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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 06:49:37 -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/06/t1228571441nzf4k359rth5l8h.htm/, Retrieved Fri, 17 May 2024 05:46:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29605, Retrieved Fri, 17 May 2024 05:46:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP     [Spectral Analysis] [] [2008-12-06 13:49:37] [86e877ba38171644c8ca01af8044e645] [Current]
Feedback Forum
2008-12-16 08:42:40 [Katja van Hek] [reply] 
Goed antwoord van de student. De steile stijging in de cumulatieve periodogram toont een lange termijn trend. De trend kan zelfs ongeveer 70% van het model verklaren. Door 1 keer seizoenale en 1 keer niet seizoenale differentiatie toe te passen zul je inderdaad zien dat zowel de trend als de seizoenaliteit verdwijnt. Er is ook nog een kleine afwijking te zien die boven het betrouwbaarheidsinterval van 95% ligt. Aangezien ze boven het interval liggen is er mogelijk sprake van een AR proces.
2008-12-16 20:40:37 [Laura Reussens] [reply] 
Op basis van het cumulatief periodogram kunnen we besluiten dat er een LT-trend aanwezig is. Dit zien we aan de sterke stijging aan het begin van de periode. Deze stijging reikt ong tot de waarde 0,70, wat wil zeggen dat we 70% van de schommelingen kunnen verklaren. Om deze trend te verwijderen gaan we niet-sezoenaal differentiëren, we stellen d gelijk aan 1.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'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=29605&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=29605&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29605&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)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=29605&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=29605&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29605&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')