FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 16 Aug 2015 15:57:59 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Aug/16/t143973709487osnjq8smazjoi.htm/, Retrieved Sun, 19 May 2024 14:41:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280163, Retrieved Sun, 19 May 2024 14:41:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Harrell-Davis Quantiles] [] [2015-08-16 11:51:51] [5343960adb8d445e466af62727587ca0]
- RMP   [(Partial) Autocorrelation Function] [] [2015-08-16 14:18:56] [5343960adb8d445e466af62727587ca0]
- R P     [(Partial) Autocorrelation Function] [] [2015-08-16 14:25:26] [5343960adb8d445e466af62727587ca0]
- RMP         [Classical Decomposition] [] [2015-08-16 14:57:59] [4168690ed296bafce351d6d353c439d5] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5204472
5185089
5165433
5124756
5527158
5505864
5204472
5004090
5023473
5023473
5045040
5083806
5144139
5144139
5105373
5004090
5527158
5606874
5486481
5204472
5325138
5144139
5225766
5264805
5305482
5204472
5225766
5083806
5527158
5667207
5546814
5325138
5566197
5305482
5546814
5527158
5587491
5365815
5606874
5587491
5949216
5867589
5546814
5385198
5606874
5305482
5527158
5566197
5647824
5467098
5566197
5626530
5848206
5667207
5426148
5165433
5406765
4743375
5064423
5245149
5426148
5165433
5165433
5165433
5305482
5105373
4842747
4622982
4782414
4159974
4541355
4763031
4803708
4582032
4601415
4541355
4743375
4601415
4321590
4119297
4461366
3718533
4200924
4420689
4420689
4159974
3918915
3899532
4119297
3918915
3537807
3275181
3557190
2894073
3496857
3817632
3918915
3697239
3417141
3617523
3697239
3636906
3033849
2754024
2954133
2351349
2973789
3195465
3376191
3074799
2792790
2954133
3033849
2874417
2271633
2009007
2250066
1586949
2310399
2754024

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280163&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280163&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280163&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
15204472NANA180597NA
25185089NANA11420.4NA
35165433NANA-13106.6NA
45124756NANA24530.7NA
55527158NANA305444NA
65505864NANA239437NA
7520447251457605172250-26488.758714.1
8500409049274505168030-24057876641.1
9502347351470805163820-16741.6-123603
10502347347119505156290-444338311523
11504504050592105151260-92051.7-14168.1
1250838065227340515547071874.7-143537
13514413953520205171430180597-207886
1451441395202950519153011420.4-58808.6
15510537351993405212450-13106.6-93966.2
1650040905254570523004024530.7-250484
17552715855480405242600305444-20886.9
18560687454971105257670239437109764
19548648152454505271940-26488.7241033
20520447250406005281170-240578163876
21532513852719605288700-16741.653175.7
22514413948527005297040-444338291435
23522576652083105300360-92051.717454.4
2452648055374750530288071874.7-109947
25530548254885005307900180597-183020
2652044725326870531545011420.4-122395
27522576653174105330520-13106.6-91645.7
2850838065371820534729024530.7-288010
29552715856728305367380305444-145671
3056672075631130539169023943736076.5
31554681453878905414370-26488.7158928
32532513851922705432850-240578132868
33556619754387105455450-16741.6127489
34530548250479805492320-444338257504
35554681454388405530890-92051.7107977
3655271585628700555682071874.7-101541
37558749157457705565170180597-158279
3853658155579100556768011420.4-213281
39560687455587705571870-13106.648107.5
4055874915598100557357024530.7-10607.7
4159492165878190557275030544471023.1
4258675895812990557356023943754595
43554681455512105577700-26488.7-4394.44
44538519853438505584430-24057841344.4
45560687455702105586960-16741.636659.2
46530548251425505586890-444338162932
47552715854922505584310-92051.734903.7
4855661975643620557175071874.7-77425.7
49564782457389705558370180597-91144
5054670985555610554419011420.4-88508.8
51556619755135805526690-13106.652612
5256265305519460549493024530.7107067
5358482065757670545223030544490531.2
545667207565901054195702394378196.42
55542614853704705396960-26488.755676.9
56516543351345805375150-24057830856.7
57540676553291405345890-16741.677620.6
58474337548656405309980-444338-122262
59506442351761005268150-92051.7-111675
6052451495294000522213071874.7-48851.7
6154261485355000517441018059771143.1
6251654335138920512750011420.426515.2
63516543350657705078880-13106.699659
6451654335053090502856024530.7112345
6553054825287900498245030544417583.3
66510537351800104940570239437-74636.3
67484274748680604894550-26488.7-25313.1
68462298246037304844310-24057819254.2
69478241447797504796500-16741.62659.33
70415997443026504746990-444338-142680
71454135546055204697570-92051.7-64161.2
7247630314725020465315071874.738007.8
7348037084791030461044018059712675.6
7445820324579150456773011420.42877.98
75460141545202604533370-13106.681151.9
7645413554526130450160024530.715224.9
77474337547744704469020305444-31090.3
78460141546800104440570239437-78594.8
79432159043838604410350-26488.7-62270.4
80411929741362304376800-240578-16929.7
81446136643140404330780-16741.6147327
82371853338312604275600-444338-112730
83420092441308004222860-92051.770120.7
8444206894240290416841071874.7180400
85442068942879204107320180597132773
8641599744050910403949011420.4109064
87391891539535403966640-13106.6-34622.9
8838995323919150389462024530.7-19616.7
89411929741363703830930305444-17076.3
90391891540159003776470239437-96988.2
91353780737039403730430-26488.7-166136
92327518134496703690240-240578-174485
93355719036333103650060-16741.6-76123.9
94289407331730603617400-444338-278987
95349685734960103588060-92051.7846.911
9638176323630600355873071874.7187032
97391891537065703525980180597212341
9836972393494680348326011420.4202555
99341714134233103436420-13106.6-6173.99
10036175233413210338868024530.7204312
10136972393649720334427030544447522.3
102363690635359903296550239437100914
103303384932215303248020-26488.7-187680
104275402429588903199470-240578-204867
105295413331307803147520-16741.6-176645
106235134926495303093860-444338-298177
107297378929465303038580-92051.727259.7
10831954653051040297917071874.7144421
109337619130962402915640180597279954
11030747992864260285284011420.4210540
111279279027793502792460-13106.613436.5
11229541332755800273127024530.7198328
11330338492977230267178030544456622.3
1142874417286519026257502394379231.55
1152271633NANA-26488.7NA
1162009007NANA-240578NA
1172250066NANA-16741.6NA
1181586949NANA-444338NA
1192310399NANA-92051.7NA
1202754024NANA71874.7NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5204472 & NA & NA & 180597 & NA \tabularnewline
2 & 5185089 & NA & NA & 11420.4 & NA \tabularnewline
3 & 5165433 & NA & NA & -13106.6 & NA \tabularnewline
4 & 5124756 & NA & NA & 24530.7 & NA \tabularnewline
5 & 5527158 & NA & NA & 305444 & NA \tabularnewline
6 & 5505864 & NA & NA & 239437 & NA \tabularnewline
7 & 5204472 & 5145760 & 5172250 & -26488.7 & 58714.1 \tabularnewline
8 & 5004090 & 4927450 & 5168030 & -240578 & 76641.1 \tabularnewline
9 & 5023473 & 5147080 & 5163820 & -16741.6 & -123603 \tabularnewline
10 & 5023473 & 4711950 & 5156290 & -444338 & 311523 \tabularnewline
11 & 5045040 & 5059210 & 5151260 & -92051.7 & -14168.1 \tabularnewline
12 & 5083806 & 5227340 & 5155470 & 71874.7 & -143537 \tabularnewline
13 & 5144139 & 5352020 & 5171430 & 180597 & -207886 \tabularnewline
14 & 5144139 & 5202950 & 5191530 & 11420.4 & -58808.6 \tabularnewline
15 & 5105373 & 5199340 & 5212450 & -13106.6 & -93966.2 \tabularnewline
16 & 5004090 & 5254570 & 5230040 & 24530.7 & -250484 \tabularnewline
17 & 5527158 & 5548040 & 5242600 & 305444 & -20886.9 \tabularnewline
18 & 5606874 & 5497110 & 5257670 & 239437 & 109764 \tabularnewline
19 & 5486481 & 5245450 & 5271940 & -26488.7 & 241033 \tabularnewline
20 & 5204472 & 5040600 & 5281170 & -240578 & 163876 \tabularnewline
21 & 5325138 & 5271960 & 5288700 & -16741.6 & 53175.7 \tabularnewline
22 & 5144139 & 4852700 & 5297040 & -444338 & 291435 \tabularnewline
23 & 5225766 & 5208310 & 5300360 & -92051.7 & 17454.4 \tabularnewline
24 & 5264805 & 5374750 & 5302880 & 71874.7 & -109947 \tabularnewline
25 & 5305482 & 5488500 & 5307900 & 180597 & -183020 \tabularnewline
26 & 5204472 & 5326870 & 5315450 & 11420.4 & -122395 \tabularnewline
27 & 5225766 & 5317410 & 5330520 & -13106.6 & -91645.7 \tabularnewline
28 & 5083806 & 5371820 & 5347290 & 24530.7 & -288010 \tabularnewline
29 & 5527158 & 5672830 & 5367380 & 305444 & -145671 \tabularnewline
30 & 5667207 & 5631130 & 5391690 & 239437 & 36076.5 \tabularnewline
31 & 5546814 & 5387890 & 5414370 & -26488.7 & 158928 \tabularnewline
32 & 5325138 & 5192270 & 5432850 & -240578 & 132868 \tabularnewline
33 & 5566197 & 5438710 & 5455450 & -16741.6 & 127489 \tabularnewline
34 & 5305482 & 5047980 & 5492320 & -444338 & 257504 \tabularnewline
35 & 5546814 & 5438840 & 5530890 & -92051.7 & 107977 \tabularnewline
36 & 5527158 & 5628700 & 5556820 & 71874.7 & -101541 \tabularnewline
37 & 5587491 & 5745770 & 5565170 & 180597 & -158279 \tabularnewline
38 & 5365815 & 5579100 & 5567680 & 11420.4 & -213281 \tabularnewline
39 & 5606874 & 5558770 & 5571870 & -13106.6 & 48107.5 \tabularnewline
40 & 5587491 & 5598100 & 5573570 & 24530.7 & -10607.7 \tabularnewline
41 & 5949216 & 5878190 & 5572750 & 305444 & 71023.1 \tabularnewline
42 & 5867589 & 5812990 & 5573560 & 239437 & 54595 \tabularnewline
43 & 5546814 & 5551210 & 5577700 & -26488.7 & -4394.44 \tabularnewline
44 & 5385198 & 5343850 & 5584430 & -240578 & 41344.4 \tabularnewline
45 & 5606874 & 5570210 & 5586960 & -16741.6 & 36659.2 \tabularnewline
46 & 5305482 & 5142550 & 5586890 & -444338 & 162932 \tabularnewline
47 & 5527158 & 5492250 & 5584310 & -92051.7 & 34903.7 \tabularnewline
48 & 5566197 & 5643620 & 5571750 & 71874.7 & -77425.7 \tabularnewline
49 & 5647824 & 5738970 & 5558370 & 180597 & -91144 \tabularnewline
50 & 5467098 & 5555610 & 5544190 & 11420.4 & -88508.8 \tabularnewline
51 & 5566197 & 5513580 & 5526690 & -13106.6 & 52612 \tabularnewline
52 & 5626530 & 5519460 & 5494930 & 24530.7 & 107067 \tabularnewline
53 & 5848206 & 5757670 & 5452230 & 305444 & 90531.2 \tabularnewline
54 & 5667207 & 5659010 & 5419570 & 239437 & 8196.42 \tabularnewline
55 & 5426148 & 5370470 & 5396960 & -26488.7 & 55676.9 \tabularnewline
56 & 5165433 & 5134580 & 5375150 & -240578 & 30856.7 \tabularnewline
57 & 5406765 & 5329140 & 5345890 & -16741.6 & 77620.6 \tabularnewline
58 & 4743375 & 4865640 & 5309980 & -444338 & -122262 \tabularnewline
59 & 5064423 & 5176100 & 5268150 & -92051.7 & -111675 \tabularnewline
60 & 5245149 & 5294000 & 5222130 & 71874.7 & -48851.7 \tabularnewline
61 & 5426148 & 5355000 & 5174410 & 180597 & 71143.1 \tabularnewline
62 & 5165433 & 5138920 & 5127500 & 11420.4 & 26515.2 \tabularnewline
63 & 5165433 & 5065770 & 5078880 & -13106.6 & 99659 \tabularnewline
64 & 5165433 & 5053090 & 5028560 & 24530.7 & 112345 \tabularnewline
65 & 5305482 & 5287900 & 4982450 & 305444 & 17583.3 \tabularnewline
66 & 5105373 & 5180010 & 4940570 & 239437 & -74636.3 \tabularnewline
67 & 4842747 & 4868060 & 4894550 & -26488.7 & -25313.1 \tabularnewline
68 & 4622982 & 4603730 & 4844310 & -240578 & 19254.2 \tabularnewline
69 & 4782414 & 4779750 & 4796500 & -16741.6 & 2659.33 \tabularnewline
70 & 4159974 & 4302650 & 4746990 & -444338 & -142680 \tabularnewline
71 & 4541355 & 4605520 & 4697570 & -92051.7 & -64161.2 \tabularnewline
72 & 4763031 & 4725020 & 4653150 & 71874.7 & 38007.8 \tabularnewline
73 & 4803708 & 4791030 & 4610440 & 180597 & 12675.6 \tabularnewline
74 & 4582032 & 4579150 & 4567730 & 11420.4 & 2877.98 \tabularnewline
75 & 4601415 & 4520260 & 4533370 & -13106.6 & 81151.9 \tabularnewline
76 & 4541355 & 4526130 & 4501600 & 24530.7 & 15224.9 \tabularnewline
77 & 4743375 & 4774470 & 4469020 & 305444 & -31090.3 \tabularnewline
78 & 4601415 & 4680010 & 4440570 & 239437 & -78594.8 \tabularnewline
79 & 4321590 & 4383860 & 4410350 & -26488.7 & -62270.4 \tabularnewline
80 & 4119297 & 4136230 & 4376800 & -240578 & -16929.7 \tabularnewline
81 & 4461366 & 4314040 & 4330780 & -16741.6 & 147327 \tabularnewline
82 & 3718533 & 3831260 & 4275600 & -444338 & -112730 \tabularnewline
83 & 4200924 & 4130800 & 4222860 & -92051.7 & 70120.7 \tabularnewline
84 & 4420689 & 4240290 & 4168410 & 71874.7 & 180400 \tabularnewline
85 & 4420689 & 4287920 & 4107320 & 180597 & 132773 \tabularnewline
86 & 4159974 & 4050910 & 4039490 & 11420.4 & 109064 \tabularnewline
87 & 3918915 & 3953540 & 3966640 & -13106.6 & -34622.9 \tabularnewline
88 & 3899532 & 3919150 & 3894620 & 24530.7 & -19616.7 \tabularnewline
89 & 4119297 & 4136370 & 3830930 & 305444 & -17076.3 \tabularnewline
90 & 3918915 & 4015900 & 3776470 & 239437 & -96988.2 \tabularnewline
91 & 3537807 & 3703940 & 3730430 & -26488.7 & -166136 \tabularnewline
92 & 3275181 & 3449670 & 3690240 & -240578 & -174485 \tabularnewline
93 & 3557190 & 3633310 & 3650060 & -16741.6 & -76123.9 \tabularnewline
94 & 2894073 & 3173060 & 3617400 & -444338 & -278987 \tabularnewline
95 & 3496857 & 3496010 & 3588060 & -92051.7 & 846.911 \tabularnewline
96 & 3817632 & 3630600 & 3558730 & 71874.7 & 187032 \tabularnewline
97 & 3918915 & 3706570 & 3525980 & 180597 & 212341 \tabularnewline
98 & 3697239 & 3494680 & 3483260 & 11420.4 & 202555 \tabularnewline
99 & 3417141 & 3423310 & 3436420 & -13106.6 & -6173.99 \tabularnewline
100 & 3617523 & 3413210 & 3388680 & 24530.7 & 204312 \tabularnewline
101 & 3697239 & 3649720 & 3344270 & 305444 & 47522.3 \tabularnewline
102 & 3636906 & 3535990 & 3296550 & 239437 & 100914 \tabularnewline
103 & 3033849 & 3221530 & 3248020 & -26488.7 & -187680 \tabularnewline
104 & 2754024 & 2958890 & 3199470 & -240578 & -204867 \tabularnewline
105 & 2954133 & 3130780 & 3147520 & -16741.6 & -176645 \tabularnewline
106 & 2351349 & 2649530 & 3093860 & -444338 & -298177 \tabularnewline
107 & 2973789 & 2946530 & 3038580 & -92051.7 & 27259.7 \tabularnewline
108 & 3195465 & 3051040 & 2979170 & 71874.7 & 144421 \tabularnewline
109 & 3376191 & 3096240 & 2915640 & 180597 & 279954 \tabularnewline
110 & 3074799 & 2864260 & 2852840 & 11420.4 & 210540 \tabularnewline
111 & 2792790 & 2779350 & 2792460 & -13106.6 & 13436.5 \tabularnewline
112 & 2954133 & 2755800 & 2731270 & 24530.7 & 198328 \tabularnewline
113 & 3033849 & 2977230 & 2671780 & 305444 & 56622.3 \tabularnewline
114 & 2874417 & 2865190 & 2625750 & 239437 & 9231.55 \tabularnewline
115 & 2271633 & NA & NA & -26488.7 & NA \tabularnewline
116 & 2009007 & NA & NA & -240578 & NA \tabularnewline
117 & 2250066 & NA & NA & -16741.6 & NA \tabularnewline
118 & 1586949 & NA & NA & -444338 & NA \tabularnewline
119 & 2310399 & NA & NA & -92051.7 & NA \tabularnewline
120 & 2754024 & NA & NA & 71874.7 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280163&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]5204472[/C][C]NA[/C][C]NA[/C][C]180597[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5185089[/C][C]NA[/C][C]NA[/C][C]11420.4[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5165433[/C][C]NA[/C][C]NA[/C][C]-13106.6[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5124756[/C][C]NA[/C][C]NA[/C][C]24530.7[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5527158[/C][C]NA[/C][C]NA[/C][C]305444[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5505864[/C][C]NA[/C][C]NA[/C][C]239437[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5204472[/C][C]5145760[/C][C]5172250[/C][C]-26488.7[/C][C]58714.1[/C][/ROW]
[ROW][C]8[/C][C]5004090[/C][C]4927450[/C][C]5168030[/C][C]-240578[/C][C]76641.1[/C][/ROW]
[ROW][C]9[/C][C]5023473[/C][C]5147080[/C][C]5163820[/C][C]-16741.6[/C][C]-123603[/C][/ROW]
[ROW][C]10[/C][C]5023473[/C][C]4711950[/C][C]5156290[/C][C]-444338[/C][C]311523[/C][/ROW]
[ROW][C]11[/C][C]5045040[/C][C]5059210[/C][C]5151260[/C][C]-92051.7[/C][C]-14168.1[/C][/ROW]
[ROW][C]12[/C][C]5083806[/C][C]5227340[/C][C]5155470[/C][C]71874.7[/C][C]-143537[/C][/ROW]
[ROW][C]13[/C][C]5144139[/C][C]5352020[/C][C]5171430[/C][C]180597[/C][C]-207886[/C][/ROW]
[ROW][C]14[/C][C]5144139[/C][C]5202950[/C][C]5191530[/C][C]11420.4[/C][C]-58808.6[/C][/ROW]
[ROW][C]15[/C][C]5105373[/C][C]5199340[/C][C]5212450[/C][C]-13106.6[/C][C]-93966.2[/C][/ROW]
[ROW][C]16[/C][C]5004090[/C][C]5254570[/C][C]5230040[/C][C]24530.7[/C][C]-250484[/C][/ROW]
[ROW][C]17[/C][C]5527158[/C][C]5548040[/C][C]5242600[/C][C]305444[/C][C]-20886.9[/C][/ROW]
[ROW][C]18[/C][C]5606874[/C][C]5497110[/C][C]5257670[/C][C]239437[/C][C]109764[/C][/ROW]
[ROW][C]19[/C][C]5486481[/C][C]5245450[/C][C]5271940[/C][C]-26488.7[/C][C]241033[/C][/ROW]
[ROW][C]20[/C][C]5204472[/C][C]5040600[/C][C]5281170[/C][C]-240578[/C][C]163876[/C][/ROW]
[ROW][C]21[/C][C]5325138[/C][C]5271960[/C][C]5288700[/C][C]-16741.6[/C][C]53175.7[/C][/ROW]
[ROW][C]22[/C][C]5144139[/C][C]4852700[/C][C]5297040[/C][C]-444338[/C][C]291435[/C][/ROW]
[ROW][C]23[/C][C]5225766[/C][C]5208310[/C][C]5300360[/C][C]-92051.7[/C][C]17454.4[/C][/ROW]
[ROW][C]24[/C][C]5264805[/C][C]5374750[/C][C]5302880[/C][C]71874.7[/C][C]-109947[/C][/ROW]
[ROW][C]25[/C][C]5305482[/C][C]5488500[/C][C]5307900[/C][C]180597[/C][C]-183020[/C][/ROW]
[ROW][C]26[/C][C]5204472[/C][C]5326870[/C][C]5315450[/C][C]11420.4[/C][C]-122395[/C][/ROW]
[ROW][C]27[/C][C]5225766[/C][C]5317410[/C][C]5330520[/C][C]-13106.6[/C][C]-91645.7[/C][/ROW]
[ROW][C]28[/C][C]5083806[/C][C]5371820[/C][C]5347290[/C][C]24530.7[/C][C]-288010[/C][/ROW]
[ROW][C]29[/C][C]5527158[/C][C]5672830[/C][C]5367380[/C][C]305444[/C][C]-145671[/C][/ROW]
[ROW][C]30[/C][C]5667207[/C][C]5631130[/C][C]5391690[/C][C]239437[/C][C]36076.5[/C][/ROW]
[ROW][C]31[/C][C]5546814[/C][C]5387890[/C][C]5414370[/C][C]-26488.7[/C][C]158928[/C][/ROW]
[ROW][C]32[/C][C]5325138[/C][C]5192270[/C][C]5432850[/C][C]-240578[/C][C]132868[/C][/ROW]
[ROW][C]33[/C][C]5566197[/C][C]5438710[/C][C]5455450[/C][C]-16741.6[/C][C]127489[/C][/ROW]
[ROW][C]34[/C][C]5305482[/C][C]5047980[/C][C]5492320[/C][C]-444338[/C][C]257504[/C][/ROW]
[ROW][C]35[/C][C]5546814[/C][C]5438840[/C][C]5530890[/C][C]-92051.7[/C][C]107977[/C][/ROW]
[ROW][C]36[/C][C]5527158[/C][C]5628700[/C][C]5556820[/C][C]71874.7[/C][C]-101541[/C][/ROW]
[ROW][C]37[/C][C]5587491[/C][C]5745770[/C][C]5565170[/C][C]180597[/C][C]-158279[/C][/ROW]
[ROW][C]38[/C][C]5365815[/C][C]5579100[/C][C]5567680[/C][C]11420.4[/C][C]-213281[/C][/ROW]
[ROW][C]39[/C][C]5606874[/C][C]5558770[/C][C]5571870[/C][C]-13106.6[/C][C]48107.5[/C][/ROW]
[ROW][C]40[/C][C]5587491[/C][C]5598100[/C][C]5573570[/C][C]24530.7[/C][C]-10607.7[/C][/ROW]
[ROW][C]41[/C][C]5949216[/C][C]5878190[/C][C]5572750[/C][C]305444[/C][C]71023.1[/C][/ROW]
[ROW][C]42[/C][C]5867589[/C][C]5812990[/C][C]5573560[/C][C]239437[/C][C]54595[/C][/ROW]
[ROW][C]43[/C][C]5546814[/C][C]5551210[/C][C]5577700[/C][C]-26488.7[/C][C]-4394.44[/C][/ROW]
[ROW][C]44[/C][C]5385198[/C][C]5343850[/C][C]5584430[/C][C]-240578[/C][C]41344.4[/C][/ROW]
[ROW][C]45[/C][C]5606874[/C][C]5570210[/C][C]5586960[/C][C]-16741.6[/C][C]36659.2[/C][/ROW]
[ROW][C]46[/C][C]5305482[/C][C]5142550[/C][C]5586890[/C][C]-444338[/C][C]162932[/C][/ROW]
[ROW][C]47[/C][C]5527158[/C][C]5492250[/C][C]5584310[/C][C]-92051.7[/C][C]34903.7[/C][/ROW]
[ROW][C]48[/C][C]5566197[/C][C]5643620[/C][C]5571750[/C][C]71874.7[/C][C]-77425.7[/C][/ROW]
[ROW][C]49[/C][C]5647824[/C][C]5738970[/C][C]5558370[/C][C]180597[/C][C]-91144[/C][/ROW]
[ROW][C]50[/C][C]5467098[/C][C]5555610[/C][C]5544190[/C][C]11420.4[/C][C]-88508.8[/C][/ROW]
[ROW][C]51[/C][C]5566197[/C][C]5513580[/C][C]5526690[/C][C]-13106.6[/C][C]52612[/C][/ROW]
[ROW][C]52[/C][C]5626530[/C][C]5519460[/C][C]5494930[/C][C]24530.7[/C][C]107067[/C][/ROW]
[ROW][C]53[/C][C]5848206[/C][C]5757670[/C][C]5452230[/C][C]305444[/C][C]90531.2[/C][/ROW]
[ROW][C]54[/C][C]5667207[/C][C]5659010[/C][C]5419570[/C][C]239437[/C][C]8196.42[/C][/ROW]
[ROW][C]55[/C][C]5426148[/C][C]5370470[/C][C]5396960[/C][C]-26488.7[/C][C]55676.9[/C][/ROW]
[ROW][C]56[/C][C]5165433[/C][C]5134580[/C][C]5375150[/C][C]-240578[/C][C]30856.7[/C][/ROW]
[ROW][C]57[/C][C]5406765[/C][C]5329140[/C][C]5345890[/C][C]-16741.6[/C][C]77620.6[/C][/ROW]
[ROW][C]58[/C][C]4743375[/C][C]4865640[/C][C]5309980[/C][C]-444338[/C][C]-122262[/C][/ROW]
[ROW][C]59[/C][C]5064423[/C][C]5176100[/C][C]5268150[/C][C]-92051.7[/C][C]-111675[/C][/ROW]
[ROW][C]60[/C][C]5245149[/C][C]5294000[/C][C]5222130[/C][C]71874.7[/C][C]-48851.7[/C][/ROW]
[ROW][C]61[/C][C]5426148[/C][C]5355000[/C][C]5174410[/C][C]180597[/C][C]71143.1[/C][/ROW]
[ROW][C]62[/C][C]5165433[/C][C]5138920[/C][C]5127500[/C][C]11420.4[/C][C]26515.2[/C][/ROW]
[ROW][C]63[/C][C]5165433[/C][C]5065770[/C][C]5078880[/C][C]-13106.6[/C][C]99659[/C][/ROW]
[ROW][C]64[/C][C]5165433[/C][C]5053090[/C][C]5028560[/C][C]24530.7[/C][C]112345[/C][/ROW]
[ROW][C]65[/C][C]5305482[/C][C]5287900[/C][C]4982450[/C][C]305444[/C][C]17583.3[/C][/ROW]
[ROW][C]66[/C][C]5105373[/C][C]5180010[/C][C]4940570[/C][C]239437[/C][C]-74636.3[/C][/ROW]
[ROW][C]67[/C][C]4842747[/C][C]4868060[/C][C]4894550[/C][C]-26488.7[/C][C]-25313.1[/C][/ROW]
[ROW][C]68[/C][C]4622982[/C][C]4603730[/C][C]4844310[/C][C]-240578[/C][C]19254.2[/C][/ROW]
[ROW][C]69[/C][C]4782414[/C][C]4779750[/C][C]4796500[/C][C]-16741.6[/C][C]2659.33[/C][/ROW]
[ROW][C]70[/C][C]4159974[/C][C]4302650[/C][C]4746990[/C][C]-444338[/C][C]-142680[/C][/ROW]
[ROW][C]71[/C][C]4541355[/C][C]4605520[/C][C]4697570[/C][C]-92051.7[/C][C]-64161.2[/C][/ROW]
[ROW][C]72[/C][C]4763031[/C][C]4725020[/C][C]4653150[/C][C]71874.7[/C][C]38007.8[/C][/ROW]
[ROW][C]73[/C][C]4803708[/C][C]4791030[/C][C]4610440[/C][C]180597[/C][C]12675.6[/C][/ROW]
[ROW][C]74[/C][C]4582032[/C][C]4579150[/C][C]4567730[/C][C]11420.4[/C][C]2877.98[/C][/ROW]
[ROW][C]75[/C][C]4601415[/C][C]4520260[/C][C]4533370[/C][C]-13106.6[/C][C]81151.9[/C][/ROW]
[ROW][C]76[/C][C]4541355[/C][C]4526130[/C][C]4501600[/C][C]24530.7[/C][C]15224.9[/C][/ROW]
[ROW][C]77[/C][C]4743375[/C][C]4774470[/C][C]4469020[/C][C]305444[/C][C]-31090.3[/C][/ROW]
[ROW][C]78[/C][C]4601415[/C][C]4680010[/C][C]4440570[/C][C]239437[/C][C]-78594.8[/C][/ROW]
[ROW][C]79[/C][C]4321590[/C][C]4383860[/C][C]4410350[/C][C]-26488.7[/C][C]-62270.4[/C][/ROW]
[ROW][C]80[/C][C]4119297[/C][C]4136230[/C][C]4376800[/C][C]-240578[/C][C]-16929.7[/C][/ROW]
[ROW][C]81[/C][C]4461366[/C][C]4314040[/C][C]4330780[/C][C]-16741.6[/C][C]147327[/C][/ROW]
[ROW][C]82[/C][C]3718533[/C][C]3831260[/C][C]4275600[/C][C]-444338[/C][C]-112730[/C][/ROW]
[ROW][C]83[/C][C]4200924[/C][C]4130800[/C][C]4222860[/C][C]-92051.7[/C][C]70120.7[/C][/ROW]
[ROW][C]84[/C][C]4420689[/C][C]4240290[/C][C]4168410[/C][C]71874.7[/C][C]180400[/C][/ROW]
[ROW][C]85[/C][C]4420689[/C][C]4287920[/C][C]4107320[/C][C]180597[/C][C]132773[/C][/ROW]
[ROW][C]86[/C][C]4159974[/C][C]4050910[/C][C]4039490[/C][C]11420.4[/C][C]109064[/C][/ROW]
[ROW][C]87[/C][C]3918915[/C][C]3953540[/C][C]3966640[/C][C]-13106.6[/C][C]-34622.9[/C][/ROW]
[ROW][C]88[/C][C]3899532[/C][C]3919150[/C][C]3894620[/C][C]24530.7[/C][C]-19616.7[/C][/ROW]
[ROW][C]89[/C][C]4119297[/C][C]4136370[/C][C]3830930[/C][C]305444[/C][C]-17076.3[/C][/ROW]
[ROW][C]90[/C][C]3918915[/C][C]4015900[/C][C]3776470[/C][C]239437[/C][C]-96988.2[/C][/ROW]
[ROW][C]91[/C][C]3537807[/C][C]3703940[/C][C]3730430[/C][C]-26488.7[/C][C]-166136[/C][/ROW]
[ROW][C]92[/C][C]3275181[/C][C]3449670[/C][C]3690240[/C][C]-240578[/C][C]-174485[/C][/ROW]
[ROW][C]93[/C][C]3557190[/C][C]3633310[/C][C]3650060[/C][C]-16741.6[/C][C]-76123.9[/C][/ROW]
[ROW][C]94[/C][C]2894073[/C][C]3173060[/C][C]3617400[/C][C]-444338[/C][C]-278987[/C][/ROW]
[ROW][C]95[/C][C]3496857[/C][C]3496010[/C][C]3588060[/C][C]-92051.7[/C][C]846.911[/C][/ROW]
[ROW][C]96[/C][C]3817632[/C][C]3630600[/C][C]3558730[/C][C]71874.7[/C][C]187032[/C][/ROW]
[ROW][C]97[/C][C]3918915[/C][C]3706570[/C][C]3525980[/C][C]180597[/C][C]212341[/C][/ROW]
[ROW][C]98[/C][C]3697239[/C][C]3494680[/C][C]3483260[/C][C]11420.4[/C][C]202555[/C][/ROW]
[ROW][C]99[/C][C]3417141[/C][C]3423310[/C][C]3436420[/C][C]-13106.6[/C][C]-6173.99[/C][/ROW]
[ROW][C]100[/C][C]3617523[/C][C]3413210[/C][C]3388680[/C][C]24530.7[/C][C]204312[/C][/ROW]
[ROW][C]101[/C][C]3697239[/C][C]3649720[/C][C]3344270[/C][C]305444[/C][C]47522.3[/C][/ROW]
[ROW][C]102[/C][C]3636906[/C][C]3535990[/C][C]3296550[/C][C]239437[/C][C]100914[/C][/ROW]
[ROW][C]103[/C][C]3033849[/C][C]3221530[/C][C]3248020[/C][C]-26488.7[/C][C]-187680[/C][/ROW]
[ROW][C]104[/C][C]2754024[/C][C]2958890[/C][C]3199470[/C][C]-240578[/C][C]-204867[/C][/ROW]
[ROW][C]105[/C][C]2954133[/C][C]3130780[/C][C]3147520[/C][C]-16741.6[/C][C]-176645[/C][/ROW]
[ROW][C]106[/C][C]2351349[/C][C]2649530[/C][C]3093860[/C][C]-444338[/C][C]-298177[/C][/ROW]
[ROW][C]107[/C][C]2973789[/C][C]2946530[/C][C]3038580[/C][C]-92051.7[/C][C]27259.7[/C][/ROW]
[ROW][C]108[/C][C]3195465[/C][C]3051040[/C][C]2979170[/C][C]71874.7[/C][C]144421[/C][/ROW]
[ROW][C]109[/C][C]3376191[/C][C]3096240[/C][C]2915640[/C][C]180597[/C][C]279954[/C][/ROW]
[ROW][C]110[/C][C]3074799[/C][C]2864260[/C][C]2852840[/C][C]11420.4[/C][C]210540[/C][/ROW]
[ROW][C]111[/C][C]2792790[/C][C]2779350[/C][C]2792460[/C][C]-13106.6[/C][C]13436.5[/C][/ROW]
[ROW][C]112[/C][C]2954133[/C][C]2755800[/C][C]2731270[/C][C]24530.7[/C][C]198328[/C][/ROW]
[ROW][C]113[/C][C]3033849[/C][C]2977230[/C][C]2671780[/C][C]305444[/C][C]56622.3[/C][/ROW]
[ROW][C]114[/C][C]2874417[/C][C]2865190[/C][C]2625750[/C][C]239437[/C][C]9231.55[/C][/ROW]
[ROW][C]115[/C][C]2271633[/C][C]NA[/C][C]NA[/C][C]-26488.7[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]2009007[/C][C]NA[/C][C]NA[/C][C]-240578[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]2250066[/C][C]NA[/C][C]NA[/C][C]-16741.6[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]1586949[/C][C]NA[/C][C]NA[/C][C]-444338[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]2310399[/C][C]NA[/C][C]NA[/C][C]-92051.7[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]2754024[/C][C]NA[/C][C]NA[/C][C]71874.7[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280163&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280163&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
15204472NANA180597NA
25185089NANA11420.4NA
35165433NANA-13106.6NA
45124756NANA24530.7NA
55527158NANA305444NA
65505864NANA239437NA
7520447251457605172250-26488.758714.1
8500409049274505168030-24057876641.1
9502347351470805163820-16741.6-123603
10502347347119505156290-444338311523
11504504050592105151260-92051.7-14168.1
1250838065227340515547071874.7-143537
13514413953520205171430180597-207886
1451441395202950519153011420.4-58808.6
15510537351993405212450-13106.6-93966.2
1650040905254570523004024530.7-250484
17552715855480405242600305444-20886.9
18560687454971105257670239437109764
19548648152454505271940-26488.7241033
20520447250406005281170-240578163876
21532513852719605288700-16741.653175.7
22514413948527005297040-444338291435
23522576652083105300360-92051.717454.4
2452648055374750530288071874.7-109947
25530548254885005307900180597-183020
2652044725326870531545011420.4-122395
27522576653174105330520-13106.6-91645.7
2850838065371820534729024530.7-288010
29552715856728305367380305444-145671
3056672075631130539169023943736076.5
31554681453878905414370-26488.7158928
32532513851922705432850-240578132868
33556619754387105455450-16741.6127489
34530548250479805492320-444338257504
35554681454388405530890-92051.7107977
3655271585628700555682071874.7-101541
37558749157457705565170180597-158279
3853658155579100556768011420.4-213281
39560687455587705571870-13106.648107.5
4055874915598100557357024530.7-10607.7
4159492165878190557275030544471023.1
4258675895812990557356023943754595
43554681455512105577700-26488.7-4394.44
44538519853438505584430-24057841344.4
45560687455702105586960-16741.636659.2
46530548251425505586890-444338162932
47552715854922505584310-92051.734903.7
4855661975643620557175071874.7-77425.7
49564782457389705558370180597-91144
5054670985555610554419011420.4-88508.8
51556619755135805526690-13106.652612
5256265305519460549493024530.7107067
5358482065757670545223030544490531.2
545667207565901054195702394378196.42
55542614853704705396960-26488.755676.9
56516543351345805375150-24057830856.7
57540676553291405345890-16741.677620.6
58474337548656405309980-444338-122262
59506442351761005268150-92051.7-111675
6052451495294000522213071874.7-48851.7
6154261485355000517441018059771143.1
6251654335138920512750011420.426515.2
63516543350657705078880-13106.699659
6451654335053090502856024530.7112345
6553054825287900498245030544417583.3
66510537351800104940570239437-74636.3
67484274748680604894550-26488.7-25313.1
68462298246037304844310-24057819254.2
69478241447797504796500-16741.62659.33
70415997443026504746990-444338-142680
71454135546055204697570-92051.7-64161.2
7247630314725020465315071874.738007.8
7348037084791030461044018059712675.6
7445820324579150456773011420.42877.98
75460141545202604533370-13106.681151.9
7645413554526130450160024530.715224.9
77474337547744704469020305444-31090.3
78460141546800104440570239437-78594.8
79432159043838604410350-26488.7-62270.4
80411929741362304376800-240578-16929.7
81446136643140404330780-16741.6147327
82371853338312604275600-444338-112730
83420092441308004222860-92051.770120.7
8444206894240290416841071874.7180400
85442068942879204107320180597132773
8641599744050910403949011420.4109064
87391891539535403966640-13106.6-34622.9
8838995323919150389462024530.7-19616.7
89411929741363703830930305444-17076.3
90391891540159003776470239437-96988.2
91353780737039403730430-26488.7-166136
92327518134496703690240-240578-174485
93355719036333103650060-16741.6-76123.9
94289407331730603617400-444338-278987
95349685734960103588060-92051.7846.911
9638176323630600355873071874.7187032
97391891537065703525980180597212341
9836972393494680348326011420.4202555
99341714134233103436420-13106.6-6173.99
10036175233413210338868024530.7204312
10136972393649720334427030544447522.3
102363690635359903296550239437100914
103303384932215303248020-26488.7-187680
104275402429588903199470-240578-204867
105295413331307803147520-16741.6-176645
106235134926495303093860-444338-298177
107297378929465303038580-92051.727259.7
10831954653051040297917071874.7144421
109337619130962402915640180597279954
11030747992864260285284011420.4210540
111279279027793502792460-13106.613436.5
11229541332755800273127024530.7198328
11330338492977230267178030544456622.3
1142874417286519026257502394379231.55
1152271633NANA-26488.7NA
1162009007NANA-240578NA
1172250066NANA-16741.6NA
1181586949NANA-444338NA
1192310399NANA-92051.7NA
1202754024NANA71874.7NA


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; 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')