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Classical Decomposition

Date of computation

Sun, 09 Dec 2012 06:01:53 -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/2012/Dec/09/t1355050955v561kkzoduyrdpv.htm/, Retrieved Tue, 10 Feb 2026 11:34:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197800, Retrieved Tue, 10 Feb 2026 11:34:25 +0000

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Estimated Impact

356

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

-     [Multiple Regression] [HPC Retail Sales] [2008-03-08 13:40:54] [1c0f2c85e8a48e42648374b3bcceca26]
- RMPD  [Classical Decomposition] [Workshop 8] [2012-11-23 13:02:53] [498ff5d3288f0a3191251bab12f09e42]
- R  D    [Classical Decomposition] [Workshop 8] [2012-11-23 13:46:18] [74be16979710d4c4e7c6647856088456]
-   P       [Classical Decomposition] [Multiplicatief model] [2012-11-23 14:43:36] [74be16979710d4c4e7c6647856088456]
-  M            [Classical Decomposition] [Paper - klassieke...] [2012-12-09 11:01:53] [88970af05b38e2e8b1d3faaed6004b57] [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	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=197800&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=197800&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197800&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	15579	NA	NA	1.01817252762577	NA
2	16348	NA	NA	1.04342138187056	NA
3	15928	NA	NA	1.02033226444408	NA
4	16171	NA	NA	0.984073887013832	NA
5	15937	NA	NA	1.00425740007019	NA
6	15713	NA	NA	1.0007460869195	NA
7	15594	16030.2785879962	16480.9583333333	0.972654518249366	0.972784091954403
8	15683	16303.9195339427	16798.25	0.97057250213223	0.961915934837016
9	16438	16971.8637218297	17130.75	0.990725083363525	0.968544189926352
10	17032	17151.4421400178	17405.4583333333	0.985405946315757	0.993036029329619
11	17696	17697.2417548214	17610.3333333333	1.0049350810029	0.999929833426099
12	17745	17910.092575839	17826.25	1.0047033209923	0.990782148381426
13	19394	18415.8562025886	18087.1666666667	1.01817252762577	1.05311421780509
14	20148	19132.5222651058	18336.3333333333	1.04342138187056	1.05307599911937
15	20108	18897.956494368	18521.375	1.02033226444408	1.06403038899961
16	18584	18417.3528262501	18715.4166666667	0.984073887013832	1.00904837819648
17	18441	18967.1166067172	18886.7083333333	1.00425740007019	0.9722616453715
18	18391	19042.7386127012	19028.5416666667	1.0007460869195	0.965774953594829
19	19178	18643.5986421743	19167.75	0.972654518249366	1.02866406685117
20	18079	18801.162141408	19371.2083333333	0.97057250213223	0.961589494522919
21	18483	19450.6166001934	19632.7083333333	0.990725083363525	0.950252651621141
22	19644	19594.9614768132	19885.1666666667	0.985405946315757	1.00250260880813
23	19195	20264.5577807186	20165.0416666667	1.0049350810029	0.947220275305676
24	19650	20547.6062439973	20451.4166666667	1.0047033209923	0.956315775505017
25	20830	21060.2623761093	20684.375	1.01817252762577	0.989066500122502
26	23595	21825.6798034956	20917.4166666667	1.04342138187056	1.08106598339361
27	22937	21638.483928976	21207.2916666667	1.02033226444408	1.0600095679201
28	21814	21140.3672777746	21482.5	0.984073887013832	1.0318647596503
29	21928	21915.44895709	21822.5416666667	1.00425740007019	1.00057270297928
30	21777	22274.6481004078	22258.0416666667	1.0007460869195	0.977658542655107
31	21383	22042.5398561967	22662.25	0.972654518249366	0.97007877220595
32	21467	22258.9480018169	22933.8333333333	0.97057250213223	0.964421139680446
33	22052	22953.9856158141	23168.875	0.990725083363525	0.960704618757247
34	22680	23208.814609183	23552.5416666667	0.985405946315757	0.977214923808572
35	24320	24275.0024552309	24155.7916666667	1.0049350810029	1.00185365768148
36	24977	25082.6277217647	24965.2083333333	1.0047033209923	0.995788809572252
37	25204	26243.4393234095	25775.0416666667	1.01817252762577	0.960392412343517
38	25739	27657.0575755337	26506.125	1.04342138187056	0.930648530838996
39	26434	27810.7288796644	27256.5416666667	1.02033226444408	0.950496483367213
40	27525	27545.663205269	27991.4583333333	0.984073887013832	0.999249856316217
41	30695	28792.8128530623	28670.75	1.00425740007019	1.06606465150331
42	32436	29392.412945869	29370.5	1.0007460869195	1.10355009164223
43	30160	29235.8063459099	30057.75	0.972654518249366	1.03161170392071
44	30236	29743.800935656	30645.625	0.97057250213223	1.0165479544934
45	31293	30888.4964074135	31177.6666666667	0.990725083363525	1.01309560644361
46	31077	31197.2953230593	31659.3333333333	0.985405946315757	0.996144046404869
47	32226	32173.4153412583	32015.4166666667	1.0049350810029	1.00163441332491
48	33865	32373.8015848442	32222.25	1.0047033209923	1.04606188776588
49	32810	33096.8434545692	32506.125	1.01817252762577	0.991333208105995
50	32242	34542.377895043	33104.9166666667	1.04342138187056	0.933404182478905
51	32700	34609.9254930093	33920.25	1.02033226444408	0.94481567163746
52	32819	34133.2178172541	34685.625	0.984073887013832	0.9614973945823
53	33947	35547.1970615843	35396.5	1.00425740007019	0.954983875133332
54	34148	36062.9693837382	36036.0833333333	1.0007460869195	0.946899287095264
55	35261	35645.4375120868	36647.5833333333	0.972654518249366	0.989214958802049
56	39506	36314.698096654	37415.75	0.97057250213223	1.08787907020051
57	41591	37818.3706842706	38172.4166666667	0.990725083363525	1.09975652698593
58	39148	38250.7900282064	38817.2916666667	0.985405946315757	1.0234559853831
59	41216	39565.5084356404	39371.2083333333	1.0049350810029	1.04171541399612
60	40225	40088.4997603603	39900.8333333333	1.0047033209923	1.00340497250971
61	41126	41189.9574858239	40454.7916666667	1.01817252762577	0.998447255357184
62	42362	42610.8945857026	40837.6666666667	1.04342138187056	0.9941588979034
63	40740	41870.4398314159	41036.0833333333	1.02033226444408	0.973001481809901
64	40256	40634.173927182	41291.7916666667	0.984073887013832	0.99069320498899
65	39804	NA	NA	1.00425740007019	NA
66	41002	NA	NA	1.0007460869195	NA
67	41702	NA	NA	0.972654518249366	NA
68	42254	NA	NA	0.97057250213223	NA
69	43605	NA	NA	0.990725083363525	NA
70	43271	NA	NA	0.985405946315757	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 15579 & NA & NA & 1.01817252762577 & NA \tabularnewline
2 & 16348 & NA & NA & 1.04342138187056 & NA \tabularnewline
3 & 15928 & NA & NA & 1.02033226444408 & NA \tabularnewline
4 & 16171 & NA & NA & 0.984073887013832 & NA \tabularnewline
5 & 15937 & NA & NA & 1.00425740007019 & NA \tabularnewline
6 & 15713 & NA & NA & 1.0007460869195 & NA \tabularnewline
7 & 15594 & 16030.2785879962 & 16480.9583333333 & 0.972654518249366 & 0.972784091954403 \tabularnewline
8 & 15683 & 16303.9195339427 & 16798.25 & 0.97057250213223 & 0.961915934837016 \tabularnewline
9 & 16438 & 16971.8637218297 & 17130.75 & 0.990725083363525 & 0.968544189926352 \tabularnewline
10 & 17032 & 17151.4421400178 & 17405.4583333333 & 0.985405946315757 & 0.993036029329619 \tabularnewline
11 & 17696 & 17697.2417548214 & 17610.3333333333 & 1.0049350810029 & 0.999929833426099 \tabularnewline
12 & 17745 & 17910.092575839 & 17826.25 & 1.0047033209923 & 0.990782148381426 \tabularnewline
13 & 19394 & 18415.8562025886 & 18087.1666666667 & 1.01817252762577 & 1.05311421780509 \tabularnewline
14 & 20148 & 19132.5222651058 & 18336.3333333333 & 1.04342138187056 & 1.05307599911937 \tabularnewline
15 & 20108 & 18897.956494368 & 18521.375 & 1.02033226444408 & 1.06403038899961 \tabularnewline
16 & 18584 & 18417.3528262501 & 18715.4166666667 & 0.984073887013832 & 1.00904837819648 \tabularnewline
17 & 18441 & 18967.1166067172 & 18886.7083333333 & 1.00425740007019 & 0.9722616453715 \tabularnewline
18 & 18391 & 19042.7386127012 & 19028.5416666667 & 1.0007460869195 & 0.965774953594829 \tabularnewline
19 & 19178 & 18643.5986421743 & 19167.75 & 0.972654518249366 & 1.02866406685117 \tabularnewline
20 & 18079 & 18801.162141408 & 19371.2083333333 & 0.97057250213223 & 0.961589494522919 \tabularnewline
21 & 18483 & 19450.6166001934 & 19632.7083333333 & 0.990725083363525 & 0.950252651621141 \tabularnewline
22 & 19644 & 19594.9614768132 & 19885.1666666667 & 0.985405946315757 & 1.00250260880813 \tabularnewline
23 & 19195 & 20264.5577807186 & 20165.0416666667 & 1.0049350810029 & 0.947220275305676 \tabularnewline
24 & 19650 & 20547.6062439973 & 20451.4166666667 & 1.0047033209923 & 0.956315775505017 \tabularnewline
25 & 20830 & 21060.2623761093 & 20684.375 & 1.01817252762577 & 0.989066500122502 \tabularnewline
26 & 23595 & 21825.6798034956 & 20917.4166666667 & 1.04342138187056 & 1.08106598339361 \tabularnewline
27 & 22937 & 21638.483928976 & 21207.2916666667 & 1.02033226444408 & 1.0600095679201 \tabularnewline
28 & 21814 & 21140.3672777746 & 21482.5 & 0.984073887013832 & 1.0318647596503 \tabularnewline
29 & 21928 & 21915.44895709 & 21822.5416666667 & 1.00425740007019 & 1.00057270297928 \tabularnewline
30 & 21777 & 22274.6481004078 & 22258.0416666667 & 1.0007460869195 & 0.977658542655107 \tabularnewline
31 & 21383 & 22042.5398561967 & 22662.25 & 0.972654518249366 & 0.97007877220595 \tabularnewline
32 & 21467 & 22258.9480018169 & 22933.8333333333 & 0.97057250213223 & 0.964421139680446 \tabularnewline
33 & 22052 & 22953.9856158141 & 23168.875 & 0.990725083363525 & 0.960704618757247 \tabularnewline
34 & 22680 & 23208.814609183 & 23552.5416666667 & 0.985405946315757 & 0.977214923808572 \tabularnewline
35 & 24320 & 24275.0024552309 & 24155.7916666667 & 1.0049350810029 & 1.00185365768148 \tabularnewline
36 & 24977 & 25082.6277217647 & 24965.2083333333 & 1.0047033209923 & 0.995788809572252 \tabularnewline
37 & 25204 & 26243.4393234095 & 25775.0416666667 & 1.01817252762577 & 0.960392412343517 \tabularnewline
38 & 25739 & 27657.0575755337 & 26506.125 & 1.04342138187056 & 0.930648530838996 \tabularnewline
39 & 26434 & 27810.7288796644 & 27256.5416666667 & 1.02033226444408 & 0.950496483367213 \tabularnewline
40 & 27525 & 27545.663205269 & 27991.4583333333 & 0.984073887013832 & 0.999249856316217 \tabularnewline
41 & 30695 & 28792.8128530623 & 28670.75 & 1.00425740007019 & 1.06606465150331 \tabularnewline
42 & 32436 & 29392.412945869 & 29370.5 & 1.0007460869195 & 1.10355009164223 \tabularnewline
43 & 30160 & 29235.8063459099 & 30057.75 & 0.972654518249366 & 1.03161170392071 \tabularnewline
44 & 30236 & 29743.800935656 & 30645.625 & 0.97057250213223 & 1.0165479544934 \tabularnewline
45 & 31293 & 30888.4964074135 & 31177.6666666667 & 0.990725083363525 & 1.01309560644361 \tabularnewline
46 & 31077 & 31197.2953230593 & 31659.3333333333 & 0.985405946315757 & 0.996144046404869 \tabularnewline
47 & 32226 & 32173.4153412583 & 32015.4166666667 & 1.0049350810029 & 1.00163441332491 \tabularnewline
48 & 33865 & 32373.8015848442 & 32222.25 & 1.0047033209923 & 1.04606188776588 \tabularnewline
49 & 32810 & 33096.8434545692 & 32506.125 & 1.01817252762577 & 0.991333208105995 \tabularnewline
50 & 32242 & 34542.377895043 & 33104.9166666667 & 1.04342138187056 & 0.933404182478905 \tabularnewline
51 & 32700 & 34609.9254930093 & 33920.25 & 1.02033226444408 & 0.94481567163746 \tabularnewline
52 & 32819 & 34133.2178172541 & 34685.625 & 0.984073887013832 & 0.9614973945823 \tabularnewline
53 & 33947 & 35547.1970615843 & 35396.5 & 1.00425740007019 & 0.954983875133332 \tabularnewline
54 & 34148 & 36062.9693837382 & 36036.0833333333 & 1.0007460869195 & 0.946899287095264 \tabularnewline
55 & 35261 & 35645.4375120868 & 36647.5833333333 & 0.972654518249366 & 0.989214958802049 \tabularnewline
56 & 39506 & 36314.698096654 & 37415.75 & 0.97057250213223 & 1.08787907020051 \tabularnewline
57 & 41591 & 37818.3706842706 & 38172.4166666667 & 0.990725083363525 & 1.09975652698593 \tabularnewline
58 & 39148 & 38250.7900282064 & 38817.2916666667 & 0.985405946315757 & 1.0234559853831 \tabularnewline
59 & 41216 & 39565.5084356404 & 39371.2083333333 & 1.0049350810029 & 1.04171541399612 \tabularnewline
60 & 40225 & 40088.4997603603 & 39900.8333333333 & 1.0047033209923 & 1.00340497250971 \tabularnewline
61 & 41126 & 41189.9574858239 & 40454.7916666667 & 1.01817252762577 & 0.998447255357184 \tabularnewline
62 & 42362 & 42610.8945857026 & 40837.6666666667 & 1.04342138187056 & 0.9941588979034 \tabularnewline
63 & 40740 & 41870.4398314159 & 41036.0833333333 & 1.02033226444408 & 0.973001481809901 \tabularnewline
64 & 40256 & 40634.173927182 & 41291.7916666667 & 0.984073887013832 & 0.99069320498899 \tabularnewline
65 & 39804 & NA & NA & 1.00425740007019 & NA \tabularnewline
66 & 41002 & NA & NA & 1.0007460869195 & NA \tabularnewline
67 & 41702 & NA & NA & 0.972654518249366 & NA \tabularnewline
68 & 42254 & NA & NA & 0.97057250213223 & NA \tabularnewline
69 & 43605 & NA & NA & 0.990725083363525 & NA \tabularnewline
70 & 43271 & NA & NA & 0.985405946315757 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197800&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]15579[/C][C]NA[/C][C]NA[/C][C]1.01817252762577[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]16348[/C][C]NA[/C][C]NA[/C][C]1.04342138187056[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15928[/C][C]NA[/C][C]NA[/C][C]1.02033226444408[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16171[/C][C]NA[/C][C]NA[/C][C]0.984073887013832[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]15937[/C][C]NA[/C][C]NA[/C][C]1.00425740007019[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15713[/C][C]NA[/C][C]NA[/C][C]1.0007460869195[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]15594[/C][C]16030.2785879962[/C][C]16480.9583333333[/C][C]0.972654518249366[/C][C]0.972784091954403[/C][/ROW]
[ROW][C]8[/C][C]15683[/C][C]16303.9195339427[/C][C]16798.25[/C][C]0.97057250213223[/C][C]0.961915934837016[/C][/ROW]
[ROW][C]9[/C][C]16438[/C][C]16971.8637218297[/C][C]17130.75[/C][C]0.990725083363525[/C][C]0.968544189926352[/C][/ROW]
[ROW][C]10[/C][C]17032[/C][C]17151.4421400178[/C][C]17405.4583333333[/C][C]0.985405946315757[/C][C]0.993036029329619[/C][/ROW]
[ROW][C]11[/C][C]17696[/C][C]17697.2417548214[/C][C]17610.3333333333[/C][C]1.0049350810029[/C][C]0.999929833426099[/C][/ROW]
[ROW][C]12[/C][C]17745[/C][C]17910.092575839[/C][C]17826.25[/C][C]1.0047033209923[/C][C]0.990782148381426[/C][/ROW]
[ROW][C]13[/C][C]19394[/C][C]18415.8562025886[/C][C]18087.1666666667[/C][C]1.01817252762577[/C][C]1.05311421780509[/C][/ROW]
[ROW][C]14[/C][C]20148[/C][C]19132.5222651058[/C][C]18336.3333333333[/C][C]1.04342138187056[/C][C]1.05307599911937[/C][/ROW]
[ROW][C]15[/C][C]20108[/C][C]18897.956494368[/C][C]18521.375[/C][C]1.02033226444408[/C][C]1.06403038899961[/C][/ROW]
[ROW][C]16[/C][C]18584[/C][C]18417.3528262501[/C][C]18715.4166666667[/C][C]0.984073887013832[/C][C]1.00904837819648[/C][/ROW]
[ROW][C]17[/C][C]18441[/C][C]18967.1166067172[/C][C]18886.7083333333[/C][C]1.00425740007019[/C][C]0.9722616453715[/C][/ROW]
[ROW][C]18[/C][C]18391[/C][C]19042.7386127012[/C][C]19028.5416666667[/C][C]1.0007460869195[/C][C]0.965774953594829[/C][/ROW]
[ROW][C]19[/C][C]19178[/C][C]18643.5986421743[/C][C]19167.75[/C][C]0.972654518249366[/C][C]1.02866406685117[/C][/ROW]
[ROW][C]20[/C][C]18079[/C][C]18801.162141408[/C][C]19371.2083333333[/C][C]0.97057250213223[/C][C]0.961589494522919[/C][/ROW]
[ROW][C]21[/C][C]18483[/C][C]19450.6166001934[/C][C]19632.7083333333[/C][C]0.990725083363525[/C][C]0.950252651621141[/C][/ROW]
[ROW][C]22[/C][C]19644[/C][C]19594.9614768132[/C][C]19885.1666666667[/C][C]0.985405946315757[/C][C]1.00250260880813[/C][/ROW]
[ROW][C]23[/C][C]19195[/C][C]20264.5577807186[/C][C]20165.0416666667[/C][C]1.0049350810029[/C][C]0.947220275305676[/C][/ROW]
[ROW][C]24[/C][C]19650[/C][C]20547.6062439973[/C][C]20451.4166666667[/C][C]1.0047033209923[/C][C]0.956315775505017[/C][/ROW]
[ROW][C]25[/C][C]20830[/C][C]21060.2623761093[/C][C]20684.375[/C][C]1.01817252762577[/C][C]0.989066500122502[/C][/ROW]
[ROW][C]26[/C][C]23595[/C][C]21825.6798034956[/C][C]20917.4166666667[/C][C]1.04342138187056[/C][C]1.08106598339361[/C][/ROW]
[ROW][C]27[/C][C]22937[/C][C]21638.483928976[/C][C]21207.2916666667[/C][C]1.02033226444408[/C][C]1.0600095679201[/C][/ROW]
[ROW][C]28[/C][C]21814[/C][C]21140.3672777746[/C][C]21482.5[/C][C]0.984073887013832[/C][C]1.0318647596503[/C][/ROW]
[ROW][C]29[/C][C]21928[/C][C]21915.44895709[/C][C]21822.5416666667[/C][C]1.00425740007019[/C][C]1.00057270297928[/C][/ROW]
[ROW][C]30[/C][C]21777[/C][C]22274.6481004078[/C][C]22258.0416666667[/C][C]1.0007460869195[/C][C]0.977658542655107[/C][/ROW]
[ROW][C]31[/C][C]21383[/C][C]22042.5398561967[/C][C]22662.25[/C][C]0.972654518249366[/C][C]0.97007877220595[/C][/ROW]
[ROW][C]32[/C][C]21467[/C][C]22258.9480018169[/C][C]22933.8333333333[/C][C]0.97057250213223[/C][C]0.964421139680446[/C][/ROW]
[ROW][C]33[/C][C]22052[/C][C]22953.9856158141[/C][C]23168.875[/C][C]0.990725083363525[/C][C]0.960704618757247[/C][/ROW]
[ROW][C]34[/C][C]22680[/C][C]23208.814609183[/C][C]23552.5416666667[/C][C]0.985405946315757[/C][C]0.977214923808572[/C][/ROW]
[ROW][C]35[/C][C]24320[/C][C]24275.0024552309[/C][C]24155.7916666667[/C][C]1.0049350810029[/C][C]1.00185365768148[/C][/ROW]
[ROW][C]36[/C][C]24977[/C][C]25082.6277217647[/C][C]24965.2083333333[/C][C]1.0047033209923[/C][C]0.995788809572252[/C][/ROW]
[ROW][C]37[/C][C]25204[/C][C]26243.4393234095[/C][C]25775.0416666667[/C][C]1.01817252762577[/C][C]0.960392412343517[/C][/ROW]
[ROW][C]38[/C][C]25739[/C][C]27657.0575755337[/C][C]26506.125[/C][C]1.04342138187056[/C][C]0.930648530838996[/C][/ROW]
[ROW][C]39[/C][C]26434[/C][C]27810.7288796644[/C][C]27256.5416666667[/C][C]1.02033226444408[/C][C]0.950496483367213[/C][/ROW]
[ROW][C]40[/C][C]27525[/C][C]27545.663205269[/C][C]27991.4583333333[/C][C]0.984073887013832[/C][C]0.999249856316217[/C][/ROW]
[ROW][C]41[/C][C]30695[/C][C]28792.8128530623[/C][C]28670.75[/C][C]1.00425740007019[/C][C]1.06606465150331[/C][/ROW]
[ROW][C]42[/C][C]32436[/C][C]29392.412945869[/C][C]29370.5[/C][C]1.0007460869195[/C][C]1.10355009164223[/C][/ROW]
[ROW][C]43[/C][C]30160[/C][C]29235.8063459099[/C][C]30057.75[/C][C]0.972654518249366[/C][C]1.03161170392071[/C][/ROW]
[ROW][C]44[/C][C]30236[/C][C]29743.800935656[/C][C]30645.625[/C][C]0.97057250213223[/C][C]1.0165479544934[/C][/ROW]
[ROW][C]45[/C][C]31293[/C][C]30888.4964074135[/C][C]31177.6666666667[/C][C]0.990725083363525[/C][C]1.01309560644361[/C][/ROW]
[ROW][C]46[/C][C]31077[/C][C]31197.2953230593[/C][C]31659.3333333333[/C][C]0.985405946315757[/C][C]0.996144046404869[/C][/ROW]
[ROW][C]47[/C][C]32226[/C][C]32173.4153412583[/C][C]32015.4166666667[/C][C]1.0049350810029[/C][C]1.00163441332491[/C][/ROW]
[ROW][C]48[/C][C]33865[/C][C]32373.8015848442[/C][C]32222.25[/C][C]1.0047033209923[/C][C]1.04606188776588[/C][/ROW]
[ROW][C]49[/C][C]32810[/C][C]33096.8434545692[/C][C]32506.125[/C][C]1.01817252762577[/C][C]0.991333208105995[/C][/ROW]
[ROW][C]50[/C][C]32242[/C][C]34542.377895043[/C][C]33104.9166666667[/C][C]1.04342138187056[/C][C]0.933404182478905[/C][/ROW]
[ROW][C]51[/C][C]32700[/C][C]34609.9254930093[/C][C]33920.25[/C][C]1.02033226444408[/C][C]0.94481567163746[/C][/ROW]
[ROW][C]52[/C][C]32819[/C][C]34133.2178172541[/C][C]34685.625[/C][C]0.984073887013832[/C][C]0.9614973945823[/C][/ROW]
[ROW][C]53[/C][C]33947[/C][C]35547.1970615843[/C][C]35396.5[/C][C]1.00425740007019[/C][C]0.954983875133332[/C][/ROW]
[ROW][C]54[/C][C]34148[/C][C]36062.9693837382[/C][C]36036.0833333333[/C][C]1.0007460869195[/C][C]0.946899287095264[/C][/ROW]
[ROW][C]55[/C][C]35261[/C][C]35645.4375120868[/C][C]36647.5833333333[/C][C]0.972654518249366[/C][C]0.989214958802049[/C][/ROW]
[ROW][C]56[/C][C]39506[/C][C]36314.698096654[/C][C]37415.75[/C][C]0.97057250213223[/C][C]1.08787907020051[/C][/ROW]
[ROW][C]57[/C][C]41591[/C][C]37818.3706842706[/C][C]38172.4166666667[/C][C]0.990725083363525[/C][C]1.09975652698593[/C][/ROW]
[ROW][C]58[/C][C]39148[/C][C]38250.7900282064[/C][C]38817.2916666667[/C][C]0.985405946315757[/C][C]1.0234559853831[/C][/ROW]
[ROW][C]59[/C][C]41216[/C][C]39565.5084356404[/C][C]39371.2083333333[/C][C]1.0049350810029[/C][C]1.04171541399612[/C][/ROW]
[ROW][C]60[/C][C]40225[/C][C]40088.4997603603[/C][C]39900.8333333333[/C][C]1.0047033209923[/C][C]1.00340497250971[/C][/ROW]
[ROW][C]61[/C][C]41126[/C][C]41189.9574858239[/C][C]40454.7916666667[/C][C]1.01817252762577[/C][C]0.998447255357184[/C][/ROW]
[ROW][C]62[/C][C]42362[/C][C]42610.8945857026[/C][C]40837.6666666667[/C][C]1.04342138187056[/C][C]0.9941588979034[/C][/ROW]
[ROW][C]63[/C][C]40740[/C][C]41870.4398314159[/C][C]41036.0833333333[/C][C]1.02033226444408[/C][C]0.973001481809901[/C][/ROW]
[ROW][C]64[/C][C]40256[/C][C]40634.173927182[/C][C]41291.7916666667[/C][C]0.984073887013832[/C][C]0.99069320498899[/C][/ROW]
[ROW][C]65[/C][C]39804[/C][C]NA[/C][C]NA[/C][C]1.00425740007019[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]41002[/C][C]NA[/C][C]NA[/C][C]1.0007460869195[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]41702[/C][C]NA[/C][C]NA[/C][C]0.972654518249366[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]42254[/C][C]NA[/C][C]NA[/C][C]0.97057250213223[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]43605[/C][C]NA[/C][C]NA[/C][C]0.990725083363525[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]43271[/C][C]NA[/C][C]NA[/C][C]0.985405946315757[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197800&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197800&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	15579	NA	NA	1.01817252762577	NA
2	16348	NA	NA	1.04342138187056	NA
3	15928	NA	NA	1.02033226444408	NA
4	16171	NA	NA	0.984073887013832	NA
5	15937	NA	NA	1.00425740007019	NA
6	15713	NA	NA	1.0007460869195	NA
7	15594	16030.2785879962	16480.9583333333	0.972654518249366	0.972784091954403
8	15683	16303.9195339427	16798.25	0.97057250213223	0.961915934837016
9	16438	16971.8637218297	17130.75	0.990725083363525	0.968544189926352
10	17032	17151.4421400178	17405.4583333333	0.985405946315757	0.993036029329619
11	17696	17697.2417548214	17610.3333333333	1.0049350810029	0.999929833426099
12	17745	17910.092575839	17826.25	1.0047033209923	0.990782148381426
13	19394	18415.8562025886	18087.1666666667	1.01817252762577	1.05311421780509
14	20148	19132.5222651058	18336.3333333333	1.04342138187056	1.05307599911937
15	20108	18897.956494368	18521.375	1.02033226444408	1.06403038899961
16	18584	18417.3528262501	18715.4166666667	0.984073887013832	1.00904837819648
17	18441	18967.1166067172	18886.7083333333	1.00425740007019	0.9722616453715
18	18391	19042.7386127012	19028.5416666667	1.0007460869195	0.965774953594829
19	19178	18643.5986421743	19167.75	0.972654518249366	1.02866406685117
20	18079	18801.162141408	19371.2083333333	0.97057250213223	0.961589494522919
21	18483	19450.6166001934	19632.7083333333	0.990725083363525	0.950252651621141
22	19644	19594.9614768132	19885.1666666667	0.985405946315757	1.00250260880813
23	19195	20264.5577807186	20165.0416666667	1.0049350810029	0.947220275305676
24	19650	20547.6062439973	20451.4166666667	1.0047033209923	0.956315775505017
25	20830	21060.2623761093	20684.375	1.01817252762577	0.989066500122502
26	23595	21825.6798034956	20917.4166666667	1.04342138187056	1.08106598339361
27	22937	21638.483928976	21207.2916666667	1.02033226444408	1.0600095679201
28	21814	21140.3672777746	21482.5	0.984073887013832	1.0318647596503
29	21928	21915.44895709	21822.5416666667	1.00425740007019	1.00057270297928
30	21777	22274.6481004078	22258.0416666667	1.0007460869195	0.977658542655107
31	21383	22042.5398561967	22662.25	0.972654518249366	0.97007877220595
32	21467	22258.9480018169	22933.8333333333	0.97057250213223	0.964421139680446
33	22052	22953.9856158141	23168.875	0.990725083363525	0.960704618757247
34	22680	23208.814609183	23552.5416666667	0.985405946315757	0.977214923808572
35	24320	24275.0024552309	24155.7916666667	1.0049350810029	1.00185365768148
36	24977	25082.6277217647	24965.2083333333	1.0047033209923	0.995788809572252
37	25204	26243.4393234095	25775.0416666667	1.01817252762577	0.960392412343517
38	25739	27657.0575755337	26506.125	1.04342138187056	0.930648530838996
39	26434	27810.7288796644	27256.5416666667	1.02033226444408	0.950496483367213
40	27525	27545.663205269	27991.4583333333	0.984073887013832	0.999249856316217
41	30695	28792.8128530623	28670.75	1.00425740007019	1.06606465150331
42	32436	29392.412945869	29370.5	1.0007460869195	1.10355009164223
43	30160	29235.8063459099	30057.75	0.972654518249366	1.03161170392071
44	30236	29743.800935656	30645.625	0.97057250213223	1.0165479544934
45	31293	30888.4964074135	31177.6666666667	0.990725083363525	1.01309560644361
46	31077	31197.2953230593	31659.3333333333	0.985405946315757	0.996144046404869
47	32226	32173.4153412583	32015.4166666667	1.0049350810029	1.00163441332491
48	33865	32373.8015848442	32222.25	1.0047033209923	1.04606188776588
49	32810	33096.8434545692	32506.125	1.01817252762577	0.991333208105995
50	32242	34542.377895043	33104.9166666667	1.04342138187056	0.933404182478905
51	32700	34609.9254930093	33920.25	1.02033226444408	0.94481567163746
52	32819	34133.2178172541	34685.625	0.984073887013832	0.9614973945823
53	33947	35547.1970615843	35396.5	1.00425740007019	0.954983875133332
54	34148	36062.9693837382	36036.0833333333	1.0007460869195	0.946899287095264
55	35261	35645.4375120868	36647.5833333333	0.972654518249366	0.989214958802049
56	39506	36314.698096654	37415.75	0.97057250213223	1.08787907020051
57	41591	37818.3706842706	38172.4166666667	0.990725083363525	1.09975652698593
58	39148	38250.7900282064	38817.2916666667	0.985405946315757	1.0234559853831
59	41216	39565.5084356404	39371.2083333333	1.0049350810029	1.04171541399612
60	40225	40088.4997603603	39900.8333333333	1.0047033209923	1.00340497250971
61	41126	41189.9574858239	40454.7916666667	1.01817252762577	0.998447255357184
62	42362	42610.8945857026	40837.6666666667	1.04342138187056	0.9941588979034
63	40740	41870.4398314159	41036.0833333333	1.02033226444408	0.973001481809901
64	40256	40634.173927182	41291.7916666667	0.984073887013832	0.99069320498899
65	39804	NA	NA	1.00425740007019	NA
66	41002	NA	NA	1.0007460869195	NA
67	41702	NA	NA	0.972654518249366	NA
68	42254	NA	NA	0.97057250213223	NA
69	43605	NA	NA	0.990725083363525	NA
70	43271	NA	NA	0.985405946315757	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 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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