FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationWed, 03 Dec 2008 08:43:09 -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/03/t122831906624pqixtqzuf75ri.htm/, Retrieved Fri, 17 May 2024 13:02:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28744, Retrieved Fri, 17 May 2024 13:02:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact271

Tree of Dependent Computations

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]
F RMP   [Spectral Analysis] [] [2008-12-03 15:35:57] [819b576fab25b35cfda70f80599828ec]
F   P       [Spectral Analysis] [Taak 10 Stap 2 Cu...] [2008-12-03 15:43:09] [e08fee3874f3333d6b7a377a061b860d] [Current]
F   P         [Spectral Analysis] [Taak 10 stap 2 Cu...] [2008-12-03 15:48:19] [819b576fab25b35cfda70f80599828ec]
F   PD          [Spectral Analysis] [Taak 10 Stap 2 Cu...] [2008-12-04 18:35:58] [819b576fab25b35cfda70f80599828ec]
-   P             [Spectral Analysis] [Identification an...] [2008-12-08 19:28:10] [79c17183721a40a589db5f9f561947d8]
-               [Spectral Analysis] [Identification an...] [2008-12-08 19:11:27] [79c17183721a40a589db5f9f561947d8]
F   PD        [Spectral Analysis] [Taak 10 Stap 2 Cu...] [2008-12-04 18:33:40] [819b576fab25b35cfda70f80599828ec]
-   P           [Spectral Analysis] [Identification an...] [2008-12-08 19:26:52] [79c17183721a40a589db5f9f561947d8]
-   P         [Spectral Analysis] [Opdracht 8 - Stap...] [2008-12-08 13:25:05] [a7f04e0e73ce3683561193958d653479]
F   P         [Spectral Analysis] [Opdracht 8 - Stap...] [2008-12-08 13:36:28] [a7f04e0e73ce3683561193958d653479]
-   P           [Spectral Analysis] [] [2008-12-15 18:29:02] [2a30350413961f11db13c46be07a5f73]
-             [Spectral Analysis] [Identification an...] [2008-12-08 19:10:04] [79c17183721a40a589db5f9f561947d8]
- RMPD        [] [step 2] [1970-01-01 00:00:00] [b85eb1eb4b13b870c6e7ebbba3e34fcc]
Feedback Forum
2008-12-14 11:20:36 [Jeroen Michel] [reply] 
Ook hier is een correcte berekening waar te nemen. De student heeft nu de Lange Termijn trend weggewerkt, maar nu verschijnt er een trapstructuur. Dit laatste is te wijten aan de seizoensinvloeden die nog in de datareeks zitten.
2008-12-14 12:36:28 [Kevin Neelen] [reply] 
In deze volgende berekening heeft de student de volgende gegevens ingevoerd: d = 1, D = 0 en Seasonal period = 12

Als we deze grafiek bestuderen, kan gezien worden dat de waarden hoofdzakelijk binnen het betrouwbaarheidsinterval liggen maar ze een trapsgewijs verloop kennen. Dit laatste is te wijten aan seizoensinvloeden. Deze seizoensinvloeden zullen in de volgende berekening weggewerkt worden.

  2008-12-15 21:10:55 [Nilay Erdogdu] [reply] 
er zijn nog steeds seizoensinvloeden(trapsgewijse loop binnen het betrouwbaarheidsinterval). Deze moeten nog verder weggewerkt worden.
2008-12-14 13:44:27 [Ilknur Günes] [reply] 
Inderdaad, het grafiek valt nu grotendeels binnen het betrouwbaarheidsinterval, maar het trapsgewijs verloop, dat wijst op sezonaliteit, zal weggewerkt moeten worden.
2008-12-14 17:00:44 [Mehmet Yilmaz] [reply] 
De berekening en conclusies zijn correct.
2008-12-15 18:03:50 [Steffi Van Isveldt] [reply] 
De student heeft in een volgende stap de volgende gegevens ingevoerd: lags = 60, d = 1, D = 0 en Seasonal period = 12.
Hij concludeert inderdaad dat er seizoensinvloeden zijn binnen de tijdreeks.

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
321.7
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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28744&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28744&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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 (3.9063)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 (3.9063) & 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=28744&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 (3.9063)[/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=28744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28744&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 (3.9063)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')