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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 01 Jun 2010 17:09:04 +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/2010/Jun/01/t1275412442qgg0rey9fim2le7.htm/, Retrieved Sat, 14 Feb 2026 05:22:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76832, Retrieved Sat, 14 Feb 2026 05:22:53 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W52

Estimated Impact

407

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

-       [Classical Decomposition] [Decompositie Gemi...] [2010-06-01 17:09:04] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,46
0,46
0,46
0,45
0,45
0,46
0,46
0,46
0,46
0,46
0,44
0,44
0,43
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,43
0,43
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	12 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 12 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76832&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]12 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76832&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76832&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	12 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	0.47	NA	NA	0.999435206936909	NA
2	0.47	NA	NA	0.99704990791683	NA
3	0.47	NA	NA	0.994995496957232	NA
4	0.47	NA	NA	0.992442453680009	NA
5	0.47	NA	NA	0.999080931115287	NA
6	0.47	NA	NA	1.00118196391945	NA
7	0.47	0.470455212659201	0.46875	1.00363778700629	0.99903239958459
8	0.47	0.470688580812361	0.467916666666667	1.00592394830781	0.998537077718834
9	0.47	0.470495993043849	0.466666666666667	1.00820569937968	0.998945808144635
10	0.47	0.465723189580292	0.465	1.00155524640923	1.00918315968668
11	0.47	0.465525945044297	0.46375	1.00382953109282	1.00961075317784
12	0.46	0.459519704210982	0.462916666666667	0.99266182727845	1.0010452126092
13	0.46	0.461822351872097	0.462083333333333	0.999435206936909	0.996053998112674
14	0.46	0.459889270026638	0.46125	0.99704990791683	1.00024077529218
15	0.45	0.458112510057392	0.460416666666667	0.994995496957232	0.982291446141963
16	0.45	0.455282975625704	0.45875	0.992442453680009	0.988396281195352
17	0.46	0.45583067482135	0.45625	0.999080931115287	1.00914665337142
18	0.46	0.454286316128451	0.45375	1.00118196391945	1.01257727487863
19	0.46	0.453309733797843	0.451666666666667	1.00363778700629	1.01475870845769
20	0.46	0.452665776738513	0.45	1.00592394830781	1.01620229237194
21	0.46	0.45243230759663	0.44875	1.00820569937968	1.01672668435986
22	0.44	0.448613287454135	0.447916666666667	1.00155524640923	0.98080019541326
23	0.44	0.448377190554795	0.446666666666667	1.00382953109282	0.981316644264554
24	0.43	0.44173451313891	0.445	0.99266182727845	0.973435371722426
25	0.44	0.44308294174203	0.443333333333333	0.999435206936909	0.99304206627791
26	0.44	0.440363709329934	0.441666666666667	0.99704990791683	0.999174070609753
27	0.44	0.437798018661182	0.44	0.994995496957232	1.00502967406192
28	0.44	0.435847644241137	0.439166666666667	0.992442453680009	1.00952708088188
29	0.44	0.43876304224813	0.439166666666667	0.999080931115287	1.00281919312422
30	0.44	0.439685745821293	0.439166666666667	1.00118196391945	1.0007147245088
31	0.44	0.440346079049012	0.43875	1.00363778700629	0.99921407487093
32	0.44	0.440091727384665	0.4375	1.00592394830781	0.999791572122452
33	0.44	0.439409650646309	0.435833333333333	1.00820569937968	1.00134350566225
34	0.44	0.434841902816008	0.434166666666667	1.00155524640923	1.01186200582462
35	0.44	0.434156272197647	0.4325	1.00382953109282	1.01345996401888
36	0.43	0.427671803919132	0.430833333333333	0.99266182727845	1.00544388491253
37	0.43	0.428924276310423	0.429166666666667	0.999435206936909	1.00250795711269
38	0.42	0.426238835634445	0.4275	0.99704990791683	0.985363052089895
39	0.42	0.423702249120954	0.425833333333333	0.994995496957232	0.991262144280245
40	0.42	0.420961007435937	0.424166666666667	0.992442453680009	0.997717110566153
41	0.42	0.422111693396209	0.4225	0.999080931115287	0.99499731130588
42	0.42	0.421747902301069	0.42125	1.00118196391945	0.995855575590223
43	0.42	0.421946052953896	0.420416666666667	1.00363778700629	0.995387910515402
44	0.42	0.422488058289279	0.42	1.00592394830781	0.994110938189938
45	0.42	0.423446393739464	0.42	1.00820569937968	0.991861086101056
46	0.42	0.420235888805873	0.419583333333333	1.00155524640923	0.999438675248458
47	0.42	0.42035361614512	0.41875	1.00382953109282	0.999158765069365
48	0.42	0.414849921983452	0.417916666666667	0.99266182727845	1.01241431598185
49	0.42	0.416847767559936	0.417083333333333	0.999435206936909	1.00756207106138
50	0.42	0.415022024170381	0.41625	0.99704990791683	1.01199448593016
51	0.42	0.413337712694317	0.415416666666667	0.994995496957232	1.01611826625317
52	0.41	0.41145010058817	0.414583333333333	0.992442453680009	0.996475634381673
53	0.41	0.41336973524895	0.41375	0.999080931115287	0.991848132648317
54	0.41	0.413404719268407	0.412916666666667	1.00118196391945	0.9917641983516
55	0.41	0.413582404728844	0.412083333333333	1.00363778700629	0.991338111370592
56	0.41	0.413686223741585	0.41125	1.00592394830781	0.991089324396047
57	0.41	0.413784422453742	0.410416666666667	1.00820569937968	0.99085412053141
58	0.41	0.410637651027785	0.41	1.00155524640923	0.998447168626187
59	0.41	0.411570107748058	0.41	1.00382953109282	0.996185078268563
60	0.41	0.406991349184165	0.41	0.99266182727845	1.00739241957321
61	0.41	0.409768434844133	0.41	0.999435206936909	1.00056511223456
62	0.41	0.408790462245901	0.41	0.99704990791683	1.00295882087721
63	0.41	0.407948153752465	0.41	0.994995496957232	1.00502967406192
64	0.41	0.406901406008804	0.41	0.992442453680009	1.00761509777415
65	0.41	0.409623181757268	0.41	0.999080931115287	1.00091991434937
66	0.41	0.410484605206975	0.41	1.00118196391945	0.998819431469955
67	0.41	NA	NA	1.00363778700629	NA
68	0.41	NA	NA	1.00592394830781	NA
69	0.41	NA	NA	1.00820569937968	NA
70	0.41	NA	NA	1.00155524640923	NA
71	0.41	NA	NA	1.00382953109282	NA
72	0.41	NA	NA	0.99266182727845	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 0.47 & NA & NA & 0.999435206936909 & NA \tabularnewline
2 & 0.47 & NA & NA & 0.99704990791683 & NA \tabularnewline
3 & 0.47 & NA & NA & 0.994995496957232 & NA \tabularnewline
4 & 0.47 & NA & NA & 0.992442453680009 & NA \tabularnewline
5 & 0.47 & NA & NA & 0.999080931115287 & NA \tabularnewline
6 & 0.47 & NA & NA & 1.00118196391945 & NA \tabularnewline
7 & 0.47 & 0.470455212659201 & 0.46875 & 1.00363778700629 & 0.99903239958459 \tabularnewline
8 & 0.47 & 0.470688580812361 & 0.467916666666667 & 1.00592394830781 & 0.998537077718834 \tabularnewline
9 & 0.47 & 0.470495993043849 & 0.466666666666667 & 1.00820569937968 & 0.998945808144635 \tabularnewline
10 & 0.47 & 0.465723189580292 & 0.465 & 1.00155524640923 & 1.00918315968668 \tabularnewline
11 & 0.47 & 0.465525945044297 & 0.46375 & 1.00382953109282 & 1.00961075317784 \tabularnewline
12 & 0.46 & 0.459519704210982 & 0.462916666666667 & 0.99266182727845 & 1.0010452126092 \tabularnewline
13 & 0.46 & 0.461822351872097 & 0.462083333333333 & 0.999435206936909 & 0.996053998112674 \tabularnewline
14 & 0.46 & 0.459889270026638 & 0.46125 & 0.99704990791683 & 1.00024077529218 \tabularnewline
15 & 0.45 & 0.458112510057392 & 0.460416666666667 & 0.994995496957232 & 0.982291446141963 \tabularnewline
16 & 0.45 & 0.455282975625704 & 0.45875 & 0.992442453680009 & 0.988396281195352 \tabularnewline
17 & 0.46 & 0.45583067482135 & 0.45625 & 0.999080931115287 & 1.00914665337142 \tabularnewline
18 & 0.46 & 0.454286316128451 & 0.45375 & 1.00118196391945 & 1.01257727487863 \tabularnewline
19 & 0.46 & 0.453309733797843 & 0.451666666666667 & 1.00363778700629 & 1.01475870845769 \tabularnewline
20 & 0.46 & 0.452665776738513 & 0.45 & 1.00592394830781 & 1.01620229237194 \tabularnewline
21 & 0.46 & 0.45243230759663 & 0.44875 & 1.00820569937968 & 1.01672668435986 \tabularnewline
22 & 0.44 & 0.448613287454135 & 0.447916666666667 & 1.00155524640923 & 0.98080019541326 \tabularnewline
23 & 0.44 & 0.448377190554795 & 0.446666666666667 & 1.00382953109282 & 0.981316644264554 \tabularnewline
24 & 0.43 & 0.44173451313891 & 0.445 & 0.99266182727845 & 0.973435371722426 \tabularnewline
25 & 0.44 & 0.44308294174203 & 0.443333333333333 & 0.999435206936909 & 0.99304206627791 \tabularnewline
26 & 0.44 & 0.440363709329934 & 0.441666666666667 & 0.99704990791683 & 0.999174070609753 \tabularnewline
27 & 0.44 & 0.437798018661182 & 0.44 & 0.994995496957232 & 1.00502967406192 \tabularnewline
28 & 0.44 & 0.435847644241137 & 0.439166666666667 & 0.992442453680009 & 1.00952708088188 \tabularnewline
29 & 0.44 & 0.43876304224813 & 0.439166666666667 & 0.999080931115287 & 1.00281919312422 \tabularnewline
30 & 0.44 & 0.439685745821293 & 0.439166666666667 & 1.00118196391945 & 1.0007147245088 \tabularnewline
31 & 0.44 & 0.440346079049012 & 0.43875 & 1.00363778700629 & 0.99921407487093 \tabularnewline
32 & 0.44 & 0.440091727384665 & 0.4375 & 1.00592394830781 & 0.999791572122452 \tabularnewline
33 & 0.44 & 0.439409650646309 & 0.435833333333333 & 1.00820569937968 & 1.00134350566225 \tabularnewline
34 & 0.44 & 0.434841902816008 & 0.434166666666667 & 1.00155524640923 & 1.01186200582462 \tabularnewline
35 & 0.44 & 0.434156272197647 & 0.4325 & 1.00382953109282 & 1.01345996401888 \tabularnewline
36 & 0.43 & 0.427671803919132 & 0.430833333333333 & 0.99266182727845 & 1.00544388491253 \tabularnewline
37 & 0.43 & 0.428924276310423 & 0.429166666666667 & 0.999435206936909 & 1.00250795711269 \tabularnewline
38 & 0.42 & 0.426238835634445 & 0.4275 & 0.99704990791683 & 0.985363052089895 \tabularnewline
39 & 0.42 & 0.423702249120954 & 0.425833333333333 & 0.994995496957232 & 0.991262144280245 \tabularnewline
40 & 0.42 & 0.420961007435937 & 0.424166666666667 & 0.992442453680009 & 0.997717110566153 \tabularnewline
41 & 0.42 & 0.422111693396209 & 0.4225 & 0.999080931115287 & 0.99499731130588 \tabularnewline
42 & 0.42 & 0.421747902301069 & 0.42125 & 1.00118196391945 & 0.995855575590223 \tabularnewline
43 & 0.42 & 0.421946052953896 & 0.420416666666667 & 1.00363778700629 & 0.995387910515402 \tabularnewline
44 & 0.42 & 0.422488058289279 & 0.42 & 1.00592394830781 & 0.994110938189938 \tabularnewline
45 & 0.42 & 0.423446393739464 & 0.42 & 1.00820569937968 & 0.991861086101056 \tabularnewline
46 & 0.42 & 0.420235888805873 & 0.419583333333333 & 1.00155524640923 & 0.999438675248458 \tabularnewline
47 & 0.42 & 0.42035361614512 & 0.41875 & 1.00382953109282 & 0.999158765069365 \tabularnewline
48 & 0.42 & 0.414849921983452 & 0.417916666666667 & 0.99266182727845 & 1.01241431598185 \tabularnewline
49 & 0.42 & 0.416847767559936 & 0.417083333333333 & 0.999435206936909 & 1.00756207106138 \tabularnewline
50 & 0.42 & 0.415022024170381 & 0.41625 & 0.99704990791683 & 1.01199448593016 \tabularnewline
51 & 0.42 & 0.413337712694317 & 0.415416666666667 & 0.994995496957232 & 1.01611826625317 \tabularnewline
52 & 0.41 & 0.41145010058817 & 0.414583333333333 & 0.992442453680009 & 0.996475634381673 \tabularnewline
53 & 0.41 & 0.41336973524895 & 0.41375 & 0.999080931115287 & 0.991848132648317 \tabularnewline
54 & 0.41 & 0.413404719268407 & 0.412916666666667 & 1.00118196391945 & 0.9917641983516 \tabularnewline
55 & 0.41 & 0.413582404728844 & 0.412083333333333 & 1.00363778700629 & 0.991338111370592 \tabularnewline
56 & 0.41 & 0.413686223741585 & 0.41125 & 1.00592394830781 & 0.991089324396047 \tabularnewline
57 & 0.41 & 0.413784422453742 & 0.410416666666667 & 1.00820569937968 & 0.99085412053141 \tabularnewline
58 & 0.41 & 0.410637651027785 & 0.41 & 1.00155524640923 & 0.998447168626187 \tabularnewline
59 & 0.41 & 0.411570107748058 & 0.41 & 1.00382953109282 & 0.996185078268563 \tabularnewline
60 & 0.41 & 0.406991349184165 & 0.41 & 0.99266182727845 & 1.00739241957321 \tabularnewline
61 & 0.41 & 0.409768434844133 & 0.41 & 0.999435206936909 & 1.00056511223456 \tabularnewline
62 & 0.41 & 0.408790462245901 & 0.41 & 0.99704990791683 & 1.00295882087721 \tabularnewline
63 & 0.41 & 0.407948153752465 & 0.41 & 0.994995496957232 & 1.00502967406192 \tabularnewline
64 & 0.41 & 0.406901406008804 & 0.41 & 0.992442453680009 & 1.00761509777415 \tabularnewline
65 & 0.41 & 0.409623181757268 & 0.41 & 0.999080931115287 & 1.00091991434937 \tabularnewline
66 & 0.41 & 0.410484605206975 & 0.41 & 1.00118196391945 & 0.998819431469955 \tabularnewline
67 & 0.41 & NA & NA & 1.00363778700629 & NA \tabularnewline
68 & 0.41 & NA & NA & 1.00592394830781 & NA \tabularnewline
69 & 0.41 & NA & NA & 1.00820569937968 & NA \tabularnewline
70 & 0.41 & NA & NA & 1.00155524640923 & NA \tabularnewline
71 & 0.41 & NA & NA & 1.00382953109282 & NA \tabularnewline
72 & 0.41 & NA & NA & 0.99266182727845 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76832&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]0.47[/C][C]NA[/C][C]NA[/C][C]0.999435206936909[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]0.47[/C][C]NA[/C][C]NA[/C][C]0.99704990791683[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]0.47[/C][C]NA[/C][C]NA[/C][C]0.994995496957232[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]0.47[/C][C]NA[/C][C]NA[/C][C]0.992442453680009[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]0.47[/C][C]NA[/C][C]NA[/C][C]0.999080931115287[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]0.47[/C][C]NA[/C][C]NA[/C][C]1.00118196391945[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]0.47[/C][C]0.470455212659201[/C][C]0.46875[/C][C]1.00363778700629[/C][C]0.99903239958459[/C][/ROW]
[ROW][C]8[/C][C]0.47[/C][C]0.470688580812361[/C][C]0.467916666666667[/C][C]1.00592394830781[/C][C]0.998537077718834[/C][/ROW]
[ROW][C]9[/C][C]0.47[/C][C]0.470495993043849[/C][C]0.466666666666667[/C][C]1.00820569937968[/C][C]0.998945808144635[/C][/ROW]
[ROW][C]10[/C][C]0.47[/C][C]0.465723189580292[/C][C]0.465[/C][C]1.00155524640923[/C][C]1.00918315968668[/C][/ROW]
[ROW][C]11[/C][C]0.47[/C][C]0.465525945044297[/C][C]0.46375[/C][C]1.00382953109282[/C][C]1.00961075317784[/C][/ROW]
[ROW][C]12[/C][C]0.46[/C][C]0.459519704210982[/C][C]0.462916666666667[/C][C]0.99266182727845[/C][C]1.0010452126092[/C][/ROW]
[ROW][C]13[/C][C]0.46[/C][C]0.461822351872097[/C][C]0.462083333333333[/C][C]0.999435206936909[/C][C]0.996053998112674[/C][/ROW]
[ROW][C]14[/C][C]0.46[/C][C]0.459889270026638[/C][C]0.46125[/C][C]0.99704990791683[/C][C]1.00024077529218[/C][/ROW]
[ROW][C]15[/C][C]0.45[/C][C]0.458112510057392[/C][C]0.460416666666667[/C][C]0.994995496957232[/C][C]0.982291446141963[/C][/ROW]
[ROW][C]16[/C][C]0.45[/C][C]0.455282975625704[/C][C]0.45875[/C][C]0.992442453680009[/C][C]0.988396281195352[/C][/ROW]
[ROW][C]17[/C][C]0.46[/C][C]0.45583067482135[/C][C]0.45625[/C][C]0.999080931115287[/C][C]1.00914665337142[/C][/ROW]
[ROW][C]18[/C][C]0.46[/C][C]0.454286316128451[/C][C]0.45375[/C][C]1.00118196391945[/C][C]1.01257727487863[/C][/ROW]
[ROW][C]19[/C][C]0.46[/C][C]0.453309733797843[/C][C]0.451666666666667[/C][C]1.00363778700629[/C][C]1.01475870845769[/C][/ROW]
[ROW][C]20[/C][C]0.46[/C][C]0.452665776738513[/C][C]0.45[/C][C]1.00592394830781[/C][C]1.01620229237194[/C][/ROW]
[ROW][C]21[/C][C]0.46[/C][C]0.45243230759663[/C][C]0.44875[/C][C]1.00820569937968[/C][C]1.01672668435986[/C][/ROW]
[ROW][C]22[/C][C]0.44[/C][C]0.448613287454135[/C][C]0.447916666666667[/C][C]1.00155524640923[/C][C]0.98080019541326[/C][/ROW]
[ROW][C]23[/C][C]0.44[/C][C]0.448377190554795[/C][C]0.446666666666667[/C][C]1.00382953109282[/C][C]0.981316644264554[/C][/ROW]
[ROW][C]24[/C][C]0.43[/C][C]0.44173451313891[/C][C]0.445[/C][C]0.99266182727845[/C][C]0.973435371722426[/C][/ROW]
[ROW][C]25[/C][C]0.44[/C][C]0.44308294174203[/C][C]0.443333333333333[/C][C]0.999435206936909[/C][C]0.99304206627791[/C][/ROW]
[ROW][C]26[/C][C]0.44[/C][C]0.440363709329934[/C][C]0.441666666666667[/C][C]0.99704990791683[/C][C]0.999174070609753[/C][/ROW]
[ROW][C]27[/C][C]0.44[/C][C]0.437798018661182[/C][C]0.44[/C][C]0.994995496957232[/C][C]1.00502967406192[/C][/ROW]
[ROW][C]28[/C][C]0.44[/C][C]0.435847644241137[/C][C]0.439166666666667[/C][C]0.992442453680009[/C][C]1.00952708088188[/C][/ROW]
[ROW][C]29[/C][C]0.44[/C][C]0.43876304224813[/C][C]0.439166666666667[/C][C]0.999080931115287[/C][C]1.00281919312422[/C][/ROW]
[ROW][C]30[/C][C]0.44[/C][C]0.439685745821293[/C][C]0.439166666666667[/C][C]1.00118196391945[/C][C]1.0007147245088[/C][/ROW]
[ROW][C]31[/C][C]0.44[/C][C]0.440346079049012[/C][C]0.43875[/C][C]1.00363778700629[/C][C]0.99921407487093[/C][/ROW]
[ROW][C]32[/C][C]0.44[/C][C]0.440091727384665[/C][C]0.4375[/C][C]1.00592394830781[/C][C]0.999791572122452[/C][/ROW]
[ROW][C]33[/C][C]0.44[/C][C]0.439409650646309[/C][C]0.435833333333333[/C][C]1.00820569937968[/C][C]1.00134350566225[/C][/ROW]
[ROW][C]34[/C][C]0.44[/C][C]0.434841902816008[/C][C]0.434166666666667[/C][C]1.00155524640923[/C][C]1.01186200582462[/C][/ROW]
[ROW][C]35[/C][C]0.44[/C][C]0.434156272197647[/C][C]0.4325[/C][C]1.00382953109282[/C][C]1.01345996401888[/C][/ROW]
[ROW][C]36[/C][C]0.43[/C][C]0.427671803919132[/C][C]0.430833333333333[/C][C]0.99266182727845[/C][C]1.00544388491253[/C][/ROW]
[ROW][C]37[/C][C]0.43[/C][C]0.428924276310423[/C][C]0.429166666666667[/C][C]0.999435206936909[/C][C]1.00250795711269[/C][/ROW]
[ROW][C]38[/C][C]0.42[/C][C]0.426238835634445[/C][C]0.4275[/C][C]0.99704990791683[/C][C]0.985363052089895[/C][/ROW]
[ROW][C]39[/C][C]0.42[/C][C]0.423702249120954[/C][C]0.425833333333333[/C][C]0.994995496957232[/C][C]0.991262144280245[/C][/ROW]
[ROW][C]40[/C][C]0.42[/C][C]0.420961007435937[/C][C]0.424166666666667[/C][C]0.992442453680009[/C][C]0.997717110566153[/C][/ROW]
[ROW][C]41[/C][C]0.42[/C][C]0.422111693396209[/C][C]0.4225[/C][C]0.999080931115287[/C][C]0.99499731130588[/C][/ROW]
[ROW][C]42[/C][C]0.42[/C][C]0.421747902301069[/C][C]0.42125[/C][C]1.00118196391945[/C][C]0.995855575590223[/C][/ROW]
[ROW][C]43[/C][C]0.42[/C][C]0.421946052953896[/C][C]0.420416666666667[/C][C]1.00363778700629[/C][C]0.995387910515402[/C][/ROW]
[ROW][C]44[/C][C]0.42[/C][C]0.422488058289279[/C][C]0.42[/C][C]1.00592394830781[/C][C]0.994110938189938[/C][/ROW]
[ROW][C]45[/C][C]0.42[/C][C]0.423446393739464[/C][C]0.42[/C][C]1.00820569937968[/C][C]0.991861086101056[/C][/ROW]
[ROW][C]46[/C][C]0.42[/C][C]0.420235888805873[/C][C]0.419583333333333[/C][C]1.00155524640923[/C][C]0.999438675248458[/C][/ROW]
[ROW][C]47[/C][C]0.42[/C][C]0.42035361614512[/C][C]0.41875[/C][C]1.00382953109282[/C][C]0.999158765069365[/C][/ROW]
[ROW][C]48[/C][C]0.42[/C][C]0.414849921983452[/C][C]0.417916666666667[/C][C]0.99266182727845[/C][C]1.01241431598185[/C][/ROW]
[ROW][C]49[/C][C]0.42[/C][C]0.416847767559936[/C][C]0.417083333333333[/C][C]0.999435206936909[/C][C]1.00756207106138[/C][/ROW]
[ROW][C]50[/C][C]0.42[/C][C]0.415022024170381[/C][C]0.41625[/C][C]0.99704990791683[/C][C]1.01199448593016[/C][/ROW]
[ROW][C]51[/C][C]0.42[/C][C]0.413337712694317[/C][C]0.415416666666667[/C][C]0.994995496957232[/C][C]1.01611826625317[/C][/ROW]
[ROW][C]52[/C][C]0.41[/C][C]0.41145010058817[/C][C]0.414583333333333[/C][C]0.992442453680009[/C][C]0.996475634381673[/C][/ROW]
[ROW][C]53[/C][C]0.41[/C][C]0.41336973524895[/C][C]0.41375[/C][C]0.999080931115287[/C][C]0.991848132648317[/C][/ROW]
[ROW][C]54[/C][C]0.41[/C][C]0.413404719268407[/C][C]0.412916666666667[/C][C]1.00118196391945[/C][C]0.9917641983516[/C][/ROW]
[ROW][C]55[/C][C]0.41[/C][C]0.413582404728844[/C][C]0.412083333333333[/C][C]1.00363778700629[/C][C]0.991338111370592[/C][/ROW]
[ROW][C]56[/C][C]0.41[/C][C]0.413686223741585[/C][C]0.41125[/C][C]1.00592394830781[/C][C]0.991089324396047[/C][/ROW]
[ROW][C]57[/C][C]0.41[/C][C]0.413784422453742[/C][C]0.410416666666667[/C][C]1.00820569937968[/C][C]0.99085412053141[/C][/ROW]
[ROW][C]58[/C][C]0.41[/C][C]0.410637651027785[/C][C]0.41[/C][C]1.00155524640923[/C][C]0.998447168626187[/C][/ROW]
[ROW][C]59[/C][C]0.41[/C][C]0.411570107748058[/C][C]0.41[/C][C]1.00382953109282[/C][C]0.996185078268563[/C][/ROW]
[ROW][C]60[/C][C]0.41[/C][C]0.406991349184165[/C][C]0.41[/C][C]0.99266182727845[/C][C]1.00739241957321[/C][/ROW]
[ROW][C]61[/C][C]0.41[/C][C]0.409768434844133[/C][C]0.41[/C][C]0.999435206936909[/C][C]1.00056511223456[/C][/ROW]
[ROW][C]62[/C][C]0.41[/C][C]0.408790462245901[/C][C]0.41[/C][C]0.99704990791683[/C][C]1.00295882087721[/C][/ROW]
[ROW][C]63[/C][C]0.41[/C][C]0.407948153752465[/C][C]0.41[/C][C]0.994995496957232[/C][C]1.00502967406192[/C][/ROW]
[ROW][C]64[/C][C]0.41[/C][C]0.406901406008804[/C][C]0.41[/C][C]0.992442453680009[/C][C]1.00761509777415[/C][/ROW]
[ROW][C]65[/C][C]0.41[/C][C]0.409623181757268[/C][C]0.41[/C][C]0.999080931115287[/C][C]1.00091991434937[/C][/ROW]
[ROW][C]66[/C][C]0.41[/C][C]0.410484605206975[/C][C]0.41[/C][C]1.00118196391945[/C][C]0.998819431469955[/C][/ROW]
[ROW][C]67[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]1.00363778700629[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]1.00592394830781[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]1.00820569937968[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]1.00155524640923[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]1.00382953109282[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]0.41[/C][C]NA[/C][C]NA[/C][C]0.99266182727845[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76832&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76832&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	0.47	NA	NA	0.999435206936909	NA
2	0.47	NA	NA	0.99704990791683	NA
3	0.47	NA	NA	0.994995496957232	NA
4	0.47	NA	NA	0.992442453680009	NA
5	0.47	NA	NA	0.999080931115287	NA
6	0.47	NA	NA	1.00118196391945	NA
7	0.47	0.470455212659201	0.46875	1.00363778700629	0.99903239958459
8	0.47	0.470688580812361	0.467916666666667	1.00592394830781	0.998537077718834
9	0.47	0.470495993043849	0.466666666666667	1.00820569937968	0.998945808144635
10	0.47	0.465723189580292	0.465	1.00155524640923	1.00918315968668
11	0.47	0.465525945044297	0.46375	1.00382953109282	1.00961075317784
12	0.46	0.459519704210982	0.462916666666667	0.99266182727845	1.0010452126092
13	0.46	0.461822351872097	0.462083333333333	0.999435206936909	0.996053998112674
14	0.46	0.459889270026638	0.46125	0.99704990791683	1.00024077529218
15	0.45	0.458112510057392	0.460416666666667	0.994995496957232	0.982291446141963
16	0.45	0.455282975625704	0.45875	0.992442453680009	0.988396281195352
17	0.46	0.45583067482135	0.45625	0.999080931115287	1.00914665337142
18	0.46	0.454286316128451	0.45375	1.00118196391945	1.01257727487863
19	0.46	0.453309733797843	0.451666666666667	1.00363778700629	1.01475870845769
20	0.46	0.452665776738513	0.45	1.00592394830781	1.01620229237194
21	0.46	0.45243230759663	0.44875	1.00820569937968	1.01672668435986
22	0.44	0.448613287454135	0.447916666666667	1.00155524640923	0.98080019541326
23	0.44	0.448377190554795	0.446666666666667	1.00382953109282	0.981316644264554
24	0.43	0.44173451313891	0.445	0.99266182727845	0.973435371722426
25	0.44	0.44308294174203	0.443333333333333	0.999435206936909	0.99304206627791
26	0.44	0.440363709329934	0.441666666666667	0.99704990791683	0.999174070609753
27	0.44	0.437798018661182	0.44	0.994995496957232	1.00502967406192
28	0.44	0.435847644241137	0.439166666666667	0.992442453680009	1.00952708088188
29	0.44	0.43876304224813	0.439166666666667	0.999080931115287	1.00281919312422
30	0.44	0.439685745821293	0.439166666666667	1.00118196391945	1.0007147245088
31	0.44	0.440346079049012	0.43875	1.00363778700629	0.99921407487093
32	0.44	0.440091727384665	0.4375	1.00592394830781	0.999791572122452
33	0.44	0.439409650646309	0.435833333333333	1.00820569937968	1.00134350566225
34	0.44	0.434841902816008	0.434166666666667	1.00155524640923	1.01186200582462
35	0.44	0.434156272197647	0.4325	1.00382953109282	1.01345996401888
36	0.43	0.427671803919132	0.430833333333333	0.99266182727845	1.00544388491253
37	0.43	0.428924276310423	0.429166666666667	0.999435206936909	1.00250795711269
38	0.42	0.426238835634445	0.4275	0.99704990791683	0.985363052089895
39	0.42	0.423702249120954	0.425833333333333	0.994995496957232	0.991262144280245
40	0.42	0.420961007435937	0.424166666666667	0.992442453680009	0.997717110566153
41	0.42	0.422111693396209	0.4225	0.999080931115287	0.99499731130588
42	0.42	0.421747902301069	0.42125	1.00118196391945	0.995855575590223
43	0.42	0.421946052953896	0.420416666666667	1.00363778700629	0.995387910515402
44	0.42	0.422488058289279	0.42	1.00592394830781	0.994110938189938
45	0.42	0.423446393739464	0.42	1.00820569937968	0.991861086101056
46	0.42	0.420235888805873	0.419583333333333	1.00155524640923	0.999438675248458
47	0.42	0.42035361614512	0.41875	1.00382953109282	0.999158765069365
48	0.42	0.414849921983452	0.417916666666667	0.99266182727845	1.01241431598185
49	0.42	0.416847767559936	0.417083333333333	0.999435206936909	1.00756207106138
50	0.42	0.415022024170381	0.41625	0.99704990791683	1.01199448593016
51	0.42	0.413337712694317	0.415416666666667	0.994995496957232	1.01611826625317
52	0.41	0.41145010058817	0.414583333333333	0.992442453680009	0.996475634381673
53	0.41	0.41336973524895	0.41375	0.999080931115287	0.991848132648317
54	0.41	0.413404719268407	0.412916666666667	1.00118196391945	0.9917641983516
55	0.41	0.413582404728844	0.412083333333333	1.00363778700629	0.991338111370592
56	0.41	0.413686223741585	0.41125	1.00592394830781	0.991089324396047
57	0.41	0.413784422453742	0.410416666666667	1.00820569937968	0.99085412053141
58	0.41	0.410637651027785	0.41	1.00155524640923	0.998447168626187
59	0.41	0.411570107748058	0.41	1.00382953109282	0.996185078268563
60	0.41	0.406991349184165	0.41	0.99266182727845	1.00739241957321
61	0.41	0.409768434844133	0.41	0.999435206936909	1.00056511223456
62	0.41	0.408790462245901	0.41	0.99704990791683	1.00295882087721
63	0.41	0.407948153752465	0.41	0.994995496957232	1.00502967406192
64	0.41	0.406901406008804	0.41	0.992442453680009	1.00761509777415
65	0.41	0.409623181757268	0.41	0.999080931115287	1.00091991434937
66	0.41	0.410484605206975	0.41	1.00118196391945	0.998819431469955
67	0.41	NA	NA	1.00363778700629	NA
68	0.41	NA	NA	1.00592394830781	NA
69	0.41	NA	NA	1.00820569937968	NA
70	0.41	NA	NA	1.00155524640923	NA
71	0.41	NA	NA	1.00382953109282	NA
72	0.41	NA	NA	0.99266182727845	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