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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationTue, 13 Dec 2016 17:12:15 +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/13/t1481645551k2it2xs65nxetbh.htm/, Retrieved Sun, 05 May 2024 03:25:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299169, Retrieved Sun, 05 May 2024 03:25:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact34
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Decomposition by ...] [2016-12-13 16:12:15] [7b02c9ca65294818d9c418453f92ae83] [Current]
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Dataseries X:
4805.5
4520
4821
4992.5
5038
5184.5
5328
5441
5753
5772
5395
5210.5
4907.5
4877.5
4885
5117
5630
5829
6231
6156.5
6130.5
6240
6384
6362.5
6160
6102
5826.5
5897.5
5780
6126.5
6200.5
6435.5
6664
6723.5
7201
7899.5
8461
8665.5
8650
8403.5
8607
8057.5
8336
7863




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=299169&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=299169&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299169&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
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 441 & 0 & 45 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299169&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]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=299169&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299169&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
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
14805.54670.8766502292150.54821126663864889.57513850415-134.623349770786
245204151.50324921884-54.15955377138264942.65630455255-368.496750781164
348214758.50501908668-112.2424896876294995.73747060095-62.4949809133168
44992.55073.21689128567-128.979624860895040.7627335752280.7168912856714
550385031.80383586949-41.591832418985085.78799654949-6.19616413051244
65184.55345.83988534839-101.1840497136785124.34416436529161.33988534839
753285465.0012145172728.09845330164785162.90033218108137.001214517268
854415815.52098901304-132.6862756373695199.16528662433374.520989013044
957536122.8440116873147.725747245135235.43024106757369.844011687303
1057726184.8819774213101.9709498157815257.14707276292412.881977421298
1153955436.0866054676375.04949007409165278.8639044582841.0866054676335
125210.54942.88834208761167.4501730477465310.66148486465-267.611657912394
134907.54421.9927234623450.54821126663865342.45906527102-485.50727653766
144877.54413.50265432037-54.15955377138265395.65689945102-463.997345679633
1548854433.38775605662-112.2424896876295448.85473363101-451.612243943382
1651174836.43318092315-128.979624860895526.54644393774-280.566819076847
1756305697.35367817452-41.591832418985604.2381542444667.3536781745161
1858296052.36241911982-101.1840497136785706.82163059385223.362419119822
1962316624.4964397551128.09845330164785809.40510694325393.496439755106
206156.56543.44630012913-132.6862756373695902.23997550824386.946300129134
216130.56118.19940868164147.725747245135995.07484407322-12.3005913183551
2262406335.66234989545101.9709498157816042.3667002887795.6623498954486
2363846603.2919534215975.04949007409166089.65855650432219.291953421593
246362.56455.06528147626167.4501730477466102.48454547692.565281476258
2561606154.1412542856850.54821126663866115.31053444768-5.85874571431577
2661026126.44649976513-54.15955377138266131.7130540062524.446499765133
275826.55617.12691612281-112.2424896876296148.11557356482-209.373083877193
285897.55724.65758328061-128.979624860896199.32204158028-172.842416719385
2957805351.06332282325-41.591832418986250.52850959573-428.936677176749
306126.55981.94331478757-101.1840497136786372.2407349261-144.556685212426
316200.55878.9485864418728.09845330164786493.95296025648-321.551413558126
326435.56306.56329999098-132.6862756373696697.12297564639-128.936700009021
3366646279.98126171857147.725747245136900.2929910363-384.018738281433
346723.56209.36512205197101.9709498157817135.66392813225-514.134877948031
3572016955.9156446977175.04949007409167371.0348652282-245.08435530229
367899.58085.99440639098167.4501730477467545.55542056127186.494406390982
3784619151.3758128390250.54821126663867720.07597589434690.375812839017
388665.59502.96285965666-54.15955377138267882.19669411472837.462859656658
3986509367.92507735253-112.2424896876298044.3174123351717.925077352526
408403.58731.368448865-128.979624860898204.61117599589327.868448864998
4186078890.6868927623-41.591832418988364.90493965668283.6868927623
428057.57701.6197855503-101.1840497136788514.56426416338-355.880214449705
4383367979.6779580282728.09845330164788664.22358867009-356.322041971733
4478637056.69187632596-132.6862756373698801.99439931141-806.308123674037

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 4805.5 & 4670.87665022921 & 50.5482112666386 & 4889.57513850415 & -134.623349770786 \tabularnewline
2 & 4520 & 4151.50324921884 & -54.1595537713826 & 4942.65630455255 & -368.496750781164 \tabularnewline
3 & 4821 & 4758.50501908668 & -112.242489687629 & 4995.73747060095 & -62.4949809133168 \tabularnewline
4 & 4992.5 & 5073.21689128567 & -128.97962486089 & 5040.76273357522 & 80.7168912856714 \tabularnewline
5 & 5038 & 5031.80383586949 & -41.59183241898 & 5085.78799654949 & -6.19616413051244 \tabularnewline
6 & 5184.5 & 5345.83988534839 & -101.184049713678 & 5124.34416436529 & 161.33988534839 \tabularnewline
7 & 5328 & 5465.00121451727 & 28.0984533016478 & 5162.90033218108 & 137.001214517268 \tabularnewline
8 & 5441 & 5815.52098901304 & -132.686275637369 & 5199.16528662433 & 374.520989013044 \tabularnewline
9 & 5753 & 6122.8440116873 & 147.72574724513 & 5235.43024106757 & 369.844011687303 \tabularnewline
10 & 5772 & 6184.8819774213 & 101.970949815781 & 5257.14707276292 & 412.881977421298 \tabularnewline
11 & 5395 & 5436.08660546763 & 75.0494900740916 & 5278.86390445828 & 41.0866054676335 \tabularnewline
12 & 5210.5 & 4942.88834208761 & 167.450173047746 & 5310.66148486465 & -267.611657912394 \tabularnewline
13 & 4907.5 & 4421.99272346234 & 50.5482112666386 & 5342.45906527102 & -485.50727653766 \tabularnewline
14 & 4877.5 & 4413.50265432037 & -54.1595537713826 & 5395.65689945102 & -463.997345679633 \tabularnewline
15 & 4885 & 4433.38775605662 & -112.242489687629 & 5448.85473363101 & -451.612243943382 \tabularnewline
16 & 5117 & 4836.43318092315 & -128.97962486089 & 5526.54644393774 & -280.566819076847 \tabularnewline
17 & 5630 & 5697.35367817452 & -41.59183241898 & 5604.23815424446 & 67.3536781745161 \tabularnewline
18 & 5829 & 6052.36241911982 & -101.184049713678 & 5706.82163059385 & 223.362419119822 \tabularnewline
19 & 6231 & 6624.49643975511 & 28.0984533016478 & 5809.40510694325 & 393.496439755106 \tabularnewline
20 & 6156.5 & 6543.44630012913 & -132.686275637369 & 5902.23997550824 & 386.946300129134 \tabularnewline
21 & 6130.5 & 6118.19940868164 & 147.72574724513 & 5995.07484407322 & -12.3005913183551 \tabularnewline
22 & 6240 & 6335.66234989545 & 101.970949815781 & 6042.36670028877 & 95.6623498954486 \tabularnewline
23 & 6384 & 6603.29195342159 & 75.0494900740916 & 6089.65855650432 & 219.291953421593 \tabularnewline
24 & 6362.5 & 6455.06528147626 & 167.450173047746 & 6102.484545476 & 92.565281476258 \tabularnewline
25 & 6160 & 6154.14125428568 & 50.5482112666386 & 6115.31053444768 & -5.85874571431577 \tabularnewline
26 & 6102 & 6126.44649976513 & -54.1595537713826 & 6131.71305400625 & 24.446499765133 \tabularnewline
27 & 5826.5 & 5617.12691612281 & -112.242489687629 & 6148.11557356482 & -209.373083877193 \tabularnewline
28 & 5897.5 & 5724.65758328061 & -128.97962486089 & 6199.32204158028 & -172.842416719385 \tabularnewline
29 & 5780 & 5351.06332282325 & -41.59183241898 & 6250.52850959573 & -428.936677176749 \tabularnewline
30 & 6126.5 & 5981.94331478757 & -101.184049713678 & 6372.2407349261 & -144.556685212426 \tabularnewline
31 & 6200.5 & 5878.94858644187 & 28.0984533016478 & 6493.95296025648 & -321.551413558126 \tabularnewline
32 & 6435.5 & 6306.56329999098 & -132.686275637369 & 6697.12297564639 & -128.936700009021 \tabularnewline
33 & 6664 & 6279.98126171857 & 147.72574724513 & 6900.2929910363 & -384.018738281433 \tabularnewline
34 & 6723.5 & 6209.36512205197 & 101.970949815781 & 7135.66392813225 & -514.134877948031 \tabularnewline
35 & 7201 & 6955.91564469771 & 75.0494900740916 & 7371.0348652282 & -245.08435530229 \tabularnewline
36 & 7899.5 & 8085.99440639098 & 167.450173047746 & 7545.55542056127 & 186.494406390982 \tabularnewline
37 & 8461 & 9151.37581283902 & 50.5482112666386 & 7720.07597589434 & 690.375812839017 \tabularnewline
38 & 8665.5 & 9502.96285965666 & -54.1595537713826 & 7882.19669411472 & 837.462859656658 \tabularnewline
39 & 8650 & 9367.92507735253 & -112.242489687629 & 8044.3174123351 & 717.925077352526 \tabularnewline
40 & 8403.5 & 8731.368448865 & -128.97962486089 & 8204.61117599589 & 327.868448864998 \tabularnewline
41 & 8607 & 8890.6868927623 & -41.59183241898 & 8364.90493965668 & 283.6868927623 \tabularnewline
42 & 8057.5 & 7701.6197855503 & -101.184049713678 & 8514.56426416338 & -355.880214449705 \tabularnewline
43 & 8336 & 7979.67795802827 & 28.0984533016478 & 8664.22358867009 & -356.322041971733 \tabularnewline
44 & 7863 & 7056.69187632596 & -132.686275637369 & 8801.99439931141 & -806.308123674037 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299169&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]4805.5[/C][C]4670.87665022921[/C][C]50.5482112666386[/C][C]4889.57513850415[/C][C]-134.623349770786[/C][/ROW]
[ROW][C]2[/C][C]4520[/C][C]4151.50324921884[/C][C]-54.1595537713826[/C][C]4942.65630455255[/C][C]-368.496750781164[/C][/ROW]
[ROW][C]3[/C][C]4821[/C][C]4758.50501908668[/C][C]-112.242489687629[/C][C]4995.73747060095[/C][C]-62.4949809133168[/C][/ROW]
[ROW][C]4[/C][C]4992.5[/C][C]5073.21689128567[/C][C]-128.97962486089[/C][C]5040.76273357522[/C][C]80.7168912856714[/C][/ROW]
[ROW][C]5[/C][C]5038[/C][C]5031.80383586949[/C][C]-41.59183241898[/C][C]5085.78799654949[/C][C]-6.19616413051244[/C][/ROW]
[ROW][C]6[/C][C]5184.5[/C][C]5345.83988534839[/C][C]-101.184049713678[/C][C]5124.34416436529[/C][C]161.33988534839[/C][/ROW]
[ROW][C]7[/C][C]5328[/C][C]5465.00121451727[/C][C]28.0984533016478[/C][C]5162.90033218108[/C][C]137.001214517268[/C][/ROW]
[ROW][C]8[/C][C]5441[/C][C]5815.52098901304[/C][C]-132.686275637369[/C][C]5199.16528662433[/C][C]374.520989013044[/C][/ROW]
[ROW][C]9[/C][C]5753[/C][C]6122.8440116873[/C][C]147.72574724513[/C][C]5235.43024106757[/C][C]369.844011687303[/C][/ROW]
[ROW][C]10[/C][C]5772[/C][C]6184.8819774213[/C][C]101.970949815781[/C][C]5257.14707276292[/C][C]412.881977421298[/C][/ROW]
[ROW][C]11[/C][C]5395[/C][C]5436.08660546763[/C][C]75.0494900740916[/C][C]5278.86390445828[/C][C]41.0866054676335[/C][/ROW]
[ROW][C]12[/C][C]5210.5[/C][C]4942.88834208761[/C][C]167.450173047746[/C][C]5310.66148486465[/C][C]-267.611657912394[/C][/ROW]
[ROW][C]13[/C][C]4907.5[/C][C]4421.99272346234[/C][C]50.5482112666386[/C][C]5342.45906527102[/C][C]-485.50727653766[/C][/ROW]
[ROW][C]14[/C][C]4877.5[/C][C]4413.50265432037[/C][C]-54.1595537713826[/C][C]5395.65689945102[/C][C]-463.997345679633[/C][/ROW]
[ROW][C]15[/C][C]4885[/C][C]4433.38775605662[/C][C]-112.242489687629[/C][C]5448.85473363101[/C][C]-451.612243943382[/C][/ROW]
[ROW][C]16[/C][C]5117[/C][C]4836.43318092315[/C][C]-128.97962486089[/C][C]5526.54644393774[/C][C]-280.566819076847[/C][/ROW]
[ROW][C]17[/C][C]5630[/C][C]5697.35367817452[/C][C]-41.59183241898[/C][C]5604.23815424446[/C][C]67.3536781745161[/C][/ROW]
[ROW][C]18[/C][C]5829[/C][C]6052.36241911982[/C][C]-101.184049713678[/C][C]5706.82163059385[/C][C]223.362419119822[/C][/ROW]
[ROW][C]19[/C][C]6231[/C][C]6624.49643975511[/C][C]28.0984533016478[/C][C]5809.40510694325[/C][C]393.496439755106[/C][/ROW]
[ROW][C]20[/C][C]6156.5[/C][C]6543.44630012913[/C][C]-132.686275637369[/C][C]5902.23997550824[/C][C]386.946300129134[/C][/ROW]
[ROW][C]21[/C][C]6130.5[/C][C]6118.19940868164[/C][C]147.72574724513[/C][C]5995.07484407322[/C][C]-12.3005913183551[/C][/ROW]
[ROW][C]22[/C][C]6240[/C][C]6335.66234989545[/C][C]101.970949815781[/C][C]6042.36670028877[/C][C]95.6623498954486[/C][/ROW]
[ROW][C]23[/C][C]6384[/C][C]6603.29195342159[/C][C]75.0494900740916[/C][C]6089.65855650432[/C][C]219.291953421593[/C][/ROW]
[ROW][C]24[/C][C]6362.5[/C][C]6455.06528147626[/C][C]167.450173047746[/C][C]6102.484545476[/C][C]92.565281476258[/C][/ROW]
[ROW][C]25[/C][C]6160[/C][C]6154.14125428568[/C][C]50.5482112666386[/C][C]6115.31053444768[/C][C]-5.85874571431577[/C][/ROW]
[ROW][C]26[/C][C]6102[/C][C]6126.44649976513[/C][C]-54.1595537713826[/C][C]6131.71305400625[/C][C]24.446499765133[/C][/ROW]
[ROW][C]27[/C][C]5826.5[/C][C]5617.12691612281[/C][C]-112.242489687629[/C][C]6148.11557356482[/C][C]-209.373083877193[/C][/ROW]
[ROW][C]28[/C][C]5897.5[/C][C]5724.65758328061[/C][C]-128.97962486089[/C][C]6199.32204158028[/C][C]-172.842416719385[/C][/ROW]
[ROW][C]29[/C][C]5780[/C][C]5351.06332282325[/C][C]-41.59183241898[/C][C]6250.52850959573[/C][C]-428.936677176749[/C][/ROW]
[ROW][C]30[/C][C]6126.5[/C][C]5981.94331478757[/C][C]-101.184049713678[/C][C]6372.2407349261[/C][C]-144.556685212426[/C][/ROW]
[ROW][C]31[/C][C]6200.5[/C][C]5878.94858644187[/C][C]28.0984533016478[/C][C]6493.95296025648[/C][C]-321.551413558126[/C][/ROW]
[ROW][C]32[/C][C]6435.5[/C][C]6306.56329999098[/C][C]-132.686275637369[/C][C]6697.12297564639[/C][C]-128.936700009021[/C][/ROW]
[ROW][C]33[/C][C]6664[/C][C]6279.98126171857[/C][C]147.72574724513[/C][C]6900.2929910363[/C][C]-384.018738281433[/C][/ROW]
[ROW][C]34[/C][C]6723.5[/C][C]6209.36512205197[/C][C]101.970949815781[/C][C]7135.66392813225[/C][C]-514.134877948031[/C][/ROW]
[ROW][C]35[/C][C]7201[/C][C]6955.91564469771[/C][C]75.0494900740916[/C][C]7371.0348652282[/C][C]-245.08435530229[/C][/ROW]
[ROW][C]36[/C][C]7899.5[/C][C]8085.99440639098[/C][C]167.450173047746[/C][C]7545.55542056127[/C][C]186.494406390982[/C][/ROW]
[ROW][C]37[/C][C]8461[/C][C]9151.37581283902[/C][C]50.5482112666386[/C][C]7720.07597589434[/C][C]690.375812839017[/C][/ROW]
[ROW][C]38[/C][C]8665.5[/C][C]9502.96285965666[/C][C]-54.1595537713826[/C][C]7882.19669411472[/C][C]837.462859656658[/C][/ROW]
[ROW][C]39[/C][C]8650[/C][C]9367.92507735253[/C][C]-112.242489687629[/C][C]8044.3174123351[/C][C]717.925077352526[/C][/ROW]
[ROW][C]40[/C][C]8403.5[/C][C]8731.368448865[/C][C]-128.97962486089[/C][C]8204.61117599589[/C][C]327.868448864998[/C][/ROW]
[ROW][C]41[/C][C]8607[/C][C]8890.6868927623[/C][C]-41.59183241898[/C][C]8364.90493965668[/C][C]283.6868927623[/C][/ROW]
[ROW][C]42[/C][C]8057.5[/C][C]7701.6197855503[/C][C]-101.184049713678[/C][C]8514.56426416338[/C][C]-355.880214449705[/C][/ROW]
[ROW][C]43[/C][C]8336[/C][C]7979.67795802827[/C][C]28.0984533016478[/C][C]8664.22358867009[/C][C]-356.322041971733[/C][/ROW]
[ROW][C]44[/C][C]7863[/C][C]7056.69187632596[/C][C]-132.686275637369[/C][C]8801.99439931141[/C][C]-806.308123674037[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299169&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299169&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
14805.54670.8766502292150.54821126663864889.57513850415-134.623349770786
245204151.50324921884-54.15955377138264942.65630455255-368.496750781164
348214758.50501908668-112.2424896876294995.73747060095-62.4949809133168
44992.55073.21689128567-128.979624860895040.7627335752280.7168912856714
550385031.80383586949-41.591832418985085.78799654949-6.19616413051244
65184.55345.83988534839-101.1840497136785124.34416436529161.33988534839
753285465.0012145172728.09845330164785162.90033218108137.001214517268
854415815.52098901304-132.6862756373695199.16528662433374.520989013044
957536122.8440116873147.725747245135235.43024106757369.844011687303
1057726184.8819774213101.9709498157815257.14707276292412.881977421298
1153955436.0866054676375.04949007409165278.8639044582841.0866054676335
125210.54942.88834208761167.4501730477465310.66148486465-267.611657912394
134907.54421.9927234623450.54821126663865342.45906527102-485.50727653766
144877.54413.50265432037-54.15955377138265395.65689945102-463.997345679633
1548854433.38775605662-112.2424896876295448.85473363101-451.612243943382
1651174836.43318092315-128.979624860895526.54644393774-280.566819076847
1756305697.35367817452-41.591832418985604.2381542444667.3536781745161
1858296052.36241911982-101.1840497136785706.82163059385223.362419119822
1962316624.4964397551128.09845330164785809.40510694325393.496439755106
206156.56543.44630012913-132.6862756373695902.23997550824386.946300129134
216130.56118.19940868164147.725747245135995.07484407322-12.3005913183551
2262406335.66234989545101.9709498157816042.3667002887795.6623498954486
2363846603.2919534215975.04949007409166089.65855650432219.291953421593
246362.56455.06528147626167.4501730477466102.48454547692.565281476258
2561606154.1412542856850.54821126663866115.31053444768-5.85874571431577
2661026126.44649976513-54.15955377138266131.7130540062524.446499765133
275826.55617.12691612281-112.2424896876296148.11557356482-209.373083877193
285897.55724.65758328061-128.979624860896199.32204158028-172.842416719385
2957805351.06332282325-41.591832418986250.52850959573-428.936677176749
306126.55981.94331478757-101.1840497136786372.2407349261-144.556685212426
316200.55878.9485864418728.09845330164786493.95296025648-321.551413558126
326435.56306.56329999098-132.6862756373696697.12297564639-128.936700009021
3366646279.98126171857147.725747245136900.2929910363-384.018738281433
346723.56209.36512205197101.9709498157817135.66392813225-514.134877948031
3572016955.9156446977175.04949007409167371.0348652282-245.08435530229
367899.58085.99440639098167.4501730477467545.55542056127186.494406390982
3784619151.3758128390250.54821126663867720.07597589434690.375812839017
388665.59502.96285965666-54.15955377138267882.19669411472837.462859656658
3986509367.92507735253-112.2424896876298044.3174123351717.925077352526
408403.58731.368448865-128.979624860898204.61117599589327.868448864998
4186078890.6868927623-41.591832418988364.90493965668283.6868927623
428057.57701.6197855503-101.1840497136788514.56426416338-355.880214449705
4383367979.6779580282728.09845330164788664.22358867009-356.322041971733
4478637056.69187632596-132.6862756373698801.99439931141-806.308123674037



Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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):
par8 <- 'FALSE'
par7 <- '1'
par6 <- ''
par5 <- '1'
par4 <- ''
par3 <- '0'
par2 <- 'periodic'
par1 <- '12'
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')