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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSun, 19 Dec 2010 21:11:32 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/19/t1292792979nx3xtbp7j56x3oy.htm/, Retrieved Sun, 05 May 2024 07:56:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112749, Retrieved Sun, 05 May 2024 07:56:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [paper - structura...] [2010-12-19 21:11:32] [5398da98f4f83c6a353e4d3806d4bcaa] [Current]
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Dataseries X:
631923
654294
671833
586840
600969
625568
558110
630577
628654
603184
656255
600730
670326
678423
641502
625311
628177
589767
582471
636248
599885
621694
637406
595994
696308
674201
648861
649605
672392
598396
613177
638104
615632
634465
638686
604243
706669
677185
644328
644825
605707
600136
612166
599659
634210
618234
613576
627200
668973
651479
619661
644260
579936
601752
595376
588902
634341
594305
606200
610926
633685
639696
659451
593248
606677
599434
569578
629873
613438
604172
658328
612633
707372
739770
777535
685030
730234
714154
630872
719492
677023
679272
718317
645672




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112749&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112749&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112749&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1631923631923000
2654294640883.06209129758.236910428133813410.93790870280.870101942620719
3671833659978.1098001451361.1634801545211854.89019985491.21250700863849
4586840634514.944964641-500.422008212281-47674.9449646414-2.06794140946806
5600969615912.806174712-1507.09675081473-14943.8061747120-1.61590972933664
6625568614032.110328952-1522.8938397732311535.8896710478-0.0350286263330579
7558110593140.118042973-2196.54109594810-35030.1180429727-1.83345160349387
8630577600218.095509561-1896.4082322507630358.90449043860.876904923948176
9628654612833.326872307-1419.6541792035215820.6731276931.36704279366699
10603184613302.812440088-1354.47643963656-10118.81244008810.17724256864487
11656255629335.124976381-722.95566866118726919.8750236191.62531662340823
12600730623976.689489094-898.763630233703-23246.6894890941-0.432013364168491
13670326639766.057131666-676.8393055059130559.94286833441.61502314486249
14678423652569.587276565-383.26497325543425853.41272343521.30365350864099
15641502638828.94453781-910.9770300902242673.0554621898-1.18800328403872
16625311642600.004479112-678.008841708379-17289.00447911180.400545870968206
17628177641561.528828103-696.890328298752-13384.5288281033-0.031438274222113
18589767614784.422819683-2021.64719606864-25017.4228196831-2.34086191678930
19582471611504.661769796-2082.10455276308-29033.6617697958-0.114695932407457
20636248611732.1246212-1976.2795632113924515.87537880020.211486581305645
21599885603219.619405101-2266.65430323451-3334.61940510131-0.59813091010527
22621694614623.48779648-1672.298894496667070.512203519461.24786334093369
23637406616987.836751044-1500.9547684269620418.16324895570.367482251401571
24595994622886.86410331-1196.36363002908-26892.86410330970.673558445304402
25696308641217.827556756-409.15144032676755090.17244324441.78546658756512
26674201645593.018798181-208.10665932835528607.98120181930.436190753169657
27648861646673.46291519-149.5151542376072187.537084809350.115487101598923
28649605651115.38717206373.6356992150639-1510.387172062880.405359894879599
29672392658705.612795099451.84187379784913686.38720490130.663448207717381
30598396647540.416134674-136.376908711277-49144.4161346743-1.03514024494336
31613177642845.965516264-364.573718091083-29668.9655162635-0.409772769477338
32638104631122.810722943-922.6937939678016981.18927705703-1.02491277267480
33615632627398.254799479-1057.70393999742-11766.2547994786-0.252663517048866
34634465628705.934932766-945.6886397013685759.065067233560.212830168187981
35638686629064.586186385-884.7548830404229621.413813615050.117200892547003
36604243634757.635713912-579.721107644485-30514.63571391190.591475406587797
37706669643652.432019186-139.27814961930563016.5679808140.853208501470973
38677185648679.291097883104.23928076797928505.70890211690.464575850538986
39644328648892.72865147109.494283464402-4564.728651469910.00976606787537028
40644825647998.75148412160.2461510778955-3173.75148412108-0.0892435527487273
41605707623470.038716112-1162.24306819031-17763.0387161125-2.18418612630771
42600136623722.307009521-1091.58436184098-23586.30700952070.126046992046446
43612166627326.217790693-857.529488392752-15160.21779069300.420115755286465
44599659615204.862783674-1415.38514912309-15545.8627836745-1.00981635293772
45634210623942.648201374-916.6430031003310267.35179862610.909835632680837
46618234623444.698711904-896.236432828956-5210.698711903650.0374660322799234
47613576618805.939516748-1077.58634313920-5229.93951674795-0.33465379495846
48627200634100.435369126-286.263036729866-6900.435369126221.46480556962559
49668973628443.897159596-546.17530197930340529.1028404044-0.480894980906667
50651479623354.973172588-767.08740983159928124.0268274116-0.40663516065264
51619661618999.796259778-942.731535817732661.203740222094-0.320527918171830
52644260622417.093826395-727.93421379234221842.90617360540.388602015865585
53579936614513.71939009-1083.03905441044-34577.7193900896-0.639061663788828
54601752616261.939298102-942.642134663424-14509.93929810170.252440870918791
55595376612928.064436625-1061.17298057994-17552.0644366253-0.213580132561553
56588902611090.277900632-1099.58663658828-22188.2779006318-0.0694320211974531
57634341615330.576849084-836.26034930976819010.42315091560.477291551879027
58594305611087.765390418-1003.73516018141-16782.7653904183-0.304250945416232
59606200612625.154828568-879.09570662298-6425.154828568350.226867224660252
60610926612657.090778234-834.457077326572-1731.090778233570.0813595344391838
61633685603860.030821139-1224.7656505000129824.9691788613-0.711457012875998
62639696603325.816925762-1190.8620632613736370.1830742380.0616988781373
63659451623230.911064274-152.82190297913136220.08893572611.88341178023161
64593248607873.731136836-902.584965229595-14625.7311368359-1.35611478462462
65606677615999.027148109-456.691372031727-9322.027148109150.804901898249653
66599434616764.572552914-396.278248457424-17330.57255291430.109015191011130
67569578606281.191305703-894.83769554158-36703.1913057029-0.900368895268242
68629873620833.575068544-131.8872858943749039.424931456311.37941871954421
69613438614338.930607315-445.812222951469-900.930607314856-0.568126196628523
70604172615175.838488607-382.596999868743-11003.83848860720.114489417799578
71658328632863.960163857507.17444887478925464.03983614351.61255848633700
72612633629803.512044694331.587252923908-17170.5120446942-0.318402246551426
73707372648341.6369542041227.7388723344559030.36304579611.62532545834494
74739770676908.8592501452574.1411493833162861.14074985482.44076317665922
75777535705621.2264277233862.3622888741271913.7735722772.33284513117330
76685030713590.9709738544064.94628645068-28560.9709738540.366433897033389
77730234725782.2341812054465.975925292144451.76581879460.724831097502048
78714154731550.6756252434530.26998841336-17396.67562524260.116190612821167
79630872714411.4638244073460.59167283762-83539.4638244069-1.93370364379114
80719492709482.8145254343046.5649726374210009.185474566-0.748775965965379
81677023700884.0047635482472.0539927036-23861.0047635481-1.03935548644910
82679272701342.730766352372.76924759284-22070.7307663498-0.179657977998248
83718317702770.2978779562326.1734308641915546.7021220443-0.0843348829274145
84645672698664.0877846442009.13167833348-52992.0877846438-0.573953825960433

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 631923 & 631923 & 0 & 0 & 0 \tabularnewline
2 & 654294 & 640883.062091297 & 58.2369104281338 & 13410.9379087028 & 0.870101942620719 \tabularnewline
3 & 671833 & 659978.109800145 & 1361.16348015452 & 11854.8901998549 & 1.21250700863849 \tabularnewline
4 & 586840 & 634514.944964641 & -500.422008212281 & -47674.9449646414 & -2.06794140946806 \tabularnewline
5 & 600969 & 615912.806174712 & -1507.09675081473 & -14943.8061747120 & -1.61590972933664 \tabularnewline
6 & 625568 & 614032.110328952 & -1522.89383977323 & 11535.8896710478 & -0.0350286263330579 \tabularnewline
7 & 558110 & 593140.118042973 & -2196.54109594810 & -35030.1180429727 & -1.83345160349387 \tabularnewline
8 & 630577 & 600218.095509561 & -1896.40823225076 & 30358.9044904386 & 0.876904923948176 \tabularnewline
9 & 628654 & 612833.326872307 & -1419.65417920352 & 15820.673127693 & 1.36704279366699 \tabularnewline
10 & 603184 & 613302.812440088 & -1354.47643963656 & -10118.8124400881 & 0.17724256864487 \tabularnewline
11 & 656255 & 629335.124976381 & -722.955668661187 & 26919.875023619 & 1.62531662340823 \tabularnewline
12 & 600730 & 623976.689489094 & -898.763630233703 & -23246.6894890941 & -0.432013364168491 \tabularnewline
13 & 670326 & 639766.057131666 & -676.83930550591 & 30559.9428683344 & 1.61502314486249 \tabularnewline
14 & 678423 & 652569.587276565 & -383.264973255434 & 25853.4127234352 & 1.30365350864099 \tabularnewline
15 & 641502 & 638828.94453781 & -910.977030090224 & 2673.0554621898 & -1.18800328403872 \tabularnewline
16 & 625311 & 642600.004479112 & -678.008841708379 & -17289.0044791118 & 0.400545870968206 \tabularnewline
17 & 628177 & 641561.528828103 & -696.890328298752 & -13384.5288281033 & -0.031438274222113 \tabularnewline
18 & 589767 & 614784.422819683 & -2021.64719606864 & -25017.4228196831 & -2.34086191678930 \tabularnewline
19 & 582471 & 611504.661769796 & -2082.10455276308 & -29033.6617697958 & -0.114695932407457 \tabularnewline
20 & 636248 & 611732.1246212 & -1976.27956321139 & 24515.8753788002 & 0.211486581305645 \tabularnewline
21 & 599885 & 603219.619405101 & -2266.65430323451 & -3334.61940510131 & -0.59813091010527 \tabularnewline
22 & 621694 & 614623.48779648 & -1672.29889449666 & 7070.51220351946 & 1.24786334093369 \tabularnewline
23 & 637406 & 616987.836751044 & -1500.95476842696 & 20418.1632489557 & 0.367482251401571 \tabularnewline
24 & 595994 & 622886.86410331 & -1196.36363002908 & -26892.8641033097 & 0.673558445304402 \tabularnewline
25 & 696308 & 641217.827556756 & -409.151440326767 & 55090.1724432444 & 1.78546658756512 \tabularnewline
26 & 674201 & 645593.018798181 & -208.106659328355 & 28607.9812018193 & 0.436190753169657 \tabularnewline
27 & 648861 & 646673.46291519 & -149.515154237607 & 2187.53708480935 & 0.115487101598923 \tabularnewline
28 & 649605 & 651115.387172063 & 73.6356992150639 & -1510.38717206288 & 0.405359894879599 \tabularnewline
29 & 672392 & 658705.612795099 & 451.841873797849 & 13686.3872049013 & 0.663448207717381 \tabularnewline
30 & 598396 & 647540.416134674 & -136.376908711277 & -49144.4161346743 & -1.03514024494336 \tabularnewline
31 & 613177 & 642845.965516264 & -364.573718091083 & -29668.9655162635 & -0.409772769477338 \tabularnewline
32 & 638104 & 631122.810722943 & -922.693793967801 & 6981.18927705703 & -1.02491277267480 \tabularnewline
33 & 615632 & 627398.254799479 & -1057.70393999742 & -11766.2547994786 & -0.252663517048866 \tabularnewline
34 & 634465 & 628705.934932766 & -945.688639701368 & 5759.06506723356 & 0.212830168187981 \tabularnewline
35 & 638686 & 629064.586186385 & -884.754883040422 & 9621.41381361505 & 0.117200892547003 \tabularnewline
36 & 604243 & 634757.635713912 & -579.721107644485 & -30514.6357139119 & 0.591475406587797 \tabularnewline
37 & 706669 & 643652.432019186 & -139.278149619305 & 63016.567980814 & 0.853208501470973 \tabularnewline
38 & 677185 & 648679.291097883 & 104.239280767979 & 28505.7089021169 & 0.464575850538986 \tabularnewline
39 & 644328 & 648892.72865147 & 109.494283464402 & -4564.72865146991 & 0.00976606787537028 \tabularnewline
40 & 644825 & 647998.751484121 & 60.2461510778955 & -3173.75148412108 & -0.0892435527487273 \tabularnewline
41 & 605707 & 623470.038716112 & -1162.24306819031 & -17763.0387161125 & -2.18418612630771 \tabularnewline
42 & 600136 & 623722.307009521 & -1091.58436184098 & -23586.3070095207 & 0.126046992046446 \tabularnewline
43 & 612166 & 627326.217790693 & -857.529488392752 & -15160.2177906930 & 0.420115755286465 \tabularnewline
44 & 599659 & 615204.862783674 & -1415.38514912309 & -15545.8627836745 & -1.00981635293772 \tabularnewline
45 & 634210 & 623942.648201374 & -916.64300310033 & 10267.3517986261 & 0.909835632680837 \tabularnewline
46 & 618234 & 623444.698711904 & -896.236432828956 & -5210.69871190365 & 0.0374660322799234 \tabularnewline
47 & 613576 & 618805.939516748 & -1077.58634313920 & -5229.93951674795 & -0.33465379495846 \tabularnewline
48 & 627200 & 634100.435369126 & -286.263036729866 & -6900.43536912622 & 1.46480556962559 \tabularnewline
49 & 668973 & 628443.897159596 & -546.175301979303 & 40529.1028404044 & -0.480894980906667 \tabularnewline
50 & 651479 & 623354.973172588 & -767.087409831599 & 28124.0268274116 & -0.40663516065264 \tabularnewline
51 & 619661 & 618999.796259778 & -942.731535817732 & 661.203740222094 & -0.320527918171830 \tabularnewline
52 & 644260 & 622417.093826395 & -727.934213792342 & 21842.9061736054 & 0.388602015865585 \tabularnewline
53 & 579936 & 614513.71939009 & -1083.03905441044 & -34577.7193900896 & -0.639061663788828 \tabularnewline
54 & 601752 & 616261.939298102 & -942.642134663424 & -14509.9392981017 & 0.252440870918791 \tabularnewline
55 & 595376 & 612928.064436625 & -1061.17298057994 & -17552.0644366253 & -0.213580132561553 \tabularnewline
56 & 588902 & 611090.277900632 & -1099.58663658828 & -22188.2779006318 & -0.0694320211974531 \tabularnewline
57 & 634341 & 615330.576849084 & -836.260349309768 & 19010.4231509156 & 0.477291551879027 \tabularnewline
58 & 594305 & 611087.765390418 & -1003.73516018141 & -16782.7653904183 & -0.304250945416232 \tabularnewline
59 & 606200 & 612625.154828568 & -879.09570662298 & -6425.15482856835 & 0.226867224660252 \tabularnewline
60 & 610926 & 612657.090778234 & -834.457077326572 & -1731.09077823357 & 0.0813595344391838 \tabularnewline
61 & 633685 & 603860.030821139 & -1224.76565050001 & 29824.9691788613 & -0.711457012875998 \tabularnewline
62 & 639696 & 603325.816925762 & -1190.86206326137 & 36370.183074238 & 0.0616988781373 \tabularnewline
63 & 659451 & 623230.911064274 & -152.821902979131 & 36220.0889357261 & 1.88341178023161 \tabularnewline
64 & 593248 & 607873.731136836 & -902.584965229595 & -14625.7311368359 & -1.35611478462462 \tabularnewline
65 & 606677 & 615999.027148109 & -456.691372031727 & -9322.02714810915 & 0.804901898249653 \tabularnewline
66 & 599434 & 616764.572552914 & -396.278248457424 & -17330.5725529143 & 0.109015191011130 \tabularnewline
67 & 569578 & 606281.191305703 & -894.83769554158 & -36703.1913057029 & -0.900368895268242 \tabularnewline
68 & 629873 & 620833.575068544 & -131.887285894374 & 9039.42493145631 & 1.37941871954421 \tabularnewline
69 & 613438 & 614338.930607315 & -445.812222951469 & -900.930607314856 & -0.568126196628523 \tabularnewline
70 & 604172 & 615175.838488607 & -382.596999868743 & -11003.8384886072 & 0.114489417799578 \tabularnewline
71 & 658328 & 632863.960163857 & 507.174448874789 & 25464.0398361435 & 1.61255848633700 \tabularnewline
72 & 612633 & 629803.512044694 & 331.587252923908 & -17170.5120446942 & -0.318402246551426 \tabularnewline
73 & 707372 & 648341.636954204 & 1227.73887233445 & 59030.3630457961 & 1.62532545834494 \tabularnewline
74 & 739770 & 676908.859250145 & 2574.14114938331 & 62861.1407498548 & 2.44076317665922 \tabularnewline
75 & 777535 & 705621.226427723 & 3862.36228887412 & 71913.773572277 & 2.33284513117330 \tabularnewline
76 & 685030 & 713590.970973854 & 4064.94628645068 & -28560.970973854 & 0.366433897033389 \tabularnewline
77 & 730234 & 725782.234181205 & 4465.97592529214 & 4451.7658187946 & 0.724831097502048 \tabularnewline
78 & 714154 & 731550.675625243 & 4530.26998841336 & -17396.6756252426 & 0.116190612821167 \tabularnewline
79 & 630872 & 714411.463824407 & 3460.59167283762 & -83539.4638244069 & -1.93370364379114 \tabularnewline
80 & 719492 & 709482.814525434 & 3046.56497263742 & 10009.185474566 & -0.748775965965379 \tabularnewline
81 & 677023 & 700884.004763548 & 2472.0539927036 & -23861.0047635481 & -1.03935548644910 \tabularnewline
82 & 679272 & 701342.73076635 & 2372.76924759284 & -22070.7307663498 & -0.179657977998248 \tabularnewline
83 & 718317 & 702770.297877956 & 2326.17343086419 & 15546.7021220443 & -0.0843348829274145 \tabularnewline
84 & 645672 & 698664.087784644 & 2009.13167833348 & -52992.0877846438 & -0.573953825960433 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112749&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]631923[/C][C]631923[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]654294[/C][C]640883.062091297[/C][C]58.2369104281338[/C][C]13410.9379087028[/C][C]0.870101942620719[/C][/ROW]
[ROW][C]3[/C][C]671833[/C][C]659978.109800145[/C][C]1361.16348015452[/C][C]11854.8901998549[/C][C]1.21250700863849[/C][/ROW]
[ROW][C]4[/C][C]586840[/C][C]634514.944964641[/C][C]-500.422008212281[/C][C]-47674.9449646414[/C][C]-2.06794140946806[/C][/ROW]
[ROW][C]5[/C][C]600969[/C][C]615912.806174712[/C][C]-1507.09675081473[/C][C]-14943.8061747120[/C][C]-1.61590972933664[/C][/ROW]
[ROW][C]6[/C][C]625568[/C][C]614032.110328952[/C][C]-1522.89383977323[/C][C]11535.8896710478[/C][C]-0.0350286263330579[/C][/ROW]
[ROW][C]7[/C][C]558110[/C][C]593140.118042973[/C][C]-2196.54109594810[/C][C]-35030.1180429727[/C][C]-1.83345160349387[/C][/ROW]
[ROW][C]8[/C][C]630577[/C][C]600218.095509561[/C][C]-1896.40823225076[/C][C]30358.9044904386[/C][C]0.876904923948176[/C][/ROW]
[ROW][C]9[/C][C]628654[/C][C]612833.326872307[/C][C]-1419.65417920352[/C][C]15820.673127693[/C][C]1.36704279366699[/C][/ROW]
[ROW][C]10[/C][C]603184[/C][C]613302.812440088[/C][C]-1354.47643963656[/C][C]-10118.8124400881[/C][C]0.17724256864487[/C][/ROW]
[ROW][C]11[/C][C]656255[/C][C]629335.124976381[/C][C]-722.955668661187[/C][C]26919.875023619[/C][C]1.62531662340823[/C][/ROW]
[ROW][C]12[/C][C]600730[/C][C]623976.689489094[/C][C]-898.763630233703[/C][C]-23246.6894890941[/C][C]-0.432013364168491[/C][/ROW]
[ROW][C]13[/C][C]670326[/C][C]639766.057131666[/C][C]-676.83930550591[/C][C]30559.9428683344[/C][C]1.61502314486249[/C][/ROW]
[ROW][C]14[/C][C]678423[/C][C]652569.587276565[/C][C]-383.264973255434[/C][C]25853.4127234352[/C][C]1.30365350864099[/C][/ROW]
[ROW][C]15[/C][C]641502[/C][C]638828.94453781[/C][C]-910.977030090224[/C][C]2673.0554621898[/C][C]-1.18800328403872[/C][/ROW]
[ROW][C]16[/C][C]625311[/C][C]642600.004479112[/C][C]-678.008841708379[/C][C]-17289.0044791118[/C][C]0.400545870968206[/C][/ROW]
[ROW][C]17[/C][C]628177[/C][C]641561.528828103[/C][C]-696.890328298752[/C][C]-13384.5288281033[/C][C]-0.031438274222113[/C][/ROW]
[ROW][C]18[/C][C]589767[/C][C]614784.422819683[/C][C]-2021.64719606864[/C][C]-25017.4228196831[/C][C]-2.34086191678930[/C][/ROW]
[ROW][C]19[/C][C]582471[/C][C]611504.661769796[/C][C]-2082.10455276308[/C][C]-29033.6617697958[/C][C]-0.114695932407457[/C][/ROW]
[ROW][C]20[/C][C]636248[/C][C]611732.1246212[/C][C]-1976.27956321139[/C][C]24515.8753788002[/C][C]0.211486581305645[/C][/ROW]
[ROW][C]21[/C][C]599885[/C][C]603219.619405101[/C][C]-2266.65430323451[/C][C]-3334.61940510131[/C][C]-0.59813091010527[/C][/ROW]
[ROW][C]22[/C][C]621694[/C][C]614623.48779648[/C][C]-1672.29889449666[/C][C]7070.51220351946[/C][C]1.24786334093369[/C][/ROW]
[ROW][C]23[/C][C]637406[/C][C]616987.836751044[/C][C]-1500.95476842696[/C][C]20418.1632489557[/C][C]0.367482251401571[/C][/ROW]
[ROW][C]24[/C][C]595994[/C][C]622886.86410331[/C][C]-1196.36363002908[/C][C]-26892.8641033097[/C][C]0.673558445304402[/C][/ROW]
[ROW][C]25[/C][C]696308[/C][C]641217.827556756[/C][C]-409.151440326767[/C][C]55090.1724432444[/C][C]1.78546658756512[/C][/ROW]
[ROW][C]26[/C][C]674201[/C][C]645593.018798181[/C][C]-208.106659328355[/C][C]28607.9812018193[/C][C]0.436190753169657[/C][/ROW]
[ROW][C]27[/C][C]648861[/C][C]646673.46291519[/C][C]-149.515154237607[/C][C]2187.53708480935[/C][C]0.115487101598923[/C][/ROW]
[ROW][C]28[/C][C]649605[/C][C]651115.387172063[/C][C]73.6356992150639[/C][C]-1510.38717206288[/C][C]0.405359894879599[/C][/ROW]
[ROW][C]29[/C][C]672392[/C][C]658705.612795099[/C][C]451.841873797849[/C][C]13686.3872049013[/C][C]0.663448207717381[/C][/ROW]
[ROW][C]30[/C][C]598396[/C][C]647540.416134674[/C][C]-136.376908711277[/C][C]-49144.4161346743[/C][C]-1.03514024494336[/C][/ROW]
[ROW][C]31[/C][C]613177[/C][C]642845.965516264[/C][C]-364.573718091083[/C][C]-29668.9655162635[/C][C]-0.409772769477338[/C][/ROW]
[ROW][C]32[/C][C]638104[/C][C]631122.810722943[/C][C]-922.693793967801[/C][C]6981.18927705703[/C][C]-1.02491277267480[/C][/ROW]
[ROW][C]33[/C][C]615632[/C][C]627398.254799479[/C][C]-1057.70393999742[/C][C]-11766.2547994786[/C][C]-0.252663517048866[/C][/ROW]
[ROW][C]34[/C][C]634465[/C][C]628705.934932766[/C][C]-945.688639701368[/C][C]5759.06506723356[/C][C]0.212830168187981[/C][/ROW]
[ROW][C]35[/C][C]638686[/C][C]629064.586186385[/C][C]-884.754883040422[/C][C]9621.41381361505[/C][C]0.117200892547003[/C][/ROW]
[ROW][C]36[/C][C]604243[/C][C]634757.635713912[/C][C]-579.721107644485[/C][C]-30514.6357139119[/C][C]0.591475406587797[/C][/ROW]
[ROW][C]37[/C][C]706669[/C][C]643652.432019186[/C][C]-139.278149619305[/C][C]63016.567980814[/C][C]0.853208501470973[/C][/ROW]
[ROW][C]38[/C][C]677185[/C][C]648679.291097883[/C][C]104.239280767979[/C][C]28505.7089021169[/C][C]0.464575850538986[/C][/ROW]
[ROW][C]39[/C][C]644328[/C][C]648892.72865147[/C][C]109.494283464402[/C][C]-4564.72865146991[/C][C]0.00976606787537028[/C][/ROW]
[ROW][C]40[/C][C]644825[/C][C]647998.751484121[/C][C]60.2461510778955[/C][C]-3173.75148412108[/C][C]-0.0892435527487273[/C][/ROW]
[ROW][C]41[/C][C]605707[/C][C]623470.038716112[/C][C]-1162.24306819031[/C][C]-17763.0387161125[/C][C]-2.18418612630771[/C][/ROW]
[ROW][C]42[/C][C]600136[/C][C]623722.307009521[/C][C]-1091.58436184098[/C][C]-23586.3070095207[/C][C]0.126046992046446[/C][/ROW]
[ROW][C]43[/C][C]612166[/C][C]627326.217790693[/C][C]-857.529488392752[/C][C]-15160.2177906930[/C][C]0.420115755286465[/C][/ROW]
[ROW][C]44[/C][C]599659[/C][C]615204.862783674[/C][C]-1415.38514912309[/C][C]-15545.8627836745[/C][C]-1.00981635293772[/C][/ROW]
[ROW][C]45[/C][C]634210[/C][C]623942.648201374[/C][C]-916.64300310033[/C][C]10267.3517986261[/C][C]0.909835632680837[/C][/ROW]
[ROW][C]46[/C][C]618234[/C][C]623444.698711904[/C][C]-896.236432828956[/C][C]-5210.69871190365[/C][C]0.0374660322799234[/C][/ROW]
[ROW][C]47[/C][C]613576[/C][C]618805.939516748[/C][C]-1077.58634313920[/C][C]-5229.93951674795[/C][C]-0.33465379495846[/C][/ROW]
[ROW][C]48[/C][C]627200[/C][C]634100.435369126[/C][C]-286.263036729866[/C][C]-6900.43536912622[/C][C]1.46480556962559[/C][/ROW]
[ROW][C]49[/C][C]668973[/C][C]628443.897159596[/C][C]-546.175301979303[/C][C]40529.1028404044[/C][C]-0.480894980906667[/C][/ROW]
[ROW][C]50[/C][C]651479[/C][C]623354.973172588[/C][C]-767.087409831599[/C][C]28124.0268274116[/C][C]-0.40663516065264[/C][/ROW]
[ROW][C]51[/C][C]619661[/C][C]618999.796259778[/C][C]-942.731535817732[/C][C]661.203740222094[/C][C]-0.320527918171830[/C][/ROW]
[ROW][C]52[/C][C]644260[/C][C]622417.093826395[/C][C]-727.934213792342[/C][C]21842.9061736054[/C][C]0.388602015865585[/C][/ROW]
[ROW][C]53[/C][C]579936[/C][C]614513.71939009[/C][C]-1083.03905441044[/C][C]-34577.7193900896[/C][C]-0.639061663788828[/C][/ROW]
[ROW][C]54[/C][C]601752[/C][C]616261.939298102[/C][C]-942.642134663424[/C][C]-14509.9392981017[/C][C]0.252440870918791[/C][/ROW]
[ROW][C]55[/C][C]595376[/C][C]612928.064436625[/C][C]-1061.17298057994[/C][C]-17552.0644366253[/C][C]-0.213580132561553[/C][/ROW]
[ROW][C]56[/C][C]588902[/C][C]611090.277900632[/C][C]-1099.58663658828[/C][C]-22188.2779006318[/C][C]-0.0694320211974531[/C][/ROW]
[ROW][C]57[/C][C]634341[/C][C]615330.576849084[/C][C]-836.260349309768[/C][C]19010.4231509156[/C][C]0.477291551879027[/C][/ROW]
[ROW][C]58[/C][C]594305[/C][C]611087.765390418[/C][C]-1003.73516018141[/C][C]-16782.7653904183[/C][C]-0.304250945416232[/C][/ROW]
[ROW][C]59[/C][C]606200[/C][C]612625.154828568[/C][C]-879.09570662298[/C][C]-6425.15482856835[/C][C]0.226867224660252[/C][/ROW]
[ROW][C]60[/C][C]610926[/C][C]612657.090778234[/C][C]-834.457077326572[/C][C]-1731.09077823357[/C][C]0.0813595344391838[/C][/ROW]
[ROW][C]61[/C][C]633685[/C][C]603860.030821139[/C][C]-1224.76565050001[/C][C]29824.9691788613[/C][C]-0.711457012875998[/C][/ROW]
[ROW][C]62[/C][C]639696[/C][C]603325.816925762[/C][C]-1190.86206326137[/C][C]36370.183074238[/C][C]0.0616988781373[/C][/ROW]
[ROW][C]63[/C][C]659451[/C][C]623230.911064274[/C][C]-152.821902979131[/C][C]36220.0889357261[/C][C]1.88341178023161[/C][/ROW]
[ROW][C]64[/C][C]593248[/C][C]607873.731136836[/C][C]-902.584965229595[/C][C]-14625.7311368359[/C][C]-1.35611478462462[/C][/ROW]
[ROW][C]65[/C][C]606677[/C][C]615999.027148109[/C][C]-456.691372031727[/C][C]-9322.02714810915[/C][C]0.804901898249653[/C][/ROW]
[ROW][C]66[/C][C]599434[/C][C]616764.572552914[/C][C]-396.278248457424[/C][C]-17330.5725529143[/C][C]0.109015191011130[/C][/ROW]
[ROW][C]67[/C][C]569578[/C][C]606281.191305703[/C][C]-894.83769554158[/C][C]-36703.1913057029[/C][C]-0.900368895268242[/C][/ROW]
[ROW][C]68[/C][C]629873[/C][C]620833.575068544[/C][C]-131.887285894374[/C][C]9039.42493145631[/C][C]1.37941871954421[/C][/ROW]
[ROW][C]69[/C][C]613438[/C][C]614338.930607315[/C][C]-445.812222951469[/C][C]-900.930607314856[/C][C]-0.568126196628523[/C][/ROW]
[ROW][C]70[/C][C]604172[/C][C]615175.838488607[/C][C]-382.596999868743[/C][C]-11003.8384886072[/C][C]0.114489417799578[/C][/ROW]
[ROW][C]71[/C][C]658328[/C][C]632863.960163857[/C][C]507.174448874789[/C][C]25464.0398361435[/C][C]1.61255848633700[/C][/ROW]
[ROW][C]72[/C][C]612633[/C][C]629803.512044694[/C][C]331.587252923908[/C][C]-17170.5120446942[/C][C]-0.318402246551426[/C][/ROW]
[ROW][C]73[/C][C]707372[/C][C]648341.636954204[/C][C]1227.73887233445[/C][C]59030.3630457961[/C][C]1.62532545834494[/C][/ROW]
[ROW][C]74[/C][C]739770[/C][C]676908.859250145[/C][C]2574.14114938331[/C][C]62861.1407498548[/C][C]2.44076317665922[/C][/ROW]
[ROW][C]75[/C][C]777535[/C][C]705621.226427723[/C][C]3862.36228887412[/C][C]71913.773572277[/C][C]2.33284513117330[/C][/ROW]
[ROW][C]76[/C][C]685030[/C][C]713590.970973854[/C][C]4064.94628645068[/C][C]-28560.970973854[/C][C]0.366433897033389[/C][/ROW]
[ROW][C]77[/C][C]730234[/C][C]725782.234181205[/C][C]4465.97592529214[/C][C]4451.7658187946[/C][C]0.724831097502048[/C][/ROW]
[ROW][C]78[/C][C]714154[/C][C]731550.675625243[/C][C]4530.26998841336[/C][C]-17396.6756252426[/C][C]0.116190612821167[/C][/ROW]
[ROW][C]79[/C][C]630872[/C][C]714411.463824407[/C][C]3460.59167283762[/C][C]-83539.4638244069[/C][C]-1.93370364379114[/C][/ROW]
[ROW][C]80[/C][C]719492[/C][C]709482.814525434[/C][C]3046.56497263742[/C][C]10009.185474566[/C][C]-0.748775965965379[/C][/ROW]
[ROW][C]81[/C][C]677023[/C][C]700884.004763548[/C][C]2472.0539927036[/C][C]-23861.0047635481[/C][C]-1.03935548644910[/C][/ROW]
[ROW][C]82[/C][C]679272[/C][C]701342.73076635[/C][C]2372.76924759284[/C][C]-22070.7307663498[/C][C]-0.179657977998248[/C][/ROW]
[ROW][C]83[/C][C]718317[/C][C]702770.297877956[/C][C]2326.17343086419[/C][C]15546.7021220443[/C][C]-0.0843348829274145[/C][/ROW]
[ROW][C]84[/C][C]645672[/C][C]698664.087784644[/C][C]2009.13167833348[/C][C]-52992.0877846438[/C][C]-0.573953825960433[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112749&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112749&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
tObservedLevelSlopeSeasonalStand. Residuals
1631923631923000
2654294640883.06209129758.236910428133813410.93790870280.870101942620719
3671833659978.1098001451361.1634801545211854.89019985491.21250700863849
4586840634514.944964641-500.422008212281-47674.9449646414-2.06794140946806
5600969615912.806174712-1507.09675081473-14943.8061747120-1.61590972933664
6625568614032.110328952-1522.8938397732311535.8896710478-0.0350286263330579
7558110593140.118042973-2196.54109594810-35030.1180429727-1.83345160349387
8630577600218.095509561-1896.4082322507630358.90449043860.876904923948176
9628654612833.326872307-1419.6541792035215820.6731276931.36704279366699
10603184613302.812440088-1354.47643963656-10118.81244008810.17724256864487
11656255629335.124976381-722.95566866118726919.8750236191.62531662340823
12600730623976.689489094-898.763630233703-23246.6894890941-0.432013364168491
13670326639766.057131666-676.8393055059130559.94286833441.61502314486249
14678423652569.587276565-383.26497325543425853.41272343521.30365350864099
15641502638828.94453781-910.9770300902242673.0554621898-1.18800328403872
16625311642600.004479112-678.008841708379-17289.00447911180.400545870968206
17628177641561.528828103-696.890328298752-13384.5288281033-0.031438274222113
18589767614784.422819683-2021.64719606864-25017.4228196831-2.34086191678930
19582471611504.661769796-2082.10455276308-29033.6617697958-0.114695932407457
20636248611732.1246212-1976.2795632113924515.87537880020.211486581305645
21599885603219.619405101-2266.65430323451-3334.61940510131-0.59813091010527
22621694614623.48779648-1672.298894496667070.512203519461.24786334093369
23637406616987.836751044-1500.9547684269620418.16324895570.367482251401571
24595994622886.86410331-1196.36363002908-26892.86410330970.673558445304402
25696308641217.827556756-409.15144032676755090.17244324441.78546658756512
26674201645593.018798181-208.10665932835528607.98120181930.436190753169657
27648861646673.46291519-149.5151542376072187.537084809350.115487101598923
28649605651115.38717206373.6356992150639-1510.387172062880.405359894879599
29672392658705.612795099451.84187379784913686.38720490130.663448207717381
30598396647540.416134674-136.376908711277-49144.4161346743-1.03514024494336
31613177642845.965516264-364.573718091083-29668.9655162635-0.409772769477338
32638104631122.810722943-922.6937939678016981.18927705703-1.02491277267480
33615632627398.254799479-1057.70393999742-11766.2547994786-0.252663517048866
34634465628705.934932766-945.6886397013685759.065067233560.212830168187981
35638686629064.586186385-884.7548830404229621.413813615050.117200892547003
36604243634757.635713912-579.721107644485-30514.63571391190.591475406587797
37706669643652.432019186-139.27814961930563016.5679808140.853208501470973
38677185648679.291097883104.23928076797928505.70890211690.464575850538986
39644328648892.72865147109.494283464402-4564.728651469910.00976606787537028
40644825647998.75148412160.2461510778955-3173.75148412108-0.0892435527487273
41605707623470.038716112-1162.24306819031-17763.0387161125-2.18418612630771
42600136623722.307009521-1091.58436184098-23586.30700952070.126046992046446
43612166627326.217790693-857.529488392752-15160.21779069300.420115755286465
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82679272701342.730766352372.76924759284-22070.7307663498-0.179657977998248
83718317702770.2978779562326.1734308641915546.7021220443-0.0843348829274145
84645672698664.0877846442009.13167833348-52992.0877846438-0.573953825960433



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')