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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 30 Apr 2012 13:45:25 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/30/t1335808161ooz0g2kq8puenvz.htm/, Retrieved Sun, 28 Apr 2024 20:38:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165319, Retrieved Sun, 28 Apr 2024 20:38:02 +0000

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Estimated Impact

106

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

-       [Classical Decomposition] [Decompositie Hout...] [2012-04-30 17:45:25] [54d49d8a22bca19e9398641fe7fc5cc7] [Current]

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Dataseries X:

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165319&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165319&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	402.55	NA	NA	0.316727430555542	NA
2	403.04	NA	NA	1.15683159722223	NA
3	399.25	NA	NA	0.288706597222227	NA
4	401.26	NA	NA	-0.681085069444453	NA
5	402.76	NA	NA	-0.389001736111101	NA
6	402.27	NA	NA	-0.276918402777742	NA
7	402.27	403.845477430556	404.3275	-0.482022569444428	-1.57547743055557
8	406.11	404.117560763889	404.754166666667	-0.636605902777763	1.99243923611112
9	406.39	405.052456597222	405.150416666667	-0.0979600694444578	1.33754340277778
10	407.88	405.607352430555	405.428333333333	0.17901909722222	2.27264756944453
11	407.77	405.889539930555	405.583333333333	0.306206597222197	1.88046006944461
12	407.77	406.006102430555	405.69	0.316102430555528	1.76389756944451
13	407.77	406.091727430556	405.775	0.316727430555542	1.67827256944446
14	408.06	406.747248263889	405.590416666667	1.15683159722223	1.31275173611112
15	403.74	405.420789930556	405.132083333333	0.288706597222227	-1.68078993055559
16	403.44	403.945998263889	404.627083333333	-0.681085069444453	-0.505998263888955
17	404.3	403.723914930556	404.112916666667	-0.389001736111101	0.576085069444446
18	403.29	403.355164930555	403.632083333333	-0.276918402777742	-0.0651649305554542
19	403.29	402.669227430556	403.15125	-0.482022569444428	0.620772569444512
20	400.66	402.077144097222	402.71375	-0.636605902777763	-1.41714409722215
21	400.84	402.420789930555	402.51875	-0.0979600694444578	-1.58078993055551
22	401.31	402.683185763889	402.504166666667	0.17901909722222	-1.3731857638889
23	402	402.735789930556	402.429583333333	0.306206597222197	-0.735789930555541
24	402	402.823602430556	402.5075	0.316102430555528	-0.823602430555525
25	402	403.095894097222	402.779166666667	0.316727430555542	-1.09589409722213
26	403.33	404.239748263889	403.082916666667	1.15683159722223	-0.909748263888844
27	403.79	403.702039930556	403.413333333333	0.288706597222227	0.0879600694444775
28	403.04	403.015164930556	403.69625	-0.681085069444453	0.0248350694444639
29	402.91	403.518498263889	403.9075	-0.389001736111101	-0.608498263888862
30	406.55	403.812248263889	404.089166666667	-0.276918402777742	2.73775173611114
31	406.55	403.788810763889	404.270833333333	-0.482022569444428	2.76118923611114
32	404.69	403.787144097222	404.42375	-0.636605902777763	0.902855902777844
33	404.74	404.499123263889	404.597083333333	-0.0979600694444578	0.240876736111147
34	404.2	405.062769097222	404.88375	0.17901909722222	-0.862769097222269
35	404.18	405.549956597222	405.24375	0.306206597222197	-1.3699565972222
36	404.18	405.650685763889	405.334583333333	0.316102430555528	-1.47068576388892
37	404.18	405.463810763889	405.147083333333	0.316727430555542	-1.28381076388894
38	404.82	406.210581597222	405.05375	1.15683159722223	-1.39058159722219
39	406.46	405.429539930556	405.140833333333	0.288706597222227	1.03046006944442
40	407.25	404.655581597222	405.336666666667	-0.681085069444453	2.59441840277782
41	407.34	405.164331597222	405.553333333333	-0.389001736111101	2.17566840277777
42	404.3	405.491414930556	405.768333333333	-0.276918402777742	-1.19141493055554
43	404.3	405.501310763889	405.983333333333	-0.482022569444428	-1.20131076388884
44	404.7	405.572977430556	406.209583333333	-0.636605902777763	-0.872977430555579
45	406.82	406.212456597222	406.310416666667	-0.0979600694444578	0.607543402777821
46	406.82	406.251519097222	406.0725	0.17901909722222	0.568480902777765
47	406.76	405.929539930556	405.623333333333	0.306206597222197	0.830460069444428
48	406.76	405.624435763889	405.308333333333	0.316102430555528	1.13556423611112
49	406.76	405.453394097222	405.136666666667	0.316727430555542	1.30660590277779
50	407.67	406.077248263889	404.920416666667	1.15683159722223	1.59275173611121
51	406.03	404.862456597222	404.57375	0.288706597222227	1.16754340277782
52	401.97	403.478081597222	404.159166666667	-0.681085069444453	-1.50808159722209
53	401.84	403.378081597222	403.767083333333	-0.389001736111101	-1.53808159722223
54	402.24	403.115998263889	403.392916666667	-0.276918402777742	-0.875998263888846
55	402.24	NA	NA	-0.482022569444428	NA
56	401.57	NA	NA	-0.636605902777763	NA
57	401.63	NA	NA	-0.0979600694444578	NA
58	402.06	NA	NA	0.17901909722222	NA
59	402.11	NA	NA	0.306206597222197	NA
60	402.43	NA	NA	0.316102430555528	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 402.55 & NA & NA & 0.316727430555542 & NA \tabularnewline
2 & 403.04 & NA & NA & 1.15683159722223 & NA \tabularnewline
3 & 399.25 & NA & NA & 0.288706597222227 & NA \tabularnewline
4 & 401.26 & NA & NA & -0.681085069444453 & NA \tabularnewline
5 & 402.76 & NA & NA & -0.389001736111101 & NA \tabularnewline
6 & 402.27 & NA & NA & -0.276918402777742 & NA \tabularnewline
7 & 402.27 & 403.845477430556 & 404.3275 & -0.482022569444428 & -1.57547743055557 \tabularnewline
8 & 406.11 & 404.117560763889 & 404.754166666667 & -0.636605902777763 & 1.99243923611112 \tabularnewline
9 & 406.39 & 405.052456597222 & 405.150416666667 & -0.0979600694444578 & 1.33754340277778 \tabularnewline
10 & 407.88 & 405.607352430555 & 405.428333333333 & 0.17901909722222 & 2.27264756944453 \tabularnewline
11 & 407.77 & 405.889539930555 & 405.583333333333 & 0.306206597222197 & 1.88046006944461 \tabularnewline
12 & 407.77 & 406.006102430555 & 405.69 & 0.316102430555528 & 1.76389756944451 \tabularnewline
13 & 407.77 & 406.091727430556 & 405.775 & 0.316727430555542 & 1.67827256944446 \tabularnewline
14 & 408.06 & 406.747248263889 & 405.590416666667 & 1.15683159722223 & 1.31275173611112 \tabularnewline
15 & 403.74 & 405.420789930556 & 405.132083333333 & 0.288706597222227 & -1.68078993055559 \tabularnewline
16 & 403.44 & 403.945998263889 & 404.627083333333 & -0.681085069444453 & -0.505998263888955 \tabularnewline
17 & 404.3 & 403.723914930556 & 404.112916666667 & -0.389001736111101 & 0.576085069444446 \tabularnewline
18 & 403.29 & 403.355164930555 & 403.632083333333 & -0.276918402777742 & -0.0651649305554542 \tabularnewline
19 & 403.29 & 402.669227430556 & 403.15125 & -0.482022569444428 & 0.620772569444512 \tabularnewline
20 & 400.66 & 402.077144097222 & 402.71375 & -0.636605902777763 & -1.41714409722215 \tabularnewline
21 & 400.84 & 402.420789930555 & 402.51875 & -0.0979600694444578 & -1.58078993055551 \tabularnewline
22 & 401.31 & 402.683185763889 & 402.504166666667 & 0.17901909722222 & -1.3731857638889 \tabularnewline
23 & 402 & 402.735789930556 & 402.429583333333 & 0.306206597222197 & -0.735789930555541 \tabularnewline
24 & 402 & 402.823602430556 & 402.5075 & 0.316102430555528 & -0.823602430555525 \tabularnewline
25 & 402 & 403.095894097222 & 402.779166666667 & 0.316727430555542 & -1.09589409722213 \tabularnewline
26 & 403.33 & 404.239748263889 & 403.082916666667 & 1.15683159722223 & -0.909748263888844 \tabularnewline
27 & 403.79 & 403.702039930556 & 403.413333333333 & 0.288706597222227 & 0.0879600694444775 \tabularnewline
28 & 403.04 & 403.015164930556 & 403.69625 & -0.681085069444453 & 0.0248350694444639 \tabularnewline
29 & 402.91 & 403.518498263889 & 403.9075 & -0.389001736111101 & -0.608498263888862 \tabularnewline
30 & 406.55 & 403.812248263889 & 404.089166666667 & -0.276918402777742 & 2.73775173611114 \tabularnewline
31 & 406.55 & 403.788810763889 & 404.270833333333 & -0.482022569444428 & 2.76118923611114 \tabularnewline
32 & 404.69 & 403.787144097222 & 404.42375 & -0.636605902777763 & 0.902855902777844 \tabularnewline
33 & 404.74 & 404.499123263889 & 404.597083333333 & -0.0979600694444578 & 0.240876736111147 \tabularnewline
34 & 404.2 & 405.062769097222 & 404.88375 & 0.17901909722222 & -0.862769097222269 \tabularnewline
35 & 404.18 & 405.549956597222 & 405.24375 & 0.306206597222197 & -1.3699565972222 \tabularnewline
36 & 404.18 & 405.650685763889 & 405.334583333333 & 0.316102430555528 & -1.47068576388892 \tabularnewline
37 & 404.18 & 405.463810763889 & 405.147083333333 & 0.316727430555542 & -1.28381076388894 \tabularnewline
38 & 404.82 & 406.210581597222 & 405.05375 & 1.15683159722223 & -1.39058159722219 \tabularnewline
39 & 406.46 & 405.429539930556 & 405.140833333333 & 0.288706597222227 & 1.03046006944442 \tabularnewline
40 & 407.25 & 404.655581597222 & 405.336666666667 & -0.681085069444453 & 2.59441840277782 \tabularnewline
41 & 407.34 & 405.164331597222 & 405.553333333333 & -0.389001736111101 & 2.17566840277777 \tabularnewline
42 & 404.3 & 405.491414930556 & 405.768333333333 & -0.276918402777742 & -1.19141493055554 \tabularnewline
43 & 404.3 & 405.501310763889 & 405.983333333333 & -0.482022569444428 & -1.20131076388884 \tabularnewline
44 & 404.7 & 405.572977430556 & 406.209583333333 & -0.636605902777763 & -0.872977430555579 \tabularnewline
45 & 406.82 & 406.212456597222 & 406.310416666667 & -0.0979600694444578 & 0.607543402777821 \tabularnewline
46 & 406.82 & 406.251519097222 & 406.0725 & 0.17901909722222 & 0.568480902777765 \tabularnewline
47 & 406.76 & 405.929539930556 & 405.623333333333 & 0.306206597222197 & 0.830460069444428 \tabularnewline
48 & 406.76 & 405.624435763889 & 405.308333333333 & 0.316102430555528 & 1.13556423611112 \tabularnewline
49 & 406.76 & 405.453394097222 & 405.136666666667 & 0.316727430555542 & 1.30660590277779 \tabularnewline
50 & 407.67 & 406.077248263889 & 404.920416666667 & 1.15683159722223 & 1.59275173611121 \tabularnewline
51 & 406.03 & 404.862456597222 & 404.57375 & 0.288706597222227 & 1.16754340277782 \tabularnewline
52 & 401.97 & 403.478081597222 & 404.159166666667 & -0.681085069444453 & -1.50808159722209 \tabularnewline
53 & 401.84 & 403.378081597222 & 403.767083333333 & -0.389001736111101 & -1.53808159722223 \tabularnewline
54 & 402.24 & 403.115998263889 & 403.392916666667 & -0.276918402777742 & -0.875998263888846 \tabularnewline
55 & 402.24 & NA & NA & -0.482022569444428 & NA \tabularnewline
56 & 401.57 & NA & NA & -0.636605902777763 & NA \tabularnewline
57 & 401.63 & NA & NA & -0.0979600694444578 & NA \tabularnewline
58 & 402.06 & NA & NA & 0.17901909722222 & NA \tabularnewline
59 & 402.11 & NA & NA & 0.306206597222197 & NA \tabularnewline
60 & 402.43 & NA & NA & 0.316102430555528 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165319&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]402.55[/C][C]NA[/C][C]NA[/C][C]0.316727430555542[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]403.04[/C][C]NA[/C][C]NA[/C][C]1.15683159722223[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]399.25[/C][C]NA[/C][C]NA[/C][C]0.288706597222227[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]401.26[/C][C]NA[/C][C]NA[/C][C]-0.681085069444453[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]402.76[/C][C]NA[/C][C]NA[/C][C]-0.389001736111101[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]402.27[/C][C]NA[/C][C]NA[/C][C]-0.276918402777742[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]402.27[/C][C]403.845477430556[/C][C]404.3275[/C][C]-0.482022569444428[/C][C]-1.57547743055557[/C][/ROW]
[ROW][C]8[/C][C]406.11[/C][C]404.117560763889[/C][C]404.754166666667[/C][C]-0.636605902777763[/C][C]1.99243923611112[/C][/ROW]
[ROW][C]9[/C][C]406.39[/C][C]405.052456597222[/C][C]405.150416666667[/C][C]-0.0979600694444578[/C][C]1.33754340277778[/C][/ROW]
[ROW][C]10[/C][C]407.88[/C][C]405.607352430555[/C][C]405.428333333333[/C][C]0.17901909722222[/C][C]2.27264756944453[/C][/ROW]
[ROW][C]11[/C][C]407.77[/C][C]405.889539930555[/C][C]405.583333333333[/C][C]0.306206597222197[/C][C]1.88046006944461[/C][/ROW]
[ROW][C]12[/C][C]407.77[/C][C]406.006102430555[/C][C]405.69[/C][C]0.316102430555528[/C][C]1.76389756944451[/C][/ROW]
[ROW][C]13[/C][C]407.77[/C][C]406.091727430556[/C][C]405.775[/C][C]0.316727430555542[/C][C]1.67827256944446[/C][/ROW]
[ROW][C]14[/C][C]408.06[/C][C]406.747248263889[/C][C]405.590416666667[/C][C]1.15683159722223[/C][C]1.31275173611112[/C][/ROW]
[ROW][C]15[/C][C]403.74[/C][C]405.420789930556[/C][C]405.132083333333[/C][C]0.288706597222227[/C][C]-1.68078993055559[/C][/ROW]
[ROW][C]16[/C][C]403.44[/C][C]403.945998263889[/C][C]404.627083333333[/C][C]-0.681085069444453[/C][C]-0.505998263888955[/C][/ROW]
[ROW][C]17[/C][C]404.3[/C][C]403.723914930556[/C][C]404.112916666667[/C][C]-0.389001736111101[/C][C]0.576085069444446[/C][/ROW]
[ROW][C]18[/C][C]403.29[/C][C]403.355164930555[/C][C]403.632083333333[/C][C]-0.276918402777742[/C][C]-0.0651649305554542[/C][/ROW]
[ROW][C]19[/C][C]403.29[/C][C]402.669227430556[/C][C]403.15125[/C][C]-0.482022569444428[/C][C]0.620772569444512[/C][/ROW]
[ROW][C]20[/C][C]400.66[/C][C]402.077144097222[/C][C]402.71375[/C][C]-0.636605902777763[/C][C]-1.41714409722215[/C][/ROW]
[ROW][C]21[/C][C]400.84[/C][C]402.420789930555[/C][C]402.51875[/C][C]-0.0979600694444578[/C][C]-1.58078993055551[/C][/ROW]
[ROW][C]22[/C][C]401.31[/C][C]402.683185763889[/C][C]402.504166666667[/C][C]0.17901909722222[/C][C]-1.3731857638889[/C][/ROW]
[ROW][C]23[/C][C]402[/C][C]402.735789930556[/C][C]402.429583333333[/C][C]0.306206597222197[/C][C]-0.735789930555541[/C][/ROW]
[ROW][C]24[/C][C]402[/C][C]402.823602430556[/C][C]402.5075[/C][C]0.316102430555528[/C][C]-0.823602430555525[/C][/ROW]
[ROW][C]25[/C][C]402[/C][C]403.095894097222[/C][C]402.779166666667[/C][C]0.316727430555542[/C][C]-1.09589409722213[/C][/ROW]
[ROW][C]26[/C][C]403.33[/C][C]404.239748263889[/C][C]403.082916666667[/C][C]1.15683159722223[/C][C]-0.909748263888844[/C][/ROW]
[ROW][C]27[/C][C]403.79[/C][C]403.702039930556[/C][C]403.413333333333[/C][C]0.288706597222227[/C][C]0.0879600694444775[/C][/ROW]
[ROW][C]28[/C][C]403.04[/C][C]403.015164930556[/C][C]403.69625[/C][C]-0.681085069444453[/C][C]0.0248350694444639[/C][/ROW]
[ROW][C]29[/C][C]402.91[/C][C]403.518498263889[/C][C]403.9075[/C][C]-0.389001736111101[/C][C]-0.608498263888862[/C][/ROW]
[ROW][C]30[/C][C]406.55[/C][C]403.812248263889[/C][C]404.089166666667[/C][C]-0.276918402777742[/C][C]2.73775173611114[/C][/ROW]
[ROW][C]31[/C][C]406.55[/C][C]403.788810763889[/C][C]404.270833333333[/C][C]-0.482022569444428[/C][C]2.76118923611114[/C][/ROW]
[ROW][C]32[/C][C]404.69[/C][C]403.787144097222[/C][C]404.42375[/C][C]-0.636605902777763[/C][C]0.902855902777844[/C][/ROW]
[ROW][C]33[/C][C]404.74[/C][C]404.499123263889[/C][C]404.597083333333[/C][C]-0.0979600694444578[/C][C]0.240876736111147[/C][/ROW]
[ROW][C]34[/C][C]404.2[/C][C]405.062769097222[/C][C]404.88375[/C][C]0.17901909722222[/C][C]-0.862769097222269[/C][/ROW]
[ROW][C]35[/C][C]404.18[/C][C]405.549956597222[/C][C]405.24375[/C][C]0.306206597222197[/C][C]-1.3699565972222[/C][/ROW]
[ROW][C]36[/C][C]404.18[/C][C]405.650685763889[/C][C]405.334583333333[/C][C]0.316102430555528[/C][C]-1.47068576388892[/C][/ROW]
[ROW][C]37[/C][C]404.18[/C][C]405.463810763889[/C][C]405.147083333333[/C][C]0.316727430555542[/C][C]-1.28381076388894[/C][/ROW]
[ROW][C]38[/C][C]404.82[/C][C]406.210581597222[/C][C]405.05375[/C][C]1.15683159722223[/C][C]-1.39058159722219[/C][/ROW]
[ROW][C]39[/C][C]406.46[/C][C]405.429539930556[/C][C]405.140833333333[/C][C]0.288706597222227[/C][C]1.03046006944442[/C][/ROW]
[ROW][C]40[/C][C]407.25[/C][C]404.655581597222[/C][C]405.336666666667[/C][C]-0.681085069444453[/C][C]2.59441840277782[/C][/ROW]
[ROW][C]41[/C][C]407.34[/C][C]405.164331597222[/C][C]405.553333333333[/C][C]-0.389001736111101[/C][C]2.17566840277777[/C][/ROW]
[ROW][C]42[/C][C]404.3[/C][C]405.491414930556[/C][C]405.768333333333[/C][C]-0.276918402777742[/C][C]-1.19141493055554[/C][/ROW]
[ROW][C]43[/C][C]404.3[/C][C]405.501310763889[/C][C]405.983333333333[/C][C]-0.482022569444428[/C][C]-1.20131076388884[/C][/ROW]
[ROW][C]44[/C][C]404.7[/C][C]405.572977430556[/C][C]406.209583333333[/C][C]-0.636605902777763[/C][C]-0.872977430555579[/C][/ROW]
[ROW][C]45[/C][C]406.82[/C][C]406.212456597222[/C][C]406.310416666667[/C][C]-0.0979600694444578[/C][C]0.607543402777821[/C][/ROW]
[ROW][C]46[/C][C]406.82[/C][C]406.251519097222[/C][C]406.0725[/C][C]0.17901909722222[/C][C]0.568480902777765[/C][/ROW]
[ROW][C]47[/C][C]406.76[/C][C]405.929539930556[/C][C]405.623333333333[/C][C]0.306206597222197[/C][C]0.830460069444428[/C][/ROW]
[ROW][C]48[/C][C]406.76[/C][C]405.624435763889[/C][C]405.308333333333[/C][C]0.316102430555528[/C][C]1.13556423611112[/C][/ROW]
[ROW][C]49[/C][C]406.76[/C][C]405.453394097222[/C][C]405.136666666667[/C][C]0.316727430555542[/C][C]1.30660590277779[/C][/ROW]
[ROW][C]50[/C][C]407.67[/C][C]406.077248263889[/C][C]404.920416666667[/C][C]1.15683159722223[/C][C]1.59275173611121[/C][/ROW]
[ROW][C]51[/C][C]406.03[/C][C]404.862456597222[/C][C]404.57375[/C][C]0.288706597222227[/C][C]1.16754340277782[/C][/ROW]
[ROW][C]52[/C][C]401.97[/C][C]403.478081597222[/C][C]404.159166666667[/C][C]-0.681085069444453[/C][C]-1.50808159722209[/C][/ROW]
[ROW][C]53[/C][C]401.84[/C][C]403.378081597222[/C][C]403.767083333333[/C][C]-0.389001736111101[/C][C]-1.53808159722223[/C][/ROW]
[ROW][C]54[/C][C]402.24[/C][C]403.115998263889[/C][C]403.392916666667[/C][C]-0.276918402777742[/C][C]-0.875998263888846[/C][/ROW]
[ROW][C]55[/C][C]402.24[/C][C]NA[/C][C]NA[/C][C]-0.482022569444428[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]401.57[/C][C]NA[/C][C]NA[/C][C]-0.636605902777763[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]401.63[/C][C]NA[/C][C]NA[/C][C]-0.0979600694444578[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]402.06[/C][C]NA[/C][C]NA[/C][C]0.17901909722222[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]402.11[/C][C]NA[/C][C]NA[/C][C]0.306206597222197[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]402.43[/C][C]NA[/C][C]NA[/C][C]0.316102430555528[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165319&T=1

As an alternative you can also use a QR Code:

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

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	402.55	NA	NA	0.316727430555542	NA
2	403.04	NA	NA	1.15683159722223	NA
3	399.25	NA	NA	0.288706597222227	NA
4	401.26	NA	NA	-0.681085069444453	NA
5	402.76	NA	NA	-0.389001736111101	NA
6	402.27	NA	NA	-0.276918402777742	NA
7	402.27	403.845477430556	404.3275	-0.482022569444428	-1.57547743055557
8	406.11	404.117560763889	404.754166666667	-0.636605902777763	1.99243923611112
9	406.39	405.052456597222	405.150416666667	-0.0979600694444578	1.33754340277778
10	407.88	405.607352430555	405.428333333333	0.17901909722222	2.27264756944453
11	407.77	405.889539930555	405.583333333333	0.306206597222197	1.88046006944461
12	407.77	406.006102430555	405.69	0.316102430555528	1.76389756944451
13	407.77	406.091727430556	405.775	0.316727430555542	1.67827256944446
14	408.06	406.747248263889	405.590416666667	1.15683159722223	1.31275173611112
15	403.74	405.420789930556	405.132083333333	0.288706597222227	-1.68078993055559
16	403.44	403.945998263889	404.627083333333	-0.681085069444453	-0.505998263888955
17	404.3	403.723914930556	404.112916666667	-0.389001736111101	0.576085069444446
18	403.29	403.355164930555	403.632083333333	-0.276918402777742	-0.0651649305554542
19	403.29	402.669227430556	403.15125	-0.482022569444428	0.620772569444512
20	400.66	402.077144097222	402.71375	-0.636605902777763	-1.41714409722215
21	400.84	402.420789930555	402.51875	-0.0979600694444578	-1.58078993055551
22	401.31	402.683185763889	402.504166666667	0.17901909722222	-1.3731857638889
23	402	402.735789930556	402.429583333333	0.306206597222197	-0.735789930555541
24	402	402.823602430556	402.5075	0.316102430555528	-0.823602430555525
25	402	403.095894097222	402.779166666667	0.316727430555542	-1.09589409722213
26	403.33	404.239748263889	403.082916666667	1.15683159722223	-0.909748263888844
27	403.79	403.702039930556	403.413333333333	0.288706597222227	0.0879600694444775
28	403.04	403.015164930556	403.69625	-0.681085069444453	0.0248350694444639
29	402.91	403.518498263889	403.9075	-0.389001736111101	-0.608498263888862
30	406.55	403.812248263889	404.089166666667	-0.276918402777742	2.73775173611114
31	406.55	403.788810763889	404.270833333333	-0.482022569444428	2.76118923611114
32	404.69	403.787144097222	404.42375	-0.636605902777763	0.902855902777844
33	404.74	404.499123263889	404.597083333333	-0.0979600694444578	0.240876736111147
34	404.2	405.062769097222	404.88375	0.17901909722222	-0.862769097222269
35	404.18	405.549956597222	405.24375	0.306206597222197	-1.3699565972222
36	404.18	405.650685763889	405.334583333333	0.316102430555528	-1.47068576388892
37	404.18	405.463810763889	405.147083333333	0.316727430555542	-1.28381076388894
38	404.82	406.210581597222	405.05375	1.15683159722223	-1.39058159722219
39	406.46	405.429539930556	405.140833333333	0.288706597222227	1.03046006944442
40	407.25	404.655581597222	405.336666666667	-0.681085069444453	2.59441840277782
41	407.34	405.164331597222	405.553333333333	-0.389001736111101	2.17566840277777
42	404.3	405.491414930556	405.768333333333	-0.276918402777742	-1.19141493055554
43	404.3	405.501310763889	405.983333333333	-0.482022569444428	-1.20131076388884
44	404.7	405.572977430556	406.209583333333	-0.636605902777763	-0.872977430555579
45	406.82	406.212456597222	406.310416666667	-0.0979600694444578	0.607543402777821
46	406.82	406.251519097222	406.0725	0.17901909722222	0.568480902777765
47	406.76	405.929539930556	405.623333333333	0.306206597222197	0.830460069444428
48	406.76	405.624435763889	405.308333333333	0.316102430555528	1.13556423611112
49	406.76	405.453394097222	405.136666666667	0.316727430555542	1.30660590277779
50	407.67	406.077248263889	404.920416666667	1.15683159722223	1.59275173611121
51	406.03	404.862456597222	404.57375	0.288706597222227	1.16754340277782
52	401.97	403.478081597222	404.159166666667	-0.681085069444453	-1.50808159722209
53	401.84	403.378081597222	403.767083333333	-0.389001736111101	-1.53808159722223
54	402.24	403.115998263889	403.392916666667	-0.276918402777742	-0.875998263888846
55	402.24	NA	NA	-0.482022569444428	NA
56	401.57	NA	NA	-0.636605902777763	NA
57	401.63	NA	NA	-0.0979600694444578	NA
58	402.06	NA	NA	0.17901909722222	NA
59	402.11	NA	NA	0.306206597222197	NA
60	402.43	NA	NA	0.316102430555528	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code