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R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Tue, 08 Dec 2015 18:02:34 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/08/t144959779500nr4fdewqjvib4.htm/, Retrieved Thu, 16 May 2024 10:04:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285550, Retrieved Thu, 16 May 2024 10:04:21 +0000

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IsPrivate?

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Estimated Impact

100

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
- R  D  [Classical Decomposition] [classical decompo...] [2015-12-08 14:52:05] [22b6f4a061c8797aa483199554a73d13]
- RMP     [Decomposition by Loess] [Loess totaal mannen] [2015-12-08 15:45:08] [22b6f4a061c8797aa483199554a73d13]
- RMP       [Structural Time Series Models] [structural time s...] [2015-12-08 16:02:26] [22b6f4a061c8797aa483199554a73d13]
- RMPD        [Classical Decomposition] [classical decompo...] [2015-12-08 17:17:05] [22b6f4a061c8797aa483199554a73d13]
- RMP           [Decomposition by Loess] [Loess totaal vrouwen] [2015-12-08 17:53:15] [22b6f4a061c8797aa483199554a73d13]
- RMP               [Structural Time Series Models] [structural time s...] [2015-12-08 18:02:34] [20fcaaf1d4bc4a12bf87c6c50d624c14] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285550&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285550&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285550&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	276444	276444	0	0	0
2	268606	271761.441778909	-4943.33852025075	-3155.44177890863	-1.35443672396863
3	267679	265820.009563149	-5577.87338027868	1858.99043685058	-0.138521291724891
4	269879	266700.168684709	-1300.36650776991	3178.83131529126	0.984288570129027
5	265641	266121.982993082	-822.154649472936	-480.982993082203	0.101815203264806
6	262525	263245.897027077	-2155.70756522762	-720.897027076511	-0.285640174111366
7	258597	258987.963441986	-3523.86824566099	-390.963441985621	-0.294460982047659
8	253849	253985.117073458	-4488.97534552208	-136.117073458487	-0.207314705171973
9	256221	254056.695586902	-1512.11792791738	2164.3044130978	0.639326757084362
10	286895	277473.592699912	14756.8957572717	9421.40730008809	3.4943702426892
11	294610	296078.734620247	17267.7202271386	-1468.73462024689	0.539275833227889
12	280363	289892.348468773	1966.40364653834	-9529.34846877316	-3.28640096431118
13	269926	274325.408551794	-9430.51796515863	-4399.40855179371	-2.45743295382182
14	264341	265252.544939651	-9196.96384755854	-911.544939650536	0.0509895639084246
15	263269	261952.541138052	-5445.69667626152	1316.45886194849	0.798536061375183
16	271045	265533.21485342	207.529630632826	5511.78514657989	1.23118825051293
17	267915	267569.147797466	1367.5190790715	345.852202533508	0.251031361243211
18	262078	262972.798022376	-2394.92486525053	-894.798022375507	-0.804623929505365
19	257751	256454.709642924	-4982.15427583725	1296.29035707584	-0.555352293454696
20	253271	253975.075788733	-3409.35571487684	-704.075788732558	0.338111325949441
21	257638	261951.865817714	3757.54291045236	-4313.86581771368	1.53932596546203
22	287452	276995.376492452	10862.7386373253	10456.6235075485	1.52605239378179
23	298152	290899.859030608	12776.6689849908	7252.14096939168	0.411093419920909
24	284793	292343.49010309	5654.28182128037	-7550.4901030898	-1.53054434560948
25	274560	283668.056228776	-3354.15603891833	-9108.05622877646	-1.94105598378041
26	268270	273647.407851088	-7550.82972333982	-5377.40785108802	-0.902932194820925
27	267577	268865.556726746	-5821.46091225483	-1288.55672674569	0.370285011073777
28	271866	265956.039928081	-4013.61994122804	5909.96007191932	0.389623578851718
29	268546	264073.730594685	-2683.93827849927	4472.26940531488	0.287014542927734
30	264722	262243.758548405	-2150.85238646961	2478.24145159496	0.114381889469668
31	262425	261022.686608258	-1572.56584650528	1402.31339174247	0.124005611818262
32	258973	263196.448491571	756.118474479237	-4223.44849157082	0.500205664506281
33	262751	270540.440014747	4855.85928685063	-7789.44001474734	0.8806986158934
34	296186	284678.543216521	10634.9392403329	11507.4567834788	1.24124178224826
35	304659	294293.500967839	10000.1451033599	10365.4990321607	-0.136357916407213
36	295442	299157.368519869	6804.60020517121	-3715.3685198687	-0.686908794957763
37	285466	295754.827113972	449.116067127747	-10288.8271139718	-1.36723915368112
38	279575	288418.395903466	-4397.58339793148	-8843.39590346631	-1.04089985218018
39	279985	282451.732715578	-5370.43802862446	-2466.7327155782	-0.208636529327588
40	286012	279475.556458878	-3889.93899979978	6536.4435411225	0.318437184448033
41	281337	276202.131068384	-3507.86434332762	5134.86893161617	0.0822988971324856
42	276270	273022.473681214	-3304.19506017553	3247.52631878631	0.043754377323985
43	271472	270706.934560859	-2691.76197189053	765.065439141007	0.131381348729736
44	265637	271720.341454915	-399.40042139289	-6083.34145491514	0.492121193095443
45	268974	278631.402504234	4124.71718188358	-9657.40250423361	0.971756784275667
46	299299	287138.720019574	6837.91650170562	12160.2799804256	0.58283322552129
47	305452	293738.002242551	6690.18261201357	11713.9977574493	-0.0317416506375621
48	295468	296581.044446597	4307.99184716222	-1113.04444659736	-0.512053840277673
49	285584	294898.321869148	596.354426763635	-9314.32186914828	-0.797771729488339
50	278204	288789.570415134	-3555.2880999572	-10585.570415134	-0.891278131348926
51	276505	280981.831499133	-6181.74587809677	-4476.83149913316	-0.563608785992101
52	279732	273306.284347299	-7103.02907765984	6425.71565270146	-0.198037013744574
53	276980	269747.192810049	-4914.58053276751	7232.80718995119	0.470917432506723
54	271832	267527.453113784	-3248.5176345029	4304.54688621604	0.358043573472576
55	263105	263982.138345431	-3431.86026964595	-877.13834543055	-0.0393495543742892
56	256162	264032.415760332	-1283.49675229708	-7870.41576033184	0.46112801221797
57	260705	270124.171234955	3265.09115160266	-9419.17123495527	0.976862237620261
58	285857	274435.334442274	3910.34161725467	11421.665557726	0.138626232418642
59	291870	278916.17671426	4262.33550704856	12953.8232857404	0.0756434206747895
60	280358	280379.389315836	2534.53612342637	-21.3893158359492	-0.371358582388837
61	270981	278887.008962984	48.0499818112689	-7906.00896298388	-0.534211831771032

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 276444 & 276444 & 0 & 0 & 0 \tabularnewline
2 & 268606 & 271761.441778909 & -4943.33852025075 & -3155.44177890863 & -1.35443672396863 \tabularnewline
3 & 267679 & 265820.009563149 & -5577.87338027868 & 1858.99043685058 & -0.138521291724891 \tabularnewline
4 & 269879 & 266700.168684709 & -1300.36650776991 & 3178.83131529126 & 0.984288570129027 \tabularnewline
5 & 265641 & 266121.982993082 & -822.154649472936 & -480.982993082203 & 0.101815203264806 \tabularnewline
6 & 262525 & 263245.897027077 & -2155.70756522762 & -720.897027076511 & -0.285640174111366 \tabularnewline
7 & 258597 & 258987.963441986 & -3523.86824566099 & -390.963441985621 & -0.294460982047659 \tabularnewline
8 & 253849 & 253985.117073458 & -4488.97534552208 & -136.117073458487 & -0.207314705171973 \tabularnewline
9 & 256221 & 254056.695586902 & -1512.11792791738 & 2164.3044130978 & 0.639326757084362 \tabularnewline
10 & 286895 & 277473.592699912 & 14756.8957572717 & 9421.40730008809 & 3.4943702426892 \tabularnewline
11 & 294610 & 296078.734620247 & 17267.7202271386 & -1468.73462024689 & 0.539275833227889 \tabularnewline
12 & 280363 & 289892.348468773 & 1966.40364653834 & -9529.34846877316 & -3.28640096431118 \tabularnewline
13 & 269926 & 274325.408551794 & -9430.51796515863 & -4399.40855179371 & -2.45743295382182 \tabularnewline
14 & 264341 & 265252.544939651 & -9196.96384755854 & -911.544939650536 & 0.0509895639084246 \tabularnewline
15 & 263269 & 261952.541138052 & -5445.69667626152 & 1316.45886194849 & 0.798536061375183 \tabularnewline
16 & 271045 & 265533.21485342 & 207.529630632826 & 5511.78514657989 & 1.23118825051293 \tabularnewline
17 & 267915 & 267569.147797466 & 1367.5190790715 & 345.852202533508 & 0.251031361243211 \tabularnewline
18 & 262078 & 262972.798022376 & -2394.92486525053 & -894.798022375507 & -0.804623929505365 \tabularnewline
19 & 257751 & 256454.709642924 & -4982.15427583725 & 1296.29035707584 & -0.555352293454696 \tabularnewline
20 & 253271 & 253975.075788733 & -3409.35571487684 & -704.075788732558 & 0.338111325949441 \tabularnewline
21 & 257638 & 261951.865817714 & 3757.54291045236 & -4313.86581771368 & 1.53932596546203 \tabularnewline
22 & 287452 & 276995.376492452 & 10862.7386373253 & 10456.6235075485 & 1.52605239378179 \tabularnewline
23 & 298152 & 290899.859030608 & 12776.6689849908 & 7252.14096939168 & 0.411093419920909 \tabularnewline
24 & 284793 & 292343.49010309 & 5654.28182128037 & -7550.4901030898 & -1.53054434560948 \tabularnewline
25 & 274560 & 283668.056228776 & -3354.15603891833 & -9108.05622877646 & -1.94105598378041 \tabularnewline
26 & 268270 & 273647.407851088 & -7550.82972333982 & -5377.40785108802 & -0.902932194820925 \tabularnewline
27 & 267577 & 268865.556726746 & -5821.46091225483 & -1288.55672674569 & 0.370285011073777 \tabularnewline
28 & 271866 & 265956.039928081 & -4013.61994122804 & 5909.96007191932 & 0.389623578851718 \tabularnewline
29 & 268546 & 264073.730594685 & -2683.93827849927 & 4472.26940531488 & 0.287014542927734 \tabularnewline
30 & 264722 & 262243.758548405 & -2150.85238646961 & 2478.24145159496 & 0.114381889469668 \tabularnewline
31 & 262425 & 261022.686608258 & -1572.56584650528 & 1402.31339174247 & 0.124005611818262 \tabularnewline
32 & 258973 & 263196.448491571 & 756.118474479237 & -4223.44849157082 & 0.500205664506281 \tabularnewline
33 & 262751 & 270540.440014747 & 4855.85928685063 & -7789.44001474734 & 0.8806986158934 \tabularnewline
34 & 296186 & 284678.543216521 & 10634.9392403329 & 11507.4567834788 & 1.24124178224826 \tabularnewline
35 & 304659 & 294293.500967839 & 10000.1451033599 & 10365.4990321607 & -0.136357916407213 \tabularnewline
36 & 295442 & 299157.368519869 & 6804.60020517121 & -3715.3685198687 & -0.686908794957763 \tabularnewline
37 & 285466 & 295754.827113972 & 449.116067127747 & -10288.8271139718 & -1.36723915368112 \tabularnewline
38 & 279575 & 288418.395903466 & -4397.58339793148 & -8843.39590346631 & -1.04089985218018 \tabularnewline
39 & 279985 & 282451.732715578 & -5370.43802862446 & -2466.7327155782 & -0.208636529327588 \tabularnewline
40 & 286012 & 279475.556458878 & -3889.93899979978 & 6536.4435411225 & 0.318437184448033 \tabularnewline
41 & 281337 & 276202.131068384 & -3507.86434332762 & 5134.86893161617 & 0.0822988971324856 \tabularnewline
42 & 276270 & 273022.473681214 & -3304.19506017553 & 3247.52631878631 & 0.043754377323985 \tabularnewline
43 & 271472 & 270706.934560859 & -2691.76197189053 & 765.065439141007 & 0.131381348729736 \tabularnewline
44 & 265637 & 271720.341454915 & -399.40042139289 & -6083.34145491514 & 0.492121193095443 \tabularnewline
45 & 268974 & 278631.402504234 & 4124.71718188358 & -9657.40250423361 & 0.971756784275667 \tabularnewline
46 & 299299 & 287138.720019574 & 6837.91650170562 & 12160.2799804256 & 0.58283322552129 \tabularnewline
47 & 305452 & 293738.002242551 & 6690.18261201357 & 11713.9977574493 & -0.0317416506375621 \tabularnewline
48 & 295468 & 296581.044446597 & 4307.99184716222 & -1113.04444659736 & -0.512053840277673 \tabularnewline
49 & 285584 & 294898.321869148 & 596.354426763635 & -9314.32186914828 & -0.797771729488339 \tabularnewline
50 & 278204 & 288789.570415134 & -3555.2880999572 & -10585.570415134 & -0.891278131348926 \tabularnewline
51 & 276505 & 280981.831499133 & -6181.74587809677 & -4476.83149913316 & -0.563608785992101 \tabularnewline
52 & 279732 & 273306.284347299 & -7103.02907765984 & 6425.71565270146 & -0.198037013744574 \tabularnewline
53 & 276980 & 269747.192810049 & -4914.58053276751 & 7232.80718995119 & 0.470917432506723 \tabularnewline
54 & 271832 & 267527.453113784 & -3248.5176345029 & 4304.54688621604 & 0.358043573472576 \tabularnewline
55 & 263105 & 263982.138345431 & -3431.86026964595 & -877.13834543055 & -0.0393495543742892 \tabularnewline
56 & 256162 & 264032.415760332 & -1283.49675229708 & -7870.41576033184 & 0.46112801221797 \tabularnewline
57 & 260705 & 270124.171234955 & 3265.09115160266 & -9419.17123495527 & 0.976862237620261 \tabularnewline
58 & 285857 & 274435.334442274 & 3910.34161725467 & 11421.665557726 & 0.138626232418642 \tabularnewline
59 & 291870 & 278916.17671426 & 4262.33550704856 & 12953.8232857404 & 0.0756434206747895 \tabularnewline
60 & 280358 & 280379.389315836 & 2534.53612342637 & -21.3893158359492 & -0.371358582388837 \tabularnewline
61 & 270981 & 278887.008962984 & 48.0499818112689 & -7906.00896298388 & -0.534211831771032 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285550&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]276444[/C][C]276444[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]268606[/C][C]271761.441778909[/C][C]-4943.33852025075[/C][C]-3155.44177890863[/C][C]-1.35443672396863[/C][/ROW]
[ROW][C]3[/C][C]267679[/C][C]265820.009563149[/C][C]-5577.87338027868[/C][C]1858.99043685058[/C][C]-0.138521291724891[/C][/ROW]
[ROW][C]4[/C][C]269879[/C][C]266700.168684709[/C][C]-1300.36650776991[/C][C]3178.83131529126[/C][C]0.984288570129027[/C][/ROW]
[ROW][C]5[/C][C]265641[/C][C]266121.982993082[/C][C]-822.154649472936[/C][C]-480.982993082203[/C][C]0.101815203264806[/C][/ROW]
[ROW][C]6[/C][C]262525[/C][C]263245.897027077[/C][C]-2155.70756522762[/C][C]-720.897027076511[/C][C]-0.285640174111366[/C][/ROW]
[ROW][C]7[/C][C]258597[/C][C]258987.963441986[/C][C]-3523.86824566099[/C][C]-390.963441985621[/C][C]-0.294460982047659[/C][/ROW]
[ROW][C]8[/C][C]253849[/C][C]253985.117073458[/C][C]-4488.97534552208[/C][C]-136.117073458487[/C][C]-0.207314705171973[/C][/ROW]
[ROW][C]9[/C][C]256221[/C][C]254056.695586902[/C][C]-1512.11792791738[/C][C]2164.3044130978[/C][C]0.639326757084362[/C][/ROW]
[ROW][C]10[/C][C]286895[/C][C]277473.592699912[/C][C]14756.8957572717[/C][C]9421.40730008809[/C][C]3.4943702426892[/C][/ROW]
[ROW][C]11[/C][C]294610[/C][C]296078.734620247[/C][C]17267.7202271386[/C][C]-1468.73462024689[/C][C]0.539275833227889[/C][/ROW]
[ROW][C]12[/C][C]280363[/C][C]289892.348468773[/C][C]1966.40364653834[/C][C]-9529.34846877316[/C][C]-3.28640096431118[/C][/ROW]
[ROW][C]13[/C][C]269926[/C][C]274325.408551794[/C][C]-9430.51796515863[/C][C]-4399.40855179371[/C][C]-2.45743295382182[/C][/ROW]
[ROW][C]14[/C][C]264341[/C][C]265252.544939651[/C][C]-9196.96384755854[/C][C]-911.544939650536[/C][C]0.0509895639084246[/C][/ROW]
[ROW][C]15[/C][C]263269[/C][C]261952.541138052[/C][C]-5445.69667626152[/C][C]1316.45886194849[/C][C]0.798536061375183[/C][/ROW]
[ROW][C]16[/C][C]271045[/C][C]265533.21485342[/C][C]207.529630632826[/C][C]5511.78514657989[/C][C]1.23118825051293[/C][/ROW]
[ROW][C]17[/C][C]267915[/C][C]267569.147797466[/C][C]1367.5190790715[/C][C]345.852202533508[/C][C]0.251031361243211[/C][/ROW]
[ROW][C]18[/C][C]262078[/C][C]262972.798022376[/C][C]-2394.92486525053[/C][C]-894.798022375507[/C][C]-0.804623929505365[/C][/ROW]
[ROW][C]19[/C][C]257751[/C][C]256454.709642924[/C][C]-4982.15427583725[/C][C]1296.29035707584[/C][C]-0.555352293454696[/C][/ROW]
[ROW][C]20[/C][C]253271[/C][C]253975.075788733[/C][C]-3409.35571487684[/C][C]-704.075788732558[/C][C]0.338111325949441[/C][/ROW]
[ROW][C]21[/C][C]257638[/C][C]261951.865817714[/C][C]3757.54291045236[/C][C]-4313.86581771368[/C][C]1.53932596546203[/C][/ROW]
[ROW][C]22[/C][C]287452[/C][C]276995.376492452[/C][C]10862.7386373253[/C][C]10456.6235075485[/C][C]1.52605239378179[/C][/ROW]
[ROW][C]23[/C][C]298152[/C][C]290899.859030608[/C][C]12776.6689849908[/C][C]7252.14096939168[/C][C]0.411093419920909[/C][/ROW]
[ROW][C]24[/C][C]284793[/C][C]292343.49010309[/C][C]5654.28182128037[/C][C]-7550.4901030898[/C][C]-1.53054434560948[/C][/ROW]
[ROW][C]25[/C][C]274560[/C][C]283668.056228776[/C][C]-3354.15603891833[/C][C]-9108.05622877646[/C][C]-1.94105598378041[/C][/ROW]
[ROW][C]26[/C][C]268270[/C][C]273647.407851088[/C][C]-7550.82972333982[/C][C]-5377.40785108802[/C][C]-0.902932194820925[/C][/ROW]
[ROW][C]27[/C][C]267577[/C][C]268865.556726746[/C][C]-5821.46091225483[/C][C]-1288.55672674569[/C][C]0.370285011073777[/C][/ROW]
[ROW][C]28[/C][C]271866[/C][C]265956.039928081[/C][C]-4013.61994122804[/C][C]5909.96007191932[/C][C]0.389623578851718[/C][/ROW]
[ROW][C]29[/C][C]268546[/C][C]264073.730594685[/C][C]-2683.93827849927[/C][C]4472.26940531488[/C][C]0.287014542927734[/C][/ROW]
[ROW][C]30[/C][C]264722[/C][C]262243.758548405[/C][C]-2150.85238646961[/C][C]2478.24145159496[/C][C]0.114381889469668[/C][/ROW]
[ROW][C]31[/C][C]262425[/C][C]261022.686608258[/C][C]-1572.56584650528[/C][C]1402.31339174247[/C][C]0.124005611818262[/C][/ROW]
[ROW][C]32[/C][C]258973[/C][C]263196.448491571[/C][C]756.118474479237[/C][C]-4223.44849157082[/C][C]0.500205664506281[/C][/ROW]
[ROW][C]33[/C][C]262751[/C][C]270540.440014747[/C][C]4855.85928685063[/C][C]-7789.44001474734[/C][C]0.8806986158934[/C][/ROW]
[ROW][C]34[/C][C]296186[/C][C]284678.543216521[/C][C]10634.9392403329[/C][C]11507.4567834788[/C][C]1.24124178224826[/C][/ROW]
[ROW][C]35[/C][C]304659[/C][C]294293.500967839[/C][C]10000.1451033599[/C][C]10365.4990321607[/C][C]-0.136357916407213[/C][/ROW]
[ROW][C]36[/C][C]295442[/C][C]299157.368519869[/C][C]6804.60020517121[/C][C]-3715.3685198687[/C][C]-0.686908794957763[/C][/ROW]
[ROW][C]37[/C][C]285466[/C][C]295754.827113972[/C][C]449.116067127747[/C][C]-10288.8271139718[/C][C]-1.36723915368112[/C][/ROW]
[ROW][C]38[/C][C]279575[/C][C]288418.395903466[/C][C]-4397.58339793148[/C][C]-8843.39590346631[/C][C]-1.04089985218018[/C][/ROW]
[ROW][C]39[/C][C]279985[/C][C]282451.732715578[/C][C]-5370.43802862446[/C][C]-2466.7327155782[/C][C]-0.208636529327588[/C][/ROW]
[ROW][C]40[/C][C]286012[/C][C]279475.556458878[/C][C]-3889.93899979978[/C][C]6536.4435411225[/C][C]0.318437184448033[/C][/ROW]
[ROW][C]41[/C][C]281337[/C][C]276202.131068384[/C][C]-3507.86434332762[/C][C]5134.86893161617[/C][C]0.0822988971324856[/C][/ROW]
[ROW][C]42[/C][C]276270[/C][C]273022.473681214[/C][C]-3304.19506017553[/C][C]3247.52631878631[/C][C]0.043754377323985[/C][/ROW]
[ROW][C]43[/C][C]271472[/C][C]270706.934560859[/C][C]-2691.76197189053[/C][C]765.065439141007[/C][C]0.131381348729736[/C][/ROW]
[ROW][C]44[/C][C]265637[/C][C]271720.341454915[/C][C]-399.40042139289[/C][C]-6083.34145491514[/C][C]0.492121193095443[/C][/ROW]
[ROW][C]45[/C][C]268974[/C][C]278631.402504234[/C][C]4124.71718188358[/C][C]-9657.40250423361[/C][C]0.971756784275667[/C][/ROW]
[ROW][C]46[/C][C]299299[/C][C]287138.720019574[/C][C]6837.91650170562[/C][C]12160.2799804256[/C][C]0.58283322552129[/C][/ROW]
[ROW][C]47[/C][C]305452[/C][C]293738.002242551[/C][C]6690.18261201357[/C][C]11713.9977574493[/C][C]-0.0317416506375621[/C][/ROW]
[ROW][C]48[/C][C]295468[/C][C]296581.044446597[/C][C]4307.99184716222[/C][C]-1113.04444659736[/C][C]-0.512053840277673[/C][/ROW]
[ROW][C]49[/C][C]285584[/C][C]294898.321869148[/C][C]596.354426763635[/C][C]-9314.32186914828[/C][C]-0.797771729488339[/C][/ROW]
[ROW][C]50[/C][C]278204[/C][C]288789.570415134[/C][C]-3555.2880999572[/C][C]-10585.570415134[/C][C]-0.891278131348926[/C][/ROW]
[ROW][C]51[/C][C]276505[/C][C]280981.831499133[/C][C]-6181.74587809677[/C][C]-4476.83149913316[/C][C]-0.563608785992101[/C][/ROW]
[ROW][C]52[/C][C]279732[/C][C]273306.284347299[/C][C]-7103.02907765984[/C][C]6425.71565270146[/C][C]-0.198037013744574[/C][/ROW]
[ROW][C]53[/C][C]276980[/C][C]269747.192810049[/C][C]-4914.58053276751[/C][C]7232.80718995119[/C][C]0.470917432506723[/C][/ROW]
[ROW][C]54[/C][C]271832[/C][C]267527.453113784[/C][C]-3248.5176345029[/C][C]4304.54688621604[/C][C]0.358043573472576[/C][/ROW]
[ROW][C]55[/C][C]263105[/C][C]263982.138345431[/C][C]-3431.86026964595[/C][C]-877.13834543055[/C][C]-0.0393495543742892[/C][/ROW]
[ROW][C]56[/C][C]256162[/C][C]264032.415760332[/C][C]-1283.49675229708[/C][C]-7870.41576033184[/C][C]0.46112801221797[/C][/ROW]
[ROW][C]57[/C][C]260705[/C][C]270124.171234955[/C][C]3265.09115160266[/C][C]-9419.17123495527[/C][C]0.976862237620261[/C][/ROW]
[ROW][C]58[/C][C]285857[/C][C]274435.334442274[/C][C]3910.34161725467[/C][C]11421.665557726[/C][C]0.138626232418642[/C][/ROW]
[ROW][C]59[/C][C]291870[/C][C]278916.17671426[/C][C]4262.33550704856[/C][C]12953.8232857404[/C][C]0.0756434206747895[/C][/ROW]
[ROW][C]60[/C][C]280358[/C][C]280379.389315836[/C][C]2534.53612342637[/C][C]-21.3893158359492[/C][C]-0.371358582388837[/C][/ROW]
[ROW][C]61[/C][C]270981[/C][C]278887.008962984[/C][C]48.0499818112689[/C][C]-7906.00896298388[/C][C]-0.534211831771032[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285550&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285550&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	276444	276444	0	0	0
2	268606	271761.441778909	-4943.33852025075	-3155.44177890863	-1.35443672396863
3	267679	265820.009563149	-5577.87338027868	1858.99043685058	-0.138521291724891
4	269879	266700.168684709	-1300.36650776991	3178.83131529126	0.984288570129027
5	265641	266121.982993082	-822.154649472936	-480.982993082203	0.101815203264806
6	262525	263245.897027077	-2155.70756522762	-720.897027076511	-0.285640174111366
7	258597	258987.963441986	-3523.86824566099	-390.963441985621	-0.294460982047659
8	253849	253985.117073458	-4488.97534552208	-136.117073458487	-0.207314705171973
9	256221	254056.695586902	-1512.11792791738	2164.3044130978	0.639326757084362
10	286895	277473.592699912	14756.8957572717	9421.40730008809	3.4943702426892
11	294610	296078.734620247	17267.7202271386	-1468.73462024689	0.539275833227889
12	280363	289892.348468773	1966.40364653834	-9529.34846877316	-3.28640096431118
13	269926	274325.408551794	-9430.51796515863	-4399.40855179371	-2.45743295382182
14	264341	265252.544939651	-9196.96384755854	-911.544939650536	0.0509895639084246
15	263269	261952.541138052	-5445.69667626152	1316.45886194849	0.798536061375183
16	271045	265533.21485342	207.529630632826	5511.78514657989	1.23118825051293
17	267915	267569.147797466	1367.5190790715	345.852202533508	0.251031361243211
18	262078	262972.798022376	-2394.92486525053	-894.798022375507	-0.804623929505365
19	257751	256454.709642924	-4982.15427583725	1296.29035707584	-0.555352293454696
20	253271	253975.075788733	-3409.35571487684	-704.075788732558	0.338111325949441
21	257638	261951.865817714	3757.54291045236	-4313.86581771368	1.53932596546203
22	287452	276995.376492452	10862.7386373253	10456.6235075485	1.52605239378179
23	298152	290899.859030608	12776.6689849908	7252.14096939168	0.411093419920909
24	284793	292343.49010309	5654.28182128037	-7550.4901030898	-1.53054434560948
25	274560	283668.056228776	-3354.15603891833	-9108.05622877646	-1.94105598378041
26	268270	273647.407851088	-7550.82972333982	-5377.40785108802	-0.902932194820925
27	267577	268865.556726746	-5821.46091225483	-1288.55672674569	0.370285011073777
28	271866	265956.039928081	-4013.61994122804	5909.96007191932	0.389623578851718
29	268546	264073.730594685	-2683.93827849927	4472.26940531488	0.287014542927734
30	264722	262243.758548405	-2150.85238646961	2478.24145159496	0.114381889469668
31	262425	261022.686608258	-1572.56584650528	1402.31339174247	0.124005611818262
32	258973	263196.448491571	756.118474479237	-4223.44849157082	0.500205664506281
33	262751	270540.440014747	4855.85928685063	-7789.44001474734	0.8806986158934
34	296186	284678.543216521	10634.9392403329	11507.4567834788	1.24124178224826
35	304659	294293.500967839	10000.1451033599	10365.4990321607	-0.136357916407213
36	295442	299157.368519869	6804.60020517121	-3715.3685198687	-0.686908794957763
37	285466	295754.827113972	449.116067127747	-10288.8271139718	-1.36723915368112
38	279575	288418.395903466	-4397.58339793148	-8843.39590346631	-1.04089985218018
39	279985	282451.732715578	-5370.43802862446	-2466.7327155782	-0.208636529327588
40	286012	279475.556458878	-3889.93899979978	6536.4435411225	0.318437184448033
41	281337	276202.131068384	-3507.86434332762	5134.86893161617	0.0822988971324856
42	276270	273022.473681214	-3304.19506017553	3247.52631878631	0.043754377323985
43	271472	270706.934560859	-2691.76197189053	765.065439141007	0.131381348729736
44	265637	271720.341454915	-399.40042139289	-6083.34145491514	0.492121193095443
45	268974	278631.402504234	4124.71718188358	-9657.40250423361	0.971756784275667
46	299299	287138.720019574	6837.91650170562	12160.2799804256	0.58283322552129
47	305452	293738.002242551	6690.18261201357	11713.9977574493	-0.0317416506375621
48	295468	296581.044446597	4307.99184716222	-1113.04444659736	-0.512053840277673
49	285584	294898.321869148	596.354426763635	-9314.32186914828	-0.797771729488339
50	278204	288789.570415134	-3555.2880999572	-10585.570415134	-0.891278131348926
51	276505	280981.831499133	-6181.74587809677	-4476.83149913316	-0.563608785992101
52	279732	273306.284347299	-7103.02907765984	6425.71565270146	-0.198037013744574
53	276980	269747.192810049	-4914.58053276751	7232.80718995119	0.470917432506723
54	271832	267527.453113784	-3248.5176345029	4304.54688621604	0.358043573472576
55	263105	263982.138345431	-3431.86026964595	-877.13834543055	-0.0393495543742892
56	256162	264032.415760332	-1283.49675229708	-7870.41576033184	0.46112801221797
57	260705	270124.171234955	3265.09115160266	-9419.17123495527	0.976862237620261
58	285857	274435.334442274	3910.34161725467	11421.665557726	0.138626232418642
59	291870	278916.17671426	4262.33550704856	12953.8232857404	0.0756434206747895
60	280358	280379.389315836	2534.53612342637	-21.3893158359492	-0.371358582388837
61	270981	278887.008962984	48.0499818112689	-7906.00896298388	-0.534211831771032

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code