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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 computationTue, 09 Dec 2008 08:00:26 -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/09/t1228834863g2b4ztv3ex2dn9b.htm/, Retrieved Sun, 19 May 2024 12:13:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31495, Retrieved Sun, 19 May 2024 12:13:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

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] [sa2] [2008-12-09 15:00:26] [3452c99afdd85d4fde81272403cd85da] [Current]
Feedback Forum
2008-12-11 16:34:53 [Bénédicte Soens] [reply] 
Doordat d gelijk is aan 1 is er al 1maal gewoon gedifferentieerd. Daardoor is de lange termijntrend verdwenen. Dit is te zien in de eerste grafiek doordat de gegevens meer constant verdeeld zijn en geen dalende lT trend meer aanwezig is. Ook in het gecumuleerd periodogram is dit op te merken. De forse stijging in het begin is weg, maar er zijn nog duidelijke trappen. Deze wijzen op seizoenaliteit en zouden moeten weggewerkt worden door 1maal seizoenaal te differentieren (D=1).
2008-12-15 14:02:17 [Jonas Scheltjens] [reply] 
De student heeft enkel de link opgenomen in het document.
Door niet-seizoenaal te differentiëren zien we in het raw periodogram dat de lange termijn trend verdwenen is. Wat we wel nog kunnen waarnemen is dat er seizoenaliteit (hoge pieken) bestaat doordat de pieken na een steeds even lange periode van afwezigheid weer te voorschijn komt. Dit is ook wat het cumulative periodogram ons toont: een steil begin is niet langer aanwezig, maar er is wel sprake van een trapsgewijze beweging, wat wil zeggen dat er seizoenaliteit is, (hier wel significant verschillend is van 0, te zien aan de ligging t.o.v. het betrouwbaarheidsinterval). Om nu ook de seizoenaliteit uit de tijdreeks te halen gaan we nu ook aan parameter D de waarde 1 toekennen.
2008-12-16 17:13:14 [Dave Bellekens] [reply] 
De student geeft enkel de link weer naar de calculator, zonder interpretatie.
Zo is het onmogelijk om bij te sturen of te zien waar er fouten zitten.

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 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=31495&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=31495&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31495&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=31495&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=31495&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31495&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')