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Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationThu, 22 Dec 2016 19:27:38 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/22/t14824313119ucgknplfybl8cl.htm/, Retrieved Sun, 28 Apr 2024 19:35:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302612, Retrieved Sun, 28 Apr 2024 19:35:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [Correlation matrices] [2016-12-21 16:26:17] [b011e1d1c3fc908d73f0b66878a70c1c]
- RMPD    [Decomposition by Loess] [Decomposition by ...] [2016-12-22 18:27:38] [0fd57913e31aa45e4c342a705351a504] [Current]
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Dataseries X:
3233.7
3097.3
3216.8
3729.6
3447.7
3384.3
3494.7
3904.2
3605.2
3674.6
3751.1
4039.5
3885.9
3906.1
3965
4411.6
4325.1
4349.2
4426.1
4915
4506.9
4497.4
4546.5
5122
4471.3
4560.6
4581.6
5186.2
4719.8
4784.1
4778.6
5494.8
4966.8
5188.2
5135.4
5690.4
5293.5
5673.8
5568.9
6094.2
5712.7
5858.7
5814.6
6616.6




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302612&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302612&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302612&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 Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal441045
Trend711
Low-pass511

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 441 & 0 & 45 \tabularnewline
Trend & 7 & 1 & 1 \tabularnewline
Low-pass & 5 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302612&T=1

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Parameters[/C][/ROW]
[ROW][C]Component[/C][C]Window[/C][C]Degree[/C][C]Jump[/C][/ROW]
[ROW][C]Seasonal[/C][C]441[/C][C]0[/C][C]45[/C][/ROW]
[ROW][C]Trend[/C][C]7[/C][C]1[/C][C]1[/C][/ROW]
[ROW][C]Low-pass[/C][C]5[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302612&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302612&T=1

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal441045
Trend711
Low-pass511







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
13233.73318.10362111935-110.5797084315163259.8760873121784.4036211193506
23097.32992.82576000437-103.9311321751793305.7053721708-104.474239995625
33216.83209.16095863122-129.1447717186833353.58381308747-7.63904136878318
43729.63703.91779483294343.6560360852363411.62616908183-25.6822051670629
53447.73524.528594171-110.5797084315163481.4511142605276.8285941710001
63384.33334.57022728492-103.9311321751793537.96090489026-49.729772715079
73494.73543.06019566691-129.1447717186833575.4845760517748.3601956669136
83904.23833.59501223269343.6560360852363631.14895168208-70.6049877673117
93605.23621.65456265516-110.5797084315163699.3251457763616.4545626551576
103674.63694.69429131604-103.9311321751793758.4368408591420.0942913160361
113751.13829.28106925677-129.1447717186833802.0637024619178.1810692567738
124039.53875.43468314364343.6560360852363859.90928077112-164.065316856361
133885.93961.36212103456-110.5797084315163921.0175873969675.4621210345599
143906.13913.65009220561-103.9311321751794002.481039969577.55009220561124
1539653968.8827463836-129.1447717186834090.262025335083.88274638360099
164411.64277.85514847642343.6560360852364201.68881543834-133.744851523576
174325.14437.1166766278-110.5797084315164323.66303180372112.016676627797
184349.24354.20561447864-103.9311321751794448.125517696545.00561447864311
194426.14453.88885949427-129.1447717186834527.4559122244227.788859494266
2049154916.12626658881343.6560360852364570.217697325951.1262665888089
214506.94523.27588117877-110.5797084315164601.1038272527416.3758811787748
224497.44459.49621472055-103.9311321751794639.23491745463-37.9037852794545
234546.54554.42348193348-129.1447717186834667.721289785217.9234819334788
2451225227.79931459485343.6560360852364672.54464931991105.799314594853
254471.34377.46362131536-110.5797084315164675.71608711616-93.836378684643
264560.64540.74370962789-103.9311321751794684.38742254729-19.8562903721113
274581.64560.58055123862-129.1447717186834731.76422048006-21.019448761379
285186.25236.36971355563343.6560360852364792.3742503591350.1697135556333
294719.84706.12942805734-110.5797084315164844.05028037418-13.67057194266
304784.14772.05227407267-103.9311321751794900.07885810251-12.0477259273293
314778.64712.01825158836-129.1447717186834974.32652013033-66.5817484116442
325494.85588.33511638204343.6560360852365057.6088475327393.535116382036
334966.84891.07468573509-110.5797084315165153.10502269642-75.725314264906
345188.25258.97387368732-103.9311321751795221.3572584878670.7738736873198
355135.45112.01814469406-129.1447717186835287.92662702462-23.38185530594
365690.45659.11669209657343.6560360852365378.02727181819-31.2833079034308
375293.55196.94978747511-110.5797084315165500.62992095641-96.5502125248913
385673.85835.87127771763-103.9311321751795615.65985445755162.071277717632
395568.95551.89167162971-129.1447717186835715.05310008897-17.0083283702897
406094.26065.07109140973343.6560360852365779.67287250503-29.1289085902681
415712.75696.09787800455-110.5797084315165839.88183042697-16.6021219954519
425858.75875.49106238716-103.9311321751795945.8400697880216.7910623871594
435814.65693.07009278925-129.1447717186836065.27467892944-121.529907210752
446616.66703.21334468074343.6560360852366186.3306192340286.6133446807398

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 3233.7 & 3318.10362111935 & -110.579708431516 & 3259.87608731217 & 84.4036211193506 \tabularnewline
2 & 3097.3 & 2992.82576000437 & -103.931132175179 & 3305.7053721708 & -104.474239995625 \tabularnewline
3 & 3216.8 & 3209.16095863122 & -129.144771718683 & 3353.58381308747 & -7.63904136878318 \tabularnewline
4 & 3729.6 & 3703.91779483294 & 343.656036085236 & 3411.62616908183 & -25.6822051670629 \tabularnewline
5 & 3447.7 & 3524.528594171 & -110.579708431516 & 3481.45111426052 & 76.8285941710001 \tabularnewline
6 & 3384.3 & 3334.57022728492 & -103.931132175179 & 3537.96090489026 & -49.729772715079 \tabularnewline
7 & 3494.7 & 3543.06019566691 & -129.144771718683 & 3575.48457605177 & 48.3601956669136 \tabularnewline
8 & 3904.2 & 3833.59501223269 & 343.656036085236 & 3631.14895168208 & -70.6049877673117 \tabularnewline
9 & 3605.2 & 3621.65456265516 & -110.579708431516 & 3699.32514577636 & 16.4545626551576 \tabularnewline
10 & 3674.6 & 3694.69429131604 & -103.931132175179 & 3758.43684085914 & 20.0942913160361 \tabularnewline
11 & 3751.1 & 3829.28106925677 & -129.144771718683 & 3802.06370246191 & 78.1810692567738 \tabularnewline
12 & 4039.5 & 3875.43468314364 & 343.656036085236 & 3859.90928077112 & -164.065316856361 \tabularnewline
13 & 3885.9 & 3961.36212103456 & -110.579708431516 & 3921.01758739696 & 75.4621210345599 \tabularnewline
14 & 3906.1 & 3913.65009220561 & -103.931132175179 & 4002.48103996957 & 7.55009220561124 \tabularnewline
15 & 3965 & 3968.8827463836 & -129.144771718683 & 4090.26202533508 & 3.88274638360099 \tabularnewline
16 & 4411.6 & 4277.85514847642 & 343.656036085236 & 4201.68881543834 & -133.744851523576 \tabularnewline
17 & 4325.1 & 4437.1166766278 & -110.579708431516 & 4323.66303180372 & 112.016676627797 \tabularnewline
18 & 4349.2 & 4354.20561447864 & -103.931132175179 & 4448.12551769654 & 5.00561447864311 \tabularnewline
19 & 4426.1 & 4453.88885949427 & -129.144771718683 & 4527.45591222442 & 27.788859494266 \tabularnewline
20 & 4915 & 4916.12626658881 & 343.656036085236 & 4570.21769732595 & 1.1262665888089 \tabularnewline
21 & 4506.9 & 4523.27588117877 & -110.579708431516 & 4601.10382725274 & 16.3758811787748 \tabularnewline
22 & 4497.4 & 4459.49621472055 & -103.931132175179 & 4639.23491745463 & -37.9037852794545 \tabularnewline
23 & 4546.5 & 4554.42348193348 & -129.144771718683 & 4667.72128978521 & 7.9234819334788 \tabularnewline
24 & 5122 & 5227.79931459485 & 343.656036085236 & 4672.54464931991 & 105.799314594853 \tabularnewline
25 & 4471.3 & 4377.46362131536 & -110.579708431516 & 4675.71608711616 & -93.836378684643 \tabularnewline
26 & 4560.6 & 4540.74370962789 & -103.931132175179 & 4684.38742254729 & -19.8562903721113 \tabularnewline
27 & 4581.6 & 4560.58055123862 & -129.144771718683 & 4731.76422048006 & -21.019448761379 \tabularnewline
28 & 5186.2 & 5236.36971355563 & 343.656036085236 & 4792.37425035913 & 50.1697135556333 \tabularnewline
29 & 4719.8 & 4706.12942805734 & -110.579708431516 & 4844.05028037418 & -13.67057194266 \tabularnewline
30 & 4784.1 & 4772.05227407267 & -103.931132175179 & 4900.07885810251 & -12.0477259273293 \tabularnewline
31 & 4778.6 & 4712.01825158836 & -129.144771718683 & 4974.32652013033 & -66.5817484116442 \tabularnewline
32 & 5494.8 & 5588.33511638204 & 343.656036085236 & 5057.60884753273 & 93.535116382036 \tabularnewline
33 & 4966.8 & 4891.07468573509 & -110.579708431516 & 5153.10502269642 & -75.725314264906 \tabularnewline
34 & 5188.2 & 5258.97387368732 & -103.931132175179 & 5221.35725848786 & 70.7738736873198 \tabularnewline
35 & 5135.4 & 5112.01814469406 & -129.144771718683 & 5287.92662702462 & -23.38185530594 \tabularnewline
36 & 5690.4 & 5659.11669209657 & 343.656036085236 & 5378.02727181819 & -31.2833079034308 \tabularnewline
37 & 5293.5 & 5196.94978747511 & -110.579708431516 & 5500.62992095641 & -96.5502125248913 \tabularnewline
38 & 5673.8 & 5835.87127771763 & -103.931132175179 & 5615.65985445755 & 162.071277717632 \tabularnewline
39 & 5568.9 & 5551.89167162971 & -129.144771718683 & 5715.05310008897 & -17.0083283702897 \tabularnewline
40 & 6094.2 & 6065.07109140973 & 343.656036085236 & 5779.67287250503 & -29.1289085902681 \tabularnewline
41 & 5712.7 & 5696.09787800455 & -110.579708431516 & 5839.88183042697 & -16.6021219954519 \tabularnewline
42 & 5858.7 & 5875.49106238716 & -103.931132175179 & 5945.84006978802 & 16.7910623871594 \tabularnewline
43 & 5814.6 & 5693.07009278925 & -129.144771718683 & 6065.27467892944 & -121.529907210752 \tabularnewline
44 & 6616.6 & 6703.21334468074 & 343.656036085236 & 6186.33061923402 & 86.6133446807398 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302612&T=2

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Time Series Components[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Seasonal[/C][C]Trend[/C][C]Remainder[/C][/ROW]
[ROW][C]1[/C][C]3233.7[/C][C]3318.10362111935[/C][C]-110.579708431516[/C][C]3259.87608731217[/C][C]84.4036211193506[/C][/ROW]
[ROW][C]2[/C][C]3097.3[/C][C]2992.82576000437[/C][C]-103.931132175179[/C][C]3305.7053721708[/C][C]-104.474239995625[/C][/ROW]
[ROW][C]3[/C][C]3216.8[/C][C]3209.16095863122[/C][C]-129.144771718683[/C][C]3353.58381308747[/C][C]-7.63904136878318[/C][/ROW]
[ROW][C]4[/C][C]3729.6[/C][C]3703.91779483294[/C][C]343.656036085236[/C][C]3411.62616908183[/C][C]-25.6822051670629[/C][/ROW]
[ROW][C]5[/C][C]3447.7[/C][C]3524.528594171[/C][C]-110.579708431516[/C][C]3481.45111426052[/C][C]76.8285941710001[/C][/ROW]
[ROW][C]6[/C][C]3384.3[/C][C]3334.57022728492[/C][C]-103.931132175179[/C][C]3537.96090489026[/C][C]-49.729772715079[/C][/ROW]
[ROW][C]7[/C][C]3494.7[/C][C]3543.06019566691[/C][C]-129.144771718683[/C][C]3575.48457605177[/C][C]48.3601956669136[/C][/ROW]
[ROW][C]8[/C][C]3904.2[/C][C]3833.59501223269[/C][C]343.656036085236[/C][C]3631.14895168208[/C][C]-70.6049877673117[/C][/ROW]
[ROW][C]9[/C][C]3605.2[/C][C]3621.65456265516[/C][C]-110.579708431516[/C][C]3699.32514577636[/C][C]16.4545626551576[/C][/ROW]
[ROW][C]10[/C][C]3674.6[/C][C]3694.69429131604[/C][C]-103.931132175179[/C][C]3758.43684085914[/C][C]20.0942913160361[/C][/ROW]
[ROW][C]11[/C][C]3751.1[/C][C]3829.28106925677[/C][C]-129.144771718683[/C][C]3802.06370246191[/C][C]78.1810692567738[/C][/ROW]
[ROW][C]12[/C][C]4039.5[/C][C]3875.43468314364[/C][C]343.656036085236[/C][C]3859.90928077112[/C][C]-164.065316856361[/C][/ROW]
[ROW][C]13[/C][C]3885.9[/C][C]3961.36212103456[/C][C]-110.579708431516[/C][C]3921.01758739696[/C][C]75.4621210345599[/C][/ROW]
[ROW][C]14[/C][C]3906.1[/C][C]3913.65009220561[/C][C]-103.931132175179[/C][C]4002.48103996957[/C][C]7.55009220561124[/C][/ROW]
[ROW][C]15[/C][C]3965[/C][C]3968.8827463836[/C][C]-129.144771718683[/C][C]4090.26202533508[/C][C]3.88274638360099[/C][/ROW]
[ROW][C]16[/C][C]4411.6[/C][C]4277.85514847642[/C][C]343.656036085236[/C][C]4201.68881543834[/C][C]-133.744851523576[/C][/ROW]
[ROW][C]17[/C][C]4325.1[/C][C]4437.1166766278[/C][C]-110.579708431516[/C][C]4323.66303180372[/C][C]112.016676627797[/C][/ROW]
[ROW][C]18[/C][C]4349.2[/C][C]4354.20561447864[/C][C]-103.931132175179[/C][C]4448.12551769654[/C][C]5.00561447864311[/C][/ROW]
[ROW][C]19[/C][C]4426.1[/C][C]4453.88885949427[/C][C]-129.144771718683[/C][C]4527.45591222442[/C][C]27.788859494266[/C][/ROW]
[ROW][C]20[/C][C]4915[/C][C]4916.12626658881[/C][C]343.656036085236[/C][C]4570.21769732595[/C][C]1.1262665888089[/C][/ROW]
[ROW][C]21[/C][C]4506.9[/C][C]4523.27588117877[/C][C]-110.579708431516[/C][C]4601.10382725274[/C][C]16.3758811787748[/C][/ROW]
[ROW][C]22[/C][C]4497.4[/C][C]4459.49621472055[/C][C]-103.931132175179[/C][C]4639.23491745463[/C][C]-37.9037852794545[/C][/ROW]
[ROW][C]23[/C][C]4546.5[/C][C]4554.42348193348[/C][C]-129.144771718683[/C][C]4667.72128978521[/C][C]7.9234819334788[/C][/ROW]
[ROW][C]24[/C][C]5122[/C][C]5227.79931459485[/C][C]343.656036085236[/C][C]4672.54464931991[/C][C]105.799314594853[/C][/ROW]
[ROW][C]25[/C][C]4471.3[/C][C]4377.46362131536[/C][C]-110.579708431516[/C][C]4675.71608711616[/C][C]-93.836378684643[/C][/ROW]
[ROW][C]26[/C][C]4560.6[/C][C]4540.74370962789[/C][C]-103.931132175179[/C][C]4684.38742254729[/C][C]-19.8562903721113[/C][/ROW]
[ROW][C]27[/C][C]4581.6[/C][C]4560.58055123862[/C][C]-129.144771718683[/C][C]4731.76422048006[/C][C]-21.019448761379[/C][/ROW]
[ROW][C]28[/C][C]5186.2[/C][C]5236.36971355563[/C][C]343.656036085236[/C][C]4792.37425035913[/C][C]50.1697135556333[/C][/ROW]
[ROW][C]29[/C][C]4719.8[/C][C]4706.12942805734[/C][C]-110.579708431516[/C][C]4844.05028037418[/C][C]-13.67057194266[/C][/ROW]
[ROW][C]30[/C][C]4784.1[/C][C]4772.05227407267[/C][C]-103.931132175179[/C][C]4900.07885810251[/C][C]-12.0477259273293[/C][/ROW]
[ROW][C]31[/C][C]4778.6[/C][C]4712.01825158836[/C][C]-129.144771718683[/C][C]4974.32652013033[/C][C]-66.5817484116442[/C][/ROW]
[ROW][C]32[/C][C]5494.8[/C][C]5588.33511638204[/C][C]343.656036085236[/C][C]5057.60884753273[/C][C]93.535116382036[/C][/ROW]
[ROW][C]33[/C][C]4966.8[/C][C]4891.07468573509[/C][C]-110.579708431516[/C][C]5153.10502269642[/C][C]-75.725314264906[/C][/ROW]
[ROW][C]34[/C][C]5188.2[/C][C]5258.97387368732[/C][C]-103.931132175179[/C][C]5221.35725848786[/C][C]70.7738736873198[/C][/ROW]
[ROW][C]35[/C][C]5135.4[/C][C]5112.01814469406[/C][C]-129.144771718683[/C][C]5287.92662702462[/C][C]-23.38185530594[/C][/ROW]
[ROW][C]36[/C][C]5690.4[/C][C]5659.11669209657[/C][C]343.656036085236[/C][C]5378.02727181819[/C][C]-31.2833079034308[/C][/ROW]
[ROW][C]37[/C][C]5293.5[/C][C]5196.94978747511[/C][C]-110.579708431516[/C][C]5500.62992095641[/C][C]-96.5502125248913[/C][/ROW]
[ROW][C]38[/C][C]5673.8[/C][C]5835.87127771763[/C][C]-103.931132175179[/C][C]5615.65985445755[/C][C]162.071277717632[/C][/ROW]
[ROW][C]39[/C][C]5568.9[/C][C]5551.89167162971[/C][C]-129.144771718683[/C][C]5715.05310008897[/C][C]-17.0083283702897[/C][/ROW]
[ROW][C]40[/C][C]6094.2[/C][C]6065.07109140973[/C][C]343.656036085236[/C][C]5779.67287250503[/C][C]-29.1289085902681[/C][/ROW]
[ROW][C]41[/C][C]5712.7[/C][C]5696.09787800455[/C][C]-110.579708431516[/C][C]5839.88183042697[/C][C]-16.6021219954519[/C][/ROW]
[ROW][C]42[/C][C]5858.7[/C][C]5875.49106238716[/C][C]-103.931132175179[/C][C]5945.84006978802[/C][C]16.7910623871594[/C][/ROW]
[ROW][C]43[/C][C]5814.6[/C][C]5693.07009278925[/C][C]-129.144771718683[/C][C]6065.27467892944[/C][C]-121.529907210752[/C][/ROW]
[ROW][C]44[/C][C]6616.6[/C][C]6703.21334468074[/C][C]343.656036085236[/C][C]6186.33061923402[/C][C]86.6133446807398[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302612&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302612&T=2

As an alternative you can also use a QR Code:  

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

Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
13233.73318.10362111935-110.5797084315163259.8760873121784.4036211193506
23097.32992.82576000437-103.9311321751793305.7053721708-104.474239995625
33216.83209.16095863122-129.1447717186833353.58381308747-7.63904136878318
43729.63703.91779483294343.6560360852363411.62616908183-25.6822051670629
53447.73524.528594171-110.5797084315163481.4511142605276.8285941710001
63384.33334.57022728492-103.9311321751793537.96090489026-49.729772715079
73494.73543.06019566691-129.1447717186833575.4845760517748.3601956669136
83904.23833.59501223269343.6560360852363631.14895168208-70.6049877673117
93605.23621.65456265516-110.5797084315163699.3251457763616.4545626551576
103674.63694.69429131604-103.9311321751793758.4368408591420.0942913160361
113751.13829.28106925677-129.1447717186833802.0637024619178.1810692567738
124039.53875.43468314364343.6560360852363859.90928077112-164.065316856361
133885.93961.36212103456-110.5797084315163921.0175873969675.4621210345599
143906.13913.65009220561-103.9311321751794002.481039969577.55009220561124
1539653968.8827463836-129.1447717186834090.262025335083.88274638360099
164411.64277.85514847642343.6560360852364201.68881543834-133.744851523576
174325.14437.1166766278-110.5797084315164323.66303180372112.016676627797
184349.24354.20561447864-103.9311321751794448.125517696545.00561447864311
194426.14453.88885949427-129.1447717186834527.4559122244227.788859494266
2049154916.12626658881343.6560360852364570.217697325951.1262665888089
214506.94523.27588117877-110.5797084315164601.1038272527416.3758811787748
224497.44459.49621472055-103.9311321751794639.23491745463-37.9037852794545
234546.54554.42348193348-129.1447717186834667.721289785217.9234819334788
2451225227.79931459485343.6560360852364672.54464931991105.799314594853
254471.34377.46362131536-110.5797084315164675.71608711616-93.836378684643
264560.64540.74370962789-103.9311321751794684.38742254729-19.8562903721113
274581.64560.58055123862-129.1447717186834731.76422048006-21.019448761379
285186.25236.36971355563343.6560360852364792.3742503591350.1697135556333
294719.84706.12942805734-110.5797084315164844.05028037418-13.67057194266
304784.14772.05227407267-103.9311321751794900.07885810251-12.0477259273293
314778.64712.01825158836-129.1447717186834974.32652013033-66.5817484116442
325494.85588.33511638204343.6560360852365057.6088475327393.535116382036
334966.84891.07468573509-110.5797084315165153.10502269642-75.725314264906
345188.25258.97387368732-103.9311321751795221.3572584878670.7738736873198
355135.45112.01814469406-129.1447717186835287.92662702462-23.38185530594
365690.45659.11669209657343.6560360852365378.02727181819-31.2833079034308
375293.55196.94978747511-110.5797084315165500.62992095641-96.5502125248913
385673.85835.87127771763-103.9311321751795615.65985445755162.071277717632
395568.95551.89167162971-129.1447717186835715.05310008897-17.0083283702897
406094.26065.07109140973343.6560360852365779.67287250503-29.1289085902681
415712.75696.09787800455-110.5797084315165839.88183042697-16.6021219954519
425858.75875.49106238716-103.9311321751795945.8400697880216.7910623871594
435814.65693.07009278925-129.1447717186836065.27467892944-121.529907210752
446616.66703.21334468074343.6560360852366186.3306192340286.6133446807398



Parameters (Session):
par4 = 12 ;
Parameters (R input):
par1 = 4 ; par2 = periodic ; par3 = 1 ; par4 = ; par5 = 1 ; par6 = ; par7 = 1 ; par8 = FALSE ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #seasonal period
if (par2 != 'periodic') par2 <- as.numeric(par2) #s.window
par3 <- as.numeric(par3) #s.degree
if (par4 == '') par4 <- NULL else par4 <- as.numeric(par4)#t.window
par5 <- as.numeric(par5)#t.degree
if (par6 != '') par6 <- as.numeric(par6)#l.window
par7 <- as.numeric(par7)#l.degree
if (par8 == 'FALSE') par8 <- FALSE else par9 <- TRUE #robust
nx <- length(x)
x <- ts(x,frequency=par1)
if (par6 != '') {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.window=par6, l.degree=par7, robust=par8)
} else {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.degree=par7, robust=par8)
}
m$time.series
m$win
m$deg
m$jump
m$inner
m$outer
bitmap(file='test1.png')
plot(m,main=main)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$time.series[,'trend']),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$time.series[,'seasonal']),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$time.series[,'remainder']),na.action=na.pass,lag.max = mylagmax,main='Remainder')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Parameters',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Component',header=TRUE)
a<-table.element(a,'Window',header=TRUE)
a<-table.element(a,'Degree',header=TRUE)
a<-table.element(a,'Jump',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,m$win['s'])
a<-table.element(a,m$deg['s'])
a<-table.element(a,m$jump['s'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,m$win['t'])
a<-table.element(a,m$deg['t'])
a<-table.element(a,m$jump['t'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Low-pass',header=TRUE)
a<-table.element(a,m$win['l'])
a<-table.element(a,m$deg['l'])
a<-table.element(a,m$jump['l'])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Time Series Components',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,'Fitted',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Remainder',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,x[i]+m$time.series[i,'remainder'])
a<-table.element(a,m$time.series[i,'seasonal'])
a<-table.element(a,m$time.series[i,'trend'])
a<-table.element(a,m$time.series[i,'remainder'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')