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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 03 Dec 2012 05:55:09 -0500

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/Dec/03/t1354532145hi5pl3x2jn15c44.htm/, Retrieved Thu, 13 Aug 2026 12:32:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195685, Retrieved Thu, 13 Aug 2026 12:32:53 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

375

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

-       [Classical Decomposition] [] [2012-12-03 10:55:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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Boxplots

0,9
0,9
0,9
0,9
0,9
0,91
0,91
0,91
0,91
0,91
0,92
0,92
0,92
0,92
0,92
0,93
0,93
0,93
0,93
0,93
0,92
0,93
0,93
0,93
0,94
0,95
0,95
0,96
0,97
0,97
0,97
0,98
0,98
0,98
0,98
0,98
0,98
1
1,01
1,01
1,02
1,02
1,02
1,02
1,03
1,03
1,03
1,03
1,03
1,04
1,05
1,05
1,05
1,05
1,06
1,06
1,06
1,06
1,06
1,06
1,06
1,07
1,08
1,09
1,09
1,09
1,09
1,09
1,09
1,09
1,09
1,09

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195685&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]7 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=195685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195685&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	7 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	0.9	NA	NA	0.992567921514469	NA
2	0.9	NA	NA	0.999481897400849	NA
3	0.9	NA	NA	1.00224605031953	NA
4	0.9	NA	NA	1.00534813126609	NA
5	0.9	NA	NA	1.00649309984611	NA
6	0.91	NA	NA	1.00367099926547	NA
7	0.91	0.910548011837685	0.908333333333333	1.00243817816993	0.999398151628953
8	0.91	0.911542793948232	0.91	1.00169537796509	0.998307491476566
9	0.91	0.910326870976663	0.911666666666666	0.99853038863985	0.99964093010205
10	0.91	0.911512175053725	0.91375	0.997550943971245	0.998341025940069
11	0.92	0.913077375294444	0.91625	0.996537380948916	1.0075816408257
12	0.92	0.912308727519244	0.918333333333333	0.993439630692462	1.00843055892019
13	0.92	0.913162487793311	0.92	0.992567921514469	1.00748772786671
14	0.92	0.921189148771115	0.921666666666667	0.999481897400849	0.998709115524535
15	0.92	0.924989583940731	0.922916666666667	1.00224605031953	0.994605794457194
16	0.93	0.929109231311741	0.924166666666667	1.00534813126609	1.00095873408448
17	0.93	0.931425489482586	0.925416666666667	1.00649309984611	0.998469561442454
18	0.93	0.929650263069639	0.92625	1.00367099926547	1.00037620269068
19	0.93	0.929761410252609	0.9275	1.00243817816993	1.0002566139493
20	0.93	0.931159328433382	0.929583333333333	1.00169537796509	0.998754962337828
21	0.92	0.93071353307806	0.932083333333333	0.99853038863985	0.988488903731067
22	0.93	0.93229448638646	0.934583333333333	0.997550943971245	0.997538882381089
23	0.93	0.934253794639609	0.9375	0.996537380948916	0.995446853238365
24	0.93	0.934661119209825	0.940833333333333	0.993439630692462	0.995013038293745
25	0.94	0.937149545896578	0.944166666666667	0.992567921514469	1.00304162138893
26	0.95	0.947425548577888	0.947916666666667	0.999481897400849	1.0027173126437
27	0.95	0.954639362929351	0.9525	1.00224605031953	0.995140193135223
28	0.96	0.962201940632582	0.957083333333333	1.00534813126609	0.997711560806939
29	0.97	0.967491492227071	0.96125	1.00649309984611	1.00259279569183
30	0.97	0.968960710540869	0.965416666666666	1.00367099926547	1.00107258163084
31	0.97	0.971529667676355	0.969166666666667	1.00243817816993	0.99842550595494
32	0.98	0.974566128145203	0.972916666666666	1.00169537796509	1.00557568306333
33	0.98	0.976063454895453	0.9775	0.99853038863985	1.00403308318204
34	0.98	0.979678156225094	0.982083333333333	0.997550943971245	1.00032851990509
35	0.98	0.982834991960869	0.98625	0.996537380948916	0.997115495496134
36	0.98	0.983919167564993	0.990416666666667	0.993439630692462	0.996016778924338
37	0.98	0.987191511939599	0.994583333333333	0.992567921514469	0.992715180537291
38	1	0.997816094238514	0.998333333333333	0.999481897400849	1.00218868564468
39	1.01	1.00433406292436	1.00208333333333	1.00224605031953	1.00564148651808
40	1.01	1.0116315570865	1.00625	1.00534813126609	0.998387202262455
41	1.02	1.0169774029695	1.01041666666667	1.00649309984611	1.00297213784856
42	1.02	1.01830786800475	1.01458333333333	1.00367099926547	1.00166170963459
43	1.02	1.02123389401061	1.01875	1.00243817816993	0.998791761595604
44	1.02	1.02423352396931	1.0225	1.00169537796509	0.995866641864154
45	1.03	1.02432575701305	1.02583333333333	0.99853038863985	1.00553949068263
46	1.03	1.02664617983707	1.02916666666667	0.997550943971245	1.00326677313839
47	1.03	1.02850962192103	1.03208333333333	0.996537380948916	1.00144906576196
48	1.03	1.02779608458724	1.03458333333333	0.993439630692462	1.00214431193678
49	1.03	1.02978921857126	1.0375	0.992567921514469	1.00020468405081
50	1.04	1.04029407487805	1.04083333333333	0.999481897400849	0.999717315627233
51	1.05	1.04609431502101	1.04375	1.00224605031953	1.00373358780648
52	1.05	1.05184548233714	1.04625	1.00534813126609	0.998245481519737
53	1.05	1.05555963846361	1.04875	1.00649309984611	0.994732994459983
54	1.05	1.05510913797782	1.05125	1.00367099926547	0.995157716113033
55	1.06	1.05631923024656	1.05375	1.00243817816993	1.00348452404164
56	1.06	1.05804074297563	1.05625	1.00169537796509	1.00185177842855
57	1.06	1.05719404897244	1.05875	0.99853038863985	1.00265414947264
58	1.06	1.05906658551614	1.06166666666667	0.997550943971245	1.00088135580579
59	1.06	1.0613123107106	1.065	0.996537380948916	0.998763501848276
60	1.06	1.06132467212311	1.06833333333333	0.993439630692462	0.998751869095379
61	1.06	1.06328838592238	1.07125	0.992567921514469	0.996907343326691
62	1.07	1.07319368733416	1.07375	0.999481897400849	0.997024127730294
63	1.08	1.07866731165639	1.07625	1.00224605031953	1.00123549525345
64	1.09	1.08451929660329	1.07875	1.00534813126609	1.00505357849683
65	1.09	1.0882706642086	1.08125	1.00649309984611	1.00158906772761
66	1.09	1.08772844545395	1.08375	1.00367099926547	1.00208834710129
67	1.09	NA	NA	1.00243817816993	NA
68	1.09	NA	NA	1.00169537796509	NA
69	1.09	NA	NA	0.99853038863985	NA
70	1.09	NA	NA	0.997550943971245	NA
71	1.09	NA	NA	0.996537380948916	NA
72	1.09	NA	NA	0.993439630692462	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 0.9 & NA & NA & 0.992567921514469 & NA \tabularnewline
2 & 0.9 & NA & NA & 0.999481897400849 & NA \tabularnewline
3 & 0.9 & NA & NA & 1.00224605031953 & NA \tabularnewline
4 & 0.9 & NA & NA & 1.00534813126609 & NA \tabularnewline
5 & 0.9 & NA & NA & 1.00649309984611 & NA \tabularnewline
6 & 0.91 & NA & NA & 1.00367099926547 & NA \tabularnewline
7 & 0.91 & 0.910548011837685 & 0.908333333333333 & 1.00243817816993 & 0.999398151628953 \tabularnewline
8 & 0.91 & 0.911542793948232 & 0.91 & 1.00169537796509 & 0.998307491476566 \tabularnewline
9 & 0.91 & 0.910326870976663 & 0.911666666666666 & 0.99853038863985 & 0.99964093010205 \tabularnewline
10 & 0.91 & 0.911512175053725 & 0.91375 & 0.997550943971245 & 0.998341025940069 \tabularnewline
11 & 0.92 & 0.913077375294444 & 0.91625 & 0.996537380948916 & 1.0075816408257 \tabularnewline
12 & 0.92 & 0.912308727519244 & 0.918333333333333 & 0.993439630692462 & 1.00843055892019 \tabularnewline
13 & 0.92 & 0.913162487793311 & 0.92 & 0.992567921514469 & 1.00748772786671 \tabularnewline
14 & 0.92 & 0.921189148771115 & 0.921666666666667 & 0.999481897400849 & 0.998709115524535 \tabularnewline
15 & 0.92 & 0.924989583940731 & 0.922916666666667 & 1.00224605031953 & 0.994605794457194 \tabularnewline
16 & 0.93 & 0.929109231311741 & 0.924166666666667 & 1.00534813126609 & 1.00095873408448 \tabularnewline
17 & 0.93 & 0.931425489482586 & 0.925416666666667 & 1.00649309984611 & 0.998469561442454 \tabularnewline
18 & 0.93 & 0.929650263069639 & 0.92625 & 1.00367099926547 & 1.00037620269068 \tabularnewline
19 & 0.93 & 0.929761410252609 & 0.9275 & 1.00243817816993 & 1.0002566139493 \tabularnewline
20 & 0.93 & 0.931159328433382 & 0.929583333333333 & 1.00169537796509 & 0.998754962337828 \tabularnewline
21 & 0.92 & 0.93071353307806 & 0.932083333333333 & 0.99853038863985 & 0.988488903731067 \tabularnewline
22 & 0.93 & 0.93229448638646 & 0.934583333333333 & 0.997550943971245 & 0.997538882381089 \tabularnewline
23 & 0.93 & 0.934253794639609 & 0.9375 & 0.996537380948916 & 0.995446853238365 \tabularnewline
24 & 0.93 & 0.934661119209825 & 0.940833333333333 & 0.993439630692462 & 0.995013038293745 \tabularnewline
25 & 0.94 & 0.937149545896578 & 0.944166666666667 & 0.992567921514469 & 1.00304162138893 \tabularnewline
26 & 0.95 & 0.947425548577888 & 0.947916666666667 & 0.999481897400849 & 1.0027173126437 \tabularnewline
27 & 0.95 & 0.954639362929351 & 0.9525 & 1.00224605031953 & 0.995140193135223 \tabularnewline
28 & 0.96 & 0.962201940632582 & 0.957083333333333 & 1.00534813126609 & 0.997711560806939 \tabularnewline
29 & 0.97 & 0.967491492227071 & 0.96125 & 1.00649309984611 & 1.00259279569183 \tabularnewline
30 & 0.97 & 0.968960710540869 & 0.965416666666666 & 1.00367099926547 & 1.00107258163084 \tabularnewline
31 & 0.97 & 0.971529667676355 & 0.969166666666667 & 1.00243817816993 & 0.99842550595494 \tabularnewline
32 & 0.98 & 0.974566128145203 & 0.972916666666666 & 1.00169537796509 & 1.00557568306333 \tabularnewline
33 & 0.98 & 0.976063454895453 & 0.9775 & 0.99853038863985 & 1.00403308318204 \tabularnewline
34 & 0.98 & 0.979678156225094 & 0.982083333333333 & 0.997550943971245 & 1.00032851990509 \tabularnewline
35 & 0.98 & 0.982834991960869 & 0.98625 & 0.996537380948916 & 0.997115495496134 \tabularnewline
36 & 0.98 & 0.983919167564993 & 0.990416666666667 & 0.993439630692462 & 0.996016778924338 \tabularnewline
37 & 0.98 & 0.987191511939599 & 0.994583333333333 & 0.992567921514469 & 0.992715180537291 \tabularnewline
38 & 1 & 0.997816094238514 & 0.998333333333333 & 0.999481897400849 & 1.00218868564468 \tabularnewline
39 & 1.01 & 1.00433406292436 & 1.00208333333333 & 1.00224605031953 & 1.00564148651808 \tabularnewline
40 & 1.01 & 1.0116315570865 & 1.00625 & 1.00534813126609 & 0.998387202262455 \tabularnewline
41 & 1.02 & 1.0169774029695 & 1.01041666666667 & 1.00649309984611 & 1.00297213784856 \tabularnewline
42 & 1.02 & 1.01830786800475 & 1.01458333333333 & 1.00367099926547 & 1.00166170963459 \tabularnewline
43 & 1.02 & 1.02123389401061 & 1.01875 & 1.00243817816993 & 0.998791761595604 \tabularnewline
44 & 1.02 & 1.02423352396931 & 1.0225 & 1.00169537796509 & 0.995866641864154 \tabularnewline
45 & 1.03 & 1.02432575701305 & 1.02583333333333 & 0.99853038863985 & 1.00553949068263 \tabularnewline
46 & 1.03 & 1.02664617983707 & 1.02916666666667 & 0.997550943971245 & 1.00326677313839 \tabularnewline
47 & 1.03 & 1.02850962192103 & 1.03208333333333 & 0.996537380948916 & 1.00144906576196 \tabularnewline
48 & 1.03 & 1.02779608458724 & 1.03458333333333 & 0.993439630692462 & 1.00214431193678 \tabularnewline
49 & 1.03 & 1.02978921857126 & 1.0375 & 0.992567921514469 & 1.00020468405081 \tabularnewline
50 & 1.04 & 1.04029407487805 & 1.04083333333333 & 0.999481897400849 & 0.999717315627233 \tabularnewline
51 & 1.05 & 1.04609431502101 & 1.04375 & 1.00224605031953 & 1.00373358780648 \tabularnewline
52 & 1.05 & 1.05184548233714 & 1.04625 & 1.00534813126609 & 0.998245481519737 \tabularnewline
53 & 1.05 & 1.05555963846361 & 1.04875 & 1.00649309984611 & 0.994732994459983 \tabularnewline
54 & 1.05 & 1.05510913797782 & 1.05125 & 1.00367099926547 & 0.995157716113033 \tabularnewline
55 & 1.06 & 1.05631923024656 & 1.05375 & 1.00243817816993 & 1.00348452404164 \tabularnewline
56 & 1.06 & 1.05804074297563 & 1.05625 & 1.00169537796509 & 1.00185177842855 \tabularnewline
57 & 1.06 & 1.05719404897244 & 1.05875 & 0.99853038863985 & 1.00265414947264 \tabularnewline
58 & 1.06 & 1.05906658551614 & 1.06166666666667 & 0.997550943971245 & 1.00088135580579 \tabularnewline
59 & 1.06 & 1.0613123107106 & 1.065 & 0.996537380948916 & 0.998763501848276 \tabularnewline
60 & 1.06 & 1.06132467212311 & 1.06833333333333 & 0.993439630692462 & 0.998751869095379 \tabularnewline
61 & 1.06 & 1.06328838592238 & 1.07125 & 0.992567921514469 & 0.996907343326691 \tabularnewline
62 & 1.07 & 1.07319368733416 & 1.07375 & 0.999481897400849 & 0.997024127730294 \tabularnewline
63 & 1.08 & 1.07866731165639 & 1.07625 & 1.00224605031953 & 1.00123549525345 \tabularnewline
64 & 1.09 & 1.08451929660329 & 1.07875 & 1.00534813126609 & 1.00505357849683 \tabularnewline
65 & 1.09 & 1.0882706642086 & 1.08125 & 1.00649309984611 & 1.00158906772761 \tabularnewline
66 & 1.09 & 1.08772844545395 & 1.08375 & 1.00367099926547 & 1.00208834710129 \tabularnewline
67 & 1.09 & NA & NA & 1.00243817816993 & NA \tabularnewline
68 & 1.09 & NA & NA & 1.00169537796509 & NA \tabularnewline
69 & 1.09 & NA & NA & 0.99853038863985 & NA \tabularnewline
70 & 1.09 & NA & NA & 0.997550943971245 & NA \tabularnewline
71 & 1.09 & NA & NA & 0.996537380948916 & NA \tabularnewline
72 & 1.09 & NA & NA & 0.993439630692462 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195685&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]0.9[/C][C]NA[/C][C]NA[/C][C]0.992567921514469[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]0.9[/C][C]NA[/C][C]NA[/C][C]0.999481897400849[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]0.9[/C][C]NA[/C][C]NA[/C][C]1.00224605031953[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]0.9[/C][C]NA[/C][C]NA[/C][C]1.00534813126609[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]0.9[/C][C]NA[/C][C]NA[/C][C]1.00649309984611[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]0.91[/C][C]NA[/C][C]NA[/C][C]1.00367099926547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]0.91[/C][C]0.910548011837685[/C][C]0.908333333333333[/C][C]1.00243817816993[/C][C]0.999398151628953[/C][/ROW]
[ROW][C]8[/C][C]0.91[/C][C]0.911542793948232[/C][C]0.91[/C][C]1.00169537796509[/C][C]0.998307491476566[/C][/ROW]
[ROW][C]9[/C][C]0.91[/C][C]0.910326870976663[/C][C]0.911666666666666[/C][C]0.99853038863985[/C][C]0.99964093010205[/C][/ROW]
[ROW][C]10[/C][C]0.91[/C][C]0.911512175053725[/C][C]0.91375[/C][C]0.997550943971245[/C][C]0.998341025940069[/C][/ROW]
[ROW][C]11[/C][C]0.92[/C][C]0.913077375294444[/C][C]0.91625[/C][C]0.996537380948916[/C][C]1.0075816408257[/C][/ROW]
[ROW][C]12[/C][C]0.92[/C][C]0.912308727519244[/C][C]0.918333333333333[/C][C]0.993439630692462[/C][C]1.00843055892019[/C][/ROW]
[ROW][C]13[/C][C]0.92[/C][C]0.913162487793311[/C][C]0.92[/C][C]0.992567921514469[/C][C]1.00748772786671[/C][/ROW]
[ROW][C]14[/C][C]0.92[/C][C]0.921189148771115[/C][C]0.921666666666667[/C][C]0.999481897400849[/C][C]0.998709115524535[/C][/ROW]
[ROW][C]15[/C][C]0.92[/C][C]0.924989583940731[/C][C]0.922916666666667[/C][C]1.00224605031953[/C][C]0.994605794457194[/C][/ROW]
[ROW][C]16[/C][C]0.93[/C][C]0.929109231311741[/C][C]0.924166666666667[/C][C]1.00534813126609[/C][C]1.00095873408448[/C][/ROW]
[ROW][C]17[/C][C]0.93[/C][C]0.931425489482586[/C][C]0.925416666666667[/C][C]1.00649309984611[/C][C]0.998469561442454[/C][/ROW]
[ROW][C]18[/C][C]0.93[/C][C]0.929650263069639[/C][C]0.92625[/C][C]1.00367099926547[/C][C]1.00037620269068[/C][/ROW]
[ROW][C]19[/C][C]0.93[/C][C]0.929761410252609[/C][C]0.9275[/C][C]1.00243817816993[/C][C]1.0002566139493[/C][/ROW]
[ROW][C]20[/C][C]0.93[/C][C]0.931159328433382[/C][C]0.929583333333333[/C][C]1.00169537796509[/C][C]0.998754962337828[/C][/ROW]
[ROW][C]21[/C][C]0.92[/C][C]0.93071353307806[/C][C]0.932083333333333[/C][C]0.99853038863985[/C][C]0.988488903731067[/C][/ROW]
[ROW][C]22[/C][C]0.93[/C][C]0.93229448638646[/C][C]0.934583333333333[/C][C]0.997550943971245[/C][C]0.997538882381089[/C][/ROW]
[ROW][C]23[/C][C]0.93[/C][C]0.934253794639609[/C][C]0.9375[/C][C]0.996537380948916[/C][C]0.995446853238365[/C][/ROW]
[ROW][C]24[/C][C]0.93[/C][C]0.934661119209825[/C][C]0.940833333333333[/C][C]0.993439630692462[/C][C]0.995013038293745[/C][/ROW]
[ROW][C]25[/C][C]0.94[/C][C]0.937149545896578[/C][C]0.944166666666667[/C][C]0.992567921514469[/C][C]1.00304162138893[/C][/ROW]
[ROW][C]26[/C][C]0.95[/C][C]0.947425548577888[/C][C]0.947916666666667[/C][C]0.999481897400849[/C][C]1.0027173126437[/C][/ROW]
[ROW][C]27[/C][C]0.95[/C][C]0.954639362929351[/C][C]0.9525[/C][C]1.00224605031953[/C][C]0.995140193135223[/C][/ROW]
[ROW][C]28[/C][C]0.96[/C][C]0.962201940632582[/C][C]0.957083333333333[/C][C]1.00534813126609[/C][C]0.997711560806939[/C][/ROW]
[ROW][C]29[/C][C]0.97[/C][C]0.967491492227071[/C][C]0.96125[/C][C]1.00649309984611[/C][C]1.00259279569183[/C][/ROW]
[ROW][C]30[/C][C]0.97[/C][C]0.968960710540869[/C][C]0.965416666666666[/C][C]1.00367099926547[/C][C]1.00107258163084[/C][/ROW]
[ROW][C]31[/C][C]0.97[/C][C]0.971529667676355[/C][C]0.969166666666667[/C][C]1.00243817816993[/C][C]0.99842550595494[/C][/ROW]
[ROW][C]32[/C][C]0.98[/C][C]0.974566128145203[/C][C]0.972916666666666[/C][C]1.00169537796509[/C][C]1.00557568306333[/C][/ROW]
[ROW][C]33[/C][C]0.98[/C][C]0.976063454895453[/C][C]0.9775[/C][C]0.99853038863985[/C][C]1.00403308318204[/C][/ROW]
[ROW][C]34[/C][C]0.98[/C][C]0.979678156225094[/C][C]0.982083333333333[/C][C]0.997550943971245[/C][C]1.00032851990509[/C][/ROW]
[ROW][C]35[/C][C]0.98[/C][C]0.982834991960869[/C][C]0.98625[/C][C]0.996537380948916[/C][C]0.997115495496134[/C][/ROW]
[ROW][C]36[/C][C]0.98[/C][C]0.983919167564993[/C][C]0.990416666666667[/C][C]0.993439630692462[/C][C]0.996016778924338[/C][/ROW]
[ROW][C]37[/C][C]0.98[/C][C]0.987191511939599[/C][C]0.994583333333333[/C][C]0.992567921514469[/C][C]0.992715180537291[/C][/ROW]
[ROW][C]38[/C][C]1[/C][C]0.997816094238514[/C][C]0.998333333333333[/C][C]0.999481897400849[/C][C]1.00218868564468[/C][/ROW]
[ROW][C]39[/C][C]1.01[/C][C]1.00433406292436[/C][C]1.00208333333333[/C][C]1.00224605031953[/C][C]1.00564148651808[/C][/ROW]
[ROW][C]40[/C][C]1.01[/C][C]1.0116315570865[/C][C]1.00625[/C][C]1.00534813126609[/C][C]0.998387202262455[/C][/ROW]
[ROW][C]41[/C][C]1.02[/C][C]1.0169774029695[/C][C]1.01041666666667[/C][C]1.00649309984611[/C][C]1.00297213784856[/C][/ROW]
[ROW][C]42[/C][C]1.02[/C][C]1.01830786800475[/C][C]1.01458333333333[/C][C]1.00367099926547[/C][C]1.00166170963459[/C][/ROW]
[ROW][C]43[/C][C]1.02[/C][C]1.02123389401061[/C][C]1.01875[/C][C]1.00243817816993[/C][C]0.998791761595604[/C][/ROW]
[ROW][C]44[/C][C]1.02[/C][C]1.02423352396931[/C][C]1.0225[/C][C]1.00169537796509[/C][C]0.995866641864154[/C][/ROW]
[ROW][C]45[/C][C]1.03[/C][C]1.02432575701305[/C][C]1.02583333333333[/C][C]0.99853038863985[/C][C]1.00553949068263[/C][/ROW]
[ROW][C]46[/C][C]1.03[/C][C]1.02664617983707[/C][C]1.02916666666667[/C][C]0.997550943971245[/C][C]1.00326677313839[/C][/ROW]
[ROW][C]47[/C][C]1.03[/C][C]1.02850962192103[/C][C]1.03208333333333[/C][C]0.996537380948916[/C][C]1.00144906576196[/C][/ROW]
[ROW][C]48[/C][C]1.03[/C][C]1.02779608458724[/C][C]1.03458333333333[/C][C]0.993439630692462[/C][C]1.00214431193678[/C][/ROW]
[ROW][C]49[/C][C]1.03[/C][C]1.02978921857126[/C][C]1.0375[/C][C]0.992567921514469[/C][C]1.00020468405081[/C][/ROW]
[ROW][C]50[/C][C]1.04[/C][C]1.04029407487805[/C][C]1.04083333333333[/C][C]0.999481897400849[/C][C]0.999717315627233[/C][/ROW]
[ROW][C]51[/C][C]1.05[/C][C]1.04609431502101[/C][C]1.04375[/C][C]1.00224605031953[/C][C]1.00373358780648[/C][/ROW]
[ROW][C]52[/C][C]1.05[/C][C]1.05184548233714[/C][C]1.04625[/C][C]1.00534813126609[/C][C]0.998245481519737[/C][/ROW]
[ROW][C]53[/C][C]1.05[/C][C]1.05555963846361[/C][C]1.04875[/C][C]1.00649309984611[/C][C]0.994732994459983[/C][/ROW]
[ROW][C]54[/C][C]1.05[/C][C]1.05510913797782[/C][C]1.05125[/C][C]1.00367099926547[/C][C]0.995157716113033[/C][/ROW]
[ROW][C]55[/C][C]1.06[/C][C]1.05631923024656[/C][C]1.05375[/C][C]1.00243817816993[/C][C]1.00348452404164[/C][/ROW]
[ROW][C]56[/C][C]1.06[/C][C]1.05804074297563[/C][C]1.05625[/C][C]1.00169537796509[/C][C]1.00185177842855[/C][/ROW]
[ROW][C]57[/C][C]1.06[/C][C]1.05719404897244[/C][C]1.05875[/C][C]0.99853038863985[/C][C]1.00265414947264[/C][/ROW]
[ROW][C]58[/C][C]1.06[/C][C]1.05906658551614[/C][C]1.06166666666667[/C][C]0.997550943971245[/C][C]1.00088135580579[/C][/ROW]
[ROW][C]59[/C][C]1.06[/C][C]1.0613123107106[/C][C]1.065[/C][C]0.996537380948916[/C][C]0.998763501848276[/C][/ROW]
[ROW][C]60[/C][C]1.06[/C][C]1.06132467212311[/C][C]1.06833333333333[/C][C]0.993439630692462[/C][C]0.998751869095379[/C][/ROW]
[ROW][C]61[/C][C]1.06[/C][C]1.06328838592238[/C][C]1.07125[/C][C]0.992567921514469[/C][C]0.996907343326691[/C][/ROW]
[ROW][C]62[/C][C]1.07[/C][C]1.07319368733416[/C][C]1.07375[/C][C]0.999481897400849[/C][C]0.997024127730294[/C][/ROW]
[ROW][C]63[/C][C]1.08[/C][C]1.07866731165639[/C][C]1.07625[/C][C]1.00224605031953[/C][C]1.00123549525345[/C][/ROW]
[ROW][C]64[/C][C]1.09[/C][C]1.08451929660329[/C][C]1.07875[/C][C]1.00534813126609[/C][C]1.00505357849683[/C][/ROW]
[ROW][C]65[/C][C]1.09[/C][C]1.0882706642086[/C][C]1.08125[/C][C]1.00649309984611[/C][C]1.00158906772761[/C][/ROW]
[ROW][C]66[/C][C]1.09[/C][C]1.08772844545395[/C][C]1.08375[/C][C]1.00367099926547[/C][C]1.00208834710129[/C][/ROW]
[ROW][C]67[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]1.00243817816993[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]1.00169537796509[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]0.99853038863985[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]0.997550943971245[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]0.996537380948916[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]1.09[/C][C]NA[/C][C]NA[/C][C]0.993439630692462[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195685&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	0.9	NA	NA	0.992567921514469	NA
2	0.9	NA	NA	0.999481897400849	NA
3	0.9	NA	NA	1.00224605031953	NA
4	0.9	NA	NA	1.00534813126609	NA
5	0.9	NA	NA	1.00649309984611	NA
6	0.91	NA	NA	1.00367099926547	NA
7	0.91	0.910548011837685	0.908333333333333	1.00243817816993	0.999398151628953
8	0.91	0.911542793948232	0.91	1.00169537796509	0.998307491476566
9	0.91	0.910326870976663	0.911666666666666	0.99853038863985	0.99964093010205
10	0.91	0.911512175053725	0.91375	0.997550943971245	0.998341025940069
11	0.92	0.913077375294444	0.91625	0.996537380948916	1.0075816408257
12	0.92	0.912308727519244	0.918333333333333	0.993439630692462	1.00843055892019
13	0.92	0.913162487793311	0.92	0.992567921514469	1.00748772786671
14	0.92	0.921189148771115	0.921666666666667	0.999481897400849	0.998709115524535
15	0.92	0.924989583940731	0.922916666666667	1.00224605031953	0.994605794457194
16	0.93	0.929109231311741	0.924166666666667	1.00534813126609	1.00095873408448
17	0.93	0.931425489482586	0.925416666666667	1.00649309984611	0.998469561442454
18	0.93	0.929650263069639	0.92625	1.00367099926547	1.00037620269068
19	0.93	0.929761410252609	0.9275	1.00243817816993	1.0002566139493
20	0.93	0.931159328433382	0.929583333333333	1.00169537796509	0.998754962337828
21	0.92	0.93071353307806	0.932083333333333	0.99853038863985	0.988488903731067
22	0.93	0.93229448638646	0.934583333333333	0.997550943971245	0.997538882381089
23	0.93	0.934253794639609	0.9375	0.996537380948916	0.995446853238365
24	0.93	0.934661119209825	0.940833333333333	0.993439630692462	0.995013038293745
25	0.94	0.937149545896578	0.944166666666667	0.992567921514469	1.00304162138893
26	0.95	0.947425548577888	0.947916666666667	0.999481897400849	1.0027173126437
27	0.95	0.954639362929351	0.9525	1.00224605031953	0.995140193135223
28	0.96	0.962201940632582	0.957083333333333	1.00534813126609	0.997711560806939
29	0.97	0.967491492227071	0.96125	1.00649309984611	1.00259279569183
30	0.97	0.968960710540869	0.965416666666666	1.00367099926547	1.00107258163084
31	0.97	0.971529667676355	0.969166666666667	1.00243817816993	0.99842550595494
32	0.98	0.974566128145203	0.972916666666666	1.00169537796509	1.00557568306333
33	0.98	0.976063454895453	0.9775	0.99853038863985	1.00403308318204
34	0.98	0.979678156225094	0.982083333333333	0.997550943971245	1.00032851990509
35	0.98	0.982834991960869	0.98625	0.996537380948916	0.997115495496134
36	0.98	0.983919167564993	0.990416666666667	0.993439630692462	0.996016778924338
37	0.98	0.987191511939599	0.994583333333333	0.992567921514469	0.992715180537291
38	1	0.997816094238514	0.998333333333333	0.999481897400849	1.00218868564468
39	1.01	1.00433406292436	1.00208333333333	1.00224605031953	1.00564148651808
40	1.01	1.0116315570865	1.00625	1.00534813126609	0.998387202262455
41	1.02	1.0169774029695	1.01041666666667	1.00649309984611	1.00297213784856
42	1.02	1.01830786800475	1.01458333333333	1.00367099926547	1.00166170963459
43	1.02	1.02123389401061	1.01875	1.00243817816993	0.998791761595604
44	1.02	1.02423352396931	1.0225	1.00169537796509	0.995866641864154
45	1.03	1.02432575701305	1.02583333333333	0.99853038863985	1.00553949068263
46	1.03	1.02664617983707	1.02916666666667	0.997550943971245	1.00326677313839
47	1.03	1.02850962192103	1.03208333333333	0.996537380948916	1.00144906576196
48	1.03	1.02779608458724	1.03458333333333	0.993439630692462	1.00214431193678
49	1.03	1.02978921857126	1.0375	0.992567921514469	1.00020468405081
50	1.04	1.04029407487805	1.04083333333333	0.999481897400849	0.999717315627233
51	1.05	1.04609431502101	1.04375	1.00224605031953	1.00373358780648
52	1.05	1.05184548233714	1.04625	1.00534813126609	0.998245481519737
53	1.05	1.05555963846361	1.04875	1.00649309984611	0.994732994459983
54	1.05	1.05510913797782	1.05125	1.00367099926547	0.995157716113033
55	1.06	1.05631923024656	1.05375	1.00243817816993	1.00348452404164
56	1.06	1.05804074297563	1.05625	1.00169537796509	1.00185177842855
57	1.06	1.05719404897244	1.05875	0.99853038863985	1.00265414947264
58	1.06	1.05906658551614	1.06166666666667	0.997550943971245	1.00088135580579
59	1.06	1.0613123107106	1.065	0.996537380948916	0.998763501848276
60	1.06	1.06132467212311	1.06833333333333	0.993439630692462	0.998751869095379
61	1.06	1.06328838592238	1.07125	0.992567921514469	0.996907343326691
62	1.07	1.07319368733416	1.07375	0.999481897400849	0.997024127730294
63	1.08	1.07866731165639	1.07625	1.00224605031953	1.00123549525345
64	1.09	1.08451929660329	1.07875	1.00534813126609	1.00505357849683
65	1.09	1.0882706642086	1.08125	1.00649309984611	1.00158906772761
66	1.09	1.08772844545395	1.08375	1.00367099926547	1.00208834710129
67	1.09	NA	NA	1.00243817816993	NA
68	1.09	NA	NA	1.00169537796509	NA
69	1.09	NA	NA	0.99853038863985	NA
70	1.09	NA	NA	0.997550943971245	NA
71	1.09	NA	NA	0.996537380948916	NA
72	1.09	NA	NA	0.993439630692462	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