 & 0.996363 & 1.00257 \tabularnewline
52 & 101.11 & 101.064 & 101.4 & 0.99668 & 1.00046 \tabularnewline
53 & 101.08 & 101.227 & 101.442 & 0.997885 & 0.998547 \tabularnewline
54 & 101.09 & 101.276 & 101.472 & 0.998063 & 0.998164 \tabularnewline
55 & 101.09 & 101.267 & 101.501 & 0.997697 & 0.998251 \tabularnewline
56 & 101.62 & 101.539 & 101.526 & 1.00013 & 1.0008 \tabularnewline
57 & 101.66 & 101.694 & 101.552 & 1.0014 & 0.999664 \tabularnewline
58 & 101.96 & 102.028 & 101.598 & 1.00423 & 0.999329 \tabularnewline
59 & 102.04 & 102.242 & 101.669 & 1.00564 & 0.998022 \tabularnewline
60 & 102.02 & 102.342 & 101.754 & 1.00578 & 0.996853 \tabularnewline
61 & 102.02 & 101.868 & 101.841 & 1.00027 & 1.00149 \tabularnewline
62 & 101.51 & 101.504 & 101.925 & 0.995867 & 1.00006 \tabularnewline
63 & 101.62 & 101.647 & 102.018 & 0.996363 & 0.999731 \tabularnewline
64 & 101.83 & 101.788 & 102.127 & 0.99668 & 1.00041 \tabularnewline
65 & 102.06 & 102.03 & 102.246 & 0.997885 & 1.0003 \tabularnewline
66 & 102.14 & 102.175 & 102.373 & 0.998063 & 0.999657 \tabularnewline
67 & 102.14 & 102.267 & 102.503 & 0.997697 & 0.998755 \tabularnewline
68 & 102.59 & 102.637 & 102.623 & 1.00013 & 0.999546 \tabularnewline
69 & 102.92 & 102.873 & 102.73 & 1.0014 & 1.00045 \tabularnewline
70 & 103.31 & 103.267 & 102.832 & 1.00423 & 1.00042 \tabularnewline
71 & 103.54 & 103.509 & 102.929 & 1.00564 & 1.0003 \tabularnewline
72 & 103.58 & 103.62 & 103.024 & 1.00578 & 0.999616 \tabularnewline
73 & 103.58 & 103.147 & 103.119 & 1.00027 & 1.0042 \tabularnewline
74 & 102.83 & 102.79 & 103.217 & 0.995867 & 1.00039 \tabularnewline
75 & 102.86 & 102.933 & 103.308 & 0.996363 & 0.999295 \tabularnewline
76 & 103.03 & 103.046 & 103.39 & 0.99668 & 0.999842 \tabularnewline
77 & 103.2 & 103.247 & 103.465 & 0.997885 & 0.999549 \tabularnewline
78 & 103.28 & 103.337 & 103.538 & 0.998063 & 0.999445 \tabularnewline
79 & 103.28 & 103.184 & 103.422 & 0.997697 & 1.00093 \tabularnewline
80 & 103.79 & 103.13 & 103.117 & 1.00013 & 1.0064 \tabularnewline
81 & 103.92 & 102.955 & 102.812 & 1.0014 & 1.00937 \tabularnewline
82 & 104.26 & 102.939 & 102.505 & 1.00423 & 1.01283 \tabularnewline
83 & 104.41 & 102.779 & 102.202 & 1.00564 & 1.01587 \tabularnewline
84 & 104.45 & 102.492 & 101.903 & 1.00578 & 1.0191 \tabularnewline
85 & 99.92 & 101.631 & 101.604 & 1.00027 & 0.983161 \tabularnewline
86 & 99.18 & 100.883 & 101.301 & 0.995867 & 0.983123 \tabularnewline
87 & 99.18 & 100.632 & 101 & 0.996363 & 0.985569 \tabularnewline
88 & 99.35 & 100.373 & 100.707 & 0.99668 & 0.989811 \tabularnewline
89 & 99.62 & 100.208 & 100.421 & 0.997885 & 0.994128 \tabularnewline
90 & 99.67 & 99.9452 & 100.139 & 0.998063 & 0.997246 \tabularnewline
91 & 99.72 & 99.825 & 100.055 & 0.997697 & 0.998948 \tabularnewline
92 & 100.08 & 100.205 & 100.192 & 1.00013 & 0.998748 \tabularnewline
93 & 100.39 & 100.497 & 100.357 & 1.0014 & 0.998938 \tabularnewline
94 & 100.77 & 100.941 & 100.516 & 1.00423 & 0.998302 \tabularnewline
95 & 101.03 & 101.226 & 100.658 & 1.00564 & 0.998067 \tabularnewline
96 & 101.07 & 101.371 & 100.788 & 1.00578 & 0.997034 \tabularnewline
97 & 101.29 & 100.922 & 100.895 & 1.00027 & 1.00364 \tabularnewline
98 & 101.1 & 100.563 & 100.98 & 0.995867 & 1.00534 \tabularnewline
99 & 101.2 & 100.683 & 101.051 & 0.996363 & 1.00513 \tabularnewline
100 & 101.15 & 100.759 & 101.095 & 0.99668 & 1.00388 \tabularnewline
101 & 101.24 & 100.899 & 101.112 & 0.997885 & 1.00338 \tabularnewline
102 & 101.16 & 100.929 & 101.125 & 0.998063 & 1.00229 \tabularnewline
103 & 100.81 & NA & NA & 0.997697 & NA \tabularnewline
104 & 101.02 & NA & NA & 1.00013 & NA \tabularnewline
105 & 101.15 & NA & NA & 1.0014 & NA \tabularnewline
106 & 101.06 & NA & NA & 1.00423 & NA \tabularnewline
107 & 101.17 & NA & NA & 1.00564 & NA \tabularnewline
108 & 101.22 & NA & NA & 1.00578 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284464&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]98.85[/C][C]NA[/C][C]NA[/C][C]1.00027[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]98.86[/C][C]NA[/C][C]NA[/C][C]0.995867[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]98.86[/C][C]NA[/C][C]NA[/C][C]0.996363[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]98.89[/C][C]NA[/C][C]NA[/C][C]0.99668[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]98.85[/C][C]NA[/C][C]NA[/C][C]0.997885[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]98.85[/C][C]NA[/C][C]NA[/C][C]0.998063[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]98.85[/C][C]98.7733[/C][C]99.0012[/C][C]0.997697[/C][C]1.00078[/C][/ROW]
[ROW][C]8[/C][C]98.96[/C][C]99.0466[/C][C]99.0337[/C][C]1.00013[/C][C]0.999126[/C][/ROW]
[ROW][C]9[/C][C]98.99[/C][C]99.1962[/C][C]99.0579[/C][C]1.0014[/C][C]0.997922[/C][/ROW]
[ROW][C]10[/C][C]99.21[/C][C]99.4982[/C][C]99.0787[/C][C]1.00423[/C][C]0.997104[/C][/ROW]
[ROW][C]11[/C][C]99.29[/C][C]99.6628[/C][C]99.1042[/C][C]1.00564[/C][C]0.996259[/C][/ROW]
[ROW][C]12[/C][C]99.32[/C][C]99.7099[/C][C]99.1367[/C][C]1.00578[/C][C]0.99609[/C][/ROW]
[ROW][C]13[/C][C]99.32[/C][C]99.1965[/C][C]99.17[/C][C]1.00027[/C][C]1.00124[/C][/ROW]
[ROW][C]14[/C][C]99.17[/C][C]98.7933[/C][C]99.2033[/C][C]0.995867[/C][C]1.00381[/C][/ROW]
[ROW][C]15[/C][C]99.13[/C][C]98.8774[/C][C]99.2383[/C][C]0.996363[/C][C]1.00255[/C][/ROW]
[ROW][C]16[/C][C]99.12[/C][C]98.9421[/C][C]99.2717[/C][C]0.99668[/C][C]1.0018[/C][/ROW]
[ROW][C]17[/C][C]99.23[/C][C]99.0912[/C][C]99.3012[/C][C]0.997885[/C][C]1.0014[/C][/ROW]
[ROW][C]18[/C][C]99.25[/C][C]99.1385[/C][C]99.3308[/C][C]0.998063[/C][C]1.00113[/C][/ROW]
[ROW][C]19[/C][C]99.25[/C][C]99.132[/C][C]99.3608[/C][C]0.997697[/C][C]1.00119[/C][/ROW]
[ROW][C]20[/C][C]99.36[/C][C]99.4033[/C][C]99.3904[/C][C]1.00013[/C][C]0.999565[/C][/ROW]
[ROW][C]21[/C][C]99.43[/C][C]99.5671[/C][C]99.4283[/C][C]1.0014[/C][C]0.998623[/C][/ROW]
[ROW][C]22[/C][C]99.57[/C][C]99.897[/C][C]99.4758[/C][C]1.00423[/C][C]0.996727[/C][/ROW]
[ROW][C]23[/C][C]99.64[/C][C]100.087[/C][C]99.5258[/C][C]1.00564[/C][C]0.995536[/C][/ROW]
[ROW][C]24[/C][C]99.68[/C][C]100.156[/C][C]99.5804[/C][C]1.00578[/C][C]0.995246[/C][/ROW]
[ROW][C]25[/C][C]99.68[/C][C]99.6646[/C][C]99.6379[/C][C]1.00027[/C][C]1.00015[/C][/ROW]
[ROW][C]26[/C][C]99.52[/C][C]99.2784[/C][C]99.6904[/C][C]0.995867[/C][C]1.00243[/C][/ROW]
[ROW][C]27[/C][C]99.69[/C][C]99.3831[/C][C]99.7458[/C][C]0.996363[/C][C]1.00309[/C][/ROW]
[ROW][C]28[/C][C]99.7[/C][C]99.4878[/C][C]99.8192[/C][C]0.99668[/C][C]1.00213[/C][/ROW]
[ROW][C]29[/C][C]99.85[/C][C]99.6962[/C][C]99.9075[/C][C]0.997885[/C][C]1.00154[/C][/ROW]
[ROW][C]30[/C][C]99.94[/C][C]99.8096[/C][C]100.003[/C][C]0.998063[/C][C]1.00131[/C][/ROW]
[ROW][C]31[/C][C]99.94[/C][C]99.8712[/C][C]100.102[/C][C]0.997697[/C][C]1.00069[/C][/ROW]
[ROW][C]32[/C][C]99.93[/C][C]100.2[/C][C]100.187[/C][C]1.00013[/C][C]0.997305[/C][/ROW]
[ROW][C]33[/C][C]100.19[/C][C]100.402[/C][C]100.262[/C][C]1.0014[/C][C]0.997893[/C][/ROW]
[ROW][C]34[/C][C]100.57[/C][C]100.765[/C][C]100.34[/C][C]1.00423[/C][C]0.998063[/C][/ROW]
[ROW][C]35[/C][C]100.76[/C][C]100.987[/C][C]100.421[/C][C]1.00564[/C][C]0.997753[/C][/ROW]
[ROW][C]36[/C][C]100.86[/C][C]101.08[/C][C]100.499[/C][C]1.00578[/C][C]0.997821[/C][/ROW]
[ROW][C]37[/C][C]100.86[/C][C]100.603[/C][C]100.576[/C][C]1.00027[/C][C]1.00256[/C][/ROW]
[ROW][C]38[/C][C]100.39[/C][C]100.242[/C][C]100.658[/C][C]0.995867[/C][C]1.00148[/C][/ROW]
[ROW][C]39[/C][C]100.61[/C][C]100.37[/C][C]100.737[/C][C]0.996363[/C][C]1.00239[/C][/ROW]
[ROW][C]40[/C][C]100.67[/C][C]100.47[/C][C]100.805[/C][C]0.99668[/C][C]1.00199[/C][/ROW]
[ROW][C]41[/C][C]100.81[/C][C]100.662[/C][C]100.875[/C][C]0.997885[/C][C]1.00147[/C][/ROW]
[ROW][C]42[/C][C]100.86[/C][C]100.75[/C][C]100.946[/C][C]0.998063[/C][C]1.00109[/C][/ROW]
[ROW][C]43[/C][C]100.86[/C][C]100.782[/C][C]101.014[/C][C]0.997697[/C][C]1.00078[/C][/ROW]
[ROW][C]44[/C][C]100.98[/C][C]101.097[/C][C]101.084[/C][C]1.00013[/C][C]0.99884[/C][/ROW]
[ROW][C]45[/C][C]101.03[/C][C]101.287[/C][C]101.146[/C][C]1.0014[/C][C]0.997459[/C][/ROW]
[ROW][C]46[/C][C]101.37[/C][C]101.619[/C][C]101.191[/C][C]1.00423[/C][C]0.997548[/C][/ROW]
[ROW][C]47[/C][C]101.64[/C][C]101.791[/C][C]101.22[/C][C]1.00564[/C][C]0.998517[/C][/ROW]
[ROW][C]48[/C][C]101.68[/C][C]101.827[/C][C]101.241[/C][C]1.00578[/C][C]0.99856[/C][/ROW]
[ROW][C]49[/C][C]101.68[/C][C]101.288[/C][C]101.26[/C][C]1.00027[/C][C]1.00388[/C][/ROW]
[ROW][C]50[/C][C]101.25[/C][C]100.878[/C][C]101.297[/C][C]0.995867[/C][C]1.00369[/C][/ROW]
[ROW][C]51[/C][C]101.24[/C][C]100.981[/C][C]101.35[/C][C]0.996363[/C][C]1.00257[/C][/ROW]
[ROW][C]52[/C][C]101.11[/C][C]101.064[/C][C]101.4[/C][C]0.99668[/C][C]1.00046[/C][/ROW]
[ROW][C]53[/C][C]101.08[/C][C]101.227[/C][C]101.442[/C][C]0.997885[/C][C]0.998547[/C][/ROW]
[ROW][C]54[/C][C]101.09[/C][C]101.276[/C][C]101.472[/C][C]0.998063[/C][C]0.998164[/C][/ROW]
[ROW][C]55[/C][C]101.09[/C][C]101.267[/C][C]101.501[/C][C]0.997697[/C][C]0.998251[/C][/ROW]
[ROW][C]56[/C][C]101.62[/C][C]101.539[/C][C]101.526[/C][C]1.00013[/C][C]1.0008[/C][/ROW]
[ROW][C]57[/C][C]101.66[/C][C]101.694[/C][C]101.552[/C][C]1.0014[/C][C]0.999664[/C][/ROW]
[ROW][C]58[/C][C]101.96[/C][C]102.028[/C][C]101.598[/C][C]1.00423[/C][C]0.999329[/C][/ROW]
[ROW][C]59[/C][C]102.04[/C][C]102.242[/C][C]101.669[/C][C]1.00564[/C][C]0.998022[/C][/ROW]
[ROW][C]60[/C][C]102.02[/C][C]102.342[/C][C]101.754[/C][C]1.00578[/C][C]0.996853[/C][/ROW]
[ROW][C]61[/C][C]102.02[/C][C]101.868[/C][C]101.841[/C][C]1.00027[/C][C]1.00149[/C][/ROW]
[ROW][C]62[/C][C]101.51[/C][C]101.504[/C][C]101.925[/C][C]0.995867[/C][C]1.00006[/C][/ROW]
[ROW][C]63[/C][C]101.62[/C][C]101.647[/C][C]102.018[/C][C]0.996363[/C][C]0.999731[/C][/ROW]
[ROW][C]64[/C][C]101.83[/C][C]101.788[/C][C]102.127[/C][C]0.99668[/C][C]1.00041[/C][/ROW]
[ROW][C]65[/C][C]102.06[/C][C]102.03[/C][C]102.246[/C][C]0.997885[/C][C]1.0003[/C][/ROW]
[ROW][C]66[/C][C]102.14[/C][C]102.175[/C][C]102.373[/C][C]0.998063[/C][C]0.999657[/C][/ROW]
[ROW][C]67[/C][C]102.14[/C][C]102.267[/C][C]102.503[/C][C]0.997697[/C][C]0.998755[/C][/ROW]
[ROW][C]68[/C][C]102.59[/C][C]102.637[/C][C]102.623[/C][C]1.00013[/C][C]0.999546[/C][/ROW]
[ROW][C]69[/C][C]102.92[/C][C]102.873[/C][C]102.73[/C][C]1.0014[/C][C]1.00045[/C][/ROW]
[ROW][C]70[/C][C]103.31[/C][C]103.267[/C][C]102.832[/C][C]1.00423[/C][C]1.00042[/C][/ROW]
[ROW][C]71[/C][C]103.54[/C][C]103.509[/C][C]102.929[/C][C]1.00564[/C][C]1.0003[/C][/ROW]
[ROW][C]72[/C][C]103.58[/C][C]103.62[/C][C]103.024[/C][C]1.00578[/C][C]0.999616[/C][/ROW]
[ROW][C]73[/C][C]103.58[/C][C]103.147[/C][C]103.119[/C][C]1.00027[/C][C]1.0042[/C][/ROW]
[ROW][C]74[/C][C]102.83[/C][C]102.79[/C][C]103.217[/C][C]0.995867[/C][C]1.00039[/C][/ROW]
[ROW][C]75[/C][C]102.86[/C][C]102.933[/C][C]103.308[/C][C]0.996363[/C][C]0.999295[/C][/ROW]
[ROW][C]76[/C][C]103.03[/C][C]103.046[/C][C]103.39[/C][C]0.99668[/C][C]0.999842[/C][/ROW]
[ROW][C]77[/C][C]103.2[/C][C]103.247[/C][C]103.465[/C][C]0.997885[/C][C]0.999549[/C][/ROW]
[ROW][C]78[/C][C]103.28[/C][C]103.337[/C][C]103.538[/C][C]0.998063[/C][C]0.999445[/C][/ROW]
[ROW][C]79[/C][C]103.28[/C][C]103.184[/C][C]103.422[/C][C]0.997697[/C][C]1.00093[/C][/ROW]
[ROW][C]80[/C][C]103.79[/C][C]103.13[/C][C]103.117[/C][C]1.00013[/C][C]1.0064[/C][/ROW]
[ROW][C]81[/C][C]103.92[/C][C]102.955[/C][C]102.812[/C][C]1.0014[/C][C]1.00937[/C][/ROW]
[ROW][C]82[/C][C]104.26[/C][C]102.939[/C][C]102.505[/C][C]1.00423[/C][C]1.01283[/C][/ROW]
[ROW][C]83[/C][C]104.41[/C][C]102.779[/C][C]102.202[/C][C]1.00564[/C][C]1.01587[/C][/ROW]
[ROW][C]84[/C][C]104.45[/C][C]102.492[/C][C]101.903[/C][C]1.00578[/C][C]1.0191[/C][/ROW]
[ROW][C]85[/C][C]99.92[/C][C]101.631[/C][C]101.604[/C][C]1.00027[/C][C]0.983161[/C][/ROW]
[ROW][C]86[/C][C]99.18[/C][C]100.883[/C][C]101.301[/C][C]0.995867[/C][C]0.983123[/C][/ROW]
[ROW][C]87[/C][C]99.18[/C][C]100.632[/C][C]101[/C][C]0.996363[/C][C]0.985569[/C][/ROW]
[ROW][C]88[/C][C]99.35[/C][C]100.373[/C][C]100.707[/C][C]0.99668[/C][C]0.989811[/C][/ROW]
[ROW][C]89[/C][C]99.62[/C][C]100.208[/C][C]100.421[/C][C]0.997885[/C][C]0.994128[/C][/ROW]
[ROW][C]90[/C][C]99.67[/C][C]99.9452[/C][C]100.139[/C][C]0.998063[/C][C]0.997246[/C][/ROW]
[ROW][C]91[/C][C]99.72[/C][C]99.825[/C][C]100.055[/C][C]0.997697[/C][C]0.998948[/C][/ROW]
[ROW][C]92[/C][C]100.08[/C][C]100.205[/C][C]100.192[/C][C]1.00013[/C][C]0.998748[/C][/ROW]
[ROW][C]93[/C][C]100.39[/C][C]100.497[/C][C]100.357[/C][C]1.0014[/C][C]0.998938[/C][/ROW]
[ROW][C]94[/C][C]100.77[/C][C]100.941[/C][C]100.516[/C][C]1.00423[/C][C]0.998302[/C][/ROW]
[ROW][C]95[/C][C]101.03[/C][C]101.226[/C][C]100.658[/C][C]1.00564[/C][C]0.998067[/C][/ROW]
[ROW][C]96[/C][C]101.07[/C][C]101.371[/C][C]100.788[/C][C]1.00578[/C][C]0.997034[/C][/ROW]
[ROW][C]97[/C][C]101.29[/C][C]100.922[/C][C]100.895[/C][C]1.00027[/C][C]1.00364[/C][/ROW]
[ROW][C]98[/C][C]101.1[/C][C]100.563[/C][C]100.98[/C][C]0.995867[/C][C]1.00534[/C][/ROW]
[ROW][C]99[/C][C]101.2[/C][C]100.683[/C][C]101.051[/C][C]0.996363[/C][C]1.00513[/C][/ROW]
[ROW][C]100[/C][C]101.15[/C][C]100.759[/C][C]101.095[/C][C]0.99668[/C][C]1.00388[/C][/ROW]
[ROW][C]101[/C][C]101.24[/C][C]100.899[/C][C]101.112[/C][C]0.997885[/C][C]1.00338[/C][/ROW]
[ROW][C]102[/C][C]101.16[/C][C]100.929[/C][C]101.125[/C][C]0.998063[/C][C]1.00229[/C][/ROW]
[ROW][C]103[/C][C]100.81[/C][C]NA[/C][C]NA[/C][C]0.997697[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.02[/C][C]NA[/C][C]NA[/C][C]1.00013[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.15[/C][C]NA[/C][C]NA[/C][C]1.0014[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.06[/C][C]NA[/C][C]NA[/C][C]1.00423[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.17[/C][C]NA[/C][C]NA[/C][C]1.00564[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.22[/C][C]NA[/C][C]NA[/C][C]1.00578[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284464&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284464&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	98.85	NA	NA	1.00027	NA
2	98.86	NA	NA	0.995867	NA
3	98.86	NA	NA	0.996363	NA
4	98.89	NA	NA	0.99668	NA
5	98.85	NA	NA	0.997885	NA
6	98.85	NA	NA	0.998063	NA
7	98.85	98.7733	99.0012	0.997697	1.00078
8	98.96	99.0466	99.0337	1.00013	0.999126
9	98.99	99.1962	99.0579	1.0014	0.997922
10	99.21	99.4982	99.0787	1.00423	0.997104
11	99.29	99.6628	99.1042	1.00564	0.996259
12	99.32	99.7099	99.1367	1.00578	0.99609
13	99.32	99.1965	99.17	1.00027	1.00124
14	99.17	98.7933	99.2033	0.995867	1.00381
15	99.13	98.8774	99.2383	0.996363	1.00255
16	99.12	98.9421	99.2717	0.99668	1.0018
17	99.23	99.0912	99.3012	0.997885	1.0014
18	99.25	99.1385	99.3308	0.998063	1.00113
19	99.25	99.132	99.3608	0.997697	1.00119
20	99.36	99.4033	99.3904	1.00013	0.999565
21	99.43	99.5671	99.4283	1.0014	0.998623
22	99.57	99.897	99.4758	1.00423	0.996727
23	99.64	100.087	99.5258	1.00564	0.995536
24	99.68	100.156	99.5804	1.00578	0.995246
25	99.68	99.6646	99.6379	1.00027	1.00015
26	99.52	99.2784	99.6904	0.995867	1.00243
27	99.69	99.3831	99.7458	0.996363	1.00309
28	99.7	99.4878	99.8192	0.99668	1.00213
29	99.85	99.6962	99.9075	0.997885	1.00154
30	99.94	99.8096	100.003	0.998063	1.00131
31	99.94	99.8712	100.102	0.997697	1.00069
32	99.93	100.2	100.187	1.00013	0.997305
33	100.19	100.402	100.262	1.0014	0.997893
34	100.57	100.765	100.34	1.00423	0.998063
35	100.76	100.987	100.421	1.00564	0.997753
36	100.86	101.08	100.499	1.00578	0.997821
37	100.86	100.603	100.576	1.00027	1.00256
38	100.39	100.242	100.658	0.995867	1.00148
39	100.61	100.37	100.737	0.996363	1.00239
40	100.67	100.47	100.805	0.99668	1.00199
41	100.81	100.662	100.875	0.997885	1.00147
42	100.86	100.75	100.946	0.998063	1.00109
43	100.86	100.782	101.014	0.997697	1.00078
44	100.98	101.097	101.084	1.00013	0.99884
45	101.03	101.287	101.146	1.0014	0.997459
46	101.37	101.619	101.191	1.00423	0.997548
47	101.64	101.791	101.22	1.00564	0.998517
48	101.68	101.827	101.241	1.00578	0.99856
49	101.68	101.288	101.26	1.00027	1.00388
50	101.25	100.878	101.297	0.995867	1.00369
51	101.24	100.981	101.35	0.996363	1.00257
52	101.11	101.064	101.4	0.99668	1.00046
53	101.08	101.227	101.442	0.997885	0.998547
54	101.09	101.276	101.472	0.998063	0.998164
55	101.09	101.267	101.501	0.997697	0.998251
56	101.62	101.539	101.526	1.00013	1.0008
57	101.66	101.694	101.552	1.0014	0.999664
58	101.96	102.028	101.598	1.00423	0.999329
59	102.04	102.242	101.669	1.00564	0.998022
60	102.02	102.342	101.754	1.00578	0.996853
61	102.02	101.868	101.841	1.00027	1.00149
62	101.51	101.504	101.925	0.995867	1.00006
63	101.62	101.647	102.018	0.996363	0.999731
64	101.83	101.788	102.127	0.99668	1.00041
65	102.06	102.03	102.246	0.997885	1.0003
66	102.14	102.175	102.373	0.998063	0.999657
67	102.14	102.267	102.503	0.997697	0.998755
68	102.59	102.637	102.623	1.00013	0.999546
69	102.92	102.873	102.73	1.0014	1.00045
70	103.31	103.267	102.832	1.00423	1.00042
71	103.54	103.509	102.929	1.00564	1.0003
72	103.58	103.62	103.024	1.00578	0.999616
73	103.58	103.147	103.119	1.00027	1.0042
74	102.83	102.79	103.217	0.995867	1.00039
75	102.86	102.933	103.308	0.996363	0.999295
76	103.03	103.046	103.39	0.99668	0.999842
77	103.2	103.247	103.465	0.997885	0.999549
78	103.28	103.337	103.538	0.998063	0.999445
79	103.28	103.184	103.422	0.997697	1.00093
80	103.79	103.13	103.117	1.00013	1.0064
81	103.92	102.955	102.812	1.0014	1.00937
82	104.26	102.939	102.505	1.00423	1.01283
83	104.41	102.779	102.202	1.00564	1.01587
84	104.45	102.492	101.903	1.00578	1.0191
85	99.92	101.631	101.604	1.00027	0.983161
86	99.18	100.883	101.301	0.995867	0.983123
87	99.18	100.632	101	0.996363	0.985569
88	99.35	100.373	100.707	0.99668	0.989811
89	99.62	100.208	100.421	0.997885	0.994128
90	99.67	99.9452	100.139	0.998063	0.997246
91	99.72	99.825	100.055	0.997697	0.998948
92	100.08	100.205	100.192	1.00013	0.998748
93	100.39	100.497	100.357	1.0014	0.998938
94	100.77	100.941	100.516	1.00423	0.998302
95	101.03	101.226	100.658	1.00564	0.998067
96	101.07	101.371	100.788	1.00578	0.997034
97	101.29	100.922	100.895	1.00027	1.00364
98	101.1	100.563	100.98	0.995867	1.00534
99	101.2	100.683	101.051	0.996363	1.00513
100	101.15	100.759	101.095	0.99668	1.00388
101	101.24	100.899	101.112	0.997885	1.00338
102	101.16	100.929	101.125	0.998063	1.00229
103	100.81	NA	NA	0.997697	NA
104	101.02	NA	NA	1.00013	NA
105	101.15	NA	NA	1.0014	NA
106	101.06	NA	NA	1.00423	NA
107	101.17	NA	NA	1.00564	NA
108	101.22	NA	NA	1.00578	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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