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Author

*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 21 May 2013 09:05:38 -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/2013/May/21/t1369141644rwwm0vzlt1ro4vz.htm/, Retrieved Thu, 02 May 2024 02:52:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=209196, Retrieved Thu, 02 May 2024 02:52:16 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

103

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

-       [Classical Decomposition] [classical deompos...] [2013-05-21 13:05:38] [c26e09c8434f533bb784f50bf3cf5b76] [Current]

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Dataseries X:

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Histogram

Boxplots

0.5
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 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 & 6 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209196&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]6 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=209196&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209196&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	6 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	0.5	NA	NA	1.0077305900219	NA
2	0.52	NA	NA	1.01256970959896	NA
3	0.52	NA	NA	1.00987840470441	NA
4	0.52	NA	NA	1.00721565494178	NA
5	0.52	NA	NA	1.00458093738425	NA
6	0.52	NA	NA	1.0019737428977	NA
7	0.52	0.518978779592415	0.519166666666667	0.999638098733384	1.00196774983437
8	0.52	0.518236501254754	0.52	0.996608656259143	1.00340288409052
9	0.52	0.516836439338729	0.52	0.993916229497557	1.00612100931838
10	0.52	0.515451804340105	0.52	0.991253469884818	1.0088237069336
11	0.52	0.514082300989806	0.52	0.988619809595781	1.01151118993749
12	0.52	0.512727642169764	0.52	0.986014696480316	1.0141836663993
13	0.52	0.524019906811389	0.52	1.0077305900219	0.992328713548595
14	0.52	0.526536248991457	0.52	1.01256970959896	0.98758632666986
15	0.52	0.525136770446291	0.52	1.00987840470441	0.990218223641193
16	0.52	0.523752140569727	0.52	1.00721565494178	0.992836037737917
17	0.52	0.522382087439812	0.52	1.00458093738425	0.995439951910512
18	0.52	0.521026346306805	0.52	1.0019737428977	0.998030145089438
19	0.52	0.51981181134136	0.52	0.999638098733384	1.00036203228656
20	0.52	0.519067008468303	0.520833333333333	0.996608656259143	1.00179743947597
21	0.52	0.519321229912473	0.5225	0.993916229497557	1.00130703319724
22	0.52	0.519582027131292	0.524166666666667	0.991253469884818	1.00080444058278
23	0.52	0.519849249879115	0.525833333333333	0.988619809595781	1.00028998814737
24	0.52	0.520122752393367	0.5275	0.986014696480316	0.99976399341732
25	0.52	0.533257437219923	0.529166666666667	1.0077305900219	0.975138767329643
26	0.54	0.537505754178779	0.530833333333333	1.01256970959896	1.00464040766416
27	0.54	0.537760250505097	0.5325	1.00987840470441	1.00416495918544
28	0.54	0.538021029014735	0.534166666666667	1.00721565494178	1.00367824095814
29	0.54	0.53828795228173	0.535833333333333	1.00458093738425	1.00318054251635
30	0.54	0.538560886807514	0.5375	1.0019737428977	1.00267214576427
31	0.54	0.541054120939444	0.54125	0.999638098733384	0.99805172736211
32	0.54	0.544397478481557	0.54625	0.996608656259143	0.991922301892687
33	0.54	0.547068057985947	0.550416666666667	0.993916229497557	0.987080112094338
34	0.54	0.549732653506955	0.554583333333333	0.991253469884818	0.982295660545419
35	0.54	0.552391318611642	0.55875	0.988619809595781	0.977567861416095
36	0.54	0.555044106227044	0.562916666666667	0.986014696480316	0.972895656294222
37	0.59	0.571467222091587	0.567083333333333	1.0077305900219	1.03243016780662
38	0.59	0.578430446608404	0.57125	1.01256970959896	1.02000163279688
39	0.59	0.581100865373661	0.575416666666667	1.00987840470441	1.01531426841125
40	0.59	0.583765406676674	0.579583333333333	1.00721565494178	1.01067996364981
41	0.59	0.586424122198059	0.58375	1.00458093738425	1.00609776724146
42	0.59	0.58907706301194	0.587916666666667	1.0019737428977	1.00156675084808
43	0.59	0.589786478252696	0.59	0.999638098733384	1.00036203228656
44	0.59	0.587999107192894	0.59	0.996608656259143	1.00340288409052
45	0.59	0.586410575403558	0.59	0.993916229497557	1.00612100931838
46	0.59	0.584839547232042	0.59	0.991253469884818	1.0088237069336
47	0.59	0.58328568766151	0.59	0.988619809595781	1.01151118993749
48	0.59	0.581748670923386	0.59	0.986014696480316	1.0141836663993
49	0.59	0.594561048112922	0.59	1.0077305900219	0.992328713548595
50	0.59	0.597416128663384	0.59	1.01256970959896	0.98758632666986
51	0.59	0.5958282587756	0.59	1.00987840470441	0.990218223641194
52	0.59	0.594257236415651	0.59	1.00721565494178	0.992836037737917
53	0.59	0.59270275305671	0.59	1.00458093738425	0.995439951910513
54	0.59	0.591164508309644	0.59	1.0019737428977	0.998030145089438
55	0.59	0.590619510001641	0.590833333333333	0.999638098733384	0.998951084427199
56	0.59	0.590490628833542	0.5925	0.996608656259143	0.999169116647099
57	0.59	0.590551893026465	0.594166666666667	0.993916229497557	0.999065462268461
58	0.59	0.590621859139704	0.595833333333333	0.991253469884818	0.998947111201388
59	0.59	0.590700336233479	0.5975	0.988619809595781	0.998814396758356
60	0.59	0.590787138974456	0.599166666666667	0.986014696480316	0.998667643686655
61	0.61	0.605478129504826	0.600833333333333	1.0077305900219	1.00746826396334
62	0.61	0.610073250033371	0.6025	1.01256970959896	0.999879932396041
63	0.61	0.610134869508912	0.604166666666667	1.00987840470441	0.999778951317729
64	0.61	0.610204817618896	0.605833333333333	1.00721565494178	0.999664346113006
65	0.61	0.610282919460935	0.6075	1.00458093738425	0.999536412617963
66	0.61	0.610369005048516	0.609166666666667	1.0019737428977	0.999395439405566
67	0.61	NA	NA	0.999638098733384	NA
68	0.61	NA	NA	0.996608656259143	NA
69	0.61	NA	NA	0.993916229497557	NA
70	0.61	NA	NA	0.991253469884818	NA
71	0.61	NA	NA	0.988619809595781	NA
72	0.61	NA	NA	0.986014696480316	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 0.5 & NA & NA & 1.0077305900219 & NA \tabularnewline
2 & 0.52 & NA & NA & 1.01256970959896 & NA \tabularnewline
3 & 0.52 & NA & NA & 1.00987840470441 & NA \tabularnewline
4 & 0.52 & NA & NA & 1.00721565494178 & NA \tabularnewline
5 & 0.52 & NA & NA & 1.00458093738425 & NA \tabularnewline
6 & 0.52 & NA & NA & 1.0019737428977 & NA \tabularnewline
7 & 0.52 & 0.518978779592415 & 0.519166666666667 & 0.999638098733384 & 1.00196774983437 \tabularnewline
8 & 0.52 & 0.518236501254754 & 0.52 & 0.996608656259143 & 1.00340288409052 \tabularnewline
9 & 0.52 & 0.516836439338729 & 0.52 & 0.993916229497557 & 1.00612100931838 \tabularnewline
10 & 0.52 & 0.515451804340105 & 0.52 & 0.991253469884818 & 1.0088237069336 \tabularnewline
11 & 0.52 & 0.514082300989806 & 0.52 & 0.988619809595781 & 1.01151118993749 \tabularnewline
12 & 0.52 & 0.512727642169764 & 0.52 & 0.986014696480316 & 1.0141836663993 \tabularnewline
13 & 0.52 & 0.524019906811389 & 0.52 & 1.0077305900219 & 0.992328713548595 \tabularnewline
14 & 0.52 & 0.526536248991457 & 0.52 & 1.01256970959896 & 0.98758632666986 \tabularnewline
15 & 0.52 & 0.525136770446291 & 0.52 & 1.00987840470441 & 0.990218223641193 \tabularnewline
16 & 0.52 & 0.523752140569727 & 0.52 & 1.00721565494178 & 0.992836037737917 \tabularnewline
17 & 0.52 & 0.522382087439812 & 0.52 & 1.00458093738425 & 0.995439951910512 \tabularnewline
18 & 0.52 & 0.521026346306805 & 0.52 & 1.0019737428977 & 0.998030145089438 \tabularnewline
19 & 0.52 & 0.51981181134136 & 0.52 & 0.999638098733384 & 1.00036203228656 \tabularnewline
20 & 0.52 & 0.519067008468303 & 0.520833333333333 & 0.996608656259143 & 1.00179743947597 \tabularnewline
21 & 0.52 & 0.519321229912473 & 0.5225 & 0.993916229497557 & 1.00130703319724 \tabularnewline
22 & 0.52 & 0.519582027131292 & 0.524166666666667 & 0.991253469884818 & 1.00080444058278 \tabularnewline
23 & 0.52 & 0.519849249879115 & 0.525833333333333 & 0.988619809595781 & 1.00028998814737 \tabularnewline
24 & 0.52 & 0.520122752393367 & 0.5275 & 0.986014696480316 & 0.99976399341732 \tabularnewline
25 & 0.52 & 0.533257437219923 & 0.529166666666667 & 1.0077305900219 & 0.975138767329643 \tabularnewline
26 & 0.54 & 0.537505754178779 & 0.530833333333333 & 1.01256970959896 & 1.00464040766416 \tabularnewline
27 & 0.54 & 0.537760250505097 & 0.5325 & 1.00987840470441 & 1.00416495918544 \tabularnewline
28 & 0.54 & 0.538021029014735 & 0.534166666666667 & 1.00721565494178 & 1.00367824095814 \tabularnewline
29 & 0.54 & 0.53828795228173 & 0.535833333333333 & 1.00458093738425 & 1.00318054251635 \tabularnewline
30 & 0.54 & 0.538560886807514 & 0.5375 & 1.0019737428977 & 1.00267214576427 \tabularnewline
31 & 0.54 & 0.541054120939444 & 0.54125 & 0.999638098733384 & 0.99805172736211 \tabularnewline
32 & 0.54 & 0.544397478481557 & 0.54625 & 0.996608656259143 & 0.991922301892687 \tabularnewline
33 & 0.54 & 0.547068057985947 & 0.550416666666667 & 0.993916229497557 & 0.987080112094338 \tabularnewline
34 & 0.54 & 0.549732653506955 & 0.554583333333333 & 0.991253469884818 & 0.982295660545419 \tabularnewline
35 & 0.54 & 0.552391318611642 & 0.55875 & 0.988619809595781 & 0.977567861416095 \tabularnewline
36 & 0.54 & 0.555044106227044 & 0.562916666666667 & 0.986014696480316 & 0.972895656294222 \tabularnewline
37 & 0.59 & 0.571467222091587 & 0.567083333333333 & 1.0077305900219 & 1.03243016780662 \tabularnewline
38 & 0.59 & 0.578430446608404 & 0.57125 & 1.01256970959896 & 1.02000163279688 \tabularnewline
39 & 0.59 & 0.581100865373661 & 0.575416666666667 & 1.00987840470441 & 1.01531426841125 \tabularnewline
40 & 0.59 & 0.583765406676674 & 0.579583333333333 & 1.00721565494178 & 1.01067996364981 \tabularnewline
41 & 0.59 & 0.586424122198059 & 0.58375 & 1.00458093738425 & 1.00609776724146 \tabularnewline
42 & 0.59 & 0.58907706301194 & 0.587916666666667 & 1.0019737428977 & 1.00156675084808 \tabularnewline
43 & 0.59 & 0.589786478252696 & 0.59 & 0.999638098733384 & 1.00036203228656 \tabularnewline
44 & 0.59 & 0.587999107192894 & 0.59 & 0.996608656259143 & 1.00340288409052 \tabularnewline
45 & 0.59 & 0.586410575403558 & 0.59 & 0.993916229497557 & 1.00612100931838 \tabularnewline
46 & 0.59 & 0.584839547232042 & 0.59 & 0.991253469884818 & 1.0088237069336 \tabularnewline
47 & 0.59 & 0.58328568766151 & 0.59 & 0.988619809595781 & 1.01151118993749 \tabularnewline
48 & 0.59 & 0.581748670923386 & 0.59 & 0.986014696480316 & 1.0141836663993 \tabularnewline
49 & 0.59 & 0.594561048112922 & 0.59 & 1.0077305900219 & 0.992328713548595 \tabularnewline
50 & 0.59 & 0.597416128663384 & 0.59 & 1.01256970959896 & 0.98758632666986 \tabularnewline
51 & 0.59 & 0.5958282587756 & 0.59 & 1.00987840470441 & 0.990218223641194 \tabularnewline
52 & 0.59 & 0.594257236415651 & 0.59 & 1.00721565494178 & 0.992836037737917 \tabularnewline
53 & 0.59 & 0.59270275305671 & 0.59 & 1.00458093738425 & 0.995439951910513 \tabularnewline
54 & 0.59 & 0.591164508309644 & 0.59 & 1.0019737428977 & 0.998030145089438 \tabularnewline
55 & 0.59 & 0.590619510001641 & 0.590833333333333 & 0.999638098733384 & 0.998951084427199 \tabularnewline
56 & 0.59 & 0.590490628833542 & 0.5925 & 0.996608656259143 & 0.999169116647099 \tabularnewline
57 & 0.59 & 0.590551893026465 & 0.594166666666667 & 0.993916229497557 & 0.999065462268461 \tabularnewline
58 & 0.59 & 0.590621859139704 & 0.595833333333333 & 0.991253469884818 & 0.998947111201388 \tabularnewline
59 & 0.59 & 0.590700336233479 & 0.5975 & 0.988619809595781 & 0.998814396758356 \tabularnewline
60 & 0.59 & 0.590787138974456 & 0.599166666666667 & 0.986014696480316 & 0.998667643686655 \tabularnewline
61 & 0.61 & 0.605478129504826 & 0.600833333333333 & 1.0077305900219 & 1.00746826396334 \tabularnewline
62 & 0.61 & 0.610073250033371 & 0.6025 & 1.01256970959896 & 0.999879932396041 \tabularnewline
63 & 0.61 & 0.610134869508912 & 0.604166666666667 & 1.00987840470441 & 0.999778951317729 \tabularnewline
64 & 0.61 & 0.610204817618896 & 0.605833333333333 & 1.00721565494178 & 0.999664346113006 \tabularnewline
65 & 0.61 & 0.610282919460935 & 0.6075 & 1.00458093738425 & 0.999536412617963 \tabularnewline
66 & 0.61 & 0.610369005048516 & 0.609166666666667 & 1.0019737428977 & 0.999395439405566 \tabularnewline
67 & 0.61 & NA & NA & 0.999638098733384 & NA \tabularnewline
68 & 0.61 & NA & NA & 0.996608656259143 & NA \tabularnewline
69 & 0.61 & NA & NA & 0.993916229497557 & NA \tabularnewline
70 & 0.61 & NA & NA & 0.991253469884818 & NA \tabularnewline
71 & 0.61 & NA & NA & 0.988619809595781 & NA \tabularnewline
72 & 0.61 & NA & NA & 0.986014696480316 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209196&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]0.5[/C][C]NA[/C][C]NA[/C][C]1.0077305900219[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]1.01256970959896[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]1.00987840470441[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]1.00721565494178[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]1.00458093738425[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]1.0019737428977[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]0.52[/C][C]0.518978779592415[/C][C]0.519166666666667[/C][C]0.999638098733384[/C][C]1.00196774983437[/C][/ROW]
[ROW][C]8[/C][C]0.52[/C][C]0.518236501254754[/C][C]0.52[/C][C]0.996608656259143[/C][C]1.00340288409052[/C][/ROW]
[ROW][C]9[/C][C]0.52[/C][C]0.516836439338729[/C][C]0.52[/C][C]0.993916229497557[/C][C]1.00612100931838[/C][/ROW]
[ROW][C]10[/C][C]0.52[/C][C]0.515451804340105[/C][C]0.52[/C][C]0.991253469884818[/C][C]1.0088237069336[/C][/ROW]
[ROW][C]11[/C][C]0.52[/C][C]0.514082300989806[/C][C]0.52[/C][C]0.988619809595781[/C][C]1.01151118993749[/C][/ROW]
[ROW][C]12[/C][C]0.52[/C][C]0.512727642169764[/C][C]0.52[/C][C]0.986014696480316[/C][C]1.0141836663993[/C][/ROW]
[ROW][C]13[/C][C]0.52[/C][C]0.524019906811389[/C][C]0.52[/C][C]1.0077305900219[/C][C]0.992328713548595[/C][/ROW]
[ROW][C]14[/C][C]0.52[/C][C]0.526536248991457[/C][C]0.52[/C][C]1.01256970959896[/C][C]0.98758632666986[/C][/ROW]
[ROW][C]15[/C][C]0.52[/C][C]0.525136770446291[/C][C]0.52[/C][C]1.00987840470441[/C][C]0.990218223641193[/C][/ROW]
[ROW][C]16[/C][C]0.52[/C][C]0.523752140569727[/C][C]0.52[/C][C]1.00721565494178[/C][C]0.992836037737917[/C][/ROW]
[ROW][C]17[/C][C]0.52[/C][C]0.522382087439812[/C][C]0.52[/C][C]1.00458093738425[/C][C]0.995439951910512[/C][/ROW]
[ROW][C]18[/C][C]0.52[/C][C]0.521026346306805[/C][C]0.52[/C][C]1.0019737428977[/C][C]0.998030145089438[/C][/ROW]
[ROW][C]19[/C][C]0.52[/C][C]0.51981181134136[/C][C]0.52[/C][C]0.999638098733384[/C][C]1.00036203228656[/C][/ROW]
[ROW][C]20[/C][C]0.52[/C][C]0.519067008468303[/C][C]0.520833333333333[/C][C]0.996608656259143[/C][C]1.00179743947597[/C][/ROW]
[ROW][C]21[/C][C]0.52[/C][C]0.519321229912473[/C][C]0.5225[/C][C]0.993916229497557[/C][C]1.00130703319724[/C][/ROW]
[ROW][C]22[/C][C]0.52[/C][C]0.519582027131292[/C][C]0.524166666666667[/C][C]0.991253469884818[/C][C]1.00080444058278[/C][/ROW]
[ROW][C]23[/C][C]0.52[/C][C]0.519849249879115[/C][C]0.525833333333333[/C][C]0.988619809595781[/C][C]1.00028998814737[/C][/ROW]
[ROW][C]24[/C][C]0.52[/C][C]0.520122752393367[/C][C]0.5275[/C][C]0.986014696480316[/C][C]0.99976399341732[/C][/ROW]
[ROW][C]25[/C][C]0.52[/C][C]0.533257437219923[/C][C]0.529166666666667[/C][C]1.0077305900219[/C][C]0.975138767329643[/C][/ROW]
[ROW][C]26[/C][C]0.54[/C][C]0.537505754178779[/C][C]0.530833333333333[/C][C]1.01256970959896[/C][C]1.00464040766416[/C][/ROW]
[ROW][C]27[/C][C]0.54[/C][C]0.537760250505097[/C][C]0.5325[/C][C]1.00987840470441[/C][C]1.00416495918544[/C][/ROW]
[ROW][C]28[/C][C]0.54[/C][C]0.538021029014735[/C][C]0.534166666666667[/C][C]1.00721565494178[/C][C]1.00367824095814[/C][/ROW]
[ROW][C]29[/C][C]0.54[/C][C]0.53828795228173[/C][C]0.535833333333333[/C][C]1.00458093738425[/C][C]1.00318054251635[/C][/ROW]
[ROW][C]30[/C][C]0.54[/C][C]0.538560886807514[/C][C]0.5375[/C][C]1.0019737428977[/C][C]1.00267214576427[/C][/ROW]
[ROW][C]31[/C][C]0.54[/C][C]0.541054120939444[/C][C]0.54125[/C][C]0.999638098733384[/C][C]0.99805172736211[/C][/ROW]
[ROW][C]32[/C][C]0.54[/C][C]0.544397478481557[/C][C]0.54625[/C][C]0.996608656259143[/C][C]0.991922301892687[/C][/ROW]
[ROW][C]33[/C][C]0.54[/C][C]0.547068057985947[/C][C]0.550416666666667[/C][C]0.993916229497557[/C][C]0.987080112094338[/C][/ROW]
[ROW][C]34[/C][C]0.54[/C][C]0.549732653506955[/C][C]0.554583333333333[/C][C]0.991253469884818[/C][C]0.982295660545419[/C][/ROW]
[ROW][C]35[/C][C]0.54[/C][C]0.552391318611642[/C][C]0.55875[/C][C]0.988619809595781[/C][C]0.977567861416095[/C][/ROW]
[ROW][C]36[/C][C]0.54[/C][C]0.555044106227044[/C][C]0.562916666666667[/C][C]0.986014696480316[/C][C]0.972895656294222[/C][/ROW]
[ROW][C]37[/C][C]0.59[/C][C]0.571467222091587[/C][C]0.567083333333333[/C][C]1.0077305900219[/C][C]1.03243016780662[/C][/ROW]
[ROW][C]38[/C][C]0.59[/C][C]0.578430446608404[/C][C]0.57125[/C][C]1.01256970959896[/C][C]1.02000163279688[/C][/ROW]
[ROW][C]39[/C][C]0.59[/C][C]0.581100865373661[/C][C]0.575416666666667[/C][C]1.00987840470441[/C][C]1.01531426841125[/C][/ROW]
[ROW][C]40[/C][C]0.59[/C][C]0.583765406676674[/C][C]0.579583333333333[/C][C]1.00721565494178[/C][C]1.01067996364981[/C][/ROW]
[ROW][C]41[/C][C]0.59[/C][C]0.586424122198059[/C][C]0.58375[/C][C]1.00458093738425[/C][C]1.00609776724146[/C][/ROW]
[ROW][C]42[/C][C]0.59[/C][C]0.58907706301194[/C][C]0.587916666666667[/C][C]1.0019737428977[/C][C]1.00156675084808[/C][/ROW]
[ROW][C]43[/C][C]0.59[/C][C]0.589786478252696[/C][C]0.59[/C][C]0.999638098733384[/C][C]1.00036203228656[/C][/ROW]
[ROW][C]44[/C][C]0.59[/C][C]0.587999107192894[/C][C]0.59[/C][C]0.996608656259143[/C][C]1.00340288409052[/C][/ROW]
[ROW][C]45[/C][C]0.59[/C][C]0.586410575403558[/C][C]0.59[/C][C]0.993916229497557[/C][C]1.00612100931838[/C][/ROW]
[ROW][C]46[/C][C]0.59[/C][C]0.584839547232042[/C][C]0.59[/C][C]0.991253469884818[/C][C]1.0088237069336[/C][/ROW]
[ROW][C]47[/C][C]0.59[/C][C]0.58328568766151[/C][C]0.59[/C][C]0.988619809595781[/C][C]1.01151118993749[/C][/ROW]
[ROW][C]48[/C][C]0.59[/C][C]0.581748670923386[/C][C]0.59[/C][C]0.986014696480316[/C][C]1.0141836663993[/C][/ROW]
[ROW][C]49[/C][C]0.59[/C][C]0.594561048112922[/C][C]0.59[/C][C]1.0077305900219[/C][C]0.992328713548595[/C][/ROW]
[ROW][C]50[/C][C]0.59[/C][C]0.597416128663384[/C][C]0.59[/C][C]1.01256970959896[/C][C]0.98758632666986[/C][/ROW]
[ROW][C]51[/C][C]0.59[/C][C]0.5958282587756[/C][C]0.59[/C][C]1.00987840470441[/C][C]0.990218223641194[/C][/ROW]
[ROW][C]52[/C][C]0.59[/C][C]0.594257236415651[/C][C]0.59[/C][C]1.00721565494178[/C][C]0.992836037737917[/C][/ROW]
[ROW][C]53[/C][C]0.59[/C][C]0.59270275305671[/C][C]0.59[/C][C]1.00458093738425[/C][C]0.995439951910513[/C][/ROW]
[ROW][C]54[/C][C]0.59[/C][C]0.591164508309644[/C][C]0.59[/C][C]1.0019737428977[/C][C]0.998030145089438[/C][/ROW]
[ROW][C]55[/C][C]0.59[/C][C]0.590619510001641[/C][C]0.590833333333333[/C][C]0.999638098733384[/C][C]0.998951084427199[/C][/ROW]
[ROW][C]56[/C][C]0.59[/C][C]0.590490628833542[/C][C]0.5925[/C][C]0.996608656259143[/C][C]0.999169116647099[/C][/ROW]
[ROW][C]57[/C][C]0.59[/C][C]0.590551893026465[/C][C]0.594166666666667[/C][C]0.993916229497557[/C][C]0.999065462268461[/C][/ROW]
[ROW][C]58[/C][C]0.59[/C][C]0.590621859139704[/C][C]0.595833333333333[/C][C]0.991253469884818[/C][C]0.998947111201388[/C][/ROW]
[ROW][C]59[/C][C]0.59[/C][C]0.590700336233479[/C][C]0.5975[/C][C]0.988619809595781[/C][C]0.998814396758356[/C][/ROW]
[ROW][C]60[/C][C]0.59[/C][C]0.590787138974456[/C][C]0.599166666666667[/C][C]0.986014696480316[/C][C]0.998667643686655[/C][/ROW]
[ROW][C]61[/C][C]0.61[/C][C]0.605478129504826[/C][C]0.600833333333333[/C][C]1.0077305900219[/C][C]1.00746826396334[/C][/ROW]
[ROW][C]62[/C][C]0.61[/C][C]0.610073250033371[/C][C]0.6025[/C][C]1.01256970959896[/C][C]0.999879932396041[/C][/ROW]
[ROW][C]63[/C][C]0.61[/C][C]0.610134869508912[/C][C]0.604166666666667[/C][C]1.00987840470441[/C][C]0.999778951317729[/C][/ROW]
[ROW][C]64[/C][C]0.61[/C][C]0.610204817618896[/C][C]0.605833333333333[/C][C]1.00721565494178[/C][C]0.999664346113006[/C][/ROW]
[ROW][C]65[/C][C]0.61[/C][C]0.610282919460935[/C][C]0.6075[/C][C]1.00458093738425[/C][C]0.999536412617963[/C][/ROW]
[ROW][C]66[/C][C]0.61[/C][C]0.610369005048516[/C][C]0.609166666666667[/C][C]1.0019737428977[/C][C]0.999395439405566[/C][/ROW]
[ROW][C]67[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.999638098733384[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.996608656259143[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.993916229497557[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.991253469884818[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.988619809595781[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]0.61[/C][C]NA[/C][C]NA[/C][C]0.986014696480316[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209196&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209196&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	0.5	NA	NA	1.0077305900219	NA
2	0.52	NA	NA	1.01256970959896	NA
3	0.52	NA	NA	1.00987840470441	NA
4	0.52	NA	NA	1.00721565494178	NA
5	0.52	NA	NA	1.00458093738425	NA
6	0.52	NA	NA	1.0019737428977	NA
7	0.52	0.518978779592415	0.519166666666667	0.999638098733384	1.00196774983437
8	0.52	0.518236501254754	0.52	0.996608656259143	1.00340288409052
9	0.52	0.516836439338729	0.52	0.993916229497557	1.00612100931838
10	0.52	0.515451804340105	0.52	0.991253469884818	1.0088237069336
11	0.52	0.514082300989806	0.52	0.988619809595781	1.01151118993749
12	0.52	0.512727642169764	0.52	0.986014696480316	1.0141836663993
13	0.52	0.524019906811389	0.52	1.0077305900219	0.992328713548595
14	0.52	0.526536248991457	0.52	1.01256970959896	0.98758632666986
15	0.52	0.525136770446291	0.52	1.00987840470441	0.990218223641193
16	0.52	0.523752140569727	0.52	1.00721565494178	0.992836037737917
17	0.52	0.522382087439812	0.52	1.00458093738425	0.995439951910512
18	0.52	0.521026346306805	0.52	1.0019737428977	0.998030145089438
19	0.52	0.51981181134136	0.52	0.999638098733384	1.00036203228656
20	0.52	0.519067008468303	0.520833333333333	0.996608656259143	1.00179743947597
21	0.52	0.519321229912473	0.5225	0.993916229497557	1.00130703319724
22	0.52	0.519582027131292	0.524166666666667	0.991253469884818	1.00080444058278
23	0.52	0.519849249879115	0.525833333333333	0.988619809595781	1.00028998814737
24	0.52	0.520122752393367	0.5275	0.986014696480316	0.99976399341732
25	0.52	0.533257437219923	0.529166666666667	1.0077305900219	0.975138767329643
26	0.54	0.537505754178779	0.530833333333333	1.01256970959896	1.00464040766416
27	0.54	0.537760250505097	0.5325	1.00987840470441	1.00416495918544
28	0.54	0.538021029014735	0.534166666666667	1.00721565494178	1.00367824095814
29	0.54	0.53828795228173	0.535833333333333	1.00458093738425	1.00318054251635
30	0.54	0.538560886807514	0.5375	1.0019737428977	1.00267214576427
31	0.54	0.541054120939444	0.54125	0.999638098733384	0.99805172736211
32	0.54	0.544397478481557	0.54625	0.996608656259143	0.991922301892687
33	0.54	0.547068057985947	0.550416666666667	0.993916229497557	0.987080112094338
34	0.54	0.549732653506955	0.554583333333333	0.991253469884818	0.982295660545419
35	0.54	0.552391318611642	0.55875	0.988619809595781	0.977567861416095
36	0.54	0.555044106227044	0.562916666666667	0.986014696480316	0.972895656294222
37	0.59	0.571467222091587	0.567083333333333	1.0077305900219	1.03243016780662
38	0.59	0.578430446608404	0.57125	1.01256970959896	1.02000163279688
39	0.59	0.581100865373661	0.575416666666667	1.00987840470441	1.01531426841125
40	0.59	0.583765406676674	0.579583333333333	1.00721565494178	1.01067996364981
41	0.59	0.586424122198059	0.58375	1.00458093738425	1.00609776724146
42	0.59	0.58907706301194	0.587916666666667	1.0019737428977	1.00156675084808
43	0.59	0.589786478252696	0.59	0.999638098733384	1.00036203228656
44	0.59	0.587999107192894	0.59	0.996608656259143	1.00340288409052
45	0.59	0.586410575403558	0.59	0.993916229497557	1.00612100931838
46	0.59	0.584839547232042	0.59	0.991253469884818	1.0088237069336
47	0.59	0.58328568766151	0.59	0.988619809595781	1.01151118993749
48	0.59	0.581748670923386	0.59	0.986014696480316	1.0141836663993
49	0.59	0.594561048112922	0.59	1.0077305900219	0.992328713548595
50	0.59	0.597416128663384	0.59	1.01256970959896	0.98758632666986
51	0.59	0.5958282587756	0.59	1.00987840470441	0.990218223641194
52	0.59	0.594257236415651	0.59	1.00721565494178	0.992836037737917
53	0.59	0.59270275305671	0.59	1.00458093738425	0.995439951910513
54	0.59	0.591164508309644	0.59	1.0019737428977	0.998030145089438
55	0.59	0.590619510001641	0.590833333333333	0.999638098733384	0.998951084427199
56	0.59	0.590490628833542	0.5925	0.996608656259143	0.999169116647099
57	0.59	0.590551893026465	0.594166666666667	0.993916229497557	0.999065462268461
58	0.59	0.590621859139704	0.595833333333333	0.991253469884818	0.998947111201388
59	0.59	0.590700336233479	0.5975	0.988619809595781	0.998814396758356
60	0.59	0.590787138974456	0.599166666666667	0.986014696480316	0.998667643686655
61	0.61	0.605478129504826	0.600833333333333	1.0077305900219	1.00746826396334
62	0.61	0.610073250033371	0.6025	1.01256970959896	0.999879932396041
63	0.61	0.610134869508912	0.604166666666667	1.00987840470441	0.999778951317729
64	0.61	0.610204817618896	0.605833333333333	1.00721565494178	0.999664346113006
65	0.61	0.610282919460935	0.6075	1.00458093738425	0.999536412617963
66	0.61	0.610369005048516	0.609166666666667	1.0019737428977	0.999395439405566
67	0.61	NA	NA	0.999638098733384	NA
68	0.61	NA	NA	0.996608656259143	NA
69	0.61	NA	NA	0.993916229497557	NA
70	0.61	NA	NA	0.991253469884818	NA
71	0.61	NA	NA	0.988619809595781	NA
72	0.61	NA	NA	0.986014696480316	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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