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R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Tue, 08 Dec 2015 16:02:26 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/08/t1449590593n3w558o6b9jb4hz.htm/, Retrieved Thu, 16 May 2024 22:22:03 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285541, Retrieved Thu, 16 May 2024 22:22:03 +0000

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Estimated Impact

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

-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
- R  D  [Classical Decomposition] [classical decompo...] [2015-12-08 14:52:05] [22b6f4a061c8797aa483199554a73d13]
- RMP     [Decomposition by Loess] [Loess totaal mannen] [2015-12-08 15:45:08] [22b6f4a061c8797aa483199554a73d13]
- RMP         [Structural Time Series Models] [structural time s...] [2015-12-08 16:02:26] [20fcaaf1d4bc4a12bf87c6c50d624c14] [Current]
- RMPD          [Classical Decomposition] [classical decompo...] [2015-12-08 17:17:05] [22b6f4a061c8797aa483199554a73d13] 
- RMP             [Decomposition by Loess] [Loess totaal vrouwen] [2015-12-08 17:53:15] [22b6f4a061c8797aa483199554a73d13] 
- RMP               [Structural Time Series Models] [structural time s...] [2015-12-08 18:02:34] [22b6f4a061c8797aa483199554a73d13] 

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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	3 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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285541&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285541&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285541&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	3 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	287224	287224	0	0	0
2	279998	281608.495878024	-263.362584697363	-1610.49587802408	-1.01908258453744
3	283495	282314.417849814	-217.800992056076	1180.58215018605	0.223761139047532
4	285775	284535.689847455	-158.119152992553	1239.31015254484	0.649961804440082
5	282329	283616.573565242	-166.906200343278	-1287.57356524222	-0.205959536138959
6	277799	280025.067621366	-194.466328433487	-2226.06762136637	-0.926421730450836
7	271980	274666.697405505	-236.253162654331	-2686.69740550517	-1.39569563534683
8	266730	269104.499204595	-282.162967754706	-2374.49920459526	-1.43872109559481
9	262433	264289.909809132	-322.298722226589	-1856.90980913247	-1.22415505225894
10	285378	276343.728328622	-212.725072504122	9034.27167137784	3.34262165862745
11	286692	284601.971637043	-138.443786183587	2090.02836295736	2.28793762305961
12	282917	284967.77067016	-134.068578494854	-2050.77067015957	0.136192618188823
13	277686	279923.452721107	20.2987778474595	-2237.45272110665	-1.45108588050337
14	274371	277570.129259614	11.4820180027258	-3199.12925961355	-0.630087417525577
15	277466	277058.250239818	0.36490023352494	407.749760182177	-0.130553579690949
16	290604	283764.22014123	133.435493688181	6839.77985877031	1.75318957840576
17	290770	288317.518149079	190.675536053194	2452.4818509206	1.18788014181706
18	283654	285982.714485825	170.215959905567	-2328.71448582497	-0.682392060116067
19	278601	281212.885850889	139.448200489395	-2611.88585088921	-1.33497749175036
20	274405	277088.017004194	113.576272668842	-2683.01700419357	-1.15188130216717
21	272817	277974.894033969	118.579201956539	-5157.89403396937	0.208843562262093
22	294292	284001.188688579	157.096838545749	10290.8113114208	1.59550075264547
23	300562	292891.268717098	199.761022773183	7670.73128290217	2.35684260198587
24	298982	297617.760478042	199.436929272809	1364.23952195798	1.22326576142236
25	296917	299007.155385666	191.526135081082	-2090.15538566552	0.327536124910497
26	295008	299558.48460517	192.251845017348	-4550.48460517042	0.0964851819618826
27	297295	300388.614766282	199.764655005441	-3093.61476628197	0.165547008546365
28	305671	300679.99781092	201.085358994436	4991.00218907977	0.0240237503207013
29	303853	300184.919648993	192.700944331134	3668.08035100729	-0.186079007986115
30	300708	300103.484008473	190.303698069081	604.515991527336	-0.0739081609641264
31	298194	299288.650388872	183.653357184293	-1094.65038887199	-0.271554543803667
32	292254	297144.463410852	170.239653628462	-4890.4634108518	-0.629060810069576
33	290646	298018.560625896	174.063194708654	-7372.56062589577	0.190169751583573
34	314707	304097.951316418	201.694808136721	10609.0486835817	1.59446924096619
35	317009	309027.17331373	214.739509770984	7981.82668627033	1.27535134111758
36	317706	314225.689436251	214.613352925899	3480.31056374947	1.34676690372308
37	313312	315895.73136391	212.949324216178	-2583.73136390999	0.394494591783361
38	311048	316351.084624289	213.625820542405	-5303.08462428903	0.0649010775369398
39	315917	318108.730690015	226.210561641951	-2191.73069001539	0.406796645749493
40	326174	319972.82596924	243.970441239368	6201.17403076042	0.432145993114833
41	322116	319163.127829454	232.967786772948	2952.87217054628	-0.281158872359222
42	317092	317085.739944216	213.108817606003	6.26005578435593	-0.621646368400547
43	310468	313180.466910738	185.034594992568	-2712.4669107379	-1.11192484366853
44	302438	309965.506018846	165.963687455419	-7527.50601884641	-0.918746830402006
45	298493	309024.423538836	160.757841559914	-10531.4235388363	-0.299067676620483
46	320124	310636.904685788	165.9695817162	9487.09531421239	0.391842767684394
47	321873	313937.921477692	172.434467611113	7935.07852230792	0.845670371877639
48	321676	317126.750714396	174.505659212744	4549.24928560363	0.814176019351175
49	316696	318996.870934472	175.86891038364	-2300.87093447204	0.457286046277135
50	312612	319252.964596115	176.127788934333	-6640.96459611466	0.0214708046621453
51	313307	317627.519400278	164.392375017067	-4320.51940027753	-0.477860414923154
52	320883	315431.570887027	143.953591990191	5451.42911297344	-0.62579493812167
53	318749	314560.517809274	134.848424283245	4188.48219072622	-0.270920323229788
54	315126	313524.571507893	125.471070279602	1601.42849210746	-0.314643832185244
55	304600	309022.202089574	94.7025795429836	-4422.20208957407	-1.24840700312593
56	295245	304873.965849367	71.8622193713963	-9628.96584936749	-1.14598010762848
57	293619	304616.760329211	70.4661286961112	-10997.7603292113	-0.0888611049756409
58	309700	303132.168542367	65.6777808079708	6567.83145763282	-0.419605154258056
59	310597	303549.72112731	66.3587014804362	7047.27887269003	0.0948977741677519
60	307416	303593.037289395	66.3298315795301	3822.962710605	-0.00621325038171786
61	301126	303340.409928075	65.7947136950113	-2214.40992807543	-0.085846522701191

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 287224 & 287224 & 0 & 0 & 0 \tabularnewline
2 & 279998 & 281608.495878024 & -263.362584697363 & -1610.49587802408 & -1.01908258453744 \tabularnewline
3 & 283495 & 282314.417849814 & -217.800992056076 & 1180.58215018605 & 0.223761139047532 \tabularnewline
4 & 285775 & 284535.689847455 & -158.119152992553 & 1239.31015254484 & 0.649961804440082 \tabularnewline
5 & 282329 & 283616.573565242 & -166.906200343278 & -1287.57356524222 & -0.205959536138959 \tabularnewline
6 & 277799 & 280025.067621366 & -194.466328433487 & -2226.06762136637 & -0.926421730450836 \tabularnewline
7 & 271980 & 274666.697405505 & -236.253162654331 & -2686.69740550517 & -1.39569563534683 \tabularnewline
8 & 266730 & 269104.499204595 & -282.162967754706 & -2374.49920459526 & -1.43872109559481 \tabularnewline
9 & 262433 & 264289.909809132 & -322.298722226589 & -1856.90980913247 & -1.22415505225894 \tabularnewline
10 & 285378 & 276343.728328622 & -212.725072504122 & 9034.27167137784 & 3.34262165862745 \tabularnewline
11 & 286692 & 284601.971637043 & -138.443786183587 & 2090.02836295736 & 2.28793762305961 \tabularnewline
12 & 282917 & 284967.77067016 & -134.068578494854 & -2050.77067015957 & 0.136192618188823 \tabularnewline
13 & 277686 & 279923.452721107 & 20.2987778474595 & -2237.45272110665 & -1.45108588050337 \tabularnewline
14 & 274371 & 277570.129259614 & 11.4820180027258 & -3199.12925961355 & -0.630087417525577 \tabularnewline
15 & 277466 & 277058.250239818 & 0.36490023352494 & 407.749760182177 & -0.130553579690949 \tabularnewline
16 & 290604 & 283764.22014123 & 133.435493688181 & 6839.77985877031 & 1.75318957840576 \tabularnewline
17 & 290770 & 288317.518149079 & 190.675536053194 & 2452.4818509206 & 1.18788014181706 \tabularnewline
18 & 283654 & 285982.714485825 & 170.215959905567 & -2328.71448582497 & -0.682392060116067 \tabularnewline
19 & 278601 & 281212.885850889 & 139.448200489395 & -2611.88585088921 & -1.33497749175036 \tabularnewline
20 & 274405 & 277088.017004194 & 113.576272668842 & -2683.01700419357 & -1.15188130216717 \tabularnewline
21 & 272817 & 277974.894033969 & 118.579201956539 & -5157.89403396937 & 0.208843562262093 \tabularnewline
22 & 294292 & 284001.188688579 & 157.096838545749 & 10290.8113114208 & 1.59550075264547 \tabularnewline
23 & 300562 & 292891.268717098 & 199.761022773183 & 7670.73128290217 & 2.35684260198587 \tabularnewline
24 & 298982 & 297617.760478042 & 199.436929272809 & 1364.23952195798 & 1.22326576142236 \tabularnewline
25 & 296917 & 299007.155385666 & 191.526135081082 & -2090.15538566552 & 0.327536124910497 \tabularnewline
26 & 295008 & 299558.48460517 & 192.251845017348 & -4550.48460517042 & 0.0964851819618826 \tabularnewline
27 & 297295 & 300388.614766282 & 199.764655005441 & -3093.61476628197 & 0.165547008546365 \tabularnewline
28 & 305671 & 300679.99781092 & 201.085358994436 & 4991.00218907977 & 0.0240237503207013 \tabularnewline
29 & 303853 & 300184.919648993 & 192.700944331134 & 3668.08035100729 & -0.186079007986115 \tabularnewline
30 & 300708 & 300103.484008473 & 190.303698069081 & 604.515991527336 & -0.0739081609641264 \tabularnewline
31 & 298194 & 299288.650388872 & 183.653357184293 & -1094.65038887199 & -0.271554543803667 \tabularnewline
32 & 292254 & 297144.463410852 & 170.239653628462 & -4890.4634108518 & -0.629060810069576 \tabularnewline
33 & 290646 & 298018.560625896 & 174.063194708654 & -7372.56062589577 & 0.190169751583573 \tabularnewline
34 & 314707 & 304097.951316418 & 201.694808136721 & 10609.0486835817 & 1.59446924096619 \tabularnewline
35 & 317009 & 309027.17331373 & 214.739509770984 & 7981.82668627033 & 1.27535134111758 \tabularnewline
36 & 317706 & 314225.689436251 & 214.613352925899 & 3480.31056374947 & 1.34676690372308 \tabularnewline
37 & 313312 & 315895.73136391 & 212.949324216178 & -2583.73136390999 & 0.394494591783361 \tabularnewline
38 & 311048 & 316351.084624289 & 213.625820542405 & -5303.08462428903 & 0.0649010775369398 \tabularnewline
39 & 315917 & 318108.730690015 & 226.210561641951 & -2191.73069001539 & 0.406796645749493 \tabularnewline
40 & 326174 & 319972.82596924 & 243.970441239368 & 6201.17403076042 & 0.432145993114833 \tabularnewline
41 & 322116 & 319163.127829454 & 232.967786772948 & 2952.87217054628 & -0.281158872359222 \tabularnewline
42 & 317092 & 317085.739944216 & 213.108817606003 & 6.26005578435593 & -0.621646368400547 \tabularnewline
43 & 310468 & 313180.466910738 & 185.034594992568 & -2712.4669107379 & -1.11192484366853 \tabularnewline
44 & 302438 & 309965.506018846 & 165.963687455419 & -7527.50601884641 & -0.918746830402006 \tabularnewline
45 & 298493 & 309024.423538836 & 160.757841559914 & -10531.4235388363 & -0.299067676620483 \tabularnewline
46 & 320124 & 310636.904685788 & 165.9695817162 & 9487.09531421239 & 0.391842767684394 \tabularnewline
47 & 321873 & 313937.921477692 & 172.434467611113 & 7935.07852230792 & 0.845670371877639 \tabularnewline
48 & 321676 & 317126.750714396 & 174.505659212744 & 4549.24928560363 & 0.814176019351175 \tabularnewline
49 & 316696 & 318996.870934472 & 175.86891038364 & -2300.87093447204 & 0.457286046277135 \tabularnewline
50 & 312612 & 319252.964596115 & 176.127788934333 & -6640.96459611466 & 0.0214708046621453 \tabularnewline
51 & 313307 & 317627.519400278 & 164.392375017067 & -4320.51940027753 & -0.477860414923154 \tabularnewline
52 & 320883 & 315431.570887027 & 143.953591990191 & 5451.42911297344 & -0.62579493812167 \tabularnewline
53 & 318749 & 314560.517809274 & 134.848424283245 & 4188.48219072622 & -0.270920323229788 \tabularnewline
54 & 315126 & 313524.571507893 & 125.471070279602 & 1601.42849210746 & -0.314643832185244 \tabularnewline
55 & 304600 & 309022.202089574 & 94.7025795429836 & -4422.20208957407 & -1.24840700312593 \tabularnewline
56 & 295245 & 304873.965849367 & 71.8622193713963 & -9628.96584936749 & -1.14598010762848 \tabularnewline
57 & 293619 & 304616.760329211 & 70.4661286961112 & -10997.7603292113 & -0.0888611049756409 \tabularnewline
58 & 309700 & 303132.168542367 & 65.6777808079708 & 6567.83145763282 & -0.419605154258056 \tabularnewline
59 & 310597 & 303549.72112731 & 66.3587014804362 & 7047.27887269003 & 0.0948977741677519 \tabularnewline
60 & 307416 & 303593.037289395 & 66.3298315795301 & 3822.962710605 & -0.00621325038171786 \tabularnewline
61 & 301126 & 303340.409928075 & 65.7947136950113 & -2214.40992807543 & -0.085846522701191 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285541&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]287224[/C][C]287224[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]279998[/C][C]281608.495878024[/C][C]-263.362584697363[/C][C]-1610.49587802408[/C][C]-1.01908258453744[/C][/ROW]
[ROW][C]3[/C][C]283495[/C][C]282314.417849814[/C][C]-217.800992056076[/C][C]1180.58215018605[/C][C]0.223761139047532[/C][/ROW]
[ROW][C]4[/C][C]285775[/C][C]284535.689847455[/C][C]-158.119152992553[/C][C]1239.31015254484[/C][C]0.649961804440082[/C][/ROW]
[ROW][C]5[/C][C]282329[/C][C]283616.573565242[/C][C]-166.906200343278[/C][C]-1287.57356524222[/C][C]-0.205959536138959[/C][/ROW]
[ROW][C]6[/C][C]277799[/C][C]280025.067621366[/C][C]-194.466328433487[/C][C]-2226.06762136637[/C][C]-0.926421730450836[/C][/ROW]
[ROW][C]7[/C][C]271980[/C][C]274666.697405505[/C][C]-236.253162654331[/C][C]-2686.69740550517[/C][C]-1.39569563534683[/C][/ROW]
[ROW][C]8[/C][C]266730[/C][C]269104.499204595[/C][C]-282.162967754706[/C][C]-2374.49920459526[/C][C]-1.43872109559481[/C][/ROW]
[ROW][C]9[/C][C]262433[/C][C]264289.909809132[/C][C]-322.298722226589[/C][C]-1856.90980913247[/C][C]-1.22415505225894[/C][/ROW]
[ROW][C]10[/C][C]285378[/C][C]276343.728328622[/C][C]-212.725072504122[/C][C]9034.27167137784[/C][C]3.34262165862745[/C][/ROW]
[ROW][C]11[/C][C]286692[/C][C]284601.971637043[/C][C]-138.443786183587[/C][C]2090.02836295736[/C][C]2.28793762305961[/C][/ROW]
[ROW][C]12[/C][C]282917[/C][C]284967.77067016[/C][C]-134.068578494854[/C][C]-2050.77067015957[/C][C]0.136192618188823[/C][/ROW]
[ROW][C]13[/C][C]277686[/C][C]279923.452721107[/C][C]20.2987778474595[/C][C]-2237.45272110665[/C][C]-1.45108588050337[/C][/ROW]
[ROW][C]14[/C][C]274371[/C][C]277570.129259614[/C][C]11.4820180027258[/C][C]-3199.12925961355[/C][C]-0.630087417525577[/C][/ROW]
[ROW][C]15[/C][C]277466[/C][C]277058.250239818[/C][C]0.36490023352494[/C][C]407.749760182177[/C][C]-0.130553579690949[/C][/ROW]
[ROW][C]16[/C][C]290604[/C][C]283764.22014123[/C][C]133.435493688181[/C][C]6839.77985877031[/C][C]1.75318957840576[/C][/ROW]
[ROW][C]17[/C][C]290770[/C][C]288317.518149079[/C][C]190.675536053194[/C][C]2452.4818509206[/C][C]1.18788014181706[/C][/ROW]
[ROW][C]18[/C][C]283654[/C][C]285982.714485825[/C][C]170.215959905567[/C][C]-2328.71448582497[/C][C]-0.682392060116067[/C][/ROW]
[ROW][C]19[/C][C]278601[/C][C]281212.885850889[/C][C]139.448200489395[/C][C]-2611.88585088921[/C][C]-1.33497749175036[/C][/ROW]
[ROW][C]20[/C][C]274405[/C][C]277088.017004194[/C][C]113.576272668842[/C][C]-2683.01700419357[/C][C]-1.15188130216717[/C][/ROW]
[ROW][C]21[/C][C]272817[/C][C]277974.894033969[/C][C]118.579201956539[/C][C]-5157.89403396937[/C][C]0.208843562262093[/C][/ROW]
[ROW][C]22[/C][C]294292[/C][C]284001.188688579[/C][C]157.096838545749[/C][C]10290.8113114208[/C][C]1.59550075264547[/C][/ROW]
[ROW][C]23[/C][C]300562[/C][C]292891.268717098[/C][C]199.761022773183[/C][C]7670.73128290217[/C][C]2.35684260198587[/C][/ROW]
[ROW][C]24[/C][C]298982[/C][C]297617.760478042[/C][C]199.436929272809[/C][C]1364.23952195798[/C][C]1.22326576142236[/C][/ROW]
[ROW][C]25[/C][C]296917[/C][C]299007.155385666[/C][C]191.526135081082[/C][C]-2090.15538566552[/C][C]0.327536124910497[/C][/ROW]
[ROW][C]26[/C][C]295008[/C][C]299558.48460517[/C][C]192.251845017348[/C][C]-4550.48460517042[/C][C]0.0964851819618826[/C][/ROW]
[ROW][C]27[/C][C]297295[/C][C]300388.614766282[/C][C]199.764655005441[/C][C]-3093.61476628197[/C][C]0.165547008546365[/C][/ROW]
[ROW][C]28[/C][C]305671[/C][C]300679.99781092[/C][C]201.085358994436[/C][C]4991.00218907977[/C][C]0.0240237503207013[/C][/ROW]
[ROW][C]29[/C][C]303853[/C][C]300184.919648993[/C][C]192.700944331134[/C][C]3668.08035100729[/C][C]-0.186079007986115[/C][/ROW]
[ROW][C]30[/C][C]300708[/C][C]300103.484008473[/C][C]190.303698069081[/C][C]604.515991527336[/C][C]-0.0739081609641264[/C][/ROW]
[ROW][C]31[/C][C]298194[/C][C]299288.650388872[/C][C]183.653357184293[/C][C]-1094.65038887199[/C][C]-0.271554543803667[/C][/ROW]
[ROW][C]32[/C][C]292254[/C][C]297144.463410852[/C][C]170.239653628462[/C][C]-4890.4634108518[/C][C]-0.629060810069576[/C][/ROW]
[ROW][C]33[/C][C]290646[/C][C]298018.560625896[/C][C]174.063194708654[/C][C]-7372.56062589577[/C][C]0.190169751583573[/C][/ROW]
[ROW][C]34[/C][C]314707[/C][C]304097.951316418[/C][C]201.694808136721[/C][C]10609.0486835817[/C][C]1.59446924096619[/C][/ROW]
[ROW][C]35[/C][C]317009[/C][C]309027.17331373[/C][C]214.739509770984[/C][C]7981.82668627033[/C][C]1.27535134111758[/C][/ROW]
[ROW][C]36[/C][C]317706[/C][C]314225.689436251[/C][C]214.613352925899[/C][C]3480.31056374947[/C][C]1.34676690372308[/C][/ROW]
[ROW][C]37[/C][C]313312[/C][C]315895.73136391[/C][C]212.949324216178[/C][C]-2583.73136390999[/C][C]0.394494591783361[/C][/ROW]
[ROW][C]38[/C][C]311048[/C][C]316351.084624289[/C][C]213.625820542405[/C][C]-5303.08462428903[/C][C]0.0649010775369398[/C][/ROW]
[ROW][C]39[/C][C]315917[/C][C]318108.730690015[/C][C]226.210561641951[/C][C]-2191.73069001539[/C][C]0.406796645749493[/C][/ROW]
[ROW][C]40[/C][C]326174[/C][C]319972.82596924[/C][C]243.970441239368[/C][C]6201.17403076042[/C][C]0.432145993114833[/C][/ROW]
[ROW][C]41[/C][C]322116[/C][C]319163.127829454[/C][C]232.967786772948[/C][C]2952.87217054628[/C][C]-0.281158872359222[/C][/ROW]
[ROW][C]42[/C][C]317092[/C][C]317085.739944216[/C][C]213.108817606003[/C][C]6.26005578435593[/C][C]-0.621646368400547[/C][/ROW]
[ROW][C]43[/C][C]310468[/C][C]313180.466910738[/C][C]185.034594992568[/C][C]-2712.4669107379[/C][C]-1.11192484366853[/C][/ROW]
[ROW][C]44[/C][C]302438[/C][C]309965.506018846[/C][C]165.963687455419[/C][C]-7527.50601884641[/C][C]-0.918746830402006[/C][/ROW]
[ROW][C]45[/C][C]298493[/C][C]309024.423538836[/C][C]160.757841559914[/C][C]-10531.4235388363[/C][C]-0.299067676620483[/C][/ROW]
[ROW][C]46[/C][C]320124[/C][C]310636.904685788[/C][C]165.9695817162[/C][C]9487.09531421239[/C][C]0.391842767684394[/C][/ROW]
[ROW][C]47[/C][C]321873[/C][C]313937.921477692[/C][C]172.434467611113[/C][C]7935.07852230792[/C][C]0.845670371877639[/C][/ROW]
[ROW][C]48[/C][C]321676[/C][C]317126.750714396[/C][C]174.505659212744[/C][C]4549.24928560363[/C][C]0.814176019351175[/C][/ROW]
[ROW][C]49[/C][C]316696[/C][C]318996.870934472[/C][C]175.86891038364[/C][C]-2300.87093447204[/C][C]0.457286046277135[/C][/ROW]
[ROW][C]50[/C][C]312612[/C][C]319252.964596115[/C][C]176.127788934333[/C][C]-6640.96459611466[/C][C]0.0214708046621453[/C][/ROW]
[ROW][C]51[/C][C]313307[/C][C]317627.519400278[/C][C]164.392375017067[/C][C]-4320.51940027753[/C][C]-0.477860414923154[/C][/ROW]
[ROW][C]52[/C][C]320883[/C][C]315431.570887027[/C][C]143.953591990191[/C][C]5451.42911297344[/C][C]-0.62579493812167[/C][/ROW]
[ROW][C]53[/C][C]318749[/C][C]314560.517809274[/C][C]134.848424283245[/C][C]4188.48219072622[/C][C]-0.270920323229788[/C][/ROW]
[ROW][C]54[/C][C]315126[/C][C]313524.571507893[/C][C]125.471070279602[/C][C]1601.42849210746[/C][C]-0.314643832185244[/C][/ROW]
[ROW][C]55[/C][C]304600[/C][C]309022.202089574[/C][C]94.7025795429836[/C][C]-4422.20208957407[/C][C]-1.24840700312593[/C][/ROW]
[ROW][C]56[/C][C]295245[/C][C]304873.965849367[/C][C]71.8622193713963[/C][C]-9628.96584936749[/C][C]-1.14598010762848[/C][/ROW]
[ROW][C]57[/C][C]293619[/C][C]304616.760329211[/C][C]70.4661286961112[/C][C]-10997.7603292113[/C][C]-0.0888611049756409[/C][/ROW]
[ROW][C]58[/C][C]309700[/C][C]303132.168542367[/C][C]65.6777808079708[/C][C]6567.83145763282[/C][C]-0.419605154258056[/C][/ROW]
[ROW][C]59[/C][C]310597[/C][C]303549.72112731[/C][C]66.3587014804362[/C][C]7047.27887269003[/C][C]0.0948977741677519[/C][/ROW]
[ROW][C]60[/C][C]307416[/C][C]303593.037289395[/C][C]66.3298315795301[/C][C]3822.962710605[/C][C]-0.00621325038171786[/C][/ROW]
[ROW][C]61[/C][C]301126[/C][C]303340.409928075[/C][C]65.7947136950113[/C][C]-2214.40992807543[/C][C]-0.085846522701191[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285541&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285541&T=1

As an alternative you can also use a QR Code:

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

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	287224	287224	0	0	0
2	279998	281608.495878024	-263.362584697363	-1610.49587802408	-1.01908258453744
3	283495	282314.417849814	-217.800992056076	1180.58215018605	0.223761139047532
4	285775	284535.689847455	-158.119152992553	1239.31015254484	0.649961804440082
5	282329	283616.573565242	-166.906200343278	-1287.57356524222	-0.205959536138959
6	277799	280025.067621366	-194.466328433487	-2226.06762136637	-0.926421730450836
7	271980	274666.697405505	-236.253162654331	-2686.69740550517	-1.39569563534683
8	266730	269104.499204595	-282.162967754706	-2374.49920459526	-1.43872109559481
9	262433	264289.909809132	-322.298722226589	-1856.90980913247	-1.22415505225894
10	285378	276343.728328622	-212.725072504122	9034.27167137784	3.34262165862745
11	286692	284601.971637043	-138.443786183587	2090.02836295736	2.28793762305961
12	282917	284967.77067016	-134.068578494854	-2050.77067015957	0.136192618188823
13	277686	279923.452721107	20.2987778474595	-2237.45272110665	-1.45108588050337
14	274371	277570.129259614	11.4820180027258	-3199.12925961355	-0.630087417525577
15	277466	277058.250239818	0.36490023352494	407.749760182177	-0.130553579690949
16	290604	283764.22014123	133.435493688181	6839.77985877031	1.75318957840576
17	290770	288317.518149079	190.675536053194	2452.4818509206	1.18788014181706
18	283654	285982.714485825	170.215959905567	-2328.71448582497	-0.682392060116067
19	278601	281212.885850889	139.448200489395	-2611.88585088921	-1.33497749175036
20	274405	277088.017004194	113.576272668842	-2683.01700419357	-1.15188130216717
21	272817	277974.894033969	118.579201956539	-5157.89403396937	0.208843562262093
22	294292	284001.188688579	157.096838545749	10290.8113114208	1.59550075264547
23	300562	292891.268717098	199.761022773183	7670.73128290217	2.35684260198587
24	298982	297617.760478042	199.436929272809	1364.23952195798	1.22326576142236
25	296917	299007.155385666	191.526135081082	-2090.15538566552	0.327536124910497
26	295008	299558.48460517	192.251845017348	-4550.48460517042	0.0964851819618826
27	297295	300388.614766282	199.764655005441	-3093.61476628197	0.165547008546365
28	305671	300679.99781092	201.085358994436	4991.00218907977	0.0240237503207013
29	303853	300184.919648993	192.700944331134	3668.08035100729	-0.186079007986115
30	300708	300103.484008473	190.303698069081	604.515991527336	-0.0739081609641264
31	298194	299288.650388872	183.653357184293	-1094.65038887199	-0.271554543803667
32	292254	297144.463410852	170.239653628462	-4890.4634108518	-0.629060810069576
33	290646	298018.560625896	174.063194708654	-7372.56062589577	0.190169751583573
34	314707	304097.951316418	201.694808136721	10609.0486835817	1.59446924096619
35	317009	309027.17331373	214.739509770984	7981.82668627033	1.27535134111758
36	317706	314225.689436251	214.613352925899	3480.31056374947	1.34676690372308
37	313312	315895.73136391	212.949324216178	-2583.73136390999	0.394494591783361
38	311048	316351.084624289	213.625820542405	-5303.08462428903	0.0649010775369398
39	315917	318108.730690015	226.210561641951	-2191.73069001539	0.406796645749493
40	326174	319972.82596924	243.970441239368	6201.17403076042	0.432145993114833
41	322116	319163.127829454	232.967786772948	2952.87217054628	-0.281158872359222
42	317092	317085.739944216	213.108817606003	6.26005578435593	-0.621646368400547
43	310468	313180.466910738	185.034594992568	-2712.4669107379	-1.11192484366853
44	302438	309965.506018846	165.963687455419	-7527.50601884641	-0.918746830402006
45	298493	309024.423538836	160.757841559914	-10531.4235388363	-0.299067676620483
46	320124	310636.904685788	165.9695817162	9487.09531421239	0.391842767684394
47	321873	313937.921477692	172.434467611113	7935.07852230792	0.845670371877639
48	321676	317126.750714396	174.505659212744	4549.24928560363	0.814176019351175
49	316696	318996.870934472	175.86891038364	-2300.87093447204	0.457286046277135
50	312612	319252.964596115	176.127788934333	-6640.96459611466	0.0214708046621453
51	313307	317627.519400278	164.392375017067	-4320.51940027753	-0.477860414923154
52	320883	315431.570887027	143.953591990191	5451.42911297344	-0.62579493812167
53	318749	314560.517809274	134.848424283245	4188.48219072622	-0.270920323229788
54	315126	313524.571507893	125.471070279602	1601.42849210746	-0.314643832185244
55	304600	309022.202089574	94.7025795429836	-4422.20208957407	-1.24840700312593
56	295245	304873.965849367	71.8622193713963	-9628.96584936749	-1.14598010762848
57	293619	304616.760329211	70.4661286961112	-10997.7603292113	-0.0888611049756409
58	309700	303132.168542367	65.6777808079708	6567.83145763282	-0.419605154258056
59	310597	303549.72112731	66.3587014804362	7047.27887269003	0.0948977741677519
60	307416	303593.037289395	66.3298315795301	3822.962710605	-0.00621325038171786
61	301126	303340.409928075	65.7947136950113	-2214.40992807543	-0.085846522701191

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

Figure 5

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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

par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[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