FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationFri, 05 Dec 2008 08:13:29 -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/05/t1228490057e2gh8bmia4btvsu.htm/, Retrieved Thu, 16 May 2024 03:38:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29308, Retrieved Thu, 16 May 2024 03:38:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

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] [step 2] [2008-12-05 15:13:29] [821c4b3d195be8e737cf8c9dc649d3cf] [Current]
Feedback Forum
2008-12-14 20:24:15 [Vincent Vanden Poel] [reply] 
Je kon uit het raw periodogram ook reeds seizoenaliteit afleiden. Dit zie je aan de frequenties die verbonden zijn aan de pieken. Wanneer je deze opzoekt in de tabel kan je zien dat ze overeenkomen met 12, 6, 4 enz... Dit weist dus op siezoenaliteit.
2008-12-14 20:28:30 [Vincent Vanden Poel] [reply] 
Aanvullend.

Door middel van de spectrale analyse wordt de tijdreeks ontbonden in regelmatige golfbewegingen.
Aan de hand van de tabel zien we dat
De intensiteit dat de 1e golfbeweging van 375 maanden voorkomt is 305413. Dit is een hoge waarde wat in dit geval wijst op een lange termijn. Dit is hier ook het geval, namelijk 375 maanden. Ook de golfbeweging wijst hier op een lange termijn trend. Verder zien we dat de hoogste spectrumwaarde zich voordoet na 187,5 maanden. Wanneer we kijken naar de intensiteit van 12 maanden zien we dat deze ook relatief hoog is, namelijk 66353. Omdat het hier over een periode van 12 maanden gaat verwijst deze hoge waarde naar seizoenaliteit. Ook de waarden bij 4 en 6 maanden liggen vrij hoog. Doordat het hier dus gaat om trimesters en semesters wijzen deze hoge waarden ook op seizoenaliteit.

2008-12-15 14:58:56 [Natalie De Wilde] [reply] 
Ok. We zien in de Raw Periodogram inderdaad een langzaam dalend patroon wat wijst op een lange termijn trend. Het valt ook op dat er seizoenaliteit aanwezig is als we kijken naar de tabel. Bij 12, 6 en 4 zien we dat de spectrum zeer hoog is.
Bij de cumulative periodogram geeft de steil stijgende lijn inderdaad de lange termijn trend weer, deze verklaard voor 70% de tijdreeks. De trapbeweging duidt op seizoenaliteit.
2008-12-16 18:52:52 [Gert-Jan Geudens] [reply] 
Via de spectrale analyse kunnen we een tijdreeks ontbinden in golfbewegingen met hoge en lage frequenties. We zien hier inderdaad een lineaire lange termijntrend en een trapvorm die typisch is voor seizonaliteit.

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'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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29308&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29308&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29308&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'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=29308&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=29308&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29308&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')