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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 computationTue, 28 Dec 2010 20:59:26 +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/28/t1293569840ttma8u0oeow7szz.htm/, Retrieved Sun, 05 May 2024 02:49:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116549, Retrieved Sun, 05 May 2024 02:49:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Paper] [2010-12-28 20:59:26] [d5e0edb7e0239841e94676417b2a1e2e] [Current]
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Dataseries X:
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330
169362
166827
178037
186413
189226
191563
188906
186005
195309
223532
226899
214126
206903
204442
220375
214320
212588
205816
202196
195722
198563
229139
229527
211868
203555
195770




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116549&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116549&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1235243235243000
2230354232283.475300317-3118.98546718632-1929.47530031745-0.787770786139232
3227184226737.043058758-4667.55045327995446.956941242212-0.314224091923093
4221678221561.922420082-5005.54543250559116.077579917826-0.071999339595215
5217142216898.935455963-4777.82355696093243.0645440372230.0449541604538859
6219452217433.461776764-1312.927779504732018.538223236140.688572060871794
7256446245673.03913041918012.03438936110772.96086958083.85734568502129
8265845267933.87159681920797.4692310085-2088.871596819060.554935040690873
9248624260257.1261157882125.53403808093-11633.1261157883-3.71935122915677
10241114244536.289229718-9574.88059089592-3422.28922971804-2.33087005318605
11229245229277.411038897-13300.5565978056-32.411038896804-0.742179145405557
12231805226913.205900511-6132.79097415864891.794099489011.42785852085247
13219277220596.426578587-6252.94520354418-1319.4265785873-0.0240284551797335
14219313218258.291322507-3684.648278104731054.708677492540.520038923266318
15212610211882.273225669-5403.86472967043727.726774330758-0.33946396850086
16214771210534.651651769-2851.44995524084236.348348231290.515689148976804
17211142211986.062548644-109.067057220854-844.0625486438470.550216572046135
18211457219667.0088391534826.62660617173-8210.008839153040.97900546599519
19240048230625.9368586288692.091255207469422.06314137180.769657809871539
20240636235259.813435476129.75800313565376.18656452976-0.510881514528709
21230580236834.3429670433249.43051961296-6254.34296704321-0.573777676921273
22208795218436.564653128-10440.6554181222-9641.56465312842-2.72716790482247
23197922202030.328090383-14211.3805973328-4108.32809038303-0.751187175939356
24194596188821.104848968-13578.70132617925774.895151031650.126098282857188
25194581190553.625863171-3909.595324754634027.374136828911.932342386762
26185686184778.249522188-5089.45660868973907.750477812478-0.2354425777624
27178106178163.860071679-6046.06533564857-57.8600716789767-0.189976400953351
28172608170360.121716464-7142.23398362552247.87828353585-0.219140218164648
29167302169410.018440859-3261.32092299261-2108.018440859470.776881772309404
30168053176474.5379227293213.05582589735-8421.537922729161.28832533634249
31202300189940.0551745689617.9638937486412359.94482543161.27393816818813
32202388196887.8340236777950.656907629815500.16597632308-0.332184095681747
33182516186807.23545374-3321.57149718465-4291.23545373993-2.24587418391417
34173476180162.302467512-5400.04613149327-6686.30246751232-0.414047163981782
35166444172531.68125591-6794.52712687721-6087.68125591043-0.277821536677563
36171297169600.330112866-4380.245122491721696.669887134490.481335141427902
37169701164873.355591314-4597.105855103484827.64440868621-0.0432704221247869
38164182160991.666746623-4149.742743994883190.333253377340.089111366597111
39161914159351.935854454-2586.578087342962562.064145545660.310929178690287
40159612159043.357433323-1171.65522107888568.6425666771290.282279828668302
41151001158348.976122202-874.530947359976-7347.976122201820.0593581284609816
42158114167694.4066798145495.7522704793-9580.406679813721.26920530017726
43186530173559.3800652155725.4808413809112970.61993478450.0457091639308827
44187069175926.921392243638.6280863977511142.0786077599-0.415535207167158
45174330177636.0987662442439.16335767283-3306.09876624417-0.238959092548035
46169362176635.221022719299.840975595553-7273.22102271888-0.426228488063223
47166827174832.720507105-1007.54407215932-8005.72050710466-0.260527834256694
48178037175280.961486966-102.0608997057342756.03851303430.180519749166594
49186413179870.8754957552817.972729182156542.124504245040.582122455906605
50189226185671.8835858034673.289049617223554.116414197330.36942268709986
51191563189675.8749078474258.059102480381887.12509215314-0.082643755255516
52188906190335.8182216492028.99532284567-1429.81822164902-0.444422383109327
53186005195991.2718979714278.53217885679-9986.2718979710.448956904681937
54195309204153.796506016690.55331169134-8844.796506010420.48074346176637
55223532210076.9414392766214.386918862213455.0585607243-0.0947850942146274
56226899215171.0587239925520.1181184475911727.9412760083-0.138217594040503
57214126217029.4058390823251.52539822038-2903.40583908191-0.451886535516855
58206903214883.799169536-92.7381171694744-7980.79916953632-0.666379595495791
59204442213310.665913817-1010.2650646007-8868.6659138167-0.182874987463589
60220375217561.5951678952251.931518300712813.404832105340.650301218751216
61214320212156.014582494-2497.65807780062163.98541750632-0.946444689196778
62212588208105.379468978-3460.182095307564482.62053102215-0.191637979443586
63205816203063.437639888-4438.833847470222752.56236011208-0.194837158824675
64202196203404.570810108-1484.02833993371-1208.570810107570.588965764473686
65195722206204.1517655351166.2399327503-10482.15176553510.528666137790662
66198563207629.7468657371326.85416587885-9066.746865737360.0320147999893518
67229139213566.2888031574180.3698974056715572.7111968430.568183536881156
68229527216885.8047703343648.0607662484312641.1952296657-0.105972790114439
69211868214846.136836091133.325135065316-2978.13683609107-0.700038566080598
70203555212339.306904918-1498.14441994838-8784.30690491777-0.325106632455227
71195770207585.790379837-3510.52938433171-11815.7903798365-0.401137466304889

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 235243 & 235243 & 0 & 0 & 0 \tabularnewline
2 & 230354 & 232283.475300317 & -3118.98546718632 & -1929.47530031745 & -0.787770786139232 \tabularnewline
3 & 227184 & 226737.043058758 & -4667.55045327995 & 446.956941242212 & -0.314224091923093 \tabularnewline
4 & 221678 & 221561.922420082 & -5005.54543250559 & 116.077579917826 & -0.071999339595215 \tabularnewline
5 & 217142 & 216898.935455963 & -4777.82355696093 & 243.064544037223 & 0.0449541604538859 \tabularnewline
6 & 219452 & 217433.461776764 & -1312.92777950473 & 2018.53822323614 & 0.688572060871794 \tabularnewline
7 & 256446 & 245673.039130419 & 18012.034389361 & 10772.9608695808 & 3.85734568502129 \tabularnewline
8 & 265845 & 267933.871596819 & 20797.4692310085 & -2088.87159681906 & 0.554935040690873 \tabularnewline
9 & 248624 & 260257.126115788 & 2125.53403808093 & -11633.1261157883 & -3.71935122915677 \tabularnewline
10 & 241114 & 244536.289229718 & -9574.88059089592 & -3422.28922971804 & -2.33087005318605 \tabularnewline
11 & 229245 & 229277.411038897 & -13300.5565978056 & -32.411038896804 & -0.742179145405557 \tabularnewline
12 & 231805 & 226913.205900511 & -6132.7909741586 & 4891.79409948901 & 1.42785852085247 \tabularnewline
13 & 219277 & 220596.426578587 & -6252.94520354418 & -1319.4265785873 & -0.0240284551797335 \tabularnewline
14 & 219313 & 218258.291322507 & -3684.64827810473 & 1054.70867749254 & 0.520038923266318 \tabularnewline
15 & 212610 & 211882.273225669 & -5403.86472967043 & 727.726774330758 & -0.33946396850086 \tabularnewline
16 & 214771 & 210534.651651769 & -2851.4499552408 & 4236.34834823129 & 0.515689148976804 \tabularnewline
17 & 211142 & 211986.062548644 & -109.067057220854 & -844.062548643847 & 0.550216572046135 \tabularnewline
18 & 211457 & 219667.008839153 & 4826.62660617173 & -8210.00883915304 & 0.97900546599519 \tabularnewline
19 & 240048 & 230625.936858628 & 8692.09125520746 & 9422.0631413718 & 0.769657809871539 \tabularnewline
20 & 240636 & 235259.81343547 & 6129.7580031356 & 5376.18656452976 & -0.510881514528709 \tabularnewline
21 & 230580 & 236834.342967043 & 3249.43051961296 & -6254.34296704321 & -0.573777676921273 \tabularnewline
22 & 208795 & 218436.564653128 & -10440.6554181222 & -9641.56465312842 & -2.72716790482247 \tabularnewline
23 & 197922 & 202030.328090383 & -14211.3805973328 & -4108.32809038303 & -0.751187175939356 \tabularnewline
24 & 194596 & 188821.104848968 & -13578.7013261792 & 5774.89515103165 & 0.126098282857188 \tabularnewline
25 & 194581 & 190553.625863171 & -3909.59532475463 & 4027.37413682891 & 1.932342386762 \tabularnewline
26 & 185686 & 184778.249522188 & -5089.45660868973 & 907.750477812478 & -0.2354425777624 \tabularnewline
27 & 178106 & 178163.860071679 & -6046.06533564857 & -57.8600716789767 & -0.189976400953351 \tabularnewline
28 & 172608 & 170360.121716464 & -7142.2339836255 & 2247.87828353585 & -0.219140218164648 \tabularnewline
29 & 167302 & 169410.018440859 & -3261.32092299261 & -2108.01844085947 & 0.776881772309404 \tabularnewline
30 & 168053 & 176474.537922729 & 3213.05582589735 & -8421.53792272916 & 1.28832533634249 \tabularnewline
31 & 202300 & 189940.055174568 & 9617.96389374864 & 12359.9448254316 & 1.27393816818813 \tabularnewline
32 & 202388 & 196887.834023677 & 7950.65690762981 & 5500.16597632308 & -0.332184095681747 \tabularnewline
33 & 182516 & 186807.23545374 & -3321.57149718465 & -4291.23545373993 & -2.24587418391417 \tabularnewline
34 & 173476 & 180162.302467512 & -5400.04613149327 & -6686.30246751232 & -0.414047163981782 \tabularnewline
35 & 166444 & 172531.68125591 & -6794.52712687721 & -6087.68125591043 & -0.277821536677563 \tabularnewline
36 & 171297 & 169600.330112866 & -4380.24512249172 & 1696.66988713449 & 0.481335141427902 \tabularnewline
37 & 169701 & 164873.355591314 & -4597.10585510348 & 4827.64440868621 & -0.0432704221247869 \tabularnewline
38 & 164182 & 160991.666746623 & -4149.74274399488 & 3190.33325337734 & 0.089111366597111 \tabularnewline
39 & 161914 & 159351.935854454 & -2586.57808734296 & 2562.06414554566 & 0.310929178690287 \tabularnewline
40 & 159612 & 159043.357433323 & -1171.65522107888 & 568.642566677129 & 0.282279828668302 \tabularnewline
41 & 151001 & 158348.976122202 & -874.530947359976 & -7347.97612220182 & 0.0593581284609816 \tabularnewline
42 & 158114 & 167694.406679814 & 5495.7522704793 & -9580.40667981372 & 1.26920530017726 \tabularnewline
43 & 186530 & 173559.380065215 & 5725.48084138091 & 12970.6199347845 & 0.0457091639308827 \tabularnewline
44 & 187069 & 175926.92139224 & 3638.62808639775 & 11142.0786077599 & -0.415535207167158 \tabularnewline
45 & 174330 & 177636.098766244 & 2439.16335767283 & -3306.09876624417 & -0.238959092548035 \tabularnewline
46 & 169362 & 176635.221022719 & 299.840975595553 & -7273.22102271888 & -0.426228488063223 \tabularnewline
47 & 166827 & 174832.720507105 & -1007.54407215932 & -8005.72050710466 & -0.260527834256694 \tabularnewline
48 & 178037 & 175280.961486966 & -102.060899705734 & 2756.0385130343 & 0.180519749166594 \tabularnewline
49 & 186413 & 179870.875495755 & 2817.97272918215 & 6542.12450424504 & 0.582122455906605 \tabularnewline
50 & 189226 & 185671.883585803 & 4673.28904961722 & 3554.11641419733 & 0.36942268709986 \tabularnewline
51 & 191563 & 189675.874907847 & 4258.05910248038 & 1887.12509215314 & -0.082643755255516 \tabularnewline
52 & 188906 & 190335.818221649 & 2028.99532284567 & -1429.81822164902 & -0.444422383109327 \tabularnewline
53 & 186005 & 195991.271897971 & 4278.53217885679 & -9986.271897971 & 0.448956904681937 \tabularnewline
54 & 195309 & 204153.79650601 & 6690.55331169134 & -8844.79650601042 & 0.48074346176637 \tabularnewline
55 & 223532 & 210076.941439276 & 6214.3869188622 & 13455.0585607243 & -0.0947850942146274 \tabularnewline
56 & 226899 & 215171.058723992 & 5520.11811844759 & 11727.9412760083 & -0.138217594040503 \tabularnewline
57 & 214126 & 217029.405839082 & 3251.52539822038 & -2903.40583908191 & -0.451886535516855 \tabularnewline
58 & 206903 & 214883.799169536 & -92.7381171694744 & -7980.79916953632 & -0.666379595495791 \tabularnewline
59 & 204442 & 213310.665913817 & -1010.2650646007 & -8868.6659138167 & -0.182874987463589 \tabularnewline
60 & 220375 & 217561.595167895 & 2251.93151830071 & 2813.40483210534 & 0.650301218751216 \tabularnewline
61 & 214320 & 212156.014582494 & -2497.6580778006 & 2163.98541750632 & -0.946444689196778 \tabularnewline
62 & 212588 & 208105.379468978 & -3460.18209530756 & 4482.62053102215 & -0.191637979443586 \tabularnewline
63 & 205816 & 203063.437639888 & -4438.83384747022 & 2752.56236011208 & -0.194837158824675 \tabularnewline
64 & 202196 & 203404.570810108 & -1484.02833993371 & -1208.57081010757 & 0.588965764473686 \tabularnewline
65 & 195722 & 206204.151765535 & 1166.2399327503 & -10482.1517655351 & 0.528666137790662 \tabularnewline
66 & 198563 & 207629.746865737 & 1326.85416587885 & -9066.74686573736 & 0.0320147999893518 \tabularnewline
67 & 229139 & 213566.288803157 & 4180.36989740567 & 15572.711196843 & 0.568183536881156 \tabularnewline
68 & 229527 & 216885.804770334 & 3648.06076624843 & 12641.1952296657 & -0.105972790114439 \tabularnewline
69 & 211868 & 214846.136836091 & 133.325135065316 & -2978.13683609107 & -0.700038566080598 \tabularnewline
70 & 203555 & 212339.306904918 & -1498.14441994838 & -8784.30690491777 & -0.325106632455227 \tabularnewline
71 & 195770 & 207585.790379837 & -3510.52938433171 & -11815.7903798365 & -0.401137466304889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116549&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]235243[/C][C]235243[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]230354[/C][C]232283.475300317[/C][C]-3118.98546718632[/C][C]-1929.47530031745[/C][C]-0.787770786139232[/C][/ROW]
[ROW][C]3[/C][C]227184[/C][C]226737.043058758[/C][C]-4667.55045327995[/C][C]446.956941242212[/C][C]-0.314224091923093[/C][/ROW]
[ROW][C]4[/C][C]221678[/C][C]221561.922420082[/C][C]-5005.54543250559[/C][C]116.077579917826[/C][C]-0.071999339595215[/C][/ROW]
[ROW][C]5[/C][C]217142[/C][C]216898.935455963[/C][C]-4777.82355696093[/C][C]243.064544037223[/C][C]0.0449541604538859[/C][/ROW]
[ROW][C]6[/C][C]219452[/C][C]217433.461776764[/C][C]-1312.92777950473[/C][C]2018.53822323614[/C][C]0.688572060871794[/C][/ROW]
[ROW][C]7[/C][C]256446[/C][C]245673.039130419[/C][C]18012.034389361[/C][C]10772.9608695808[/C][C]3.85734568502129[/C][/ROW]
[ROW][C]8[/C][C]265845[/C][C]267933.871596819[/C][C]20797.4692310085[/C][C]-2088.87159681906[/C][C]0.554935040690873[/C][/ROW]
[ROW][C]9[/C][C]248624[/C][C]260257.126115788[/C][C]2125.53403808093[/C][C]-11633.1261157883[/C][C]-3.71935122915677[/C][/ROW]
[ROW][C]10[/C][C]241114[/C][C]244536.289229718[/C][C]-9574.88059089592[/C][C]-3422.28922971804[/C][C]-2.33087005318605[/C][/ROW]
[ROW][C]11[/C][C]229245[/C][C]229277.411038897[/C][C]-13300.5565978056[/C][C]-32.411038896804[/C][C]-0.742179145405557[/C][/ROW]
[ROW][C]12[/C][C]231805[/C][C]226913.205900511[/C][C]-6132.7909741586[/C][C]4891.79409948901[/C][C]1.42785852085247[/C][/ROW]
[ROW][C]13[/C][C]219277[/C][C]220596.426578587[/C][C]-6252.94520354418[/C][C]-1319.4265785873[/C][C]-0.0240284551797335[/C][/ROW]
[ROW][C]14[/C][C]219313[/C][C]218258.291322507[/C][C]-3684.64827810473[/C][C]1054.70867749254[/C][C]0.520038923266318[/C][/ROW]
[ROW][C]15[/C][C]212610[/C][C]211882.273225669[/C][C]-5403.86472967043[/C][C]727.726774330758[/C][C]-0.33946396850086[/C][/ROW]
[ROW][C]16[/C][C]214771[/C][C]210534.651651769[/C][C]-2851.4499552408[/C][C]4236.34834823129[/C][C]0.515689148976804[/C][/ROW]
[ROW][C]17[/C][C]211142[/C][C]211986.062548644[/C][C]-109.067057220854[/C][C]-844.062548643847[/C][C]0.550216572046135[/C][/ROW]
[ROW][C]18[/C][C]211457[/C][C]219667.008839153[/C][C]4826.62660617173[/C][C]-8210.00883915304[/C][C]0.97900546599519[/C][/ROW]
[ROW][C]19[/C][C]240048[/C][C]230625.936858628[/C][C]8692.09125520746[/C][C]9422.0631413718[/C][C]0.769657809871539[/C][/ROW]
[ROW][C]20[/C][C]240636[/C][C]235259.81343547[/C][C]6129.7580031356[/C][C]5376.18656452976[/C][C]-0.510881514528709[/C][/ROW]
[ROW][C]21[/C][C]230580[/C][C]236834.342967043[/C][C]3249.43051961296[/C][C]-6254.34296704321[/C][C]-0.573777676921273[/C][/ROW]
[ROW][C]22[/C][C]208795[/C][C]218436.564653128[/C][C]-10440.6554181222[/C][C]-9641.56465312842[/C][C]-2.72716790482247[/C][/ROW]
[ROW][C]23[/C][C]197922[/C][C]202030.328090383[/C][C]-14211.3805973328[/C][C]-4108.32809038303[/C][C]-0.751187175939356[/C][/ROW]
[ROW][C]24[/C][C]194596[/C][C]188821.104848968[/C][C]-13578.7013261792[/C][C]5774.89515103165[/C][C]0.126098282857188[/C][/ROW]
[ROW][C]25[/C][C]194581[/C][C]190553.625863171[/C][C]-3909.59532475463[/C][C]4027.37413682891[/C][C]1.932342386762[/C][/ROW]
[ROW][C]26[/C][C]185686[/C][C]184778.249522188[/C][C]-5089.45660868973[/C][C]907.750477812478[/C][C]-0.2354425777624[/C][/ROW]
[ROW][C]27[/C][C]178106[/C][C]178163.860071679[/C][C]-6046.06533564857[/C][C]-57.8600716789767[/C][C]-0.189976400953351[/C][/ROW]
[ROW][C]28[/C][C]172608[/C][C]170360.121716464[/C][C]-7142.2339836255[/C][C]2247.87828353585[/C][C]-0.219140218164648[/C][/ROW]
[ROW][C]29[/C][C]167302[/C][C]169410.018440859[/C][C]-3261.32092299261[/C][C]-2108.01844085947[/C][C]0.776881772309404[/C][/ROW]
[ROW][C]30[/C][C]168053[/C][C]176474.537922729[/C][C]3213.05582589735[/C][C]-8421.53792272916[/C][C]1.28832533634249[/C][/ROW]
[ROW][C]31[/C][C]202300[/C][C]189940.055174568[/C][C]9617.96389374864[/C][C]12359.9448254316[/C][C]1.27393816818813[/C][/ROW]
[ROW][C]32[/C][C]202388[/C][C]196887.834023677[/C][C]7950.65690762981[/C][C]5500.16597632308[/C][C]-0.332184095681747[/C][/ROW]
[ROW][C]33[/C][C]182516[/C][C]186807.23545374[/C][C]-3321.57149718465[/C][C]-4291.23545373993[/C][C]-2.24587418391417[/C][/ROW]
[ROW][C]34[/C][C]173476[/C][C]180162.302467512[/C][C]-5400.04613149327[/C][C]-6686.30246751232[/C][C]-0.414047163981782[/C][/ROW]
[ROW][C]35[/C][C]166444[/C][C]172531.68125591[/C][C]-6794.52712687721[/C][C]-6087.68125591043[/C][C]-0.277821536677563[/C][/ROW]
[ROW][C]36[/C][C]171297[/C][C]169600.330112866[/C][C]-4380.24512249172[/C][C]1696.66988713449[/C][C]0.481335141427902[/C][/ROW]
[ROW][C]37[/C][C]169701[/C][C]164873.355591314[/C][C]-4597.10585510348[/C][C]4827.64440868621[/C][C]-0.0432704221247869[/C][/ROW]
[ROW][C]38[/C][C]164182[/C][C]160991.666746623[/C][C]-4149.74274399488[/C][C]3190.33325337734[/C][C]0.089111366597111[/C][/ROW]
[ROW][C]39[/C][C]161914[/C][C]159351.935854454[/C][C]-2586.57808734296[/C][C]2562.06414554566[/C][C]0.310929178690287[/C][/ROW]
[ROW][C]40[/C][C]159612[/C][C]159043.357433323[/C][C]-1171.65522107888[/C][C]568.642566677129[/C][C]0.282279828668302[/C][/ROW]
[ROW][C]41[/C][C]151001[/C][C]158348.976122202[/C][C]-874.530947359976[/C][C]-7347.97612220182[/C][C]0.0593581284609816[/C][/ROW]
[ROW][C]42[/C][C]158114[/C][C]167694.406679814[/C][C]5495.7522704793[/C][C]-9580.40667981372[/C][C]1.26920530017726[/C][/ROW]
[ROW][C]43[/C][C]186530[/C][C]173559.380065215[/C][C]5725.48084138091[/C][C]12970.6199347845[/C][C]0.0457091639308827[/C][/ROW]
[ROW][C]44[/C][C]187069[/C][C]175926.92139224[/C][C]3638.62808639775[/C][C]11142.0786077599[/C][C]-0.415535207167158[/C][/ROW]
[ROW][C]45[/C][C]174330[/C][C]177636.098766244[/C][C]2439.16335767283[/C][C]-3306.09876624417[/C][C]-0.238959092548035[/C][/ROW]
[ROW][C]46[/C][C]169362[/C][C]176635.221022719[/C][C]299.840975595553[/C][C]-7273.22102271888[/C][C]-0.426228488063223[/C][/ROW]
[ROW][C]47[/C][C]166827[/C][C]174832.720507105[/C][C]-1007.54407215932[/C][C]-8005.72050710466[/C][C]-0.260527834256694[/C][/ROW]
[ROW][C]48[/C][C]178037[/C][C]175280.961486966[/C][C]-102.060899705734[/C][C]2756.0385130343[/C][C]0.180519749166594[/C][/ROW]
[ROW][C]49[/C][C]186413[/C][C]179870.875495755[/C][C]2817.97272918215[/C][C]6542.12450424504[/C][C]0.582122455906605[/C][/ROW]
[ROW][C]50[/C][C]189226[/C][C]185671.883585803[/C][C]4673.28904961722[/C][C]3554.11641419733[/C][C]0.36942268709986[/C][/ROW]
[ROW][C]51[/C][C]191563[/C][C]189675.874907847[/C][C]4258.05910248038[/C][C]1887.12509215314[/C][C]-0.082643755255516[/C][/ROW]
[ROW][C]52[/C][C]188906[/C][C]190335.818221649[/C][C]2028.99532284567[/C][C]-1429.81822164902[/C][C]-0.444422383109327[/C][/ROW]
[ROW][C]53[/C][C]186005[/C][C]195991.271897971[/C][C]4278.53217885679[/C][C]-9986.271897971[/C][C]0.448956904681937[/C][/ROW]
[ROW][C]54[/C][C]195309[/C][C]204153.79650601[/C][C]6690.55331169134[/C][C]-8844.79650601042[/C][C]0.48074346176637[/C][/ROW]
[ROW][C]55[/C][C]223532[/C][C]210076.941439276[/C][C]6214.3869188622[/C][C]13455.0585607243[/C][C]-0.0947850942146274[/C][/ROW]
[ROW][C]56[/C][C]226899[/C][C]215171.058723992[/C][C]5520.11811844759[/C][C]11727.9412760083[/C][C]-0.138217594040503[/C][/ROW]
[ROW][C]57[/C][C]214126[/C][C]217029.405839082[/C][C]3251.52539822038[/C][C]-2903.40583908191[/C][C]-0.451886535516855[/C][/ROW]
[ROW][C]58[/C][C]206903[/C][C]214883.799169536[/C][C]-92.7381171694744[/C][C]-7980.79916953632[/C][C]-0.666379595495791[/C][/ROW]
[ROW][C]59[/C][C]204442[/C][C]213310.665913817[/C][C]-1010.2650646007[/C][C]-8868.6659138167[/C][C]-0.182874987463589[/C][/ROW]
[ROW][C]60[/C][C]220375[/C][C]217561.595167895[/C][C]2251.93151830071[/C][C]2813.40483210534[/C][C]0.650301218751216[/C][/ROW]
[ROW][C]61[/C][C]214320[/C][C]212156.014582494[/C][C]-2497.6580778006[/C][C]2163.98541750632[/C][C]-0.946444689196778[/C][/ROW]
[ROW][C]62[/C][C]212588[/C][C]208105.379468978[/C][C]-3460.18209530756[/C][C]4482.62053102215[/C][C]-0.191637979443586[/C][/ROW]
[ROW][C]63[/C][C]205816[/C][C]203063.437639888[/C][C]-4438.83384747022[/C][C]2752.56236011208[/C][C]-0.194837158824675[/C][/ROW]
[ROW][C]64[/C][C]202196[/C][C]203404.570810108[/C][C]-1484.02833993371[/C][C]-1208.57081010757[/C][C]0.588965764473686[/C][/ROW]
[ROW][C]65[/C][C]195722[/C][C]206204.151765535[/C][C]1166.2399327503[/C][C]-10482.1517655351[/C][C]0.528666137790662[/C][/ROW]
[ROW][C]66[/C][C]198563[/C][C]207629.746865737[/C][C]1326.85416587885[/C][C]-9066.74686573736[/C][C]0.0320147999893518[/C][/ROW]
[ROW][C]67[/C][C]229139[/C][C]213566.288803157[/C][C]4180.36989740567[/C][C]15572.711196843[/C][C]0.568183536881156[/C][/ROW]
[ROW][C]68[/C][C]229527[/C][C]216885.804770334[/C][C]3648.06076624843[/C][C]12641.1952296657[/C][C]-0.105972790114439[/C][/ROW]
[ROW][C]69[/C][C]211868[/C][C]214846.136836091[/C][C]133.325135065316[/C][C]-2978.13683609107[/C][C]-0.700038566080598[/C][/ROW]
[ROW][C]70[/C][C]203555[/C][C]212339.306904918[/C][C]-1498.14441994838[/C][C]-8784.30690491777[/C][C]-0.325106632455227[/C][/ROW]
[ROW][C]71[/C][C]195770[/C][C]207585.790379837[/C][C]-3510.52938433171[/C][C]-11815.7903798365[/C][C]-0.401137466304889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116549&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
1235243235243000
2230354232283.475300317-3118.98546718632-1929.47530031745-0.787770786139232
3227184226737.043058758-4667.55045327995446.956941242212-0.314224091923093
4221678221561.922420082-5005.54543250559116.077579917826-0.071999339595215
5217142216898.935455963-4777.82355696093243.0645440372230.0449541604538859
6219452217433.461776764-1312.927779504732018.538223236140.688572060871794
7256446245673.03913041918012.03438936110772.96086958083.85734568502129
8265845267933.87159681920797.4692310085-2088.871596819060.554935040690873
9248624260257.1261157882125.53403808093-11633.1261157883-3.71935122915677
10241114244536.289229718-9574.88059089592-3422.28922971804-2.33087005318605
11229245229277.411038897-13300.5565978056-32.411038896804-0.742179145405557
12231805226913.205900511-6132.79097415864891.794099489011.42785852085247
13219277220596.426578587-6252.94520354418-1319.4265785873-0.0240284551797335
14219313218258.291322507-3684.648278104731054.708677492540.520038923266318
15212610211882.273225669-5403.86472967043727.726774330758-0.33946396850086
16214771210534.651651769-2851.44995524084236.348348231290.515689148976804
17211142211986.062548644-109.067057220854-844.0625486438470.550216572046135
18211457219667.0088391534826.62660617173-8210.008839153040.97900546599519
19240048230625.9368586288692.091255207469422.06314137180.769657809871539
20240636235259.813435476129.75800313565376.18656452976-0.510881514528709
21230580236834.3429670433249.43051961296-6254.34296704321-0.573777676921273
22208795218436.564653128-10440.6554181222-9641.56465312842-2.72716790482247
23197922202030.328090383-14211.3805973328-4108.32809038303-0.751187175939356
24194596188821.104848968-13578.70132617925774.895151031650.126098282857188
25194581190553.625863171-3909.595324754634027.374136828911.932342386762
26185686184778.249522188-5089.45660868973907.750477812478-0.2354425777624
27178106178163.860071679-6046.06533564857-57.8600716789767-0.189976400953351
28172608170360.121716464-7142.23398362552247.87828353585-0.219140218164648
29167302169410.018440859-3261.32092299261-2108.018440859470.776881772309404
30168053176474.5379227293213.05582589735-8421.537922729161.28832533634249
31202300189940.0551745689617.9638937486412359.94482543161.27393816818813
32202388196887.8340236777950.656907629815500.16597632308-0.332184095681747
33182516186807.23545374-3321.57149718465-4291.23545373993-2.24587418391417
34173476180162.302467512-5400.04613149327-6686.30246751232-0.414047163981782
35166444172531.68125591-6794.52712687721-6087.68125591043-0.277821536677563
36171297169600.330112866-4380.245122491721696.669887134490.481335141427902
37169701164873.355591314-4597.105855103484827.64440868621-0.0432704221247869
38164182160991.666746623-4149.742743994883190.333253377340.089111366597111
39161914159351.935854454-2586.578087342962562.064145545660.310929178690287
40159612159043.357433323-1171.65522107888568.6425666771290.282279828668302
41151001158348.976122202-874.530947359976-7347.976122201820.0593581284609816
42158114167694.4066798145495.7522704793-9580.406679813721.26920530017726
43186530173559.3800652155725.4808413809112970.61993478450.0457091639308827
44187069175926.921392243638.6280863977511142.0786077599-0.415535207167158
45174330177636.0987662442439.16335767283-3306.09876624417-0.238959092548035
46169362176635.221022719299.840975595553-7273.22102271888-0.426228488063223
47166827174832.720507105-1007.54407215932-8005.72050710466-0.260527834256694
48178037175280.961486966-102.0608997057342756.03851303430.180519749166594
49186413179870.8754957552817.972729182156542.124504245040.582122455906605
50189226185671.8835858034673.289049617223554.116414197330.36942268709986
51191563189675.8749078474258.059102480381887.12509215314-0.082643755255516
52188906190335.8182216492028.99532284567-1429.81822164902-0.444422383109327
53186005195991.2718979714278.53217885679-9986.2718979710.448956904681937
54195309204153.796506016690.55331169134-8844.796506010420.48074346176637
55223532210076.9414392766214.386918862213455.0585607243-0.0947850942146274
56226899215171.0587239925520.1181184475911727.9412760083-0.138217594040503
57214126217029.4058390823251.52539822038-2903.40583908191-0.451886535516855
58206903214883.799169536-92.7381171694744-7980.79916953632-0.666379595495791
59204442213310.665913817-1010.2650646007-8868.6659138167-0.182874987463589
60220375217561.5951678952251.931518300712813.404832105340.650301218751216
61214320212156.014582494-2497.65807780062163.98541750632-0.946444689196778
62212588208105.379468978-3460.182095307564482.62053102215-0.191637979443586
63205816203063.437639888-4438.833847470222752.56236011208-0.194837158824675
64202196203404.570810108-1484.02833993371-1208.570810107570.588965764473686
65195722206204.1517655351166.2399327503-10482.15176553510.528666137790662
66198563207629.7468657371326.85416587885-9066.746865737360.0320147999893518
67229139213566.2888031574180.3698974056715572.7111968430.568183536881156
68229527216885.8047703343648.0607662484312641.1952296657-0.105972790114439
69211868214846.136836091133.325135065316-2978.13683609107-0.700038566080598
70203555212339.306904918-1498.14441994838-8784.30690491777-0.325106632455227
71195770207585.790379837-3510.52938433171-11815.7903798365-0.401137466304889



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')