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*The author of this computation has been verified*

R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Fri, 04 Dec 2009 08:49:46 -0700

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/2009/Dec/04/t1259941823ois2kazam6sa337.htm/, Retrieved Sat, 27 Apr 2024 22:49:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63799, Retrieved Sat, 27 Apr 2024 22:49:30 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

109

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]
-    D    [Structural Time Series Models] [SHW WS9] [2009-12-03 18:46:26] [253127ae8da904b75450fbd69fe4eb21]
-   PD        [Structural Time Series Models] [Structural Time S...] [2009-12-04 15:49:46] [244731fa3e7e6c85774b8c0902c58f85] [Current]
-   PD          [Structural Time Series Models] [Structural Time S...] [2009-12-06 20:06:51] [ba905ddf7cdf9ecb063c35348c4dab2e] 
-   PD          [Structural Time Series Models] [] [2009-12-06 20:06:51] [ba905ddf7cdf9ecb063c35348c4dab2e] 

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Dataseries X:

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Boxplots

6,3
6,2
6,1
6,3
6,5
6,6
6,5
6,2
6,2
5,9
6,1
6,1
6,1
6,1
6,1
6,4
6,7
6,9
7
7
6,8
6,4
5,9
5,5
5,5
5,6
5,8
5,9
6,1
6,1
6
6
5,9
5,5
5,6
5,4
5,2
5,2
5,2
5,5
5,8
5,8
5,5
5,3
5,1
5,2
5,8
5,8
5,5
5
4,9
5,3
6,1
6,5
6,8
6,6
6,4
6,4

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=63799&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=63799&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63799&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	6.3	6.3	0	0	0
2	6.2	6.20029716796157	-0.0997273913760922	-0.000297167961573839	-0.408489295620644
3	6.1	6.09979513470036	-0.100495243360923	0.000204865299644	-0.00315455903164451
4	6.3	6.2977542712815	0.194500442302507	0.00224572871850239	1.20650272869622
5	6.5	6.50056244598451	0.202713665487683	-0.00056244598451217	0.0335939443753683
6	6.6	6.60085242694527	0.101453906892288	-0.000852426945274272	-0.414174750832066
7	6.5	6.50139486682477	-0.0971738506217298	-0.00139486682476845	-0.812431313242722
8	6.2	6.20122037797162	-0.297867060449616	-0.00122037797162428	-0.820879468979458
9	6.2	6.19739745601969	-0.00716518778322905	0.00260254398030883	1.18903474146113
10	5.9	5.90282639286309	-0.291304249880994	-0.00282639286308901	-1.16219139953108
11	6.1	6.09577278145059	0.187442129164529	0.00422721854941176	1.95817822504077
12	6.1	6.10237558835989	0.00865832620058987	-0.00237558835988872	-0.731265165183998
13	6.1	6.0996405840477	-0.00260470068982178	0.000359415952302765	-0.0460731379892089
14	6.1	6.09809831207916	-0.0015542058861936	0.00190168792083857	0.00430205186249085
15	6.1	6.1029153458354	0.00469486711094491	-0.00291534583540403	0.0256578394536613
16	6.4	6.39424499109769	0.285270513823240	0.00575500890231338	1.14739140623323
17	6.7	6.70130836213141	0.306606247633500	-0.00130836213141272	0.087268661388703
18	6.9	6.90212650238412	0.203034133338359	-0.00212650238411872	-0.423632791071569
19	7	6.99776833237055	0.0978920113233735	0.00223166762944939	-0.430054457912472
20	7	7.00831592166869	0.0123777493686246	-0.008315921668692	-0.349772182215832
21	6.8	6.79326621756893	-0.210284393065206	0.00673378243107212	-0.910737246152639
22	6.4	6.41134286161733	-0.378326971685546	-0.0113428616173301	-0.687331190051569
23	5.9	5.89519003324078	-0.513265042694211	0.00480996675922306	-0.551926460204372
24	5.5	5.50019451632248	-0.397473728734047	-0.000194516322480695	0.473612059831032
25	5.5	5.49465719433266	-0.0137777565909232	0.00534280566734439	1.56957820207638
26	5.6	5.59373090296372	0.0967271380448915	0.0062690970362823	0.452416955990329
27	5.8	5.80674668407827	0.209852074922257	-0.00674668407826732	0.464098493181313
28	5.9	5.89852329004553	0.0951171887202256	0.00147670995447078	-0.469164425465421
29	6.1	6.09777884798091	0.196315844309289	0.00222115201908822	0.413933193440927
30	6.1	6.10433051306465	0.0119001181821761	-0.00433051306465253	-0.754300675425817
31	6	5.99991446133558	-0.101137111662663	8.55386644210451e-05	-0.462347213530348
32	6	6.00296433132393	0.000112641777257588	-0.00296433132392659	0.41413381032798
33	5.9	5.89434647535882	-0.105552577898710	0.00565352464118018	-0.432194041436554
34	5.5	5.51269607604272	-0.37386678661241	-0.0126960760427209	-1.09746426305425
35	5.6	5.58333742762385	0.0581108706386614	0.0166625723761448	1.76688394868857
36	5.4	5.41302376348706	-0.163873367966327	-0.0130237634870574	-0.90796494281159
37	5.2	5.19590335095372	-0.215615232430646	0.00409664904628482	-0.211663423911762
38	5.2	5.19428115474978	-0.00761995430960011	0.00571884525021697	0.851278105927362
39	5.2	5.20177504133049	0.00699657067112295	-0.00177504133049006	0.0599187143655675
40	5.5	5.49850349978326	0.287071001223696	0.00149650021673589	1.14524853621215
41	5.8	5.79535181471361	0.296521890400401	0.00464818528638515	0.0386572323901912
42	5.8	5.80539505310433	0.0195907458893417	-0.00539505310432997	-1.13270845750806
43	5.5	5.5105019898551	-0.284411449862545	-0.0105019898550986	-1.24343619640577
44	5.3	5.30200129586594	-0.211031054021123	-0.00200129586594092	0.300141992402568
45	5.1	5.07887731723402	-0.222720881797513	0.0211226827659831	-0.0478139726638196
46	5.2	5.221263236285	0.130215902004513	-0.0212632362849981	1.44358925216182
47	5.8	5.77043016141382	0.535203386883025	0.0295698385861810	1.65648848171649
48	5.8	5.82096959651487	0.0666979291113927	-0.0209695965148683	-1.91629208716602
49	5.5	5.50899350181228	-0.299324133513849	-0.00899350181227969	-1.49734206190159
50	5	4.991928494597	-0.509834519413333	0.00807150540300206	-0.861346783766708
51	4.9	4.89890080864346	-0.108373311863457	0.00109919135654351	1.64473864820553
52	5.3	5.29297322171802	0.375565339047456	0.007026778281981	1.97894098427504
53	6.1	6.08411931110482	0.775775708055115	0.0158806888951814	1.63698665582911
54	6.5	6.50460191986884	0.433598337150142	-0.00460191986883882	-1.39958013388923
55	6.8	6.8167387953026	0.316620496813262	-0.0167387953025987	-0.47846525350062
56	6.6	6.60588419853379	-0.191380760373913	-0.00588419853378606	-2.07783711048498
57	6.4	6.38068298955593	-0.223952571884354	0.0193170104440707	-0.133225890815008
58	6.4	6.43597540121338	0.0449831725585313	-0.0359754012133828	1.10000648024379

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 6.3 & 6.3 & 0 & 0 & 0 \tabularnewline
2 & 6.2 & 6.20029716796157 & -0.0997273913760922 & -0.000297167961573839 & -0.408489295620644 \tabularnewline
3 & 6.1 & 6.09979513470036 & -0.100495243360923 & 0.000204865299644 & -0.00315455903164451 \tabularnewline
4 & 6.3 & 6.2977542712815 & 0.194500442302507 & 0.00224572871850239 & 1.20650272869622 \tabularnewline
5 & 6.5 & 6.50056244598451 & 0.202713665487683 & -0.00056244598451217 & 0.0335939443753683 \tabularnewline
6 & 6.6 & 6.60085242694527 & 0.101453906892288 & -0.000852426945274272 & -0.414174750832066 \tabularnewline
7 & 6.5 & 6.50139486682477 & -0.0971738506217298 & -0.00139486682476845 & -0.812431313242722 \tabularnewline
8 & 6.2 & 6.20122037797162 & -0.297867060449616 & -0.00122037797162428 & -0.820879468979458 \tabularnewline
9 & 6.2 & 6.19739745601969 & -0.00716518778322905 & 0.00260254398030883 & 1.18903474146113 \tabularnewline
10 & 5.9 & 5.90282639286309 & -0.291304249880994 & -0.00282639286308901 & -1.16219139953108 \tabularnewline
11 & 6.1 & 6.09577278145059 & 0.187442129164529 & 0.00422721854941176 & 1.95817822504077 \tabularnewline
12 & 6.1 & 6.10237558835989 & 0.00865832620058987 & -0.00237558835988872 & -0.731265165183998 \tabularnewline
13 & 6.1 & 6.0996405840477 & -0.00260470068982178 & 0.000359415952302765 & -0.0460731379892089 \tabularnewline
14 & 6.1 & 6.09809831207916 & -0.0015542058861936 & 0.00190168792083857 & 0.00430205186249085 \tabularnewline
15 & 6.1 & 6.1029153458354 & 0.00469486711094491 & -0.00291534583540403 & 0.0256578394536613 \tabularnewline
16 & 6.4 & 6.39424499109769 & 0.285270513823240 & 0.00575500890231338 & 1.14739140623323 \tabularnewline
17 & 6.7 & 6.70130836213141 & 0.306606247633500 & -0.00130836213141272 & 0.087268661388703 \tabularnewline
18 & 6.9 & 6.90212650238412 & 0.203034133338359 & -0.00212650238411872 & -0.423632791071569 \tabularnewline
19 & 7 & 6.99776833237055 & 0.0978920113233735 & 0.00223166762944939 & -0.430054457912472 \tabularnewline
20 & 7 & 7.00831592166869 & 0.0123777493686246 & -0.008315921668692 & -0.349772182215832 \tabularnewline
21 & 6.8 & 6.79326621756893 & -0.210284393065206 & 0.00673378243107212 & -0.910737246152639 \tabularnewline
22 & 6.4 & 6.41134286161733 & -0.378326971685546 & -0.0113428616173301 & -0.687331190051569 \tabularnewline
23 & 5.9 & 5.89519003324078 & -0.513265042694211 & 0.00480996675922306 & -0.551926460204372 \tabularnewline
24 & 5.5 & 5.50019451632248 & -0.397473728734047 & -0.000194516322480695 & 0.473612059831032 \tabularnewline
25 & 5.5 & 5.49465719433266 & -0.0137777565909232 & 0.00534280566734439 & 1.56957820207638 \tabularnewline
26 & 5.6 & 5.59373090296372 & 0.0967271380448915 & 0.0062690970362823 & 0.452416955990329 \tabularnewline
27 & 5.8 & 5.80674668407827 & 0.209852074922257 & -0.00674668407826732 & 0.464098493181313 \tabularnewline
28 & 5.9 & 5.89852329004553 & 0.0951171887202256 & 0.00147670995447078 & -0.469164425465421 \tabularnewline
29 & 6.1 & 6.09777884798091 & 0.196315844309289 & 0.00222115201908822 & 0.413933193440927 \tabularnewline
30 & 6.1 & 6.10433051306465 & 0.0119001181821761 & -0.00433051306465253 & -0.754300675425817 \tabularnewline
31 & 6 & 5.99991446133558 & -0.101137111662663 & 8.55386644210451e-05 & -0.462347213530348 \tabularnewline
32 & 6 & 6.00296433132393 & 0.000112641777257588 & -0.00296433132392659 & 0.41413381032798 \tabularnewline
33 & 5.9 & 5.89434647535882 & -0.105552577898710 & 0.00565352464118018 & -0.432194041436554 \tabularnewline
34 & 5.5 & 5.51269607604272 & -0.37386678661241 & -0.0126960760427209 & -1.09746426305425 \tabularnewline
35 & 5.6 & 5.58333742762385 & 0.0581108706386614 & 0.0166625723761448 & 1.76688394868857 \tabularnewline
36 & 5.4 & 5.41302376348706 & -0.163873367966327 & -0.0130237634870574 & -0.90796494281159 \tabularnewline
37 & 5.2 & 5.19590335095372 & -0.215615232430646 & 0.00409664904628482 & -0.211663423911762 \tabularnewline
38 & 5.2 & 5.19428115474978 & -0.00761995430960011 & 0.00571884525021697 & 0.851278105927362 \tabularnewline
39 & 5.2 & 5.20177504133049 & 0.00699657067112295 & -0.00177504133049006 & 0.0599187143655675 \tabularnewline
40 & 5.5 & 5.49850349978326 & 0.287071001223696 & 0.00149650021673589 & 1.14524853621215 \tabularnewline
41 & 5.8 & 5.79535181471361 & 0.296521890400401 & 0.00464818528638515 & 0.0386572323901912 \tabularnewline
42 & 5.8 & 5.80539505310433 & 0.0195907458893417 & -0.00539505310432997 & -1.13270845750806 \tabularnewline
43 & 5.5 & 5.5105019898551 & -0.284411449862545 & -0.0105019898550986 & -1.24343619640577 \tabularnewline
44 & 5.3 & 5.30200129586594 & -0.211031054021123 & -0.00200129586594092 & 0.300141992402568 \tabularnewline
45 & 5.1 & 5.07887731723402 & -0.222720881797513 & 0.0211226827659831 & -0.0478139726638196 \tabularnewline
46 & 5.2 & 5.221263236285 & 0.130215902004513 & -0.0212632362849981 & 1.44358925216182 \tabularnewline
47 & 5.8 & 5.77043016141382 & 0.535203386883025 & 0.0295698385861810 & 1.65648848171649 \tabularnewline
48 & 5.8 & 5.82096959651487 & 0.0666979291113927 & -0.0209695965148683 & -1.91629208716602 \tabularnewline
49 & 5.5 & 5.50899350181228 & -0.299324133513849 & -0.00899350181227969 & -1.49734206190159 \tabularnewline
50 & 5 & 4.991928494597 & -0.509834519413333 & 0.00807150540300206 & -0.861346783766708 \tabularnewline
51 & 4.9 & 4.89890080864346 & -0.108373311863457 & 0.00109919135654351 & 1.64473864820553 \tabularnewline
52 & 5.3 & 5.29297322171802 & 0.375565339047456 & 0.007026778281981 & 1.97894098427504 \tabularnewline
53 & 6.1 & 6.08411931110482 & 0.775775708055115 & 0.0158806888951814 & 1.63698665582911 \tabularnewline
54 & 6.5 & 6.50460191986884 & 0.433598337150142 & -0.00460191986883882 & -1.39958013388923 \tabularnewline
55 & 6.8 & 6.8167387953026 & 0.316620496813262 & -0.0167387953025987 & -0.47846525350062 \tabularnewline
56 & 6.6 & 6.60588419853379 & -0.191380760373913 & -0.00588419853378606 & -2.07783711048498 \tabularnewline
57 & 6.4 & 6.38068298955593 & -0.223952571884354 & 0.0193170104440707 & -0.133225890815008 \tabularnewline
58 & 6.4 & 6.43597540121338 & 0.0449831725585313 & -0.0359754012133828 & 1.10000648024379 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63799&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]6.3[/C][C]6.3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]6.2[/C][C]6.20029716796157[/C][C]-0.0997273913760922[/C][C]-0.000297167961573839[/C][C]-0.408489295620644[/C][/ROW]
[ROW][C]3[/C][C]6.1[/C][C]6.09979513470036[/C][C]-0.100495243360923[/C][C]0.000204865299644[/C][C]-0.00315455903164451[/C][/ROW]
[ROW][C]4[/C][C]6.3[/C][C]6.2977542712815[/C][C]0.194500442302507[/C][C]0.00224572871850239[/C][C]1.20650272869622[/C][/ROW]
[ROW][C]5[/C][C]6.5[/C][C]6.50056244598451[/C][C]0.202713665487683[/C][C]-0.00056244598451217[/C][C]0.0335939443753683[/C][/ROW]
[ROW][C]6[/C][C]6.6[/C][C]6.60085242694527[/C][C]0.101453906892288[/C][C]-0.000852426945274272[/C][C]-0.414174750832066[/C][/ROW]
[ROW][C]7[/C][C]6.5[/C][C]6.50139486682477[/C][C]-0.0971738506217298[/C][C]-0.00139486682476845[/C][C]-0.812431313242722[/C][/ROW]
[ROW][C]8[/C][C]6.2[/C][C]6.20122037797162[/C][C]-0.297867060449616[/C][C]-0.00122037797162428[/C][C]-0.820879468979458[/C][/ROW]
[ROW][C]9[/C][C]6.2[/C][C]6.19739745601969[/C][C]-0.00716518778322905[/C][C]0.00260254398030883[/C][C]1.18903474146113[/C][/ROW]
[ROW][C]10[/C][C]5.9[/C][C]5.90282639286309[/C][C]-0.291304249880994[/C][C]-0.00282639286308901[/C][C]-1.16219139953108[/C][/ROW]
[ROW][C]11[/C][C]6.1[/C][C]6.09577278145059[/C][C]0.187442129164529[/C][C]0.00422721854941176[/C][C]1.95817822504077[/C][/ROW]
[ROW][C]12[/C][C]6.1[/C][C]6.10237558835989[/C][C]0.00865832620058987[/C][C]-0.00237558835988872[/C][C]-0.731265165183998[/C][/ROW]
[ROW][C]13[/C][C]6.1[/C][C]6.0996405840477[/C][C]-0.00260470068982178[/C][C]0.000359415952302765[/C][C]-0.0460731379892089[/C][/ROW]
[ROW][C]14[/C][C]6.1[/C][C]6.09809831207916[/C][C]-0.0015542058861936[/C][C]0.00190168792083857[/C][C]0.00430205186249085[/C][/ROW]
[ROW][C]15[/C][C]6.1[/C][C]6.1029153458354[/C][C]0.00469486711094491[/C][C]-0.00291534583540403[/C][C]0.0256578394536613[/C][/ROW]
[ROW][C]16[/C][C]6.4[/C][C]6.39424499109769[/C][C]0.285270513823240[/C][C]0.00575500890231338[/C][C]1.14739140623323[/C][/ROW]
[ROW][C]17[/C][C]6.7[/C][C]6.70130836213141[/C][C]0.306606247633500[/C][C]-0.00130836213141272[/C][C]0.087268661388703[/C][/ROW]
[ROW][C]18[/C][C]6.9[/C][C]6.90212650238412[/C][C]0.203034133338359[/C][C]-0.00212650238411872[/C][C]-0.423632791071569[/C][/ROW]
[ROW][C]19[/C][C]7[/C][C]6.99776833237055[/C][C]0.0978920113233735[/C][C]0.00223166762944939[/C][C]-0.430054457912472[/C][/ROW]
[ROW][C]20[/C][C]7[/C][C]7.00831592166869[/C][C]0.0123777493686246[/C][C]-0.008315921668692[/C][C]-0.349772182215832[/C][/ROW]
[ROW][C]21[/C][C]6.8[/C][C]6.79326621756893[/C][C]-0.210284393065206[/C][C]0.00673378243107212[/C][C]-0.910737246152639[/C][/ROW]
[ROW][C]22[/C][C]6.4[/C][C]6.41134286161733[/C][C]-0.378326971685546[/C][C]-0.0113428616173301[/C][C]-0.687331190051569[/C][/ROW]
[ROW][C]23[/C][C]5.9[/C][C]5.89519003324078[/C][C]-0.513265042694211[/C][C]0.00480996675922306[/C][C]-0.551926460204372[/C][/ROW]
[ROW][C]24[/C][C]5.5[/C][C]5.50019451632248[/C][C]-0.397473728734047[/C][C]-0.000194516322480695[/C][C]0.473612059831032[/C][/ROW]
[ROW][C]25[/C][C]5.5[/C][C]5.49465719433266[/C][C]-0.0137777565909232[/C][C]0.00534280566734439[/C][C]1.56957820207638[/C][/ROW]
[ROW][C]26[/C][C]5.6[/C][C]5.59373090296372[/C][C]0.0967271380448915[/C][C]0.0062690970362823[/C][C]0.452416955990329[/C][/ROW]
[ROW][C]27[/C][C]5.8[/C][C]5.80674668407827[/C][C]0.209852074922257[/C][C]-0.00674668407826732[/C][C]0.464098493181313[/C][/ROW]
[ROW][C]28[/C][C]5.9[/C][C]5.89852329004553[/C][C]0.0951171887202256[/C][C]0.00147670995447078[/C][C]-0.469164425465421[/C][/ROW]
[ROW][C]29[/C][C]6.1[/C][C]6.09777884798091[/C][C]0.196315844309289[/C][C]0.00222115201908822[/C][C]0.413933193440927[/C][/ROW]
[ROW][C]30[/C][C]6.1[/C][C]6.10433051306465[/C][C]0.0119001181821761[/C][C]-0.00433051306465253[/C][C]-0.754300675425817[/C][/ROW]
[ROW][C]31[/C][C]6[/C][C]5.99991446133558[/C][C]-0.101137111662663[/C][C]8.55386644210451e-05[/C][C]-0.462347213530348[/C][/ROW]
[ROW][C]32[/C][C]6[/C][C]6.00296433132393[/C][C]0.000112641777257588[/C][C]-0.00296433132392659[/C][C]0.41413381032798[/C][/ROW]
[ROW][C]33[/C][C]5.9[/C][C]5.89434647535882[/C][C]-0.105552577898710[/C][C]0.00565352464118018[/C][C]-0.432194041436554[/C][/ROW]
[ROW][C]34[/C][C]5.5[/C][C]5.51269607604272[/C][C]-0.37386678661241[/C][C]-0.0126960760427209[/C][C]-1.09746426305425[/C][/ROW]
[ROW][C]35[/C][C]5.6[/C][C]5.58333742762385[/C][C]0.0581108706386614[/C][C]0.0166625723761448[/C][C]1.76688394868857[/C][/ROW]
[ROW][C]36[/C][C]5.4[/C][C]5.41302376348706[/C][C]-0.163873367966327[/C][C]-0.0130237634870574[/C][C]-0.90796494281159[/C][/ROW]
[ROW][C]37[/C][C]5.2[/C][C]5.19590335095372[/C][C]-0.215615232430646[/C][C]0.00409664904628482[/C][C]-0.211663423911762[/C][/ROW]
[ROW][C]38[/C][C]5.2[/C][C]5.19428115474978[/C][C]-0.00761995430960011[/C][C]0.00571884525021697[/C][C]0.851278105927362[/C][/ROW]
[ROW][C]39[/C][C]5.2[/C][C]5.20177504133049[/C][C]0.00699657067112295[/C][C]-0.00177504133049006[/C][C]0.0599187143655675[/C][/ROW]
[ROW][C]40[/C][C]5.5[/C][C]5.49850349978326[/C][C]0.287071001223696[/C][C]0.00149650021673589[/C][C]1.14524853621215[/C][/ROW]
[ROW][C]41[/C][C]5.8[/C][C]5.79535181471361[/C][C]0.296521890400401[/C][C]0.00464818528638515[/C][C]0.0386572323901912[/C][/ROW]
[ROW][C]42[/C][C]5.8[/C][C]5.80539505310433[/C][C]0.0195907458893417[/C][C]-0.00539505310432997[/C][C]-1.13270845750806[/C][/ROW]
[ROW][C]43[/C][C]5.5[/C][C]5.5105019898551[/C][C]-0.284411449862545[/C][C]-0.0105019898550986[/C][C]-1.24343619640577[/C][/ROW]
[ROW][C]44[/C][C]5.3[/C][C]5.30200129586594[/C][C]-0.211031054021123[/C][C]-0.00200129586594092[/C][C]0.300141992402568[/C][/ROW]
[ROW][C]45[/C][C]5.1[/C][C]5.07887731723402[/C][C]-0.222720881797513[/C][C]0.0211226827659831[/C][C]-0.0478139726638196[/C][/ROW]
[ROW][C]46[/C][C]5.2[/C][C]5.221263236285[/C][C]0.130215902004513[/C][C]-0.0212632362849981[/C][C]1.44358925216182[/C][/ROW]
[ROW][C]47[/C][C]5.8[/C][C]5.77043016141382[/C][C]0.535203386883025[/C][C]0.0295698385861810[/C][C]1.65648848171649[/C][/ROW]
[ROW][C]48[/C][C]5.8[/C][C]5.82096959651487[/C][C]0.0666979291113927[/C][C]-0.0209695965148683[/C][C]-1.91629208716602[/C][/ROW]
[ROW][C]49[/C][C]5.5[/C][C]5.50899350181228[/C][C]-0.299324133513849[/C][C]-0.00899350181227969[/C][C]-1.49734206190159[/C][/ROW]
[ROW][C]50[/C][C]5[/C][C]4.991928494597[/C][C]-0.509834519413333[/C][C]0.00807150540300206[/C][C]-0.861346783766708[/C][/ROW]
[ROW][C]51[/C][C]4.9[/C][C]4.89890080864346[/C][C]-0.108373311863457[/C][C]0.00109919135654351[/C][C]1.64473864820553[/C][/ROW]
[ROW][C]52[/C][C]5.3[/C][C]5.29297322171802[/C][C]0.375565339047456[/C][C]0.007026778281981[/C][C]1.97894098427504[/C][/ROW]
[ROW][C]53[/C][C]6.1[/C][C]6.08411931110482[/C][C]0.775775708055115[/C][C]0.0158806888951814[/C][C]1.63698665582911[/C][/ROW]
[ROW][C]54[/C][C]6.5[/C][C]6.50460191986884[/C][C]0.433598337150142[/C][C]-0.00460191986883882[/C][C]-1.39958013388923[/C][/ROW]
[ROW][C]55[/C][C]6.8[/C][C]6.8167387953026[/C][C]0.316620496813262[/C][C]-0.0167387953025987[/C][C]-0.47846525350062[/C][/ROW]
[ROW][C]56[/C][C]6.6[/C][C]6.60588419853379[/C][C]-0.191380760373913[/C][C]-0.00588419853378606[/C][C]-2.07783711048498[/C][/ROW]
[ROW][C]57[/C][C]6.4[/C][C]6.38068298955593[/C][C]-0.223952571884354[/C][C]0.0193170104440707[/C][C]-0.133225890815008[/C][/ROW]
[ROW][C]58[/C][C]6.4[/C][C]6.43597540121338[/C][C]0.0449831725585313[/C][C]-0.0359754012133828[/C][C]1.10000648024379[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63799&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63799&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	6.3	6.3	0	0	0
2	6.2	6.20029716796157	-0.0997273913760922	-0.000297167961573839	-0.408489295620644
3	6.1	6.09979513470036	-0.100495243360923	0.000204865299644	-0.00315455903164451
4	6.3	6.2977542712815	0.194500442302507	0.00224572871850239	1.20650272869622
5	6.5	6.50056244598451	0.202713665487683	-0.00056244598451217	0.0335939443753683
6	6.6	6.60085242694527	0.101453906892288	-0.000852426945274272	-0.414174750832066
7	6.5	6.50139486682477	-0.0971738506217298	-0.00139486682476845	-0.812431313242722
8	6.2	6.20122037797162	-0.297867060449616	-0.00122037797162428	-0.820879468979458
9	6.2	6.19739745601969	-0.00716518778322905	0.00260254398030883	1.18903474146113
10	5.9	5.90282639286309	-0.291304249880994	-0.00282639286308901	-1.16219139953108
11	6.1	6.09577278145059	0.187442129164529	0.00422721854941176	1.95817822504077
12	6.1	6.10237558835989	0.00865832620058987	-0.00237558835988872	-0.731265165183998
13	6.1	6.0996405840477	-0.00260470068982178	0.000359415952302765	-0.0460731379892089
14	6.1	6.09809831207916	-0.0015542058861936	0.00190168792083857	0.00430205186249085
15	6.1	6.1029153458354	0.00469486711094491	-0.00291534583540403	0.0256578394536613
16	6.4	6.39424499109769	0.285270513823240	0.00575500890231338	1.14739140623323
17	6.7	6.70130836213141	0.306606247633500	-0.00130836213141272	0.087268661388703
18	6.9	6.90212650238412	0.203034133338359	-0.00212650238411872	-0.423632791071569
19	7	6.99776833237055	0.0978920113233735	0.00223166762944939	-0.430054457912472
20	7	7.00831592166869	0.0123777493686246	-0.008315921668692	-0.349772182215832
21	6.8	6.79326621756893	-0.210284393065206	0.00673378243107212	-0.910737246152639
22	6.4	6.41134286161733	-0.378326971685546	-0.0113428616173301	-0.687331190051569
23	5.9	5.89519003324078	-0.513265042694211	0.00480996675922306	-0.551926460204372
24	5.5	5.50019451632248	-0.397473728734047	-0.000194516322480695	0.473612059831032
25	5.5	5.49465719433266	-0.0137777565909232	0.00534280566734439	1.56957820207638
26	5.6	5.59373090296372	0.0967271380448915	0.0062690970362823	0.452416955990329
27	5.8	5.80674668407827	0.209852074922257	-0.00674668407826732	0.464098493181313
28	5.9	5.89852329004553	0.0951171887202256	0.00147670995447078	-0.469164425465421
29	6.1	6.09777884798091	0.196315844309289	0.00222115201908822	0.413933193440927
30	6.1	6.10433051306465	0.0119001181821761	-0.00433051306465253	-0.754300675425817
31	6	5.99991446133558	-0.101137111662663	8.55386644210451e-05	-0.462347213530348
32	6	6.00296433132393	0.000112641777257588	-0.00296433132392659	0.41413381032798
33	5.9	5.89434647535882	-0.105552577898710	0.00565352464118018	-0.432194041436554
34	5.5	5.51269607604272	-0.37386678661241	-0.0126960760427209	-1.09746426305425
35	5.6	5.58333742762385	0.0581108706386614	0.0166625723761448	1.76688394868857
36	5.4	5.41302376348706	-0.163873367966327	-0.0130237634870574	-0.90796494281159
37	5.2	5.19590335095372	-0.215615232430646	0.00409664904628482	-0.211663423911762
38	5.2	5.19428115474978	-0.00761995430960011	0.00571884525021697	0.851278105927362
39	5.2	5.20177504133049	0.00699657067112295	-0.00177504133049006	0.0599187143655675
40	5.5	5.49850349978326	0.287071001223696	0.00149650021673589	1.14524853621215
41	5.8	5.79535181471361	0.296521890400401	0.00464818528638515	0.0386572323901912
42	5.8	5.80539505310433	0.0195907458893417	-0.00539505310432997	-1.13270845750806
43	5.5	5.5105019898551	-0.284411449862545	-0.0105019898550986	-1.24343619640577
44	5.3	5.30200129586594	-0.211031054021123	-0.00200129586594092	0.300141992402568
45	5.1	5.07887731723402	-0.222720881797513	0.0211226827659831	-0.0478139726638196
46	5.2	5.221263236285	0.130215902004513	-0.0212632362849981	1.44358925216182
47	5.8	5.77043016141382	0.535203386883025	0.0295698385861810	1.65648848171649
48	5.8	5.82096959651487	0.0666979291113927	-0.0209695965148683	-1.91629208716602
49	5.5	5.50899350181228	-0.299324133513849	-0.00899350181227969	-1.49734206190159
50	5	4.991928494597	-0.509834519413333	0.00807150540300206	-0.861346783766708
51	4.9	4.89890080864346	-0.108373311863457	0.00109919135654351	1.64473864820553
52	5.3	5.29297322171802	0.375565339047456	0.007026778281981	1.97894098427504
53	6.1	6.08411931110482	0.775775708055115	0.0158806888951814	1.63698665582911
54	6.5	6.50460191986884	0.433598337150142	-0.00460191986883882	-1.39958013388923
55	6.8	6.8167387953026	0.316620496813262	-0.0167387953025987	-0.47846525350062
56	6.6	6.60588419853379	-0.191380760373913	-0.00588419853378606	-2.07783711048498
57	6.4	6.38068298955593	-0.223952571884354	0.0193170104440707	-0.133225890815008
58	6.4	6.43597540121338	0.0449831725585313	-0.0359754012133828	1.10000648024379

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 = multiplicative ; par2 = 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