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R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Fri, 04 Dec 2009 09:26:06 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259943993ihv6kxknkhtm734.htm/, Retrieved Sun, 28 Apr 2024 15:43:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63858, Retrieved Sun, 28 Apr 2024 15:43:40 +0000

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Estimated Impact

127

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Structural Time Series Models] [] [2009-11-27 15:02:30] [b98453cac15ba1066b407e146608df68]
- R PD    [Structural Time Series Models] [] [2009-12-01 18:53:41] [ee35698a38947a6c6c039b1e3deafc05]
- R PD        [Structural Time Series Models] [] [2009-12-04 16:26:06] [18c0746232b29e9668aa6bedcb8dd698] [Current]

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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63858&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63858&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63858&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' @ 72.249.127.135

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	12.6	12.6	0	0	0
2	15.7	15.5388000172094	0.161199982665824	0.161199982790641	0.350857033317212
3	13.2	13.0494024062639	0.150597593736148	0.150597593736147	-0.528088359938187
4	20.3	20.1218254156455	0.178174584354548	0.178174584354548	1.37904992795009
5	12.8	12.6521739284379	0.147826071562064	0.147826071562065	-1.523680578377
6	8	7.87165355649838	0.128346443501617	0.128346443501617	-0.981869492247665
7	0.9	0.800000010033982	0.0999999899660182	0.0999999899660182	-1.43443762055836
8	3.6	3.48984376110314	0.110156238896860	0.110156238896860	0.515963994676113
9	14.1	13.9494163578671	0.150583642132930	0.150583642132930	2.06185621936768
10	21.7	21.5205426541802	0.179457345819803	0.179457345819804	1.47834193439937
11	24.5	24.3104247299659	0.189575270034137	0.189575270034137	0.520052445858691
12	18.9	18.7326923247656	0.167307675234378	0.167307675234379	-1.14896249341729
13	13.9	16.7438318210767	0.258530165512457	-2.84383182107675	-0.518984489036904
14	11	10.8894545510070	0.110545449151180	0.110545448993041	-1.03612776069955
15	5.8	5.69909256345542	0.100907436544588	0.100907436544583	-1.05497122625881
16	15.5	15.3817029039673	0.118297096032653	0.118297096032654	1.90691958560445
17	22.4	22.2694394274158	0.130560572584176	0.130560572584175	1.34722977476748
18	31.7	31.5528880936131	0.14711190638694	0.147111906386940	1.82157227872193
19	30.3	30.1556756824816	0.144324317518361	0.144324317518361	-0.307344933590962
20	31.4	31.2539568414196	0.146043158580386	0.146043158580387	0.189852172126791
21	20.2	20.0743267562174	0.125673243782572	0.125673243782573	-2.25398057334009
22	19.7	19.5754480343713	0.124551965628695	0.124551965628696	-0.124295103572135
23	10.8	10.6915921336151	0.108407866384933	0.108407866384932	-1.79280388555995
24	13.2	13.0875000050261	0.112499994973909	0.112499994973909	0.455244966257191
25	15.1	15.7800293435282	0.0618208497087116	-0.680029343528169	0.565718166449607
26	15.6	15.5428235340195	0.0571764692466907	0.0571764659804609	-0.054045981757339
27	15.5	15.4430082269432	0.0569917730567833	0.0569917730567751	-0.0312340398359728
28	12.7	12.6463615035396	0.0536384964603723	0.0536384964603725	-0.567740546716113
29	10.9	10.8485345849268	0.0514654150731668	0.051465415073167	-0.368354738784763
30	10	9.9496487130036	0.050351286996402	0.0503512869964015	-0.189075181564763
31	9.1	9.05076023493292	0.0492397650670825	0.0492397650670823	-0.188853911536807
32	10.3	10.2494158889170	0.050584111083046	0.0505841110830458	0.228679355966904
33	16.9	16.8417736303037	0.0582263696963244	0.0582263696963248	1.30150241898810
34	22	21.935897437492	0.06410256250802	0.064102562508022	1.00190385743441
35	27.6	27.529452853999	0.0705471460010164	0.0705471460010158	1.10009714255546
36	28.9	28.8280232577131	0.0719767422869004	0.0719767422869013	0.244317837053741
37	31	31.4350662484538	0.0395514774250695	-0.435066248453753	0.538357204773166
38	32.9	32.8447826128305	0.0552173904643761	0.0552173871694852	0.254502312470622
39	38.1	38.0403127728093	0.059687227190695	0.0596872271906882	1.0225256850404
40	28.8	28.7484375010357	0.0515624989643184	0.0515624989643184	-1.86023879639953
41	29	28.9483087607962	0.0516912392037955	0.0516912392037958	0.0295019796708099
42	21.8	21.7545927218006	0.0454072781993544	0.0454072781993544	-1.44127546266518
43	28.8	28.7485714296	0.0514285704000099	0.0514285704000099	1.38222757636810
44	25.6	25.5513840839797	0.0486159160203018	0.0486159160203027	-0.646222733211577
45	28.2	28.1491789119834	0.0508210880166122	0.0508210880166124	0.50708880032877
46	20.2	20.1561312615710	0.0438687384290457	0.0438687384290453	-1.60010511850022
47	17.9	17.8581535813821	0.0418464186178581	0.0418464186178573	-0.465845374386297
48	16.3	16.2595689661792	0.0404310338208382	0.0404310338208391	-0.326318121710195
49	13.2	13.8955503372644	0.0632318489836485	-0.695550337264435	-0.502408754575954
50	8.1	8.08986207011151	0.0101379309664062	0.0101379298884898	-1.10676632260415
51	4.5	4.49235010315646	0.00764989684354816	0.00764989684354386	-0.717579510365082
52	-0.1	-0.104476584338242	0.00447658433824165	0.00447658433824158	-0.915853079148763
53	0	-0.00454232653561212	0.00454232653561205	0.00454232653561213	0.0189869970746658
54	2.3	2.2938789543418	0.00612104565820012	0.00612104565820049	0.456263609829756
55	2.8	2.79353951864458	0.00646048135542261	0.0064604813554227	0.0981673722089443
56	2.9	2.89347527447162	0.0065247255283812	0.00652472552838229	0.0185926750492944
57	0.1	0.095401509640507	0.00459849035949329	0.00459849035949344	-0.557847798479695
58	3.5	3.49307270209076	0.00692729790923975	0.00692729790924046	0.674897921263584
59	8.6	8.58958190527854	0.0104180947214615	0.010418094721461	1.01234124394800
60	13.8	13.7860273972310	0.0139726027690134	0.0139726027690143	1.03152445348237

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 12.6 & 12.6 & 0 & 0 & 0 \tabularnewline
2 & 15.7 & 15.5388000172094 & 0.161199982665824 & 0.161199982790641 & 0.350857033317212 \tabularnewline
3 & 13.2 & 13.0494024062639 & 0.150597593736148 & 0.150597593736147 & -0.528088359938187 \tabularnewline
4 & 20.3 & 20.1218254156455 & 0.178174584354548 & 0.178174584354548 & 1.37904992795009 \tabularnewline
5 & 12.8 & 12.6521739284379 & 0.147826071562064 & 0.147826071562065 & -1.523680578377 \tabularnewline
6 & 8 & 7.87165355649838 & 0.128346443501617 & 0.128346443501617 & -0.981869492247665 \tabularnewline
7 & 0.9 & 0.800000010033982 & 0.0999999899660182 & 0.0999999899660182 & -1.43443762055836 \tabularnewline
8 & 3.6 & 3.48984376110314 & 0.110156238896860 & 0.110156238896860 & 0.515963994676113 \tabularnewline
9 & 14.1 & 13.9494163578671 & 0.150583642132930 & 0.150583642132930 & 2.06185621936768 \tabularnewline
10 & 21.7 & 21.5205426541802 & 0.179457345819803 & 0.179457345819804 & 1.47834193439937 \tabularnewline
11 & 24.5 & 24.3104247299659 & 0.189575270034137 & 0.189575270034137 & 0.520052445858691 \tabularnewline
12 & 18.9 & 18.7326923247656 & 0.167307675234378 & 0.167307675234379 & -1.14896249341729 \tabularnewline
13 & 13.9 & 16.7438318210767 & 0.258530165512457 & -2.84383182107675 & -0.518984489036904 \tabularnewline
14 & 11 & 10.8894545510070 & 0.110545449151180 & 0.110545448993041 & -1.03612776069955 \tabularnewline
15 & 5.8 & 5.69909256345542 & 0.100907436544588 & 0.100907436544583 & -1.05497122625881 \tabularnewline
16 & 15.5 & 15.3817029039673 & 0.118297096032653 & 0.118297096032654 & 1.90691958560445 \tabularnewline
17 & 22.4 & 22.2694394274158 & 0.130560572584176 & 0.130560572584175 & 1.34722977476748 \tabularnewline
18 & 31.7 & 31.5528880936131 & 0.14711190638694 & 0.147111906386940 & 1.82157227872193 \tabularnewline
19 & 30.3 & 30.1556756824816 & 0.144324317518361 & 0.144324317518361 & -0.307344933590962 \tabularnewline
20 & 31.4 & 31.2539568414196 & 0.146043158580386 & 0.146043158580387 & 0.189852172126791 \tabularnewline
21 & 20.2 & 20.0743267562174 & 0.125673243782572 & 0.125673243782573 & -2.25398057334009 \tabularnewline
22 & 19.7 & 19.5754480343713 & 0.124551965628695 & 0.124551965628696 & -0.124295103572135 \tabularnewline
23 & 10.8 & 10.6915921336151 & 0.108407866384933 & 0.108407866384932 & -1.79280388555995 \tabularnewline
24 & 13.2 & 13.0875000050261 & 0.112499994973909 & 0.112499994973909 & 0.455244966257191 \tabularnewline
25 & 15.1 & 15.7800293435282 & 0.0618208497087116 & -0.680029343528169 & 0.565718166449607 \tabularnewline
26 & 15.6 & 15.5428235340195 & 0.0571764692466907 & 0.0571764659804609 & -0.054045981757339 \tabularnewline
27 & 15.5 & 15.4430082269432 & 0.0569917730567833 & 0.0569917730567751 & -0.0312340398359728 \tabularnewline
28 & 12.7 & 12.6463615035396 & 0.0536384964603723 & 0.0536384964603725 & -0.567740546716113 \tabularnewline
29 & 10.9 & 10.8485345849268 & 0.0514654150731668 & 0.051465415073167 & -0.368354738784763 \tabularnewline
30 & 10 & 9.9496487130036 & 0.050351286996402 & 0.0503512869964015 & -0.189075181564763 \tabularnewline
31 & 9.1 & 9.05076023493292 & 0.0492397650670825 & 0.0492397650670823 & -0.188853911536807 \tabularnewline
32 & 10.3 & 10.2494158889170 & 0.050584111083046 & 0.0505841110830458 & 0.228679355966904 \tabularnewline
33 & 16.9 & 16.8417736303037 & 0.0582263696963244 & 0.0582263696963248 & 1.30150241898810 \tabularnewline
34 & 22 & 21.935897437492 & 0.06410256250802 & 0.064102562508022 & 1.00190385743441 \tabularnewline
35 & 27.6 & 27.529452853999 & 0.0705471460010164 & 0.0705471460010158 & 1.10009714255546 \tabularnewline
36 & 28.9 & 28.8280232577131 & 0.0719767422869004 & 0.0719767422869013 & 0.244317837053741 \tabularnewline
37 & 31 & 31.4350662484538 & 0.0395514774250695 & -0.435066248453753 & 0.538357204773166 \tabularnewline
38 & 32.9 & 32.8447826128305 & 0.0552173904643761 & 0.0552173871694852 & 0.254502312470622 \tabularnewline
39 & 38.1 & 38.0403127728093 & 0.059687227190695 & 0.0596872271906882 & 1.0225256850404 \tabularnewline
40 & 28.8 & 28.7484375010357 & 0.0515624989643184 & 0.0515624989643184 & -1.86023879639953 \tabularnewline
41 & 29 & 28.9483087607962 & 0.0516912392037955 & 0.0516912392037958 & 0.0295019796708099 \tabularnewline
42 & 21.8 & 21.7545927218006 & 0.0454072781993544 & 0.0454072781993544 & -1.44127546266518 \tabularnewline
43 & 28.8 & 28.7485714296 & 0.0514285704000099 & 0.0514285704000099 & 1.38222757636810 \tabularnewline
44 & 25.6 & 25.5513840839797 & 0.0486159160203018 & 0.0486159160203027 & -0.646222733211577 \tabularnewline
45 & 28.2 & 28.1491789119834 & 0.0508210880166122 & 0.0508210880166124 & 0.50708880032877 \tabularnewline
46 & 20.2 & 20.1561312615710 & 0.0438687384290457 & 0.0438687384290453 & -1.60010511850022 \tabularnewline
47 & 17.9 & 17.8581535813821 & 0.0418464186178581 & 0.0418464186178573 & -0.465845374386297 \tabularnewline
48 & 16.3 & 16.2595689661792 & 0.0404310338208382 & 0.0404310338208391 & -0.326318121710195 \tabularnewline
49 & 13.2 & 13.8955503372644 & 0.0632318489836485 & -0.695550337264435 & -0.502408754575954 \tabularnewline
50 & 8.1 & 8.08986207011151 & 0.0101379309664062 & 0.0101379298884898 & -1.10676632260415 \tabularnewline
51 & 4.5 & 4.49235010315646 & 0.00764989684354816 & 0.00764989684354386 & -0.717579510365082 \tabularnewline
52 & -0.1 & -0.104476584338242 & 0.00447658433824165 & 0.00447658433824158 & -0.915853079148763 \tabularnewline
53 & 0 & -0.00454232653561212 & 0.00454232653561205 & 0.00454232653561213 & 0.0189869970746658 \tabularnewline
54 & 2.3 & 2.2938789543418 & 0.00612104565820012 & 0.00612104565820049 & 0.456263609829756 \tabularnewline
55 & 2.8 & 2.79353951864458 & 0.00646048135542261 & 0.0064604813554227 & 0.0981673722089443 \tabularnewline
56 & 2.9 & 2.89347527447162 & 0.0065247255283812 & 0.00652472552838229 & 0.0185926750492944 \tabularnewline
57 & 0.1 & 0.095401509640507 & 0.00459849035949329 & 0.00459849035949344 & -0.557847798479695 \tabularnewline
58 & 3.5 & 3.49307270209076 & 0.00692729790923975 & 0.00692729790924046 & 0.674897921263584 \tabularnewline
59 & 8.6 & 8.58958190527854 & 0.0104180947214615 & 0.010418094721461 & 1.01234124394800 \tabularnewline
60 & 13.8 & 13.7860273972310 & 0.0139726027690134 & 0.0139726027690143 & 1.03152445348237 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63858&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]12.6[/C][C]12.6[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]15.7[/C][C]15.5388000172094[/C][C]0.161199982665824[/C][C]0.161199982790641[/C][C]0.350857033317212[/C][/ROW]
[ROW][C]3[/C][C]13.2[/C][C]13.0494024062639[/C][C]0.150597593736148[/C][C]0.150597593736147[/C][C]-0.528088359938187[/C][/ROW]
[ROW][C]4[/C][C]20.3[/C][C]20.1218254156455[/C][C]0.178174584354548[/C][C]0.178174584354548[/C][C]1.37904992795009[/C][/ROW]
[ROW][C]5[/C][C]12.8[/C][C]12.6521739284379[/C][C]0.147826071562064[/C][C]0.147826071562065[/C][C]-1.523680578377[/C][/ROW]
[ROW][C]6[/C][C]8[/C][C]7.87165355649838[/C][C]0.128346443501617[/C][C]0.128346443501617[/C][C]-0.981869492247665[/C][/ROW]
[ROW][C]7[/C][C]0.9[/C][C]0.800000010033982[/C][C]0.0999999899660182[/C][C]0.0999999899660182[/C][C]-1.43443762055836[/C][/ROW]
[ROW][C]8[/C][C]3.6[/C][C]3.48984376110314[/C][C]0.110156238896860[/C][C]0.110156238896860[/C][C]0.515963994676113[/C][/ROW]
[ROW][C]9[/C][C]14.1[/C][C]13.9494163578671[/C][C]0.150583642132930[/C][C]0.150583642132930[/C][C]2.06185621936768[/C][/ROW]
[ROW][C]10[/C][C]21.7[/C][C]21.5205426541802[/C][C]0.179457345819803[/C][C]0.179457345819804[/C][C]1.47834193439937[/C][/ROW]
[ROW][C]11[/C][C]24.5[/C][C]24.3104247299659[/C][C]0.189575270034137[/C][C]0.189575270034137[/C][C]0.520052445858691[/C][/ROW]
[ROW][C]12[/C][C]18.9[/C][C]18.7326923247656[/C][C]0.167307675234378[/C][C]0.167307675234379[/C][C]-1.14896249341729[/C][/ROW]
[ROW][C]13[/C][C]13.9[/C][C]16.7438318210767[/C][C]0.258530165512457[/C][C]-2.84383182107675[/C][C]-0.518984489036904[/C][/ROW]
[ROW][C]14[/C][C]11[/C][C]10.8894545510070[/C][C]0.110545449151180[/C][C]0.110545448993041[/C][C]-1.03612776069955[/C][/ROW]
[ROW][C]15[/C][C]5.8[/C][C]5.69909256345542[/C][C]0.100907436544588[/C][C]0.100907436544583[/C][C]-1.05497122625881[/C][/ROW]
[ROW][C]16[/C][C]15.5[/C][C]15.3817029039673[/C][C]0.118297096032653[/C][C]0.118297096032654[/C][C]1.90691958560445[/C][/ROW]
[ROW][C]17[/C][C]22.4[/C][C]22.2694394274158[/C][C]0.130560572584176[/C][C]0.130560572584175[/C][C]1.34722977476748[/C][/ROW]
[ROW][C]18[/C][C]31.7[/C][C]31.5528880936131[/C][C]0.14711190638694[/C][C]0.147111906386940[/C][C]1.82157227872193[/C][/ROW]
[ROW][C]19[/C][C]30.3[/C][C]30.1556756824816[/C][C]0.144324317518361[/C][C]0.144324317518361[/C][C]-0.307344933590962[/C][/ROW]
[ROW][C]20[/C][C]31.4[/C][C]31.2539568414196[/C][C]0.146043158580386[/C][C]0.146043158580387[/C][C]0.189852172126791[/C][/ROW]
[ROW][C]21[/C][C]20.2[/C][C]20.0743267562174[/C][C]0.125673243782572[/C][C]0.125673243782573[/C][C]-2.25398057334009[/C][/ROW]
[ROW][C]22[/C][C]19.7[/C][C]19.5754480343713[/C][C]0.124551965628695[/C][C]0.124551965628696[/C][C]-0.124295103572135[/C][/ROW]
[ROW][C]23[/C][C]10.8[/C][C]10.6915921336151[/C][C]0.108407866384933[/C][C]0.108407866384932[/C][C]-1.79280388555995[/C][/ROW]
[ROW][C]24[/C][C]13.2[/C][C]13.0875000050261[/C][C]0.112499994973909[/C][C]0.112499994973909[/C][C]0.455244966257191[/C][/ROW]
[ROW][C]25[/C][C]15.1[/C][C]15.7800293435282[/C][C]0.0618208497087116[/C][C]-0.680029343528169[/C][C]0.565718166449607[/C][/ROW]
[ROW][C]26[/C][C]15.6[/C][C]15.5428235340195[/C][C]0.0571764692466907[/C][C]0.0571764659804609[/C][C]-0.054045981757339[/C][/ROW]
[ROW][C]27[/C][C]15.5[/C][C]15.4430082269432[/C][C]0.0569917730567833[/C][C]0.0569917730567751[/C][C]-0.0312340398359728[/C][/ROW]
[ROW][C]28[/C][C]12.7[/C][C]12.6463615035396[/C][C]0.0536384964603723[/C][C]0.0536384964603725[/C][C]-0.567740546716113[/C][/ROW]
[ROW][C]29[/C][C]10.9[/C][C]10.8485345849268[/C][C]0.0514654150731668[/C][C]0.051465415073167[/C][C]-0.368354738784763[/C][/ROW]
[ROW][C]30[/C][C]10[/C][C]9.9496487130036[/C][C]0.050351286996402[/C][C]0.0503512869964015[/C][C]-0.189075181564763[/C][/ROW]
[ROW][C]31[/C][C]9.1[/C][C]9.05076023493292[/C][C]0.0492397650670825[/C][C]0.0492397650670823[/C][C]-0.188853911536807[/C][/ROW]
[ROW][C]32[/C][C]10.3[/C][C]10.2494158889170[/C][C]0.050584111083046[/C][C]0.0505841110830458[/C][C]0.228679355966904[/C][/ROW]
[ROW][C]33[/C][C]16.9[/C][C]16.8417736303037[/C][C]0.0582263696963244[/C][C]0.0582263696963248[/C][C]1.30150241898810[/C][/ROW]
[ROW][C]34[/C][C]22[/C][C]21.935897437492[/C][C]0.06410256250802[/C][C]0.064102562508022[/C][C]1.00190385743441[/C][/ROW]
[ROW][C]35[/C][C]27.6[/C][C]27.529452853999[/C][C]0.0705471460010164[/C][C]0.0705471460010158[/C][C]1.10009714255546[/C][/ROW]
[ROW][C]36[/C][C]28.9[/C][C]28.8280232577131[/C][C]0.0719767422869004[/C][C]0.0719767422869013[/C][C]0.244317837053741[/C][/ROW]
[ROW][C]37[/C][C]31[/C][C]31.4350662484538[/C][C]0.0395514774250695[/C][C]-0.435066248453753[/C][C]0.538357204773166[/C][/ROW]
[ROW][C]38[/C][C]32.9[/C][C]32.8447826128305[/C][C]0.0552173904643761[/C][C]0.0552173871694852[/C][C]0.254502312470622[/C][/ROW]
[ROW][C]39[/C][C]38.1[/C][C]38.0403127728093[/C][C]0.059687227190695[/C][C]0.0596872271906882[/C][C]1.0225256850404[/C][/ROW]
[ROW][C]40[/C][C]28.8[/C][C]28.7484375010357[/C][C]0.0515624989643184[/C][C]0.0515624989643184[/C][C]-1.86023879639953[/C][/ROW]
[ROW][C]41[/C][C]29[/C][C]28.9483087607962[/C][C]0.0516912392037955[/C][C]0.0516912392037958[/C][C]0.0295019796708099[/C][/ROW]
[ROW][C]42[/C][C]21.8[/C][C]21.7545927218006[/C][C]0.0454072781993544[/C][C]0.0454072781993544[/C][C]-1.44127546266518[/C][/ROW]
[ROW][C]43[/C][C]28.8[/C][C]28.7485714296[/C][C]0.0514285704000099[/C][C]0.0514285704000099[/C][C]1.38222757636810[/C][/ROW]
[ROW][C]44[/C][C]25.6[/C][C]25.5513840839797[/C][C]0.0486159160203018[/C][C]0.0486159160203027[/C][C]-0.646222733211577[/C][/ROW]
[ROW][C]45[/C][C]28.2[/C][C]28.1491789119834[/C][C]0.0508210880166122[/C][C]0.0508210880166124[/C][C]0.50708880032877[/C][/ROW]
[ROW][C]46[/C][C]20.2[/C][C]20.1561312615710[/C][C]0.0438687384290457[/C][C]0.0438687384290453[/C][C]-1.60010511850022[/C][/ROW]
[ROW][C]47[/C][C]17.9[/C][C]17.8581535813821[/C][C]0.0418464186178581[/C][C]0.0418464186178573[/C][C]-0.465845374386297[/C][/ROW]
[ROW][C]48[/C][C]16.3[/C][C]16.2595689661792[/C][C]0.0404310338208382[/C][C]0.0404310338208391[/C][C]-0.326318121710195[/C][/ROW]
[ROW][C]49[/C][C]13.2[/C][C]13.8955503372644[/C][C]0.0632318489836485[/C][C]-0.695550337264435[/C][C]-0.502408754575954[/C][/ROW]
[ROW][C]50[/C][C]8.1[/C][C]8.08986207011151[/C][C]0.0101379309664062[/C][C]0.0101379298884898[/C][C]-1.10676632260415[/C][/ROW]
[ROW][C]51[/C][C]4.5[/C][C]4.49235010315646[/C][C]0.00764989684354816[/C][C]0.00764989684354386[/C][C]-0.717579510365082[/C][/ROW]
[ROW][C]52[/C][C]-0.1[/C][C]-0.104476584338242[/C][C]0.00447658433824165[/C][C]0.00447658433824158[/C][C]-0.915853079148763[/C][/ROW]
[ROW][C]53[/C][C]0[/C][C]-0.00454232653561212[/C][C]0.00454232653561205[/C][C]0.00454232653561213[/C][C]0.0189869970746658[/C][/ROW]
[ROW][C]54[/C][C]2.3[/C][C]2.2938789543418[/C][C]0.00612104565820012[/C][C]0.00612104565820049[/C][C]0.456263609829756[/C][/ROW]
[ROW][C]55[/C][C]2.8[/C][C]2.79353951864458[/C][C]0.00646048135542261[/C][C]0.0064604813554227[/C][C]0.0981673722089443[/C][/ROW]
[ROW][C]56[/C][C]2.9[/C][C]2.89347527447162[/C][C]0.0065247255283812[/C][C]0.00652472552838229[/C][C]0.0185926750492944[/C][/ROW]
[ROW][C]57[/C][C]0.1[/C][C]0.095401509640507[/C][C]0.00459849035949329[/C][C]0.00459849035949344[/C][C]-0.557847798479695[/C][/ROW]
[ROW][C]58[/C][C]3.5[/C][C]3.49307270209076[/C][C]0.00692729790923975[/C][C]0.00692729790924046[/C][C]0.674897921263584[/C][/ROW]
[ROW][C]59[/C][C]8.6[/C][C]8.58958190527854[/C][C]0.0104180947214615[/C][C]0.010418094721461[/C][C]1.01234124394800[/C][/ROW]
[ROW][C]60[/C][C]13.8[/C][C]13.7860273972310[/C][C]0.0139726027690134[/C][C]0.0139726027690143[/C][C]1.03152445348237[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63858&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63858&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	12.6	12.6	0	0	0
2	15.7	15.5388000172094	0.161199982665824	0.161199982790641	0.350857033317212
3	13.2	13.0494024062639	0.150597593736148	0.150597593736147	-0.528088359938187
4	20.3	20.1218254156455	0.178174584354548	0.178174584354548	1.37904992795009
5	12.8	12.6521739284379	0.147826071562064	0.147826071562065	-1.523680578377
6	8	7.87165355649838	0.128346443501617	0.128346443501617	-0.981869492247665
7	0.9	0.800000010033982	0.0999999899660182	0.0999999899660182	-1.43443762055836
8	3.6	3.48984376110314	0.110156238896860	0.110156238896860	0.515963994676113
9	14.1	13.9494163578671	0.150583642132930	0.150583642132930	2.06185621936768
10	21.7	21.5205426541802	0.179457345819803	0.179457345819804	1.47834193439937
11	24.5	24.3104247299659	0.189575270034137	0.189575270034137	0.520052445858691
12	18.9	18.7326923247656	0.167307675234378	0.167307675234379	-1.14896249341729
13	13.9	16.7438318210767	0.258530165512457	-2.84383182107675	-0.518984489036904
14	11	10.8894545510070	0.110545449151180	0.110545448993041	-1.03612776069955
15	5.8	5.69909256345542	0.100907436544588	0.100907436544583	-1.05497122625881
16	15.5	15.3817029039673	0.118297096032653	0.118297096032654	1.90691958560445
17	22.4	22.2694394274158	0.130560572584176	0.130560572584175	1.34722977476748
18	31.7	31.5528880936131	0.14711190638694	0.147111906386940	1.82157227872193
19	30.3	30.1556756824816	0.144324317518361	0.144324317518361	-0.307344933590962
20	31.4	31.2539568414196	0.146043158580386	0.146043158580387	0.189852172126791
21	20.2	20.0743267562174	0.125673243782572	0.125673243782573	-2.25398057334009
22	19.7	19.5754480343713	0.124551965628695	0.124551965628696	-0.124295103572135
23	10.8	10.6915921336151	0.108407866384933	0.108407866384932	-1.79280388555995
24	13.2	13.0875000050261	0.112499994973909	0.112499994973909	0.455244966257191
25	15.1	15.7800293435282	0.0618208497087116	-0.680029343528169	0.565718166449607
26	15.6	15.5428235340195	0.0571764692466907	0.0571764659804609	-0.054045981757339
27	15.5	15.4430082269432	0.0569917730567833	0.0569917730567751	-0.0312340398359728
28	12.7	12.6463615035396	0.0536384964603723	0.0536384964603725	-0.567740546716113
29	10.9	10.8485345849268	0.0514654150731668	0.051465415073167	-0.368354738784763
30	10	9.9496487130036	0.050351286996402	0.0503512869964015	-0.189075181564763
31	9.1	9.05076023493292	0.0492397650670825	0.0492397650670823	-0.188853911536807
32	10.3	10.2494158889170	0.050584111083046	0.0505841110830458	0.228679355966904
33	16.9	16.8417736303037	0.0582263696963244	0.0582263696963248	1.30150241898810
34	22	21.935897437492	0.06410256250802	0.064102562508022	1.00190385743441
35	27.6	27.529452853999	0.0705471460010164	0.0705471460010158	1.10009714255546
36	28.9	28.8280232577131	0.0719767422869004	0.0719767422869013	0.244317837053741
37	31	31.4350662484538	0.0395514774250695	-0.435066248453753	0.538357204773166
38	32.9	32.8447826128305	0.0552173904643761	0.0552173871694852	0.254502312470622
39	38.1	38.0403127728093	0.059687227190695	0.0596872271906882	1.0225256850404
40	28.8	28.7484375010357	0.0515624989643184	0.0515624989643184	-1.86023879639953
41	29	28.9483087607962	0.0516912392037955	0.0516912392037958	0.0295019796708099
42	21.8	21.7545927218006	0.0454072781993544	0.0454072781993544	-1.44127546266518
43	28.8	28.7485714296	0.0514285704000099	0.0514285704000099	1.38222757636810
44	25.6	25.5513840839797	0.0486159160203018	0.0486159160203027	-0.646222733211577
45	28.2	28.1491789119834	0.0508210880166122	0.0508210880166124	0.50708880032877
46	20.2	20.1561312615710	0.0438687384290457	0.0438687384290453	-1.60010511850022
47	17.9	17.8581535813821	0.0418464186178581	0.0418464186178573	-0.465845374386297
48	16.3	16.2595689661792	0.0404310338208382	0.0404310338208391	-0.326318121710195
49	13.2	13.8955503372644	0.0632318489836485	-0.695550337264435	-0.502408754575954
50	8.1	8.08986207011151	0.0101379309664062	0.0101379298884898	-1.10676632260415
51	4.5	4.49235010315646	0.00764989684354816	0.00764989684354386	-0.717579510365082
52	-0.1	-0.104476584338242	0.00447658433824165	0.00447658433824158	-0.915853079148763
53	0	-0.00454232653561212	0.00454232653561205	0.00454232653561213	0.0189869970746658
54	2.3	2.2938789543418	0.00612104565820012	0.00612104565820049	0.456263609829756
55	2.8	2.79353951864458	0.00646048135542261	0.0064604813554227	0.0981673722089443
56	2.9	2.89347527447162	0.0065247255283812	0.00652472552838229	0.0185926750492944
57	0.1	0.095401509640507	0.00459849035949329	0.00459849035949344	-0.557847798479695
58	3.5	3.49307270209076	0.00692729790923975	0.00692729790924046	0.674897921263584
59	8.6	8.58958190527854	0.0104180947214615	0.010418094721461	1.01234124394800
60	13.8	13.7860273972310	0.0139726027690134	0.0139726027690143	1.03152445348237

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 = 0.01 ; par2 = 0.99 ; par3 = 0.005 ;

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