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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Thu, 12 Dec 2013 14:13:02 -0500

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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/Dec/12/t1386875612px0sjcd4l7ou08g.htm/, Retrieved Fri, 19 Apr 2024 01:59:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232270, Retrieved Fri, 19 Apr 2024 01:59:19 +0000

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-       [Classical Decomposition] [] [2013-12-12 19:13:02] [d41d8cd98f00b204e9800998ecf8427e] [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	6 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232270&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232270&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232270&T=0

As an alternative you can also use a QR Code:

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	6 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	20.1	NA	NA	1.00003	NA
2	20.1	NA	NA	1.00245	NA
3	20.1	NA	NA	1.00179	NA
4	20.3	NA	NA	1.00372	NA
5	20.7	NA	NA	1.00013	NA
6	20.6	NA	NA	0.998746	NA
7	20.3	19.9892	19.875	1.00575	1.01555
8	19.9	19.852	19.7667	1.00432	1.00242
9	19.7	19.5936	19.6542	0.99692	1.00543
10	19.4	19.6007	19.5667	1.00174	0.98976
11	19.1	19.3299	19.475	0.992548	0.988108
12	18.8	19.1967	19.3542	0.991862	0.979337
13	18.9	19.2423	19.2417	1.00003	0.982213
14	18.7	19.2012	19.1542	1.00245	0.973899
15	18.8	19.1132	19.0792	1.00179	0.983611
16	19.5	19.1042	19.0333	1.00372	1.02072
17	19.3	19.0191	19.0167	1.00013	1.01477
18	19.1	18.9803	19.0042	0.998746	1.0063
19	19.1	19.0924	18.9833	1.00575	1.0004
20	19	19.036	18.9542	1.00432	0.998108
21	18.8	18.8626	18.9208	0.99692	0.996683
22	19.2	18.8828	18.85	1.00174	1.0168
23	18.9	18.6186	18.7583	0.992548	1.01512
24	18.7	18.5396	18.6917	0.991862	1.00865
25	18.5	18.6714	18.6708	1.00003	0.99082
26	18.4	18.7375	18.6917	1.00245	0.981987
27	18.3	18.7543	18.7208	1.00179	0.975778
28	18.3	18.8156	18.7458	1.00372	0.972596
29	18.3	18.7565	18.7542	1.00013	0.975661
30	18.5	18.7515	18.775	0.998746	0.98659
31	19.2	18.9877	18.8792	1.00575	1.01118
32	19.4	19.1448	19.0625	1.00432	1.01333
33	19.1	19.2239	19.2833	0.99692	0.993553
34	19.5	19.5298	19.4958	1.00174	0.998476
35	18.8	19.5325	19.6792	0.992548	0.962497
36	19.3	19.7009	19.8625	0.991862	0.979653
37	20.4	20.0381	20.0375	1.00003	1.01806
38	20.9	20.2579	20.2083	1.00245	1.0317
39	21.1	20.4573	20.4208	1.00179	1.03142
40	20.6	20.7311	20.6542	1.00372	0.993678
41	20.4	20.9193	20.9167	1.00013	0.975176
42	20.8	21.1859	21.2125	0.998746	0.981785
43	21.1	21.5775	21.4542	1.00575	0.977873
44	21.6	21.7226	21.6292	1.00432	0.994357
45	22	21.7162	21.7833	0.99692	1.01307
46	22.2	21.9924	21.9542	1.00174	1.00944
47	22.4	21.9767	22.1417	0.992548	1.01926
48	22.8	22.0979	22.2792	0.991862	1.03177
49	22.7	22.3132	22.3125	1.00003	1.01734
50	22.8	22.3004	22.2458	1.00245	1.0224
51	22.9	22.1645	22.125	1.00179	1.03318
52	22.9	22.0986	22.0167	1.00372	1.03626
53	22.6	21.9361	21.9333	1.00013	1.03027
54	21.9	21.7851	21.8125	0.998746	1.00527
55	20.8	21.7451	21.6208	1.00575	0.956538
56	20.3	21.4631	21.3708	1.00432	0.945808
57	20.4	21.0142	21.0792	0.99692	0.97077
58	21.2	20.8112	20.775	1.00174	1.01868
59	21.4	20.339	20.4917	0.992548	1.05217
60	20.9	20.0935	20.2583	0.991862	1.04014
61	20	20.1256	20.125	1.00003	0.993758
62	19.5	20.1326	20.0833	1.00245	0.968578
63	19.2	20.0733	20.0375	1.00179	0.956495
64	19.3	19.9657	19.8917	1.00372	0.966657
65	19.4	19.6608	19.6583	1.00013	0.986735
66	19.5	19.4048	19.4292	0.998746	1.00491
67	20	19.4067	19.2958	1.00575	1.03057
68	20.1	19.3624	19.2792	1.00432	1.03809
69	19.5	19.2572	19.3167	0.99692	1.01261
70	18.6	19.3962	19.3625	1.00174	0.958951
71	18.4	19.2678	19.4125	0.992548	0.954959
72	18.4	19.3165	19.475	0.991862	0.952553
73	19.3	19.4964	19.4958	1.00003	0.989925
74	19.8	19.5353	19.4875	1.00245	1.01355
75	19.8	19.5724	19.5375	1.00179	1.01163
76	19.8	19.7566	19.6833	1.00372	1.0022
77	20.1	19.9108	19.9083	1.00013	1.0095
78	20.3	20.1539	20.1792	0.998746	1.00725
79	19.7	NA	NA	1.00575	NA
80	20.2	NA	NA	1.00432	NA
81	20.6	NA	NA	0.99692	NA
82	21	NA	NA	1.00174	NA
83	21.4	NA	NA	0.992548	NA
84	21.9	NA	NA	0.991862	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 20.1 & NA & NA & 1.00003 & NA \tabularnewline
2 & 20.1 & NA & NA & 1.00245 & NA \tabularnewline
3 & 20.1 & NA & NA & 1.00179 & NA \tabularnewline
4 & 20.3 & NA & NA & 1.00372 & NA \tabularnewline
5 & 20.7 & NA & NA & 1.00013 & NA \tabularnewline
6 & 20.6 & NA & NA & 0.998746 & NA \tabularnewline
7 & 20.3 & 19.9892 & 19.875 & 1.00575 & 1.01555 \tabularnewline
8 & 19.9 & 19.852 & 19.7667 & 1.00432 & 1.00242 \tabularnewline
9 & 19.7 & 19.5936 & 19.6542 & 0.99692 & 1.00543 \tabularnewline
10 & 19.4 & 19.6007 & 19.5667 & 1.00174 & 0.98976 \tabularnewline
11 & 19.1 & 19.3299 & 19.475 & 0.992548 & 0.988108 \tabularnewline
12 & 18.8 & 19.1967 & 19.3542 & 0.991862 & 0.979337 \tabularnewline
13 & 18.9 & 19.2423 & 19.2417 & 1.00003 & 0.982213 \tabularnewline
14 & 18.7 & 19.2012 & 19.1542 & 1.00245 & 0.973899 \tabularnewline
15 & 18.8 & 19.1132 & 19.0792 & 1.00179 & 0.983611 \tabularnewline
16 & 19.5 & 19.1042 & 19.0333 & 1.00372 & 1.02072 \tabularnewline
17 & 19.3 & 19.0191 & 19.0167 & 1.00013 & 1.01477 \tabularnewline
18 & 19.1 & 18.9803 & 19.0042 & 0.998746 & 1.0063 \tabularnewline
19 & 19.1 & 19.0924 & 18.9833 & 1.00575 & 1.0004 \tabularnewline
20 & 19 & 19.036 & 18.9542 & 1.00432 & 0.998108 \tabularnewline
21 & 18.8 & 18.8626 & 18.9208 & 0.99692 & 0.996683 \tabularnewline
22 & 19.2 & 18.8828 & 18.85 & 1.00174 & 1.0168 \tabularnewline
23 & 18.9 & 18.6186 & 18.7583 & 0.992548 & 1.01512 \tabularnewline
24 & 18.7 & 18.5396 & 18.6917 & 0.991862 & 1.00865 \tabularnewline
25 & 18.5 & 18.6714 & 18.6708 & 1.00003 & 0.99082 \tabularnewline
26 & 18.4 & 18.7375 & 18.6917 & 1.00245 & 0.981987 \tabularnewline
27 & 18.3 & 18.7543 & 18.7208 & 1.00179 & 0.975778 \tabularnewline
28 & 18.3 & 18.8156 & 18.7458 & 1.00372 & 0.972596 \tabularnewline
29 & 18.3 & 18.7565 & 18.7542 & 1.00013 & 0.975661 \tabularnewline
30 & 18.5 & 18.7515 & 18.775 & 0.998746 & 0.98659 \tabularnewline
31 & 19.2 & 18.9877 & 18.8792 & 1.00575 & 1.01118 \tabularnewline
32 & 19.4 & 19.1448 & 19.0625 & 1.00432 & 1.01333 \tabularnewline
33 & 19.1 & 19.2239 & 19.2833 & 0.99692 & 0.993553 \tabularnewline
34 & 19.5 & 19.5298 & 19.4958 & 1.00174 & 0.998476 \tabularnewline
35 & 18.8 & 19.5325 & 19.6792 & 0.992548 & 0.962497 \tabularnewline
36 & 19.3 & 19.7009 & 19.8625 & 0.991862 & 0.979653 \tabularnewline
37 & 20.4 & 20.0381 & 20.0375 & 1.00003 & 1.01806 \tabularnewline
38 & 20.9 & 20.2579 & 20.2083 & 1.00245 & 1.0317 \tabularnewline
39 & 21.1 & 20.4573 & 20.4208 & 1.00179 & 1.03142 \tabularnewline
40 & 20.6 & 20.7311 & 20.6542 & 1.00372 & 0.993678 \tabularnewline
41 & 20.4 & 20.9193 & 20.9167 & 1.00013 & 0.975176 \tabularnewline
42 & 20.8 & 21.1859 & 21.2125 & 0.998746 & 0.981785 \tabularnewline
43 & 21.1 & 21.5775 & 21.4542 & 1.00575 & 0.977873 \tabularnewline
44 & 21.6 & 21.7226 & 21.6292 & 1.00432 & 0.994357 \tabularnewline
45 & 22 & 21.7162 & 21.7833 & 0.99692 & 1.01307 \tabularnewline
46 & 22.2 & 21.9924 & 21.9542 & 1.00174 & 1.00944 \tabularnewline
47 & 22.4 & 21.9767 & 22.1417 & 0.992548 & 1.01926 \tabularnewline
48 & 22.8 & 22.0979 & 22.2792 & 0.991862 & 1.03177 \tabularnewline
49 & 22.7 & 22.3132 & 22.3125 & 1.00003 & 1.01734 \tabularnewline
50 & 22.8 & 22.3004 & 22.2458 & 1.00245 & 1.0224 \tabularnewline
51 & 22.9 & 22.1645 & 22.125 & 1.00179 & 1.03318 \tabularnewline
52 & 22.9 & 22.0986 & 22.0167 & 1.00372 & 1.03626 \tabularnewline
53 & 22.6 & 21.9361 & 21.9333 & 1.00013 & 1.03027 \tabularnewline
54 & 21.9 & 21.7851 & 21.8125 & 0.998746 & 1.00527 \tabularnewline
55 & 20.8 & 21.7451 & 21.6208 & 1.00575 & 0.956538 \tabularnewline
56 & 20.3 & 21.4631 & 21.3708 & 1.00432 & 0.945808 \tabularnewline
57 & 20.4 & 21.0142 & 21.0792 & 0.99692 & 0.97077 \tabularnewline
58 & 21.2 & 20.8112 & 20.775 & 1.00174 & 1.01868 \tabularnewline
59 & 21.4 & 20.339 & 20.4917 & 0.992548 & 1.05217 \tabularnewline
60 & 20.9 & 20.0935 & 20.2583 & 0.991862 & 1.04014 \tabularnewline
61 & 20 & 20.1256 & 20.125 & 1.00003 & 0.993758 \tabularnewline
62 & 19.5 & 20.1326 & 20.0833 & 1.00245 & 0.968578 \tabularnewline
63 & 19.2 & 20.0733 & 20.0375 & 1.00179 & 0.956495 \tabularnewline
64 & 19.3 & 19.9657 & 19.8917 & 1.00372 & 0.966657 \tabularnewline
65 & 19.4 & 19.6608 & 19.6583 & 1.00013 & 0.986735 \tabularnewline
66 & 19.5 & 19.4048 & 19.4292 & 0.998746 & 1.00491 \tabularnewline
67 & 20 & 19.4067 & 19.2958 & 1.00575 & 1.03057 \tabularnewline
68 & 20.1 & 19.3624 & 19.2792 & 1.00432 & 1.03809 \tabularnewline
69 & 19.5 & 19.2572 & 19.3167 & 0.99692 & 1.01261 \tabularnewline
70 & 18.6 & 19.3962 & 19.3625 & 1.00174 & 0.958951 \tabularnewline
71 & 18.4 & 19.2678 & 19.4125 & 0.992548 & 0.954959 \tabularnewline
72 & 18.4 & 19.3165 & 19.475 & 0.991862 & 0.952553 \tabularnewline
73 & 19.3 & 19.4964 & 19.4958 & 1.00003 & 0.989925 \tabularnewline
74 & 19.8 & 19.5353 & 19.4875 & 1.00245 & 1.01355 \tabularnewline
75 & 19.8 & 19.5724 & 19.5375 & 1.00179 & 1.01163 \tabularnewline
76 & 19.8 & 19.7566 & 19.6833 & 1.00372 & 1.0022 \tabularnewline
77 & 20.1 & 19.9108 & 19.9083 & 1.00013 & 1.0095 \tabularnewline
78 & 20.3 & 20.1539 & 20.1792 & 0.998746 & 1.00725 \tabularnewline
79 & 19.7 & NA & NA & 1.00575 & NA \tabularnewline
80 & 20.2 & NA & NA & 1.00432 & NA \tabularnewline
81 & 20.6 & NA & NA & 0.99692 & NA \tabularnewline
82 & 21 & NA & NA & 1.00174 & NA \tabularnewline
83 & 21.4 & NA & NA & 0.992548 & NA \tabularnewline
84 & 21.9 & NA & NA & 0.991862 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232270&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]20.1[/C][C]NA[/C][C]NA[/C][C]1.00003[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]20.1[/C][C]NA[/C][C]NA[/C][C]1.00245[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]20.1[/C][C]NA[/C][C]NA[/C][C]1.00179[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]20.3[/C][C]NA[/C][C]NA[/C][C]1.00372[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]20.7[/C][C]NA[/C][C]NA[/C][C]1.00013[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]20.6[/C][C]NA[/C][C]NA[/C][C]0.998746[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]20.3[/C][C]19.9892[/C][C]19.875[/C][C]1.00575[/C][C]1.01555[/C][/ROW]
[ROW][C]8[/C][C]19.9[/C][C]19.852[/C][C]19.7667[/C][C]1.00432[/C][C]1.00242[/C][/ROW]
[ROW][C]9[/C][C]19.7[/C][C]19.5936[/C][C]19.6542[/C][C]0.99692[/C][C]1.00543[/C][/ROW]
[ROW][C]10[/C][C]19.4[/C][C]19.6007[/C][C]19.5667[/C][C]1.00174[/C][C]0.98976[/C][/ROW]
[ROW][C]11[/C][C]19.1[/C][C]19.3299[/C][C]19.475[/C][C]0.992548[/C][C]0.988108[/C][/ROW]
[ROW][C]12[/C][C]18.8[/C][C]19.1967[/C][C]19.3542[/C][C]0.991862[/C][C]0.979337[/C][/ROW]
[ROW][C]13[/C][C]18.9[/C][C]19.2423[/C][C]19.2417[/C][C]1.00003[/C][C]0.982213[/C][/ROW]
[ROW][C]14[/C][C]18.7[/C][C]19.2012[/C][C]19.1542[/C][C]1.00245[/C][C]0.973899[/C][/ROW]
[ROW][C]15[/C][C]18.8[/C][C]19.1132[/C][C]19.0792[/C][C]1.00179[/C][C]0.983611[/C][/ROW]
[ROW][C]16[/C][C]19.5[/C][C]19.1042[/C][C]19.0333[/C][C]1.00372[/C][C]1.02072[/C][/ROW]
[ROW][C]17[/C][C]19.3[/C][C]19.0191[/C][C]19.0167[/C][C]1.00013[/C][C]1.01477[/C][/ROW]
[ROW][C]18[/C][C]19.1[/C][C]18.9803[/C][C]19.0042[/C][C]0.998746[/C][C]1.0063[/C][/ROW]
[ROW][C]19[/C][C]19.1[/C][C]19.0924[/C][C]18.9833[/C][C]1.00575[/C][C]1.0004[/C][/ROW]
[ROW][C]20[/C][C]19[/C][C]19.036[/C][C]18.9542[/C][C]1.00432[/C][C]0.998108[/C][/ROW]
[ROW][C]21[/C][C]18.8[/C][C]18.8626[/C][C]18.9208[/C][C]0.99692[/C][C]0.996683[/C][/ROW]
[ROW][C]22[/C][C]19.2[/C][C]18.8828[/C][C]18.85[/C][C]1.00174[/C][C]1.0168[/C][/ROW]
[ROW][C]23[/C][C]18.9[/C][C]18.6186[/C][C]18.7583[/C][C]0.992548[/C][C]1.01512[/C][/ROW]
[ROW][C]24[/C][C]18.7[/C][C]18.5396[/C][C]18.6917[/C][C]0.991862[/C][C]1.00865[/C][/ROW]
[ROW][C]25[/C][C]18.5[/C][C]18.6714[/C][C]18.6708[/C][C]1.00003[/C][C]0.99082[/C][/ROW]
[ROW][C]26[/C][C]18.4[/C][C]18.7375[/C][C]18.6917[/C][C]1.00245[/C][C]0.981987[/C][/ROW]
[ROW][C]27[/C][C]18.3[/C][C]18.7543[/C][C]18.7208[/C][C]1.00179[/C][C]0.975778[/C][/ROW]
[ROW][C]28[/C][C]18.3[/C][C]18.8156[/C][C]18.7458[/C][C]1.00372[/C][C]0.972596[/C][/ROW]
[ROW][C]29[/C][C]18.3[/C][C]18.7565[/C][C]18.7542[/C][C]1.00013[/C][C]0.975661[/C][/ROW]
[ROW][C]30[/C][C]18.5[/C][C]18.7515[/C][C]18.775[/C][C]0.998746[/C][C]0.98659[/C][/ROW]
[ROW][C]31[/C][C]19.2[/C][C]18.9877[/C][C]18.8792[/C][C]1.00575[/C][C]1.01118[/C][/ROW]
[ROW][C]32[/C][C]19.4[/C][C]19.1448[/C][C]19.0625[/C][C]1.00432[/C][C]1.01333[/C][/ROW]
[ROW][C]33[/C][C]19.1[/C][C]19.2239[/C][C]19.2833[/C][C]0.99692[/C][C]0.993553[/C][/ROW]
[ROW][C]34[/C][C]19.5[/C][C]19.5298[/C][C]19.4958[/C][C]1.00174[/C][C]0.998476[/C][/ROW]
[ROW][C]35[/C][C]18.8[/C][C]19.5325[/C][C]19.6792[/C][C]0.992548[/C][C]0.962497[/C][/ROW]
[ROW][C]36[/C][C]19.3[/C][C]19.7009[/C][C]19.8625[/C][C]0.991862[/C][C]0.979653[/C][/ROW]
[ROW][C]37[/C][C]20.4[/C][C]20.0381[/C][C]20.0375[/C][C]1.00003[/C][C]1.01806[/C][/ROW]
[ROW][C]38[/C][C]20.9[/C][C]20.2579[/C][C]20.2083[/C][C]1.00245[/C][C]1.0317[/C][/ROW]
[ROW][C]39[/C][C]21.1[/C][C]20.4573[/C][C]20.4208[/C][C]1.00179[/C][C]1.03142[/C][/ROW]
[ROW][C]40[/C][C]20.6[/C][C]20.7311[/C][C]20.6542[/C][C]1.00372[/C][C]0.993678[/C][/ROW]
[ROW][C]41[/C][C]20.4[/C][C]20.9193[/C][C]20.9167[/C][C]1.00013[/C][C]0.975176[/C][/ROW]
[ROW][C]42[/C][C]20.8[/C][C]21.1859[/C][C]21.2125[/C][C]0.998746[/C][C]0.981785[/C][/ROW]
[ROW][C]43[/C][C]21.1[/C][C]21.5775[/C][C]21.4542[/C][C]1.00575[/C][C]0.977873[/C][/ROW]
[ROW][C]44[/C][C]21.6[/C][C]21.7226[/C][C]21.6292[/C][C]1.00432[/C][C]0.994357[/C][/ROW]
[ROW][C]45[/C][C]22[/C][C]21.7162[/C][C]21.7833[/C][C]0.99692[/C][C]1.01307[/C][/ROW]
[ROW][C]46[/C][C]22.2[/C][C]21.9924[/C][C]21.9542[/C][C]1.00174[/C][C]1.00944[/C][/ROW]
[ROW][C]47[/C][C]22.4[/C][C]21.9767[/C][C]22.1417[/C][C]0.992548[/C][C]1.01926[/C][/ROW]
[ROW][C]48[/C][C]22.8[/C][C]22.0979[/C][C]22.2792[/C][C]0.991862[/C][C]1.03177[/C][/ROW]
[ROW][C]49[/C][C]22.7[/C][C]22.3132[/C][C]22.3125[/C][C]1.00003[/C][C]1.01734[/C][/ROW]
[ROW][C]50[/C][C]22.8[/C][C]22.3004[/C][C]22.2458[/C][C]1.00245[/C][C]1.0224[/C][/ROW]
[ROW][C]51[/C][C]22.9[/C][C]22.1645[/C][C]22.125[/C][C]1.00179[/C][C]1.03318[/C][/ROW]
[ROW][C]52[/C][C]22.9[/C][C]22.0986[/C][C]22.0167[/C][C]1.00372[/C][C]1.03626[/C][/ROW]
[ROW][C]53[/C][C]22.6[/C][C]21.9361[/C][C]21.9333[/C][C]1.00013[/C][C]1.03027[/C][/ROW]
[ROW][C]54[/C][C]21.9[/C][C]21.7851[/C][C]21.8125[/C][C]0.998746[/C][C]1.00527[/C][/ROW]
[ROW][C]55[/C][C]20.8[/C][C]21.7451[/C][C]21.6208[/C][C]1.00575[/C][C]0.956538[/C][/ROW]
[ROW][C]56[/C][C]20.3[/C][C]21.4631[/C][C]21.3708[/C][C]1.00432[/C][C]0.945808[/C][/ROW]
[ROW][C]57[/C][C]20.4[/C][C]21.0142[/C][C]21.0792[/C][C]0.99692[/C][C]0.97077[/C][/ROW]
[ROW][C]58[/C][C]21.2[/C][C]20.8112[/C][C]20.775[/C][C]1.00174[/C][C]1.01868[/C][/ROW]
[ROW][C]59[/C][C]21.4[/C][C]20.339[/C][C]20.4917[/C][C]0.992548[/C][C]1.05217[/C][/ROW]
[ROW][C]60[/C][C]20.9[/C][C]20.0935[/C][C]20.2583[/C][C]0.991862[/C][C]1.04014[/C][/ROW]
[ROW][C]61[/C][C]20[/C][C]20.1256[/C][C]20.125[/C][C]1.00003[/C][C]0.993758[/C][/ROW]
[ROW][C]62[/C][C]19.5[/C][C]20.1326[/C][C]20.0833[/C][C]1.00245[/C][C]0.968578[/C][/ROW]
[ROW][C]63[/C][C]19.2[/C][C]20.0733[/C][C]20.0375[/C][C]1.00179[/C][C]0.956495[/C][/ROW]
[ROW][C]64[/C][C]19.3[/C][C]19.9657[/C][C]19.8917[/C][C]1.00372[/C][C]0.966657[/C][/ROW]
[ROW][C]65[/C][C]19.4[/C][C]19.6608[/C][C]19.6583[/C][C]1.00013[/C][C]0.986735[/C][/ROW]
[ROW][C]66[/C][C]19.5[/C][C]19.4048[/C][C]19.4292[/C][C]0.998746[/C][C]1.00491[/C][/ROW]
[ROW][C]67[/C][C]20[/C][C]19.4067[/C][C]19.2958[/C][C]1.00575[/C][C]1.03057[/C][/ROW]
[ROW][C]68[/C][C]20.1[/C][C]19.3624[/C][C]19.2792[/C][C]1.00432[/C][C]1.03809[/C][/ROW]
[ROW][C]69[/C][C]19.5[/C][C]19.2572[/C][C]19.3167[/C][C]0.99692[/C][C]1.01261[/C][/ROW]
[ROW][C]70[/C][C]18.6[/C][C]19.3962[/C][C]19.3625[/C][C]1.00174[/C][C]0.958951[/C][/ROW]
[ROW][C]71[/C][C]18.4[/C][C]19.2678[/C][C]19.4125[/C][C]0.992548[/C][C]0.954959[/C][/ROW]
[ROW][C]72[/C][C]18.4[/C][C]19.3165[/C][C]19.475[/C][C]0.991862[/C][C]0.952553[/C][/ROW]
[ROW][C]73[/C][C]19.3[/C][C]19.4964[/C][C]19.4958[/C][C]1.00003[/C][C]0.989925[/C][/ROW]
[ROW][C]74[/C][C]19.8[/C][C]19.5353[/C][C]19.4875[/C][C]1.00245[/C][C]1.01355[/C][/ROW]
[ROW][C]75[/C][C]19.8[/C][C]19.5724[/C][C]19.5375[/C][C]1.00179[/C][C]1.01163[/C][/ROW]
[ROW][C]76[/C][C]19.8[/C][C]19.7566[/C][C]19.6833[/C][C]1.00372[/C][C]1.0022[/C][/ROW]
[ROW][C]77[/C][C]20.1[/C][C]19.9108[/C][C]19.9083[/C][C]1.00013[/C][C]1.0095[/C][/ROW]
[ROW][C]78[/C][C]20.3[/C][C]20.1539[/C][C]20.1792[/C][C]0.998746[/C][C]1.00725[/C][/ROW]
[ROW][C]79[/C][C]19.7[/C][C]NA[/C][C]NA[/C][C]1.00575[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]20.2[/C][C]NA[/C][C]NA[/C][C]1.00432[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]20.6[/C][C]NA[/C][C]NA[/C][C]0.99692[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]21[/C][C]NA[/C][C]NA[/C][C]1.00174[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]21.4[/C][C]NA[/C][C]NA[/C][C]0.992548[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]21.9[/C][C]NA[/C][C]NA[/C][C]0.991862[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232270&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232270&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	20.1	NA	NA	1.00003	NA
2	20.1	NA	NA	1.00245	NA
3	20.1	NA	NA	1.00179	NA
4	20.3	NA	NA	1.00372	NA
5	20.7	NA	NA	1.00013	NA
6	20.6	NA	NA	0.998746	NA
7	20.3	19.9892	19.875	1.00575	1.01555
8	19.9	19.852	19.7667	1.00432	1.00242
9	19.7	19.5936	19.6542	0.99692	1.00543
10	19.4	19.6007	19.5667	1.00174	0.98976
11	19.1	19.3299	19.475	0.992548	0.988108
12	18.8	19.1967	19.3542	0.991862	0.979337
13	18.9	19.2423	19.2417	1.00003	0.982213
14	18.7	19.2012	19.1542	1.00245	0.973899
15	18.8	19.1132	19.0792	1.00179	0.983611
16	19.5	19.1042	19.0333	1.00372	1.02072
17	19.3	19.0191	19.0167	1.00013	1.01477
18	19.1	18.9803	19.0042	0.998746	1.0063
19	19.1	19.0924	18.9833	1.00575	1.0004
20	19	19.036	18.9542	1.00432	0.998108
21	18.8	18.8626	18.9208	0.99692	0.996683
22	19.2	18.8828	18.85	1.00174	1.0168
23	18.9	18.6186	18.7583	0.992548	1.01512
24	18.7	18.5396	18.6917	0.991862	1.00865
25	18.5	18.6714	18.6708	1.00003	0.99082
26	18.4	18.7375	18.6917	1.00245	0.981987
27	18.3	18.7543	18.7208	1.00179	0.975778
28	18.3	18.8156	18.7458	1.00372	0.972596
29	18.3	18.7565	18.7542	1.00013	0.975661
30	18.5	18.7515	18.775	0.998746	0.98659
31	19.2	18.9877	18.8792	1.00575	1.01118
32	19.4	19.1448	19.0625	1.00432	1.01333
33	19.1	19.2239	19.2833	0.99692	0.993553
34	19.5	19.5298	19.4958	1.00174	0.998476
35	18.8	19.5325	19.6792	0.992548	0.962497
36	19.3	19.7009	19.8625	0.991862	0.979653
37	20.4	20.0381	20.0375	1.00003	1.01806
38	20.9	20.2579	20.2083	1.00245	1.0317
39	21.1	20.4573	20.4208	1.00179	1.03142
40	20.6	20.7311	20.6542	1.00372	0.993678
41	20.4	20.9193	20.9167	1.00013	0.975176
42	20.8	21.1859	21.2125	0.998746	0.981785
43	21.1	21.5775	21.4542	1.00575	0.977873
44	21.6	21.7226	21.6292	1.00432	0.994357
45	22	21.7162	21.7833	0.99692	1.01307
46	22.2	21.9924	21.9542	1.00174	1.00944
47	22.4	21.9767	22.1417	0.992548	1.01926
48	22.8	22.0979	22.2792	0.991862	1.03177
49	22.7	22.3132	22.3125	1.00003	1.01734
50	22.8	22.3004	22.2458	1.00245	1.0224
51	22.9	22.1645	22.125	1.00179	1.03318
52	22.9	22.0986	22.0167	1.00372	1.03626
53	22.6	21.9361	21.9333	1.00013	1.03027
54	21.9	21.7851	21.8125	0.998746	1.00527
55	20.8	21.7451	21.6208	1.00575	0.956538
56	20.3	21.4631	21.3708	1.00432	0.945808
57	20.4	21.0142	21.0792	0.99692	0.97077
58	21.2	20.8112	20.775	1.00174	1.01868
59	21.4	20.339	20.4917	0.992548	1.05217
60	20.9	20.0935	20.2583	0.991862	1.04014
61	20	20.1256	20.125	1.00003	0.993758
62	19.5	20.1326	20.0833	1.00245	0.968578
63	19.2	20.0733	20.0375	1.00179	0.956495
64	19.3	19.9657	19.8917	1.00372	0.966657
65	19.4	19.6608	19.6583	1.00013	0.986735
66	19.5	19.4048	19.4292	0.998746	1.00491
67	20	19.4067	19.2958	1.00575	1.03057
68	20.1	19.3624	19.2792	1.00432	1.03809
69	19.5	19.2572	19.3167	0.99692	1.01261
70	18.6	19.3962	19.3625	1.00174	0.958951
71	18.4	19.2678	19.4125	0.992548	0.954959
72	18.4	19.3165	19.475	0.991862	0.952553
73	19.3	19.4964	19.4958	1.00003	0.989925
74	19.8	19.5353	19.4875	1.00245	1.01355
75	19.8	19.5724	19.5375	1.00179	1.01163
76	19.8	19.7566	19.6833	1.00372	1.0022
77	20.1	19.9108	19.9083	1.00013	1.0095
78	20.3	20.1539	20.1792	0.998746	1.00725
79	19.7	NA	NA	1.00575	NA
80	20.2	NA	NA	1.00432	NA
81	20.6	NA	NA	0.99692	NA
82	21	NA	NA	1.00174	NA
83	21.4	NA	NA	0.992548	NA
84	21.9	NA	NA	0.991862	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