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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 computationWed, 07 Dec 2016 14:42:43 +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/07/t1481118463fwmix0syw5q36as.htm/, Retrieved Tue, 07 May 2024 14:59:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298110, Retrieved Tue, 07 May 2024 14:59:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Paper N1268] [2016-12-07 13:42:43] [3146b6c9a81fba6ba78c11f749c05198] [Current]
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Dataseries X:
3719.8
3646.4
3644.6
3713.2
3708.4
3689.6
3652
3590.2
3549.6
3580.6
3599.8
3647
3693.8
3755.6
3832.6
3917.4
4004
4086
4108.8
4179.2
4210.6
4276.6
4361.2
4452
4496.4
4581.6
4694
4749
4790
4837
4915
4929.8
5058
5150
5240
5318
5397.2
5474.6
5500.8
5552
5637.8
5622.8
5633.8
5567.8
5522




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298110&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298110&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298110&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal451046
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 451 & 0 & 46 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298110&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]451[/C][C]0[/C][C]46[/C][/ROW]
[ROW][C]Trend[/C][C]19[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]Low-pass[/C][C]13[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298110&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298110&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
Seasonal451046
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
13719.83794.43085713912-3.451973343255623648.6211162041474.6308571391191
23646.43645.07082132523-0.8464443406141163648.57562301538-1.32917867476954
33644.63623.2107790789817.45909109439353648.53012982663-21.3892209210239
43713.23731.9607539029444.59999155168283649.8392545453718.760753902945
53708.43706.660720949658.99089978628783651.14837926411-1.73927905040136
63689.63683.1884148404542.06404363383073653.94754152571-6.41158515954567
736523627.3661190815719.88717713111153656.74670378732-24.6338809184276
83590.23553.04448720925-33.70711779659843661.06263058735-37.1555127907523
93549.63492.17284568837-58.35140307575883665.37855738739-57.4271543116265
103580.63523.05695244865-41.28474436965623679.427791921-57.5430475513472
113599.83537.38778521328-31.26481166790573693.47702645462-62.4122147867165
1236473582.24815031036-14.09473578655343725.8465854762-64.7518496896428
133693.83632.83582884549-3.451973343255623758.21614449777-60.9641711545141
143755.63705.95847145272-0.8464443406141163806.08797288789-49.641528547279
153832.63793.7811076275917.45909109439353853.95980127802-38.8188923724097
163917.43876.2595553979644.59999155168283913.94045305035-41.140444602036
1740043975.0879953910258.99089978628783973.92110482269-28.9120046089788
1840864089.2501106147742.06404363383074040.68584575143.25011061477107
194108.84090.2622361887819.88717713111154107.4505866801-18.5377638112159
204179.24215.17512557447-33.70711779659844176.9319922221335.9751255744668
214210.64233.1380053116-58.35140307575884246.4133977641622.5380053116023
224276.64279.85395981118-41.28474436965624314.630784558483.25395981117799
234361.24370.8166403151-31.26481166790574382.84817135289.61664031510463
2444524470.12040934939-14.09473578655344447.9743264371618.1204093493889
254496.44483.15149182173-3.451973343255624513.10048152153-13.2485081782725
264581.64585.44761403869-0.8464443406141164578.598830301933.84761403868652
2746944726.4437298232817.45909109439354644.0971790823332.4437298232779
2847494739.4421751287644.59999155168284713.95783331955-9.55782487123633
2947904737.1906126569358.99089978628784783.81848755678-52.8093873430653
3048374774.6465863975642.06404363383074857.28936996861-62.3534136024446
3149154879.3525704884419.88717713111154930.76025238045-35.6474295115622
324929.84888.64374010318-33.70711779659845004.66337769341-41.1562598968158
3350585095.78490006938-58.35140307575885078.5665030063837.7849000693805
3451505191.49505810515-41.28474436965625149.7896862645141.495058105148
3552405290.25194214527-31.26481166790575221.0128695226450.251942145268
3653185369.95820495389-14.09473578655345280.1365308326651.9582049538913
375397.25458.59178120057-3.451973343255625339.2601921426961.3917812005693
385474.65563.77457990869-0.8464443406141165386.2718644319389.1745799086875
395500.85550.8573721844417.45909109439355433.2835367211750.0573721844385
4055525580.7011586289144.59999155168285478.6988498194128.7011586289091
415637.85692.4949372960758.99089978628785524.1141629176554.6949372960662
425622.85635.8912328671242.06404363383075567.6447234990413.0912328671247
435633.85636.5375387884519.88717713111155611.175284080442.73753878844673
445567.85516.8599865382-33.70711779659845652.4471312584-50.9400134617981
4555225408.63242463941-58.35140307575885693.71897843635-113.367575360592

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 3719.8 & 3794.43085713912 & -3.45197334325562 & 3648.62111620414 & 74.6308571391191 \tabularnewline
2 & 3646.4 & 3645.07082132523 & -0.846444340614116 & 3648.57562301538 & -1.32917867476954 \tabularnewline
3 & 3644.6 & 3623.21077907898 & 17.4590910943935 & 3648.53012982663 & -21.3892209210239 \tabularnewline
4 & 3713.2 & 3731.96075390294 & 44.5999915516828 & 3649.83925454537 & 18.760753902945 \tabularnewline
5 & 3708.4 & 3706.6607209496 & 58.9908997862878 & 3651.14837926411 & -1.73927905040136 \tabularnewline
6 & 3689.6 & 3683.18841484045 & 42.0640436338307 & 3653.94754152571 & -6.41158515954567 \tabularnewline
7 & 3652 & 3627.36611908157 & 19.8871771311115 & 3656.74670378732 & -24.6338809184276 \tabularnewline
8 & 3590.2 & 3553.04448720925 & -33.7071177965984 & 3661.06263058735 & -37.1555127907523 \tabularnewline
9 & 3549.6 & 3492.17284568837 & -58.3514030757588 & 3665.37855738739 & -57.4271543116265 \tabularnewline
10 & 3580.6 & 3523.05695244865 & -41.2847443696562 & 3679.427791921 & -57.5430475513472 \tabularnewline
11 & 3599.8 & 3537.38778521328 & -31.2648116679057 & 3693.47702645462 & -62.4122147867165 \tabularnewline
12 & 3647 & 3582.24815031036 & -14.0947357865534 & 3725.8465854762 & -64.7518496896428 \tabularnewline
13 & 3693.8 & 3632.83582884549 & -3.45197334325562 & 3758.21614449777 & -60.9641711545141 \tabularnewline
14 & 3755.6 & 3705.95847145272 & -0.846444340614116 & 3806.08797288789 & -49.641528547279 \tabularnewline
15 & 3832.6 & 3793.78110762759 & 17.4590910943935 & 3853.95980127802 & -38.8188923724097 \tabularnewline
16 & 3917.4 & 3876.25955539796 & 44.5999915516828 & 3913.94045305035 & -41.140444602036 \tabularnewline
17 & 4004 & 3975.08799539102 & 58.9908997862878 & 3973.92110482269 & -28.9120046089788 \tabularnewline
18 & 4086 & 4089.25011061477 & 42.0640436338307 & 4040.6858457514 & 3.25011061477107 \tabularnewline
19 & 4108.8 & 4090.26223618878 & 19.8871771311115 & 4107.4505866801 & -18.5377638112159 \tabularnewline
20 & 4179.2 & 4215.17512557447 & -33.7071177965984 & 4176.93199222213 & 35.9751255744668 \tabularnewline
21 & 4210.6 & 4233.1380053116 & -58.3514030757588 & 4246.41339776416 & 22.5380053116023 \tabularnewline
22 & 4276.6 & 4279.85395981118 & -41.2847443696562 & 4314.63078455848 & 3.25395981117799 \tabularnewline
23 & 4361.2 & 4370.8166403151 & -31.2648116679057 & 4382.8481713528 & 9.61664031510463 \tabularnewline
24 & 4452 & 4470.12040934939 & -14.0947357865534 & 4447.97432643716 & 18.1204093493889 \tabularnewline
25 & 4496.4 & 4483.15149182173 & -3.45197334325562 & 4513.10048152153 & -13.2485081782725 \tabularnewline
26 & 4581.6 & 4585.44761403869 & -0.846444340614116 & 4578.59883030193 & 3.84761403868652 \tabularnewline
27 & 4694 & 4726.44372982328 & 17.4590910943935 & 4644.09717908233 & 32.4437298232779 \tabularnewline
28 & 4749 & 4739.44217512876 & 44.5999915516828 & 4713.95783331955 & -9.55782487123633 \tabularnewline
29 & 4790 & 4737.19061265693 & 58.9908997862878 & 4783.81848755678 & -52.8093873430653 \tabularnewline
30 & 4837 & 4774.64658639756 & 42.0640436338307 & 4857.28936996861 & -62.3534136024446 \tabularnewline
31 & 4915 & 4879.35257048844 & 19.8871771311115 & 4930.76025238045 & -35.6474295115622 \tabularnewline
32 & 4929.8 & 4888.64374010318 & -33.7071177965984 & 5004.66337769341 & -41.1562598968158 \tabularnewline
33 & 5058 & 5095.78490006938 & -58.3514030757588 & 5078.56650300638 & 37.7849000693805 \tabularnewline
34 & 5150 & 5191.49505810515 & -41.2847443696562 & 5149.78968626451 & 41.495058105148 \tabularnewline
35 & 5240 & 5290.25194214527 & -31.2648116679057 & 5221.01286952264 & 50.251942145268 \tabularnewline
36 & 5318 & 5369.95820495389 & -14.0947357865534 & 5280.13653083266 & 51.9582049538913 \tabularnewline
37 & 5397.2 & 5458.59178120057 & -3.45197334325562 & 5339.26019214269 & 61.3917812005693 \tabularnewline
38 & 5474.6 & 5563.77457990869 & -0.846444340614116 & 5386.27186443193 & 89.1745799086875 \tabularnewline
39 & 5500.8 & 5550.85737218444 & 17.4590910943935 & 5433.28353672117 & 50.0573721844385 \tabularnewline
40 & 5552 & 5580.70115862891 & 44.5999915516828 & 5478.69884981941 & 28.7011586289091 \tabularnewline
41 & 5637.8 & 5692.49493729607 & 58.9908997862878 & 5524.11416291765 & 54.6949372960662 \tabularnewline
42 & 5622.8 & 5635.89123286712 & 42.0640436338307 & 5567.64472349904 & 13.0912328671247 \tabularnewline
43 & 5633.8 & 5636.53753878845 & 19.8871771311115 & 5611.17528408044 & 2.73753878844673 \tabularnewline
44 & 5567.8 & 5516.8599865382 & -33.7071177965984 & 5652.4471312584 & -50.9400134617981 \tabularnewline
45 & 5522 & 5408.63242463941 & -58.3514030757588 & 5693.71897843635 & -113.367575360592 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298110&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]3719.8[/C][C]3794.43085713912[/C][C]-3.45197334325562[/C][C]3648.62111620414[/C][C]74.6308571391191[/C][/ROW]
[ROW][C]2[/C][C]3646.4[/C][C]3645.07082132523[/C][C]-0.846444340614116[/C][C]3648.57562301538[/C][C]-1.32917867476954[/C][/ROW]
[ROW][C]3[/C][C]3644.6[/C][C]3623.21077907898[/C][C]17.4590910943935[/C][C]3648.53012982663[/C][C]-21.3892209210239[/C][/ROW]
[ROW][C]4[/C][C]3713.2[/C][C]3731.96075390294[/C][C]44.5999915516828[/C][C]3649.83925454537[/C][C]18.760753902945[/C][/ROW]
[ROW][C]5[/C][C]3708.4[/C][C]3706.6607209496[/C][C]58.9908997862878[/C][C]3651.14837926411[/C][C]-1.73927905040136[/C][/ROW]
[ROW][C]6[/C][C]3689.6[/C][C]3683.18841484045[/C][C]42.0640436338307[/C][C]3653.94754152571[/C][C]-6.41158515954567[/C][/ROW]
[ROW][C]7[/C][C]3652[/C][C]3627.36611908157[/C][C]19.8871771311115[/C][C]3656.74670378732[/C][C]-24.6338809184276[/C][/ROW]
[ROW][C]8[/C][C]3590.2[/C][C]3553.04448720925[/C][C]-33.7071177965984[/C][C]3661.06263058735[/C][C]-37.1555127907523[/C][/ROW]
[ROW][C]9[/C][C]3549.6[/C][C]3492.17284568837[/C][C]-58.3514030757588[/C][C]3665.37855738739[/C][C]-57.4271543116265[/C][/ROW]
[ROW][C]10[/C][C]3580.6[/C][C]3523.05695244865[/C][C]-41.2847443696562[/C][C]3679.427791921[/C][C]-57.5430475513472[/C][/ROW]
[ROW][C]11[/C][C]3599.8[/C][C]3537.38778521328[/C][C]-31.2648116679057[/C][C]3693.47702645462[/C][C]-62.4122147867165[/C][/ROW]
[ROW][C]12[/C][C]3647[/C][C]3582.24815031036[/C][C]-14.0947357865534[/C][C]3725.8465854762[/C][C]-64.7518496896428[/C][/ROW]
[ROW][C]13[/C][C]3693.8[/C][C]3632.83582884549[/C][C]-3.45197334325562[/C][C]3758.21614449777[/C][C]-60.9641711545141[/C][/ROW]
[ROW][C]14[/C][C]3755.6[/C][C]3705.95847145272[/C][C]-0.846444340614116[/C][C]3806.08797288789[/C][C]-49.641528547279[/C][/ROW]
[ROW][C]15[/C][C]3832.6[/C][C]3793.78110762759[/C][C]17.4590910943935[/C][C]3853.95980127802[/C][C]-38.8188923724097[/C][/ROW]
[ROW][C]16[/C][C]3917.4[/C][C]3876.25955539796[/C][C]44.5999915516828[/C][C]3913.94045305035[/C][C]-41.140444602036[/C][/ROW]
[ROW][C]17[/C][C]4004[/C][C]3975.08799539102[/C][C]58.9908997862878[/C][C]3973.92110482269[/C][C]-28.9120046089788[/C][/ROW]
[ROW][C]18[/C][C]4086[/C][C]4089.25011061477[/C][C]42.0640436338307[/C][C]4040.6858457514[/C][C]3.25011061477107[/C][/ROW]
[ROW][C]19[/C][C]4108.8[/C][C]4090.26223618878[/C][C]19.8871771311115[/C][C]4107.4505866801[/C][C]-18.5377638112159[/C][/ROW]
[ROW][C]20[/C][C]4179.2[/C][C]4215.17512557447[/C][C]-33.7071177965984[/C][C]4176.93199222213[/C][C]35.9751255744668[/C][/ROW]
[ROW][C]21[/C][C]4210.6[/C][C]4233.1380053116[/C][C]-58.3514030757588[/C][C]4246.41339776416[/C][C]22.5380053116023[/C][/ROW]
[ROW][C]22[/C][C]4276.6[/C][C]4279.85395981118[/C][C]-41.2847443696562[/C][C]4314.63078455848[/C][C]3.25395981117799[/C][/ROW]
[ROW][C]23[/C][C]4361.2[/C][C]4370.8166403151[/C][C]-31.2648116679057[/C][C]4382.8481713528[/C][C]9.61664031510463[/C][/ROW]
[ROW][C]24[/C][C]4452[/C][C]4470.12040934939[/C][C]-14.0947357865534[/C][C]4447.97432643716[/C][C]18.1204093493889[/C][/ROW]
[ROW][C]25[/C][C]4496.4[/C][C]4483.15149182173[/C][C]-3.45197334325562[/C][C]4513.10048152153[/C][C]-13.2485081782725[/C][/ROW]
[ROW][C]26[/C][C]4581.6[/C][C]4585.44761403869[/C][C]-0.846444340614116[/C][C]4578.59883030193[/C][C]3.84761403868652[/C][/ROW]
[ROW][C]27[/C][C]4694[/C][C]4726.44372982328[/C][C]17.4590910943935[/C][C]4644.09717908233[/C][C]32.4437298232779[/C][/ROW]
[ROW][C]28[/C][C]4749[/C][C]4739.44217512876[/C][C]44.5999915516828[/C][C]4713.95783331955[/C][C]-9.55782487123633[/C][/ROW]
[ROW][C]29[/C][C]4790[/C][C]4737.19061265693[/C][C]58.9908997862878[/C][C]4783.81848755678[/C][C]-52.8093873430653[/C][/ROW]
[ROW][C]30[/C][C]4837[/C][C]4774.64658639756[/C][C]42.0640436338307[/C][C]4857.28936996861[/C][C]-62.3534136024446[/C][/ROW]
[ROW][C]31[/C][C]4915[/C][C]4879.35257048844[/C][C]19.8871771311115[/C][C]4930.76025238045[/C][C]-35.6474295115622[/C][/ROW]
[ROW][C]32[/C][C]4929.8[/C][C]4888.64374010318[/C][C]-33.7071177965984[/C][C]5004.66337769341[/C][C]-41.1562598968158[/C][/ROW]
[ROW][C]33[/C][C]5058[/C][C]5095.78490006938[/C][C]-58.3514030757588[/C][C]5078.56650300638[/C][C]37.7849000693805[/C][/ROW]
[ROW][C]34[/C][C]5150[/C][C]5191.49505810515[/C][C]-41.2847443696562[/C][C]5149.78968626451[/C][C]41.495058105148[/C][/ROW]
[ROW][C]35[/C][C]5240[/C][C]5290.25194214527[/C][C]-31.2648116679057[/C][C]5221.01286952264[/C][C]50.251942145268[/C][/ROW]
[ROW][C]36[/C][C]5318[/C][C]5369.95820495389[/C][C]-14.0947357865534[/C][C]5280.13653083266[/C][C]51.9582049538913[/C][/ROW]
[ROW][C]37[/C][C]5397.2[/C][C]5458.59178120057[/C][C]-3.45197334325562[/C][C]5339.26019214269[/C][C]61.3917812005693[/C][/ROW]
[ROW][C]38[/C][C]5474.6[/C][C]5563.77457990869[/C][C]-0.846444340614116[/C][C]5386.27186443193[/C][C]89.1745799086875[/C][/ROW]
[ROW][C]39[/C][C]5500.8[/C][C]5550.85737218444[/C][C]17.4590910943935[/C][C]5433.28353672117[/C][C]50.0573721844385[/C][/ROW]
[ROW][C]40[/C][C]5552[/C][C]5580.70115862891[/C][C]44.5999915516828[/C][C]5478.69884981941[/C][C]28.7011586289091[/C][/ROW]
[ROW][C]41[/C][C]5637.8[/C][C]5692.49493729607[/C][C]58.9908997862878[/C][C]5524.11416291765[/C][C]54.6949372960662[/C][/ROW]
[ROW][C]42[/C][C]5622.8[/C][C]5635.89123286712[/C][C]42.0640436338307[/C][C]5567.64472349904[/C][C]13.0912328671247[/C][/ROW]
[ROW][C]43[/C][C]5633.8[/C][C]5636.53753878845[/C][C]19.8871771311115[/C][C]5611.17528408044[/C][C]2.73753878844673[/C][/ROW]
[ROW][C]44[/C][C]5567.8[/C][C]5516.8599865382[/C][C]-33.7071177965984[/C][C]5652.4471312584[/C][C]-50.9400134617981[/C][/ROW]
[ROW][C]45[/C][C]5522[/C][C]5408.63242463941[/C][C]-58.3514030757588[/C][C]5693.71897843635[/C][C]-113.367575360592[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298110&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298110&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
13719.83794.43085713912-3.451973343255623648.6211162041474.6308571391191
23646.43645.07082132523-0.8464443406141163648.57562301538-1.32917867476954
33644.63623.2107790789817.45909109439353648.53012982663-21.3892209210239
43713.23731.9607539029444.59999155168283649.8392545453718.760753902945
53708.43706.660720949658.99089978628783651.14837926411-1.73927905040136
63689.63683.1884148404542.06404363383073653.94754152571-6.41158515954567
736523627.3661190815719.88717713111153656.74670378732-24.6338809184276
83590.23553.04448720925-33.70711779659843661.06263058735-37.1555127907523
93549.63492.17284568837-58.35140307575883665.37855738739-57.4271543116265
103580.63523.05695244865-41.28474436965623679.427791921-57.5430475513472
113599.83537.38778521328-31.26481166790573693.47702645462-62.4122147867165
1236473582.24815031036-14.09473578655343725.8465854762-64.7518496896428
133693.83632.83582884549-3.451973343255623758.21614449777-60.9641711545141
143755.63705.95847145272-0.8464443406141163806.08797288789-49.641528547279
153832.63793.7811076275917.45909109439353853.95980127802-38.8188923724097
163917.43876.2595553979644.59999155168283913.94045305035-41.140444602036
1740043975.0879953910258.99089978628783973.92110482269-28.9120046089788
1840864089.2501106147742.06404363383074040.68584575143.25011061477107
194108.84090.2622361887819.88717713111154107.4505866801-18.5377638112159
204179.24215.17512557447-33.70711779659844176.9319922221335.9751255744668
214210.64233.1380053116-58.35140307575884246.4133977641622.5380053116023
224276.64279.85395981118-41.28474436965624314.630784558483.25395981117799
234361.24370.8166403151-31.26481166790574382.84817135289.61664031510463
2444524470.12040934939-14.09473578655344447.9743264371618.1204093493889
254496.44483.15149182173-3.451973343255624513.10048152153-13.2485081782725
264581.64585.44761403869-0.8464443406141164578.598830301933.84761403868652
2746944726.4437298232817.45909109439354644.0971790823332.4437298232779
2847494739.4421751287644.59999155168284713.95783331955-9.55782487123633
2947904737.1906126569358.99089978628784783.81848755678-52.8093873430653
3048374774.6465863975642.06404363383074857.28936996861-62.3534136024446
3149154879.3525704884419.88717713111154930.76025238045-35.6474295115622
324929.84888.64374010318-33.70711779659845004.66337769341-41.1562598968158
3350585095.78490006938-58.35140307575885078.5665030063837.7849000693805
3451505191.49505810515-41.28474436965625149.7896862645141.495058105148
3552405290.25194214527-31.26481166790575221.0128695226450.251942145268
3653185369.95820495389-14.09473578655345280.1365308326651.9582049538913
375397.25458.59178120057-3.451973343255625339.2601921426961.3917812005693
385474.65563.77457990869-0.8464443406141165386.2718644319389.1745799086875
395500.85550.8573721844417.45909109439355433.2835367211750.0573721844385
4055525580.7011586289144.59999155168285478.6988498194128.7011586289091
415637.85692.4949372960758.99089978628785524.1141629176554.6949372960662
425622.85635.8912328671242.06404363383075567.6447234990413.0912328671247
435633.85636.5375387884519.88717713111155611.175284080442.73753878844673
445567.85516.8599865382-33.70711779659845652.4471312584-50.9400134617981
4555225408.63242463941-58.35140307575885693.71897843635-113.367575360592



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; 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')