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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationMon, 08 Dec 2008 13:09:08 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/08/t1228766971s72akx79ydisswt.htm/, Retrieved Thu, 16 May 2024 09:12:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30909, Retrieved Thu, 16 May 2024 09:12:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Spectral Analysis] [] [2008-12-08 20:09:08] [6912578025c824de531bc660dd61b996] [Current]
F         [Spectral Analysis] [part 3 spectrale ...] [2008-12-09 07:34:19] [b47fceb71c9525e79a89b5fc6d023d0e]
Feedback Forum
2008-12-12 21:47:46 [Kim Wester] [reply] 
Het is niet erg dat de lijn zich deels buiten de stippellijnen bevindt.
Truc: afwijking boven de stippellijn is een AR proces. Afwijking beneden de stippellijn is een MA proces.
2008-12-13 12:02:31 [Kevin Engels] [reply] 
Er kroop een foutje bij je spectral analyse, we gaan immers d en D instellen op 1n we bekomen dan deze plot:

http://www.freestatistics.org/blog/index.php?v=date/2008/Dec/07/t1228668023dt7cysegbxcgv51.htm

We zien nu geen dalende trend meer, ook geen duidelijke uitschieters met seizonaliteit. Op het cumulative periodogram merken we wel een golfbeweging met korte frequenties en lange periodes maar we zien geen trend wat binnen de economie vergelijkbaar is met de conjunctuur. Aangezien de plot vooral links ligt van de stippelijn zullen we het AR-model gebruiken, dat het beste dienst om conjunctuur te modelleren.
2008-12-13 13:03:38 [Ellen Smolders] [reply] 
De student heeft de juiste berekeningen gemaakt maar geen verdere uitleg gegeven. Toevoeging:
We zien dat de lange termijn trend verdwenen is. Enkel de seizoenale pieken die op regelmatige afstand van elkaar staan, vinden we nog terug. We kunnen de seizoenaliteit ook afleiden uit de tabel.
2008-12-13 14:42:00 [An De Koninck] [reply] 
Je hebt geprobeerd om de seizonaliteit die je nog zag bij het model waarbij d=1 en D=1, weg te werken maar dit is niet gelukt door de parameter d op 0 te stellen.
Deze berekening was dus niet nodig. Het is goed genoeg om de paramters d en D op 1 te laten staan, dit hebben we tijdens het hoorcollege ook gehoord.
2008-12-15 13:44:09 [Kristof Augustyns] [reply] 
Lange termijntrent is hier inderdaad verdwenen.
De seizoenaliteit kan men terugzien in de tabel.
Correct gedaan, uitleg is wel niet veel soeps.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
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277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30909&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30909&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30909&T=0

As an alternative you can also use a QR Code:  
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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)155.412414
0.0053 (187.5)1219.726077
0.008 (125)10.065361
0.0107 (93.75)132.0608
0.0133 (75)110.437548
0.016 (62.5)1896.162617
0.0187 (53.5714)2702.817522
0.0213 (46.875)106.271123
0.024 (41.6667)2309.540563
0.0267 (37.5)301.197768
0.0293 (34.0909)1451.778048
0.032 (31.25)151.220166
0.0347 (28.8462)1415.549349
0.0373 (26.7857)997.940862
0.04 (25)2705.145983
0.0427 (23.4375)488.325815
0.0453 (22.0588)181.703293
0.048 (20.8333)1119.176861
0.0507 (19.7368)3.747669
0.0533 (18.75)858.852997
0.056 (17.8571)464.44751
0.0587 (17.0455)1768.263398
0.0613 (16.3043)383.794639
0.064 (15.625)559.879956
0.0667 (15)154.238408
0.0693 (14.4231)99.286938
0.072 (13.8889)19.478547
0.0747 (13.3929)630.969368
0.0773 (12.931)436.178194
0.08 (12.5)2020.094791
0.0827 (12.0968)17818.444247
0.0853 (11.7188)3279.419113
0.088 (11.3636)2404.191015
0.0907 (11.0294)1020.405903
0.0933 (10.7143)381.175405
0.096 (10.4167)222.118736
0.0987 (10.1351)662.439328
0.1013 (9.8684)27.245818
0.104 (9.6154)1880.18148
0.1067 (9.375)294.024279
0.1093 (9.1463)48.917572
0.112 (8.9286)69.437828
0.1147 (8.7209)226.289869
0.1173 (8.5227)222.182401
0.12 (8.3333)158.398241
0.1227 (8.1522)430.994974
0.1253 (7.9787)193.891825
0.128 (7.8125)108.308662
0.1307 (7.6531)62.77404
0.1333 (7.5)477.727227
0.136 (7.3529)259.908824
0.1387 (7.2115)5.229673
0.1413 (7.0755)159.037858
0.144 (6.9444)689.617515
0.1467 (6.8182)329.872469
0.1493 (6.6964)394.366944
0.152 (6.5789)573.386706
0.1547 (6.4655)77.493785
0.1573 (6.3559)970.473686
0.16 (6.25)2677.729165
0.1627 (6.1475)5444.865078
0.1653 (6.0484)43191.668362
0.168 (5.9524)38013.137842
0.1707 (5.8594)5190.332755
0.1733 (5.7692)3211.100076
0.176 (5.6818)419.248146
0.1787 (5.597)422.819163
0.1813 (5.5147)105.021072
0.184 (5.4348)320.021985
0.1867 (5.3571)549.90214
0.1893 (5.2817)5.137505
0.192 (5.2083)4.09292
0.1947 (5.137)697.053663
0.1973 (5.0676)132.557496
0.2 (5)152.372479
0.2027 (4.9342)517.586355
0.2053 (4.8701)833.616753
0.208 (4.8077)443.430265
0.2107 (4.7468)19.086247
0.2133 (4.6875)257.967823
0.216 (4.6296)140.989345
0.2187 (4.5732)147.487008
0.2213 (4.5181)121.987619
0.224 (4.4643)77.571024
0.2267 (4.4118)96.259675
0.2293 (4.3605)292.989818
0.232 (4.3103)99.645
0.2347 (4.2614)259.338144
0.2373 (4.2135)988.07046
0.24 (4.1667)1989.709198
0.2427 (4.1209)132.60133
0.2453 (4.0761)1454.574833
0.248 (4.0323)11778.721831
0.2507 (3.9894)43515.553616
0.2533 (3.9474)3055.450439
0.256 (3.9062)824.667335
0.2587 (3.866)133.961221
0.2613 (3.8265)139.019113
0.264 (3.7879)347.705389
0.2667 (3.75)18.566897
0.2693 (3.7129)370.760089
0.272 (3.6765)336.079492
0.2747 (3.6408)373.852987
0.2773 (3.6058)145.098336
0.28 (3.5714)65.390918
0.2827 (3.5377)202.538912
0.2853 (3.5047)499.151096
0.288 (3.4722)144.550672
0.2907 (3.4404)155.762942
0.2933 (3.4091)116.686508
0.296 (3.3784)60.810304
0.2987 (3.3482)7.2873
0.3013 (3.3186)194.74728
0.304 (3.2895)68.993253
0.3067 (3.2609)14.680276
0.3093 (3.2328)175.556669
0.312 (3.2051)144.71366
0.3147 (3.178)288.790821
0.3173 (3.1513)73.369862
0.32 (3.125)27.699263
0.3227 (3.0992)702.028539
0.3253 (3.0738)47.511639
0.328 (3.0488)381.206802
0.3307 (3.0242)4146.671383
0.3333 (3)6357.758034
0.336 (2.9762)598.134723
0.3387 (2.9528)644.587937
0.3413 (2.9297)1.633617
0.344 (2.907)332.029053
0.3467 (2.8846)67.815874
0.3493 (2.8626)991.906242
0.352 (2.8409)246.063546
0.3547 (2.8195)34.253437
0.3573 (2.7985)82.96705
0.36 (2.7778)113.409026
0.3627 (2.7574)1231.23958
0.3653 (2.7372)163.24192
0.368 (2.7174)26.839455
0.3707 (2.6978)173.718118
0.3733 (2.6786)71.847183
0.376 (2.6596)99.550521
0.3787 (2.6408)127.6168
0.3813 (2.6224)343.250217
0.384 (2.6042)242.58679
0.3867 (2.5862)20.346686
0.3893 (2.5685)321.583339
0.392 (2.551)472.790806
0.3947 (2.5338)418.821976
0.3973 (2.5168)117.148531
0.4 (2.5)116.930692
0.4027 (2.4834)222.711891
0.4053 (2.4671)65.490657
0.408 (2.451)660.673703
0.4107 (2.4351)297.199675
0.4133 (2.4194)3513.406096
0.416 (2.4038)52462.677472
0.4187 (2.3885)13210.824903
0.4213 (2.3734)5309.938936
0.424 (2.3585)1292.97337
0.4267 (2.3438)433.339575
0.4293 (2.3292)165.68755
0.432 (2.3148)1024.7289
0.4347 (2.3006)117.389775
0.4373 (2.2866)244.221782
0.44 (2.2727)18.537956
0.4427 (2.259)353.742198
0.4453 (2.2455)376.72711
0.448 (2.2321)243.492041
0.4507 (2.2189)188.191399
0.4533 (2.2059)189.086363
0.456 (2.193)950.270157
0.4587 (2.1802)134.541325
0.4613 (2.1676)196.670731
0.464 (2.1552)168.411901
0.4667 (2.1429)203.516144
0.4693 (2.1307)2.816269
0.472 (2.1186)2046.739407
0.4747 (2.1067)13.830146
0.4773 (2.095)498.724388
0.48 (2.0833)1158.954172
0.4827 (2.0718)126.554305
0.4853 (2.0604)391.486523
0.488 (2.0492)107.690373
0.4907 (2.038)95.995518
0.4933 (2.027)311.153528
0.496 (2.0161)3426.230294
0.4987 (2.0053)1302.430056

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 1 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 155.412414 \tabularnewline
0.0053 (187.5) & 1219.726077 \tabularnewline
0.008 (125) & 10.065361 \tabularnewline
0.0107 (93.75) & 132.0608 \tabularnewline
0.0133 (75) & 110.437548 \tabularnewline
0.016 (62.5) & 1896.162617 \tabularnewline
0.0187 (53.5714) & 2702.817522 \tabularnewline
0.0213 (46.875) & 106.271123 \tabularnewline
0.024 (41.6667) & 2309.540563 \tabularnewline
0.0267 (37.5) & 301.197768 \tabularnewline
0.0293 (34.0909) & 1451.778048 \tabularnewline
0.032 (31.25) & 151.220166 \tabularnewline
0.0347 (28.8462) & 1415.549349 \tabularnewline
0.0373 (26.7857) & 997.940862 \tabularnewline
0.04 (25) & 2705.145983 \tabularnewline
0.0427 (23.4375) & 488.325815 \tabularnewline
0.0453 (22.0588) & 181.703293 \tabularnewline
0.048 (20.8333) & 1119.176861 \tabularnewline
0.0507 (19.7368) & 3.747669 \tabularnewline
0.0533 (18.75) & 858.852997 \tabularnewline
0.056 (17.8571) & 464.44751 \tabularnewline
0.0587 (17.0455) & 1768.263398 \tabularnewline
0.0613 (16.3043) & 383.794639 \tabularnewline
0.064 (15.625) & 559.879956 \tabularnewline
0.0667 (15) & 154.238408 \tabularnewline
0.0693 (14.4231) & 99.286938 \tabularnewline
0.072 (13.8889) & 19.478547 \tabularnewline
0.0747 (13.3929) & 630.969368 \tabularnewline
0.0773 (12.931) & 436.178194 \tabularnewline
0.08 (12.5) & 2020.094791 \tabularnewline
0.0827 (12.0968) & 17818.444247 \tabularnewline
0.0853 (11.7188) & 3279.419113 \tabularnewline
0.088 (11.3636) & 2404.191015 \tabularnewline
0.0907 (11.0294) & 1020.405903 \tabularnewline
0.0933 (10.7143) & 381.175405 \tabularnewline
0.096 (10.4167) & 222.118736 \tabularnewline
0.0987 (10.1351) & 662.439328 \tabularnewline
0.1013 (9.8684) & 27.245818 \tabularnewline
0.104 (9.6154) & 1880.18148 \tabularnewline
0.1067 (9.375) & 294.024279 \tabularnewline
0.1093 (9.1463) & 48.917572 \tabularnewline
0.112 (8.9286) & 69.437828 \tabularnewline
0.1147 (8.7209) & 226.289869 \tabularnewline
0.1173 (8.5227) & 222.182401 \tabularnewline
0.12 (8.3333) & 158.398241 \tabularnewline
0.1227 (8.1522) & 430.994974 \tabularnewline
0.1253 (7.9787) & 193.891825 \tabularnewline
0.128 (7.8125) & 108.308662 \tabularnewline
0.1307 (7.6531) & 62.77404 \tabularnewline
0.1333 (7.5) & 477.727227 \tabularnewline
0.136 (7.3529) & 259.908824 \tabularnewline
0.1387 (7.2115) & 5.229673 \tabularnewline
0.1413 (7.0755) & 159.037858 \tabularnewline
0.144 (6.9444) & 689.617515 \tabularnewline
0.1467 (6.8182) & 329.872469 \tabularnewline
0.1493 (6.6964) & 394.366944 \tabularnewline
0.152 (6.5789) & 573.386706 \tabularnewline
0.1547 (6.4655) & 77.493785 \tabularnewline
0.1573 (6.3559) & 970.473686 \tabularnewline
0.16 (6.25) & 2677.729165 \tabularnewline
0.1627 (6.1475) & 5444.865078 \tabularnewline
0.1653 (6.0484) & 43191.668362 \tabularnewline
0.168 (5.9524) & 38013.137842 \tabularnewline
0.1707 (5.8594) & 5190.332755 \tabularnewline
0.1733 (5.7692) & 3211.100076 \tabularnewline
0.176 (5.6818) & 419.248146 \tabularnewline
0.1787 (5.597) & 422.819163 \tabularnewline
0.1813 (5.5147) & 105.021072 \tabularnewline
0.184 (5.4348) & 320.021985 \tabularnewline
0.1867 (5.3571) & 549.90214 \tabularnewline
0.1893 (5.2817) & 5.137505 \tabularnewline
0.192 (5.2083) & 4.09292 \tabularnewline
0.1947 (5.137) & 697.053663 \tabularnewline
0.1973 (5.0676) & 132.557496 \tabularnewline
0.2 (5) & 152.372479 \tabularnewline
0.2027 (4.9342) & 517.586355 \tabularnewline
0.2053 (4.8701) & 833.616753 \tabularnewline
0.208 (4.8077) & 443.430265 \tabularnewline
0.2107 (4.7468) & 19.086247 \tabularnewline
0.2133 (4.6875) & 257.967823 \tabularnewline
0.216 (4.6296) & 140.989345 \tabularnewline
0.2187 (4.5732) & 147.487008 \tabularnewline
0.2213 (4.5181) & 121.987619 \tabularnewline
0.224 (4.4643) & 77.571024 \tabularnewline
0.2267 (4.4118) & 96.259675 \tabularnewline
0.2293 (4.3605) & 292.989818 \tabularnewline
0.232 (4.3103) & 99.645 \tabularnewline
0.2347 (4.2614) & 259.338144 \tabularnewline
0.2373 (4.2135) & 988.07046 \tabularnewline
0.24 (4.1667) & 1989.709198 \tabularnewline
0.2427 (4.1209) & 132.60133 \tabularnewline
0.2453 (4.0761) & 1454.574833 \tabularnewline
0.248 (4.0323) & 11778.721831 \tabularnewline
0.2507 (3.9894) & 43515.553616 \tabularnewline
0.2533 (3.9474) & 3055.450439 \tabularnewline
0.256 (3.9062) & 824.667335 \tabularnewline
0.2587 (3.866) & 133.961221 \tabularnewline
0.2613 (3.8265) & 139.019113 \tabularnewline
0.264 (3.7879) & 347.705389 \tabularnewline
0.2667 (3.75) & 18.566897 \tabularnewline
0.2693 (3.7129) & 370.760089 \tabularnewline
0.272 (3.6765) & 336.079492 \tabularnewline
0.2747 (3.6408) & 373.852987 \tabularnewline
0.2773 (3.6058) & 145.098336 \tabularnewline
0.28 (3.5714) & 65.390918 \tabularnewline
0.2827 (3.5377) & 202.538912 \tabularnewline
0.2853 (3.5047) & 499.151096 \tabularnewline
0.288 (3.4722) & 144.550672 \tabularnewline
0.2907 (3.4404) & 155.762942 \tabularnewline
0.2933 (3.4091) & 116.686508 \tabularnewline
0.296 (3.3784) & 60.810304 \tabularnewline
0.2987 (3.3482) & 7.2873 \tabularnewline
0.3013 (3.3186) & 194.74728 \tabularnewline
0.304 (3.2895) & 68.993253 \tabularnewline
0.3067 (3.2609) & 14.680276 \tabularnewline
0.3093 (3.2328) & 175.556669 \tabularnewline
0.312 (3.2051) & 144.71366 \tabularnewline
0.3147 (3.178) & 288.790821 \tabularnewline
0.3173 (3.1513) & 73.369862 \tabularnewline
0.32 (3.125) & 27.699263 \tabularnewline
0.3227 (3.0992) & 702.028539 \tabularnewline
0.3253 (3.0738) & 47.511639 \tabularnewline
0.328 (3.0488) & 381.206802 \tabularnewline
0.3307 (3.0242) & 4146.671383 \tabularnewline
0.3333 (3) & 6357.758034 \tabularnewline
0.336 (2.9762) & 598.134723 \tabularnewline
0.3387 (2.9528) & 644.587937 \tabularnewline
0.3413 (2.9297) & 1.633617 \tabularnewline
0.344 (2.907) & 332.029053 \tabularnewline
0.3467 (2.8846) & 67.815874 \tabularnewline
0.3493 (2.8626) & 991.906242 \tabularnewline
0.352 (2.8409) & 246.063546 \tabularnewline
0.3547 (2.8195) & 34.253437 \tabularnewline
0.3573 (2.7985) & 82.96705 \tabularnewline
0.36 (2.7778) & 113.409026 \tabularnewline
0.3627 (2.7574) & 1231.23958 \tabularnewline
0.3653 (2.7372) & 163.24192 \tabularnewline
0.368 (2.7174) & 26.839455 \tabularnewline
0.3707 (2.6978) & 173.718118 \tabularnewline
0.3733 (2.6786) & 71.847183 \tabularnewline
0.376 (2.6596) & 99.550521 \tabularnewline
0.3787 (2.6408) & 127.6168 \tabularnewline
0.3813 (2.6224) & 343.250217 \tabularnewline
0.384 (2.6042) & 242.58679 \tabularnewline
0.3867 (2.5862) & 20.346686 \tabularnewline
0.3893 (2.5685) & 321.583339 \tabularnewline
0.392 (2.551) & 472.790806 \tabularnewline
0.3947 (2.5338) & 418.821976 \tabularnewline
0.3973 (2.5168) & 117.148531 \tabularnewline
0.4 (2.5) & 116.930692 \tabularnewline
0.4027 (2.4834) & 222.711891 \tabularnewline
0.4053 (2.4671) & 65.490657 \tabularnewline
0.408 (2.451) & 660.673703 \tabularnewline
0.4107 (2.4351) & 297.199675 \tabularnewline
0.4133 (2.4194) & 3513.406096 \tabularnewline
0.416 (2.4038) & 52462.677472 \tabularnewline
0.4187 (2.3885) & 13210.824903 \tabularnewline
0.4213 (2.3734) & 5309.938936 \tabularnewline
0.424 (2.3585) & 1292.97337 \tabularnewline
0.4267 (2.3438) & 433.339575 \tabularnewline
0.4293 (2.3292) & 165.68755 \tabularnewline
0.432 (2.3148) & 1024.7289 \tabularnewline
0.4347 (2.3006) & 117.389775 \tabularnewline
0.4373 (2.2866) & 244.221782 \tabularnewline
0.44 (2.2727) & 18.537956 \tabularnewline
0.4427 (2.259) & 353.742198 \tabularnewline
0.4453 (2.2455) & 376.72711 \tabularnewline
0.448 (2.2321) & 243.492041 \tabularnewline
0.4507 (2.2189) & 188.191399 \tabularnewline
0.4533 (2.2059) & 189.086363 \tabularnewline
0.456 (2.193) & 950.270157 \tabularnewline
0.4587 (2.1802) & 134.541325 \tabularnewline
0.4613 (2.1676) & 196.670731 \tabularnewline
0.464 (2.1552) & 168.411901 \tabularnewline
0.4667 (2.1429) & 203.516144 \tabularnewline
0.4693 (2.1307) & 2.816269 \tabularnewline
0.472 (2.1186) & 2046.739407 \tabularnewline
0.4747 (2.1067) & 13.830146 \tabularnewline
0.4773 (2.095) & 498.724388 \tabularnewline
0.48 (2.0833) & 1158.954172 \tabularnewline
0.4827 (2.0718) & 126.554305 \tabularnewline
0.4853 (2.0604) & 391.486523 \tabularnewline
0.488 (2.0492) & 107.690373 \tabularnewline
0.4907 (2.038) & 95.995518 \tabularnewline
0.4933 (2.027) & 311.153528 \tabularnewline
0.496 (2.0161) & 3426.230294 \tabularnewline
0.4987 (2.0053) & 1302.430056 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30909&T=1

[TABLE]
[ROW][C]Raw Periodogram[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda)[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]1[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0027 (375)[/C][C]155.412414[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]1219.726077[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]10.065361[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]132.0608[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]110.437548[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]1896.162617[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]2702.817522[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]106.271123[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]2309.540563[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]301.197768[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]1451.778048[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]151.220166[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]1415.549349[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]997.940862[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]2705.145983[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]488.325815[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]181.703293[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]1119.176861[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]3.747669[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]858.852997[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]464.44751[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]1768.263398[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]383.794639[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]559.879956[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]154.238408[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]99.286938[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]19.478547[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]630.969368[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]436.178194[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]2020.094791[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]17818.444247[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]3279.419113[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]2404.191015[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]1020.405903[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]381.175405[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]222.118736[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]662.439328[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]27.245818[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]1880.18148[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]294.024279[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]48.917572[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]69.437828[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]226.289869[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]222.182401[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]158.398241[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]430.994974[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]193.891825[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]108.308662[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]62.77404[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]477.727227[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]259.908824[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]5.229673[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]159.037858[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]689.617515[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]329.872469[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]394.366944[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]573.386706[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]77.493785[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]970.473686[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2677.729165[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]5444.865078[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]43191.668362[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]38013.137842[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]5190.332755[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]3211.100076[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]419.248146[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]422.819163[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]105.021072[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]320.021985[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]549.90214[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]5.137505[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]4.09292[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]697.053663[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]132.557496[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]152.372479[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]517.586355[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]833.616753[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]443.430265[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]19.086247[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]257.967823[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]140.989345[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]147.487008[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]121.987619[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]77.571024[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]96.259675[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]292.989818[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]99.645[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]259.338144[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]988.07046[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]1989.709198[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]132.60133[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]1454.574833[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]11778.721831[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]43515.553616[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]3055.450439[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]824.667335[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]133.961221[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]139.019113[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]347.705389[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]18.566897[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]370.760089[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]336.079492[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]373.852987[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]145.098336[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]65.390918[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]202.538912[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]499.151096[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]144.550672[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]155.762942[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]116.686508[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]60.810304[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]7.2873[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]194.74728[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]68.993253[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]14.680276[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]175.556669[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]144.71366[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]288.790821[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]73.369862[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]27.699263[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]702.028539[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]47.511639[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]381.206802[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]4146.671383[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]6357.758034[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]598.134723[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]644.587937[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]1.633617[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]332.029053[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]67.815874[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]991.906242[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]246.063546[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]34.253437[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]82.96705[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]113.409026[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]1231.23958[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]163.24192[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]26.839455[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]173.718118[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]71.847183[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]99.550521[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]127.6168[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]343.250217[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]242.58679[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]20.346686[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]321.583339[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]472.790806[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]418.821976[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]117.148531[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]116.930692[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]222.711891[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]65.490657[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]660.673703[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]297.199675[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]3513.406096[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]52462.677472[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]13210.824903[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]5309.938936[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]1292.97337[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]433.339575[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]165.68755[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]1024.7289[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]117.389775[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]244.221782[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]18.537956[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]353.742198[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]376.72711[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]243.492041[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]188.191399[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]189.086363[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]950.270157[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]134.541325[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]196.670731[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]168.411901[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]203.516144[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]2.816269[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]2046.739407[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]13.830146[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]498.724388[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]1158.954172[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]126.554305[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]391.486523[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]107.690373[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]95.995518[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]311.153528[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]3426.230294[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]1302.430056[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30909&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30909&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)155.412414
0.0053 (187.5)1219.726077
0.008 (125)10.065361
0.0107 (93.75)132.0608
0.0133 (75)110.437548
0.016 (62.5)1896.162617
0.0187 (53.5714)2702.817522
0.0213 (46.875)106.271123
0.024 (41.6667)2309.540563
0.0267 (37.5)301.197768
0.0293 (34.0909)1451.778048
0.032 (31.25)151.220166
0.0347 (28.8462)1415.549349
0.0373 (26.7857)997.940862
0.04 (25)2705.145983
0.0427 (23.4375)488.325815
0.0453 (22.0588)181.703293
0.048 (20.8333)1119.176861
0.0507 (19.7368)3.747669
0.0533 (18.75)858.852997
0.056 (17.8571)464.44751
0.0587 (17.0455)1768.263398
0.0613 (16.3043)383.794639
0.064 (15.625)559.879956
0.0667 (15)154.238408
0.0693 (14.4231)99.286938
0.072 (13.8889)19.478547
0.0747 (13.3929)630.969368
0.0773 (12.931)436.178194
0.08 (12.5)2020.094791
0.0827 (12.0968)17818.444247
0.0853 (11.7188)3279.419113
0.088 (11.3636)2404.191015
0.0907 (11.0294)1020.405903
0.0933 (10.7143)381.175405
0.096 (10.4167)222.118736
0.0987 (10.1351)662.439328
0.1013 (9.8684)27.245818
0.104 (9.6154)1880.18148
0.1067 (9.375)294.024279
0.1093 (9.1463)48.917572
0.112 (8.9286)69.437828
0.1147 (8.7209)226.289869
0.1173 (8.5227)222.182401
0.12 (8.3333)158.398241
0.1227 (8.1522)430.994974
0.1253 (7.9787)193.891825
0.128 (7.8125)108.308662
0.1307 (7.6531)62.77404
0.1333 (7.5)477.727227
0.136 (7.3529)259.908824
0.1387 (7.2115)5.229673
0.1413 (7.0755)159.037858
0.144 (6.9444)689.617515
0.1467 (6.8182)329.872469
0.1493 (6.6964)394.366944
0.152 (6.5789)573.386706
0.1547 (6.4655)77.493785
0.1573 (6.3559)970.473686
0.16 (6.25)2677.729165
0.1627 (6.1475)5444.865078
0.1653 (6.0484)43191.668362
0.168 (5.9524)38013.137842
0.1707 (5.8594)5190.332755
0.1733 (5.7692)3211.100076
0.176 (5.6818)419.248146
0.1787 (5.597)422.819163
0.1813 (5.5147)105.021072
0.184 (5.4348)320.021985
0.1867 (5.3571)549.90214
0.1893 (5.2817)5.137505
0.192 (5.2083)4.09292
0.1947 (5.137)697.053663
0.1973 (5.0676)132.557496
0.2 (5)152.372479
0.2027 (4.9342)517.586355
0.2053 (4.8701)833.616753
0.208 (4.8077)443.430265
0.2107 (4.7468)19.086247
0.2133 (4.6875)257.967823
0.216 (4.6296)140.989345
0.2187 (4.5732)147.487008
0.2213 (4.5181)121.987619
0.224 (4.4643)77.571024
0.2267 (4.4118)96.259675
0.2293 (4.3605)292.989818
0.232 (4.3103)99.645
0.2347 (4.2614)259.338144
0.2373 (4.2135)988.07046
0.24 (4.1667)1989.709198
0.2427 (4.1209)132.60133
0.2453 (4.0761)1454.574833
0.248 (4.0323)11778.721831
0.2507 (3.9894)43515.553616
0.2533 (3.9474)3055.450439
0.256 (3.9062)824.667335
0.2587 (3.866)133.961221
0.2613 (3.8265)139.019113
0.264 (3.7879)347.705389
0.2667 (3.75)18.566897
0.2693 (3.7129)370.760089
0.272 (3.6765)336.079492
0.2747 (3.6408)373.852987
0.2773 (3.6058)145.098336
0.28 (3.5714)65.390918
0.2827 (3.5377)202.538912
0.2853 (3.5047)499.151096
0.288 (3.4722)144.550672
0.2907 (3.4404)155.762942
0.2933 (3.4091)116.686508
0.296 (3.3784)60.810304
0.2987 (3.3482)7.2873
0.3013 (3.3186)194.74728
0.304 (3.2895)68.993253
0.3067 (3.2609)14.680276
0.3093 (3.2328)175.556669
0.312 (3.2051)144.71366
0.3147 (3.178)288.790821
0.3173 (3.1513)73.369862
0.32 (3.125)27.699263
0.3227 (3.0992)702.028539
0.3253 (3.0738)47.511639
0.328 (3.0488)381.206802
0.3307 (3.0242)4146.671383
0.3333 (3)6357.758034
0.336 (2.9762)598.134723
0.3387 (2.9528)644.587937
0.3413 (2.9297)1.633617
0.344 (2.907)332.029053
0.3467 (2.8846)67.815874
0.3493 (2.8626)991.906242
0.352 (2.8409)246.063546
0.3547 (2.8195)34.253437
0.3573 (2.7985)82.96705
0.36 (2.7778)113.409026
0.3627 (2.7574)1231.23958
0.3653 (2.7372)163.24192
0.368 (2.7174)26.839455
0.3707 (2.6978)173.718118
0.3733 (2.6786)71.847183
0.376 (2.6596)99.550521
0.3787 (2.6408)127.6168
0.3813 (2.6224)343.250217
0.384 (2.6042)242.58679
0.3867 (2.5862)20.346686
0.3893 (2.5685)321.583339
0.392 (2.551)472.790806
0.3947 (2.5338)418.821976
0.3973 (2.5168)117.148531
0.4 (2.5)116.930692
0.4027 (2.4834)222.711891
0.4053 (2.4671)65.490657
0.408 (2.451)660.673703
0.4107 (2.4351)297.199675
0.4133 (2.4194)3513.406096
0.416 (2.4038)52462.677472
0.4187 (2.3885)13210.824903
0.4213 (2.3734)5309.938936
0.424 (2.3585)1292.97337
0.4267 (2.3438)433.339575
0.4293 (2.3292)165.68755
0.432 (2.3148)1024.7289
0.4347 (2.3006)117.389775
0.4373 (2.2866)244.221782
0.44 (2.2727)18.537956
0.4427 (2.259)353.742198
0.4453 (2.2455)376.72711
0.448 (2.2321)243.492041
0.4507 (2.2189)188.191399
0.4533 (2.2059)189.086363
0.456 (2.193)950.270157
0.4587 (2.1802)134.541325
0.4613 (2.1676)196.670731
0.464 (2.1552)168.411901
0.4667 (2.1429)203.516144
0.4693 (2.1307)2.816269
0.472 (2.1186)2046.739407
0.4747 (2.1067)13.830146
0.4773 (2.095)498.724388
0.48 (2.0833)1158.954172
0.4827 (2.0718)126.554305
0.4853 (2.0604)391.486523
0.488 (2.0492)107.690373
0.4907 (2.038)95.995518
0.4933 (2.027)311.153528
0.496 (2.0161)3426.230294
0.4987 (2.0053)1302.430056


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')