Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 02 May 2013 18:55:52 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/02/t1367535474mpi5s9wj0w68m8o.htm/, Retrieved Fri, 03 May 2024 18:46:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208672, Retrieved Fri, 03 May 2024 18:46:18 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-       [Classical Decomposition] [] [2013-05-02 22:55:52] [5a9341e272b893f7b62f80073db2bd47] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

1,01
1,02
1,04
1,06
1,06
1,06
1,06
1,06
1,02
0,98
0,99
0,99
0,94
0,96
0,98
1,01
1,01
1,02
1,04
1,03
1,05
1,08
1,17
1,11
1,11
1,11
1,2
1,21
1,31
1,37
1,37
1,26
1,23
1,17
1,06
0,95
0,92
0,92
0,9
0,93
0,93
0,97
0,96
0,99
0,98
0,96
1
0,99
1,03
1,02
1,07
1,13
1,15
1,16
1,14
1,15
1,15
1,16
1,17
1,22
1,26
1,29
1,36
1,38
1,37
1,37
1,37
1,36
1,38
1,4
1,44
1,42

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208672&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]3 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=208672&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208672&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	1.01	NA	NA	0.956213052949742	NA
2	1.02	NA	NA	0.95917403255673	NA
3	1.04	NA	NA	0.99031701032971	NA
4	1.06	NA	NA	1.01307153781741	NA
5	1.06	NA	NA	1.02558541761086	NA
6	1.06	NA	NA	1.04145237312909	NA
7	1.06	1.0675387232476	1.02625	1.04023261705003	0.992938220334844
8	1.06	1.04505129738243	1.02083333333333	1.02372371988483	1.0143042764073
9	1.02	1.02400805151592	1.01583333333333	1.00804730255874	0.996085917967165
10	0.98	0.999308767578696	1.01125	0.988191611944322	0.980677876342984
11	0.99	0.998838828858585	1.00708333333333	0.991813483351511	0.991150895817011
12	0.99	0.965385100286415	1.00333333333333	0.962177840817025	1.02549749287231
13	0.94	0.957009897160534	1.00083333333333	0.956213052949742	0.982225996605675
14	0.96	0.957975065016034	0.99875	0.95917403255673	1.00211376585666
15	0.98	0.989079114066798	0.99875	0.99031701032971	0.990820639180755
16	1.01	1.01729266922498	1.00416666666667	1.01307153781741	0.992831296788432
17	1.01	1.0418238533897	1.01583333333333	1.02558541761086	0.96945371015824
18	1.02	1.07096019036775	1.02833333333333	1.04145237312909	0.952416354196836
19	1.04	1.08227535198914	1.04041666666667	1.04023261705003	0.960938450726574
20	1.03	1.07874886982864	1.05375	1.02372371988483	0.954809806812235
21	1.05	1.07777057431905	1.06916666666667	1.00804730255874	0.974233315530445
22	1.08	1.0738348849795	1.08666666666667	0.988191611944322	1.00574121320395
23	1.17	1.0984334328118	1.1075	0.991813483351511	1.0651533038329
24	1.11	1.09167094189365	1.13458333333333	0.962177840817025	1.01678991113802
25	1.11	1.11199609615947	1.16291666666667	0.956213052949742	0.998204943195066
26	1.11	1.13782019612042	1.18625	0.95917403255673	0.975549567308369
27	1.2	1.19168146909675	1.20333333333333	0.99031701032971	1.00698049866426
28	1.21	1.23045980530739	1.21458333333333	1.01307153781741	0.983372227829678
29	1.31	1.24480430062518	1.21375	1.02558541761086	1.05237425621206
30	1.37	1.25234647868773	1.2025	1.04145237312909	1.09394646235246
31	1.37	1.23570966300402	1.18791666666667	1.04023261705003	1.10867466769623
32	1.26	1.19988951001501	1.17208333333333	1.02372371988483	1.05009668763938
33	1.23	1.16093447678015	1.15166666666667	1.00804730255874	1.05949131893422
34	1.17	1.11418604246722	1.1275	0.988191611944322	1.05009392992321
35	1.06	1.09099483168666	1.1	0.991813483351511	0.971590303834212
36	0.95	1.02712484507217	1.0675	0.962177840817025	0.924911907795634
37	0.92	0.988485243486796	1.03375	0.956213052949742	0.930716979400502
38	0.92	0.964369558566412	1.00541666666667	0.95917403255673	0.953991124904056
39	0.9	0.974224358911853	0.98375	0.99031701032971	0.92381184248487
40	0.93	0.977191920853039	0.964583333333333	1.01307153781741	0.951706599444823
41	0.93	0.977724764789022	0.953333333333333	1.02558541761086	0.951187934981559
42	0.97	0.991983385405459	0.9525	1.04145237312909	0.977838958062313
43	0.96	0.997323021596719	0.95875	1.04023261705003	0.962576797297866
44	0.99	0.990452698988573	0.9675	1.02372371988483	0.999542937296213
45	0.98	0.986626297379364	0.97875	1.00804730255874	0.993283883272761
46	0.96	0.982427160874647	0.994166666666667	0.988191611944322	0.977171680743558
47	1	1.00338464065728	1.01166666666667	0.991813483351511	0.996626776492152
48	0.99	0.989840453740515	1.02875	0.962177840817025	1.0001611838139
49	1.03	0.998445796121689	1.04416666666667	0.956213052949742	1.03160332188375
50	1.02	1.01512585112254	1.05833333333333	0.95917403255673	1.00480152177395
51	1.07	1.06170236149098	1.07208333333333	0.99031701032971	1.00781540929924
52	1.13	1.10171529737643	1.0875	1.01307153781741	1.02567333202228
53	1.15	1.13113525017331	1.10291666666667	1.02558541761086	1.01667771367199
54	1.16	1.16599271941578	1.11958333333333	1.04145237312909	0.994860414378247
55	1.14	1.18456489266573	1.13875	1.04023261705003	0.962378681875809
56	1.15	1.18709296351645	1.15958333333333	1.02372371988483	0.968753109776194
57	1.15	1.19243595498511	1.18291666666667	1.00804730255874	0.964412382226737
58	1.16	1.19118263889788	1.20541666666667	0.988191611944322	0.973822117717619
59	1.17	1.2149715171056	1.225	0.991813483351511	0.962985537955049
60	1.22	1.19590687464883	1.24291666666667	0.962177840817025	1.02014632231147
61	1.26	1.20602371303286	1.26125	0.956213052949742	1.04475557684633
62	1.29	1.22734310582572	1.27958333333333	0.95917403255673	1.05105083808829
63	1.36	1.28534895299044	1.29791666666667	0.99031701032971	1.0580784283022
64	1.38	1.33472175107443	1.3175	1.01307153781741	1.03392336184611
65	1.37	1.37300247782654	1.33875	1.02558541761086	0.997813202907475
66	1.37	1.41463947350035	1.35833333333333	1.04145237312909	0.968444628941469
67	1.37	NA	NA	1.04023261705003	NA
68	1.36	NA	NA	1.02372371988483	NA
69	1.38	NA	NA	1.00804730255874	NA
70	1.4	NA	NA	0.988191611944322	NA
71	1.44	NA	NA	0.991813483351511	NA
72	1.42	NA	NA	0.962177840817025	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.01 & NA & NA & 0.956213052949742 & NA \tabularnewline
2 & 1.02 & NA & NA & 0.95917403255673 & NA \tabularnewline
3 & 1.04 & NA & NA & 0.99031701032971 & NA \tabularnewline
4 & 1.06 & NA & NA & 1.01307153781741 & NA \tabularnewline
5 & 1.06 & NA & NA & 1.02558541761086 & NA \tabularnewline
6 & 1.06 & NA & NA & 1.04145237312909 & NA \tabularnewline
7 & 1.06 & 1.0675387232476 & 1.02625 & 1.04023261705003 & 0.992938220334844 \tabularnewline
8 & 1.06 & 1.04505129738243 & 1.02083333333333 & 1.02372371988483 & 1.0143042764073 \tabularnewline
9 & 1.02 & 1.02400805151592 & 1.01583333333333 & 1.00804730255874 & 0.996085917967165 \tabularnewline
10 & 0.98 & 0.999308767578696 & 1.01125 & 0.988191611944322 & 0.980677876342984 \tabularnewline
11 & 0.99 & 0.998838828858585 & 1.00708333333333 & 0.991813483351511 & 0.991150895817011 \tabularnewline
12 & 0.99 & 0.965385100286415 & 1.00333333333333 & 0.962177840817025 & 1.02549749287231 \tabularnewline
13 & 0.94 & 0.957009897160534 & 1.00083333333333 & 0.956213052949742 & 0.982225996605675 \tabularnewline
14 & 0.96 & 0.957975065016034 & 0.99875 & 0.95917403255673 & 1.00211376585666 \tabularnewline
15 & 0.98 & 0.989079114066798 & 0.99875 & 0.99031701032971 & 0.990820639180755 \tabularnewline
16 & 1.01 & 1.01729266922498 & 1.00416666666667 & 1.01307153781741 & 0.992831296788432 \tabularnewline
17 & 1.01 & 1.0418238533897 & 1.01583333333333 & 1.02558541761086 & 0.96945371015824 \tabularnewline
18 & 1.02 & 1.07096019036775 & 1.02833333333333 & 1.04145237312909 & 0.952416354196836 \tabularnewline
19 & 1.04 & 1.08227535198914 & 1.04041666666667 & 1.04023261705003 & 0.960938450726574 \tabularnewline
20 & 1.03 & 1.07874886982864 & 1.05375 & 1.02372371988483 & 0.954809806812235 \tabularnewline
21 & 1.05 & 1.07777057431905 & 1.06916666666667 & 1.00804730255874 & 0.974233315530445 \tabularnewline
22 & 1.08 & 1.0738348849795 & 1.08666666666667 & 0.988191611944322 & 1.00574121320395 \tabularnewline
23 & 1.17 & 1.0984334328118 & 1.1075 & 0.991813483351511 & 1.0651533038329 \tabularnewline
24 & 1.11 & 1.09167094189365 & 1.13458333333333 & 0.962177840817025 & 1.01678991113802 \tabularnewline
25 & 1.11 & 1.11199609615947 & 1.16291666666667 & 0.956213052949742 & 0.998204943195066 \tabularnewline
26 & 1.11 & 1.13782019612042 & 1.18625 & 0.95917403255673 & 0.975549567308369 \tabularnewline
27 & 1.2 & 1.19168146909675 & 1.20333333333333 & 0.99031701032971 & 1.00698049866426 \tabularnewline
28 & 1.21 & 1.23045980530739 & 1.21458333333333 & 1.01307153781741 & 0.983372227829678 \tabularnewline
29 & 1.31 & 1.24480430062518 & 1.21375 & 1.02558541761086 & 1.05237425621206 \tabularnewline
30 & 1.37 & 1.25234647868773 & 1.2025 & 1.04145237312909 & 1.09394646235246 \tabularnewline
31 & 1.37 & 1.23570966300402 & 1.18791666666667 & 1.04023261705003 & 1.10867466769623 \tabularnewline
32 & 1.26 & 1.19988951001501 & 1.17208333333333 & 1.02372371988483 & 1.05009668763938 \tabularnewline
33 & 1.23 & 1.16093447678015 & 1.15166666666667 & 1.00804730255874 & 1.05949131893422 \tabularnewline
34 & 1.17 & 1.11418604246722 & 1.1275 & 0.988191611944322 & 1.05009392992321 \tabularnewline
35 & 1.06 & 1.09099483168666 & 1.1 & 0.991813483351511 & 0.971590303834212 \tabularnewline
36 & 0.95 & 1.02712484507217 & 1.0675 & 0.962177840817025 & 0.924911907795634 \tabularnewline
37 & 0.92 & 0.988485243486796 & 1.03375 & 0.956213052949742 & 0.930716979400502 \tabularnewline
38 & 0.92 & 0.964369558566412 & 1.00541666666667 & 0.95917403255673 & 0.953991124904056 \tabularnewline
39 & 0.9 & 0.974224358911853 & 0.98375 & 0.99031701032971 & 0.92381184248487 \tabularnewline
40 & 0.93 & 0.977191920853039 & 0.964583333333333 & 1.01307153781741 & 0.951706599444823 \tabularnewline
41 & 0.93 & 0.977724764789022 & 0.953333333333333 & 1.02558541761086 & 0.951187934981559 \tabularnewline
42 & 0.97 & 0.991983385405459 & 0.9525 & 1.04145237312909 & 0.977838958062313 \tabularnewline
43 & 0.96 & 0.997323021596719 & 0.95875 & 1.04023261705003 & 0.962576797297866 \tabularnewline
44 & 0.99 & 0.990452698988573 & 0.9675 & 1.02372371988483 & 0.999542937296213 \tabularnewline
45 & 0.98 & 0.986626297379364 & 0.97875 & 1.00804730255874 & 0.993283883272761 \tabularnewline
46 & 0.96 & 0.982427160874647 & 0.994166666666667 & 0.988191611944322 & 0.977171680743558 \tabularnewline
47 & 1 & 1.00338464065728 & 1.01166666666667 & 0.991813483351511 & 0.996626776492152 \tabularnewline
48 & 0.99 & 0.989840453740515 & 1.02875 & 0.962177840817025 & 1.0001611838139 \tabularnewline
49 & 1.03 & 0.998445796121689 & 1.04416666666667 & 0.956213052949742 & 1.03160332188375 \tabularnewline
50 & 1.02 & 1.01512585112254 & 1.05833333333333 & 0.95917403255673 & 1.00480152177395 \tabularnewline
51 & 1.07 & 1.06170236149098 & 1.07208333333333 & 0.99031701032971 & 1.00781540929924 \tabularnewline
52 & 1.13 & 1.10171529737643 & 1.0875 & 1.01307153781741 & 1.02567333202228 \tabularnewline
53 & 1.15 & 1.13113525017331 & 1.10291666666667 & 1.02558541761086 & 1.01667771367199 \tabularnewline
54 & 1.16 & 1.16599271941578 & 1.11958333333333 & 1.04145237312909 & 0.994860414378247 \tabularnewline
55 & 1.14 & 1.18456489266573 & 1.13875 & 1.04023261705003 & 0.962378681875809 \tabularnewline
56 & 1.15 & 1.18709296351645 & 1.15958333333333 & 1.02372371988483 & 0.968753109776194 \tabularnewline
57 & 1.15 & 1.19243595498511 & 1.18291666666667 & 1.00804730255874 & 0.964412382226737 \tabularnewline
58 & 1.16 & 1.19118263889788 & 1.20541666666667 & 0.988191611944322 & 0.973822117717619 \tabularnewline
59 & 1.17 & 1.2149715171056 & 1.225 & 0.991813483351511 & 0.962985537955049 \tabularnewline
60 & 1.22 & 1.19590687464883 & 1.24291666666667 & 0.962177840817025 & 1.02014632231147 \tabularnewline
61 & 1.26 & 1.20602371303286 & 1.26125 & 0.956213052949742 & 1.04475557684633 \tabularnewline
62 & 1.29 & 1.22734310582572 & 1.27958333333333 & 0.95917403255673 & 1.05105083808829 \tabularnewline
63 & 1.36 & 1.28534895299044 & 1.29791666666667 & 0.99031701032971 & 1.0580784283022 \tabularnewline
64 & 1.38 & 1.33472175107443 & 1.3175 & 1.01307153781741 & 1.03392336184611 \tabularnewline
65 & 1.37 & 1.37300247782654 & 1.33875 & 1.02558541761086 & 0.997813202907475 \tabularnewline
66 & 1.37 & 1.41463947350035 & 1.35833333333333 & 1.04145237312909 & 0.968444628941469 \tabularnewline
67 & 1.37 & NA & NA & 1.04023261705003 & NA \tabularnewline
68 & 1.36 & NA & NA & 1.02372371988483 & NA \tabularnewline
69 & 1.38 & NA & NA & 1.00804730255874 & NA \tabularnewline
70 & 1.4 & NA & NA & 0.988191611944322 & NA \tabularnewline
71 & 1.44 & NA & NA & 0.991813483351511 & NA \tabularnewline
72 & 1.42 & NA & NA & 0.962177840817025 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208672&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]1.01[/C][C]NA[/C][C]NA[/C][C]0.956213052949742[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1.02[/C][C]NA[/C][C]NA[/C][C]0.95917403255673[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1.04[/C][C]NA[/C][C]NA[/C][C]0.99031701032971[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1.06[/C][C]NA[/C][C]NA[/C][C]1.01307153781741[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1.06[/C][C]NA[/C][C]NA[/C][C]1.02558541761086[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.06[/C][C]NA[/C][C]NA[/C][C]1.04145237312909[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1.06[/C][C]1.0675387232476[/C][C]1.02625[/C][C]1.04023261705003[/C][C]0.992938220334844[/C][/ROW]
[ROW][C]8[/C][C]1.06[/C][C]1.04505129738243[/C][C]1.02083333333333[/C][C]1.02372371988483[/C][C]1.0143042764073[/C][/ROW]
[ROW][C]9[/C][C]1.02[/C][C]1.02400805151592[/C][C]1.01583333333333[/C][C]1.00804730255874[/C][C]0.996085917967165[/C][/ROW]
[ROW][C]10[/C][C]0.98[/C][C]0.999308767578696[/C][C]1.01125[/C][C]0.988191611944322[/C][C]0.980677876342984[/C][/ROW]
[ROW][C]11[/C][C]0.99[/C][C]0.998838828858585[/C][C]1.00708333333333[/C][C]0.991813483351511[/C][C]0.991150895817011[/C][/ROW]
[ROW][C]12[/C][C]0.99[/C][C]0.965385100286415[/C][C]1.00333333333333[/C][C]0.962177840817025[/C][C]1.02549749287231[/C][/ROW]
[ROW][C]13[/C][C]0.94[/C][C]0.957009897160534[/C][C]1.00083333333333[/C][C]0.956213052949742[/C][C]0.982225996605675[/C][/ROW]
[ROW][C]14[/C][C]0.96[/C][C]0.957975065016034[/C][C]0.99875[/C][C]0.95917403255673[/C][C]1.00211376585666[/C][/ROW]
[ROW][C]15[/C][C]0.98[/C][C]0.989079114066798[/C][C]0.99875[/C][C]0.99031701032971[/C][C]0.990820639180755[/C][/ROW]
[ROW][C]16[/C][C]1.01[/C][C]1.01729266922498[/C][C]1.00416666666667[/C][C]1.01307153781741[/C][C]0.992831296788432[/C][/ROW]
[ROW][C]17[/C][C]1.01[/C][C]1.0418238533897[/C][C]1.01583333333333[/C][C]1.02558541761086[/C][C]0.96945371015824[/C][/ROW]
[ROW][C]18[/C][C]1.02[/C][C]1.07096019036775[/C][C]1.02833333333333[/C][C]1.04145237312909[/C][C]0.952416354196836[/C][/ROW]
[ROW][C]19[/C][C]1.04[/C][C]1.08227535198914[/C][C]1.04041666666667[/C][C]1.04023261705003[/C][C]0.960938450726574[/C][/ROW]
[ROW][C]20[/C][C]1.03[/C][C]1.07874886982864[/C][C]1.05375[/C][C]1.02372371988483[/C][C]0.954809806812235[/C][/ROW]
[ROW][C]21[/C][C]1.05[/C][C]1.07777057431905[/C][C]1.06916666666667[/C][C]1.00804730255874[/C][C]0.974233315530445[/C][/ROW]
[ROW][C]22[/C][C]1.08[/C][C]1.0738348849795[/C][C]1.08666666666667[/C][C]0.988191611944322[/C][C]1.00574121320395[/C][/ROW]
[ROW][C]23[/C][C]1.17[/C][C]1.0984334328118[/C][C]1.1075[/C][C]0.991813483351511[/C][C]1.0651533038329[/C][/ROW]
[ROW][C]24[/C][C]1.11[/C][C]1.09167094189365[/C][C]1.13458333333333[/C][C]0.962177840817025[/C][C]1.01678991113802[/C][/ROW]
[ROW][C]25[/C][C]1.11[/C][C]1.11199609615947[/C][C]1.16291666666667[/C][C]0.956213052949742[/C][C]0.998204943195066[/C][/ROW]
[ROW][C]26[/C][C]1.11[/C][C]1.13782019612042[/C][C]1.18625[/C][C]0.95917403255673[/C][C]0.975549567308369[/C][/ROW]
[ROW][C]27[/C][C]1.2[/C][C]1.19168146909675[/C][C]1.20333333333333[/C][C]0.99031701032971[/C][C]1.00698049866426[/C][/ROW]
[ROW][C]28[/C][C]1.21[/C][C]1.23045980530739[/C][C]1.21458333333333[/C][C]1.01307153781741[/C][C]0.983372227829678[/C][/ROW]
[ROW][C]29[/C][C]1.31[/C][C]1.24480430062518[/C][C]1.21375[/C][C]1.02558541761086[/C][C]1.05237425621206[/C][/ROW]
[ROW][C]30[/C][C]1.37[/C][C]1.25234647868773[/C][C]1.2025[/C][C]1.04145237312909[/C][C]1.09394646235246[/C][/ROW]
[ROW][C]31[/C][C]1.37[/C][C]1.23570966300402[/C][C]1.18791666666667[/C][C]1.04023261705003[/C][C]1.10867466769623[/C][/ROW]
[ROW][C]32[/C][C]1.26[/C][C]1.19988951001501[/C][C]1.17208333333333[/C][C]1.02372371988483[/C][C]1.05009668763938[/C][/ROW]
[ROW][C]33[/C][C]1.23[/C][C]1.16093447678015[/C][C]1.15166666666667[/C][C]1.00804730255874[/C][C]1.05949131893422[/C][/ROW]
[ROW][C]34[/C][C]1.17[/C][C]1.11418604246722[/C][C]1.1275[/C][C]0.988191611944322[/C][C]1.05009392992321[/C][/ROW]
[ROW][C]35[/C][C]1.06[/C][C]1.09099483168666[/C][C]1.1[/C][C]0.991813483351511[/C][C]0.971590303834212[/C][/ROW]
[ROW][C]36[/C][C]0.95[/C][C]1.02712484507217[/C][C]1.0675[/C][C]0.962177840817025[/C][C]0.924911907795634[/C][/ROW]
[ROW][C]37[/C][C]0.92[/C][C]0.988485243486796[/C][C]1.03375[/C][C]0.956213052949742[/C][C]0.930716979400502[/C][/ROW]
[ROW][C]38[/C][C]0.92[/C][C]0.964369558566412[/C][C]1.00541666666667[/C][C]0.95917403255673[/C][C]0.953991124904056[/C][/ROW]
[ROW][C]39[/C][C]0.9[/C][C]0.974224358911853[/C][C]0.98375[/C][C]0.99031701032971[/C][C]0.92381184248487[/C][/ROW]
[ROW][C]40[/C][C]0.93[/C][C]0.977191920853039[/C][C]0.964583333333333[/C][C]1.01307153781741[/C][C]0.951706599444823[/C][/ROW]
[ROW][C]41[/C][C]0.93[/C][C]0.977724764789022[/C][C]0.953333333333333[/C][C]1.02558541761086[/C][C]0.951187934981559[/C][/ROW]
[ROW][C]42[/C][C]0.97[/C][C]0.991983385405459[/C][C]0.9525[/C][C]1.04145237312909[/C][C]0.977838958062313[/C][/ROW]
[ROW][C]43[/C][C]0.96[/C][C]0.997323021596719[/C][C]0.95875[/C][C]1.04023261705003[/C][C]0.962576797297866[/C][/ROW]
[ROW][C]44[/C][C]0.99[/C][C]0.990452698988573[/C][C]0.9675[/C][C]1.02372371988483[/C][C]0.999542937296213[/C][/ROW]
[ROW][C]45[/C][C]0.98[/C][C]0.986626297379364[/C][C]0.97875[/C][C]1.00804730255874[/C][C]0.993283883272761[/C][/ROW]
[ROW][C]46[/C][C]0.96[/C][C]0.982427160874647[/C][C]0.994166666666667[/C][C]0.988191611944322[/C][C]0.977171680743558[/C][/ROW]
[ROW][C]47[/C][C]1[/C][C]1.00338464065728[/C][C]1.01166666666667[/C][C]0.991813483351511[/C][C]0.996626776492152[/C][/ROW]
[ROW][C]48[/C][C]0.99[/C][C]0.989840453740515[/C][C]1.02875[/C][C]0.962177840817025[/C][C]1.0001611838139[/C][/ROW]
[ROW][C]49[/C][C]1.03[/C][C]0.998445796121689[/C][C]1.04416666666667[/C][C]0.956213052949742[/C][C]1.03160332188375[/C][/ROW]
[ROW][C]50[/C][C]1.02[/C][C]1.01512585112254[/C][C]1.05833333333333[/C][C]0.95917403255673[/C][C]1.00480152177395[/C][/ROW]
[ROW][C]51[/C][C]1.07[/C][C]1.06170236149098[/C][C]1.07208333333333[/C][C]0.99031701032971[/C][C]1.00781540929924[/C][/ROW]
[ROW][C]52[/C][C]1.13[/C][C]1.10171529737643[/C][C]1.0875[/C][C]1.01307153781741[/C][C]1.02567333202228[/C][/ROW]
[ROW][C]53[/C][C]1.15[/C][C]1.13113525017331[/C][C]1.10291666666667[/C][C]1.02558541761086[/C][C]1.01667771367199[/C][/ROW]
[ROW][C]54[/C][C]1.16[/C][C]1.16599271941578[/C][C]1.11958333333333[/C][C]1.04145237312909[/C][C]0.994860414378247[/C][/ROW]
[ROW][C]55[/C][C]1.14[/C][C]1.18456489266573[/C][C]1.13875[/C][C]1.04023261705003[/C][C]0.962378681875809[/C][/ROW]
[ROW][C]56[/C][C]1.15[/C][C]1.18709296351645[/C][C]1.15958333333333[/C][C]1.02372371988483[/C][C]0.968753109776194[/C][/ROW]
[ROW][C]57[/C][C]1.15[/C][C]1.19243595498511[/C][C]1.18291666666667[/C][C]1.00804730255874[/C][C]0.964412382226737[/C][/ROW]
[ROW][C]58[/C][C]1.16[/C][C]1.19118263889788[/C][C]1.20541666666667[/C][C]0.988191611944322[/C][C]0.973822117717619[/C][/ROW]
[ROW][C]59[/C][C]1.17[/C][C]1.2149715171056[/C][C]1.225[/C][C]0.991813483351511[/C][C]0.962985537955049[/C][/ROW]
[ROW][C]60[/C][C]1.22[/C][C]1.19590687464883[/C][C]1.24291666666667[/C][C]0.962177840817025[/C][C]1.02014632231147[/C][/ROW]
[ROW][C]61[/C][C]1.26[/C][C]1.20602371303286[/C][C]1.26125[/C][C]0.956213052949742[/C][C]1.04475557684633[/C][/ROW]
[ROW][C]62[/C][C]1.29[/C][C]1.22734310582572[/C][C]1.27958333333333[/C][C]0.95917403255673[/C][C]1.05105083808829[/C][/ROW]
[ROW][C]63[/C][C]1.36[/C][C]1.28534895299044[/C][C]1.29791666666667[/C][C]0.99031701032971[/C][C]1.0580784283022[/C][/ROW]
[ROW][C]64[/C][C]1.38[/C][C]1.33472175107443[/C][C]1.3175[/C][C]1.01307153781741[/C][C]1.03392336184611[/C][/ROW]
[ROW][C]65[/C][C]1.37[/C][C]1.37300247782654[/C][C]1.33875[/C][C]1.02558541761086[/C][C]0.997813202907475[/C][/ROW]
[ROW][C]66[/C][C]1.37[/C][C]1.41463947350035[/C][C]1.35833333333333[/C][C]1.04145237312909[/C][C]0.968444628941469[/C][/ROW]
[ROW][C]67[/C][C]1.37[/C][C]NA[/C][C]NA[/C][C]1.04023261705003[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]1.36[/C][C]NA[/C][C]NA[/C][C]1.02372371988483[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]1.38[/C][C]NA[/C][C]NA[/C][C]1.00804730255874[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]1.4[/C][C]NA[/C][C]NA[/C][C]0.988191611944322[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]1.44[/C][C]NA[/C][C]NA[/C][C]0.991813483351511[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]1.42[/C][C]NA[/C][C]NA[/C][C]0.962177840817025[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208672&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208672&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	1.01	NA	NA	0.956213052949742	NA
2	1.02	NA	NA	0.95917403255673	NA
3	1.04	NA	NA	0.99031701032971	NA
4	1.06	NA	NA	1.01307153781741	NA
5	1.06	NA	NA	1.02558541761086	NA
6	1.06	NA	NA	1.04145237312909	NA
7	1.06	1.0675387232476	1.02625	1.04023261705003	0.992938220334844
8	1.06	1.04505129738243	1.02083333333333	1.02372371988483	1.0143042764073
9	1.02	1.02400805151592	1.01583333333333	1.00804730255874	0.996085917967165
10	0.98	0.999308767578696	1.01125	0.988191611944322	0.980677876342984
11	0.99	0.998838828858585	1.00708333333333	0.991813483351511	0.991150895817011
12	0.99	0.965385100286415	1.00333333333333	0.962177840817025	1.02549749287231
13	0.94	0.957009897160534	1.00083333333333	0.956213052949742	0.982225996605675
14	0.96	0.957975065016034	0.99875	0.95917403255673	1.00211376585666
15	0.98	0.989079114066798	0.99875	0.99031701032971	0.990820639180755
16	1.01	1.01729266922498	1.00416666666667	1.01307153781741	0.992831296788432
17	1.01	1.0418238533897	1.01583333333333	1.02558541761086	0.96945371015824
18	1.02	1.07096019036775	1.02833333333333	1.04145237312909	0.952416354196836
19	1.04	1.08227535198914	1.04041666666667	1.04023261705003	0.960938450726574
20	1.03	1.07874886982864	1.05375	1.02372371988483	0.954809806812235
21	1.05	1.07777057431905	1.06916666666667	1.00804730255874	0.974233315530445
22	1.08	1.0738348849795	1.08666666666667	0.988191611944322	1.00574121320395
23	1.17	1.0984334328118	1.1075	0.991813483351511	1.0651533038329
24	1.11	1.09167094189365	1.13458333333333	0.962177840817025	1.01678991113802
25	1.11	1.11199609615947	1.16291666666667	0.956213052949742	0.998204943195066
26	1.11	1.13782019612042	1.18625	0.95917403255673	0.975549567308369
27	1.2	1.19168146909675	1.20333333333333	0.99031701032971	1.00698049866426
28	1.21	1.23045980530739	1.21458333333333	1.01307153781741	0.983372227829678
29	1.31	1.24480430062518	1.21375	1.02558541761086	1.05237425621206
30	1.37	1.25234647868773	1.2025	1.04145237312909	1.09394646235246
31	1.37	1.23570966300402	1.18791666666667	1.04023261705003	1.10867466769623
32	1.26	1.19988951001501	1.17208333333333	1.02372371988483	1.05009668763938
33	1.23	1.16093447678015	1.15166666666667	1.00804730255874	1.05949131893422
34	1.17	1.11418604246722	1.1275	0.988191611944322	1.05009392992321
35	1.06	1.09099483168666	1.1	0.991813483351511	0.971590303834212
36	0.95	1.02712484507217	1.0675	0.962177840817025	0.924911907795634
37	0.92	0.988485243486796	1.03375	0.956213052949742	0.930716979400502
38	0.92	0.964369558566412	1.00541666666667	0.95917403255673	0.953991124904056
39	0.9	0.974224358911853	0.98375	0.99031701032971	0.92381184248487
40	0.93	0.977191920853039	0.964583333333333	1.01307153781741	0.951706599444823
41	0.93	0.977724764789022	0.953333333333333	1.02558541761086	0.951187934981559
42	0.97	0.991983385405459	0.9525	1.04145237312909	0.977838958062313
43	0.96	0.997323021596719	0.95875	1.04023261705003	0.962576797297866
44	0.99	0.990452698988573	0.9675	1.02372371988483	0.999542937296213
45	0.98	0.986626297379364	0.97875	1.00804730255874	0.993283883272761
46	0.96	0.982427160874647	0.994166666666667	0.988191611944322	0.977171680743558
47	1	1.00338464065728	1.01166666666667	0.991813483351511	0.996626776492152
48	0.99	0.989840453740515	1.02875	0.962177840817025	1.0001611838139
49	1.03	0.998445796121689	1.04416666666667	0.956213052949742	1.03160332188375
50	1.02	1.01512585112254	1.05833333333333	0.95917403255673	1.00480152177395
51	1.07	1.06170236149098	1.07208333333333	0.99031701032971	1.00781540929924
52	1.13	1.10171529737643	1.0875	1.01307153781741	1.02567333202228
53	1.15	1.13113525017331	1.10291666666667	1.02558541761086	1.01667771367199
54	1.16	1.16599271941578	1.11958333333333	1.04145237312909	0.994860414378247
55	1.14	1.18456489266573	1.13875	1.04023261705003	0.962378681875809
56	1.15	1.18709296351645	1.15958333333333	1.02372371988483	0.968753109776194
57	1.15	1.19243595498511	1.18291666666667	1.00804730255874	0.964412382226737
58	1.16	1.19118263889788	1.20541666666667	0.988191611944322	0.973822117717619
59	1.17	1.2149715171056	1.225	0.991813483351511	0.962985537955049
60	1.22	1.19590687464883	1.24291666666667	0.962177840817025	1.02014632231147
61	1.26	1.20602371303286	1.26125	0.956213052949742	1.04475557684633
62	1.29	1.22734310582572	1.27958333333333	0.95917403255673	1.05105083808829
63	1.36	1.28534895299044	1.29791666666667	0.99031701032971	1.0580784283022
64	1.38	1.33472175107443	1.3175	1.01307153781741	1.03392336184611
65	1.37	1.37300247782654	1.33875	1.02558541761086	0.997813202907475
66	1.37	1.41463947350035	1.35833333333333	1.04145237312909	0.968444628941469
67	1.37	NA	NA	1.04023261705003	NA
68	1.36	NA	NA	1.02372371988483	NA
69	1.38	NA	NA	1.00804730255874	NA
70	1.4	NA	NA	0.988191611944322	NA
71	1.44	NA	NA	0.991813483351511	NA
72	1.42	NA	NA	0.962177840817025	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