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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 28 Dec 2010 18:26:14 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/28/t12935606548u62xiztye8tg3k.htm/, Retrieved Sat, 04 May 2024 23:57:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116458, Retrieved Sat, 04 May 2024 23:57:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [Unemployment] [2010-11-30 13:33:27] [b98453cac15ba1066b407e146608df68]
-         [Classical Decomposition] [CD] [2010-12-10 16:27:20] [dc73d270d5d96f29ff77294e1b86f79b]
-    D        [Classical Decomposition] [] [2010-12-28 18:26:14] [e8bffe463cbaa638f5c41694f8d1de39] [Current]
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Dataseries X:
548604
563668
586111
604378
600991
544686
537034
551531
563250
574761
580112
575093
557560
564478
580523
596594
586570
536214
523597
536535
536322
532638
528222
516141
501866
506174
517945
533590
528379
477580
469357
490243
492622
507561
516922
514258
509846
527070
541657
564591
555362
498662
511038
525919
531673
548854
560576
557274
565742




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116458&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116458&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116458&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1548604NANA-9043.07060185185NA
2563668NANA1157.04050925921NA
3586111NANA16085.6655092592NA
4604378NANA35100.7210648148NA
5600991NANA27577.2071759259NA
6544686NANA-24522.3067129630NA
7537034542348.290509259569558.083333333-27209.7928240741-5314.29050925921
8551531553482.262731481569965-16482.7372685185-1951.26273148146
9563250559761.234953704569765.916666667-10004.68171296293488.76504629629
10574761567912.721064815569208.75-1296.028935185176848.27893518517
11580112573536.498842593568283.5416666675252.957175925926575.50115740742
12575093570714.693287037567329.6666666673385.026620370384378.30671296292
13557560557373.721064815566416.791666667-9043.07060185185186.278935185168
14564478566389.123842593565232.0833333331157.04050925921-1911.12384259258
15580523579570.915509259563485.2516085.6655092592952.084490740788
16596594595708.846064815560608.12535100.7210648148885.153935185168
17586570584268.123842593556690.91666666727577.20717592592301.87615740742
18536214527550.193287037552072.5-24522.30671296308663.80671296292
19523597520085.790509259547295.583333333-27209.79282407413511.20949074079
20536535526062.929398148542545.666666667-16482.737268518510472.0706018518
21536322527504.234953704537508.916666667-10004.68171296298817.7650462963
22532638530980.304398148532276.333333333-1296.028935185171657.69560185191
23528222532479.498842593527226.5416666675252.95717592592-4257.49884259253
24516141525743.859953704522358.8333333333385.02662037038-9602.85995370365
25501866508612.679398148517655.75-9043.07060185185-6746.67939814809
26506174514623.957175926513466.9166666671157.04050925921-8449.95717592584
27517945525802.915509259509717.2516085.6655092592-7857.91550925915
28533590541952.262731481506851.54166666735100.7210648148-8362.2627314814
29528379532913.040509259505335.83333333327577.2071759259-4534.04050925915
30477580480264.234953704504786.541666667-24522.3067129630-2684.23495370359
31469357477830.790509259505040.583333333-27209.7928240741-8473.79050925915
32490243489761.012731481506243.75-16482.7372685185481.987268518656
33492622498097.734953704508102.416666667-10004.6817129629-5475.73495370359
34507561509086.096064815510382.125-1296.02893518517-1525.09606481472
35516922518051.082175926512798.1255252.95717592592-1129.08217592578
36514258518185.859953704514800.8333333333385.02662037038-3927.85995370365
37509846508372.887731481517415.958333333-9043.070601851851473.11226851860
38527070521796.207175926520639.1666666671157.040509259215273.79282407416
39541657539838.457175926523752.79166666716085.66550925921818.54282407416
40564591562201.179398148527100.45833333335100.72106481482389.82060185191
41555362558217.123842593530639.91666666727577.2071759259-2855.12384259258
42498662509728.859953704534251.166666667-24522.3067129630-11066.8599537036
43511038511162.707175926538372.5-27209.7928240741-124.707175925956
44525919NANA-16482.7372685185NA
45531673NANA-10004.6817129629NA
46548854NANA-1296.02893518517NA
47560576NANA5252.95717592592NA
48557274NANA3385.02662037038NA
49565742NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 548604 & NA & NA & -9043.07060185185 & NA \tabularnewline
2 & 563668 & NA & NA & 1157.04050925921 & NA \tabularnewline
3 & 586111 & NA & NA & 16085.6655092592 & NA \tabularnewline
4 & 604378 & NA & NA & 35100.7210648148 & NA \tabularnewline
5 & 600991 & NA & NA & 27577.2071759259 & NA \tabularnewline
6 & 544686 & NA & NA & -24522.3067129630 & NA \tabularnewline
7 & 537034 & 542348.290509259 & 569558.083333333 & -27209.7928240741 & -5314.29050925921 \tabularnewline
8 & 551531 & 553482.262731481 & 569965 & -16482.7372685185 & -1951.26273148146 \tabularnewline
9 & 563250 & 559761.234953704 & 569765.916666667 & -10004.6817129629 & 3488.76504629629 \tabularnewline
10 & 574761 & 567912.721064815 & 569208.75 & -1296.02893518517 & 6848.27893518517 \tabularnewline
11 & 580112 & 573536.498842593 & 568283.541666667 & 5252.95717592592 & 6575.50115740742 \tabularnewline
12 & 575093 & 570714.693287037 & 567329.666666667 & 3385.02662037038 & 4378.30671296292 \tabularnewline
13 & 557560 & 557373.721064815 & 566416.791666667 & -9043.07060185185 & 186.278935185168 \tabularnewline
14 & 564478 & 566389.123842593 & 565232.083333333 & 1157.04050925921 & -1911.12384259258 \tabularnewline
15 & 580523 & 579570.915509259 & 563485.25 & 16085.6655092592 & 952.084490740788 \tabularnewline
16 & 596594 & 595708.846064815 & 560608.125 & 35100.7210648148 & 885.153935185168 \tabularnewline
17 & 586570 & 584268.123842593 & 556690.916666667 & 27577.2071759259 & 2301.87615740742 \tabularnewline
18 & 536214 & 527550.193287037 & 552072.5 & -24522.3067129630 & 8663.80671296292 \tabularnewline
19 & 523597 & 520085.790509259 & 547295.583333333 & -27209.7928240741 & 3511.20949074079 \tabularnewline
20 & 536535 & 526062.929398148 & 542545.666666667 & -16482.7372685185 & 10472.0706018518 \tabularnewline
21 & 536322 & 527504.234953704 & 537508.916666667 & -10004.6817129629 & 8817.7650462963 \tabularnewline
22 & 532638 & 530980.304398148 & 532276.333333333 & -1296.02893518517 & 1657.69560185191 \tabularnewline
23 & 528222 & 532479.498842593 & 527226.541666667 & 5252.95717592592 & -4257.49884259253 \tabularnewline
24 & 516141 & 525743.859953704 & 522358.833333333 & 3385.02662037038 & -9602.85995370365 \tabularnewline
25 & 501866 & 508612.679398148 & 517655.75 & -9043.07060185185 & -6746.67939814809 \tabularnewline
26 & 506174 & 514623.957175926 & 513466.916666667 & 1157.04050925921 & -8449.95717592584 \tabularnewline
27 & 517945 & 525802.915509259 & 509717.25 & 16085.6655092592 & -7857.91550925915 \tabularnewline
28 & 533590 & 541952.262731481 & 506851.541666667 & 35100.7210648148 & -8362.2627314814 \tabularnewline
29 & 528379 & 532913.040509259 & 505335.833333333 & 27577.2071759259 & -4534.04050925915 \tabularnewline
30 & 477580 & 480264.234953704 & 504786.541666667 & -24522.3067129630 & -2684.23495370359 \tabularnewline
31 & 469357 & 477830.790509259 & 505040.583333333 & -27209.7928240741 & -8473.79050925915 \tabularnewline
32 & 490243 & 489761.012731481 & 506243.75 & -16482.7372685185 & 481.987268518656 \tabularnewline
33 & 492622 & 498097.734953704 & 508102.416666667 & -10004.6817129629 & -5475.73495370359 \tabularnewline
34 & 507561 & 509086.096064815 & 510382.125 & -1296.02893518517 & -1525.09606481472 \tabularnewline
35 & 516922 & 518051.082175926 & 512798.125 & 5252.95717592592 & -1129.08217592578 \tabularnewline
36 & 514258 & 518185.859953704 & 514800.833333333 & 3385.02662037038 & -3927.85995370365 \tabularnewline
37 & 509846 & 508372.887731481 & 517415.958333333 & -9043.07060185185 & 1473.11226851860 \tabularnewline
38 & 527070 & 521796.207175926 & 520639.166666667 & 1157.04050925921 & 5273.79282407416 \tabularnewline
39 & 541657 & 539838.457175926 & 523752.791666667 & 16085.6655092592 & 1818.54282407416 \tabularnewline
40 & 564591 & 562201.179398148 & 527100.458333333 & 35100.7210648148 & 2389.82060185191 \tabularnewline
41 & 555362 & 558217.123842593 & 530639.916666667 & 27577.2071759259 & -2855.12384259258 \tabularnewline
42 & 498662 & 509728.859953704 & 534251.166666667 & -24522.3067129630 & -11066.8599537036 \tabularnewline
43 & 511038 & 511162.707175926 & 538372.5 & -27209.7928240741 & -124.707175925956 \tabularnewline
44 & 525919 & NA & NA & -16482.7372685185 & NA \tabularnewline
45 & 531673 & NA & NA & -10004.6817129629 & NA \tabularnewline
46 & 548854 & NA & NA & -1296.02893518517 & NA \tabularnewline
47 & 560576 & NA & NA & 5252.95717592592 & NA \tabularnewline
48 & 557274 & NA & NA & 3385.02662037038 & NA \tabularnewline
49 & 565742 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116458&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]548604[/C][C]NA[/C][C]NA[/C][C]-9043.07060185185[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]563668[/C][C]NA[/C][C]NA[/C][C]1157.04050925921[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]586111[/C][C]NA[/C][C]NA[/C][C]16085.6655092592[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]604378[/C][C]NA[/C][C]NA[/C][C]35100.7210648148[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]600991[/C][C]NA[/C][C]NA[/C][C]27577.2071759259[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]544686[/C][C]NA[/C][C]NA[/C][C]-24522.3067129630[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]537034[/C][C]542348.290509259[/C][C]569558.083333333[/C][C]-27209.7928240741[/C][C]-5314.29050925921[/C][/ROW]
[ROW][C]8[/C][C]551531[/C][C]553482.262731481[/C][C]569965[/C][C]-16482.7372685185[/C][C]-1951.26273148146[/C][/ROW]
[ROW][C]9[/C][C]563250[/C][C]559761.234953704[/C][C]569765.916666667[/C][C]-10004.6817129629[/C][C]3488.76504629629[/C][/ROW]
[ROW][C]10[/C][C]574761[/C][C]567912.721064815[/C][C]569208.75[/C][C]-1296.02893518517[/C][C]6848.27893518517[/C][/ROW]
[ROW][C]11[/C][C]580112[/C][C]573536.498842593[/C][C]568283.541666667[/C][C]5252.95717592592[/C][C]6575.50115740742[/C][/ROW]
[ROW][C]12[/C][C]575093[/C][C]570714.693287037[/C][C]567329.666666667[/C][C]3385.02662037038[/C][C]4378.30671296292[/C][/ROW]
[ROW][C]13[/C][C]557560[/C][C]557373.721064815[/C][C]566416.791666667[/C][C]-9043.07060185185[/C][C]186.278935185168[/C][/ROW]
[ROW][C]14[/C][C]564478[/C][C]566389.123842593[/C][C]565232.083333333[/C][C]1157.04050925921[/C][C]-1911.12384259258[/C][/ROW]
[ROW][C]15[/C][C]580523[/C][C]579570.915509259[/C][C]563485.25[/C][C]16085.6655092592[/C][C]952.084490740788[/C][/ROW]
[ROW][C]16[/C][C]596594[/C][C]595708.846064815[/C][C]560608.125[/C][C]35100.7210648148[/C][C]885.153935185168[/C][/ROW]
[ROW][C]17[/C][C]586570[/C][C]584268.123842593[/C][C]556690.916666667[/C][C]27577.2071759259[/C][C]2301.87615740742[/C][/ROW]
[ROW][C]18[/C][C]536214[/C][C]527550.193287037[/C][C]552072.5[/C][C]-24522.3067129630[/C][C]8663.80671296292[/C][/ROW]
[ROW][C]19[/C][C]523597[/C][C]520085.790509259[/C][C]547295.583333333[/C][C]-27209.7928240741[/C][C]3511.20949074079[/C][/ROW]
[ROW][C]20[/C][C]536535[/C][C]526062.929398148[/C][C]542545.666666667[/C][C]-16482.7372685185[/C][C]10472.0706018518[/C][/ROW]
[ROW][C]21[/C][C]536322[/C][C]527504.234953704[/C][C]537508.916666667[/C][C]-10004.6817129629[/C][C]8817.7650462963[/C][/ROW]
[ROW][C]22[/C][C]532638[/C][C]530980.304398148[/C][C]532276.333333333[/C][C]-1296.02893518517[/C][C]1657.69560185191[/C][/ROW]
[ROW][C]23[/C][C]528222[/C][C]532479.498842593[/C][C]527226.541666667[/C][C]5252.95717592592[/C][C]-4257.49884259253[/C][/ROW]
[ROW][C]24[/C][C]516141[/C][C]525743.859953704[/C][C]522358.833333333[/C][C]3385.02662037038[/C][C]-9602.85995370365[/C][/ROW]
[ROW][C]25[/C][C]501866[/C][C]508612.679398148[/C][C]517655.75[/C][C]-9043.07060185185[/C][C]-6746.67939814809[/C][/ROW]
[ROW][C]26[/C][C]506174[/C][C]514623.957175926[/C][C]513466.916666667[/C][C]1157.04050925921[/C][C]-8449.95717592584[/C][/ROW]
[ROW][C]27[/C][C]517945[/C][C]525802.915509259[/C][C]509717.25[/C][C]16085.6655092592[/C][C]-7857.91550925915[/C][/ROW]
[ROW][C]28[/C][C]533590[/C][C]541952.262731481[/C][C]506851.541666667[/C][C]35100.7210648148[/C][C]-8362.2627314814[/C][/ROW]
[ROW][C]29[/C][C]528379[/C][C]532913.040509259[/C][C]505335.833333333[/C][C]27577.2071759259[/C][C]-4534.04050925915[/C][/ROW]
[ROW][C]30[/C][C]477580[/C][C]480264.234953704[/C][C]504786.541666667[/C][C]-24522.3067129630[/C][C]-2684.23495370359[/C][/ROW]
[ROW][C]31[/C][C]469357[/C][C]477830.790509259[/C][C]505040.583333333[/C][C]-27209.7928240741[/C][C]-8473.79050925915[/C][/ROW]
[ROW][C]32[/C][C]490243[/C][C]489761.012731481[/C][C]506243.75[/C][C]-16482.7372685185[/C][C]481.987268518656[/C][/ROW]
[ROW][C]33[/C][C]492622[/C][C]498097.734953704[/C][C]508102.416666667[/C][C]-10004.6817129629[/C][C]-5475.73495370359[/C][/ROW]
[ROW][C]34[/C][C]507561[/C][C]509086.096064815[/C][C]510382.125[/C][C]-1296.02893518517[/C][C]-1525.09606481472[/C][/ROW]
[ROW][C]35[/C][C]516922[/C][C]518051.082175926[/C][C]512798.125[/C][C]5252.95717592592[/C][C]-1129.08217592578[/C][/ROW]
[ROW][C]36[/C][C]514258[/C][C]518185.859953704[/C][C]514800.833333333[/C][C]3385.02662037038[/C][C]-3927.85995370365[/C][/ROW]
[ROW][C]37[/C][C]509846[/C][C]508372.887731481[/C][C]517415.958333333[/C][C]-9043.07060185185[/C][C]1473.11226851860[/C][/ROW]
[ROW][C]38[/C][C]527070[/C][C]521796.207175926[/C][C]520639.166666667[/C][C]1157.04050925921[/C][C]5273.79282407416[/C][/ROW]
[ROW][C]39[/C][C]541657[/C][C]539838.457175926[/C][C]523752.791666667[/C][C]16085.6655092592[/C][C]1818.54282407416[/C][/ROW]
[ROW][C]40[/C][C]564591[/C][C]562201.179398148[/C][C]527100.458333333[/C][C]35100.7210648148[/C][C]2389.82060185191[/C][/ROW]
[ROW][C]41[/C][C]555362[/C][C]558217.123842593[/C][C]530639.916666667[/C][C]27577.2071759259[/C][C]-2855.12384259258[/C][/ROW]
[ROW][C]42[/C][C]498662[/C][C]509728.859953704[/C][C]534251.166666667[/C][C]-24522.3067129630[/C][C]-11066.8599537036[/C][/ROW]
[ROW][C]43[/C][C]511038[/C][C]511162.707175926[/C][C]538372.5[/C][C]-27209.7928240741[/C][C]-124.707175925956[/C][/ROW]
[ROW][C]44[/C][C]525919[/C][C]NA[/C][C]NA[/C][C]-16482.7372685185[/C][C]NA[/C][/ROW]
[ROW][C]45[/C][C]531673[/C][C]NA[/C][C]NA[/C][C]-10004.6817129629[/C][C]NA[/C][/ROW]
[ROW][C]46[/C][C]548854[/C][C]NA[/C][C]NA[/C][C]-1296.02893518517[/C][C]NA[/C][/ROW]
[ROW][C]47[/C][C]560576[/C][C]NA[/C][C]NA[/C][C]5252.95717592592[/C][C]NA[/C][/ROW]
[ROW][C]48[/C][C]557274[/C][C]NA[/C][C]NA[/C][C]3385.02662037038[/C][C]NA[/C][/ROW]
[ROW][C]49[/C][C]565742[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116458&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116458&T=1

As an alternative you can also use a QR Code:  

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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1548604NANA-9043.07060185185NA
2563668NANA1157.04050925921NA
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Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')