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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 17 Aug 2015 00:32:07 +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/17/t1439767996ox2ke6dlu05fih3.htm/, Retrieved Wed, 15 May 2024 04:42:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280230, Retrieved Wed, 15 May 2024 04:42:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [] [2014-11-24 12:14:04] [46d78fa4bef23992fc20db72a2a0da97]
- RMPD  [Central Tendency] [] [2015-08-16 17:50:33] [46d78fa4bef23992fc20db72a2a0da97]
- RMPD    [Standard Deviation-Mean Plot] [] [2015-08-16 20:08:52] [46d78fa4bef23992fc20db72a2a0da97]
- RM D        [Classical Decomposition] [] [2015-08-16 23:32:07] [fced41568b3cc41e6659ad201d611503] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
193590
193745
193885
194040
194190
194345
194495
194650
194805
194955
195110
195260
195415
195570
195710
195865
196015
196170
196320
196475
196630
196780
196935
197085
197240
197395
197540
197695
197845
198000
198150
198305
198460
198610
198765
198915
199070
199225
199365
199520
199670
199825
199975
200130
200285
200435
200590
200740
200895
201050
201190
201345
201495
201650
201800
201955
202110
202260
202415
202565
202720
202875
203015
203170
203320
203475
203625
203780
203935
204085
204240
204390
204545
204700
204845
205000
205150
205305
205455
205610
205765
205915
206070
206220
206375
206530
206670
206825
206975
207130
207280
207435
207590
207740
207895
208045
208200
208355
208495
208650
208800
208955
209105
209260
209415
209565
209720
209870

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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280230&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280230&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280230&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 Maurice George Kendall' @ kendall.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1193590NANA3.48958NA
2193745NANA6.30208NA
3193885NANA-4.63542NA
4194040NANA-1.82292NA
5194190NANA-4.01042NA
6194345NANA-1.19792NA
7194495194495194499-3.38542-0.15625
8194650194650194651-0.572917-0.0520833
91948051948051948032.239580.0520833
101949551949551949550.05208330.15625
111951101951101951072.864580.260417
121952601952601952590.6770830.364583
131954151954151954113.489580.46875
141955701955691955636.302080.572917
15195710195711195715-4.63542-0.572917
16195865195865195867-1.82292-0.46875
17196015196015196019-4.01042-0.364583
18196170196170196171-1.19792-0.260417
19196320196320196324-3.38542-0.15625
20196475196475196476-0.572917-0.0520833
211966301966301966282.23958-0.15625
221967801967801967800.0520833-0.46875
231969351969361969332.86458-0.78125
241970851970861970850.677083-1.09375
251972401972411972383.48958-1.40625
261973951973971973906.30208-1.71875
27197540197538197543-4.635421.71875
28197695197694197695-1.822921.40625
29197845197844197848-4.010421.09375
30198000197999198000-1.197920.78125
31198150198150198153-3.385420.46875
32198305198305198305-0.5729170.15625
331984601984601984582.239580.0520833
341986101986101986100.05208330.15625
351987651987651987622.864580.260417
361989151989151989140.6770830.364583
371990701990701990663.489580.46875
381992251992241992186.302080.572917
39199365199366199370-4.63542-0.572917
40199520199520199522-1.82292-0.46875
41199670199670199674-4.01042-0.364583
42199825199825199826-1.19792-0.260417
43199975199975199979-3.38542-0.15625
44200130200130200131-0.572917-0.0520833
452002852002852002832.239580.0520833
462004352004352004350.05208330.15625
472005902005902005872.864580.260417
482007402007402007390.6770830.364583
492008952008952008913.489580.46875
502010502010492010436.302080.572917
51201190201191201195-4.63542-0.572917
52201345201345201347-1.82292-0.46875
53201495201495201499-4.01042-0.364583
54201650201650201651-1.19792-0.260417
55201800201800201804-3.38542-0.15625
56201955201955201956-0.572917-0.0520833
572021102021102021082.239580.0520833
582022602022602022600.05208330.15625
592024152024152024122.864580.260417
602025652025652025640.6770830.364583
612027202027202027163.489580.46875
622028752028742028686.302080.572917
63203015203016203020-4.63542-0.572917
64203170203170203172-1.82292-0.46875
65203320203320203324-4.01042-0.364583
66203475203475203476-1.19792-0.260417
67203625203625203629-3.38542-0.15625
68203780203780203781-0.572917-0.0520833
692039352039352039332.23958-0.15625
702040852040852040850.0520833-0.46875
712042402042412042382.86458-0.78125
722043902043912043900.677083-1.09375
732045452045462045433.48958-1.40625
742047002047022046956.30208-1.71875
75204845204843204848-4.635421.71875
76205000204999205000-1.822921.40625
77205150205149205153-4.010421.09375
78205305205304205305-1.197920.78125
79205455205455205458-3.385420.46875
80205610205610205610-0.5729170.15625
812057652057652057632.239580.0520833
822059152059152059150.05208330.15625
832060702060702060672.864580.260417
842062202062202062190.6770830.364583
852063752063752063713.489580.46875
862065302065292065236.302080.572917
87206670206671206675-4.63542-0.572917
88206825206825206827-1.82292-0.46875
89206975206975206979-4.01042-0.364583
90207130207130207131-1.19792-0.260417
91207280207280207284-3.38542-0.15625
92207435207435207436-0.572917-0.0520833
932075902075902075882.239580.0520833
942077402077402077400.05208330.15625
952078952078952078922.864580.260417
962080452080452080440.6770830.364583
972082002082002081963.489580.46875
982083552083542083486.302080.572917
99208495208496208500-4.63542-0.572917
100208650208650208652-1.82292-0.46875
101208800208800208804-4.01042-0.364583
102208955208955208956-1.19792-0.260417
103209105NANA-3.38542NA
104209260NANA-0.572917NA
105209415NANA2.23958NA
106209565NANA0.0520833NA
107209720NANA2.86458NA
108209870NANA0.677083NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 193590 & NA & NA & 3.48958 & NA \tabularnewline
2 & 193745 & NA & NA & 6.30208 & NA \tabularnewline
3 & 193885 & NA & NA & -4.63542 & NA \tabularnewline
4 & 194040 & NA & NA & -1.82292 & NA \tabularnewline
5 & 194190 & NA & NA & -4.01042 & NA \tabularnewline
6 & 194345 & NA & NA & -1.19792 & NA \tabularnewline
7 & 194495 & 194495 & 194499 & -3.38542 & -0.15625 \tabularnewline
8 & 194650 & 194650 & 194651 & -0.572917 & -0.0520833 \tabularnewline
9 & 194805 & 194805 & 194803 & 2.23958 & 0.0520833 \tabularnewline
10 & 194955 & 194955 & 194955 & 0.0520833 & 0.15625 \tabularnewline
11 & 195110 & 195110 & 195107 & 2.86458 & 0.260417 \tabularnewline
12 & 195260 & 195260 & 195259 & 0.677083 & 0.364583 \tabularnewline
13 & 195415 & 195415 & 195411 & 3.48958 & 0.46875 \tabularnewline
14 & 195570 & 195569 & 195563 & 6.30208 & 0.572917 \tabularnewline
15 & 195710 & 195711 & 195715 & -4.63542 & -0.572917 \tabularnewline
16 & 195865 & 195865 & 195867 & -1.82292 & -0.46875 \tabularnewline
17 & 196015 & 196015 & 196019 & -4.01042 & -0.364583 \tabularnewline
18 & 196170 & 196170 & 196171 & -1.19792 & -0.260417 \tabularnewline
19 & 196320 & 196320 & 196324 & -3.38542 & -0.15625 \tabularnewline
20 & 196475 & 196475 & 196476 & -0.572917 & -0.0520833 \tabularnewline
21 & 196630 & 196630 & 196628 & 2.23958 & -0.15625 \tabularnewline
22 & 196780 & 196780 & 196780 & 0.0520833 & -0.46875 \tabularnewline
23 & 196935 & 196936 & 196933 & 2.86458 & -0.78125 \tabularnewline
24 & 197085 & 197086 & 197085 & 0.677083 & -1.09375 \tabularnewline
25 & 197240 & 197241 & 197238 & 3.48958 & -1.40625 \tabularnewline
26 & 197395 & 197397 & 197390 & 6.30208 & -1.71875 \tabularnewline
27 & 197540 & 197538 & 197543 & -4.63542 & 1.71875 \tabularnewline
28 & 197695 & 197694 & 197695 & -1.82292 & 1.40625 \tabularnewline
29 & 197845 & 197844 & 197848 & -4.01042 & 1.09375 \tabularnewline
30 & 198000 & 197999 & 198000 & -1.19792 & 0.78125 \tabularnewline
31 & 198150 & 198150 & 198153 & -3.38542 & 0.46875 \tabularnewline
32 & 198305 & 198305 & 198305 & -0.572917 & 0.15625 \tabularnewline
33 & 198460 & 198460 & 198458 & 2.23958 & 0.0520833 \tabularnewline
34 & 198610 & 198610 & 198610 & 0.0520833 & 0.15625 \tabularnewline
35 & 198765 & 198765 & 198762 & 2.86458 & 0.260417 \tabularnewline
36 & 198915 & 198915 & 198914 & 0.677083 & 0.364583 \tabularnewline
37 & 199070 & 199070 & 199066 & 3.48958 & 0.46875 \tabularnewline
38 & 199225 & 199224 & 199218 & 6.30208 & 0.572917 \tabularnewline
39 & 199365 & 199366 & 199370 & -4.63542 & -0.572917 \tabularnewline
40 & 199520 & 199520 & 199522 & -1.82292 & -0.46875 \tabularnewline
41 & 199670 & 199670 & 199674 & -4.01042 & -0.364583 \tabularnewline
42 & 199825 & 199825 & 199826 & -1.19792 & -0.260417 \tabularnewline
43 & 199975 & 199975 & 199979 & -3.38542 & -0.15625 \tabularnewline
44 & 200130 & 200130 & 200131 & -0.572917 & -0.0520833 \tabularnewline
45 & 200285 & 200285 & 200283 & 2.23958 & 0.0520833 \tabularnewline
46 & 200435 & 200435 & 200435 & 0.0520833 & 0.15625 \tabularnewline
47 & 200590 & 200590 & 200587 & 2.86458 & 0.260417 \tabularnewline
48 & 200740 & 200740 & 200739 & 0.677083 & 0.364583 \tabularnewline
49 & 200895 & 200895 & 200891 & 3.48958 & 0.46875 \tabularnewline
50 & 201050 & 201049 & 201043 & 6.30208 & 0.572917 \tabularnewline
51 & 201190 & 201191 & 201195 & -4.63542 & -0.572917 \tabularnewline
52 & 201345 & 201345 & 201347 & -1.82292 & -0.46875 \tabularnewline
53 & 201495 & 201495 & 201499 & -4.01042 & -0.364583 \tabularnewline
54 & 201650 & 201650 & 201651 & -1.19792 & -0.260417 \tabularnewline
55 & 201800 & 201800 & 201804 & -3.38542 & -0.15625 \tabularnewline
56 & 201955 & 201955 & 201956 & -0.572917 & -0.0520833 \tabularnewline
57 & 202110 & 202110 & 202108 & 2.23958 & 0.0520833 \tabularnewline
58 & 202260 & 202260 & 202260 & 0.0520833 & 0.15625 \tabularnewline
59 & 202415 & 202415 & 202412 & 2.86458 & 0.260417 \tabularnewline
60 & 202565 & 202565 & 202564 & 0.677083 & 0.364583 \tabularnewline
61 & 202720 & 202720 & 202716 & 3.48958 & 0.46875 \tabularnewline
62 & 202875 & 202874 & 202868 & 6.30208 & 0.572917 \tabularnewline
63 & 203015 & 203016 & 203020 & -4.63542 & -0.572917 \tabularnewline
64 & 203170 & 203170 & 203172 & -1.82292 & -0.46875 \tabularnewline
65 & 203320 & 203320 & 203324 & -4.01042 & -0.364583 \tabularnewline
66 & 203475 & 203475 & 203476 & -1.19792 & -0.260417 \tabularnewline
67 & 203625 & 203625 & 203629 & -3.38542 & -0.15625 \tabularnewline
68 & 203780 & 203780 & 203781 & -0.572917 & -0.0520833 \tabularnewline
69 & 203935 & 203935 & 203933 & 2.23958 & -0.15625 \tabularnewline
70 & 204085 & 204085 & 204085 & 0.0520833 & -0.46875 \tabularnewline
71 & 204240 & 204241 & 204238 & 2.86458 & -0.78125 \tabularnewline
72 & 204390 & 204391 & 204390 & 0.677083 & -1.09375 \tabularnewline
73 & 204545 & 204546 & 204543 & 3.48958 & -1.40625 \tabularnewline
74 & 204700 & 204702 & 204695 & 6.30208 & -1.71875 \tabularnewline
75 & 204845 & 204843 & 204848 & -4.63542 & 1.71875 \tabularnewline
76 & 205000 & 204999 & 205000 & -1.82292 & 1.40625 \tabularnewline
77 & 205150 & 205149 & 205153 & -4.01042 & 1.09375 \tabularnewline
78 & 205305 & 205304 & 205305 & -1.19792 & 0.78125 \tabularnewline
79 & 205455 & 205455 & 205458 & -3.38542 & 0.46875 \tabularnewline
80 & 205610 & 205610 & 205610 & -0.572917 & 0.15625 \tabularnewline
81 & 205765 & 205765 & 205763 & 2.23958 & 0.0520833 \tabularnewline
82 & 205915 & 205915 & 205915 & 0.0520833 & 0.15625 \tabularnewline
83 & 206070 & 206070 & 206067 & 2.86458 & 0.260417 \tabularnewline
84 & 206220 & 206220 & 206219 & 0.677083 & 0.364583 \tabularnewline
85 & 206375 & 206375 & 206371 & 3.48958 & 0.46875 \tabularnewline
86 & 206530 & 206529 & 206523 & 6.30208 & 0.572917 \tabularnewline
87 & 206670 & 206671 & 206675 & -4.63542 & -0.572917 \tabularnewline
88 & 206825 & 206825 & 206827 & -1.82292 & -0.46875 \tabularnewline
89 & 206975 & 206975 & 206979 & -4.01042 & -0.364583 \tabularnewline
90 & 207130 & 207130 & 207131 & -1.19792 & -0.260417 \tabularnewline
91 & 207280 & 207280 & 207284 & -3.38542 & -0.15625 \tabularnewline
92 & 207435 & 207435 & 207436 & -0.572917 & -0.0520833 \tabularnewline
93 & 207590 & 207590 & 207588 & 2.23958 & 0.0520833 \tabularnewline
94 & 207740 & 207740 & 207740 & 0.0520833 & 0.15625 \tabularnewline
95 & 207895 & 207895 & 207892 & 2.86458 & 0.260417 \tabularnewline
96 & 208045 & 208045 & 208044 & 0.677083 & 0.364583 \tabularnewline
97 & 208200 & 208200 & 208196 & 3.48958 & 0.46875 \tabularnewline
98 & 208355 & 208354 & 208348 & 6.30208 & 0.572917 \tabularnewline
99 & 208495 & 208496 & 208500 & -4.63542 & -0.572917 \tabularnewline
100 & 208650 & 208650 & 208652 & -1.82292 & -0.46875 \tabularnewline
101 & 208800 & 208800 & 208804 & -4.01042 & -0.364583 \tabularnewline
102 & 208955 & 208955 & 208956 & -1.19792 & -0.260417 \tabularnewline
103 & 209105 & NA & NA & -3.38542 & NA \tabularnewline
104 & 209260 & NA & NA & -0.572917 & NA \tabularnewline
105 & 209415 & NA & NA & 2.23958 & NA \tabularnewline
106 & 209565 & NA & NA & 0.0520833 & NA \tabularnewline
107 & 209720 & NA & NA & 2.86458 & NA \tabularnewline
108 & 209870 & NA & NA & 0.677083 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280230&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]193590[/C][C]NA[/C][C]NA[/C][C]3.48958[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]193745[/C][C]NA[/C][C]NA[/C][C]6.30208[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]193885[/C][C]NA[/C][C]NA[/C][C]-4.63542[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]194040[/C][C]NA[/C][C]NA[/C][C]-1.82292[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]194190[/C][C]NA[/C][C]NA[/C][C]-4.01042[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]194345[/C][C]NA[/C][C]NA[/C][C]-1.19792[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]194495[/C][C]194495[/C][C]194499[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]8[/C][C]194650[/C][C]194650[/C][C]194651[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]9[/C][C]194805[/C][C]194805[/C][C]194803[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]10[/C][C]194955[/C][C]194955[/C][C]194955[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]11[/C][C]195110[/C][C]195110[/C][C]195107[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]12[/C][C]195260[/C][C]195260[/C][C]195259[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]13[/C][C]195415[/C][C]195415[/C][C]195411[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]14[/C][C]195570[/C][C]195569[/C][C]195563[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]15[/C][C]195710[/C][C]195711[/C][C]195715[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]16[/C][C]195865[/C][C]195865[/C][C]195867[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]17[/C][C]196015[/C][C]196015[/C][C]196019[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]18[/C][C]196170[/C][C]196170[/C][C]196171[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]19[/C][C]196320[/C][C]196320[/C][C]196324[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]20[/C][C]196475[/C][C]196475[/C][C]196476[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]21[/C][C]196630[/C][C]196630[/C][C]196628[/C][C]2.23958[/C][C]-0.15625[/C][/ROW]
[ROW][C]22[/C][C]196780[/C][C]196780[/C][C]196780[/C][C]0.0520833[/C][C]-0.46875[/C][/ROW]
[ROW][C]23[/C][C]196935[/C][C]196936[/C][C]196933[/C][C]2.86458[/C][C]-0.78125[/C][/ROW]
[ROW][C]24[/C][C]197085[/C][C]197086[/C][C]197085[/C][C]0.677083[/C][C]-1.09375[/C][/ROW]
[ROW][C]25[/C][C]197240[/C][C]197241[/C][C]197238[/C][C]3.48958[/C][C]-1.40625[/C][/ROW]
[ROW][C]26[/C][C]197395[/C][C]197397[/C][C]197390[/C][C]6.30208[/C][C]-1.71875[/C][/ROW]
[ROW][C]27[/C][C]197540[/C][C]197538[/C][C]197543[/C][C]-4.63542[/C][C]1.71875[/C][/ROW]
[ROW][C]28[/C][C]197695[/C][C]197694[/C][C]197695[/C][C]-1.82292[/C][C]1.40625[/C][/ROW]
[ROW][C]29[/C][C]197845[/C][C]197844[/C][C]197848[/C][C]-4.01042[/C][C]1.09375[/C][/ROW]
[ROW][C]30[/C][C]198000[/C][C]197999[/C][C]198000[/C][C]-1.19792[/C][C]0.78125[/C][/ROW]
[ROW][C]31[/C][C]198150[/C][C]198150[/C][C]198153[/C][C]-3.38542[/C][C]0.46875[/C][/ROW]
[ROW][C]32[/C][C]198305[/C][C]198305[/C][C]198305[/C][C]-0.572917[/C][C]0.15625[/C][/ROW]
[ROW][C]33[/C][C]198460[/C][C]198460[/C][C]198458[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]34[/C][C]198610[/C][C]198610[/C][C]198610[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]35[/C][C]198765[/C][C]198765[/C][C]198762[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]36[/C][C]198915[/C][C]198915[/C][C]198914[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]37[/C][C]199070[/C][C]199070[/C][C]199066[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]38[/C][C]199225[/C][C]199224[/C][C]199218[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]39[/C][C]199365[/C][C]199366[/C][C]199370[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]40[/C][C]199520[/C][C]199520[/C][C]199522[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]41[/C][C]199670[/C][C]199670[/C][C]199674[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]42[/C][C]199825[/C][C]199825[/C][C]199826[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]43[/C][C]199975[/C][C]199975[/C][C]199979[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]44[/C][C]200130[/C][C]200130[/C][C]200131[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]45[/C][C]200285[/C][C]200285[/C][C]200283[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]46[/C][C]200435[/C][C]200435[/C][C]200435[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]47[/C][C]200590[/C][C]200590[/C][C]200587[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]48[/C][C]200740[/C][C]200740[/C][C]200739[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]49[/C][C]200895[/C][C]200895[/C][C]200891[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]50[/C][C]201050[/C][C]201049[/C][C]201043[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]51[/C][C]201190[/C][C]201191[/C][C]201195[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]52[/C][C]201345[/C][C]201345[/C][C]201347[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]53[/C][C]201495[/C][C]201495[/C][C]201499[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]54[/C][C]201650[/C][C]201650[/C][C]201651[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]55[/C][C]201800[/C][C]201800[/C][C]201804[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]56[/C][C]201955[/C][C]201955[/C][C]201956[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]57[/C][C]202110[/C][C]202110[/C][C]202108[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]58[/C][C]202260[/C][C]202260[/C][C]202260[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]59[/C][C]202415[/C][C]202415[/C][C]202412[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]60[/C][C]202565[/C][C]202565[/C][C]202564[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]61[/C][C]202720[/C][C]202720[/C][C]202716[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]62[/C][C]202875[/C][C]202874[/C][C]202868[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]63[/C][C]203015[/C][C]203016[/C][C]203020[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]64[/C][C]203170[/C][C]203170[/C][C]203172[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]65[/C][C]203320[/C][C]203320[/C][C]203324[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]66[/C][C]203475[/C][C]203475[/C][C]203476[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]67[/C][C]203625[/C][C]203625[/C][C]203629[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]68[/C][C]203780[/C][C]203780[/C][C]203781[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]69[/C][C]203935[/C][C]203935[/C][C]203933[/C][C]2.23958[/C][C]-0.15625[/C][/ROW]
[ROW][C]70[/C][C]204085[/C][C]204085[/C][C]204085[/C][C]0.0520833[/C][C]-0.46875[/C][/ROW]
[ROW][C]71[/C][C]204240[/C][C]204241[/C][C]204238[/C][C]2.86458[/C][C]-0.78125[/C][/ROW]
[ROW][C]72[/C][C]204390[/C][C]204391[/C][C]204390[/C][C]0.677083[/C][C]-1.09375[/C][/ROW]
[ROW][C]73[/C][C]204545[/C][C]204546[/C][C]204543[/C][C]3.48958[/C][C]-1.40625[/C][/ROW]
[ROW][C]74[/C][C]204700[/C][C]204702[/C][C]204695[/C][C]6.30208[/C][C]-1.71875[/C][/ROW]
[ROW][C]75[/C][C]204845[/C][C]204843[/C][C]204848[/C][C]-4.63542[/C][C]1.71875[/C][/ROW]
[ROW][C]76[/C][C]205000[/C][C]204999[/C][C]205000[/C][C]-1.82292[/C][C]1.40625[/C][/ROW]
[ROW][C]77[/C][C]205150[/C][C]205149[/C][C]205153[/C][C]-4.01042[/C][C]1.09375[/C][/ROW]
[ROW][C]78[/C][C]205305[/C][C]205304[/C][C]205305[/C][C]-1.19792[/C][C]0.78125[/C][/ROW]
[ROW][C]79[/C][C]205455[/C][C]205455[/C][C]205458[/C][C]-3.38542[/C][C]0.46875[/C][/ROW]
[ROW][C]80[/C][C]205610[/C][C]205610[/C][C]205610[/C][C]-0.572917[/C][C]0.15625[/C][/ROW]
[ROW][C]81[/C][C]205765[/C][C]205765[/C][C]205763[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]82[/C][C]205915[/C][C]205915[/C][C]205915[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]83[/C][C]206070[/C][C]206070[/C][C]206067[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]84[/C][C]206220[/C][C]206220[/C][C]206219[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]85[/C][C]206375[/C][C]206375[/C][C]206371[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]86[/C][C]206530[/C][C]206529[/C][C]206523[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]87[/C][C]206670[/C][C]206671[/C][C]206675[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]88[/C][C]206825[/C][C]206825[/C][C]206827[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]89[/C][C]206975[/C][C]206975[/C][C]206979[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]90[/C][C]207130[/C][C]207130[/C][C]207131[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]91[/C][C]207280[/C][C]207280[/C][C]207284[/C][C]-3.38542[/C][C]-0.15625[/C][/ROW]
[ROW][C]92[/C][C]207435[/C][C]207435[/C][C]207436[/C][C]-0.572917[/C][C]-0.0520833[/C][/ROW]
[ROW][C]93[/C][C]207590[/C][C]207590[/C][C]207588[/C][C]2.23958[/C][C]0.0520833[/C][/ROW]
[ROW][C]94[/C][C]207740[/C][C]207740[/C][C]207740[/C][C]0.0520833[/C][C]0.15625[/C][/ROW]
[ROW][C]95[/C][C]207895[/C][C]207895[/C][C]207892[/C][C]2.86458[/C][C]0.260417[/C][/ROW]
[ROW][C]96[/C][C]208045[/C][C]208045[/C][C]208044[/C][C]0.677083[/C][C]0.364583[/C][/ROW]
[ROW][C]97[/C][C]208200[/C][C]208200[/C][C]208196[/C][C]3.48958[/C][C]0.46875[/C][/ROW]
[ROW][C]98[/C][C]208355[/C][C]208354[/C][C]208348[/C][C]6.30208[/C][C]0.572917[/C][/ROW]
[ROW][C]99[/C][C]208495[/C][C]208496[/C][C]208500[/C][C]-4.63542[/C][C]-0.572917[/C][/ROW]
[ROW][C]100[/C][C]208650[/C][C]208650[/C][C]208652[/C][C]-1.82292[/C][C]-0.46875[/C][/ROW]
[ROW][C]101[/C][C]208800[/C][C]208800[/C][C]208804[/C][C]-4.01042[/C][C]-0.364583[/C][/ROW]
[ROW][C]102[/C][C]208955[/C][C]208955[/C][C]208956[/C][C]-1.19792[/C][C]-0.260417[/C][/ROW]
[ROW][C]103[/C][C]209105[/C][C]NA[/C][C]NA[/C][C]-3.38542[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]209260[/C][C]NA[/C][C]NA[/C][C]-0.572917[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]209415[/C][C]NA[/C][C]NA[/C][C]2.23958[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]209565[/C][C]NA[/C][C]NA[/C][C]0.0520833[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]209720[/C][C]NA[/C][C]NA[/C][C]2.86458[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]209870[/C][C]NA[/C][C]NA[/C][C]0.677083[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280230&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280230&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
1193590NANA3.48958NA
2193745NANA6.30208NA
3193885NANA-4.63542NA
4194040NANA-1.82292NA
5194190NANA-4.01042NA
6194345NANA-1.19792NA
7194495194495194499-3.38542-0.15625
8194650194650194651-0.572917-0.0520833
91948051948051948032.239580.0520833
101949551949551949550.05208330.15625
111951101951101951072.864580.260417
121952601952601952590.6770830.364583
131954151954151954113.489580.46875
141955701955691955636.302080.572917
15195710195711195715-4.63542-0.572917
16195865195865195867-1.82292-0.46875
17196015196015196019-4.01042-0.364583
18196170196170196171-1.19792-0.260417
19196320196320196324-3.38542-0.15625
20196475196475196476-0.572917-0.0520833
211966301966301966282.23958-0.15625
221967801967801967800.0520833-0.46875
231969351969361969332.86458-0.78125
241970851970861970850.677083-1.09375
251972401972411972383.48958-1.40625
261973951973971973906.30208-1.71875
27197540197538197543-4.635421.71875
28197695197694197695-1.822921.40625
29197845197844197848-4.010421.09375
30198000197999198000-1.197920.78125
31198150198150198153-3.385420.46875
32198305198305198305-0.5729170.15625
331984601984601984582.239580.0520833
341986101986101986100.05208330.15625
351987651987651987622.864580.260417
361989151989151989140.6770830.364583
371990701990701990663.489580.46875
381992251992241992186.302080.572917
39199365199366199370-4.63542-0.572917
40199520199520199522-1.82292-0.46875
41199670199670199674-4.01042-0.364583
42199825199825199826-1.19792-0.260417
43199975199975199979-3.38542-0.15625
44200130200130200131-0.572917-0.0520833
452002852002852002832.239580.0520833
462004352004352004350.05208330.15625
472005902005902005872.864580.260417
482007402007402007390.6770830.364583
492008952008952008913.489580.46875
502010502010492010436.302080.572917
51201190201191201195-4.63542-0.572917
52201345201345201347-1.82292-0.46875
53201495201495201499-4.01042-0.364583
54201650201650201651-1.19792-0.260417
55201800201800201804-3.38542-0.15625
56201955201955201956-0.572917-0.0520833
572021102021102021082.239580.0520833
582022602022602022600.05208330.15625
592024152024152024122.864580.260417
602025652025652025640.6770830.364583
612027202027202027163.489580.46875
622028752028742028686.302080.572917
63203015203016203020-4.63542-0.572917
64203170203170203172-1.82292-0.46875
65203320203320203324-4.01042-0.364583
66203475203475203476-1.19792-0.260417
67203625203625203629-3.38542-0.15625
68203780203780203781-0.572917-0.0520833
692039352039352039332.23958-0.15625
702040852040852040850.0520833-0.46875
712042402042412042382.86458-0.78125
722043902043912043900.677083-1.09375
732045452045462045433.48958-1.40625
742047002047022046956.30208-1.71875
75204845204843204848-4.635421.71875
76205000204999205000-1.822921.40625
77205150205149205153-4.010421.09375
78205305205304205305-1.197920.78125
79205455205455205458-3.385420.46875
80205610205610205610-0.5729170.15625
812057652057652057632.239580.0520833
822059152059152059150.05208330.15625
832060702060702060672.864580.260417
842062202062202062190.6770830.364583
852063752063752063713.489580.46875
862065302065292065236.302080.572917
87206670206671206675-4.63542-0.572917
88206825206825206827-1.82292-0.46875
89206975206975206979-4.01042-0.364583
90207130207130207131-1.19792-0.260417
91207280207280207284-3.38542-0.15625
92207435207435207436-0.572917-0.0520833
932075902075902075882.239580.0520833
942077402077402077400.05208330.15625
952078952078952078922.864580.260417
962080452080452080440.6770830.364583
972082002082002081963.489580.46875
982083552083542083486.302080.572917
99208495208496208500-4.63542-0.572917
100208650208650208652-1.82292-0.46875
101208800208800208804-4.01042-0.364583
102208955208955208956-1.19792-0.260417
103209105NANA-3.38542NA
104209260NANA-0.572917NA
105209415NANA2.23958NA
106209565NANA0.0520833NA
107209720NANA2.86458NA
108209870NANA0.677083NA


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 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')