Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 18 Aug 2014 07:45:26 +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/2014/Aug/18/t14083445819an5bbve3088jg8.htm/, Retrieved Thu, 16 May 2024 05:38:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235676, Retrieved Thu, 16 May 2024 05:38:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [] [2013-02-26 20:31:34] [f974b105a61ab974a820d469d59cfaf7]
- RMPD  [Harrell-Davis Quantiles] [] [2014-08-18 05:22:13] [f974b105a61ab974a820d469d59cfaf7]
- RMP     [(Partial) Autocorrelation Function] [] [2014-08-18 06:01:25] [f974b105a61ab974a820d469d59cfaf7]
- RMP         [Classical Decomposition] [] [2014-08-18 06:45:26] [8f84a338303fe8d74ac0d8ad91c8b331] [Current]
Feedback Forum

Post a new message
Dataseries X:
95870
95523
95208
94541
101097
100781
95870
92581
92928
92928
93244
93910
93559
96190
97172
96190
99799
97488
92261
90964
90964
91599
89004
90964
89319
90964
93559
94541
96852
95870
89981
87670
86692
87670
86057
86692
84728
88021
89635
89981
96190
96190
88021
86057
86057
87039
82764
80799
78524
79186
82133
79821
86057
87039
80799
78524
77221
78524
74910
73613
68390
69688
70004
70355
76559
75893
68390
65097
63799
65444
59208
54964
47115
47777
47777
47115
52684
53004
46448
45151
42524
46133
39577
35653
28146
29764
27800
28462
33373
34355
31093
30742
30742
35017
27484
22573
14058
20929
19946
20293
28146
27164
23555
25204
25204
31093
24222
20293
14058
22258
21595
21911
28782
28146
25835
26186
27800
31409
25835
21275




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235676&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235676&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235676&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
195870NANA0.842453NA
295523NANA0.940243NA
395208NANA0.94781NA
494541NANA0.960087NA
5101097NANA1.10323NA
6100781NANA1.11016NA
79587097090.395277.11.019030.987431
89258196767.695208.61.016370.956735
99292896963.995318.31.017260.958377
109292810443895468.81.093950.889794
119324495298.995483.40.9980670.978437
129391090655.295292.10.951341.0359
139355980036.895004.50.8424531.16895
149619089122.694786.80.9402431.0793
159717289698.594637.60.947811.08332
169619090728.694500.40.9600871.06019
179979910399994268.31.103230.959613
189748810432093968.91.110160.934505
199226195452.193669.51.019030.966569
209096494802.493275.11.016370.959511
219096494510.892906.81.017260.962472
229159910139592687.51.093950.903387
238900492317.3924960.9980670.96411
249096487814.292305.80.951341.03587
258931977626.592143.40.8424531.15063
269096486418.891911.20.9402431.0526
279355986815.591595.90.947811.07768
28945418761291254.20.9600871.07909
299685210035890967.71.103230.965066
309587010065590666.91.110160.952464
31899819201690297.61.019030.977884
328767091457.289983.71.016370.958591
338669291246.289697.61.017260.950089
348767097737.689344.11.093950.896994
358605788954.389126.50.9980670.96743
36866928477689112.20.951341.0226
378472875015.389043.90.8424531.12948
388802183582.9888950.9402431.0531
398963584166.988801.40.947811.06497
408998185206.488748.60.9600871.05604
419619097729.388585.11.103230.984249
429619097918.788202.41.110160.982346
438802189367.387698.31.019030.984935
448605788497.587071.71.016370.972423
458605787882.5863911.017260.979228
46870399370285655.11.093950.928892
478276484645.684809.50.9980670.97777
488079979918.3840060.951341.01102
497852470196.483323.80.8424531.11863
507918677766.6827090.9402431.01825
518213377746820270.947811.05643
527982178059813040.9600871.02257
538605788944.2806221.103230.967539
548703988807.579995.31.110160.980086
558079980782.379273.71.019031.00021
567852479740.478455.71.016370.984746
577722178893.577554.51.017260.9788
587852483856.176654.81.093950.936414
59749107571875864.60.9980670.989329
607361371354.775004.40.951341.03165
616839062360.8740230.8424531.09668
626968868587.472946.50.9402431.01605
637000468079.171827.80.947811.02827
647035567900.770723.50.9600871.03614
657655976700.969524.21.103230.99815
667589375594680931.110161.00396
676839067693.666429.51.019031.01029
686509765688.3646301.016370.990998
696379963875627911.017260.99881
706544466617.560896.51.093950.982385
715920858819.558933.40.9980671.00661
72549645421256984.90.951341.01387
734711546433.455116.90.8424531.01468
744777750182.253371.60.9402430.95207
754777748958.2516540.947810.975873
764711547968.8499630.9600870.982201
775268453330.348340.41.103230.987881
785300451864.246717.81.110161.02198
794644845981.545122.81.019031.01015
804515144295.543581.91.016371.01931
814252442724.1419991.017260.995317
824613344183.840389.41.093951.04412
833957738732.538807.50.9980671.0218
843565335414.537225.90.951341.00674
852814630167.4358090.8424530.932993
862976432503.134568.90.9402430.915727
872780031730.433477.60.947810.876132
882846231225.432523.50.9600870.911501
893337334813.931556.51.103230.958612
903435533868.330507.61.110161.01437
913109329934.629375.61.019031.0387
923074228885.828420.51.016371.06426
933074228203.827725.11.017261.09
943501729599.427057.51.093951.18303
952748426448.126499.30.9980671.03917
962257324717.625981.90.951340.913236
971405821371.525368.20.8424530.657792
98209292334024823.30.9402430.896703
991994623090.424361.80.947810.863822
100202932301123967.60.9600870.881884
1012814626111.323668.21.103231.07792
1022716426019.123437.21.110161.044
1032355523786.523342.21.019030.990269
1042520423780.823397.61.016371.05985
1052520423927.823521.71.017261.05334
1063109325880.423657.81.093951.20141
1072422223705.823751.80.9980671.02177
1082029322660.123819.20.951340.895538
109140582018123955.10.8424530.696595
1102225822651.4240910.9402430.982633
111215952297524240.10.947810.939935
1122191123389.124361.40.9600870.936804
1132878226964.824441.81.103231.06739
1142814627254.324549.91.110161.03272
11525835NANA1.01903NA
11626186NANA1.01637NA
11727800NANA1.01726NA
11831409NANA1.09395NA
11925835NANA0.998067NA
12021275NANA0.95134NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 95870 & NA & NA & 0.842453 & NA \tabularnewline
2 & 95523 & NA & NA & 0.940243 & NA \tabularnewline
3 & 95208 & NA & NA & 0.94781 & NA \tabularnewline
4 & 94541 & NA & NA & 0.960087 & NA \tabularnewline
5 & 101097 & NA & NA & 1.10323 & NA \tabularnewline
6 & 100781 & NA & NA & 1.11016 & NA \tabularnewline
7 & 95870 & 97090.3 & 95277.1 & 1.01903 & 0.987431 \tabularnewline
8 & 92581 & 96767.6 & 95208.6 & 1.01637 & 0.956735 \tabularnewline
9 & 92928 & 96963.9 & 95318.3 & 1.01726 & 0.958377 \tabularnewline
10 & 92928 & 104438 & 95468.8 & 1.09395 & 0.889794 \tabularnewline
11 & 93244 & 95298.9 & 95483.4 & 0.998067 & 0.978437 \tabularnewline
12 & 93910 & 90655.2 & 95292.1 & 0.95134 & 1.0359 \tabularnewline
13 & 93559 & 80036.8 & 95004.5 & 0.842453 & 1.16895 \tabularnewline
14 & 96190 & 89122.6 & 94786.8 & 0.940243 & 1.0793 \tabularnewline
15 & 97172 & 89698.5 & 94637.6 & 0.94781 & 1.08332 \tabularnewline
16 & 96190 & 90728.6 & 94500.4 & 0.960087 & 1.06019 \tabularnewline
17 & 99799 & 103999 & 94268.3 & 1.10323 & 0.959613 \tabularnewline
18 & 97488 & 104320 & 93968.9 & 1.11016 & 0.934505 \tabularnewline
19 & 92261 & 95452.1 & 93669.5 & 1.01903 & 0.966569 \tabularnewline
20 & 90964 & 94802.4 & 93275.1 & 1.01637 & 0.959511 \tabularnewline
21 & 90964 & 94510.8 & 92906.8 & 1.01726 & 0.962472 \tabularnewline
22 & 91599 & 101395 & 92687.5 & 1.09395 & 0.903387 \tabularnewline
23 & 89004 & 92317.3 & 92496 & 0.998067 & 0.96411 \tabularnewline
24 & 90964 & 87814.2 & 92305.8 & 0.95134 & 1.03587 \tabularnewline
25 & 89319 & 77626.5 & 92143.4 & 0.842453 & 1.15063 \tabularnewline
26 & 90964 & 86418.8 & 91911.2 & 0.940243 & 1.0526 \tabularnewline
27 & 93559 & 86815.5 & 91595.9 & 0.94781 & 1.07768 \tabularnewline
28 & 94541 & 87612 & 91254.2 & 0.960087 & 1.07909 \tabularnewline
29 & 96852 & 100358 & 90967.7 & 1.10323 & 0.965066 \tabularnewline
30 & 95870 & 100655 & 90666.9 & 1.11016 & 0.952464 \tabularnewline
31 & 89981 & 92016 & 90297.6 & 1.01903 & 0.977884 \tabularnewline
32 & 87670 & 91457.2 & 89983.7 & 1.01637 & 0.958591 \tabularnewline
33 & 86692 & 91246.2 & 89697.6 & 1.01726 & 0.950089 \tabularnewline
34 & 87670 & 97737.6 & 89344.1 & 1.09395 & 0.896994 \tabularnewline
35 & 86057 & 88954.3 & 89126.5 & 0.998067 & 0.96743 \tabularnewline
36 & 86692 & 84776 & 89112.2 & 0.95134 & 1.0226 \tabularnewline
37 & 84728 & 75015.3 & 89043.9 & 0.842453 & 1.12948 \tabularnewline
38 & 88021 & 83582.9 & 88895 & 0.940243 & 1.0531 \tabularnewline
39 & 89635 & 84166.9 & 88801.4 & 0.94781 & 1.06497 \tabularnewline
40 & 89981 & 85206.4 & 88748.6 & 0.960087 & 1.05604 \tabularnewline
41 & 96190 & 97729.3 & 88585.1 & 1.10323 & 0.984249 \tabularnewline
42 & 96190 & 97918.7 & 88202.4 & 1.11016 & 0.982346 \tabularnewline
43 & 88021 & 89367.3 & 87698.3 & 1.01903 & 0.984935 \tabularnewline
44 & 86057 & 88497.5 & 87071.7 & 1.01637 & 0.972423 \tabularnewline
45 & 86057 & 87882.5 & 86391 & 1.01726 & 0.979228 \tabularnewline
46 & 87039 & 93702 & 85655.1 & 1.09395 & 0.928892 \tabularnewline
47 & 82764 & 84645.6 & 84809.5 & 0.998067 & 0.97777 \tabularnewline
48 & 80799 & 79918.3 & 84006 & 0.95134 & 1.01102 \tabularnewline
49 & 78524 & 70196.4 & 83323.8 & 0.842453 & 1.11863 \tabularnewline
50 & 79186 & 77766.6 & 82709 & 0.940243 & 1.01825 \tabularnewline
51 & 82133 & 77746 & 82027 & 0.94781 & 1.05643 \tabularnewline
52 & 79821 & 78059 & 81304 & 0.960087 & 1.02257 \tabularnewline
53 & 86057 & 88944.2 & 80622 & 1.10323 & 0.967539 \tabularnewline
54 & 87039 & 88807.5 & 79995.3 & 1.11016 & 0.980086 \tabularnewline
55 & 80799 & 80782.3 & 79273.7 & 1.01903 & 1.00021 \tabularnewline
56 & 78524 & 79740.4 & 78455.7 & 1.01637 & 0.984746 \tabularnewline
57 & 77221 & 78893.5 & 77554.5 & 1.01726 & 0.9788 \tabularnewline
58 & 78524 & 83856.1 & 76654.8 & 1.09395 & 0.936414 \tabularnewline
59 & 74910 & 75718 & 75864.6 & 0.998067 & 0.989329 \tabularnewline
60 & 73613 & 71354.7 & 75004.4 & 0.95134 & 1.03165 \tabularnewline
61 & 68390 & 62360.8 & 74023 & 0.842453 & 1.09668 \tabularnewline
62 & 69688 & 68587.4 & 72946.5 & 0.940243 & 1.01605 \tabularnewline
63 & 70004 & 68079.1 & 71827.8 & 0.94781 & 1.02827 \tabularnewline
64 & 70355 & 67900.7 & 70723.5 & 0.960087 & 1.03614 \tabularnewline
65 & 76559 & 76700.9 & 69524.2 & 1.10323 & 0.99815 \tabularnewline
66 & 75893 & 75594 & 68093 & 1.11016 & 1.00396 \tabularnewline
67 & 68390 & 67693.6 & 66429.5 & 1.01903 & 1.01029 \tabularnewline
68 & 65097 & 65688.3 & 64630 & 1.01637 & 0.990998 \tabularnewline
69 & 63799 & 63875 & 62791 & 1.01726 & 0.99881 \tabularnewline
70 & 65444 & 66617.5 & 60896.5 & 1.09395 & 0.982385 \tabularnewline
71 & 59208 & 58819.5 & 58933.4 & 0.998067 & 1.00661 \tabularnewline
72 & 54964 & 54212 & 56984.9 & 0.95134 & 1.01387 \tabularnewline
73 & 47115 & 46433.4 & 55116.9 & 0.842453 & 1.01468 \tabularnewline
74 & 47777 & 50182.2 & 53371.6 & 0.940243 & 0.95207 \tabularnewline
75 & 47777 & 48958.2 & 51654 & 0.94781 & 0.975873 \tabularnewline
76 & 47115 & 47968.8 & 49963 & 0.960087 & 0.982201 \tabularnewline
77 & 52684 & 53330.3 & 48340.4 & 1.10323 & 0.987881 \tabularnewline
78 & 53004 & 51864.2 & 46717.8 & 1.11016 & 1.02198 \tabularnewline
79 & 46448 & 45981.5 & 45122.8 & 1.01903 & 1.01015 \tabularnewline
80 & 45151 & 44295.5 & 43581.9 & 1.01637 & 1.01931 \tabularnewline
81 & 42524 & 42724.1 & 41999 & 1.01726 & 0.995317 \tabularnewline
82 & 46133 & 44183.8 & 40389.4 & 1.09395 & 1.04412 \tabularnewline
83 & 39577 & 38732.5 & 38807.5 & 0.998067 & 1.0218 \tabularnewline
84 & 35653 & 35414.5 & 37225.9 & 0.95134 & 1.00674 \tabularnewline
85 & 28146 & 30167.4 & 35809 & 0.842453 & 0.932993 \tabularnewline
86 & 29764 & 32503.1 & 34568.9 & 0.940243 & 0.915727 \tabularnewline
87 & 27800 & 31730.4 & 33477.6 & 0.94781 & 0.876132 \tabularnewline
88 & 28462 & 31225.4 & 32523.5 & 0.960087 & 0.911501 \tabularnewline
89 & 33373 & 34813.9 & 31556.5 & 1.10323 & 0.958612 \tabularnewline
90 & 34355 & 33868.3 & 30507.6 & 1.11016 & 1.01437 \tabularnewline
91 & 31093 & 29934.6 & 29375.6 & 1.01903 & 1.0387 \tabularnewline
92 & 30742 & 28885.8 & 28420.5 & 1.01637 & 1.06426 \tabularnewline
93 & 30742 & 28203.8 & 27725.1 & 1.01726 & 1.09 \tabularnewline
94 & 35017 & 29599.4 & 27057.5 & 1.09395 & 1.18303 \tabularnewline
95 & 27484 & 26448.1 & 26499.3 & 0.998067 & 1.03917 \tabularnewline
96 & 22573 & 24717.6 & 25981.9 & 0.95134 & 0.913236 \tabularnewline
97 & 14058 & 21371.5 & 25368.2 & 0.842453 & 0.657792 \tabularnewline
98 & 20929 & 23340 & 24823.3 & 0.940243 & 0.896703 \tabularnewline
99 & 19946 & 23090.4 & 24361.8 & 0.94781 & 0.863822 \tabularnewline
100 & 20293 & 23011 & 23967.6 & 0.960087 & 0.881884 \tabularnewline
101 & 28146 & 26111.3 & 23668.2 & 1.10323 & 1.07792 \tabularnewline
102 & 27164 & 26019.1 & 23437.2 & 1.11016 & 1.044 \tabularnewline
103 & 23555 & 23786.5 & 23342.2 & 1.01903 & 0.990269 \tabularnewline
104 & 25204 & 23780.8 & 23397.6 & 1.01637 & 1.05985 \tabularnewline
105 & 25204 & 23927.8 & 23521.7 & 1.01726 & 1.05334 \tabularnewline
106 & 31093 & 25880.4 & 23657.8 & 1.09395 & 1.20141 \tabularnewline
107 & 24222 & 23705.8 & 23751.8 & 0.998067 & 1.02177 \tabularnewline
108 & 20293 & 22660.1 & 23819.2 & 0.95134 & 0.895538 \tabularnewline
109 & 14058 & 20181 & 23955.1 & 0.842453 & 0.696595 \tabularnewline
110 & 22258 & 22651.4 & 24091 & 0.940243 & 0.982633 \tabularnewline
111 & 21595 & 22975 & 24240.1 & 0.94781 & 0.939935 \tabularnewline
112 & 21911 & 23389.1 & 24361.4 & 0.960087 & 0.936804 \tabularnewline
113 & 28782 & 26964.8 & 24441.8 & 1.10323 & 1.06739 \tabularnewline
114 & 28146 & 27254.3 & 24549.9 & 1.11016 & 1.03272 \tabularnewline
115 & 25835 & NA & NA & 1.01903 & NA \tabularnewline
116 & 26186 & NA & NA & 1.01637 & NA \tabularnewline
117 & 27800 & NA & NA & 1.01726 & NA \tabularnewline
118 & 31409 & NA & NA & 1.09395 & NA \tabularnewline
119 & 25835 & NA & NA & 0.998067 & NA \tabularnewline
120 & 21275 & NA & NA & 0.95134 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235676&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]95870[/C][C]NA[/C][C]NA[/C][C]0.842453[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]95523[/C][C]NA[/C][C]NA[/C][C]0.940243[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]95208[/C][C]NA[/C][C]NA[/C][C]0.94781[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]94541[/C][C]NA[/C][C]NA[/C][C]0.960087[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101097[/C][C]NA[/C][C]NA[/C][C]1.10323[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]100781[/C][C]NA[/C][C]NA[/C][C]1.11016[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]95870[/C][C]97090.3[/C][C]95277.1[/C][C]1.01903[/C][C]0.987431[/C][/ROW]
[ROW][C]8[/C][C]92581[/C][C]96767.6[/C][C]95208.6[/C][C]1.01637[/C][C]0.956735[/C][/ROW]
[ROW][C]9[/C][C]92928[/C][C]96963.9[/C][C]95318.3[/C][C]1.01726[/C][C]0.958377[/C][/ROW]
[ROW][C]10[/C][C]92928[/C][C]104438[/C][C]95468.8[/C][C]1.09395[/C][C]0.889794[/C][/ROW]
[ROW][C]11[/C][C]93244[/C][C]95298.9[/C][C]95483.4[/C][C]0.998067[/C][C]0.978437[/C][/ROW]
[ROW][C]12[/C][C]93910[/C][C]90655.2[/C][C]95292.1[/C][C]0.95134[/C][C]1.0359[/C][/ROW]
[ROW][C]13[/C][C]93559[/C][C]80036.8[/C][C]95004.5[/C][C]0.842453[/C][C]1.16895[/C][/ROW]
[ROW][C]14[/C][C]96190[/C][C]89122.6[/C][C]94786.8[/C][C]0.940243[/C][C]1.0793[/C][/ROW]
[ROW][C]15[/C][C]97172[/C][C]89698.5[/C][C]94637.6[/C][C]0.94781[/C][C]1.08332[/C][/ROW]
[ROW][C]16[/C][C]96190[/C][C]90728.6[/C][C]94500.4[/C][C]0.960087[/C][C]1.06019[/C][/ROW]
[ROW][C]17[/C][C]99799[/C][C]103999[/C][C]94268.3[/C][C]1.10323[/C][C]0.959613[/C][/ROW]
[ROW][C]18[/C][C]97488[/C][C]104320[/C][C]93968.9[/C][C]1.11016[/C][C]0.934505[/C][/ROW]
[ROW][C]19[/C][C]92261[/C][C]95452.1[/C][C]93669.5[/C][C]1.01903[/C][C]0.966569[/C][/ROW]
[ROW][C]20[/C][C]90964[/C][C]94802.4[/C][C]93275.1[/C][C]1.01637[/C][C]0.959511[/C][/ROW]
[ROW][C]21[/C][C]90964[/C][C]94510.8[/C][C]92906.8[/C][C]1.01726[/C][C]0.962472[/C][/ROW]
[ROW][C]22[/C][C]91599[/C][C]101395[/C][C]92687.5[/C][C]1.09395[/C][C]0.903387[/C][/ROW]
[ROW][C]23[/C][C]89004[/C][C]92317.3[/C][C]92496[/C][C]0.998067[/C][C]0.96411[/C][/ROW]
[ROW][C]24[/C][C]90964[/C][C]87814.2[/C][C]92305.8[/C][C]0.95134[/C][C]1.03587[/C][/ROW]
[ROW][C]25[/C][C]89319[/C][C]77626.5[/C][C]92143.4[/C][C]0.842453[/C][C]1.15063[/C][/ROW]
[ROW][C]26[/C][C]90964[/C][C]86418.8[/C][C]91911.2[/C][C]0.940243[/C][C]1.0526[/C][/ROW]
[ROW][C]27[/C][C]93559[/C][C]86815.5[/C][C]91595.9[/C][C]0.94781[/C][C]1.07768[/C][/ROW]
[ROW][C]28[/C][C]94541[/C][C]87612[/C][C]91254.2[/C][C]0.960087[/C][C]1.07909[/C][/ROW]
[ROW][C]29[/C][C]96852[/C][C]100358[/C][C]90967.7[/C][C]1.10323[/C][C]0.965066[/C][/ROW]
[ROW][C]30[/C][C]95870[/C][C]100655[/C][C]90666.9[/C][C]1.11016[/C][C]0.952464[/C][/ROW]
[ROW][C]31[/C][C]89981[/C][C]92016[/C][C]90297.6[/C][C]1.01903[/C][C]0.977884[/C][/ROW]
[ROW][C]32[/C][C]87670[/C][C]91457.2[/C][C]89983.7[/C][C]1.01637[/C][C]0.958591[/C][/ROW]
[ROW][C]33[/C][C]86692[/C][C]91246.2[/C][C]89697.6[/C][C]1.01726[/C][C]0.950089[/C][/ROW]
[ROW][C]34[/C][C]87670[/C][C]97737.6[/C][C]89344.1[/C][C]1.09395[/C][C]0.896994[/C][/ROW]
[ROW][C]35[/C][C]86057[/C][C]88954.3[/C][C]89126.5[/C][C]0.998067[/C][C]0.96743[/C][/ROW]
[ROW][C]36[/C][C]86692[/C][C]84776[/C][C]89112.2[/C][C]0.95134[/C][C]1.0226[/C][/ROW]
[ROW][C]37[/C][C]84728[/C][C]75015.3[/C][C]89043.9[/C][C]0.842453[/C][C]1.12948[/C][/ROW]
[ROW][C]38[/C][C]88021[/C][C]83582.9[/C][C]88895[/C][C]0.940243[/C][C]1.0531[/C][/ROW]
[ROW][C]39[/C][C]89635[/C][C]84166.9[/C][C]88801.4[/C][C]0.94781[/C][C]1.06497[/C][/ROW]
[ROW][C]40[/C][C]89981[/C][C]85206.4[/C][C]88748.6[/C][C]0.960087[/C][C]1.05604[/C][/ROW]
[ROW][C]41[/C][C]96190[/C][C]97729.3[/C][C]88585.1[/C][C]1.10323[/C][C]0.984249[/C][/ROW]
[ROW][C]42[/C][C]96190[/C][C]97918.7[/C][C]88202.4[/C][C]1.11016[/C][C]0.982346[/C][/ROW]
[ROW][C]43[/C][C]88021[/C][C]89367.3[/C][C]87698.3[/C][C]1.01903[/C][C]0.984935[/C][/ROW]
[ROW][C]44[/C][C]86057[/C][C]88497.5[/C][C]87071.7[/C][C]1.01637[/C][C]0.972423[/C][/ROW]
[ROW][C]45[/C][C]86057[/C][C]87882.5[/C][C]86391[/C][C]1.01726[/C][C]0.979228[/C][/ROW]
[ROW][C]46[/C][C]87039[/C][C]93702[/C][C]85655.1[/C][C]1.09395[/C][C]0.928892[/C][/ROW]
[ROW][C]47[/C][C]82764[/C][C]84645.6[/C][C]84809.5[/C][C]0.998067[/C][C]0.97777[/C][/ROW]
[ROW][C]48[/C][C]80799[/C][C]79918.3[/C][C]84006[/C][C]0.95134[/C][C]1.01102[/C][/ROW]
[ROW][C]49[/C][C]78524[/C][C]70196.4[/C][C]83323.8[/C][C]0.842453[/C][C]1.11863[/C][/ROW]
[ROW][C]50[/C][C]79186[/C][C]77766.6[/C][C]82709[/C][C]0.940243[/C][C]1.01825[/C][/ROW]
[ROW][C]51[/C][C]82133[/C][C]77746[/C][C]82027[/C][C]0.94781[/C][C]1.05643[/C][/ROW]
[ROW][C]52[/C][C]79821[/C][C]78059[/C][C]81304[/C][C]0.960087[/C][C]1.02257[/C][/ROW]
[ROW][C]53[/C][C]86057[/C][C]88944.2[/C][C]80622[/C][C]1.10323[/C][C]0.967539[/C][/ROW]
[ROW][C]54[/C][C]87039[/C][C]88807.5[/C][C]79995.3[/C][C]1.11016[/C][C]0.980086[/C][/ROW]
[ROW][C]55[/C][C]80799[/C][C]80782.3[/C][C]79273.7[/C][C]1.01903[/C][C]1.00021[/C][/ROW]
[ROW][C]56[/C][C]78524[/C][C]79740.4[/C][C]78455.7[/C][C]1.01637[/C][C]0.984746[/C][/ROW]
[ROW][C]57[/C][C]77221[/C][C]78893.5[/C][C]77554.5[/C][C]1.01726[/C][C]0.9788[/C][/ROW]
[ROW][C]58[/C][C]78524[/C][C]83856.1[/C][C]76654.8[/C][C]1.09395[/C][C]0.936414[/C][/ROW]
[ROW][C]59[/C][C]74910[/C][C]75718[/C][C]75864.6[/C][C]0.998067[/C][C]0.989329[/C][/ROW]
[ROW][C]60[/C][C]73613[/C][C]71354.7[/C][C]75004.4[/C][C]0.95134[/C][C]1.03165[/C][/ROW]
[ROW][C]61[/C][C]68390[/C][C]62360.8[/C][C]74023[/C][C]0.842453[/C][C]1.09668[/C][/ROW]
[ROW][C]62[/C][C]69688[/C][C]68587.4[/C][C]72946.5[/C][C]0.940243[/C][C]1.01605[/C][/ROW]
[ROW][C]63[/C][C]70004[/C][C]68079.1[/C][C]71827.8[/C][C]0.94781[/C][C]1.02827[/C][/ROW]
[ROW][C]64[/C][C]70355[/C][C]67900.7[/C][C]70723.5[/C][C]0.960087[/C][C]1.03614[/C][/ROW]
[ROW][C]65[/C][C]76559[/C][C]76700.9[/C][C]69524.2[/C][C]1.10323[/C][C]0.99815[/C][/ROW]
[ROW][C]66[/C][C]75893[/C][C]75594[/C][C]68093[/C][C]1.11016[/C][C]1.00396[/C][/ROW]
[ROW][C]67[/C][C]68390[/C][C]67693.6[/C][C]66429.5[/C][C]1.01903[/C][C]1.01029[/C][/ROW]
[ROW][C]68[/C][C]65097[/C][C]65688.3[/C][C]64630[/C][C]1.01637[/C][C]0.990998[/C][/ROW]
[ROW][C]69[/C][C]63799[/C][C]63875[/C][C]62791[/C][C]1.01726[/C][C]0.99881[/C][/ROW]
[ROW][C]70[/C][C]65444[/C][C]66617.5[/C][C]60896.5[/C][C]1.09395[/C][C]0.982385[/C][/ROW]
[ROW][C]71[/C][C]59208[/C][C]58819.5[/C][C]58933.4[/C][C]0.998067[/C][C]1.00661[/C][/ROW]
[ROW][C]72[/C][C]54964[/C][C]54212[/C][C]56984.9[/C][C]0.95134[/C][C]1.01387[/C][/ROW]
[ROW][C]73[/C][C]47115[/C][C]46433.4[/C][C]55116.9[/C][C]0.842453[/C][C]1.01468[/C][/ROW]
[ROW][C]74[/C][C]47777[/C][C]50182.2[/C][C]53371.6[/C][C]0.940243[/C][C]0.95207[/C][/ROW]
[ROW][C]75[/C][C]47777[/C][C]48958.2[/C][C]51654[/C][C]0.94781[/C][C]0.975873[/C][/ROW]
[ROW][C]76[/C][C]47115[/C][C]47968.8[/C][C]49963[/C][C]0.960087[/C][C]0.982201[/C][/ROW]
[ROW][C]77[/C][C]52684[/C][C]53330.3[/C][C]48340.4[/C][C]1.10323[/C][C]0.987881[/C][/ROW]
[ROW][C]78[/C][C]53004[/C][C]51864.2[/C][C]46717.8[/C][C]1.11016[/C][C]1.02198[/C][/ROW]
[ROW][C]79[/C][C]46448[/C][C]45981.5[/C][C]45122.8[/C][C]1.01903[/C][C]1.01015[/C][/ROW]
[ROW][C]80[/C][C]45151[/C][C]44295.5[/C][C]43581.9[/C][C]1.01637[/C][C]1.01931[/C][/ROW]
[ROW][C]81[/C][C]42524[/C][C]42724.1[/C][C]41999[/C][C]1.01726[/C][C]0.995317[/C][/ROW]
[ROW][C]82[/C][C]46133[/C][C]44183.8[/C][C]40389.4[/C][C]1.09395[/C][C]1.04412[/C][/ROW]
[ROW][C]83[/C][C]39577[/C][C]38732.5[/C][C]38807.5[/C][C]0.998067[/C][C]1.0218[/C][/ROW]
[ROW][C]84[/C][C]35653[/C][C]35414.5[/C][C]37225.9[/C][C]0.95134[/C][C]1.00674[/C][/ROW]
[ROW][C]85[/C][C]28146[/C][C]30167.4[/C][C]35809[/C][C]0.842453[/C][C]0.932993[/C][/ROW]
[ROW][C]86[/C][C]29764[/C][C]32503.1[/C][C]34568.9[/C][C]0.940243[/C][C]0.915727[/C][/ROW]
[ROW][C]87[/C][C]27800[/C][C]31730.4[/C][C]33477.6[/C][C]0.94781[/C][C]0.876132[/C][/ROW]
[ROW][C]88[/C][C]28462[/C][C]31225.4[/C][C]32523.5[/C][C]0.960087[/C][C]0.911501[/C][/ROW]
[ROW][C]89[/C][C]33373[/C][C]34813.9[/C][C]31556.5[/C][C]1.10323[/C][C]0.958612[/C][/ROW]
[ROW][C]90[/C][C]34355[/C][C]33868.3[/C][C]30507.6[/C][C]1.11016[/C][C]1.01437[/C][/ROW]
[ROW][C]91[/C][C]31093[/C][C]29934.6[/C][C]29375.6[/C][C]1.01903[/C][C]1.0387[/C][/ROW]
[ROW][C]92[/C][C]30742[/C][C]28885.8[/C][C]28420.5[/C][C]1.01637[/C][C]1.06426[/C][/ROW]
[ROW][C]93[/C][C]30742[/C][C]28203.8[/C][C]27725.1[/C][C]1.01726[/C][C]1.09[/C][/ROW]
[ROW][C]94[/C][C]35017[/C][C]29599.4[/C][C]27057.5[/C][C]1.09395[/C][C]1.18303[/C][/ROW]
[ROW][C]95[/C][C]27484[/C][C]26448.1[/C][C]26499.3[/C][C]0.998067[/C][C]1.03917[/C][/ROW]
[ROW][C]96[/C][C]22573[/C][C]24717.6[/C][C]25981.9[/C][C]0.95134[/C][C]0.913236[/C][/ROW]
[ROW][C]97[/C][C]14058[/C][C]21371.5[/C][C]25368.2[/C][C]0.842453[/C][C]0.657792[/C][/ROW]
[ROW][C]98[/C][C]20929[/C][C]23340[/C][C]24823.3[/C][C]0.940243[/C][C]0.896703[/C][/ROW]
[ROW][C]99[/C][C]19946[/C][C]23090.4[/C][C]24361.8[/C][C]0.94781[/C][C]0.863822[/C][/ROW]
[ROW][C]100[/C][C]20293[/C][C]23011[/C][C]23967.6[/C][C]0.960087[/C][C]0.881884[/C][/ROW]
[ROW][C]101[/C][C]28146[/C][C]26111.3[/C][C]23668.2[/C][C]1.10323[/C][C]1.07792[/C][/ROW]
[ROW][C]102[/C][C]27164[/C][C]26019.1[/C][C]23437.2[/C][C]1.11016[/C][C]1.044[/C][/ROW]
[ROW][C]103[/C][C]23555[/C][C]23786.5[/C][C]23342.2[/C][C]1.01903[/C][C]0.990269[/C][/ROW]
[ROW][C]104[/C][C]25204[/C][C]23780.8[/C][C]23397.6[/C][C]1.01637[/C][C]1.05985[/C][/ROW]
[ROW][C]105[/C][C]25204[/C][C]23927.8[/C][C]23521.7[/C][C]1.01726[/C][C]1.05334[/C][/ROW]
[ROW][C]106[/C][C]31093[/C][C]25880.4[/C][C]23657.8[/C][C]1.09395[/C][C]1.20141[/C][/ROW]
[ROW][C]107[/C][C]24222[/C][C]23705.8[/C][C]23751.8[/C][C]0.998067[/C][C]1.02177[/C][/ROW]
[ROW][C]108[/C][C]20293[/C][C]22660.1[/C][C]23819.2[/C][C]0.95134[/C][C]0.895538[/C][/ROW]
[ROW][C]109[/C][C]14058[/C][C]20181[/C][C]23955.1[/C][C]0.842453[/C][C]0.696595[/C][/ROW]
[ROW][C]110[/C][C]22258[/C][C]22651.4[/C][C]24091[/C][C]0.940243[/C][C]0.982633[/C][/ROW]
[ROW][C]111[/C][C]21595[/C][C]22975[/C][C]24240.1[/C][C]0.94781[/C][C]0.939935[/C][/ROW]
[ROW][C]112[/C][C]21911[/C][C]23389.1[/C][C]24361.4[/C][C]0.960087[/C][C]0.936804[/C][/ROW]
[ROW][C]113[/C][C]28782[/C][C]26964.8[/C][C]24441.8[/C][C]1.10323[/C][C]1.06739[/C][/ROW]
[ROW][C]114[/C][C]28146[/C][C]27254.3[/C][C]24549.9[/C][C]1.11016[/C][C]1.03272[/C][/ROW]
[ROW][C]115[/C][C]25835[/C][C]NA[/C][C]NA[/C][C]1.01903[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]26186[/C][C]NA[/C][C]NA[/C][C]1.01637[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]27800[/C][C]NA[/C][C]NA[/C][C]1.01726[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]31409[/C][C]NA[/C][C]NA[/C][C]1.09395[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]25835[/C][C]NA[/C][C]NA[/C][C]0.998067[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]21275[/C][C]NA[/C][C]NA[/C][C]0.95134[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235676&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235676&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
tObservationsFitTrendSeasonalRandom
195870NANA0.842453NA
295523NANA0.940243NA
395208NANA0.94781NA
494541NANA0.960087NA
5101097NANA1.10323NA
6100781NANA1.11016NA
79587097090.395277.11.019030.987431
89258196767.695208.61.016370.956735
99292896963.995318.31.017260.958377
109292810443895468.81.093950.889794
119324495298.995483.40.9980670.978437
129391090655.295292.10.951341.0359
139355980036.895004.50.8424531.16895
149619089122.694786.80.9402431.0793
159717289698.594637.60.947811.08332
169619090728.694500.40.9600871.06019
179979910399994268.31.103230.959613
189748810432093968.91.110160.934505
199226195452.193669.51.019030.966569
209096494802.493275.11.016370.959511
219096494510.892906.81.017260.962472
229159910139592687.51.093950.903387
238900492317.3924960.9980670.96411
249096487814.292305.80.951341.03587
258931977626.592143.40.8424531.15063
269096486418.891911.20.9402431.0526
279355986815.591595.90.947811.07768
28945418761291254.20.9600871.07909
299685210035890967.71.103230.965066
309587010065590666.91.110160.952464
31899819201690297.61.019030.977884
328767091457.289983.71.016370.958591
338669291246.289697.61.017260.950089
348767097737.689344.11.093950.896994
358605788954.389126.50.9980670.96743
36866928477689112.20.951341.0226
378472875015.389043.90.8424531.12948
388802183582.9888950.9402431.0531
398963584166.988801.40.947811.06497
408998185206.488748.60.9600871.05604
419619097729.388585.11.103230.984249
429619097918.788202.41.110160.982346
438802189367.387698.31.019030.984935
448605788497.587071.71.016370.972423
458605787882.5863911.017260.979228
46870399370285655.11.093950.928892
478276484645.684809.50.9980670.97777
488079979918.3840060.951341.01102
497852470196.483323.80.8424531.11863
507918677766.6827090.9402431.01825
518213377746820270.947811.05643
527982178059813040.9600871.02257
538605788944.2806221.103230.967539
548703988807.579995.31.110160.980086
558079980782.379273.71.019031.00021
567852479740.478455.71.016370.984746
577722178893.577554.51.017260.9788
587852483856.176654.81.093950.936414
59749107571875864.60.9980670.989329
607361371354.775004.40.951341.03165
616839062360.8740230.8424531.09668
626968868587.472946.50.9402431.01605
637000468079.171827.80.947811.02827
647035567900.770723.50.9600871.03614
657655976700.969524.21.103230.99815
667589375594680931.110161.00396
676839067693.666429.51.019031.01029
686509765688.3646301.016370.990998
696379963875627911.017260.99881
706544466617.560896.51.093950.982385
715920858819.558933.40.9980671.00661
72549645421256984.90.951341.01387
734711546433.455116.90.8424531.01468
744777750182.253371.60.9402430.95207
754777748958.2516540.947810.975873
764711547968.8499630.9600870.982201
775268453330.348340.41.103230.987881
785300451864.246717.81.110161.02198
794644845981.545122.81.019031.01015
804515144295.543581.91.016371.01931
814252442724.1419991.017260.995317
824613344183.840389.41.093951.04412
833957738732.538807.50.9980671.0218
843565335414.537225.90.951341.00674
852814630167.4358090.8424530.932993
862976432503.134568.90.9402430.915727
872780031730.433477.60.947810.876132
882846231225.432523.50.9600870.911501
893337334813.931556.51.103230.958612
903435533868.330507.61.110161.01437
913109329934.629375.61.019031.0387
923074228885.828420.51.016371.06426
933074228203.827725.11.017261.09
943501729599.427057.51.093951.18303
952748426448.126499.30.9980671.03917
962257324717.625981.90.951340.913236
971405821371.525368.20.8424530.657792
98209292334024823.30.9402430.896703
991994623090.424361.80.947810.863822
100202932301123967.60.9600870.881884
1012814626111.323668.21.103231.07792
1022716426019.123437.21.110161.044
1032355523786.523342.21.019030.990269
1042520423780.823397.61.016371.05985
1052520423927.823521.71.017261.05334
1063109325880.423657.81.093951.20141
1072422223705.823751.80.9980671.02177
1082029322660.123819.20.951340.895538
109140582018123955.10.8424530.696595
1102225822651.4240910.9402430.982633
111215952297524240.10.947810.939935
1122191123389.124361.40.9600870.936804
1132878226964.824441.81.103231.06739
1142814627254.324549.91.110161.03272
11525835NANA1.01903NA
11626186NANA1.01637NA
11727800NANA1.01726NA
11831409NANA1.09395NA
11925835NANA0.998067NA
12021275NANA0.95134NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')