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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 28 Nov 2011 13:11:37 -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/2011/Nov/28/t1322503966cv1vuwzqk59x12l.htm/, Retrieved Fri, 26 Apr 2024 00:15:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147945, Retrieved Fri, 26 Apr 2024 00:15:52 +0000

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Estimated Impact

125

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

-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
- RM D  [Classical Decomposition] [Additieve methode] [2011-11-28 17:56:00] [f2faabc3a2466a29562900bc59f67898]
-    D    [Classical Decomposition] [Additieve methode] [2011-11-28 18:00:07] [f2faabc3a2466a29562900bc59f67898]
-   P         [Classical Decomposition] [Multiplicative se...] [2011-11-28 18:11:37] [5988e21ec0676b551e455a86717edc1d] [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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147945&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147945&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147945&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	16111	NA	NA	0.993401737044577	NA
2	15554	NA	NA	0.971292378001498	NA
3	15220	NA	NA	0.947643384106802	NA
4	14807	NA	NA	0.934510533934951	NA
5	14291	NA	NA	0.911950002792141	NA
6	14653	NA	NA	0.950100743680647	NA
7	17006	15677.4065541733	15676.2916666667	1.11488750662935	0.973033495859924
8	18032	15574.9500628748	15573.7916666667	1.15839620808848	0.999522122208252
9	16558	15481.4285860069	15480.375	1.05358600688357	1.01521121650661
10	16102	15403.125240267	15402.125	1.00024026700605	1.04518903397975
11	15055	15369.0788522917	15368.125	0.953852291688182	1.02701963828301
12	15484	15343.7184722735	15342.7083333333	1.01013894014375	0.999079436775482
13	14596	15292.0767350704	15291.0833333333	0.993401737044577	0.960883386334689
14	14609	15192.596292378	15191.625	0.971292378001498	0.990070856499903
15	13923	15092.5309767174	15091.5833333333	0.947643384106802	0.973538390168768
16	14226	14971.9345105339	14971	0.934510533934951	1.01682869331325
17	14056	14807.6619500028	14806.75	0.911950002792141	1.04095265148808
18	14278	14627.533434077	14626.5833333333	0.950100743680647	1.02743612062171
19	16142	14465.2815541733	14464.1666666667	1.11488750662935	1.00099723245648
20	16509	14305.7833962081	14304.625	1.15839620808848	0.996293193191255
21	15680	14109.0952526735	14108.0416666667	1.05358600688357	1.05489523536847
22	14086	13880.7085736003	13879.7083333333	1.00024026700605	1.0146190448467
23	13129	13620.4955189584	13619.5416666667	0.953852291688182	1.01062032483669
24	13086	13349.5101389401	13348.5	1.01013894014375	0.970495077584976
25	13096	13088.0767350704	13087.0833333333	0.993401737044577	1.00732794805943
26	12280	12844.3046257113	12843.3333333333	0.971292378001498	0.984397793994014
27	11534	12560.1143100508	12559.1666666667	0.947643384106802	0.969112484407731
28	11135	12273.0178438673	12272.0833333333	0.934510533934951	0.970929562480421
29	10903	12035.7869500028	12034.875	0.911950002792141	0.993421143885238
30	10926	11839.158434077	11838.2083333333	0.950100743680647	0.971416687112151
31	13220	11660.44822084	11659.3333333333	1.11488750662935	1.01701342925978
32	13581	11482.2417295414	11481.0833333333	1.15839620808848	1.0211551989401
33	11788	11349.4702526735	11348.4166666667	1.05358600688357	0.985904525979201
34	11088	11249.000240267	11248	1.00024026700605	0.985538456558841
35	10434	11134.6205189584	11133.6666666667	0.953852291688182	0.982497581962083
36	11061	11030.9268056068	11029.9166666667	1.01013894014375	0.992752633685687
37	10828	10944.0350684037	10943.0416666667	0.993401737044577	0.996059493690026
38	10270	10851.9296257113	10850.9583333333	0.971292378001498	0.974433861033461
39	10360	10777.3643100508	10776.4166666667	0.947643384106802	1.01447288949051
40	9899	10730.3928438673	10729.4583333333	0.934510533934951	0.987254962703186
41	9395	10703.2036166695	10702.2916666667	0.911950002792141	0.962606905619318
42	9944	10703.4501007437	10702.5	0.950100743680647	0.977926514030854
43	12117	10741.1148875066	10740	1.11488750662935	1.01195168462667
44	12474	10824.5333962081	10823.375	1.15839620808848	0.994914835168391
45	11106	10931.0119193402	10929.9583333333	1.05358600688357	0.964426574730561
46	10643	11045.9585736003	11044.9583333333	1.00024026700605	0.963375608253417
47	10227	11183.4538522917	11182.5	0.953852291688182	0.958800433337219
48	11273	11343.5934722735	11342.5833333333	1.01013894014375	0.98388970231471
49	11516	11507.993401737	11507	0.993401737044577	1.00742941681611
50	11583	11674.5546257113	11673.5833333333	0.971292378001498	1.02156707613849
51	11605	11851.7393100508	11850.7916666667	0.947643384106802	1.0333628548919
52	11414	12031.2261772006	12030.2916666667	0.934510533934951	1.01526054827475
53	11181	12222.0786166695	12221.1666666667	0.911950002792141	1.00322177879432
54	12000	12431.033434077	12430.0833333333	0.950100743680647	1.01610256524758
55	14007	12615.44822084	12614.3333333333	1.11488750662935	0.995978071897694
56	14582	12753.9083962081	12752.75	1.15839620808848	0.987088564592548
57	13251	12853.9702526735	12852.9166666667	1.05358600688357	0.978536361515705
58	12806	12929.9585736003	12928.9583333333	1.00024026700605	0.990251770461843
59	12645	12997.3288522917	12996.375	0.953852291688182	1.02003593568155
60	13869	13042.7601389401	13041.75	1.01013894014375	1.05275706373969
61	13342	13075.0350684037	13074.0416666667	0.993401737044577	1.02727366920029
62	13079	13093.346292378	13092.375	0.971292378001498	1.02850432643468
63	12513	13094.1559767174	13093.2083333333	0.947643384106802	1.00848729514163
64	12331	13082.2678438673	13081.3333333333	0.934510533934951	1.00870014732893
65	11882	13046.1619500028	13045.25	0.911950002792141	0.998771434313596
66	12388	12960.6167674103	12959.6666666667	0.950100743680647	1.00609202708825
67	14394	NA	NA	1.11488750662935	NA
68	14635	NA	NA	1.15839620808848	NA
69	13218	NA	NA	1.05358600688357	NA
70	12554	NA	NA	1.00024026700605	NA
71	12031	NA	NA	0.953852291688182	NA
72	12429	NA	NA	1.01013894014375	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 16111 & NA & NA & 0.993401737044577 & NA \tabularnewline
2 & 15554 & NA & NA & 0.971292378001498 & NA \tabularnewline
3 & 15220 & NA & NA & 0.947643384106802 & NA \tabularnewline
4 & 14807 & NA & NA & 0.934510533934951 & NA \tabularnewline
5 & 14291 & NA & NA & 0.911950002792141 & NA \tabularnewline
6 & 14653 & NA & NA & 0.950100743680647 & NA \tabularnewline
7 & 17006 & 15677.4065541733 & 15676.2916666667 & 1.11488750662935 & 0.973033495859924 \tabularnewline
8 & 18032 & 15574.9500628748 & 15573.7916666667 & 1.15839620808848 & 0.999522122208252 \tabularnewline
9 & 16558 & 15481.4285860069 & 15480.375 & 1.05358600688357 & 1.01521121650661 \tabularnewline
10 & 16102 & 15403.125240267 & 15402.125 & 1.00024026700605 & 1.04518903397975 \tabularnewline
11 & 15055 & 15369.0788522917 & 15368.125 & 0.953852291688182 & 1.02701963828301 \tabularnewline
12 & 15484 & 15343.7184722735 & 15342.7083333333 & 1.01013894014375 & 0.999079436775482 \tabularnewline
13 & 14596 & 15292.0767350704 & 15291.0833333333 & 0.993401737044577 & 0.960883386334689 \tabularnewline
14 & 14609 & 15192.596292378 & 15191.625 & 0.971292378001498 & 0.990070856499903 \tabularnewline
15 & 13923 & 15092.5309767174 & 15091.5833333333 & 0.947643384106802 & 0.973538390168768 \tabularnewline
16 & 14226 & 14971.9345105339 & 14971 & 0.934510533934951 & 1.01682869331325 \tabularnewline
17 & 14056 & 14807.6619500028 & 14806.75 & 0.911950002792141 & 1.04095265148808 \tabularnewline
18 & 14278 & 14627.533434077 & 14626.5833333333 & 0.950100743680647 & 1.02743612062171 \tabularnewline
19 & 16142 & 14465.2815541733 & 14464.1666666667 & 1.11488750662935 & 1.00099723245648 \tabularnewline
20 & 16509 & 14305.7833962081 & 14304.625 & 1.15839620808848 & 0.996293193191255 \tabularnewline
21 & 15680 & 14109.0952526735 & 14108.0416666667 & 1.05358600688357 & 1.05489523536847 \tabularnewline
22 & 14086 & 13880.7085736003 & 13879.7083333333 & 1.00024026700605 & 1.0146190448467 \tabularnewline
23 & 13129 & 13620.4955189584 & 13619.5416666667 & 0.953852291688182 & 1.01062032483669 \tabularnewline
24 & 13086 & 13349.5101389401 & 13348.5 & 1.01013894014375 & 0.970495077584976 \tabularnewline
25 & 13096 & 13088.0767350704 & 13087.0833333333 & 0.993401737044577 & 1.00732794805943 \tabularnewline
26 & 12280 & 12844.3046257113 & 12843.3333333333 & 0.971292378001498 & 0.984397793994014 \tabularnewline
27 & 11534 & 12560.1143100508 & 12559.1666666667 & 0.947643384106802 & 0.969112484407731 \tabularnewline
28 & 11135 & 12273.0178438673 & 12272.0833333333 & 0.934510533934951 & 0.970929562480421 \tabularnewline
29 & 10903 & 12035.7869500028 & 12034.875 & 0.911950002792141 & 0.993421143885238 \tabularnewline
30 & 10926 & 11839.158434077 & 11838.2083333333 & 0.950100743680647 & 0.971416687112151 \tabularnewline
31 & 13220 & 11660.44822084 & 11659.3333333333 & 1.11488750662935 & 1.01701342925978 \tabularnewline
32 & 13581 & 11482.2417295414 & 11481.0833333333 & 1.15839620808848 & 1.0211551989401 \tabularnewline
33 & 11788 & 11349.4702526735 & 11348.4166666667 & 1.05358600688357 & 0.985904525979201 \tabularnewline
34 & 11088 & 11249.000240267 & 11248 & 1.00024026700605 & 0.985538456558841 \tabularnewline
35 & 10434 & 11134.6205189584 & 11133.6666666667 & 0.953852291688182 & 0.982497581962083 \tabularnewline
36 & 11061 & 11030.9268056068 & 11029.9166666667 & 1.01013894014375 & 0.992752633685687 \tabularnewline
37 & 10828 & 10944.0350684037 & 10943.0416666667 & 0.993401737044577 & 0.996059493690026 \tabularnewline
38 & 10270 & 10851.9296257113 & 10850.9583333333 & 0.971292378001498 & 0.974433861033461 \tabularnewline
39 & 10360 & 10777.3643100508 & 10776.4166666667 & 0.947643384106802 & 1.01447288949051 \tabularnewline
40 & 9899 & 10730.3928438673 & 10729.4583333333 & 0.934510533934951 & 0.987254962703186 \tabularnewline
41 & 9395 & 10703.2036166695 & 10702.2916666667 & 0.911950002792141 & 0.962606905619318 \tabularnewline
42 & 9944 & 10703.4501007437 & 10702.5 & 0.950100743680647 & 0.977926514030854 \tabularnewline
43 & 12117 & 10741.1148875066 & 10740 & 1.11488750662935 & 1.01195168462667 \tabularnewline
44 & 12474 & 10824.5333962081 & 10823.375 & 1.15839620808848 & 0.994914835168391 \tabularnewline
45 & 11106 & 10931.0119193402 & 10929.9583333333 & 1.05358600688357 & 0.964426574730561 \tabularnewline
46 & 10643 & 11045.9585736003 & 11044.9583333333 & 1.00024026700605 & 0.963375608253417 \tabularnewline
47 & 10227 & 11183.4538522917 & 11182.5 & 0.953852291688182 & 0.958800433337219 \tabularnewline
48 & 11273 & 11343.5934722735 & 11342.5833333333 & 1.01013894014375 & 0.98388970231471 \tabularnewline
49 & 11516 & 11507.993401737 & 11507 & 0.993401737044577 & 1.00742941681611 \tabularnewline
50 & 11583 & 11674.5546257113 & 11673.5833333333 & 0.971292378001498 & 1.02156707613849 \tabularnewline
51 & 11605 & 11851.7393100508 & 11850.7916666667 & 0.947643384106802 & 1.0333628548919 \tabularnewline
52 & 11414 & 12031.2261772006 & 12030.2916666667 & 0.934510533934951 & 1.01526054827475 \tabularnewline
53 & 11181 & 12222.0786166695 & 12221.1666666667 & 0.911950002792141 & 1.00322177879432 \tabularnewline
54 & 12000 & 12431.033434077 & 12430.0833333333 & 0.950100743680647 & 1.01610256524758 \tabularnewline
55 & 14007 & 12615.44822084 & 12614.3333333333 & 1.11488750662935 & 0.995978071897694 \tabularnewline
56 & 14582 & 12753.9083962081 & 12752.75 & 1.15839620808848 & 0.987088564592548 \tabularnewline
57 & 13251 & 12853.9702526735 & 12852.9166666667 & 1.05358600688357 & 0.978536361515705 \tabularnewline
58 & 12806 & 12929.9585736003 & 12928.9583333333 & 1.00024026700605 & 0.990251770461843 \tabularnewline
59 & 12645 & 12997.3288522917 & 12996.375 & 0.953852291688182 & 1.02003593568155 \tabularnewline
60 & 13869 & 13042.7601389401 & 13041.75 & 1.01013894014375 & 1.05275706373969 \tabularnewline
61 & 13342 & 13075.0350684037 & 13074.0416666667 & 0.993401737044577 & 1.02727366920029 \tabularnewline
62 & 13079 & 13093.346292378 & 13092.375 & 0.971292378001498 & 1.02850432643468 \tabularnewline
63 & 12513 & 13094.1559767174 & 13093.2083333333 & 0.947643384106802 & 1.00848729514163 \tabularnewline
64 & 12331 & 13082.2678438673 & 13081.3333333333 & 0.934510533934951 & 1.00870014732893 \tabularnewline
65 & 11882 & 13046.1619500028 & 13045.25 & 0.911950002792141 & 0.998771434313596 \tabularnewline
66 & 12388 & 12960.6167674103 & 12959.6666666667 & 0.950100743680647 & 1.00609202708825 \tabularnewline
67 & 14394 & NA & NA & 1.11488750662935 & NA \tabularnewline
68 & 14635 & NA & NA & 1.15839620808848 & NA \tabularnewline
69 & 13218 & NA & NA & 1.05358600688357 & NA \tabularnewline
70 & 12554 & NA & NA & 1.00024026700605 & NA \tabularnewline
71 & 12031 & NA & NA & 0.953852291688182 & NA \tabularnewline
72 & 12429 & NA & NA & 1.01013894014375 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147945&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]16111[/C][C]NA[/C][C]NA[/C][C]0.993401737044577[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]15554[/C][C]NA[/C][C]NA[/C][C]0.971292378001498[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15220[/C][C]NA[/C][C]NA[/C][C]0.947643384106802[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]14807[/C][C]NA[/C][C]NA[/C][C]0.934510533934951[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]14291[/C][C]NA[/C][C]NA[/C][C]0.911950002792141[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]14653[/C][C]NA[/C][C]NA[/C][C]0.950100743680647[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]17006[/C][C]15677.4065541733[/C][C]15676.2916666667[/C][C]1.11488750662935[/C][C]0.973033495859924[/C][/ROW]
[ROW][C]8[/C][C]18032[/C][C]15574.9500628748[/C][C]15573.7916666667[/C][C]1.15839620808848[/C][C]0.999522122208252[/C][/ROW]
[ROW][C]9[/C][C]16558[/C][C]15481.4285860069[/C][C]15480.375[/C][C]1.05358600688357[/C][C]1.01521121650661[/C][/ROW]
[ROW][C]10[/C][C]16102[/C][C]15403.125240267[/C][C]15402.125[/C][C]1.00024026700605[/C][C]1.04518903397975[/C][/ROW]
[ROW][C]11[/C][C]15055[/C][C]15369.0788522917[/C][C]15368.125[/C][C]0.953852291688182[/C][C]1.02701963828301[/C][/ROW]
[ROW][C]12[/C][C]15484[/C][C]15343.7184722735[/C][C]15342.7083333333[/C][C]1.01013894014375[/C][C]0.999079436775482[/C][/ROW]
[ROW][C]13[/C][C]14596[/C][C]15292.0767350704[/C][C]15291.0833333333[/C][C]0.993401737044577[/C][C]0.960883386334689[/C][/ROW]
[ROW][C]14[/C][C]14609[/C][C]15192.596292378[/C][C]15191.625[/C][C]0.971292378001498[/C][C]0.990070856499903[/C][/ROW]
[ROW][C]15[/C][C]13923[/C][C]15092.5309767174[/C][C]15091.5833333333[/C][C]0.947643384106802[/C][C]0.973538390168768[/C][/ROW]
[ROW][C]16[/C][C]14226[/C][C]14971.9345105339[/C][C]14971[/C][C]0.934510533934951[/C][C]1.01682869331325[/C][/ROW]
[ROW][C]17[/C][C]14056[/C][C]14807.6619500028[/C][C]14806.75[/C][C]0.911950002792141[/C][C]1.04095265148808[/C][/ROW]
[ROW][C]18[/C][C]14278[/C][C]14627.533434077[/C][C]14626.5833333333[/C][C]0.950100743680647[/C][C]1.02743612062171[/C][/ROW]
[ROW][C]19[/C][C]16142[/C][C]14465.2815541733[/C][C]14464.1666666667[/C][C]1.11488750662935[/C][C]1.00099723245648[/C][/ROW]
[ROW][C]20[/C][C]16509[/C][C]14305.7833962081[/C][C]14304.625[/C][C]1.15839620808848[/C][C]0.996293193191255[/C][/ROW]
[ROW][C]21[/C][C]15680[/C][C]14109.0952526735[/C][C]14108.0416666667[/C][C]1.05358600688357[/C][C]1.05489523536847[/C][/ROW]
[ROW][C]22[/C][C]14086[/C][C]13880.7085736003[/C][C]13879.7083333333[/C][C]1.00024026700605[/C][C]1.0146190448467[/C][/ROW]
[ROW][C]23[/C][C]13129[/C][C]13620.4955189584[/C][C]13619.5416666667[/C][C]0.953852291688182[/C][C]1.01062032483669[/C][/ROW]
[ROW][C]24[/C][C]13086[/C][C]13349.5101389401[/C][C]13348.5[/C][C]1.01013894014375[/C][C]0.970495077584976[/C][/ROW]
[ROW][C]25[/C][C]13096[/C][C]13088.0767350704[/C][C]13087.0833333333[/C][C]0.993401737044577[/C][C]1.00732794805943[/C][/ROW]
[ROW][C]26[/C][C]12280[/C][C]12844.3046257113[/C][C]12843.3333333333[/C][C]0.971292378001498[/C][C]0.984397793994014[/C][/ROW]
[ROW][C]27[/C][C]11534[/C][C]12560.1143100508[/C][C]12559.1666666667[/C][C]0.947643384106802[/C][C]0.969112484407731[/C][/ROW]
[ROW][C]28[/C][C]11135[/C][C]12273.0178438673[/C][C]12272.0833333333[/C][C]0.934510533934951[/C][C]0.970929562480421[/C][/ROW]
[ROW][C]29[/C][C]10903[/C][C]12035.7869500028[/C][C]12034.875[/C][C]0.911950002792141[/C][C]0.993421143885238[/C][/ROW]
[ROW][C]30[/C][C]10926[/C][C]11839.158434077[/C][C]11838.2083333333[/C][C]0.950100743680647[/C][C]0.971416687112151[/C][/ROW]
[ROW][C]31[/C][C]13220[/C][C]11660.44822084[/C][C]11659.3333333333[/C][C]1.11488750662935[/C][C]1.01701342925978[/C][/ROW]
[ROW][C]32[/C][C]13581[/C][C]11482.2417295414[/C][C]11481.0833333333[/C][C]1.15839620808848[/C][C]1.0211551989401[/C][/ROW]
[ROW][C]33[/C][C]11788[/C][C]11349.4702526735[/C][C]11348.4166666667[/C][C]1.05358600688357[/C][C]0.985904525979201[/C][/ROW]
[ROW][C]34[/C][C]11088[/C][C]11249.000240267[/C][C]11248[/C][C]1.00024026700605[/C][C]0.985538456558841[/C][/ROW]
[ROW][C]35[/C][C]10434[/C][C]11134.6205189584[/C][C]11133.6666666667[/C][C]0.953852291688182[/C][C]0.982497581962083[/C][/ROW]
[ROW][C]36[/C][C]11061[/C][C]11030.9268056068[/C][C]11029.9166666667[/C][C]1.01013894014375[/C][C]0.992752633685687[/C][/ROW]
[ROW][C]37[/C][C]10828[/C][C]10944.0350684037[/C][C]10943.0416666667[/C][C]0.993401737044577[/C][C]0.996059493690026[/C][/ROW]
[ROW][C]38[/C][C]10270[/C][C]10851.9296257113[/C][C]10850.9583333333[/C][C]0.971292378001498[/C][C]0.974433861033461[/C][/ROW]
[ROW][C]39[/C][C]10360[/C][C]10777.3643100508[/C][C]10776.4166666667[/C][C]0.947643384106802[/C][C]1.01447288949051[/C][/ROW]
[ROW][C]40[/C][C]9899[/C][C]10730.3928438673[/C][C]10729.4583333333[/C][C]0.934510533934951[/C][C]0.987254962703186[/C][/ROW]
[ROW][C]41[/C][C]9395[/C][C]10703.2036166695[/C][C]10702.2916666667[/C][C]0.911950002792141[/C][C]0.962606905619318[/C][/ROW]
[ROW][C]42[/C][C]9944[/C][C]10703.4501007437[/C][C]10702.5[/C][C]0.950100743680647[/C][C]0.977926514030854[/C][/ROW]
[ROW][C]43[/C][C]12117[/C][C]10741.1148875066[/C][C]10740[/C][C]1.11488750662935[/C][C]1.01195168462667[/C][/ROW]
[ROW][C]44[/C][C]12474[/C][C]10824.5333962081[/C][C]10823.375[/C][C]1.15839620808848[/C][C]0.994914835168391[/C][/ROW]
[ROW][C]45[/C][C]11106[/C][C]10931.0119193402[/C][C]10929.9583333333[/C][C]1.05358600688357[/C][C]0.964426574730561[/C][/ROW]
[ROW][C]46[/C][C]10643[/C][C]11045.9585736003[/C][C]11044.9583333333[/C][C]1.00024026700605[/C][C]0.963375608253417[/C][/ROW]
[ROW][C]47[/C][C]10227[/C][C]11183.4538522917[/C][C]11182.5[/C][C]0.953852291688182[/C][C]0.958800433337219[/C][/ROW]
[ROW][C]48[/C][C]11273[/C][C]11343.5934722735[/C][C]11342.5833333333[/C][C]1.01013894014375[/C][C]0.98388970231471[/C][/ROW]
[ROW][C]49[/C][C]11516[/C][C]11507.993401737[/C][C]11507[/C][C]0.993401737044577[/C][C]1.00742941681611[/C][/ROW]
[ROW][C]50[/C][C]11583[/C][C]11674.5546257113[/C][C]11673.5833333333[/C][C]0.971292378001498[/C][C]1.02156707613849[/C][/ROW]
[ROW][C]51[/C][C]11605[/C][C]11851.7393100508[/C][C]11850.7916666667[/C][C]0.947643384106802[/C][C]1.0333628548919[/C][/ROW]
[ROW][C]52[/C][C]11414[/C][C]12031.2261772006[/C][C]12030.2916666667[/C][C]0.934510533934951[/C][C]1.01526054827475[/C][/ROW]
[ROW][C]53[/C][C]11181[/C][C]12222.0786166695[/C][C]12221.1666666667[/C][C]0.911950002792141[/C][C]1.00322177879432[/C][/ROW]
[ROW][C]54[/C][C]12000[/C][C]12431.033434077[/C][C]12430.0833333333[/C][C]0.950100743680647[/C][C]1.01610256524758[/C][/ROW]
[ROW][C]55[/C][C]14007[/C][C]12615.44822084[/C][C]12614.3333333333[/C][C]1.11488750662935[/C][C]0.995978071897694[/C][/ROW]
[ROW][C]56[/C][C]14582[/C][C]12753.9083962081[/C][C]12752.75[/C][C]1.15839620808848[/C][C]0.987088564592548[/C][/ROW]
[ROW][C]57[/C][C]13251[/C][C]12853.9702526735[/C][C]12852.9166666667[/C][C]1.05358600688357[/C][C]0.978536361515705[/C][/ROW]
[ROW][C]58[/C][C]12806[/C][C]12929.9585736003[/C][C]12928.9583333333[/C][C]1.00024026700605[/C][C]0.990251770461843[/C][/ROW]
[ROW][C]59[/C][C]12645[/C][C]12997.3288522917[/C][C]12996.375[/C][C]0.953852291688182[/C][C]1.02003593568155[/C][/ROW]
[ROW][C]60[/C][C]13869[/C][C]13042.7601389401[/C][C]13041.75[/C][C]1.01013894014375[/C][C]1.05275706373969[/C][/ROW]
[ROW][C]61[/C][C]13342[/C][C]13075.0350684037[/C][C]13074.0416666667[/C][C]0.993401737044577[/C][C]1.02727366920029[/C][/ROW]
[ROW][C]62[/C][C]13079[/C][C]13093.346292378[/C][C]13092.375[/C][C]0.971292378001498[/C][C]1.02850432643468[/C][/ROW]
[ROW][C]63[/C][C]12513[/C][C]13094.1559767174[/C][C]13093.2083333333[/C][C]0.947643384106802[/C][C]1.00848729514163[/C][/ROW]
[ROW][C]64[/C][C]12331[/C][C]13082.2678438673[/C][C]13081.3333333333[/C][C]0.934510533934951[/C][C]1.00870014732893[/C][/ROW]
[ROW][C]65[/C][C]11882[/C][C]13046.1619500028[/C][C]13045.25[/C][C]0.911950002792141[/C][C]0.998771434313596[/C][/ROW]
[ROW][C]66[/C][C]12388[/C][C]12960.6167674103[/C][C]12959.6666666667[/C][C]0.950100743680647[/C][C]1.00609202708825[/C][/ROW]
[ROW][C]67[/C][C]14394[/C][C]NA[/C][C]NA[/C][C]1.11488750662935[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]14635[/C][C]NA[/C][C]NA[/C][C]1.15839620808848[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]13218[/C][C]NA[/C][C]NA[/C][C]1.05358600688357[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]12554[/C][C]NA[/C][C]NA[/C][C]1.00024026700605[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]12031[/C][C]NA[/C][C]NA[/C][C]0.953852291688182[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]12429[/C][C]NA[/C][C]NA[/C][C]1.01013894014375[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147945&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147945&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	16111	NA	NA	0.993401737044577	NA
2	15554	NA	NA	0.971292378001498	NA
3	15220	NA	NA	0.947643384106802	NA
4	14807	NA	NA	0.934510533934951	NA
5	14291	NA	NA	0.911950002792141	NA
6	14653	NA	NA	0.950100743680647	NA
7	17006	15677.4065541733	15676.2916666667	1.11488750662935	0.973033495859924
8	18032	15574.9500628748	15573.7916666667	1.15839620808848	0.999522122208252
9	16558	15481.4285860069	15480.375	1.05358600688357	1.01521121650661
10	16102	15403.125240267	15402.125	1.00024026700605	1.04518903397975
11	15055	15369.0788522917	15368.125	0.953852291688182	1.02701963828301
12	15484	15343.7184722735	15342.7083333333	1.01013894014375	0.999079436775482
13	14596	15292.0767350704	15291.0833333333	0.993401737044577	0.960883386334689
14	14609	15192.596292378	15191.625	0.971292378001498	0.990070856499903
15	13923	15092.5309767174	15091.5833333333	0.947643384106802	0.973538390168768
16	14226	14971.9345105339	14971	0.934510533934951	1.01682869331325
17	14056	14807.6619500028	14806.75	0.911950002792141	1.04095265148808
18	14278	14627.533434077	14626.5833333333	0.950100743680647	1.02743612062171
19	16142	14465.2815541733	14464.1666666667	1.11488750662935	1.00099723245648
20	16509	14305.7833962081	14304.625	1.15839620808848	0.996293193191255
21	15680	14109.0952526735	14108.0416666667	1.05358600688357	1.05489523536847
22	14086	13880.7085736003	13879.7083333333	1.00024026700605	1.0146190448467
23	13129	13620.4955189584	13619.5416666667	0.953852291688182	1.01062032483669
24	13086	13349.5101389401	13348.5	1.01013894014375	0.970495077584976
25	13096	13088.0767350704	13087.0833333333	0.993401737044577	1.00732794805943
26	12280	12844.3046257113	12843.3333333333	0.971292378001498	0.984397793994014
27	11534	12560.1143100508	12559.1666666667	0.947643384106802	0.969112484407731
28	11135	12273.0178438673	12272.0833333333	0.934510533934951	0.970929562480421
29	10903	12035.7869500028	12034.875	0.911950002792141	0.993421143885238
30	10926	11839.158434077	11838.2083333333	0.950100743680647	0.971416687112151
31	13220	11660.44822084	11659.3333333333	1.11488750662935	1.01701342925978
32	13581	11482.2417295414	11481.0833333333	1.15839620808848	1.0211551989401
33	11788	11349.4702526735	11348.4166666667	1.05358600688357	0.985904525979201
34	11088	11249.000240267	11248	1.00024026700605	0.985538456558841
35	10434	11134.6205189584	11133.6666666667	0.953852291688182	0.982497581962083
36	11061	11030.9268056068	11029.9166666667	1.01013894014375	0.992752633685687
37	10828	10944.0350684037	10943.0416666667	0.993401737044577	0.996059493690026
38	10270	10851.9296257113	10850.9583333333	0.971292378001498	0.974433861033461
39	10360	10777.3643100508	10776.4166666667	0.947643384106802	1.01447288949051
40	9899	10730.3928438673	10729.4583333333	0.934510533934951	0.987254962703186
41	9395	10703.2036166695	10702.2916666667	0.911950002792141	0.962606905619318
42	9944	10703.4501007437	10702.5	0.950100743680647	0.977926514030854
43	12117	10741.1148875066	10740	1.11488750662935	1.01195168462667
44	12474	10824.5333962081	10823.375	1.15839620808848	0.994914835168391
45	11106	10931.0119193402	10929.9583333333	1.05358600688357	0.964426574730561
46	10643	11045.9585736003	11044.9583333333	1.00024026700605	0.963375608253417
47	10227	11183.4538522917	11182.5	0.953852291688182	0.958800433337219
48	11273	11343.5934722735	11342.5833333333	1.01013894014375	0.98388970231471
49	11516	11507.993401737	11507	0.993401737044577	1.00742941681611
50	11583	11674.5546257113	11673.5833333333	0.971292378001498	1.02156707613849
51	11605	11851.7393100508	11850.7916666667	0.947643384106802	1.0333628548919
52	11414	12031.2261772006	12030.2916666667	0.934510533934951	1.01526054827475
53	11181	12222.0786166695	12221.1666666667	0.911950002792141	1.00322177879432
54	12000	12431.033434077	12430.0833333333	0.950100743680647	1.01610256524758
55	14007	12615.44822084	12614.3333333333	1.11488750662935	0.995978071897694
56	14582	12753.9083962081	12752.75	1.15839620808848	0.987088564592548
57	13251	12853.9702526735	12852.9166666667	1.05358600688357	0.978536361515705
58	12806	12929.9585736003	12928.9583333333	1.00024026700605	0.990251770461843
59	12645	12997.3288522917	12996.375	0.953852291688182	1.02003593568155
60	13869	13042.7601389401	13041.75	1.01013894014375	1.05275706373969
61	13342	13075.0350684037	13074.0416666667	0.993401737044577	1.02727366920029
62	13079	13093.346292378	13092.375	0.971292378001498	1.02850432643468
63	12513	13094.1559767174	13093.2083333333	0.947643384106802	1.00848729514163
64	12331	13082.2678438673	13081.3333333333	0.934510533934951	1.00870014732893
65	11882	13046.1619500028	13045.25	0.911950002792141	0.998771434313596
66	12388	12960.6167674103	12959.6666666667	0.950100743680647	1.00609202708825
67	14394	NA	NA	1.11488750662935	NA
68	14635	NA	NA	1.15839620808848	NA
69	13218	NA	NA	1.05358600688357	NA
70	12554	NA	NA	1.00024026700605	NA
71	12031	NA	NA	0.953852291688182	NA
72	12429	NA	NA	1.01013894014375	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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