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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 computationFri, 04 Dec 2009 08:18:11 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259940088jhqp294d4g2vn1l.htm/, Retrieved Sun, 28 Apr 2024 16:35:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63746, Retrieved Sun, 28 Apr 2024 16:35:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90
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] [] [2009-12-04 15:18:11] [54e293c1fb7c46e2abc5c1dda68d8adb] [Current]
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Dataseries X:
274412
272433
268361
268586
264768
269974
304744
309365
308347
298427
289231
291975
294912
293488
290555
284736
281818
287854
316263
325412
326011
328282
317480
317539
313737
312276
309391
302950
300316
304035
333476
337698
335932
323931
313927
314485
313218
309664
302963
298989
298423
301631
329765
335083
327616
309119
295916
291413
291542
284678
276475
272566
264981
263290
296806
303598
286994
276427
266424
267153
268381
262522
255542
253158
243803
250741
280445
285257
270976
261076
255603
260376
263903
264291
263276
262572
256167
264221
293860




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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=63746&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=63746&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63746&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1274412274412000
2272433272915.331243222-1536.53084384839-482.331243222391-0.338623654549409
3268361268799.122134470-3330.92334833379-438.122134470516-0.366553965051034
4268586267702.224607973-1681.87956001712883.7753920274050.327333273611194
5264768265200.843148832-2274.29443580010-432.843148832322-0.113348645025418
6269974268402.8950450341663.724063989671571.104954965740.760817481143181
7304744297595.16817027521522.71820839707148.831829724533.83338305917547
8309365313331.83441131917346.1506062469-3966.83441131916-0.80577986934487
9308347312843.3040414164473.9524022405-4496.30404141599-2.48363393347098
10298427301377.69301121-7028.25884105017-2950.69301120984-2.21925759154732
11289231289315.814875962-10660.3341628797-84.8148759619235-0.700776746326481
12291975288777.280434597-3356.683942549993197.719565403261.40917605416842
13294912293435.9874095442412.343088252411476.012590455971.11643885302276
14293488294349.8081374791329.74388416496-861.808137479141-0.212154989716284
15290555291817.282139443-1360.26157505993-1262.28213944288-0.516326195110005
16284736283538.793642386-6168.466646262591197.20635761359-0.94228338928797
17281818281539.16125601-3253.0152011637278.8387439900420.562316101522241
18287854291768.189042686101.27162921385-3914.189042680281.80073141511293
19316263307372.74527280212693.26564340278890.254727198151.27283035286210
20325412324635.16231639515867.7251346493776.8376836048830.612594340477746
21326011329293.4536993498077.09122190138-3282.45369934933-1.50303440573641
22328282330488.1680140753293.99277009526-2206.16801407532-0.92291927674726
23317480323033.844223356-4173.15771833449-5553.84422335603-1.44073534577277
24317539316907.866059615-5528.44574163976631.133940384718-0.261574900572907
25313737311841.338563644-5207.83677798061895.6614363560.0620445930500974
26312276310242.176924113-2699.961318231182033.823075887030.48457626913015
27309391307433.771479096-2774.548197423771957.22852090356-0.0143576268861385
28302950302579.582375682-4200.99390913032370.417624318211-0.276731279725493
29300316302623.141363542-1275.18837928434-2307.141363542060.565653289124374
30304035309533.6262295614350.95791795764-5498.626229561491.08344699943344
31333476324302.06444766511496.38921113629173.935552334811.37844749665445
32337698335079.82592218211002.98184919482618.17407781818-0.0952285138832852
33335932339343.3675799336372.3738702567-3411.36757993327-0.893408862725439
34323931327750.312711212-5971.75098031309-3819.3127112124-2.38177187122071
35313927318827.285108482-7998.57151110695-4900.28510848161-0.391063486422027
36314485313287.526171904-6311.02019177991197.473828095860.325809075495368
37313218311163.057735359-3435.594928785182054.942264640920.555785712657227
38309664307129.721157627-3846.002143634222534.27884237343-0.0791743990660157
39302963300096.480708253-6023.430391656722866.5192917471-0.419638235748755
40298989297944.395443389-3382.540925871791044.604556611270.510806462926683
41298423301737.4216430171526.54342605722-3314.421643016500.948859165191138
42301631309852.9178138616031.32613545839-8221.917813861060.86831949760896
43329765320537.6865762929207.065238999889227.31342370770.612377861916892
44335083330546.9846880849754.659156165354536.015311916410.105666367668587
45327616328591.3910991181755.99730782869-975.39109911816-1.54332240936234
46309119315616.708271650-8306.8081279278-6497.70827165035-1.94153739068852
47295916302611.768810427-11515.0378159255-6695.76881042693-0.619061199676495
48291413291415.209160826-11297.5891894284-2.209160826062560.0419824445006785
49291542286805.098485379-6728.786457480184736.901514620530.882345691589225
50284678280371.265399233-6527.418057212854306.734600766870.0388369324957708
51276475273925.579591636-6471.782305162472549.420408363920.0107275180853488
52272566272134.750884506-3288.09072248932431.2491154937530.615117379832908
53264981270572.314117175-2112.31218835307-5591.314117175150.227162822934790
54263290273017.474821697993.23971692474-9727.474821696880.598958672270499
55296806285819.1631015559029.5910243193710986.83689844541.54959489239122
56303598295852.3866458599712.435037252657745.613354141470.131737935167007
57286994288017.905979002-2230.76950886559-1023.90597900196-2.30443859788108
58276427281589.037515802-5088.57497282072-5162.0375158016-0.551414775741474
59266424274020.912884393-6776.25253728809-7596.91288439303-0.325687245836188
60267153268704.926201171-5782.21809663462-1551.926201171430.191897923184899
61268381263247.580490331-5560.983869693695133.419509669130.0427053105037236
62262522257671.846846112-5571.020863964024850.15315388839-0.00193572589164921
63255542253324.760672138-4739.75657158732217.239327862160.160319977754258
64253158251823.021642463-2541.71591360131334.978357537460.42447042335363
65243803251048.122718691-1340.92573154174-7245.12271869070.231922251871647
66250741262013.2231622097025.47664613629-11272.22316220941.61409515775317
67280445270261.6528272587856.2138711989610183.34717274170.160200631772948
68285257273298.7694069404584.2789612355211958.2305930596-0.631159446778872
69270976272059.522662531629.96068160073-1083.52266253091-0.762968725238057
70261076266969.333068304-3254.64318426131-5893.3330683036-0.749588609510796
71255603263581.089840154-3345.37531792361-7978.08984015428-0.0175108783568468
72260376261541.563047107-2458.31745417709-1165.563047106580.171228690293025
73263903258529.380506851-2834.637055128405373.61949314855-0.0726227965228684
74264291258408.663443331-991.9838517395625882.336556668820.355379863651439
75263276260583.5931081521155.296336831212692.406891848020.414183124611897
76262572261992.5522860781327.23020441511579.4477139223410.0331942251311679
77256167266871.4730092073736.65873814838-10704.47300920720.465263807487358
78264221275268.6200191426899.5263959274-11047.62001914210.610293302613554
79293860282526.9915802117142.9189576903711333.00841978930.0469412918028616

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 274412 & 274412 & 0 & 0 & 0 \tabularnewline
2 & 272433 & 272915.331243222 & -1536.53084384839 & -482.331243222391 & -0.338623654549409 \tabularnewline
3 & 268361 & 268799.122134470 & -3330.92334833379 & -438.122134470516 & -0.366553965051034 \tabularnewline
4 & 268586 & 267702.224607973 & -1681.87956001712 & 883.775392027405 & 0.327333273611194 \tabularnewline
5 & 264768 & 265200.843148832 & -2274.29443580010 & -432.843148832322 & -0.113348645025418 \tabularnewline
6 & 269974 & 268402.895045034 & 1663.72406398967 & 1571.10495496574 & 0.760817481143181 \tabularnewline
7 & 304744 & 297595.168170275 & 21522.7182083970 & 7148.83182972453 & 3.83338305917547 \tabularnewline
8 & 309365 & 313331.834411319 & 17346.1506062469 & -3966.83441131916 & -0.80577986934487 \tabularnewline
9 & 308347 & 312843.304041416 & 4473.9524022405 & -4496.30404141599 & -2.48363393347098 \tabularnewline
10 & 298427 & 301377.69301121 & -7028.25884105017 & -2950.69301120984 & -2.21925759154732 \tabularnewline
11 & 289231 & 289315.814875962 & -10660.3341628797 & -84.8148759619235 & -0.700776746326481 \tabularnewline
12 & 291975 & 288777.280434597 & -3356.68394254999 & 3197.71956540326 & 1.40917605416842 \tabularnewline
13 & 294912 & 293435.987409544 & 2412.34308825241 & 1476.01259045597 & 1.11643885302276 \tabularnewline
14 & 293488 & 294349.808137479 & 1329.74388416496 & -861.808137479141 & -0.212154989716284 \tabularnewline
15 & 290555 & 291817.282139443 & -1360.26157505993 & -1262.28213944288 & -0.516326195110005 \tabularnewline
16 & 284736 & 283538.793642386 & -6168.46664626259 & 1197.20635761359 & -0.94228338928797 \tabularnewline
17 & 281818 & 281539.16125601 & -3253.0152011637 & 278.838743990042 & 0.562316101522241 \tabularnewline
18 & 287854 & 291768.18904268 & 6101.27162921385 & -3914.18904268028 & 1.80073141511293 \tabularnewline
19 & 316263 & 307372.745272802 & 12693.2656434027 & 8890.25472719815 & 1.27283035286210 \tabularnewline
20 & 325412 & 324635.162316395 & 15867.7251346493 & 776.837683604883 & 0.612594340477746 \tabularnewline
21 & 326011 & 329293.453699349 & 8077.09122190138 & -3282.45369934933 & -1.50303440573641 \tabularnewline
22 & 328282 & 330488.168014075 & 3293.99277009526 & -2206.16801407532 & -0.92291927674726 \tabularnewline
23 & 317480 & 323033.844223356 & -4173.15771833449 & -5553.84422335603 & -1.44073534577277 \tabularnewline
24 & 317539 & 316907.866059615 & -5528.44574163976 & 631.133940384718 & -0.261574900572907 \tabularnewline
25 & 313737 & 311841.338563644 & -5207.8367779806 & 1895.661436356 & 0.0620445930500974 \tabularnewline
26 & 312276 & 310242.176924113 & -2699.96131823118 & 2033.82307588703 & 0.48457626913015 \tabularnewline
27 & 309391 & 307433.771479096 & -2774.54819742377 & 1957.22852090356 & -0.0143576268861385 \tabularnewline
28 & 302950 & 302579.582375682 & -4200.99390913032 & 370.417624318211 & -0.276731279725493 \tabularnewline
29 & 300316 & 302623.141363542 & -1275.18837928434 & -2307.14136354206 & 0.565653289124374 \tabularnewline
30 & 304035 & 309533.626229561 & 4350.95791795764 & -5498.62622956149 & 1.08344699943344 \tabularnewline
31 & 333476 & 324302.064447665 & 11496.3892111362 & 9173.93555233481 & 1.37844749665445 \tabularnewline
32 & 337698 & 335079.825922182 & 11002.9818491948 & 2618.17407781818 & -0.0952285138832852 \tabularnewline
33 & 335932 & 339343.367579933 & 6372.3738702567 & -3411.36757993327 & -0.893408862725439 \tabularnewline
34 & 323931 & 327750.312711212 & -5971.75098031309 & -3819.3127112124 & -2.38177187122071 \tabularnewline
35 & 313927 & 318827.285108482 & -7998.57151110695 & -4900.28510848161 & -0.391063486422027 \tabularnewline
36 & 314485 & 313287.526171904 & -6311.0201917799 & 1197.47382809586 & 0.325809075495368 \tabularnewline
37 & 313218 & 311163.057735359 & -3435.59492878518 & 2054.94226464092 & 0.555785712657227 \tabularnewline
38 & 309664 & 307129.721157627 & -3846.00214363422 & 2534.27884237343 & -0.0791743990660157 \tabularnewline
39 & 302963 & 300096.480708253 & -6023.43039165672 & 2866.5192917471 & -0.419638235748755 \tabularnewline
40 & 298989 & 297944.395443389 & -3382.54092587179 & 1044.60455661127 & 0.510806462926683 \tabularnewline
41 & 298423 & 301737.421643017 & 1526.54342605722 & -3314.42164301650 & 0.948859165191138 \tabularnewline
42 & 301631 & 309852.917813861 & 6031.32613545839 & -8221.91781386106 & 0.86831949760896 \tabularnewline
43 & 329765 & 320537.686576292 & 9207.06523899988 & 9227.3134237077 & 0.612377861916892 \tabularnewline
44 & 335083 & 330546.984688084 & 9754.65915616535 & 4536.01531191641 & 0.105666367668587 \tabularnewline
45 & 327616 & 328591.391099118 & 1755.99730782869 & -975.39109911816 & -1.54332240936234 \tabularnewline
46 & 309119 & 315616.708271650 & -8306.8081279278 & -6497.70827165035 & -1.94153739068852 \tabularnewline
47 & 295916 & 302611.768810427 & -11515.0378159255 & -6695.76881042693 & -0.619061199676495 \tabularnewline
48 & 291413 & 291415.209160826 & -11297.5891894284 & -2.20916082606256 & 0.0419824445006785 \tabularnewline
49 & 291542 & 286805.098485379 & -6728.78645748018 & 4736.90151462053 & 0.882345691589225 \tabularnewline
50 & 284678 & 280371.265399233 & -6527.41805721285 & 4306.73460076687 & 0.0388369324957708 \tabularnewline
51 & 276475 & 273925.579591636 & -6471.78230516247 & 2549.42040836392 & 0.0107275180853488 \tabularnewline
52 & 272566 & 272134.750884506 & -3288.09072248932 & 431.249115493753 & 0.615117379832908 \tabularnewline
53 & 264981 & 270572.314117175 & -2112.31218835307 & -5591.31411717515 & 0.227162822934790 \tabularnewline
54 & 263290 & 273017.474821697 & 993.23971692474 & -9727.47482169688 & 0.598958672270499 \tabularnewline
55 & 296806 & 285819.163101555 & 9029.59102431937 & 10986.8368984454 & 1.54959489239122 \tabularnewline
56 & 303598 & 295852.386645859 & 9712.43503725265 & 7745.61335414147 & 0.131737935167007 \tabularnewline
57 & 286994 & 288017.905979002 & -2230.76950886559 & -1023.90597900196 & -2.30443859788108 \tabularnewline
58 & 276427 & 281589.037515802 & -5088.57497282072 & -5162.0375158016 & -0.551414775741474 \tabularnewline
59 & 266424 & 274020.912884393 & -6776.25253728809 & -7596.91288439303 & -0.325687245836188 \tabularnewline
60 & 267153 & 268704.926201171 & -5782.21809663462 & -1551.92620117143 & 0.191897923184899 \tabularnewline
61 & 268381 & 263247.580490331 & -5560.98386969369 & 5133.41950966913 & 0.0427053105037236 \tabularnewline
62 & 262522 & 257671.846846112 & -5571.02086396402 & 4850.15315388839 & -0.00193572589164921 \tabularnewline
63 & 255542 & 253324.760672138 & -4739.7565715873 & 2217.23932786216 & 0.160319977754258 \tabularnewline
64 & 253158 & 251823.021642463 & -2541.7159136013 & 1334.97835753746 & 0.42447042335363 \tabularnewline
65 & 243803 & 251048.122718691 & -1340.92573154174 & -7245.1227186907 & 0.231922251871647 \tabularnewline
66 & 250741 & 262013.223162209 & 7025.47664613629 & -11272.2231622094 & 1.61409515775317 \tabularnewline
67 & 280445 & 270261.652827258 & 7856.21387119896 & 10183.3471727417 & 0.160200631772948 \tabularnewline
68 & 285257 & 273298.769406940 & 4584.27896123552 & 11958.2305930596 & -0.631159446778872 \tabularnewline
69 & 270976 & 272059.522662531 & 629.96068160073 & -1083.52266253091 & -0.762968725238057 \tabularnewline
70 & 261076 & 266969.333068304 & -3254.64318426131 & -5893.3330683036 & -0.749588609510796 \tabularnewline
71 & 255603 & 263581.089840154 & -3345.37531792361 & -7978.08984015428 & -0.0175108783568468 \tabularnewline
72 & 260376 & 261541.563047107 & -2458.31745417709 & -1165.56304710658 & 0.171228690293025 \tabularnewline
73 & 263903 & 258529.380506851 & -2834.63705512840 & 5373.61949314855 & -0.0726227965228684 \tabularnewline
74 & 264291 & 258408.663443331 & -991.983851739562 & 5882.33655666882 & 0.355379863651439 \tabularnewline
75 & 263276 & 260583.593108152 & 1155.29633683121 & 2692.40689184802 & 0.414183124611897 \tabularnewline
76 & 262572 & 261992.552286078 & 1327.23020441511 & 579.447713922341 & 0.0331942251311679 \tabularnewline
77 & 256167 & 266871.473009207 & 3736.65873814838 & -10704.4730092072 & 0.465263807487358 \tabularnewline
78 & 264221 & 275268.620019142 & 6899.5263959274 & -11047.6200191421 & 0.610293302613554 \tabularnewline
79 & 293860 & 282526.991580211 & 7142.91895769037 & 11333.0084197893 & 0.0469412918028616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63746&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]274412[/C][C]274412[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]272433[/C][C]272915.331243222[/C][C]-1536.53084384839[/C][C]-482.331243222391[/C][C]-0.338623654549409[/C][/ROW]
[ROW][C]3[/C][C]268361[/C][C]268799.122134470[/C][C]-3330.92334833379[/C][C]-438.122134470516[/C][C]-0.366553965051034[/C][/ROW]
[ROW][C]4[/C][C]268586[/C][C]267702.224607973[/C][C]-1681.87956001712[/C][C]883.775392027405[/C][C]0.327333273611194[/C][/ROW]
[ROW][C]5[/C][C]264768[/C][C]265200.843148832[/C][C]-2274.29443580010[/C][C]-432.843148832322[/C][C]-0.113348645025418[/C][/ROW]
[ROW][C]6[/C][C]269974[/C][C]268402.895045034[/C][C]1663.72406398967[/C][C]1571.10495496574[/C][C]0.760817481143181[/C][/ROW]
[ROW][C]7[/C][C]304744[/C][C]297595.168170275[/C][C]21522.7182083970[/C][C]7148.83182972453[/C][C]3.83338305917547[/C][/ROW]
[ROW][C]8[/C][C]309365[/C][C]313331.834411319[/C][C]17346.1506062469[/C][C]-3966.83441131916[/C][C]-0.80577986934487[/C][/ROW]
[ROW][C]9[/C][C]308347[/C][C]312843.304041416[/C][C]4473.9524022405[/C][C]-4496.30404141599[/C][C]-2.48363393347098[/C][/ROW]
[ROW][C]10[/C][C]298427[/C][C]301377.69301121[/C][C]-7028.25884105017[/C][C]-2950.69301120984[/C][C]-2.21925759154732[/C][/ROW]
[ROW][C]11[/C][C]289231[/C][C]289315.814875962[/C][C]-10660.3341628797[/C][C]-84.8148759619235[/C][C]-0.700776746326481[/C][/ROW]
[ROW][C]12[/C][C]291975[/C][C]288777.280434597[/C][C]-3356.68394254999[/C][C]3197.71956540326[/C][C]1.40917605416842[/C][/ROW]
[ROW][C]13[/C][C]294912[/C][C]293435.987409544[/C][C]2412.34308825241[/C][C]1476.01259045597[/C][C]1.11643885302276[/C][/ROW]
[ROW][C]14[/C][C]293488[/C][C]294349.808137479[/C][C]1329.74388416496[/C][C]-861.808137479141[/C][C]-0.212154989716284[/C][/ROW]
[ROW][C]15[/C][C]290555[/C][C]291817.282139443[/C][C]-1360.26157505993[/C][C]-1262.28213944288[/C][C]-0.516326195110005[/C][/ROW]
[ROW][C]16[/C][C]284736[/C][C]283538.793642386[/C][C]-6168.46664626259[/C][C]1197.20635761359[/C][C]-0.94228338928797[/C][/ROW]
[ROW][C]17[/C][C]281818[/C][C]281539.16125601[/C][C]-3253.0152011637[/C][C]278.838743990042[/C][C]0.562316101522241[/C][/ROW]
[ROW][C]18[/C][C]287854[/C][C]291768.18904268[/C][C]6101.27162921385[/C][C]-3914.18904268028[/C][C]1.80073141511293[/C][/ROW]
[ROW][C]19[/C][C]316263[/C][C]307372.745272802[/C][C]12693.2656434027[/C][C]8890.25472719815[/C][C]1.27283035286210[/C][/ROW]
[ROW][C]20[/C][C]325412[/C][C]324635.162316395[/C][C]15867.7251346493[/C][C]776.837683604883[/C][C]0.612594340477746[/C][/ROW]
[ROW][C]21[/C][C]326011[/C][C]329293.453699349[/C][C]8077.09122190138[/C][C]-3282.45369934933[/C][C]-1.50303440573641[/C][/ROW]
[ROW][C]22[/C][C]328282[/C][C]330488.168014075[/C][C]3293.99277009526[/C][C]-2206.16801407532[/C][C]-0.92291927674726[/C][/ROW]
[ROW][C]23[/C][C]317480[/C][C]323033.844223356[/C][C]-4173.15771833449[/C][C]-5553.84422335603[/C][C]-1.44073534577277[/C][/ROW]
[ROW][C]24[/C][C]317539[/C][C]316907.866059615[/C][C]-5528.44574163976[/C][C]631.133940384718[/C][C]-0.261574900572907[/C][/ROW]
[ROW][C]25[/C][C]313737[/C][C]311841.338563644[/C][C]-5207.8367779806[/C][C]1895.661436356[/C][C]0.0620445930500974[/C][/ROW]
[ROW][C]26[/C][C]312276[/C][C]310242.176924113[/C][C]-2699.96131823118[/C][C]2033.82307588703[/C][C]0.48457626913015[/C][/ROW]
[ROW][C]27[/C][C]309391[/C][C]307433.771479096[/C][C]-2774.54819742377[/C][C]1957.22852090356[/C][C]-0.0143576268861385[/C][/ROW]
[ROW][C]28[/C][C]302950[/C][C]302579.582375682[/C][C]-4200.99390913032[/C][C]370.417624318211[/C][C]-0.276731279725493[/C][/ROW]
[ROW][C]29[/C][C]300316[/C][C]302623.141363542[/C][C]-1275.18837928434[/C][C]-2307.14136354206[/C][C]0.565653289124374[/C][/ROW]
[ROW][C]30[/C][C]304035[/C][C]309533.626229561[/C][C]4350.95791795764[/C][C]-5498.62622956149[/C][C]1.08344699943344[/C][/ROW]
[ROW][C]31[/C][C]333476[/C][C]324302.064447665[/C][C]11496.3892111362[/C][C]9173.93555233481[/C][C]1.37844749665445[/C][/ROW]
[ROW][C]32[/C][C]337698[/C][C]335079.825922182[/C][C]11002.9818491948[/C][C]2618.17407781818[/C][C]-0.0952285138832852[/C][/ROW]
[ROW][C]33[/C][C]335932[/C][C]339343.367579933[/C][C]6372.3738702567[/C][C]-3411.36757993327[/C][C]-0.893408862725439[/C][/ROW]
[ROW][C]34[/C][C]323931[/C][C]327750.312711212[/C][C]-5971.75098031309[/C][C]-3819.3127112124[/C][C]-2.38177187122071[/C][/ROW]
[ROW][C]35[/C][C]313927[/C][C]318827.285108482[/C][C]-7998.57151110695[/C][C]-4900.28510848161[/C][C]-0.391063486422027[/C][/ROW]
[ROW][C]36[/C][C]314485[/C][C]313287.526171904[/C][C]-6311.0201917799[/C][C]1197.47382809586[/C][C]0.325809075495368[/C][/ROW]
[ROW][C]37[/C][C]313218[/C][C]311163.057735359[/C][C]-3435.59492878518[/C][C]2054.94226464092[/C][C]0.555785712657227[/C][/ROW]
[ROW][C]38[/C][C]309664[/C][C]307129.721157627[/C][C]-3846.00214363422[/C][C]2534.27884237343[/C][C]-0.0791743990660157[/C][/ROW]
[ROW][C]39[/C][C]302963[/C][C]300096.480708253[/C][C]-6023.43039165672[/C][C]2866.5192917471[/C][C]-0.419638235748755[/C][/ROW]
[ROW][C]40[/C][C]298989[/C][C]297944.395443389[/C][C]-3382.54092587179[/C][C]1044.60455661127[/C][C]0.510806462926683[/C][/ROW]
[ROW][C]41[/C][C]298423[/C][C]301737.421643017[/C][C]1526.54342605722[/C][C]-3314.42164301650[/C][C]0.948859165191138[/C][/ROW]
[ROW][C]42[/C][C]301631[/C][C]309852.917813861[/C][C]6031.32613545839[/C][C]-8221.91781386106[/C][C]0.86831949760896[/C][/ROW]
[ROW][C]43[/C][C]329765[/C][C]320537.686576292[/C][C]9207.06523899988[/C][C]9227.3134237077[/C][C]0.612377861916892[/C][/ROW]
[ROW][C]44[/C][C]335083[/C][C]330546.984688084[/C][C]9754.65915616535[/C][C]4536.01531191641[/C][C]0.105666367668587[/C][/ROW]
[ROW][C]45[/C][C]327616[/C][C]328591.391099118[/C][C]1755.99730782869[/C][C]-975.39109911816[/C][C]-1.54332240936234[/C][/ROW]
[ROW][C]46[/C][C]309119[/C][C]315616.708271650[/C][C]-8306.8081279278[/C][C]-6497.70827165035[/C][C]-1.94153739068852[/C][/ROW]
[ROW][C]47[/C][C]295916[/C][C]302611.768810427[/C][C]-11515.0378159255[/C][C]-6695.76881042693[/C][C]-0.619061199676495[/C][/ROW]
[ROW][C]48[/C][C]291413[/C][C]291415.209160826[/C][C]-11297.5891894284[/C][C]-2.20916082606256[/C][C]0.0419824445006785[/C][/ROW]
[ROW][C]49[/C][C]291542[/C][C]286805.098485379[/C][C]-6728.78645748018[/C][C]4736.90151462053[/C][C]0.882345691589225[/C][/ROW]
[ROW][C]50[/C][C]284678[/C][C]280371.265399233[/C][C]-6527.41805721285[/C][C]4306.73460076687[/C][C]0.0388369324957708[/C][/ROW]
[ROW][C]51[/C][C]276475[/C][C]273925.579591636[/C][C]-6471.78230516247[/C][C]2549.42040836392[/C][C]0.0107275180853488[/C][/ROW]
[ROW][C]52[/C][C]272566[/C][C]272134.750884506[/C][C]-3288.09072248932[/C][C]431.249115493753[/C][C]0.615117379832908[/C][/ROW]
[ROW][C]53[/C][C]264981[/C][C]270572.314117175[/C][C]-2112.31218835307[/C][C]-5591.31411717515[/C][C]0.227162822934790[/C][/ROW]
[ROW][C]54[/C][C]263290[/C][C]273017.474821697[/C][C]993.23971692474[/C][C]-9727.47482169688[/C][C]0.598958672270499[/C][/ROW]
[ROW][C]55[/C][C]296806[/C][C]285819.163101555[/C][C]9029.59102431937[/C][C]10986.8368984454[/C][C]1.54959489239122[/C][/ROW]
[ROW][C]56[/C][C]303598[/C][C]295852.386645859[/C][C]9712.43503725265[/C][C]7745.61335414147[/C][C]0.131737935167007[/C][/ROW]
[ROW][C]57[/C][C]286994[/C][C]288017.905979002[/C][C]-2230.76950886559[/C][C]-1023.90597900196[/C][C]-2.30443859788108[/C][/ROW]
[ROW][C]58[/C][C]276427[/C][C]281589.037515802[/C][C]-5088.57497282072[/C][C]-5162.0375158016[/C][C]-0.551414775741474[/C][/ROW]
[ROW][C]59[/C][C]266424[/C][C]274020.912884393[/C][C]-6776.25253728809[/C][C]-7596.91288439303[/C][C]-0.325687245836188[/C][/ROW]
[ROW][C]60[/C][C]267153[/C][C]268704.926201171[/C][C]-5782.21809663462[/C][C]-1551.92620117143[/C][C]0.191897923184899[/C][/ROW]
[ROW][C]61[/C][C]268381[/C][C]263247.580490331[/C][C]-5560.98386969369[/C][C]5133.41950966913[/C][C]0.0427053105037236[/C][/ROW]
[ROW][C]62[/C][C]262522[/C][C]257671.846846112[/C][C]-5571.02086396402[/C][C]4850.15315388839[/C][C]-0.00193572589164921[/C][/ROW]
[ROW][C]63[/C][C]255542[/C][C]253324.760672138[/C][C]-4739.7565715873[/C][C]2217.23932786216[/C][C]0.160319977754258[/C][/ROW]
[ROW][C]64[/C][C]253158[/C][C]251823.021642463[/C][C]-2541.7159136013[/C][C]1334.97835753746[/C][C]0.42447042335363[/C][/ROW]
[ROW][C]65[/C][C]243803[/C][C]251048.122718691[/C][C]-1340.92573154174[/C][C]-7245.1227186907[/C][C]0.231922251871647[/C][/ROW]
[ROW][C]66[/C][C]250741[/C][C]262013.223162209[/C][C]7025.47664613629[/C][C]-11272.2231622094[/C][C]1.61409515775317[/C][/ROW]
[ROW][C]67[/C][C]280445[/C][C]270261.652827258[/C][C]7856.21387119896[/C][C]10183.3471727417[/C][C]0.160200631772948[/C][/ROW]
[ROW][C]68[/C][C]285257[/C][C]273298.769406940[/C][C]4584.27896123552[/C][C]11958.2305930596[/C][C]-0.631159446778872[/C][/ROW]
[ROW][C]69[/C][C]270976[/C][C]272059.522662531[/C][C]629.96068160073[/C][C]-1083.52266253091[/C][C]-0.762968725238057[/C][/ROW]
[ROW][C]70[/C][C]261076[/C][C]266969.333068304[/C][C]-3254.64318426131[/C][C]-5893.3330683036[/C][C]-0.749588609510796[/C][/ROW]
[ROW][C]71[/C][C]255603[/C][C]263581.089840154[/C][C]-3345.37531792361[/C][C]-7978.08984015428[/C][C]-0.0175108783568468[/C][/ROW]
[ROW][C]72[/C][C]260376[/C][C]261541.563047107[/C][C]-2458.31745417709[/C][C]-1165.56304710658[/C][C]0.171228690293025[/C][/ROW]
[ROW][C]73[/C][C]263903[/C][C]258529.380506851[/C][C]-2834.63705512840[/C][C]5373.61949314855[/C][C]-0.0726227965228684[/C][/ROW]
[ROW][C]74[/C][C]264291[/C][C]258408.663443331[/C][C]-991.983851739562[/C][C]5882.33655666882[/C][C]0.355379863651439[/C][/ROW]
[ROW][C]75[/C][C]263276[/C][C]260583.593108152[/C][C]1155.29633683121[/C][C]2692.40689184802[/C][C]0.414183124611897[/C][/ROW]
[ROW][C]76[/C][C]262572[/C][C]261992.552286078[/C][C]1327.23020441511[/C][C]579.447713922341[/C][C]0.0331942251311679[/C][/ROW]
[ROW][C]77[/C][C]256167[/C][C]266871.473009207[/C][C]3736.65873814838[/C][C]-10704.4730092072[/C][C]0.465263807487358[/C][/ROW]
[ROW][C]78[/C][C]264221[/C][C]275268.620019142[/C][C]6899.5263959274[/C][C]-11047.6200191421[/C][C]0.610293302613554[/C][/ROW]
[ROW][C]79[/C][C]293860[/C][C]282526.991580211[/C][C]7142.91895769037[/C][C]11333.0084197893[/C][C]0.0469412918028616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63746&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63746&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
1274412274412000
2272433272915.331243222-1536.53084384839-482.331243222391-0.338623654549409
3268361268799.122134470-3330.92334833379-438.122134470516-0.366553965051034
4268586267702.224607973-1681.87956001712883.7753920274050.327333273611194
5264768265200.843148832-2274.29443580010-432.843148832322-0.113348645025418
6269974268402.8950450341663.724063989671571.104954965740.760817481143181
7304744297595.16817027521522.71820839707148.831829724533.83338305917547
8309365313331.83441131917346.1506062469-3966.83441131916-0.80577986934487
9308347312843.3040414164473.9524022405-4496.30404141599-2.48363393347098
10298427301377.69301121-7028.25884105017-2950.69301120984-2.21925759154732
11289231289315.814875962-10660.3341628797-84.8148759619235-0.700776746326481
12291975288777.280434597-3356.683942549993197.719565403261.40917605416842
13294912293435.9874095442412.343088252411476.012590455971.11643885302276
14293488294349.8081374791329.74388416496-861.808137479141-0.212154989716284
15290555291817.282139443-1360.26157505993-1262.28213944288-0.516326195110005
16284736283538.793642386-6168.466646262591197.20635761359-0.94228338928797
17281818281539.16125601-3253.0152011637278.8387439900420.562316101522241
18287854291768.189042686101.27162921385-3914.189042680281.80073141511293
19316263307372.74527280212693.26564340278890.254727198151.27283035286210
20325412324635.16231639515867.7251346493776.8376836048830.612594340477746
21326011329293.4536993498077.09122190138-3282.45369934933-1.50303440573641
22328282330488.1680140753293.99277009526-2206.16801407532-0.92291927674726
23317480323033.844223356-4173.15771833449-5553.84422335603-1.44073534577277
24317539316907.866059615-5528.44574163976631.133940384718-0.261574900572907
25313737311841.338563644-5207.83677798061895.6614363560.0620445930500974
26312276310242.176924113-2699.961318231182033.823075887030.48457626913015
27309391307433.771479096-2774.548197423771957.22852090356-0.0143576268861385
28302950302579.582375682-4200.99390913032370.417624318211-0.276731279725493
29300316302623.141363542-1275.18837928434-2307.141363542060.565653289124374
30304035309533.6262295614350.95791795764-5498.626229561491.08344699943344
31333476324302.06444766511496.38921113629173.935552334811.37844749665445
32337698335079.82592218211002.98184919482618.17407781818-0.0952285138832852
33335932339343.3675799336372.3738702567-3411.36757993327-0.893408862725439
34323931327750.312711212-5971.75098031309-3819.3127112124-2.38177187122071
35313927318827.285108482-7998.57151110695-4900.28510848161-0.391063486422027
36314485313287.526171904-6311.02019177991197.473828095860.325809075495368
37313218311163.057735359-3435.594928785182054.942264640920.555785712657227
38309664307129.721157627-3846.002143634222534.27884237343-0.0791743990660157
39302963300096.480708253-6023.430391656722866.5192917471-0.419638235748755
40298989297944.395443389-3382.540925871791044.604556611270.510806462926683
41298423301737.4216430171526.54342605722-3314.421643016500.948859165191138
42301631309852.9178138616031.32613545839-8221.917813861060.86831949760896
43329765320537.6865762929207.065238999889227.31342370770.612377861916892
44335083330546.9846880849754.659156165354536.015311916410.105666367668587
45327616328591.3910991181755.99730782869-975.39109911816-1.54332240936234
46309119315616.708271650-8306.8081279278-6497.70827165035-1.94153739068852
47295916302611.768810427-11515.0378159255-6695.76881042693-0.619061199676495
48291413291415.209160826-11297.5891894284-2.209160826062560.0419824445006785
49291542286805.098485379-6728.786457480184736.901514620530.882345691589225
50284678280371.265399233-6527.418057212854306.734600766870.0388369324957708
51276475273925.579591636-6471.782305162472549.420408363920.0107275180853488
52272566272134.750884506-3288.09072248932431.2491154937530.615117379832908
53264981270572.314117175-2112.31218835307-5591.314117175150.227162822934790
54263290273017.474821697993.23971692474-9727.474821696880.598958672270499
55296806285819.1631015559029.5910243193710986.83689844541.54959489239122
56303598295852.3866458599712.435037252657745.613354141470.131737935167007
57286994288017.905979002-2230.76950886559-1023.90597900196-2.30443859788108
58276427281589.037515802-5088.57497282072-5162.0375158016-0.551414775741474
59266424274020.912884393-6776.25253728809-7596.91288439303-0.325687245836188
60267153268704.926201171-5782.21809663462-1551.926201171430.191897923184899
61268381263247.580490331-5560.983869693695133.419509669130.0427053105037236
62262522257671.846846112-5571.020863964024850.15315388839-0.00193572589164921
63255542253324.760672138-4739.75657158732217.239327862160.160319977754258
64253158251823.021642463-2541.71591360131334.978357537460.42447042335363
65243803251048.122718691-1340.92573154174-7245.12271869070.231922251871647
66250741262013.2231622097025.47664613629-11272.22316220941.61409515775317
67280445270261.6528272587856.2138711989610183.34717274170.160200631772948
68285257273298.7694069404584.2789612355211958.2305930596-0.631159446778872
69270976272059.522662531629.96068160073-1083.52266253091-0.762968725238057
70261076266969.333068304-3254.64318426131-5893.3330683036-0.749588609510796
71255603263581.089840154-3345.37531792361-7978.08984015428-0.0175108783568468
72260376261541.563047107-2458.31745417709-1165.563047106580.171228690293025
73263903258529.380506851-2834.637055128405373.61949314855-0.0726227965228684
74264291258408.663443331-991.9838517395625882.336556668820.355379863651439
75263276260583.5931081521155.296336831212692.406891848020.414183124611897
76262572261992.5522860781327.23020441511579.4477139223410.0331942251311679
77256167266871.4730092073736.65873814838-10704.47300920720.465263807487358
78264221275268.6200191426899.5263959274-11047.62001914210.610293302613554
79293860282526.9915802117142.9189576903711333.00841978930.0469412918028616



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')