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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 computationSat, 06 Dec 2008 05:01:30 -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/06/t122856493531o3zsht6yr2jdg.htm/, Retrieved Sun, 19 May 2024 10:47:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29531, Retrieved Sun, 19 May 2024 10:47:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Spectral Analysis] [Spectrum zonder diff] [2008-12-06 12:01:30] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-12-13 13:52:47 [Julie Govaerts] [reply] 
spectraal analyse = 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
2008-12-15 13:05:56 [Katja van Hek] [reply] 
Bij spectral analysis wordt de tijdreeks ontbonden in regelmatige golfbewegingen. De getallen geven weer wat sterk en wat minder sterk voorkomt. De cumulatieve periodogram toont dat er sprake is van seizoenaliteit (de trappen) en van een trendmatig verloop (het steile verloop in het begin van de grafiek). Het steile verloop is typisch voor een lange termijn trend en geeft aan dat ongeveer een 70% van het model verklaart word door de lange termijn. Om de trend en de seizoenaliteit te verwijderen moet je differentiëren.
2008-12-15 15:00:59 [An Knapen] [reply] 
Spectraalanalyse is de derde methode om de graad van differentiatie te bepalen; Op het cumulatief periodogram kunnen we afleiden dat er een lange termijn trend aanwezig is. Dit zien we aan de sterke stijging aan het begin van de periode. Deze stijging reikt tot de waare 0,75, wat erop wijst dat we 75% van de schommelingen kunnen verklaren. Om deze trend dus te verwijderen gaan we niet-sezoenaal differentiëren. We stellen dus d gelijk aan 1
2008-12-15 15:02:54 [An Knapen] [reply] 
Naast de lange termijn trend, kunnen we op het cumulatief periodogram ook nog seizoenaliteit vaststellen. Dit kunnen we zien aan de trapvorm die zich herhaalt.
We moeten dus ook nog seizoenaal gaan differentiëren om zo de tijdreeks stationair te maken

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=29531&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=29531&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29531&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)0.5
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)472.52701
0.0053 (187.5)2139.692521
0.008 (125)60.939508
0.0107 (93.75)14.683342
0.0133 (75)91.849825
0.016 (62.5)617.445401
0.0187 (53.5714)515.530468
0.0213 (46.875)21.155777
0.024 (41.6667)271.344535
0.0267 (37.5)27.517433
0.0293 (34.0909)85.000135
0.032 (31.25)13.386242
0.0347 (28.8462)49.45365
0.0373 (26.7857)82.325225
0.04 (25)117.103561
0.0427 (23.4375)20.4854
0.0453 (22.0588)8.788706
0.048 (20.8333)22.656806
0.0507 (19.7368)0.779834
0.0533 (18.75)11.370082
0.056 (17.8571)10.115678
0.0587 (17.0455)26.579349
0.0613 (16.3043)8.743989
0.064 (15.625)7.066368
0.0667 (15)1.687017
0.0693 (14.4231)0.32353
0.072 (13.8889)0.122274
0.0747 (13.3929)8.415252
0.0773 (12.931)1.705337
0.08 (12.5)26.435286
0.0827 (12.0968)181.803444
0.0853 (11.7188)38.308242
0.088 (11.3636)18.38168
0.0907 (11.0294)6.58498
0.0933 (10.7143)1.746357
0.096 (10.4167)0.804926
0.0987 (10.1351)2.948063
0.1013 (9.8684)0.302739
0.104 (9.6154)11.588571
0.1067 (9.375)1.724687
0.1093 (9.1463)1.175225
0.112 (8.9286)0.525425
0.1147 (8.7209)1.505935
0.1173 (8.5227)1.200516
0.12 (8.3333)0.196083
0.1227 (8.1522)1.063152
0.1253 (7.9787)0.927496
0.128 (7.8125)0.595255
0.1307 (7.6531)0.176203
0.1333 (7.5)1.989166
0.136 (7.3529)0.627757
0.1387 (7.2115)0.107528
0.1413 (7.0755)0.662556
0.144 (6.9444)1.670199
0.1467 (6.8182)0.673
0.1493 (6.6964)1.56834
0.152 (6.5789)1.939391
0.1547 (6.4655)0.302525
0.1573 (6.3559)3.074313
0.16 (6.25)2.862741
0.1627 (6.1475)12.745987
0.1653 (6.0484)112.074259
0.168 (5.9524)100.336083
0.1707 (5.8594)11.767052
0.1733 (5.7692)4.198596
0.176 (5.6818)0.386193
0.1787 (5.597)0.370796
0.1813 (5.5147)0.16969
0.184 (5.4348)0.779597
0.1867 (5.3571)0.413968
0.1893 (5.2817)0.107318
0.192 (5.2083)0.153489
0.1947 (5.137)1.794451
0.1973 (5.0676)0.163098
0.2 (5)0.306095
0.2027 (4.9342)0.552582
0.2053 (4.8701)1.420332
0.208 (4.8077)0.773335
0.2107 (4.7468)0.120192
0.2133 (4.6875)0.407224
0.216 (4.6296)0.145083
0.2187 (4.5732)0.360457
0.2213 (4.5181)0.173722
0.224 (4.4643)0.086153
0.2267 (4.4118)0.114642
0.2293 (4.3605)0.349398
0.232 (4.3103)0.242932
0.2347 (4.2614)0.047406
0.2373 (4.2135)0.85181
0.24 (4.1667)2.521792
0.2427 (4.1209)0.158891
0.2453 (4.0761)2.314572
0.248 (4.0323)14.175946
0.2507 (3.9894)53.164172
0.2533 (3.9474)3.856876
0.256 (3.9062)0.110874
0.2587 (3.866)0.480224
0.2613 (3.8265)0.286933
0.264 (3.7879)0.696406
0.2667 (3.75)0.074182
0.2693 (3.7129)0.883389
0.272 (3.6765)0.371364
0.2747 (3.6408)0.286914
0.2773 (3.6058)0.082007
0.28 (3.5714)0.045915
0.2827 (3.5377)0.273118
0.2853 (3.5047)0.468663
0.288 (3.4722)0.132442
0.2907 (3.4404)0.2479
0.2933 (3.4091)0.148452
0.296 (3.3784)0.079832
0.2987 (3.3482)0.006798
0.3013 (3.3186)0.224688
0.304 (3.2895)0.054977
0.3067 (3.2609)0.036293
0.3093 (3.2328)0.132979
0.312 (3.2051)0.140366
0.3147 (3.178)0.288859
0.3173 (3.1513)0.043414
0.32 (3.125)0.00988
0.3227 (3.0992)0.78746
0.3253 (3.0738)0.141845
0.328 (3.0488)0.418355
0.3307 (3.0242)3.262297
0.3333 (3)5.289631
0.336 (2.9762)0.518249
0.3387 (2.9528)0.522646
0.3413 (2.9297)0.012209
0.344 (2.907)0.189961
0.3467 (2.8846)0.098843
0.3493 (2.8626)0.675931
0.352 (2.8409)0.304829
0.3547 (2.8195)0.026812
0.3573 (2.7985)0.132028
0.36 (2.7778)0.101326
0.3627 (2.7574)1.141682
0.3653 (2.7372)0.212352
0.368 (2.7174)0.047793
0.3707 (2.6978)0.116205
0.3733 (2.6786)0.096831
0.376 (2.6596)0.057832
0.3787 (2.6408)0.08112
0.3813 (2.6224)0.395198
0.384 (2.6042)0.150515
0.3867 (2.5862)0.019193
0.3893 (2.5685)0.196114
0.392 (2.551)0.454402
0.3947 (2.5338)0.247753
0.3973 (2.5168)0.1097
0.4 (2.5)0.049223
0.4027 (2.4834)0.210423
0.4053 (2.4671)0.023682
0.408 (2.451)0.216554
0.4107 (2.4351)0.287114
0.4133 (2.4194)2.457649
0.416 (2.4038)36.53153
0.4187 (2.3885)9.66505
0.4213 (2.3734)3.364392
0.424 (2.3585)0.689316
0.4267 (2.3438)0.168837
0.4293 (2.3292)0.124325
0.432 (2.3148)0.583838
0.4347 (2.3006)0.109511
0.4373 (2.2866)0.069793
0.44 (2.2727)0.034305
0.4427 (2.259)0.18043
0.4453 (2.2455)0.289113
0.448 (2.2321)0.155203
0.4507 (2.2189)0.115863
0.4533 (2.2059)0.184053
0.456 (2.193)0.691745
0.4587 (2.1802)0.12373
0.4613 (2.1676)0.102092
0.464 (2.1552)0.096222
0.4667 (2.1429)0.137718
0.4693 (2.1307)0.001661
0.472 (2.1186)1.298822
0.4747 (2.1067)0.043993
0.4773 (2.095)0.219448
0.48 (2.0833)0.585924
0.4827 (2.0718)0.049323
0.4853 (2.0604)0.259851
0.488 (2.0492)0.011671
0.4907 (2.038)0.124799
0.4933 (2.027)0.169729
0.496 (2.0161)2.666813
0.4987 (2.0053)1.410382

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 0.5 \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) & 472.52701 \tabularnewline
0.0053 (187.5) & 2139.692521 \tabularnewline
0.008 (125) & 60.939508 \tabularnewline
0.0107 (93.75) & 14.683342 \tabularnewline
0.0133 (75) & 91.849825 \tabularnewline
0.016 (62.5) & 617.445401 \tabularnewline
0.0187 (53.5714) & 515.530468 \tabularnewline
0.0213 (46.875) & 21.155777 \tabularnewline
0.024 (41.6667) & 271.344535 \tabularnewline
0.0267 (37.5) & 27.517433 \tabularnewline
0.0293 (34.0909) & 85.000135 \tabularnewline
0.032 (31.25) & 13.386242 \tabularnewline
0.0347 (28.8462) & 49.45365 \tabularnewline
0.0373 (26.7857) & 82.325225 \tabularnewline
0.04 (25) & 117.103561 \tabularnewline
0.0427 (23.4375) & 20.4854 \tabularnewline
0.0453 (22.0588) & 8.788706 \tabularnewline
0.048 (20.8333) & 22.656806 \tabularnewline
0.0507 (19.7368) & 0.779834 \tabularnewline
0.0533 (18.75) & 11.370082 \tabularnewline
0.056 (17.8571) & 10.115678 \tabularnewline
0.0587 (17.0455) & 26.579349 \tabularnewline
0.0613 (16.3043) & 8.743989 \tabularnewline
0.064 (15.625) & 7.066368 \tabularnewline
0.0667 (15) & 1.687017 \tabularnewline
0.0693 (14.4231) & 0.32353 \tabularnewline
0.072 (13.8889) & 0.122274 \tabularnewline
0.0747 (13.3929) & 8.415252 \tabularnewline
0.0773 (12.931) & 1.705337 \tabularnewline
0.08 (12.5) & 26.435286 \tabularnewline
0.0827 (12.0968) & 181.803444 \tabularnewline
0.0853 (11.7188) & 38.308242 \tabularnewline
0.088 (11.3636) & 18.38168 \tabularnewline
0.0907 (11.0294) & 6.58498 \tabularnewline
0.0933 (10.7143) & 1.746357 \tabularnewline
0.096 (10.4167) & 0.804926 \tabularnewline
0.0987 (10.1351) & 2.948063 \tabularnewline
0.1013 (9.8684) & 0.302739 \tabularnewline
0.104 (9.6154) & 11.588571 \tabularnewline
0.1067 (9.375) & 1.724687 \tabularnewline
0.1093 (9.1463) & 1.175225 \tabularnewline
0.112 (8.9286) & 0.525425 \tabularnewline
0.1147 (8.7209) & 1.505935 \tabularnewline
0.1173 (8.5227) & 1.200516 \tabularnewline
0.12 (8.3333) & 0.196083 \tabularnewline
0.1227 (8.1522) & 1.063152 \tabularnewline
0.1253 (7.9787) & 0.927496 \tabularnewline
0.128 (7.8125) & 0.595255 \tabularnewline
0.1307 (7.6531) & 0.176203 \tabularnewline
0.1333 (7.5) & 1.989166 \tabularnewline
0.136 (7.3529) & 0.627757 \tabularnewline
0.1387 (7.2115) & 0.107528 \tabularnewline
0.1413 (7.0755) & 0.662556 \tabularnewline
0.144 (6.9444) & 1.670199 \tabularnewline
0.1467 (6.8182) & 0.673 \tabularnewline
0.1493 (6.6964) & 1.56834 \tabularnewline
0.152 (6.5789) & 1.939391 \tabularnewline
0.1547 (6.4655) & 0.302525 \tabularnewline
0.1573 (6.3559) & 3.074313 \tabularnewline
0.16 (6.25) & 2.862741 \tabularnewline
0.1627 (6.1475) & 12.745987 \tabularnewline
0.1653 (6.0484) & 112.074259 \tabularnewline
0.168 (5.9524) & 100.336083 \tabularnewline
0.1707 (5.8594) & 11.767052 \tabularnewline
0.1733 (5.7692) & 4.198596 \tabularnewline
0.176 (5.6818) & 0.386193 \tabularnewline
0.1787 (5.597) & 0.370796 \tabularnewline
0.1813 (5.5147) & 0.16969 \tabularnewline
0.184 (5.4348) & 0.779597 \tabularnewline
0.1867 (5.3571) & 0.413968 \tabularnewline
0.1893 (5.2817) & 0.107318 \tabularnewline
0.192 (5.2083) & 0.153489 \tabularnewline
0.1947 (5.137) & 1.794451 \tabularnewline
0.1973 (5.0676) & 0.163098 \tabularnewline
0.2 (5) & 0.306095 \tabularnewline
0.2027 (4.9342) & 0.552582 \tabularnewline
0.2053 (4.8701) & 1.420332 \tabularnewline
0.208 (4.8077) & 0.773335 \tabularnewline
0.2107 (4.7468) & 0.120192 \tabularnewline
0.2133 (4.6875) & 0.407224 \tabularnewline
0.216 (4.6296) & 0.145083 \tabularnewline
0.2187 (4.5732) & 0.360457 \tabularnewline
0.2213 (4.5181) & 0.173722 \tabularnewline
0.224 (4.4643) & 0.086153 \tabularnewline
0.2267 (4.4118) & 0.114642 \tabularnewline
0.2293 (4.3605) & 0.349398 \tabularnewline
0.232 (4.3103) & 0.242932 \tabularnewline
0.2347 (4.2614) & 0.047406 \tabularnewline
0.2373 (4.2135) & 0.85181 \tabularnewline
0.24 (4.1667) & 2.521792 \tabularnewline
0.2427 (4.1209) & 0.158891 \tabularnewline
0.2453 (4.0761) & 2.314572 \tabularnewline
0.248 (4.0323) & 14.175946 \tabularnewline
0.2507 (3.9894) & 53.164172 \tabularnewline
0.2533 (3.9474) & 3.856876 \tabularnewline
0.256 (3.9062) & 0.110874 \tabularnewline
0.2587 (3.866) & 0.480224 \tabularnewline
0.2613 (3.8265) & 0.286933 \tabularnewline
0.264 (3.7879) & 0.696406 \tabularnewline
0.2667 (3.75) & 0.074182 \tabularnewline
0.2693 (3.7129) & 0.883389 \tabularnewline
0.272 (3.6765) & 0.371364 \tabularnewline
0.2747 (3.6408) & 0.286914 \tabularnewline
0.2773 (3.6058) & 0.082007 \tabularnewline
0.28 (3.5714) & 0.045915 \tabularnewline
0.2827 (3.5377) & 0.273118 \tabularnewline
0.2853 (3.5047) & 0.468663 \tabularnewline
0.288 (3.4722) & 0.132442 \tabularnewline
0.2907 (3.4404) & 0.2479 \tabularnewline
0.2933 (3.4091) & 0.148452 \tabularnewline
0.296 (3.3784) & 0.079832 \tabularnewline
0.2987 (3.3482) & 0.006798 \tabularnewline
0.3013 (3.3186) & 0.224688 \tabularnewline
0.304 (3.2895) & 0.054977 \tabularnewline
0.3067 (3.2609) & 0.036293 \tabularnewline
0.3093 (3.2328) & 0.132979 \tabularnewline
0.312 (3.2051) & 0.140366 \tabularnewline
0.3147 (3.178) & 0.288859 \tabularnewline
0.3173 (3.1513) & 0.043414 \tabularnewline
0.32 (3.125) & 0.00988 \tabularnewline
0.3227 (3.0992) & 0.78746 \tabularnewline
0.3253 (3.0738) & 0.141845 \tabularnewline
0.328 (3.0488) & 0.418355 \tabularnewline
0.3307 (3.0242) & 3.262297 \tabularnewline
0.3333 (3) & 5.289631 \tabularnewline
0.336 (2.9762) & 0.518249 \tabularnewline
0.3387 (2.9528) & 0.522646 \tabularnewline
0.3413 (2.9297) & 0.012209 \tabularnewline
0.344 (2.907) & 0.189961 \tabularnewline
0.3467 (2.8846) & 0.098843 \tabularnewline
0.3493 (2.8626) & 0.675931 \tabularnewline
0.352 (2.8409) & 0.304829 \tabularnewline
0.3547 (2.8195) & 0.026812 \tabularnewline
0.3573 (2.7985) & 0.132028 \tabularnewline
0.36 (2.7778) & 0.101326 \tabularnewline
0.3627 (2.7574) & 1.141682 \tabularnewline
0.3653 (2.7372) & 0.212352 \tabularnewline
0.368 (2.7174) & 0.047793 \tabularnewline
0.3707 (2.6978) & 0.116205 \tabularnewline
0.3733 (2.6786) & 0.096831 \tabularnewline
0.376 (2.6596) & 0.057832 \tabularnewline
0.3787 (2.6408) & 0.08112 \tabularnewline
0.3813 (2.6224) & 0.395198 \tabularnewline
0.384 (2.6042) & 0.150515 \tabularnewline
0.3867 (2.5862) & 0.019193 \tabularnewline
0.3893 (2.5685) & 0.196114 \tabularnewline
0.392 (2.551) & 0.454402 \tabularnewline
0.3947 (2.5338) & 0.247753 \tabularnewline
0.3973 (2.5168) & 0.1097 \tabularnewline
0.4 (2.5) & 0.049223 \tabularnewline
0.4027 (2.4834) & 0.210423 \tabularnewline
0.4053 (2.4671) & 0.023682 \tabularnewline
0.408 (2.451) & 0.216554 \tabularnewline
0.4107 (2.4351) & 0.287114 \tabularnewline
0.4133 (2.4194) & 2.457649 \tabularnewline
0.416 (2.4038) & 36.53153 \tabularnewline
0.4187 (2.3885) & 9.66505 \tabularnewline
0.4213 (2.3734) & 3.364392 \tabularnewline
0.424 (2.3585) & 0.689316 \tabularnewline
0.4267 (2.3438) & 0.168837 \tabularnewline
0.4293 (2.3292) & 0.124325 \tabularnewline
0.432 (2.3148) & 0.583838 \tabularnewline
0.4347 (2.3006) & 0.109511 \tabularnewline
0.4373 (2.2866) & 0.069793 \tabularnewline
0.44 (2.2727) & 0.034305 \tabularnewline
0.4427 (2.259) & 0.18043 \tabularnewline
0.4453 (2.2455) & 0.289113 \tabularnewline
0.448 (2.2321) & 0.155203 \tabularnewline
0.4507 (2.2189) & 0.115863 \tabularnewline
0.4533 (2.2059) & 0.184053 \tabularnewline
0.456 (2.193) & 0.691745 \tabularnewline
0.4587 (2.1802) & 0.12373 \tabularnewline
0.4613 (2.1676) & 0.102092 \tabularnewline
0.464 (2.1552) & 0.096222 \tabularnewline
0.4667 (2.1429) & 0.137718 \tabularnewline
0.4693 (2.1307) & 0.001661 \tabularnewline
0.472 (2.1186) & 1.298822 \tabularnewline
0.4747 (2.1067) & 0.043993 \tabularnewline
0.4773 (2.095) & 0.219448 \tabularnewline
0.48 (2.0833) & 0.585924 \tabularnewline
0.4827 (2.0718) & 0.049323 \tabularnewline
0.4853 (2.0604) & 0.259851 \tabularnewline
0.488 (2.0492) & 0.011671 \tabularnewline
0.4907 (2.038) & 0.124799 \tabularnewline
0.4933 (2.027) & 0.169729 \tabularnewline
0.496 (2.0161) & 2.666813 \tabularnewline
0.4987 (2.0053) & 1.410382 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29531&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]0.5[/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]472.52701[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]2139.692521[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]60.939508[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]14.683342[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]91.849825[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]617.445401[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]515.530468[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]21.155777[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]271.344535[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]27.517433[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]85.000135[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]13.386242[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]49.45365[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]82.325225[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]117.103561[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]20.4854[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]8.788706[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]22.656806[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]0.779834[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]11.370082[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]10.115678[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]26.579349[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]8.743989[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]7.066368[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1.687017[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]0.32353[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]0.122274[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]8.415252[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]1.705337[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]26.435286[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]181.803444[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]38.308242[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]18.38168[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]6.58498[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]1.746357[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]0.804926[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]2.948063[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]0.302739[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]11.588571[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]1.724687[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]1.175225[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]0.525425[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]1.505935[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]1.200516[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]0.196083[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]1.063152[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]0.927496[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]0.595255[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]0.176203[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1.989166[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]0.627757[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]0.107528[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]0.662556[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]1.670199[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]0.673[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]1.56834[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]1.939391[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]0.302525[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]3.074313[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2.862741[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]12.745987[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]112.074259[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]100.336083[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]11.767052[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]4.198596[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]0.386193[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]0.370796[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]0.16969[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]0.779597[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]0.413968[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]0.107318[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]0.153489[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]1.794451[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]0.163098[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]0.306095[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]0.552582[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]1.420332[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]0.773335[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]0.120192[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]0.407224[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]0.145083[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]0.360457[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]0.173722[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]0.086153[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]0.114642[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]0.349398[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]0.242932[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]0.047406[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]0.85181[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]2.521792[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]0.158891[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]2.314572[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]14.175946[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]53.164172[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]3.856876[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]0.110874[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]0.480224[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]0.286933[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]0.696406[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]0.074182[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]0.883389[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]0.371364[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]0.286914[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]0.082007[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]0.045915[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]0.273118[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]0.468663[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]0.132442[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]0.2479[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]0.148452[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]0.079832[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]0.006798[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]0.224688[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]0.054977[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]0.036293[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]0.132979[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]0.140366[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]0.288859[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]0.043414[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]0.00988[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]0.78746[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]0.141845[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]0.418355[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]3.262297[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]5.289631[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]0.518249[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]0.522646[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]0.012209[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]0.189961[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]0.098843[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]0.675931[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]0.304829[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]0.026812[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]0.132028[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]0.101326[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]1.141682[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]0.212352[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]0.047793[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]0.116205[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]0.096831[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]0.057832[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]0.08112[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]0.395198[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]0.150515[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]0.019193[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]0.196114[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]0.454402[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]0.247753[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]0.1097[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]0.049223[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]0.210423[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]0.023682[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]0.216554[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]0.287114[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]2.457649[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]36.53153[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]9.66505[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]3.364392[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]0.689316[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]0.168837[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]0.124325[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]0.583838[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]0.109511[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]0.069793[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]0.034305[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]0.18043[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]0.289113[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]0.155203[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]0.115863[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]0.184053[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]0.691745[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]0.12373[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]0.102092[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]0.096222[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]0.137718[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]0.001661[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]1.298822[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]0.043993[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]0.219448[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]0.585924[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]0.049323[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]0.259851[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]0.011671[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]0.124799[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]0.169729[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]2.666813[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]1.410382[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29531&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29531&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)0.5
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)472.52701
0.0053 (187.5)2139.692521
0.008 (125)60.939508
0.0107 (93.75)14.683342
0.0133 (75)91.849825
0.016 (62.5)617.445401
0.0187 (53.5714)515.530468
0.0213 (46.875)21.155777
0.024 (41.6667)271.344535
0.0267 (37.5)27.517433
0.0293 (34.0909)85.000135
0.032 (31.25)13.386242
0.0347 (28.8462)49.45365
0.0373 (26.7857)82.325225
0.04 (25)117.103561
0.0427 (23.4375)20.4854
0.0453 (22.0588)8.788706
0.048 (20.8333)22.656806
0.0507 (19.7368)0.779834
0.0533 (18.75)11.370082
0.056 (17.8571)10.115678
0.0587 (17.0455)26.579349
0.0613 (16.3043)8.743989
0.064 (15.625)7.066368
0.0667 (15)1.687017
0.0693 (14.4231)0.32353
0.072 (13.8889)0.122274
0.0747 (13.3929)8.415252
0.0773 (12.931)1.705337
0.08 (12.5)26.435286
0.0827 (12.0968)181.803444
0.0853 (11.7188)38.308242
0.088 (11.3636)18.38168
0.0907 (11.0294)6.58498
0.0933 (10.7143)1.746357
0.096 (10.4167)0.804926
0.0987 (10.1351)2.948063
0.1013 (9.8684)0.302739
0.104 (9.6154)11.588571
0.1067 (9.375)1.724687
0.1093 (9.1463)1.175225
0.112 (8.9286)0.525425
0.1147 (8.7209)1.505935
0.1173 (8.5227)1.200516
0.12 (8.3333)0.196083
0.1227 (8.1522)1.063152
0.1253 (7.9787)0.927496
0.128 (7.8125)0.595255
0.1307 (7.6531)0.176203
0.1333 (7.5)1.989166
0.136 (7.3529)0.627757
0.1387 (7.2115)0.107528
0.1413 (7.0755)0.662556
0.144 (6.9444)1.670199
0.1467 (6.8182)0.673
0.1493 (6.6964)1.56834
0.152 (6.5789)1.939391
0.1547 (6.4655)0.302525
0.1573 (6.3559)3.074313
0.16 (6.25)2.862741
0.1627 (6.1475)12.745987
0.1653 (6.0484)112.074259
0.168 (5.9524)100.336083
0.1707 (5.8594)11.767052
0.1733 (5.7692)4.198596
0.176 (5.6818)0.386193
0.1787 (5.597)0.370796
0.1813 (5.5147)0.16969
0.184 (5.4348)0.779597
0.1867 (5.3571)0.413968
0.1893 (5.2817)0.107318
0.192 (5.2083)0.153489
0.1947 (5.137)1.794451
0.1973 (5.0676)0.163098
0.2 (5)0.306095
0.2027 (4.9342)0.552582
0.2053 (4.8701)1.420332
0.208 (4.8077)0.773335
0.2107 (4.7468)0.120192
0.2133 (4.6875)0.407224
0.216 (4.6296)0.145083
0.2187 (4.5732)0.360457
0.2213 (4.5181)0.173722
0.224 (4.4643)0.086153
0.2267 (4.4118)0.114642
0.2293 (4.3605)0.349398
0.232 (4.3103)0.242932
0.2347 (4.2614)0.047406
0.2373 (4.2135)0.85181
0.24 (4.1667)2.521792
0.2427 (4.1209)0.158891
0.2453 (4.0761)2.314572
0.248 (4.0323)14.175946
0.2507 (3.9894)53.164172
0.2533 (3.9474)3.856876
0.256 (3.9062)0.110874
0.2587 (3.866)0.480224
0.2613 (3.8265)0.286933
0.264 (3.7879)0.696406
0.2667 (3.75)0.074182
0.2693 (3.7129)0.883389
0.272 (3.6765)0.371364
0.2747 (3.6408)0.286914
0.2773 (3.6058)0.082007
0.28 (3.5714)0.045915
0.2827 (3.5377)0.273118
0.2853 (3.5047)0.468663
0.288 (3.4722)0.132442
0.2907 (3.4404)0.2479
0.2933 (3.4091)0.148452
0.296 (3.3784)0.079832
0.2987 (3.3482)0.006798
0.3013 (3.3186)0.224688
0.304 (3.2895)0.054977
0.3067 (3.2609)0.036293
0.3093 (3.2328)0.132979
0.312 (3.2051)0.140366
0.3147 (3.178)0.288859
0.3173 (3.1513)0.043414
0.32 (3.125)0.00988
0.3227 (3.0992)0.78746
0.3253 (3.0738)0.141845
0.328 (3.0488)0.418355
0.3307 (3.0242)3.262297
0.3333 (3)5.289631
0.336 (2.9762)0.518249
0.3387 (2.9528)0.522646
0.3413 (2.9297)0.012209
0.344 (2.907)0.189961
0.3467 (2.8846)0.098843
0.3493 (2.8626)0.675931
0.352 (2.8409)0.304829
0.3547 (2.8195)0.026812
0.3573 (2.7985)0.132028
0.36 (2.7778)0.101326
0.3627 (2.7574)1.141682
0.3653 (2.7372)0.212352
0.368 (2.7174)0.047793
0.3707 (2.6978)0.116205
0.3733 (2.6786)0.096831
0.376 (2.6596)0.057832
0.3787 (2.6408)0.08112
0.3813 (2.6224)0.395198
0.384 (2.6042)0.150515
0.3867 (2.5862)0.019193
0.3893 (2.5685)0.196114
0.392 (2.551)0.454402
0.3947 (2.5338)0.247753
0.3973 (2.5168)0.1097
0.4 (2.5)0.049223
0.4027 (2.4834)0.210423
0.4053 (2.4671)0.023682
0.408 (2.451)0.216554
0.4107 (2.4351)0.287114
0.4133 (2.4194)2.457649
0.416 (2.4038)36.53153
0.4187 (2.3885)9.66505
0.4213 (2.3734)3.364392
0.424 (2.3585)0.689316
0.4267 (2.3438)0.168837
0.4293 (2.3292)0.124325
0.432 (2.3148)0.583838
0.4347 (2.3006)0.109511
0.4373 (2.2866)0.069793
0.44 (2.2727)0.034305
0.4427 (2.259)0.18043
0.4453 (2.2455)0.289113
0.448 (2.2321)0.155203
0.4507 (2.2189)0.115863
0.4533 (2.2059)0.184053
0.456 (2.193)0.691745
0.4587 (2.1802)0.12373
0.4613 (2.1676)0.102092
0.464 (2.1552)0.096222
0.4667 (2.1429)0.137718
0.4693 (2.1307)0.001661
0.472 (2.1186)1.298822
0.4747 (2.1067)0.043993
0.4773 (2.095)0.219448
0.48 (2.0833)0.585924
0.4827 (2.0718)0.049323
0.4853 (2.0604)0.259851
0.488 (2.0492)0.011671
0.4907 (2.038)0.124799
0.4933 (2.027)0.169729
0.496 (2.0161)2.666813
0.4987 (2.0053)1.410382


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.5 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 0.5 ; 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')