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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 09:46:36 -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/t12284956908tdwhyfsxkudl0d.htm/, Retrieved Thu, 16 May 2024 13:16:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29337, Retrieved Thu, 16 May 2024 13:16:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact244

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] [ARMA - spectral a...] [2008-12-05 16:40:04] [5393e1e70f7d2761ff95f84c9c07decf]
F   P       [Spectral Analysis] [ARMA - spectral a...] [2008-12-05 16:46:36] [ba53780e6ef414874481f097d8d35fc7] [Current]
F   P         [Spectral Analysis] [ARMA - spectral a...] [2008-12-05 16:50:14] [5393e1e70f7d2761ff95f84c9c07decf]
F               [Spectral Analysis] [ARMA Spectral ana...] [2008-12-07 22:26:57] [d32f94eec6fe2d8c421bd223368a5ced]
F RMP         [Standard Deviation-Mean Plot] [ARMA - standard d...] [2008-12-05 16:57:59] [5393e1e70f7d2761ff95f84c9c07decf]
F RM            [(Partial) Autocorrelation Function] [ARMA - (P)ACF] [2008-12-05 18:14:04] [5393e1e70f7d2761ff95f84c9c07decf]
- RMP             [ARIMA Backward Selection] [ARMA- backward se...] [2008-12-06 16:03:03] [5393e1e70f7d2761ff95f84c9c07decf]
F   P               [ARIMA Backward Selection] [ARMA- backward se...] [2008-12-06 16:08:18] [5393e1e70f7d2761ff95f84c9c07decf]
F   P                 [ARIMA Backward Selection] [ARMA Backward Sel...] [2008-12-07 23:19:17] [d32f94eec6fe2d8c421bd223368a5ced]
-   P               [ARIMA Backward Selection] [ARMA Backward Sel...] [2008-12-07 23:17:15] [d32f94eec6fe2d8c421bd223368a5ced]
- RMP               [Standard Deviation-Mean Plot] [Step 1 Standard D...] [2008-12-08 12:16:05] [82970caad4b026be9dd352fdec547fe4]
F   P             [(Partial) Autocorrelation Function] [ARMA P(ACF)] [2008-12-07 23:00:55] [d32f94eec6fe2d8c421bd223368a5ced]
F   P             [(Partial) Autocorrelation Function] [Step 2] [2008-12-08 11:59:04] [82970caad4b026be9dd352fdec547fe4]
F                   [(Partial) Autocorrelation Function] [ARMA Step 3] [2008-12-08 23:14:21] [d32f94eec6fe2d8c421bd223368a5ced]
- RM                  [Spectral Analysis] [Hercomputatie fee...] [2008-12-12 20:58:58] [deb3c14ac9e4607a6d84fc9d0e0e6cc2]
F                   [(Partial) Autocorrelation Function] [ARMA - (P)ACF] [2008-12-09 06:50:57] [5393e1e70f7d2761ff95f84c9c07decf]
-               [Standard Deviation-Mean Plot] [ARMA SDMP ] [2008-12-07 22:29:16] [d32f94eec6fe2d8c421bd223368a5ced]
F               [Standard Deviation-Mean Plot] [ARMA-step 1] [2008-12-09 06:43:59] [5393e1e70f7d2761ff95f84c9c07decf]
-    D            [Standard Deviation-Mean Plot] [paper-standard de...] [2008-12-10 15:13:32] [5393e1e70f7d2761ff95f84c9c07decf]
- RM                [Variance Reduction Matrix] [paper - variance ...] [2008-12-21 17:04:53] [5393e1e70f7d2761ff95f84c9c07decf]
- RMPD            [(Partial) Autocorrelation Function] [paper - ACF] [2008-12-10 16:38:46] [5393e1e70f7d2761ff95f84c9c07decf]
-   P               [(Partial) Autocorrelation Function] [paper - ACF d=1 D=0] [2008-12-16 11:06:18] [5393e1e70f7d2761ff95f84c9c07decf]
-   P                 [(Partial) Autocorrelation Function] [paper - ACF d=1 D=1] [2008-12-16 11:35:54] [5393e1e70f7d2761ff95f84c9c07decf]
- RMP                   [ARIMA Backward Selection] [paper - ARIMA Bac...] [2008-12-22 08:43:36] [5393e1e70f7d2761ff95f84c9c07decf]
- RMP                     [ARIMA Forecasting] [paper - ARIMA For...] [2008-12-22 08:50:31] [5393e1e70f7d2761ff95f84c9c07decf]
-             [Spectral Analysis] [ARMA Spectral ana...] [2008-12-07 22:24:37] [d32f94eec6fe2d8c421bd223368a5ced]
Feedback Forum
2008-12-14 15:16:19 [Mehmet Yilmaz] [reply] 
De student maakt hier gebruik van de juiste software.

d = 1
D = 0
Seasonal period = 12

Als we deze grafiek bestuderen, kan gezien worden dat de waarden hoofdzakelijk binnen het betrouwbaarheidsinterval liggen maar ze een trapsgewijs verloop kennen. Dit laatste is te wijten aan seizoensinvloeden.
2008-12-15 10:31:39 [Jonas De Kinder] [reply] 
we zien nu door d=1 in te stellen dat de langzaam dalende trend in het raw periodogram weg is. We kunnen zien dat er nog wel duidelijk seizoenaliteit aanwezig is door de grote op en neergaande pieken.

in het cumulatief periodogram zien we dat deze traps gewijs omhoog gaat, dit duidt ook op seizoenaliteit zoals we in het raw periodogram konden aflezen.

2008-12-15 19:39:23 [Jan Cavents] [reply] 
De dalende trend is in het raw periodogram sterk verminderd en is zelfs onbestaande. Door de pieken kunnen we opmerken dat er toch nog sprake is van seizonaliteit. in het cummulative periodogram merken we dat de rechte meer tussen het betrouwbaarheidsinterval komt te liggen. Toch verloopt deze rechte in trappen, wat ook op seizoensinvloeden wijst.

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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29337&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29337&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29337&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)155.412414
0.0053 (187.5)1219.726077
0.008 (125)10.065361
0.0107 (93.75)132.0608
0.0133 (75)110.437548
0.016 (62.5)1896.162617
0.0187 (53.5714)2702.817522
0.0213 (46.875)106.271123
0.024 (41.6667)2309.540563
0.0267 (37.5)301.197768
0.0293 (34.0909)1451.778048
0.032 (31.25)151.220166
0.0347 (28.8462)1415.549349
0.0373 (26.7857)997.940862
0.04 (25)2705.145983
0.0427 (23.4375)488.325815
0.0453 (22.0588)181.703293
0.048 (20.8333)1119.176861
0.0507 (19.7368)3.747669
0.0533 (18.75)858.852997
0.056 (17.8571)464.44751
0.0587 (17.0455)1768.263398
0.0613 (16.3043)383.794639
0.064 (15.625)559.879956
0.0667 (15)154.238408
0.0693 (14.4231)99.286938
0.072 (13.8889)19.478547
0.0747 (13.3929)630.969368
0.0773 (12.931)436.178194
0.08 (12.5)2020.094791
0.0827 (12.0968)17818.444247
0.0853 (11.7188)3279.419113
0.088 (11.3636)2404.191015
0.0907 (11.0294)1020.405903
0.0933 (10.7143)381.175405
0.096 (10.4167)222.118736
0.0987 (10.1351)662.439328
0.1013 (9.8684)27.245818
0.104 (9.6154)1880.18148
0.1067 (9.375)294.024279
0.1093 (9.1463)48.917572
0.112 (8.9286)69.437828
0.1147 (8.7209)226.289869
0.1173 (8.5227)222.182401
0.12 (8.3333)158.398241
0.1227 (8.1522)430.994974
0.1253 (7.9787)193.891825
0.128 (7.8125)108.308662
0.1307 (7.6531)62.77404
0.1333 (7.5)477.727227
0.136 (7.3529)259.908824
0.1387 (7.2115)5.229673
0.1413 (7.0755)159.037858
0.144 (6.9444)689.617515
0.1467 (6.8182)329.872469
0.1493 (6.6964)394.366944
0.152 (6.5789)573.386706
0.1547 (6.4655)77.493785
0.1573 (6.3559)970.473686
0.16 (6.25)2677.729165
0.1627 (6.1475)5444.865078
0.1653 (6.0484)43191.668362
0.168 (5.9524)38013.137842
0.1707 (5.8594)5190.332755
0.1733 (5.7692)3211.100076
0.176 (5.6818)419.248146
0.1787 (5.597)422.819163
0.1813 (5.5147)105.021072
0.184 (5.4348)320.021985
0.1867 (5.3571)549.90214
0.1893 (5.2817)5.137505
0.192 (5.2083)4.09292
0.1947 (5.137)697.053663
0.1973 (5.0676)132.557496
0.2 (5)152.372479
0.2027 (4.9342)517.586355
0.2053 (4.8701)833.616753
0.208 (4.8077)443.430265
0.2107 (4.7468)19.086247
0.2133 (4.6875)257.967823
0.216 (4.6296)140.989345
0.2187 (4.5732)147.487008
0.2213 (4.5181)121.987619
0.224 (4.4643)77.571024
0.2267 (4.4118)96.259675
0.2293 (4.3605)292.989818
0.232 (4.3103)99.645
0.2347 (4.2614)259.338144
0.2373 (4.2135)988.07046
0.24 (4.1667)1989.709198
0.2427 (4.1209)132.60133
0.2453 (4.0761)1454.574833
0.248 (4.0323)11778.721831
0.2507 (3.9894)43515.553616
0.2533 (3.9474)3055.450439
0.256 (3.9063)824.667335
0.2587 (3.866)133.961221
0.2613 (3.8265)139.019113
0.264 (3.7879)347.705389
0.2667 (3.75)18.566897
0.2693 (3.7129)370.760089
0.272 (3.6765)336.079492
0.2747 (3.6408)373.852987
0.2773 (3.6058)145.098336
0.28 (3.5714)65.390918
0.2827 (3.5377)202.538912
0.2853 (3.5047)499.151096
0.288 (3.4722)144.550672
0.2907 (3.4404)155.762942
0.2933 (3.4091)116.686508
0.296 (3.3784)60.810304
0.2987 (3.3482)7.2873
0.3013 (3.3186)194.74728
0.304 (3.2895)68.993253
0.3067 (3.2609)14.680276
0.3093 (3.2328)175.556669
0.312 (3.2051)144.71366
0.3147 (3.178)288.790821
0.3173 (3.1513)73.369862
0.32 (3.125)27.699263
0.3227 (3.0992)702.028539
0.3253 (3.0738)47.511639
0.328 (3.0488)381.206802
0.3307 (3.0242)4146.671383
0.3333 (3)6357.758034
0.336 (2.9762)598.134723
0.3387 (2.9528)644.587937
0.3413 (2.9297)1.633617
0.344 (2.907)332.029053
0.3467 (2.8846)67.815874
0.3493 (2.8626)991.906242
0.352 (2.8409)246.063546
0.3547 (2.8195)34.253437
0.3573 (2.7985)82.96705
0.36 (2.7778)113.409026
0.3627 (2.7574)1231.23958
0.3653 (2.7372)163.24192
0.368 (2.7174)26.839455
0.3707 (2.6978)173.718118
0.3733 (2.6786)71.847183
0.376 (2.6596)99.550521
0.3787 (2.6408)127.6168
0.3813 (2.6224)343.250217
0.384 (2.6042)242.58679
0.3867 (2.5862)20.346686
0.3893 (2.5685)321.583339
0.392 (2.551)472.790806
0.3947 (2.5338)418.821976
0.3973 (2.5168)117.148531
0.4 (2.5)116.930692
0.4027 (2.4834)222.711891
0.4053 (2.4671)65.490657
0.408 (2.451)660.673703
0.4107 (2.4351)297.199675
0.4133 (2.4194)3513.406096
0.416 (2.4038)52462.677472
0.4187 (2.3885)13210.824903
0.4213 (2.3734)5309.938936
0.424 (2.3585)1292.97337
0.4267 (2.3438)433.339575
0.4293 (2.3292)165.68755
0.432 (2.3148)1024.7289
0.4347 (2.3006)117.389775
0.4373 (2.2866)244.221782
0.44 (2.2727)18.537956
0.4427 (2.259)353.742198
0.4453 (2.2455)376.72711
0.448 (2.2321)243.492041
0.4507 (2.2189)188.191399
0.4533 (2.2059)189.086363
0.456 (2.193)950.270157
0.4587 (2.1802)134.541325
0.4613 (2.1676)196.670731
0.464 (2.1552)168.411901
0.4667 (2.1429)203.516144
0.4693 (2.1307)2.816269
0.472 (2.1186)2046.739407
0.4747 (2.1067)13.830146
0.4773 (2.095)498.724388
0.48 (2.0833)1158.954172
0.4827 (2.0718)126.554305
0.4853 (2.0604)391.486523
0.488 (2.0492)107.690373
0.4907 (2.038)95.995518
0.4933 (2.027)311.153528
0.496 (2.0161)3426.230294
0.4987 (2.0053)1302.430056

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 1 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 155.412414 \tabularnewline
0.0053 (187.5) & 1219.726077 \tabularnewline
0.008 (125) & 10.065361 \tabularnewline
0.0107 (93.75) & 132.0608 \tabularnewline
0.0133 (75) & 110.437548 \tabularnewline
0.016 (62.5) & 1896.162617 \tabularnewline
0.0187 (53.5714) & 2702.817522 \tabularnewline
0.0213 (46.875) & 106.271123 \tabularnewline
0.024 (41.6667) & 2309.540563 \tabularnewline
0.0267 (37.5) & 301.197768 \tabularnewline
0.0293 (34.0909) & 1451.778048 \tabularnewline
0.032 (31.25) & 151.220166 \tabularnewline
0.0347 (28.8462) & 1415.549349 \tabularnewline
0.0373 (26.7857) & 997.940862 \tabularnewline
0.04 (25) & 2705.145983 \tabularnewline
0.0427 (23.4375) & 488.325815 \tabularnewline
0.0453 (22.0588) & 181.703293 \tabularnewline
0.048 (20.8333) & 1119.176861 \tabularnewline
0.0507 (19.7368) & 3.747669 \tabularnewline
0.0533 (18.75) & 858.852997 \tabularnewline
0.056 (17.8571) & 464.44751 \tabularnewline
0.0587 (17.0455) & 1768.263398 \tabularnewline
0.0613 (16.3043) & 383.794639 \tabularnewline
0.064 (15.625) & 559.879956 \tabularnewline
0.0667 (15) & 154.238408 \tabularnewline
0.0693 (14.4231) & 99.286938 \tabularnewline
0.072 (13.8889) & 19.478547 \tabularnewline
0.0747 (13.3929) & 630.969368 \tabularnewline
0.0773 (12.931) & 436.178194 \tabularnewline
0.08 (12.5) & 2020.094791 \tabularnewline
0.0827 (12.0968) & 17818.444247 \tabularnewline
0.0853 (11.7188) & 3279.419113 \tabularnewline
0.088 (11.3636) & 2404.191015 \tabularnewline
0.0907 (11.0294) & 1020.405903 \tabularnewline
0.0933 (10.7143) & 381.175405 \tabularnewline
0.096 (10.4167) & 222.118736 \tabularnewline
0.0987 (10.1351) & 662.439328 \tabularnewline
0.1013 (9.8684) & 27.245818 \tabularnewline
0.104 (9.6154) & 1880.18148 \tabularnewline
0.1067 (9.375) & 294.024279 \tabularnewline
0.1093 (9.1463) & 48.917572 \tabularnewline
0.112 (8.9286) & 69.437828 \tabularnewline
0.1147 (8.7209) & 226.289869 \tabularnewline
0.1173 (8.5227) & 222.182401 \tabularnewline
0.12 (8.3333) & 158.398241 \tabularnewline
0.1227 (8.1522) & 430.994974 \tabularnewline
0.1253 (7.9787) & 193.891825 \tabularnewline
0.128 (7.8125) & 108.308662 \tabularnewline
0.1307 (7.6531) & 62.77404 \tabularnewline
0.1333 (7.5) & 477.727227 \tabularnewline
0.136 (7.3529) & 259.908824 \tabularnewline
0.1387 (7.2115) & 5.229673 \tabularnewline
0.1413 (7.0755) & 159.037858 \tabularnewline
0.144 (6.9444) & 689.617515 \tabularnewline
0.1467 (6.8182) & 329.872469 \tabularnewline
0.1493 (6.6964) & 394.366944 \tabularnewline
0.152 (6.5789) & 573.386706 \tabularnewline
0.1547 (6.4655) & 77.493785 \tabularnewline
0.1573 (6.3559) & 970.473686 \tabularnewline
0.16 (6.25) & 2677.729165 \tabularnewline
0.1627 (6.1475) & 5444.865078 \tabularnewline
0.1653 (6.0484) & 43191.668362 \tabularnewline
0.168 (5.9524) & 38013.137842 \tabularnewline
0.1707 (5.8594) & 5190.332755 \tabularnewline
0.1733 (5.7692) & 3211.100076 \tabularnewline
0.176 (5.6818) & 419.248146 \tabularnewline
0.1787 (5.597) & 422.819163 \tabularnewline
0.1813 (5.5147) & 105.021072 \tabularnewline
0.184 (5.4348) & 320.021985 \tabularnewline
0.1867 (5.3571) & 549.90214 \tabularnewline
0.1893 (5.2817) & 5.137505 \tabularnewline
0.192 (5.2083) & 4.09292 \tabularnewline
0.1947 (5.137) & 697.053663 \tabularnewline
0.1973 (5.0676) & 132.557496 \tabularnewline
0.2 (5) & 152.372479 \tabularnewline
0.2027 (4.9342) & 517.586355 \tabularnewline
0.2053 (4.8701) & 833.616753 \tabularnewline
0.208 (4.8077) & 443.430265 \tabularnewline
0.2107 (4.7468) & 19.086247 \tabularnewline
0.2133 (4.6875) & 257.967823 \tabularnewline
0.216 (4.6296) & 140.989345 \tabularnewline
0.2187 (4.5732) & 147.487008 \tabularnewline
0.2213 (4.5181) & 121.987619 \tabularnewline
0.224 (4.4643) & 77.571024 \tabularnewline
0.2267 (4.4118) & 96.259675 \tabularnewline
0.2293 (4.3605) & 292.989818 \tabularnewline
0.232 (4.3103) & 99.645 \tabularnewline
0.2347 (4.2614) & 259.338144 \tabularnewline
0.2373 (4.2135) & 988.07046 \tabularnewline
0.24 (4.1667) & 1989.709198 \tabularnewline
0.2427 (4.1209) & 132.60133 \tabularnewline
0.2453 (4.0761) & 1454.574833 \tabularnewline
0.248 (4.0323) & 11778.721831 \tabularnewline
0.2507 (3.9894) & 43515.553616 \tabularnewline
0.2533 (3.9474) & 3055.450439 \tabularnewline
0.256 (3.9063) & 824.667335 \tabularnewline
0.2587 (3.866) & 133.961221 \tabularnewline
0.2613 (3.8265) & 139.019113 \tabularnewline
0.264 (3.7879) & 347.705389 \tabularnewline
0.2667 (3.75) & 18.566897 \tabularnewline
0.2693 (3.7129) & 370.760089 \tabularnewline
0.272 (3.6765) & 336.079492 \tabularnewline
0.2747 (3.6408) & 373.852987 \tabularnewline
0.2773 (3.6058) & 145.098336 \tabularnewline
0.28 (3.5714) & 65.390918 \tabularnewline
0.2827 (3.5377) & 202.538912 \tabularnewline
0.2853 (3.5047) & 499.151096 \tabularnewline
0.288 (3.4722) & 144.550672 \tabularnewline
0.2907 (3.4404) & 155.762942 \tabularnewline
0.2933 (3.4091) & 116.686508 \tabularnewline
0.296 (3.3784) & 60.810304 \tabularnewline
0.2987 (3.3482) & 7.2873 \tabularnewline
0.3013 (3.3186) & 194.74728 \tabularnewline
0.304 (3.2895) & 68.993253 \tabularnewline
0.3067 (3.2609) & 14.680276 \tabularnewline
0.3093 (3.2328) & 175.556669 \tabularnewline
0.312 (3.2051) & 144.71366 \tabularnewline
0.3147 (3.178) & 288.790821 \tabularnewline
0.3173 (3.1513) & 73.369862 \tabularnewline
0.32 (3.125) & 27.699263 \tabularnewline
0.3227 (3.0992) & 702.028539 \tabularnewline
0.3253 (3.0738) & 47.511639 \tabularnewline
0.328 (3.0488) & 381.206802 \tabularnewline
0.3307 (3.0242) & 4146.671383 \tabularnewline
0.3333 (3) & 6357.758034 \tabularnewline
0.336 (2.9762) & 598.134723 \tabularnewline
0.3387 (2.9528) & 644.587937 \tabularnewline
0.3413 (2.9297) & 1.633617 \tabularnewline
0.344 (2.907) & 332.029053 \tabularnewline
0.3467 (2.8846) & 67.815874 \tabularnewline
0.3493 (2.8626) & 991.906242 \tabularnewline
0.352 (2.8409) & 246.063546 \tabularnewline
0.3547 (2.8195) & 34.253437 \tabularnewline
0.3573 (2.7985) & 82.96705 \tabularnewline
0.36 (2.7778) & 113.409026 \tabularnewline
0.3627 (2.7574) & 1231.23958 \tabularnewline
0.3653 (2.7372) & 163.24192 \tabularnewline
0.368 (2.7174) & 26.839455 \tabularnewline
0.3707 (2.6978) & 173.718118 \tabularnewline
0.3733 (2.6786) & 71.847183 \tabularnewline
0.376 (2.6596) & 99.550521 \tabularnewline
0.3787 (2.6408) & 127.6168 \tabularnewline
0.3813 (2.6224) & 343.250217 \tabularnewline
0.384 (2.6042) & 242.58679 \tabularnewline
0.3867 (2.5862) & 20.346686 \tabularnewline
0.3893 (2.5685) & 321.583339 \tabularnewline
0.392 (2.551) & 472.790806 \tabularnewline
0.3947 (2.5338) & 418.821976 \tabularnewline
0.3973 (2.5168) & 117.148531 \tabularnewline
0.4 (2.5) & 116.930692 \tabularnewline
0.4027 (2.4834) & 222.711891 \tabularnewline
0.4053 (2.4671) & 65.490657 \tabularnewline
0.408 (2.451) & 660.673703 \tabularnewline
0.4107 (2.4351) & 297.199675 \tabularnewline
0.4133 (2.4194) & 3513.406096 \tabularnewline
0.416 (2.4038) & 52462.677472 \tabularnewline
0.4187 (2.3885) & 13210.824903 \tabularnewline
0.4213 (2.3734) & 5309.938936 \tabularnewline
0.424 (2.3585) & 1292.97337 \tabularnewline
0.4267 (2.3438) & 433.339575 \tabularnewline
0.4293 (2.3292) & 165.68755 \tabularnewline
0.432 (2.3148) & 1024.7289 \tabularnewline
0.4347 (2.3006) & 117.389775 \tabularnewline
0.4373 (2.2866) & 244.221782 \tabularnewline
0.44 (2.2727) & 18.537956 \tabularnewline
0.4427 (2.259) & 353.742198 \tabularnewline
0.4453 (2.2455) & 376.72711 \tabularnewline
0.448 (2.2321) & 243.492041 \tabularnewline
0.4507 (2.2189) & 188.191399 \tabularnewline
0.4533 (2.2059) & 189.086363 \tabularnewline
0.456 (2.193) & 950.270157 \tabularnewline
0.4587 (2.1802) & 134.541325 \tabularnewline
0.4613 (2.1676) & 196.670731 \tabularnewline
0.464 (2.1552) & 168.411901 \tabularnewline
0.4667 (2.1429) & 203.516144 \tabularnewline
0.4693 (2.1307) & 2.816269 \tabularnewline
0.472 (2.1186) & 2046.739407 \tabularnewline
0.4747 (2.1067) & 13.830146 \tabularnewline
0.4773 (2.095) & 498.724388 \tabularnewline
0.48 (2.0833) & 1158.954172 \tabularnewline
0.4827 (2.0718) & 126.554305 \tabularnewline
0.4853 (2.0604) & 391.486523 \tabularnewline
0.488 (2.0492) & 107.690373 \tabularnewline
0.4907 (2.038) & 95.995518 \tabularnewline
0.4933 (2.027) & 311.153528 \tabularnewline
0.496 (2.0161) & 3426.230294 \tabularnewline
0.4987 (2.0053) & 1302.430056 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29337&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]1[/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]155.412414[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]1219.726077[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]10.065361[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]132.0608[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]110.437548[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]1896.162617[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]2702.817522[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]106.271123[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]2309.540563[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]301.197768[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]1451.778048[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]151.220166[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]1415.549349[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]997.940862[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]2705.145983[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]488.325815[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]181.703293[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]1119.176861[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]3.747669[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]858.852997[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]464.44751[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]1768.263398[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]383.794639[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]559.879956[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]154.238408[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]99.286938[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]19.478547[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]630.969368[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]436.178194[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]2020.094791[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]17818.444247[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]3279.419113[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]2404.191015[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]1020.405903[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]381.175405[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]222.118736[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]662.439328[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]27.245818[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]1880.18148[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]294.024279[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]48.917572[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]69.437828[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]226.289869[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]222.182401[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]158.398241[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]430.994974[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]193.891825[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]108.308662[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]62.77404[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]477.727227[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]259.908824[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]5.229673[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]159.037858[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]689.617515[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]329.872469[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]394.366944[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]573.386706[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]77.493785[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]970.473686[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2677.729165[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]5444.865078[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]43191.668362[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]38013.137842[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]5190.332755[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]3211.100076[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]419.248146[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]422.819163[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]105.021072[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]320.021985[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]549.90214[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]5.137505[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]4.09292[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]697.053663[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]132.557496[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]152.372479[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]517.586355[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]833.616753[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]443.430265[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]19.086247[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]257.967823[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]140.989345[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]147.487008[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]121.987619[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]77.571024[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]96.259675[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]292.989818[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]99.645[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]259.338144[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]988.07046[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]1989.709198[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]132.60133[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]1454.574833[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]11778.721831[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]43515.553616[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]3055.450439[/C][/ROW]
[ROW][C]0.256 (3.9063)[/C][C]824.667335[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]133.961221[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]139.019113[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]347.705389[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]18.566897[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]370.760089[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]336.079492[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]373.852987[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]145.098336[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]65.390918[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]202.538912[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]499.151096[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]144.550672[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]155.762942[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]116.686508[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]60.810304[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]7.2873[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]194.74728[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]68.993253[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]14.680276[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]175.556669[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]144.71366[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]288.790821[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]73.369862[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]27.699263[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]702.028539[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]47.511639[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]381.206802[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]4146.671383[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]6357.758034[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]598.134723[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]644.587937[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]1.633617[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]332.029053[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]67.815874[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]991.906242[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]246.063546[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]34.253437[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]82.96705[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]113.409026[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]1231.23958[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]163.24192[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]26.839455[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]173.718118[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]71.847183[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]99.550521[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]127.6168[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]343.250217[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]242.58679[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]20.346686[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]321.583339[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]472.790806[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]418.821976[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]117.148531[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]116.930692[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]222.711891[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]65.490657[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]660.673703[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]297.199675[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]3513.406096[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]52462.677472[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]13210.824903[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]5309.938936[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]1292.97337[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]433.339575[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]165.68755[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]1024.7289[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]117.389775[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]244.221782[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]18.537956[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]353.742198[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]376.72711[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]243.492041[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]188.191399[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]189.086363[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]950.270157[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]134.541325[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]196.670731[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]168.411901[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]203.516144[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]2.816269[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]2046.739407[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]13.830146[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]498.724388[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]1158.954172[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]126.554305[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]391.486523[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]107.690373[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]95.995518[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]311.153528[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]3426.230294[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]1302.430056[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29337&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29337&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)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)155.412414
0.0053 (187.5)1219.726077
0.008 (125)10.065361
0.0107 (93.75)132.0608
0.0133 (75)110.437548
0.016 (62.5)1896.162617
0.0187 (53.5714)2702.817522
0.0213 (46.875)106.271123
0.024 (41.6667)2309.540563
0.0267 (37.5)301.197768
0.0293 (34.0909)1451.778048
0.032 (31.25)151.220166
0.0347 (28.8462)1415.549349
0.0373 (26.7857)997.940862
0.04 (25)2705.145983
0.0427 (23.4375)488.325815
0.0453 (22.0588)181.703293
0.048 (20.8333)1119.176861
0.0507 (19.7368)3.747669
0.0533 (18.75)858.852997
0.056 (17.8571)464.44751
0.0587 (17.0455)1768.263398
0.0613 (16.3043)383.794639
0.064 (15.625)559.879956
0.0667 (15)154.238408
0.0693 (14.4231)99.286938
0.072 (13.8889)19.478547
0.0747 (13.3929)630.969368
0.0773 (12.931)436.178194
0.08 (12.5)2020.094791
0.0827 (12.0968)17818.444247
0.0853 (11.7188)3279.419113
0.088 (11.3636)2404.191015
0.0907 (11.0294)1020.405903
0.0933 (10.7143)381.175405
0.096 (10.4167)222.118736
0.0987 (10.1351)662.439328
0.1013 (9.8684)27.245818
0.104 (9.6154)1880.18148
0.1067 (9.375)294.024279
0.1093 (9.1463)48.917572
0.112 (8.9286)69.437828
0.1147 (8.7209)226.289869
0.1173 (8.5227)222.182401
0.12 (8.3333)158.398241
0.1227 (8.1522)430.994974
0.1253 (7.9787)193.891825
0.128 (7.8125)108.308662
0.1307 (7.6531)62.77404
0.1333 (7.5)477.727227
0.136 (7.3529)259.908824
0.1387 (7.2115)5.229673
0.1413 (7.0755)159.037858
0.144 (6.9444)689.617515
0.1467 (6.8182)329.872469
0.1493 (6.6964)394.366944
0.152 (6.5789)573.386706
0.1547 (6.4655)77.493785
0.1573 (6.3559)970.473686
0.16 (6.25)2677.729165
0.1627 (6.1475)5444.865078
0.1653 (6.0484)43191.668362
0.168 (5.9524)38013.137842
0.1707 (5.8594)5190.332755
0.1733 (5.7692)3211.100076
0.176 (5.6818)419.248146
0.1787 (5.597)422.819163
0.1813 (5.5147)105.021072
0.184 (5.4348)320.021985
0.1867 (5.3571)549.90214
0.1893 (5.2817)5.137505
0.192 (5.2083)4.09292
0.1947 (5.137)697.053663
0.1973 (5.0676)132.557496
0.2 (5)152.372479
0.2027 (4.9342)517.586355
0.2053 (4.8701)833.616753
0.208 (4.8077)443.430265
0.2107 (4.7468)19.086247
0.2133 (4.6875)257.967823
0.216 (4.6296)140.989345
0.2187 (4.5732)147.487008
0.2213 (4.5181)121.987619
0.224 (4.4643)77.571024
0.2267 (4.4118)96.259675
0.2293 (4.3605)292.989818
0.232 (4.3103)99.645
0.2347 (4.2614)259.338144
0.2373 (4.2135)988.07046
0.24 (4.1667)1989.709198
0.2427 (4.1209)132.60133
0.2453 (4.0761)1454.574833
0.248 (4.0323)11778.721831
0.2507 (3.9894)43515.553616
0.2533 (3.9474)3055.450439
0.256 (3.9063)824.667335
0.2587 (3.866)133.961221
0.2613 (3.8265)139.019113
0.264 (3.7879)347.705389
0.2667 (3.75)18.566897
0.2693 (3.7129)370.760089
0.272 (3.6765)336.079492
0.2747 (3.6408)373.852987
0.2773 (3.6058)145.098336
0.28 (3.5714)65.390918
0.2827 (3.5377)202.538912
0.2853 (3.5047)499.151096
0.288 (3.4722)144.550672
0.2907 (3.4404)155.762942
0.2933 (3.4091)116.686508
0.296 (3.3784)60.810304
0.2987 (3.3482)7.2873
0.3013 (3.3186)194.74728
0.304 (3.2895)68.993253
0.3067 (3.2609)14.680276
0.3093 (3.2328)175.556669
0.312 (3.2051)144.71366
0.3147 (3.178)288.790821
0.3173 (3.1513)73.369862
0.32 (3.125)27.699263
0.3227 (3.0992)702.028539
0.3253 (3.0738)47.511639
0.328 (3.0488)381.206802
0.3307 (3.0242)4146.671383
0.3333 (3)6357.758034
0.336 (2.9762)598.134723
0.3387 (2.9528)644.587937
0.3413 (2.9297)1.633617
0.344 (2.907)332.029053
0.3467 (2.8846)67.815874
0.3493 (2.8626)991.906242
0.352 (2.8409)246.063546
0.3547 (2.8195)34.253437
0.3573 (2.7985)82.96705
0.36 (2.7778)113.409026
0.3627 (2.7574)1231.23958
0.3653 (2.7372)163.24192
0.368 (2.7174)26.839455
0.3707 (2.6978)173.718118
0.3733 (2.6786)71.847183
0.376 (2.6596)99.550521
0.3787 (2.6408)127.6168
0.3813 (2.6224)343.250217
0.384 (2.6042)242.58679
0.3867 (2.5862)20.346686
0.3893 (2.5685)321.583339
0.392 (2.551)472.790806
0.3947 (2.5338)418.821976
0.3973 (2.5168)117.148531
0.4 (2.5)116.930692
0.4027 (2.4834)222.711891
0.4053 (2.4671)65.490657
0.408 (2.451)660.673703
0.4107 (2.4351)297.199675
0.4133 (2.4194)3513.406096
0.416 (2.4038)52462.677472
0.4187 (2.3885)13210.824903
0.4213 (2.3734)5309.938936
0.424 (2.3585)1292.97337
0.4267 (2.3438)433.339575
0.4293 (2.3292)165.68755
0.432 (2.3148)1024.7289
0.4347 (2.3006)117.389775
0.4373 (2.2866)244.221782
0.44 (2.2727)18.537956
0.4427 (2.259)353.742198
0.4453 (2.2455)376.72711
0.448 (2.2321)243.492041
0.4507 (2.2189)188.191399
0.4533 (2.2059)189.086363
0.456 (2.193)950.270157
0.4587 (2.1802)134.541325
0.4613 (2.1676)196.670731
0.464 (2.1552)168.411901
0.4667 (2.1429)203.516144
0.4693 (2.1307)2.816269
0.472 (2.1186)2046.739407
0.4747 (2.1067)13.830146
0.4773 (2.095)498.724388
0.48 (2.0833)1158.954172
0.4827 (2.0718)126.554305
0.4853 (2.0604)391.486523
0.488 (2.0492)107.690373
0.4907 (2.038)95.995518
0.4933 (2.027)311.153528
0.496 (2.0161)3426.230294
0.4987 (2.0053)1302.430056


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; 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')