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

Sun, 30 Nov 2014 15:26:51 +0000

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/2014/Nov/30/t1417361251j8ynwhyggqt3xso.htm/, Retrieved Fri, 13 Feb 2026 20:41:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261507, Retrieved Fri, 13 Feb 2026 20:41:23 +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

315

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

-       [Classical Decomposition] [Correcte decompos...] [2014-11-30 15:26:51] [5cb566f42d00ad61092156d0d2251413] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

1,8
1,8
1,81
1,81
1,81
1,81
1,81
1,81
1,82
1,82
1,81
1,8
1,8
1,81
1,81
1,81
1,81
1,81
1,81
1,82
1,82
1,82
1,83
1,83
1,83
1,84
1,85
1,86
1,86
1,87
1,87
1,86
1,88
1,89
1,91
1,91
1,91
1,91
1,92
1,93
1,93
1,94
1,94
1,95
1,95
1,96
1,97
1,97
1,97
1,97
1,98
1,98
1,99
1,99
1,99
2
2
2,01
2,01
2,02
2,01
2,01
2,03
2,03
2,04
2,05
2,05
2,06
2,06
2,06
2,04
2,04
2,04
2,03
2,03
2,03
2,03
2,03
2,03
2,03
2,03
2,03
2,02
2,03
2,03
2,02
2,03
2,04
2,05
2,05
2,05
2,05
2,07
2,07
2,08
2,08

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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261507&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261507&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261507&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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	1.8	NA	NA	0.997821	NA
2	1.8	NA	NA	0.996507	NA
3	1.81	NA	NA	0.999357	NA
4	1.81	NA	NA	1.00004	NA
5	1.81	NA	NA	1.00056	NA
6	1.81	NA	NA	1.00108	NA
7	1.81	1.80859	1.80917	0.999681	1.00078
8	1.81	1.81041	1.80958	1.00046	0.999771
9	1.82	1.81254	1.81	1.0014	1.00412
10	1.82	1.81399	1.81	1.00221	1.00331
11	1.81	1.81159	1.81	1.00088	0.999123
12	1.8	1.81002	1.81	1.00001	0.994462
13	1.8	1.80606	1.81	0.997821	0.996647
14	1.81	1.80409	1.81042	0.996507	1.00327
15	1.81	1.80967	1.81083	0.999357	1.00018
16	1.81	1.8109	1.81083	1.00004	0.9995
17	1.81	1.81269	1.81167	1.00056	0.998519
18	1.81	1.8157	1.81375	1.00108	0.996861
19	1.81	1.81567	1.81625	0.999681	0.996877
20	1.82	1.81958	1.81875	1.00046	1.00023
21	1.82	1.82422	1.82167	1.0014	0.997687
22	1.82	1.82944	1.82542	1.00221	0.994838
23	1.83	1.83119	1.82958	1.00088	0.999351
24	1.83	1.83419	1.83417	1.00001	0.997715
25	1.83	1.83516	1.83917	0.997821	0.997188
26	1.84	1.83689	1.84333	0.996507	1.00169
27	1.85	1.84631	1.8475	0.999357	1.002
28	1.86	1.85299	1.85292	1.00004	1.00378
29	1.86	1.86021	1.85917	1.00056	0.999886
30	1.87	1.86784	1.86583	1.00108	1.00116
31	1.87	1.8719	1.8725	0.999681	0.998984
32	1.86	1.87961	1.87875	1.00046	0.989566
33	1.88	1.88722	1.88458	1.0014	0.996172
34	1.89	1.89459	1.89042	1.00221	0.997579
35	1.91	1.89791	1.89625	1.00088	1.00637
36	1.91	1.90211	1.90208	1.00001	1.00415
37	1.91	1.90376	1.90792	0.997821	1.00328
38	1.91	1.9079	1.91458	0.996507	1.0011
39	1.92	1.92002	1.92125	0.999357	0.999992
40	1.93	1.92716	1.92708	1.00004	1.00147
41	1.93	1.93359	1.9325	1.00056	0.998145
42	1.94	1.93958	1.9375	1.00108	1.00022
43	1.94	1.94188	1.9425	0.999681	0.999032
44	1.95	1.94839	1.9475	1.00046	1.00082
45	1.95	1.95524	1.9525	1.0014	0.997322
46	1.96	1.9614	1.95708	1.00221	0.999286
47	1.97	1.96339	1.96167	1.00088	1.00337
48	1.97	1.96628	1.96625	1.00001	1.00189
49	1.97	1.96612	1.97042	0.997821	1.00197
50	1.97	1.96769	1.97458	0.996507	1.00118
51	1.98	1.97748	1.97875	0.999357	1.00128
52	1.98	1.98299	1.98292	1.00004	0.99849
53	1.99	1.98778	1.98667	1.00056	1.00111
54	1.99	1.99256	1.99042	1.00108	0.998717
55	1.99	1.99353	1.99417	0.999681	0.998229
56	2	1.99842	1.9975	1.00046	1.00079
57	2	2.00405	2.00125	1.0014	0.997977
58	2.01	2.00984	2.00542	1.00221	1.00008
59	2.01	2.01135	2.00958	1.00088	0.999331
60	2.02	2.01419	2.01417	1.00001	1.00288
61	2.01	2.01477	2.01917	0.997821	0.997634
62	2.01	2.0171	2.02417	0.996507	0.996482
63	2.03	2.02786	2.02917	0.999357	1.00105
64	2.03	2.03383	2.03375	1.00004	0.998117
65	2.04	2.03823	2.03708	1.00056	1.00087
66	2.05	2.04136	2.03917	1.00108	1.00423
67	2.05	2.0406	2.04125	0.999681	1.00461
68	2.06	2.04427	2.04333	1.00046	1.00769
69	2.06	2.04703	2.04417	1.0014	1.00634
70	2.06	2.04868	2.04417	1.00221	1.00553
71	2.04	2.04554	2.04375	1.00088	0.99729
72	2.04	2.04253	2.0425	1.00001	0.998763
73	2.04	2.03639	2.04083	0.997821	1.00177
74	2.03	2.03163	2.03875	0.996507	0.999198
75	2.03	2.03494	2.03625	0.999357	0.997572
76	2.03	2.03383	2.03375	1.00004	0.998117
77	2.03	2.03281	2.03167	1.00056	0.998618
78	2.03	2.0326	2.03042	1.00108	0.998721
79	2.03	2.02894	2.02958	0.999681	1.00052
80	2.03	2.02968	2.02875	1.00046	1.00016
81	2.03	2.03118	2.02833	1.0014	0.999421
82	2.03	2.03323	2.02875	1.00221	0.998413
83	2.02	2.03178	2.03	1.00088	0.994202
84	2.03	2.03169	2.03167	1.00001	0.999167
85	2.03	2.0289	2.03333	0.997821	1.00054
86	2.02	2.02789	2.035	0.996507	0.996108
87	2.03	2.03619	2.0375	0.999357	0.99696
88	2.04	2.04091	2.04083	1.00004	0.999552
89	2.05	2.04615	2.045	1.00056	1.00188
90	2.05	2.05179	2.04958	1.00108	0.999129
91	2.05	NA	NA	0.999681	NA
92	2.05	NA	NA	1.00046	NA
93	2.07	NA	NA	1.0014	NA
94	2.07	NA	NA	1.00221	NA
95	2.08	NA	NA	1.00088	NA
96	2.08	NA	NA	1.00001	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.8 & NA & NA & 0.997821 & NA \tabularnewline
2 & 1.8 & NA & NA & 0.996507 & NA \tabularnewline
3 & 1.81 & NA & NA & 0.999357 & NA \tabularnewline
4 & 1.81 & NA & NA & 1.00004 & NA \tabularnewline
5 & 1.81 & NA & NA & 1.00056 & NA \tabularnewline
6 & 1.81 & NA & NA & 1.00108 & NA \tabularnewline
7 & 1.81 & 1.80859 & 1.80917 & 0.999681 & 1.00078 \tabularnewline
8 & 1.81 & 1.81041 & 1.80958 & 1.00046 & 0.999771 \tabularnewline
9 & 1.82 & 1.81254 & 1.81 & 1.0014 & 1.00412 \tabularnewline
10 & 1.82 & 1.81399 & 1.81 & 1.00221 & 1.00331 \tabularnewline
11 & 1.81 & 1.81159 & 1.81 & 1.00088 & 0.999123 \tabularnewline
12 & 1.8 & 1.81002 & 1.81 & 1.00001 & 0.994462 \tabularnewline
13 & 1.8 & 1.80606 & 1.81 & 0.997821 & 0.996647 \tabularnewline
14 & 1.81 & 1.80409 & 1.81042 & 0.996507 & 1.00327 \tabularnewline
15 & 1.81 & 1.80967 & 1.81083 & 0.999357 & 1.00018 \tabularnewline
16 & 1.81 & 1.8109 & 1.81083 & 1.00004 & 0.9995 \tabularnewline
17 & 1.81 & 1.81269 & 1.81167 & 1.00056 & 0.998519 \tabularnewline
18 & 1.81 & 1.8157 & 1.81375 & 1.00108 & 0.996861 \tabularnewline
19 & 1.81 & 1.81567 & 1.81625 & 0.999681 & 0.996877 \tabularnewline
20 & 1.82 & 1.81958 & 1.81875 & 1.00046 & 1.00023 \tabularnewline
21 & 1.82 & 1.82422 & 1.82167 & 1.0014 & 0.997687 \tabularnewline
22 & 1.82 & 1.82944 & 1.82542 & 1.00221 & 0.994838 \tabularnewline
23 & 1.83 & 1.83119 & 1.82958 & 1.00088 & 0.999351 \tabularnewline
24 & 1.83 & 1.83419 & 1.83417 & 1.00001 & 0.997715 \tabularnewline
25 & 1.83 & 1.83516 & 1.83917 & 0.997821 & 0.997188 \tabularnewline
26 & 1.84 & 1.83689 & 1.84333 & 0.996507 & 1.00169 \tabularnewline
27 & 1.85 & 1.84631 & 1.8475 & 0.999357 & 1.002 \tabularnewline
28 & 1.86 & 1.85299 & 1.85292 & 1.00004 & 1.00378 \tabularnewline
29 & 1.86 & 1.86021 & 1.85917 & 1.00056 & 0.999886 \tabularnewline
30 & 1.87 & 1.86784 & 1.86583 & 1.00108 & 1.00116 \tabularnewline
31 & 1.87 & 1.8719 & 1.8725 & 0.999681 & 0.998984 \tabularnewline
32 & 1.86 & 1.87961 & 1.87875 & 1.00046 & 0.989566 \tabularnewline
33 & 1.88 & 1.88722 & 1.88458 & 1.0014 & 0.996172 \tabularnewline
34 & 1.89 & 1.89459 & 1.89042 & 1.00221 & 0.997579 \tabularnewline
35 & 1.91 & 1.89791 & 1.89625 & 1.00088 & 1.00637 \tabularnewline
36 & 1.91 & 1.90211 & 1.90208 & 1.00001 & 1.00415 \tabularnewline
37 & 1.91 & 1.90376 & 1.90792 & 0.997821 & 1.00328 \tabularnewline
38 & 1.91 & 1.9079 & 1.91458 & 0.996507 & 1.0011 \tabularnewline
39 & 1.92 & 1.92002 & 1.92125 & 0.999357 & 0.999992 \tabularnewline
40 & 1.93 & 1.92716 & 1.92708 & 1.00004 & 1.00147 \tabularnewline
41 & 1.93 & 1.93359 & 1.9325 & 1.00056 & 0.998145 \tabularnewline
42 & 1.94 & 1.93958 & 1.9375 & 1.00108 & 1.00022 \tabularnewline
43 & 1.94 & 1.94188 & 1.9425 & 0.999681 & 0.999032 \tabularnewline
44 & 1.95 & 1.94839 & 1.9475 & 1.00046 & 1.00082 \tabularnewline
45 & 1.95 & 1.95524 & 1.9525 & 1.0014 & 0.997322 \tabularnewline
46 & 1.96 & 1.9614 & 1.95708 & 1.00221 & 0.999286 \tabularnewline
47 & 1.97 & 1.96339 & 1.96167 & 1.00088 & 1.00337 \tabularnewline
48 & 1.97 & 1.96628 & 1.96625 & 1.00001 & 1.00189 \tabularnewline
49 & 1.97 & 1.96612 & 1.97042 & 0.997821 & 1.00197 \tabularnewline
50 & 1.97 & 1.96769 & 1.97458 & 0.996507 & 1.00118 \tabularnewline
51 & 1.98 & 1.97748 & 1.97875 & 0.999357 & 1.00128 \tabularnewline
52 & 1.98 & 1.98299 & 1.98292 & 1.00004 & 0.99849 \tabularnewline
53 & 1.99 & 1.98778 & 1.98667 & 1.00056 & 1.00111 \tabularnewline
54 & 1.99 & 1.99256 & 1.99042 & 1.00108 & 0.998717 \tabularnewline
55 & 1.99 & 1.99353 & 1.99417 & 0.999681 & 0.998229 \tabularnewline
56 & 2 & 1.99842 & 1.9975 & 1.00046 & 1.00079 \tabularnewline
57 & 2 & 2.00405 & 2.00125 & 1.0014 & 0.997977 \tabularnewline
58 & 2.01 & 2.00984 & 2.00542 & 1.00221 & 1.00008 \tabularnewline
59 & 2.01 & 2.01135 & 2.00958 & 1.00088 & 0.999331 \tabularnewline
60 & 2.02 & 2.01419 & 2.01417 & 1.00001 & 1.00288 \tabularnewline
61 & 2.01 & 2.01477 & 2.01917 & 0.997821 & 0.997634 \tabularnewline
62 & 2.01 & 2.0171 & 2.02417 & 0.996507 & 0.996482 \tabularnewline
63 & 2.03 & 2.02786 & 2.02917 & 0.999357 & 1.00105 \tabularnewline
64 & 2.03 & 2.03383 & 2.03375 & 1.00004 & 0.998117 \tabularnewline
65 & 2.04 & 2.03823 & 2.03708 & 1.00056 & 1.00087 \tabularnewline
66 & 2.05 & 2.04136 & 2.03917 & 1.00108 & 1.00423 \tabularnewline
67 & 2.05 & 2.0406 & 2.04125 & 0.999681 & 1.00461 \tabularnewline
68 & 2.06 & 2.04427 & 2.04333 & 1.00046 & 1.00769 \tabularnewline
69 & 2.06 & 2.04703 & 2.04417 & 1.0014 & 1.00634 \tabularnewline
70 & 2.06 & 2.04868 & 2.04417 & 1.00221 & 1.00553 \tabularnewline
71 & 2.04 & 2.04554 & 2.04375 & 1.00088 & 0.99729 \tabularnewline
72 & 2.04 & 2.04253 & 2.0425 & 1.00001 & 0.998763 \tabularnewline
73 & 2.04 & 2.03639 & 2.04083 & 0.997821 & 1.00177 \tabularnewline
74 & 2.03 & 2.03163 & 2.03875 & 0.996507 & 0.999198 \tabularnewline
75 & 2.03 & 2.03494 & 2.03625 & 0.999357 & 0.997572 \tabularnewline
76 & 2.03 & 2.03383 & 2.03375 & 1.00004 & 0.998117 \tabularnewline
77 & 2.03 & 2.03281 & 2.03167 & 1.00056 & 0.998618 \tabularnewline
78 & 2.03 & 2.0326 & 2.03042 & 1.00108 & 0.998721 \tabularnewline
79 & 2.03 & 2.02894 & 2.02958 & 0.999681 & 1.00052 \tabularnewline
80 & 2.03 & 2.02968 & 2.02875 & 1.00046 & 1.00016 \tabularnewline
81 & 2.03 & 2.03118 & 2.02833 & 1.0014 & 0.999421 \tabularnewline
82 & 2.03 & 2.03323 & 2.02875 & 1.00221 & 0.998413 \tabularnewline
83 & 2.02 & 2.03178 & 2.03 & 1.00088 & 0.994202 \tabularnewline
84 & 2.03 & 2.03169 & 2.03167 & 1.00001 & 0.999167 \tabularnewline
85 & 2.03 & 2.0289 & 2.03333 & 0.997821 & 1.00054 \tabularnewline
86 & 2.02 & 2.02789 & 2.035 & 0.996507 & 0.996108 \tabularnewline
87 & 2.03 & 2.03619 & 2.0375 & 0.999357 & 0.99696 \tabularnewline
88 & 2.04 & 2.04091 & 2.04083 & 1.00004 & 0.999552 \tabularnewline
89 & 2.05 & 2.04615 & 2.045 & 1.00056 & 1.00188 \tabularnewline
90 & 2.05 & 2.05179 & 2.04958 & 1.00108 & 0.999129 \tabularnewline
91 & 2.05 & NA & NA & 0.999681 & NA \tabularnewline
92 & 2.05 & NA & NA & 1.00046 & NA \tabularnewline
93 & 2.07 & NA & NA & 1.0014 & NA \tabularnewline
94 & 2.07 & NA & NA & 1.00221 & NA \tabularnewline
95 & 2.08 & NA & NA & 1.00088 & NA \tabularnewline
96 & 2.08 & NA & NA & 1.00001 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261507&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]1.8[/C][C]NA[/C][C]NA[/C][C]0.997821[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1.8[/C][C]NA[/C][C]NA[/C][C]0.996507[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1.81[/C][C]NA[/C][C]NA[/C][C]0.999357[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1.81[/C][C]NA[/C][C]NA[/C][C]1.00004[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1.81[/C][C]NA[/C][C]NA[/C][C]1.00056[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.81[/C][C]NA[/C][C]NA[/C][C]1.00108[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1.81[/C][C]1.80859[/C][C]1.80917[/C][C]0.999681[/C][C]1.00078[/C][/ROW]
[ROW][C]8[/C][C]1.81[/C][C]1.81041[/C][C]1.80958[/C][C]1.00046[/C][C]0.999771[/C][/ROW]
[ROW][C]9[/C][C]1.82[/C][C]1.81254[/C][C]1.81[/C][C]1.0014[/C][C]1.00412[/C][/ROW]
[ROW][C]10[/C][C]1.82[/C][C]1.81399[/C][C]1.81[/C][C]1.00221[/C][C]1.00331[/C][/ROW]
[ROW][C]11[/C][C]1.81[/C][C]1.81159[/C][C]1.81[/C][C]1.00088[/C][C]0.999123[/C][/ROW]
[ROW][C]12[/C][C]1.8[/C][C]1.81002[/C][C]1.81[/C][C]1.00001[/C][C]0.994462[/C][/ROW]
[ROW][C]13[/C][C]1.8[/C][C]1.80606[/C][C]1.81[/C][C]0.997821[/C][C]0.996647[/C][/ROW]
[ROW][C]14[/C][C]1.81[/C][C]1.80409[/C][C]1.81042[/C][C]0.996507[/C][C]1.00327[/C][/ROW]
[ROW][C]15[/C][C]1.81[/C][C]1.80967[/C][C]1.81083[/C][C]0.999357[/C][C]1.00018[/C][/ROW]
[ROW][C]16[/C][C]1.81[/C][C]1.8109[/C][C]1.81083[/C][C]1.00004[/C][C]0.9995[/C][/ROW]
[ROW][C]17[/C][C]1.81[/C][C]1.81269[/C][C]1.81167[/C][C]1.00056[/C][C]0.998519[/C][/ROW]
[ROW][C]18[/C][C]1.81[/C][C]1.8157[/C][C]1.81375[/C][C]1.00108[/C][C]0.996861[/C][/ROW]
[ROW][C]19[/C][C]1.81[/C][C]1.81567[/C][C]1.81625[/C][C]0.999681[/C][C]0.996877[/C][/ROW]
[ROW][C]20[/C][C]1.82[/C][C]1.81958[/C][C]1.81875[/C][C]1.00046[/C][C]1.00023[/C][/ROW]
[ROW][C]21[/C][C]1.82[/C][C]1.82422[/C][C]1.82167[/C][C]1.0014[/C][C]0.997687[/C][/ROW]
[ROW][C]22[/C][C]1.82[/C][C]1.82944[/C][C]1.82542[/C][C]1.00221[/C][C]0.994838[/C][/ROW]
[ROW][C]23[/C][C]1.83[/C][C]1.83119[/C][C]1.82958[/C][C]1.00088[/C][C]0.999351[/C][/ROW]
[ROW][C]24[/C][C]1.83[/C][C]1.83419[/C][C]1.83417[/C][C]1.00001[/C][C]0.997715[/C][/ROW]
[ROW][C]25[/C][C]1.83[/C][C]1.83516[/C][C]1.83917[/C][C]0.997821[/C][C]0.997188[/C][/ROW]
[ROW][C]26[/C][C]1.84[/C][C]1.83689[/C][C]1.84333[/C][C]0.996507[/C][C]1.00169[/C][/ROW]
[ROW][C]27[/C][C]1.85[/C][C]1.84631[/C][C]1.8475[/C][C]0.999357[/C][C]1.002[/C][/ROW]
[ROW][C]28[/C][C]1.86[/C][C]1.85299[/C][C]1.85292[/C][C]1.00004[/C][C]1.00378[/C][/ROW]
[ROW][C]29[/C][C]1.86[/C][C]1.86021[/C][C]1.85917[/C][C]1.00056[/C][C]0.999886[/C][/ROW]
[ROW][C]30[/C][C]1.87[/C][C]1.86784[/C][C]1.86583[/C][C]1.00108[/C][C]1.00116[/C][/ROW]
[ROW][C]31[/C][C]1.87[/C][C]1.8719[/C][C]1.8725[/C][C]0.999681[/C][C]0.998984[/C][/ROW]
[ROW][C]32[/C][C]1.86[/C][C]1.87961[/C][C]1.87875[/C][C]1.00046[/C][C]0.989566[/C][/ROW]
[ROW][C]33[/C][C]1.88[/C][C]1.88722[/C][C]1.88458[/C][C]1.0014[/C][C]0.996172[/C][/ROW]
[ROW][C]34[/C][C]1.89[/C][C]1.89459[/C][C]1.89042[/C][C]1.00221[/C][C]0.997579[/C][/ROW]
[ROW][C]35[/C][C]1.91[/C][C]1.89791[/C][C]1.89625[/C][C]1.00088[/C][C]1.00637[/C][/ROW]
[ROW][C]36[/C][C]1.91[/C][C]1.90211[/C][C]1.90208[/C][C]1.00001[/C][C]1.00415[/C][/ROW]
[ROW][C]37[/C][C]1.91[/C][C]1.90376[/C][C]1.90792[/C][C]0.997821[/C][C]1.00328[/C][/ROW]
[ROW][C]38[/C][C]1.91[/C][C]1.9079[/C][C]1.91458[/C][C]0.996507[/C][C]1.0011[/C][/ROW]
[ROW][C]39[/C][C]1.92[/C][C]1.92002[/C][C]1.92125[/C][C]0.999357[/C][C]0.999992[/C][/ROW]
[ROW][C]40[/C][C]1.93[/C][C]1.92716[/C][C]1.92708[/C][C]1.00004[/C][C]1.00147[/C][/ROW]
[ROW][C]41[/C][C]1.93[/C][C]1.93359[/C][C]1.9325[/C][C]1.00056[/C][C]0.998145[/C][/ROW]
[ROW][C]42[/C][C]1.94[/C][C]1.93958[/C][C]1.9375[/C][C]1.00108[/C][C]1.00022[/C][/ROW]
[ROW][C]43[/C][C]1.94[/C][C]1.94188[/C][C]1.9425[/C][C]0.999681[/C][C]0.999032[/C][/ROW]
[ROW][C]44[/C][C]1.95[/C][C]1.94839[/C][C]1.9475[/C][C]1.00046[/C][C]1.00082[/C][/ROW]
[ROW][C]45[/C][C]1.95[/C][C]1.95524[/C][C]1.9525[/C][C]1.0014[/C][C]0.997322[/C][/ROW]
[ROW][C]46[/C][C]1.96[/C][C]1.9614[/C][C]1.95708[/C][C]1.00221[/C][C]0.999286[/C][/ROW]
[ROW][C]47[/C][C]1.97[/C][C]1.96339[/C][C]1.96167[/C][C]1.00088[/C][C]1.00337[/C][/ROW]
[ROW][C]48[/C][C]1.97[/C][C]1.96628[/C][C]1.96625[/C][C]1.00001[/C][C]1.00189[/C][/ROW]
[ROW][C]49[/C][C]1.97[/C][C]1.96612[/C][C]1.97042[/C][C]0.997821[/C][C]1.00197[/C][/ROW]
[ROW][C]50[/C][C]1.97[/C][C]1.96769[/C][C]1.97458[/C][C]0.996507[/C][C]1.00118[/C][/ROW]
[ROW][C]51[/C][C]1.98[/C][C]1.97748[/C][C]1.97875[/C][C]0.999357[/C][C]1.00128[/C][/ROW]
[ROW][C]52[/C][C]1.98[/C][C]1.98299[/C][C]1.98292[/C][C]1.00004[/C][C]0.99849[/C][/ROW]
[ROW][C]53[/C][C]1.99[/C][C]1.98778[/C][C]1.98667[/C][C]1.00056[/C][C]1.00111[/C][/ROW]
[ROW][C]54[/C][C]1.99[/C][C]1.99256[/C][C]1.99042[/C][C]1.00108[/C][C]0.998717[/C][/ROW]
[ROW][C]55[/C][C]1.99[/C][C]1.99353[/C][C]1.99417[/C][C]0.999681[/C][C]0.998229[/C][/ROW]
[ROW][C]56[/C][C]2[/C][C]1.99842[/C][C]1.9975[/C][C]1.00046[/C][C]1.00079[/C][/ROW]
[ROW][C]57[/C][C]2[/C][C]2.00405[/C][C]2.00125[/C][C]1.0014[/C][C]0.997977[/C][/ROW]
[ROW][C]58[/C][C]2.01[/C][C]2.00984[/C][C]2.00542[/C][C]1.00221[/C][C]1.00008[/C][/ROW]
[ROW][C]59[/C][C]2.01[/C][C]2.01135[/C][C]2.00958[/C][C]1.00088[/C][C]0.999331[/C][/ROW]
[ROW][C]60[/C][C]2.02[/C][C]2.01419[/C][C]2.01417[/C][C]1.00001[/C][C]1.00288[/C][/ROW]
[ROW][C]61[/C][C]2.01[/C][C]2.01477[/C][C]2.01917[/C][C]0.997821[/C][C]0.997634[/C][/ROW]
[ROW][C]62[/C][C]2.01[/C][C]2.0171[/C][C]2.02417[/C][C]0.996507[/C][C]0.996482[/C][/ROW]
[ROW][C]63[/C][C]2.03[/C][C]2.02786[/C][C]2.02917[/C][C]0.999357[/C][C]1.00105[/C][/ROW]
[ROW][C]64[/C][C]2.03[/C][C]2.03383[/C][C]2.03375[/C][C]1.00004[/C][C]0.998117[/C][/ROW]
[ROW][C]65[/C][C]2.04[/C][C]2.03823[/C][C]2.03708[/C][C]1.00056[/C][C]1.00087[/C][/ROW]
[ROW][C]66[/C][C]2.05[/C][C]2.04136[/C][C]2.03917[/C][C]1.00108[/C][C]1.00423[/C][/ROW]
[ROW][C]67[/C][C]2.05[/C][C]2.0406[/C][C]2.04125[/C][C]0.999681[/C][C]1.00461[/C][/ROW]
[ROW][C]68[/C][C]2.06[/C][C]2.04427[/C][C]2.04333[/C][C]1.00046[/C][C]1.00769[/C][/ROW]
[ROW][C]69[/C][C]2.06[/C][C]2.04703[/C][C]2.04417[/C][C]1.0014[/C][C]1.00634[/C][/ROW]
[ROW][C]70[/C][C]2.06[/C][C]2.04868[/C][C]2.04417[/C][C]1.00221[/C][C]1.00553[/C][/ROW]
[ROW][C]71[/C][C]2.04[/C][C]2.04554[/C][C]2.04375[/C][C]1.00088[/C][C]0.99729[/C][/ROW]
[ROW][C]72[/C][C]2.04[/C][C]2.04253[/C][C]2.0425[/C][C]1.00001[/C][C]0.998763[/C][/ROW]
[ROW][C]73[/C][C]2.04[/C][C]2.03639[/C][C]2.04083[/C][C]0.997821[/C][C]1.00177[/C][/ROW]
[ROW][C]74[/C][C]2.03[/C][C]2.03163[/C][C]2.03875[/C][C]0.996507[/C][C]0.999198[/C][/ROW]
[ROW][C]75[/C][C]2.03[/C][C]2.03494[/C][C]2.03625[/C][C]0.999357[/C][C]0.997572[/C][/ROW]
[ROW][C]76[/C][C]2.03[/C][C]2.03383[/C][C]2.03375[/C][C]1.00004[/C][C]0.998117[/C][/ROW]
[ROW][C]77[/C][C]2.03[/C][C]2.03281[/C][C]2.03167[/C][C]1.00056[/C][C]0.998618[/C][/ROW]
[ROW][C]78[/C][C]2.03[/C][C]2.0326[/C][C]2.03042[/C][C]1.00108[/C][C]0.998721[/C][/ROW]
[ROW][C]79[/C][C]2.03[/C][C]2.02894[/C][C]2.02958[/C][C]0.999681[/C][C]1.00052[/C][/ROW]
[ROW][C]80[/C][C]2.03[/C][C]2.02968[/C][C]2.02875[/C][C]1.00046[/C][C]1.00016[/C][/ROW]
[ROW][C]81[/C][C]2.03[/C][C]2.03118[/C][C]2.02833[/C][C]1.0014[/C][C]0.999421[/C][/ROW]
[ROW][C]82[/C][C]2.03[/C][C]2.03323[/C][C]2.02875[/C][C]1.00221[/C][C]0.998413[/C][/ROW]
[ROW][C]83[/C][C]2.02[/C][C]2.03178[/C][C]2.03[/C][C]1.00088[/C][C]0.994202[/C][/ROW]
[ROW][C]84[/C][C]2.03[/C][C]2.03169[/C][C]2.03167[/C][C]1.00001[/C][C]0.999167[/C][/ROW]
[ROW][C]85[/C][C]2.03[/C][C]2.0289[/C][C]2.03333[/C][C]0.997821[/C][C]1.00054[/C][/ROW]
[ROW][C]86[/C][C]2.02[/C][C]2.02789[/C][C]2.035[/C][C]0.996507[/C][C]0.996108[/C][/ROW]
[ROW][C]87[/C][C]2.03[/C][C]2.03619[/C][C]2.0375[/C][C]0.999357[/C][C]0.99696[/C][/ROW]
[ROW][C]88[/C][C]2.04[/C][C]2.04091[/C][C]2.04083[/C][C]1.00004[/C][C]0.999552[/C][/ROW]
[ROW][C]89[/C][C]2.05[/C][C]2.04615[/C][C]2.045[/C][C]1.00056[/C][C]1.00188[/C][/ROW]
[ROW][C]90[/C][C]2.05[/C][C]2.05179[/C][C]2.04958[/C][C]1.00108[/C][C]0.999129[/C][/ROW]
[ROW][C]91[/C][C]2.05[/C][C]NA[/C][C]NA[/C][C]0.999681[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]2.05[/C][C]NA[/C][C]NA[/C][C]1.00046[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]2.07[/C][C]NA[/C][C]NA[/C][C]1.0014[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]2.07[/C][C]NA[/C][C]NA[/C][C]1.00221[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]2.08[/C][C]NA[/C][C]NA[/C][C]1.00088[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]2.08[/C][C]NA[/C][C]NA[/C][C]1.00001[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261507&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261507&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	1.8	NA	NA	0.997821	NA
2	1.8	NA	NA	0.996507	NA
3	1.81	NA	NA	0.999357	NA
4	1.81	NA	NA	1.00004	NA
5	1.81	NA	NA	1.00056	NA
6	1.81	NA	NA	1.00108	NA
7	1.81	1.80859	1.80917	0.999681	1.00078
8	1.81	1.81041	1.80958	1.00046	0.999771
9	1.82	1.81254	1.81	1.0014	1.00412
10	1.82	1.81399	1.81	1.00221	1.00331
11	1.81	1.81159	1.81	1.00088	0.999123
12	1.8	1.81002	1.81	1.00001	0.994462
13	1.8	1.80606	1.81	0.997821	0.996647
14	1.81	1.80409	1.81042	0.996507	1.00327
15	1.81	1.80967	1.81083	0.999357	1.00018
16	1.81	1.8109	1.81083	1.00004	0.9995
17	1.81	1.81269	1.81167	1.00056	0.998519
18	1.81	1.8157	1.81375	1.00108	0.996861
19	1.81	1.81567	1.81625	0.999681	0.996877
20	1.82	1.81958	1.81875	1.00046	1.00023
21	1.82	1.82422	1.82167	1.0014	0.997687
22	1.82	1.82944	1.82542	1.00221	0.994838
23	1.83	1.83119	1.82958	1.00088	0.999351
24	1.83	1.83419	1.83417	1.00001	0.997715
25	1.83	1.83516	1.83917	0.997821	0.997188
26	1.84	1.83689	1.84333	0.996507	1.00169
27	1.85	1.84631	1.8475	0.999357	1.002
28	1.86	1.85299	1.85292	1.00004	1.00378
29	1.86	1.86021	1.85917	1.00056	0.999886
30	1.87	1.86784	1.86583	1.00108	1.00116
31	1.87	1.8719	1.8725	0.999681	0.998984
32	1.86	1.87961	1.87875	1.00046	0.989566
33	1.88	1.88722	1.88458	1.0014	0.996172
34	1.89	1.89459	1.89042	1.00221	0.997579
35	1.91	1.89791	1.89625	1.00088	1.00637
36	1.91	1.90211	1.90208	1.00001	1.00415
37	1.91	1.90376	1.90792	0.997821	1.00328
38	1.91	1.9079	1.91458	0.996507	1.0011
39	1.92	1.92002	1.92125	0.999357	0.999992
40	1.93	1.92716	1.92708	1.00004	1.00147
41	1.93	1.93359	1.9325	1.00056	0.998145
42	1.94	1.93958	1.9375	1.00108	1.00022
43	1.94	1.94188	1.9425	0.999681	0.999032
44	1.95	1.94839	1.9475	1.00046	1.00082
45	1.95	1.95524	1.9525	1.0014	0.997322
46	1.96	1.9614	1.95708	1.00221	0.999286
47	1.97	1.96339	1.96167	1.00088	1.00337
48	1.97	1.96628	1.96625	1.00001	1.00189
49	1.97	1.96612	1.97042	0.997821	1.00197
50	1.97	1.96769	1.97458	0.996507	1.00118
51	1.98	1.97748	1.97875	0.999357	1.00128
52	1.98	1.98299	1.98292	1.00004	0.99849
53	1.99	1.98778	1.98667	1.00056	1.00111
54	1.99	1.99256	1.99042	1.00108	0.998717
55	1.99	1.99353	1.99417	0.999681	0.998229
56	2	1.99842	1.9975	1.00046	1.00079
57	2	2.00405	2.00125	1.0014	0.997977
58	2.01	2.00984	2.00542	1.00221	1.00008
59	2.01	2.01135	2.00958	1.00088	0.999331
60	2.02	2.01419	2.01417	1.00001	1.00288
61	2.01	2.01477	2.01917	0.997821	0.997634
62	2.01	2.0171	2.02417	0.996507	0.996482
63	2.03	2.02786	2.02917	0.999357	1.00105
64	2.03	2.03383	2.03375	1.00004	0.998117
65	2.04	2.03823	2.03708	1.00056	1.00087
66	2.05	2.04136	2.03917	1.00108	1.00423
67	2.05	2.0406	2.04125	0.999681	1.00461
68	2.06	2.04427	2.04333	1.00046	1.00769
69	2.06	2.04703	2.04417	1.0014	1.00634
70	2.06	2.04868	2.04417	1.00221	1.00553
71	2.04	2.04554	2.04375	1.00088	0.99729
72	2.04	2.04253	2.0425	1.00001	0.998763
73	2.04	2.03639	2.04083	0.997821	1.00177
74	2.03	2.03163	2.03875	0.996507	0.999198
75	2.03	2.03494	2.03625	0.999357	0.997572
76	2.03	2.03383	2.03375	1.00004	0.998117
77	2.03	2.03281	2.03167	1.00056	0.998618
78	2.03	2.0326	2.03042	1.00108	0.998721
79	2.03	2.02894	2.02958	0.999681	1.00052
80	2.03	2.02968	2.02875	1.00046	1.00016
81	2.03	2.03118	2.02833	1.0014	0.999421
82	2.03	2.03323	2.02875	1.00221	0.998413
83	2.02	2.03178	2.03	1.00088	0.994202
84	2.03	2.03169	2.03167	1.00001	0.999167
85	2.03	2.0289	2.03333	0.997821	1.00054
86	2.02	2.02789	2.035	0.996507	0.996108
87	2.03	2.03619	2.0375	0.999357	0.99696
88	2.04	2.04091	2.04083	1.00004	0.999552
89	2.05	2.04615	2.045	1.00056	1.00188
90	2.05	2.05179	2.04958	1.00108	0.999129
91	2.05	NA	NA	0.999681	NA
92	2.05	NA	NA	1.00046	NA
93	2.07	NA	NA	1.0014	NA
94	2.07	NA	NA	1.00221	NA
95	2.08	NA	NA	1.00088	NA
96	2.08	NA	NA	1.00001	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