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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 computationSun, 07 Dec 2008 12:49:37 -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/07/t1228679433b5cycs8u1n1i549.htm/, Retrieved Sun, 19 May 2024 09:38:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30279, Retrieved Sun, 19 May 2024 09:38:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact207

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   [(Partial) Autocorrelation Function] [Toon Wouters] [2008-12-07 19:25:53] [74be16979710d4c4e7c6647856088456]
F   P     [(Partial) Autocorrelation Function] [Toon Wouters] [2008-12-07 19:32:00] [74be16979710d4c4e7c6647856088456]
F RMP         [Spectral Analysis] [Toon Wouters] [2008-12-07 19:49:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F   P           [Spectral Analysis] [Toon Wouters] [2008-12-07 19:54:18] [74be16979710d4c4e7c6647856088456]
F   P             [Spectral Analysis] [Toon Wouters] [2008-12-07 19:56:54] [74be16979710d4c4e7c6647856088456]
- R                 [Spectral Analysis] [] [2008-12-08 16:38:14] [74be16979710d4c4e7c6647856088456]
- R               [Spectral Analysis] [] [2008-12-08 16:34:59] [74be16979710d4c4e7c6647856088456]
- R               [Spectral Analysis] [Sören Van Donink] [2008-12-09 19:06:07] [74be16979710d4c4e7c6647856088456]
- R             [Spectral Analysis] [Sören Van Donink] [2008-12-09 18:57:25] [74be16979710d4c4e7c6647856088456]
Feedback Forum
2008-12-15 18:18:40 [Steven Vercammen] [reply] 
Dit klopt.Spectraal –analyse wordt gebruikt om willekeurige tijdreeksen te ontbinden in regelmatige golfbewegingen. Een lange termijntrend betekent dat er sprake is van een lange periode en een trage frequentie. Het spectrum geeft de intensiteit van een golfperiode aan, maw hoe belangrijk is deze golfbeweging. We zien hier dat de waarden allemaal zeer laag zijn. Wanneer er nog een lange termijn trend in de reeks aanwezig zou zijn dan zouden we zeer hoge waarde zien bij de lange periodes, dit is echter niet het geval. Er zijn ook geen hoge waarden te vinden bij periodes 6,12, 24,… wat er op wijst dat er ook geen seizonaliteit aanwezig is in de tijdreeks.
Op het raw en cumulative periodogram zien we ook geen aanwijzingen meer dat de tijdreeks niet stationair zou zijn. Er zijn maw geen indicaties voor een lange termijn trend of seizonaliteit.

2008-12-16 18:36:20 [Erik Geysen] [reply] 
We zien inderdaad dat de hge spectrumwaarde links aanwezig zijn.
Dit wijst op een LT trend. Ze hebben een lage frequentcy wat wijst op een lange periode. Er zijn pieken te zien op coëfficiënt 12,6,4.. Wat wijst op seizoenaliteit. Op de cumm. Periodogram zien we dat de grafiek zeer snel stijgt. Het spectrum is dominant aanwezig in de linkerkant van de grafiek.
We kunnen ongeveer 70% van die tijdsreeks verklaren in die lange periode.

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30279&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30279&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30279&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






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)12
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) & 12 \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=30279&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]12[/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=30279&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30279&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)12
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 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; 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')