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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 09:36:20 -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/t12599446265csguk8a9p9gf2d.htm/, Retrieved Sun, 28 Apr 2024 00:32:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63874, Retrieved Sun, 28 Apr 2024 00:32:38 +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)

-     [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] [WS 9 ADC3] [2009-12-04 16:36:20] [51118f1042b56b16d340924f16263174] [Current]
-   PD        [Structural Time Series Models] [ws9 forcasting3] [2009-12-04 20:39:23] [95cead3ebb75668735f848316249436a] 

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100
96.21064363
96.31280765
107.1793443
114.9066592
92.56060184
114.9995356
107.1236185
117.7765394
107.3650971
106.2970187
114.5072908
98.0031578
103.0649206
100.2879168
104.6066685
111.1544534
104.9874617
109.9284852
111.5352466
132.4974459
100.3436426
123.0983561
114.2379493
104.569518
109.0833101
106.9843039
133.6769759
124.8537197
122.5132349
116.8013374
116.0118882
129.7575926
125.1973623
143.7912139
127.9465032
130.2962757
108.4424631
129.3675118
143.6797622
131.8844618
117.6186496
118.9560695
104.8202842
134.624315
140.401226
143.8005015
153.4317823
153.2924677
127.3149438
153.5525216
136.9276493
131.7730101
144.3391845
107.4208229
113.6249652
124.2221603
102.0618557
96.36853348
111.6838488

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=63874&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=63874&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63874&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	100	100	0	0	0
2	96.21064363	97.5373664216195	-0.143860738292253	-0.681713868392448	-0.310174879296508
3	96.31280765	96.6760509472387	-0.182276624682697	-0.144890115938404	-0.104994466129451
4	107.1793443	102.125001317525	0.00431775095857434	2.95980937768869	0.941466825970646
5	114.9066592	109.326575464091	0.156170054727744	2.75277519839507	1.24356833811129
6	92.56060184	101.430566752015	0.0252577203837679	-5.66563470086604	-1.40104564217902
7	114.9995356	107.562350334838	0.114662006986720	4.9995967082029	1.06408405220087
8	107.1236185	108.007538646737	0.119328933509450	-1.0159502009055	0.0576107766798939
9	117.7765394	113.096456050171	0.188359028989258	2.69464567648684	0.866223746173037
10	107.3650971	110.673947380498	0.152550876628292	-2.26567070631723	-0.455090770842998
11	106.2970187	108.113252137745	0.115808853761867	-0.732036952416045	-0.472946361965449
12	114.5072908	111.118466637522	0.154429596875019	2.23410031605172	0.503668723013701
13	98.0031578	106.472888785763	0.414337131190102	-6.45891247343987	-0.982996154118947
14	103.0649206	104.793290573314	0.384711891470705	-1.00189560057220	-0.341894201405566
15	100.2879168	103.265417850362	0.332871414993055	-2.35600891534035	-0.303056727939821
16	104.6066685	103.158761780015	0.322987967264927	1.60098536129036	-0.0736046776521629
17	111.1544534	104.520224576655	0.339372330782016	6.25675763957954	0.179007298202614
18	104.9874617	108.518329757763	0.381587089940069	-4.88095255380001	0.636389304796465
19	109.9284852	107.483906879900	0.367956484128434	2.96942262879167	-0.246870615250935
20	111.5352466	110.592102739825	0.392634153969483	-0.07361318227802	0.477967006690232
21	132.4974459	119.837232149212	0.471586343333092	9.37517163551574	1.54419184670030
22	100.3436426	112.470961452559	0.402403526426611	-9.21849160530255	-1.36727296540452
23	123.0983561	117.509007141891	0.438267830724493	3.86752661261286	0.808537090003388
24	114.2379493	114.727062266186	0.429886069330814	0.711360168868876	-0.562282210151758
25	104.569518	112.551668836231	0.470105710817692	-6.98151023549014	-0.477190049090728
26	109.0833101	110.915173169624	0.457697890339571	-1.07565709961084	-0.359892618309900
27	106.9843039	109.983190909314	0.434290852352844	-2.52689959933962	-0.229175799060881
28	133.6769759	120.861246994074	0.614237464854623	9.1986348531375	1.75790143069973
29	124.8537197	121.645608577595	0.61659383412269	3.14749309771558	0.0292558078729798
30	122.5132349	124.569337586340	0.641096411599984	-2.89062720104175	0.40073672140986
31	116.8013374	120.873236868002	0.603558851863338	-2.49373761979692	-0.756001444435605
32	116.0118882	119.742012937850	0.590103457234771	-3.09761354982556	-0.302711668609346
33	129.7575926	118.837636137810	0.579110776684702	11.4652107637988	-0.260852507739305
34	125.1973623	126.918193294708	0.629649392723849	-4.45893862682025	1.30918637823193
35	143.7912139	133.447811965066	0.658628731854828	8.18777016889364	1.02927781592778
36	127.9465032	131.082578853865	0.656420039702151	-2.02734274814574	-0.528788945849175
37	130.2962757	133.956547300811	0.645690061002581	-4.48348273528640	0.393540209390653
38	108.4424631	123.360960113657	0.598266384917787	-10.8729771123176	-1.93772917178489
39	129.3675118	128.617960295039	0.652702167793489	-0.870336582269216	0.78432292370667
40	143.6797622	132.214235107705	0.692565429371402	10.4393604201909	0.49877130129205
41	131.8844618	131.334246791444	0.673483320587388	1.10783648963995	-0.270291521121996
42	117.6186496	125.467601075613	0.608359721831748	-5.49990446070787	-1.13463224923134
43	118.9560695	122.834285159525	0.581681911463347	-2.70625237973415	-0.564789576711221
44	104.8202842	115.881280415165	0.527876482405619	-8.32920641147409	-1.31489170196049
45	134.624315	120.405721171360	0.55330266576413	12.7678528642587	0.697746654075396
46	140.401226	133.503394351087	0.620345664161638	2.34143232472684	2.18952252820420
47	143.8005015	135.631304691255	0.625666354365005	7.62116717600659	0.263049380675878
48	153.4317823	145.509494285397	0.633616176319047	4.55045585367862	1.61736831017654
49	153.2924677	150.935197354566	0.629860458357961	0.604827815954346	0.840666907504257
50	127.3149438	147.016532344007	0.612005981142804	-18.0664934715461	-0.785919297864018
51	153.5525216	150.957897458098	0.641620206288358	1.42289157287978	0.566753374934996
52	136.9276493	139.300227795195	0.506927433297731	1.94534276917646	-2.09631850488088
53	131.7730101	132.741924800545	0.432088942104753	1.53592589784868	-1.21531374933431
54	144.3391845	139.169482868079	0.48735961171528	3.02255579781256	1.03945457243554
55	107.4208229	125.187595445665	0.374528298462071	-12.5518191970416	-2.51970021396263
56	113.6249652	123.793713769037	0.362771627241023	-9.52929085096324	-0.308552980171308
57	124.2221603	120.500314042097	0.342135327213839	5.04593022686359	-0.638265185866724
58	102.0618557	111.408680827611	0.299890062570385	-5.92800102403571	-1.64646165455361
59	96.36853348	101.872386612429	0.271006811103152	-1.93685180440652	-1.71630925625182
60	111.6838488	103.916254118627	0.273360173772435	7.12383290362036	0.309605310926179

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 100 & 100 & 0 & 0 & 0 \tabularnewline
2 & 96.21064363 & 97.5373664216195 & -0.143860738292253 & -0.681713868392448 & -0.310174879296508 \tabularnewline
3 & 96.31280765 & 96.6760509472387 & -0.182276624682697 & -0.144890115938404 & -0.104994466129451 \tabularnewline
4 & 107.1793443 & 102.125001317525 & 0.00431775095857434 & 2.95980937768869 & 0.941466825970646 \tabularnewline
5 & 114.9066592 & 109.326575464091 & 0.156170054727744 & 2.75277519839507 & 1.24356833811129 \tabularnewline
6 & 92.56060184 & 101.430566752015 & 0.0252577203837679 & -5.66563470086604 & -1.40104564217902 \tabularnewline
7 & 114.9995356 & 107.562350334838 & 0.114662006986720 & 4.9995967082029 & 1.06408405220087 \tabularnewline
8 & 107.1236185 & 108.007538646737 & 0.119328933509450 & -1.0159502009055 & 0.0576107766798939 \tabularnewline
9 & 117.7765394 & 113.096456050171 & 0.188359028989258 & 2.69464567648684 & 0.866223746173037 \tabularnewline
10 & 107.3650971 & 110.673947380498 & 0.152550876628292 & -2.26567070631723 & -0.455090770842998 \tabularnewline
11 & 106.2970187 & 108.113252137745 & 0.115808853761867 & -0.732036952416045 & -0.472946361965449 \tabularnewline
12 & 114.5072908 & 111.118466637522 & 0.154429596875019 & 2.23410031605172 & 0.503668723013701 \tabularnewline
13 & 98.0031578 & 106.472888785763 & 0.414337131190102 & -6.45891247343987 & -0.982996154118947 \tabularnewline
14 & 103.0649206 & 104.793290573314 & 0.384711891470705 & -1.00189560057220 & -0.341894201405566 \tabularnewline
15 & 100.2879168 & 103.265417850362 & 0.332871414993055 & -2.35600891534035 & -0.303056727939821 \tabularnewline
16 & 104.6066685 & 103.158761780015 & 0.322987967264927 & 1.60098536129036 & -0.0736046776521629 \tabularnewline
17 & 111.1544534 & 104.520224576655 & 0.339372330782016 & 6.25675763957954 & 0.179007298202614 \tabularnewline
18 & 104.9874617 & 108.518329757763 & 0.381587089940069 & -4.88095255380001 & 0.636389304796465 \tabularnewline
19 & 109.9284852 & 107.483906879900 & 0.367956484128434 & 2.96942262879167 & -0.246870615250935 \tabularnewline
20 & 111.5352466 & 110.592102739825 & 0.392634153969483 & -0.07361318227802 & 0.477967006690232 \tabularnewline
21 & 132.4974459 & 119.837232149212 & 0.471586343333092 & 9.37517163551574 & 1.54419184670030 \tabularnewline
22 & 100.3436426 & 112.470961452559 & 0.402403526426611 & -9.21849160530255 & -1.36727296540452 \tabularnewline
23 & 123.0983561 & 117.509007141891 & 0.438267830724493 & 3.86752661261286 & 0.808537090003388 \tabularnewline
24 & 114.2379493 & 114.727062266186 & 0.429886069330814 & 0.711360168868876 & -0.562282210151758 \tabularnewline
25 & 104.569518 & 112.551668836231 & 0.470105710817692 & -6.98151023549014 & -0.477190049090728 \tabularnewline
26 & 109.0833101 & 110.915173169624 & 0.457697890339571 & -1.07565709961084 & -0.359892618309900 \tabularnewline
27 & 106.9843039 & 109.983190909314 & 0.434290852352844 & -2.52689959933962 & -0.229175799060881 \tabularnewline
28 & 133.6769759 & 120.861246994074 & 0.614237464854623 & 9.1986348531375 & 1.75790143069973 \tabularnewline
29 & 124.8537197 & 121.645608577595 & 0.61659383412269 & 3.14749309771558 & 0.0292558078729798 \tabularnewline
30 & 122.5132349 & 124.569337586340 & 0.641096411599984 & -2.89062720104175 & 0.40073672140986 \tabularnewline
31 & 116.8013374 & 120.873236868002 & 0.603558851863338 & -2.49373761979692 & -0.756001444435605 \tabularnewline
32 & 116.0118882 & 119.742012937850 & 0.590103457234771 & -3.09761354982556 & -0.302711668609346 \tabularnewline
33 & 129.7575926 & 118.837636137810 & 0.579110776684702 & 11.4652107637988 & -0.260852507739305 \tabularnewline
34 & 125.1973623 & 126.918193294708 & 0.629649392723849 & -4.45893862682025 & 1.30918637823193 \tabularnewline
35 & 143.7912139 & 133.447811965066 & 0.658628731854828 & 8.18777016889364 & 1.02927781592778 \tabularnewline
36 & 127.9465032 & 131.082578853865 & 0.656420039702151 & -2.02734274814574 & -0.528788945849175 \tabularnewline
37 & 130.2962757 & 133.956547300811 & 0.645690061002581 & -4.48348273528640 & 0.393540209390653 \tabularnewline
38 & 108.4424631 & 123.360960113657 & 0.598266384917787 & -10.8729771123176 & -1.93772917178489 \tabularnewline
39 & 129.3675118 & 128.617960295039 & 0.652702167793489 & -0.870336582269216 & 0.78432292370667 \tabularnewline
40 & 143.6797622 & 132.214235107705 & 0.692565429371402 & 10.4393604201909 & 0.49877130129205 \tabularnewline
41 & 131.8844618 & 131.334246791444 & 0.673483320587388 & 1.10783648963995 & -0.270291521121996 \tabularnewline
42 & 117.6186496 & 125.467601075613 & 0.608359721831748 & -5.49990446070787 & -1.13463224923134 \tabularnewline
43 & 118.9560695 & 122.834285159525 & 0.581681911463347 & -2.70625237973415 & -0.564789576711221 \tabularnewline
44 & 104.8202842 & 115.881280415165 & 0.527876482405619 & -8.32920641147409 & -1.31489170196049 \tabularnewline
45 & 134.624315 & 120.405721171360 & 0.55330266576413 & 12.7678528642587 & 0.697746654075396 \tabularnewline
46 & 140.401226 & 133.503394351087 & 0.620345664161638 & 2.34143232472684 & 2.18952252820420 \tabularnewline
47 & 143.8005015 & 135.631304691255 & 0.625666354365005 & 7.62116717600659 & 0.263049380675878 \tabularnewline
48 & 153.4317823 & 145.509494285397 & 0.633616176319047 & 4.55045585367862 & 1.61736831017654 \tabularnewline
49 & 153.2924677 & 150.935197354566 & 0.629860458357961 & 0.604827815954346 & 0.840666907504257 \tabularnewline
50 & 127.3149438 & 147.016532344007 & 0.612005981142804 & -18.0664934715461 & -0.785919297864018 \tabularnewline
51 & 153.5525216 & 150.957897458098 & 0.641620206288358 & 1.42289157287978 & 0.566753374934996 \tabularnewline
52 & 136.9276493 & 139.300227795195 & 0.506927433297731 & 1.94534276917646 & -2.09631850488088 \tabularnewline
53 & 131.7730101 & 132.741924800545 & 0.432088942104753 & 1.53592589784868 & -1.21531374933431 \tabularnewline
54 & 144.3391845 & 139.169482868079 & 0.48735961171528 & 3.02255579781256 & 1.03945457243554 \tabularnewline
55 & 107.4208229 & 125.187595445665 & 0.374528298462071 & -12.5518191970416 & -2.51970021396263 \tabularnewline
56 & 113.6249652 & 123.793713769037 & 0.362771627241023 & -9.52929085096324 & -0.308552980171308 \tabularnewline
57 & 124.2221603 & 120.500314042097 & 0.342135327213839 & 5.04593022686359 & -0.638265185866724 \tabularnewline
58 & 102.0618557 & 111.408680827611 & 0.299890062570385 & -5.92800102403571 & -1.64646165455361 \tabularnewline
59 & 96.36853348 & 101.872386612429 & 0.271006811103152 & -1.93685180440652 & -1.71630925625182 \tabularnewline
60 & 111.6838488 & 103.916254118627 & 0.273360173772435 & 7.12383290362036 & 0.309605310926179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63874&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]100[/C][C]100[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]96.21064363[/C][C]97.5373664216195[/C][C]-0.143860738292253[/C][C]-0.681713868392448[/C][C]-0.310174879296508[/C][/ROW]
[ROW][C]3[/C][C]96.31280765[/C][C]96.6760509472387[/C][C]-0.182276624682697[/C][C]-0.144890115938404[/C][C]-0.104994466129451[/C][/ROW]
[ROW][C]4[/C][C]107.1793443[/C][C]102.125001317525[/C][C]0.00431775095857434[/C][C]2.95980937768869[/C][C]0.941466825970646[/C][/ROW]
[ROW][C]5[/C][C]114.9066592[/C][C]109.326575464091[/C][C]0.156170054727744[/C][C]2.75277519839507[/C][C]1.24356833811129[/C][/ROW]
[ROW][C]6[/C][C]92.56060184[/C][C]101.430566752015[/C][C]0.0252577203837679[/C][C]-5.66563470086604[/C][C]-1.40104564217902[/C][/ROW]
[ROW][C]7[/C][C]114.9995356[/C][C]107.562350334838[/C][C]0.114662006986720[/C][C]4.9995967082029[/C][C]1.06408405220087[/C][/ROW]
[ROW][C]8[/C][C]107.1236185[/C][C]108.007538646737[/C][C]0.119328933509450[/C][C]-1.0159502009055[/C][C]0.0576107766798939[/C][/ROW]
[ROW][C]9[/C][C]117.7765394[/C][C]113.096456050171[/C][C]0.188359028989258[/C][C]2.69464567648684[/C][C]0.866223746173037[/C][/ROW]
[ROW][C]10[/C][C]107.3650971[/C][C]110.673947380498[/C][C]0.152550876628292[/C][C]-2.26567070631723[/C][C]-0.455090770842998[/C][/ROW]
[ROW][C]11[/C][C]106.2970187[/C][C]108.113252137745[/C][C]0.115808853761867[/C][C]-0.732036952416045[/C][C]-0.472946361965449[/C][/ROW]
[ROW][C]12[/C][C]114.5072908[/C][C]111.118466637522[/C][C]0.154429596875019[/C][C]2.23410031605172[/C][C]0.503668723013701[/C][/ROW]
[ROW][C]13[/C][C]98.0031578[/C][C]106.472888785763[/C][C]0.414337131190102[/C][C]-6.45891247343987[/C][C]-0.982996154118947[/C][/ROW]
[ROW][C]14[/C][C]103.0649206[/C][C]104.793290573314[/C][C]0.384711891470705[/C][C]-1.00189560057220[/C][C]-0.341894201405566[/C][/ROW]
[ROW][C]15[/C][C]100.2879168[/C][C]103.265417850362[/C][C]0.332871414993055[/C][C]-2.35600891534035[/C][C]-0.303056727939821[/C][/ROW]
[ROW][C]16[/C][C]104.6066685[/C][C]103.158761780015[/C][C]0.322987967264927[/C][C]1.60098536129036[/C][C]-0.0736046776521629[/C][/ROW]
[ROW][C]17[/C][C]111.1544534[/C][C]104.520224576655[/C][C]0.339372330782016[/C][C]6.25675763957954[/C][C]0.179007298202614[/C][/ROW]
[ROW][C]18[/C][C]104.9874617[/C][C]108.518329757763[/C][C]0.381587089940069[/C][C]-4.88095255380001[/C][C]0.636389304796465[/C][/ROW]
[ROW][C]19[/C][C]109.9284852[/C][C]107.483906879900[/C][C]0.367956484128434[/C][C]2.96942262879167[/C][C]-0.246870615250935[/C][/ROW]
[ROW][C]20[/C][C]111.5352466[/C][C]110.592102739825[/C][C]0.392634153969483[/C][C]-0.07361318227802[/C][C]0.477967006690232[/C][/ROW]
[ROW][C]21[/C][C]132.4974459[/C][C]119.837232149212[/C][C]0.471586343333092[/C][C]9.37517163551574[/C][C]1.54419184670030[/C][/ROW]
[ROW][C]22[/C][C]100.3436426[/C][C]112.470961452559[/C][C]0.402403526426611[/C][C]-9.21849160530255[/C][C]-1.36727296540452[/C][/ROW]
[ROW][C]23[/C][C]123.0983561[/C][C]117.509007141891[/C][C]0.438267830724493[/C][C]3.86752661261286[/C][C]0.808537090003388[/C][/ROW]
[ROW][C]24[/C][C]114.2379493[/C][C]114.727062266186[/C][C]0.429886069330814[/C][C]0.711360168868876[/C][C]-0.562282210151758[/C][/ROW]
[ROW][C]25[/C][C]104.569518[/C][C]112.551668836231[/C][C]0.470105710817692[/C][C]-6.98151023549014[/C][C]-0.477190049090728[/C][/ROW]
[ROW][C]26[/C][C]109.0833101[/C][C]110.915173169624[/C][C]0.457697890339571[/C][C]-1.07565709961084[/C][C]-0.359892618309900[/C][/ROW]
[ROW][C]27[/C][C]106.9843039[/C][C]109.983190909314[/C][C]0.434290852352844[/C][C]-2.52689959933962[/C][C]-0.229175799060881[/C][/ROW]
[ROW][C]28[/C][C]133.6769759[/C][C]120.861246994074[/C][C]0.614237464854623[/C][C]9.1986348531375[/C][C]1.75790143069973[/C][/ROW]
[ROW][C]29[/C][C]124.8537197[/C][C]121.645608577595[/C][C]0.61659383412269[/C][C]3.14749309771558[/C][C]0.0292558078729798[/C][/ROW]
[ROW][C]30[/C][C]122.5132349[/C][C]124.569337586340[/C][C]0.641096411599984[/C][C]-2.89062720104175[/C][C]0.40073672140986[/C][/ROW]
[ROW][C]31[/C][C]116.8013374[/C][C]120.873236868002[/C][C]0.603558851863338[/C][C]-2.49373761979692[/C][C]-0.756001444435605[/C][/ROW]
[ROW][C]32[/C][C]116.0118882[/C][C]119.742012937850[/C][C]0.590103457234771[/C][C]-3.09761354982556[/C][C]-0.302711668609346[/C][/ROW]
[ROW][C]33[/C][C]129.7575926[/C][C]118.837636137810[/C][C]0.579110776684702[/C][C]11.4652107637988[/C][C]-0.260852507739305[/C][/ROW]
[ROW][C]34[/C][C]125.1973623[/C][C]126.918193294708[/C][C]0.629649392723849[/C][C]-4.45893862682025[/C][C]1.30918637823193[/C][/ROW]
[ROW][C]35[/C][C]143.7912139[/C][C]133.447811965066[/C][C]0.658628731854828[/C][C]8.18777016889364[/C][C]1.02927781592778[/C][/ROW]
[ROW][C]36[/C][C]127.9465032[/C][C]131.082578853865[/C][C]0.656420039702151[/C][C]-2.02734274814574[/C][C]-0.528788945849175[/C][/ROW]
[ROW][C]37[/C][C]130.2962757[/C][C]133.956547300811[/C][C]0.645690061002581[/C][C]-4.48348273528640[/C][C]0.393540209390653[/C][/ROW]
[ROW][C]38[/C][C]108.4424631[/C][C]123.360960113657[/C][C]0.598266384917787[/C][C]-10.8729771123176[/C][C]-1.93772917178489[/C][/ROW]
[ROW][C]39[/C][C]129.3675118[/C][C]128.617960295039[/C][C]0.652702167793489[/C][C]-0.870336582269216[/C][C]0.78432292370667[/C][/ROW]
[ROW][C]40[/C][C]143.6797622[/C][C]132.214235107705[/C][C]0.692565429371402[/C][C]10.4393604201909[/C][C]0.49877130129205[/C][/ROW]
[ROW][C]41[/C][C]131.8844618[/C][C]131.334246791444[/C][C]0.673483320587388[/C][C]1.10783648963995[/C][C]-0.270291521121996[/C][/ROW]
[ROW][C]42[/C][C]117.6186496[/C][C]125.467601075613[/C][C]0.608359721831748[/C][C]-5.49990446070787[/C][C]-1.13463224923134[/C][/ROW]
[ROW][C]43[/C][C]118.9560695[/C][C]122.834285159525[/C][C]0.581681911463347[/C][C]-2.70625237973415[/C][C]-0.564789576711221[/C][/ROW]
[ROW][C]44[/C][C]104.8202842[/C][C]115.881280415165[/C][C]0.527876482405619[/C][C]-8.32920641147409[/C][C]-1.31489170196049[/C][/ROW]
[ROW][C]45[/C][C]134.624315[/C][C]120.405721171360[/C][C]0.55330266576413[/C][C]12.7678528642587[/C][C]0.697746654075396[/C][/ROW]
[ROW][C]46[/C][C]140.401226[/C][C]133.503394351087[/C][C]0.620345664161638[/C][C]2.34143232472684[/C][C]2.18952252820420[/C][/ROW]
[ROW][C]47[/C][C]143.8005015[/C][C]135.631304691255[/C][C]0.625666354365005[/C][C]7.62116717600659[/C][C]0.263049380675878[/C][/ROW]
[ROW][C]48[/C][C]153.4317823[/C][C]145.509494285397[/C][C]0.633616176319047[/C][C]4.55045585367862[/C][C]1.61736831017654[/C][/ROW]
[ROW][C]49[/C][C]153.2924677[/C][C]150.935197354566[/C][C]0.629860458357961[/C][C]0.604827815954346[/C][C]0.840666907504257[/C][/ROW]
[ROW][C]50[/C][C]127.3149438[/C][C]147.016532344007[/C][C]0.612005981142804[/C][C]-18.0664934715461[/C][C]-0.785919297864018[/C][/ROW]
[ROW][C]51[/C][C]153.5525216[/C][C]150.957897458098[/C][C]0.641620206288358[/C][C]1.42289157287978[/C][C]0.566753374934996[/C][/ROW]
[ROW][C]52[/C][C]136.9276493[/C][C]139.300227795195[/C][C]0.506927433297731[/C][C]1.94534276917646[/C][C]-2.09631850488088[/C][/ROW]
[ROW][C]53[/C][C]131.7730101[/C][C]132.741924800545[/C][C]0.432088942104753[/C][C]1.53592589784868[/C][C]-1.21531374933431[/C][/ROW]
[ROW][C]54[/C][C]144.3391845[/C][C]139.169482868079[/C][C]0.48735961171528[/C][C]3.02255579781256[/C][C]1.03945457243554[/C][/ROW]
[ROW][C]55[/C][C]107.4208229[/C][C]125.187595445665[/C][C]0.374528298462071[/C][C]-12.5518191970416[/C][C]-2.51970021396263[/C][/ROW]
[ROW][C]56[/C][C]113.6249652[/C][C]123.793713769037[/C][C]0.362771627241023[/C][C]-9.52929085096324[/C][C]-0.308552980171308[/C][/ROW]
[ROW][C]57[/C][C]124.2221603[/C][C]120.500314042097[/C][C]0.342135327213839[/C][C]5.04593022686359[/C][C]-0.638265185866724[/C][/ROW]
[ROW][C]58[/C][C]102.0618557[/C][C]111.408680827611[/C][C]0.299890062570385[/C][C]-5.92800102403571[/C][C]-1.64646165455361[/C][/ROW]
[ROW][C]59[/C][C]96.36853348[/C][C]101.872386612429[/C][C]0.271006811103152[/C][C]-1.93685180440652[/C][C]-1.71630925625182[/C][/ROW]
[ROW][C]60[/C][C]111.6838488[/C][C]103.916254118627[/C][C]0.273360173772435[/C][C]7.12383290362036[/C][C]0.309605310926179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63874&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63874&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	100	100	0	0	0
2	96.21064363	97.5373664216195	-0.143860738292253	-0.681713868392448	-0.310174879296508
3	96.31280765	96.6760509472387	-0.182276624682697	-0.144890115938404	-0.104994466129451
4	107.1793443	102.125001317525	0.00431775095857434	2.95980937768869	0.941466825970646
5	114.9066592	109.326575464091	0.156170054727744	2.75277519839507	1.24356833811129
6	92.56060184	101.430566752015	0.0252577203837679	-5.66563470086604	-1.40104564217902
7	114.9995356	107.562350334838	0.114662006986720	4.9995967082029	1.06408405220087
8	107.1236185	108.007538646737	0.119328933509450	-1.0159502009055	0.0576107766798939
9	117.7765394	113.096456050171	0.188359028989258	2.69464567648684	0.866223746173037
10	107.3650971	110.673947380498	0.152550876628292	-2.26567070631723	-0.455090770842998
11	106.2970187	108.113252137745	0.115808853761867	-0.732036952416045	-0.472946361965449
12	114.5072908	111.118466637522	0.154429596875019	2.23410031605172	0.503668723013701
13	98.0031578	106.472888785763	0.414337131190102	-6.45891247343987	-0.982996154118947
14	103.0649206	104.793290573314	0.384711891470705	-1.00189560057220	-0.341894201405566
15	100.2879168	103.265417850362	0.332871414993055	-2.35600891534035	-0.303056727939821
16	104.6066685	103.158761780015	0.322987967264927	1.60098536129036	-0.0736046776521629
17	111.1544534	104.520224576655	0.339372330782016	6.25675763957954	0.179007298202614
18	104.9874617	108.518329757763	0.381587089940069	-4.88095255380001	0.636389304796465
19	109.9284852	107.483906879900	0.367956484128434	2.96942262879167	-0.246870615250935
20	111.5352466	110.592102739825	0.392634153969483	-0.07361318227802	0.477967006690232
21	132.4974459	119.837232149212	0.471586343333092	9.37517163551574	1.54419184670030
22	100.3436426	112.470961452559	0.402403526426611	-9.21849160530255	-1.36727296540452
23	123.0983561	117.509007141891	0.438267830724493	3.86752661261286	0.808537090003388
24	114.2379493	114.727062266186	0.429886069330814	0.711360168868876	-0.562282210151758
25	104.569518	112.551668836231	0.470105710817692	-6.98151023549014	-0.477190049090728
26	109.0833101	110.915173169624	0.457697890339571	-1.07565709961084	-0.359892618309900
27	106.9843039	109.983190909314	0.434290852352844	-2.52689959933962	-0.229175799060881
28	133.6769759	120.861246994074	0.614237464854623	9.1986348531375	1.75790143069973
29	124.8537197	121.645608577595	0.61659383412269	3.14749309771558	0.0292558078729798
30	122.5132349	124.569337586340	0.641096411599984	-2.89062720104175	0.40073672140986
31	116.8013374	120.873236868002	0.603558851863338	-2.49373761979692	-0.756001444435605
32	116.0118882	119.742012937850	0.590103457234771	-3.09761354982556	-0.302711668609346
33	129.7575926	118.837636137810	0.579110776684702	11.4652107637988	-0.260852507739305
34	125.1973623	126.918193294708	0.629649392723849	-4.45893862682025	1.30918637823193
35	143.7912139	133.447811965066	0.658628731854828	8.18777016889364	1.02927781592778
36	127.9465032	131.082578853865	0.656420039702151	-2.02734274814574	-0.528788945849175
37	130.2962757	133.956547300811	0.645690061002581	-4.48348273528640	0.393540209390653
38	108.4424631	123.360960113657	0.598266384917787	-10.8729771123176	-1.93772917178489
39	129.3675118	128.617960295039	0.652702167793489	-0.870336582269216	0.78432292370667
40	143.6797622	132.214235107705	0.692565429371402	10.4393604201909	0.49877130129205
41	131.8844618	131.334246791444	0.673483320587388	1.10783648963995	-0.270291521121996
42	117.6186496	125.467601075613	0.608359721831748	-5.49990446070787	-1.13463224923134
43	118.9560695	122.834285159525	0.581681911463347	-2.70625237973415	-0.564789576711221
44	104.8202842	115.881280415165	0.527876482405619	-8.32920641147409	-1.31489170196049
45	134.624315	120.405721171360	0.55330266576413	12.7678528642587	0.697746654075396
46	140.401226	133.503394351087	0.620345664161638	2.34143232472684	2.18952252820420
47	143.8005015	135.631304691255	0.625666354365005	7.62116717600659	0.263049380675878
48	153.4317823	145.509494285397	0.633616176319047	4.55045585367862	1.61736831017654
49	153.2924677	150.935197354566	0.629860458357961	0.604827815954346	0.840666907504257
50	127.3149438	147.016532344007	0.612005981142804	-18.0664934715461	-0.785919297864018
51	153.5525216	150.957897458098	0.641620206288358	1.42289157287978	0.566753374934996
52	136.9276493	139.300227795195	0.506927433297731	1.94534276917646	-2.09631850488088
53	131.7730101	132.741924800545	0.432088942104753	1.53592589784868	-1.21531374933431
54	144.3391845	139.169482868079	0.48735961171528	3.02255579781256	1.03945457243554
55	107.4208229	125.187595445665	0.374528298462071	-12.5518191970416	-2.51970021396263
56	113.6249652	123.793713769037	0.362771627241023	-9.52929085096324	-0.308552980171308
57	124.2221603	120.500314042097	0.342135327213839	5.04593022686359	-0.638265185866724
58	102.0618557	111.408680827611	0.299890062570385	-5.92800102403571	-1.64646165455361
59	96.36853348	101.872386612429	0.271006811103152	-1.93685180440652	-1.71630925625182
60	111.6838488	103.916254118627	0.273360173772435	7.12383290362036	0.309605310926179

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 = TRUE ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;

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