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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationTue, 09 Dec 2008 14:48:02 -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/t12288594024zapxce80sbuycf.htm/, Retrieved Sun, 19 May 2024 08:56:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31816, Retrieved Sun, 19 May 2024 08:56:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact200

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] [] [2008-12-09 21:48:02] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-12-13 10:46:08 [Angelique Van de Vijver] [reply] 
De student heeft alleen de spectraalanalyse gedaan vóór de differentiatie en dus niet na de differentiatie. Hij heeft dus ook niet nagegaan wat de invloed was van de differentiatie op de periodogrammen. Hij heeft ook een foute berekening gemaakt. De seizoenale periode moest hier gelijkgesteld worden aan 12( student had hier 1 ingevuld) want het gaat hier over maandgegevens. De student heeft zeer weinig uitleg gegeven.
Ik heb de juiste berekening gemaakt vóór differentiatie:
http://www.freestatistics.org/blog/date/2008/Dec/09/t12288386672c43qycyq5fia3u.htm
Op het raw periodogram zien we duidelijk het langzaam dalend verloop en ook een duidelijke seizoenaliteit (telkens wederkerende pieken)
Op het cumulatief periodogram zien we een steile lijn aan linkerkant wat dus wijst op een langetermijntrend. We zien ook dat de functie getrapt is wat dus de seizoenaliteit aangeeft. We kunnen ook zien dat 70% verklaard wordt door die langetermijnbeweging.
In de tabel zie je dat er in het begin zeer hoge spectrumwaarden zijn en dat de lange periodes overeenkomen met lage frequenties.
Ik heb ook de berekening gemaakt na differentiatie:
http://www.freestatistics.org/blog/date/2008/Dec/09/t1228839019psrgcqn742cjruz.htm
Op het raw perioddogram na differentiatie zien we dat het langzaam dalend patroon en de pieken verdwenen zijn. De langetermijntrend en de seizoenaliteit zijn dus weggewerkt.
Cumulatief periodogram: De steile getrapt lijn aan linkerkant is weggewerkt door differentiatie. De lijn valt wel nog niet helemaal in het betrouwbaarheidsinterval, er zijn nog steeds golfbewegingen die je kan voorspellen. Dus er is nog verbetering mogelijk. Hier is er dus sprake van conjunctuur.
Besluit: De parameters die leiden tot een min of meer stationaire tijdreeks zijn: lambda=0.5 ; d=1 ; D=1
2008-12-13 10:56:43 [Julie Govaerts] [reply] 
spectraal analyse = als controle = of we de juiste differentiatie parameters gekozen hebben (d en D)
We zoeken de hoogste spectrumwaarde = intensiteit van de frequentie
0.0053 (187.5)2139.692521
Op de grafiek zien we ook dat het spectrum vooral links overheerst.
De y-as = de intensiteit waarin de golf voorkomt = zien welke dominant is
Er is een lage frequentie en een lange periode , veel golfbewegingen --> lange termijn trend
De periodes van de pieken = 12,24,36,.. = dit betekent dat er sprake is van saisonaliteit

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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=31816&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=31816&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31816&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0027 (375)305412.921088
0.0053 (187.5)836275.153364
0.008 (125)25924.242345
0.0107 (93.75)2438.46743
0.0133 (75)60760.562241
0.016 (62.5)248643.39661
0.0187 (53.5714)219726.382379
0.0213 (46.875)5307.430043
0.024 (41.6667)113169.995526
0.0267 (37.5)5632.434995
0.0293 (34.0909)42000.731998
0.032 (31.25)3933.834892
0.0347 (28.8462)23380.749897
0.0373 (26.7857)22184.263032
0.04 (25)45594.791384
0.0427 (23.4375)7580.338001
0.0453 (22.0588)1925.794887
0.048 (20.8333)10964.663604
0.0507 (19.7368)73.73535
0.0533 (18.75)7972.451053
0.056 (17.8571)4058.376269
0.0587 (17.0455)13467.282847
0.0613 (16.3043)2553.825299
0.064 (15.625)3514.172006
0.0667 (15)869.704069
0.0693 (14.4231)466.697005
0.072 (13.8889)87.138234
0.0747 (13.3929)2892.663869
0.0773 (12.931)1907.11472
0.08 (12.5)8035.783217
0.0827 (12.0968)66353.069789
0.0853 (11.7188)12243.133634
0.088 (11.3636)8330.071062
0.0907 (11.0294)3501.405105
0.0933 (10.7143)1215.317187
0.096 (10.4167)648.858007
0.0987 (10.1351)1713.000747
0.1013 (9.8684)56.922523
0.104 (9.6154)4656.230622
0.1067 (9.375)726.147395
0.1093 (9.1463)125.422037
0.112 (8.9286)162.342283
0.1147 (8.7209)463.861461
0.1173 (8.5227)417.84533
0.12 (8.3333)290.424129
0.1227 (8.1522)762.717422
0.1253 (7.9787)327.88452
0.128 (7.8125)169.692982
0.1307 (7.6531)104.31067
0.1333 (7.5)732.145538
0.136 (7.3529)373.506985
0.1387 (7.2115)7.604551
0.1413 (7.0755)220.553988
0.144 (6.9444)839.521161
0.1467 (6.8182)393.246535
0.1493 (6.6964)507.301466
0.152 (6.5789)618.82861
0.1547 (6.4655)78.631513
0.1573 (6.3559)1100.788506
0.16 (6.25)2816.708611
0.1627 (6.1475)5497.013382
0.1653 (6.0484)43080.497912
0.168 (5.9524)38220.275597
0.1707 (5.8594)5263.218754
0.1733 (5.7692)3175.089709
0.176 (5.6818)422.105705
0.1787 (5.597)404.262665
0.1813 (5.5147)96.929115
0.184 (5.4348)268.407257
0.1867 (5.3571)471.357965
0.1893 (5.2817)4.602399
0.192 (5.2083)6.226613
0.1947 (5.137)555.477218
0.1973 (5.0676)105.562383
0.2 (5)106.693124
0.2027 (4.9342)365.21339
0.2053 (4.8701)578.006014
0.208 (4.8077)301.856887
0.2107 (4.7468)12.160869
0.2133 (4.6875)167.999597
0.216 (4.6296)87.634774
0.2187 (4.5732)94.207363
0.2213 (4.5181)72.898752
0.224 (4.4643)40.872729
0.2267 (4.4118)58.267977
0.2293 (4.3605)153.166385
0.232 (4.3103)63.576578
0.2347 (4.2614)142.78437
0.2373 (4.2135)539.460232
0.24 (4.1667)1045.83448
0.2427 (4.1209)68.339186
0.2453 (4.0761)710.483462
0.248 (4.0323)5855.827504
0.2507 (3.9894)21873.575727
0.2533 (3.9474)1517.513805
0.256 (3.9062)411.931544
0.2587 (3.866)61.893128
0.2613 (3.8265)62.82269
0.264 (3.7879)158.711251
0.2667 (3.75)8.586587
0.2693 (3.7129)164.013297
0.272 (3.6765)155.577936
0.2747 (3.6408)168.014205
0.2773 (3.6058)67.286502
0.28 (3.5714)29.916694
0.2827 (3.5377)85.6302
0.2853 (3.5047)203.985743
0.288 (3.4722)59.484349
0.2907 (3.4404)63.294866
0.2933 (3.4091)47.798787
0.296 (3.3784)24.847116
0.2987 (3.3482)3.142518
0.3013 (3.3186)74.742853
0.304 (3.2895)26.040169
0.3067 (3.2609)5.481305
0.3093 (3.2328)64.169891
0.312 (3.2051)52.334359
0.3147 (3.178)105.19286
0.3173 (3.1513)25.478031
0.32 (3.125)9.412664
0.3227 (3.0992)237.788005
0.3253 (3.0738)16.770133
0.328 (3.0488)125.738512
0.3307 (3.0242)1395.603276
0.3333 (3)2117.716663
0.336 (2.9762)198.222107
0.3387 (2.9528)213.673282
0.3413 (2.9297)0.477349
0.344 (2.907)110.526313
0.3467 (2.8846)21.56702
0.3493 (2.8626)314.476129
0.352 (2.8409)78.326184
0.3547 (2.8195)10.083297
0.3573 (2.7985)26.371526
0.36 (2.7778)36.85968
0.3627 (2.7574)379.688317
0.3653 (2.7372)50.55697
0.368 (2.7174)8.913881
0.3707 (2.6978)52.245281
0.3733 (2.6786)20.549021
0.376 (2.6596)29.521128
0.3787 (2.6408)36.3016
0.3813 (2.6224)99.851191
0.384 (2.6042)71.236474
0.3867 (2.5862)5.140791
0.3893 (2.5685)89.996982
0.392 (2.551)136.158383
0.3947 (2.5338)113.464136
0.3973 (2.5168)33.103213
0.4 (2.5)31.900626
0.4027 (2.4834)57.379425
0.4053 (2.4671)18.361649
0.408 (2.451)173.511546
0.4107 (2.4351)85.783267
0.4133 (2.4194)940.594929
0.416 (2.4038)14079.701652
0.4187 (2.3885)3526.560495
0.4213 (2.3734)1423.339742
0.424 (2.3585)350.478199
0.4267 (2.3438)117.237258
0.4293 (2.3292)47.144303
0.432 (2.3148)266.375549
0.4347 (2.3006)27.963408
0.4373 (2.2866)60.379971
0.44 (2.2727)5.396099
0.4427 (2.259)94.141278
0.4453 (2.2455)99.625457
0.448 (2.2321)62.36076
0.4507 (2.2189)48.873597
0.4533 (2.2059)48.579614
0.456 (2.193)240.690985
0.4587 (2.1802)34.443563
0.4613 (2.1676)49.575728
0.464 (2.1552)42.522978
0.4667 (2.1429)50.508575
0.4693 (2.1307)0.683834
0.472 (2.1186)515.801934
0.4747 (2.1067)3.437625
0.4773 (2.095)126.939257
0.48 (2.0833)292.405694
0.4827 (2.0718)31.544685
0.4853 (2.0604)97.324859
0.488 (2.0492)26.196496
0.4907 (2.038)23.824451
0.4933 (2.027)77.919946
0.496 (2.0161)853.237673
0.4987 (2.0053)326.881288

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 305412.921088 \tabularnewline
0.0053 (187.5) & 836275.153364 \tabularnewline
0.008 (125) & 25924.242345 \tabularnewline
0.0107 (93.75) & 2438.46743 \tabularnewline
0.0133 (75) & 60760.562241 \tabularnewline
0.016 (62.5) & 248643.39661 \tabularnewline
0.0187 (53.5714) & 219726.382379 \tabularnewline
0.0213 (46.875) & 5307.430043 \tabularnewline
0.024 (41.6667) & 113169.995526 \tabularnewline
0.0267 (37.5) & 5632.434995 \tabularnewline
0.0293 (34.0909) & 42000.731998 \tabularnewline
0.032 (31.25) & 3933.834892 \tabularnewline
0.0347 (28.8462) & 23380.749897 \tabularnewline
0.0373 (26.7857) & 22184.263032 \tabularnewline
0.04 (25) & 45594.791384 \tabularnewline
0.0427 (23.4375) & 7580.338001 \tabularnewline
0.0453 (22.0588) & 1925.794887 \tabularnewline
0.048 (20.8333) & 10964.663604 \tabularnewline
0.0507 (19.7368) & 73.73535 \tabularnewline
0.0533 (18.75) & 7972.451053 \tabularnewline
0.056 (17.8571) & 4058.376269 \tabularnewline
0.0587 (17.0455) & 13467.282847 \tabularnewline
0.0613 (16.3043) & 2553.825299 \tabularnewline
0.064 (15.625) & 3514.172006 \tabularnewline
0.0667 (15) & 869.704069 \tabularnewline
0.0693 (14.4231) & 466.697005 \tabularnewline
0.072 (13.8889) & 87.138234 \tabularnewline
0.0747 (13.3929) & 2892.663869 \tabularnewline
0.0773 (12.931) & 1907.11472 \tabularnewline
0.08 (12.5) & 8035.783217 \tabularnewline
0.0827 (12.0968) & 66353.069789 \tabularnewline
0.0853 (11.7188) & 12243.133634 \tabularnewline
0.088 (11.3636) & 8330.071062 \tabularnewline
0.0907 (11.0294) & 3501.405105 \tabularnewline
0.0933 (10.7143) & 1215.317187 \tabularnewline
0.096 (10.4167) & 648.858007 \tabularnewline
0.0987 (10.1351) & 1713.000747 \tabularnewline
0.1013 (9.8684) & 56.922523 \tabularnewline
0.104 (9.6154) & 4656.230622 \tabularnewline
0.1067 (9.375) & 726.147395 \tabularnewline
0.1093 (9.1463) & 125.422037 \tabularnewline
0.112 (8.9286) & 162.342283 \tabularnewline
0.1147 (8.7209) & 463.861461 \tabularnewline
0.1173 (8.5227) & 417.84533 \tabularnewline
0.12 (8.3333) & 290.424129 \tabularnewline
0.1227 (8.1522) & 762.717422 \tabularnewline
0.1253 (7.9787) & 327.88452 \tabularnewline
0.128 (7.8125) & 169.692982 \tabularnewline
0.1307 (7.6531) & 104.31067 \tabularnewline
0.1333 (7.5) & 732.145538 \tabularnewline
0.136 (7.3529) & 373.506985 \tabularnewline
0.1387 (7.2115) & 7.604551 \tabularnewline
0.1413 (7.0755) & 220.553988 \tabularnewline
0.144 (6.9444) & 839.521161 \tabularnewline
0.1467 (6.8182) & 393.246535 \tabularnewline
0.1493 (6.6964) & 507.301466 \tabularnewline
0.152 (6.5789) & 618.82861 \tabularnewline
0.1547 (6.4655) & 78.631513 \tabularnewline
0.1573 (6.3559) & 1100.788506 \tabularnewline
0.16 (6.25) & 2816.708611 \tabularnewline
0.1627 (6.1475) & 5497.013382 \tabularnewline
0.1653 (6.0484) & 43080.497912 \tabularnewline
0.168 (5.9524) & 38220.275597 \tabularnewline
0.1707 (5.8594) & 5263.218754 \tabularnewline
0.1733 (5.7692) & 3175.089709 \tabularnewline
0.176 (5.6818) & 422.105705 \tabularnewline
0.1787 (5.597) & 404.262665 \tabularnewline
0.1813 (5.5147) & 96.929115 \tabularnewline
0.184 (5.4348) & 268.407257 \tabularnewline
0.1867 (5.3571) & 471.357965 \tabularnewline
0.1893 (5.2817) & 4.602399 \tabularnewline
0.192 (5.2083) & 6.226613 \tabularnewline
0.1947 (5.137) & 555.477218 \tabularnewline
0.1973 (5.0676) & 105.562383 \tabularnewline
0.2 (5) & 106.693124 \tabularnewline
0.2027 (4.9342) & 365.21339 \tabularnewline
0.2053 (4.8701) & 578.006014 \tabularnewline
0.208 (4.8077) & 301.856887 \tabularnewline
0.2107 (4.7468) & 12.160869 \tabularnewline
0.2133 (4.6875) & 167.999597 \tabularnewline
0.216 (4.6296) & 87.634774 \tabularnewline
0.2187 (4.5732) & 94.207363 \tabularnewline
0.2213 (4.5181) & 72.898752 \tabularnewline
0.224 (4.4643) & 40.872729 \tabularnewline
0.2267 (4.4118) & 58.267977 \tabularnewline
0.2293 (4.3605) & 153.166385 \tabularnewline
0.232 (4.3103) & 63.576578 \tabularnewline
0.2347 (4.2614) & 142.78437 \tabularnewline
0.2373 (4.2135) & 539.460232 \tabularnewline
0.24 (4.1667) & 1045.83448 \tabularnewline
0.2427 (4.1209) & 68.339186 \tabularnewline
0.2453 (4.0761) & 710.483462 \tabularnewline
0.248 (4.0323) & 5855.827504 \tabularnewline
0.2507 (3.9894) & 21873.575727 \tabularnewline
0.2533 (3.9474) & 1517.513805 \tabularnewline
0.256 (3.9062) & 411.931544 \tabularnewline
0.2587 (3.866) & 61.893128 \tabularnewline
0.2613 (3.8265) & 62.82269 \tabularnewline
0.264 (3.7879) & 158.711251 \tabularnewline
0.2667 (3.75) & 8.586587 \tabularnewline
0.2693 (3.7129) & 164.013297 \tabularnewline
0.272 (3.6765) & 155.577936 \tabularnewline
0.2747 (3.6408) & 168.014205 \tabularnewline
0.2773 (3.6058) & 67.286502 \tabularnewline
0.28 (3.5714) & 29.916694 \tabularnewline
0.2827 (3.5377) & 85.6302 \tabularnewline
0.2853 (3.5047) & 203.985743 \tabularnewline
0.288 (3.4722) & 59.484349 \tabularnewline
0.2907 (3.4404) & 63.294866 \tabularnewline
0.2933 (3.4091) & 47.798787 \tabularnewline
0.296 (3.3784) & 24.847116 \tabularnewline
0.2987 (3.3482) & 3.142518 \tabularnewline
0.3013 (3.3186) & 74.742853 \tabularnewline
0.304 (3.2895) & 26.040169 \tabularnewline
0.3067 (3.2609) & 5.481305 \tabularnewline
0.3093 (3.2328) & 64.169891 \tabularnewline
0.312 (3.2051) & 52.334359 \tabularnewline
0.3147 (3.178) & 105.19286 \tabularnewline
0.3173 (3.1513) & 25.478031 \tabularnewline
0.32 (3.125) & 9.412664 \tabularnewline
0.3227 (3.0992) & 237.788005 \tabularnewline
0.3253 (3.0738) & 16.770133 \tabularnewline
0.328 (3.0488) & 125.738512 \tabularnewline
0.3307 (3.0242) & 1395.603276 \tabularnewline
0.3333 (3) & 2117.716663 \tabularnewline
0.336 (2.9762) & 198.222107 \tabularnewline
0.3387 (2.9528) & 213.673282 \tabularnewline
0.3413 (2.9297) & 0.477349 \tabularnewline
0.344 (2.907) & 110.526313 \tabularnewline
0.3467 (2.8846) & 21.56702 \tabularnewline
0.3493 (2.8626) & 314.476129 \tabularnewline
0.352 (2.8409) & 78.326184 \tabularnewline
0.3547 (2.8195) & 10.083297 \tabularnewline
0.3573 (2.7985) & 26.371526 \tabularnewline
0.36 (2.7778) & 36.85968 \tabularnewline
0.3627 (2.7574) & 379.688317 \tabularnewline
0.3653 (2.7372) & 50.55697 \tabularnewline
0.368 (2.7174) & 8.913881 \tabularnewline
0.3707 (2.6978) & 52.245281 \tabularnewline
0.3733 (2.6786) & 20.549021 \tabularnewline
0.376 (2.6596) & 29.521128 \tabularnewline
0.3787 (2.6408) & 36.3016 \tabularnewline
0.3813 (2.6224) & 99.851191 \tabularnewline
0.384 (2.6042) & 71.236474 \tabularnewline
0.3867 (2.5862) & 5.140791 \tabularnewline
0.3893 (2.5685) & 89.996982 \tabularnewline
0.392 (2.551) & 136.158383 \tabularnewline
0.3947 (2.5338) & 113.464136 \tabularnewline
0.3973 (2.5168) & 33.103213 \tabularnewline
0.4 (2.5) & 31.900626 \tabularnewline
0.4027 (2.4834) & 57.379425 \tabularnewline
0.4053 (2.4671) & 18.361649 \tabularnewline
0.408 (2.451) & 173.511546 \tabularnewline
0.4107 (2.4351) & 85.783267 \tabularnewline
0.4133 (2.4194) & 940.594929 \tabularnewline
0.416 (2.4038) & 14079.701652 \tabularnewline
0.4187 (2.3885) & 3526.560495 \tabularnewline
0.4213 (2.3734) & 1423.339742 \tabularnewline
0.424 (2.3585) & 350.478199 \tabularnewline
0.4267 (2.3438) & 117.237258 \tabularnewline
0.4293 (2.3292) & 47.144303 \tabularnewline
0.432 (2.3148) & 266.375549 \tabularnewline
0.4347 (2.3006) & 27.963408 \tabularnewline
0.4373 (2.2866) & 60.379971 \tabularnewline
0.44 (2.2727) & 5.396099 \tabularnewline
0.4427 (2.259) & 94.141278 \tabularnewline
0.4453 (2.2455) & 99.625457 \tabularnewline
0.448 (2.2321) & 62.36076 \tabularnewline
0.4507 (2.2189) & 48.873597 \tabularnewline
0.4533 (2.2059) & 48.579614 \tabularnewline
0.456 (2.193) & 240.690985 \tabularnewline
0.4587 (2.1802) & 34.443563 \tabularnewline
0.4613 (2.1676) & 49.575728 \tabularnewline
0.464 (2.1552) & 42.522978 \tabularnewline
0.4667 (2.1429) & 50.508575 \tabularnewline
0.4693 (2.1307) & 0.683834 \tabularnewline
0.472 (2.1186) & 515.801934 \tabularnewline
0.4747 (2.1067) & 3.437625 \tabularnewline
0.4773 (2.095) & 126.939257 \tabularnewline
0.48 (2.0833) & 292.405694 \tabularnewline
0.4827 (2.0718) & 31.544685 \tabularnewline
0.4853 (2.0604) & 97.324859 \tabularnewline
0.488 (2.0492) & 26.196496 \tabularnewline
0.4907 (2.038) & 23.824451 \tabularnewline
0.4933 (2.027) & 77.919946 \tabularnewline
0.496 (2.0161) & 853.237673 \tabularnewline
0.4987 (2.0053) & 326.881288 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31816&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]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0027 (375)[/C][C]305412.921088[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]836275.153364[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]25924.242345[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]2438.46743[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]60760.562241[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]248643.39661[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]219726.382379[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]5307.430043[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]113169.995526[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]5632.434995[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]42000.731998[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]3933.834892[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]23380.749897[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]22184.263032[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]45594.791384[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]7580.338001[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]1925.794887[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]10964.663604[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]73.73535[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]7972.451053[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]4058.376269[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]13467.282847[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]2553.825299[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]3514.172006[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]869.704069[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]466.697005[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]87.138234[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]2892.663869[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]1907.11472[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]8035.783217[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]66353.069789[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]12243.133634[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]8330.071062[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]3501.405105[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]1215.317187[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]648.858007[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]1713.000747[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]56.922523[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]4656.230622[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]726.147395[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]125.422037[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]162.342283[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]463.861461[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]417.84533[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]290.424129[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]762.717422[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]327.88452[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]169.692982[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]104.31067[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]732.145538[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]373.506985[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]7.604551[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]220.553988[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]839.521161[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]393.246535[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]507.301466[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]618.82861[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]78.631513[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]1100.788506[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2816.708611[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]5497.013382[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]43080.497912[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]38220.275597[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]5263.218754[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]3175.089709[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]422.105705[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]404.262665[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]96.929115[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]268.407257[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]471.357965[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]4.602399[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]6.226613[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]555.477218[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]105.562383[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]106.693124[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]365.21339[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]578.006014[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]301.856887[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]12.160869[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]167.999597[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]87.634774[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]94.207363[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]72.898752[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]40.872729[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]58.267977[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]153.166385[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]63.576578[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]142.78437[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]539.460232[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]1045.83448[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]68.339186[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]710.483462[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]5855.827504[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]21873.575727[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]1517.513805[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]411.931544[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]61.893128[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]62.82269[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]158.711251[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]8.586587[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]164.013297[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]155.577936[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]168.014205[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]67.286502[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]29.916694[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]85.6302[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]203.985743[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]59.484349[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]63.294866[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]47.798787[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]24.847116[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]3.142518[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]74.742853[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]26.040169[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]5.481305[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]64.169891[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]52.334359[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]105.19286[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]25.478031[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]9.412664[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]237.788005[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]16.770133[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]125.738512[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]1395.603276[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]2117.716663[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]198.222107[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]213.673282[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]0.477349[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]110.526313[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]21.56702[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]314.476129[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]78.326184[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]10.083297[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]26.371526[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]36.85968[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]379.688317[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]50.55697[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]8.913881[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]52.245281[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]20.549021[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]29.521128[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]36.3016[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]99.851191[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]71.236474[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]5.140791[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]89.996982[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]136.158383[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]113.464136[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]33.103213[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]31.900626[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]57.379425[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]18.361649[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]173.511546[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]85.783267[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]940.594929[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]14079.701652[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]3526.560495[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]1423.339742[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]350.478199[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]117.237258[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]47.144303[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]266.375549[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]27.963408[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]60.379971[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]5.396099[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]94.141278[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]99.625457[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]62.36076[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]48.873597[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]48.579614[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]240.690985[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]34.443563[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]49.575728[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]42.522978[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]50.508575[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]0.683834[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]515.801934[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]3.437625[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]126.939257[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]292.405694[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]31.544685[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]97.324859[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]26.196496[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]23.824451[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]77.919946[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]853.237673[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]326.881288[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31816&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31816&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0027 (375)305412.921088
0.0053 (187.5)836275.153364
0.008 (125)25924.242345
0.0107 (93.75)2438.46743
0.0133 (75)60760.562241
0.016 (62.5)248643.39661
0.0187 (53.5714)219726.382379
0.0213 (46.875)5307.430043
0.024 (41.6667)113169.995526
0.0267 (37.5)5632.434995
0.0293 (34.0909)42000.731998
0.032 (31.25)3933.834892
0.0347 (28.8462)23380.749897
0.0373 (26.7857)22184.263032
0.04 (25)45594.791384
0.0427 (23.4375)7580.338001
0.0453 (22.0588)1925.794887
0.048 (20.8333)10964.663604
0.0507 (19.7368)73.73535
0.0533 (18.75)7972.451053
0.056 (17.8571)4058.376269
0.0587 (17.0455)13467.282847
0.0613 (16.3043)2553.825299
0.064 (15.625)3514.172006
0.0667 (15)869.704069
0.0693 (14.4231)466.697005
0.072 (13.8889)87.138234
0.0747 (13.3929)2892.663869
0.0773 (12.931)1907.11472
0.08 (12.5)8035.783217
0.0827 (12.0968)66353.069789
0.0853 (11.7188)12243.133634
0.088 (11.3636)8330.071062
0.0907 (11.0294)3501.405105
0.0933 (10.7143)1215.317187
0.096 (10.4167)648.858007
0.0987 (10.1351)1713.000747
0.1013 (9.8684)56.922523
0.104 (9.6154)4656.230622
0.1067 (9.375)726.147395
0.1093 (9.1463)125.422037
0.112 (8.9286)162.342283
0.1147 (8.7209)463.861461
0.1173 (8.5227)417.84533
0.12 (8.3333)290.424129
0.1227 (8.1522)762.717422
0.1253 (7.9787)327.88452
0.128 (7.8125)169.692982
0.1307 (7.6531)104.31067
0.1333 (7.5)732.145538
0.136 (7.3529)373.506985
0.1387 (7.2115)7.604551
0.1413 (7.0755)220.553988
0.144 (6.9444)839.521161
0.1467 (6.8182)393.246535
0.1493 (6.6964)507.301466
0.152 (6.5789)618.82861
0.1547 (6.4655)78.631513
0.1573 (6.3559)1100.788506
0.16 (6.25)2816.708611
0.1627 (6.1475)5497.013382
0.1653 (6.0484)43080.497912
0.168 (5.9524)38220.275597
0.1707 (5.8594)5263.218754
0.1733 (5.7692)3175.089709
0.176 (5.6818)422.105705
0.1787 (5.597)404.262665
0.1813 (5.5147)96.929115
0.184 (5.4348)268.407257
0.1867 (5.3571)471.357965
0.1893 (5.2817)4.602399
0.192 (5.2083)6.226613
0.1947 (5.137)555.477218
0.1973 (5.0676)105.562383
0.2 (5)106.693124
0.2027 (4.9342)365.21339
0.2053 (4.8701)578.006014
0.208 (4.8077)301.856887
0.2107 (4.7468)12.160869
0.2133 (4.6875)167.999597
0.216 (4.6296)87.634774
0.2187 (4.5732)94.207363
0.2213 (4.5181)72.898752
0.224 (4.4643)40.872729
0.2267 (4.4118)58.267977
0.2293 (4.3605)153.166385
0.232 (4.3103)63.576578
0.2347 (4.2614)142.78437
0.2373 (4.2135)539.460232
0.24 (4.1667)1045.83448
0.2427 (4.1209)68.339186
0.2453 (4.0761)710.483462
0.248 (4.0323)5855.827504
0.2507 (3.9894)21873.575727
0.2533 (3.9474)1517.513805
0.256 (3.9062)411.931544
0.2587 (3.866)61.893128
0.2613 (3.8265)62.82269
0.264 (3.7879)158.711251
0.2667 (3.75)8.586587
0.2693 (3.7129)164.013297
0.272 (3.6765)155.577936
0.2747 (3.6408)168.014205
0.2773 (3.6058)67.286502
0.28 (3.5714)29.916694
0.2827 (3.5377)85.6302
0.2853 (3.5047)203.985743
0.288 (3.4722)59.484349
0.2907 (3.4404)63.294866
0.2933 (3.4091)47.798787
0.296 (3.3784)24.847116
0.2987 (3.3482)3.142518
0.3013 (3.3186)74.742853
0.304 (3.2895)26.040169
0.3067 (3.2609)5.481305
0.3093 (3.2328)64.169891
0.312 (3.2051)52.334359
0.3147 (3.178)105.19286
0.3173 (3.1513)25.478031
0.32 (3.125)9.412664
0.3227 (3.0992)237.788005
0.3253 (3.0738)16.770133
0.328 (3.0488)125.738512
0.3307 (3.0242)1395.603276
0.3333 (3)2117.716663
0.336 (2.9762)198.222107
0.3387 (2.9528)213.673282
0.3413 (2.9297)0.477349
0.344 (2.907)110.526313
0.3467 (2.8846)21.56702
0.3493 (2.8626)314.476129
0.352 (2.8409)78.326184
0.3547 (2.8195)10.083297
0.3573 (2.7985)26.371526
0.36 (2.7778)36.85968
0.3627 (2.7574)379.688317
0.3653 (2.7372)50.55697
0.368 (2.7174)8.913881
0.3707 (2.6978)52.245281
0.3733 (2.6786)20.549021
0.376 (2.6596)29.521128
0.3787 (2.6408)36.3016
0.3813 (2.6224)99.851191
0.384 (2.6042)71.236474
0.3867 (2.5862)5.140791
0.3893 (2.5685)89.996982
0.392 (2.551)136.158383
0.3947 (2.5338)113.464136
0.3973 (2.5168)33.103213
0.4 (2.5)31.900626
0.4027 (2.4834)57.379425
0.4053 (2.4671)18.361649
0.408 (2.451)173.511546
0.4107 (2.4351)85.783267
0.4133 (2.4194)940.594929
0.416 (2.4038)14079.701652
0.4187 (2.3885)3526.560495
0.4213 (2.3734)1423.339742
0.424 (2.3585)350.478199
0.4267 (2.3438)117.237258
0.4293 (2.3292)47.144303
0.432 (2.3148)266.375549
0.4347 (2.3006)27.963408
0.4373 (2.2866)60.379971
0.44 (2.2727)5.396099
0.4427 (2.259)94.141278
0.4453 (2.2455)99.625457
0.448 (2.2321)62.36076
0.4507 (2.2189)48.873597
0.4533 (2.2059)48.579614
0.456 (2.193)240.690985
0.4587 (2.1802)34.443563
0.4613 (2.1676)49.575728
0.464 (2.1552)42.522978
0.4667 (2.1429)50.508575
0.4693 (2.1307)0.683834
0.472 (2.1186)515.801934
0.4747 (2.1067)3.437625
0.4773 (2.095)126.939257
0.48 (2.0833)292.405694
0.4827 (2.0718)31.544685
0.4853 (2.0604)97.324859
0.488 (2.0492)26.196496
0.4907 (2.038)23.824451
0.4933 (2.027)77.919946
0.496 (2.0161)853.237673
0.4987 (2.0053)326.881288


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
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')