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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 computationSat, 29 Nov 2014 15:18:10 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/29/t1417274296i96xyftafre69i6.htm/, Retrieved Fri, 17 May 2024 05:18:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261170, Retrieved Fri, 17 May 2024 05:18:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [WS9] [2014-11-29 15:18:10] [c15d474939d69eac0efd26ce7542850f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
655362
873127
1107897
1555964
1671159
1493308
2957796
2638691
1305669
1280496
921900
867888
652586
913831
1108544
1555827
1699283
1509458
3268975
2425016
1312703
1365498
934453
775019
651142
843192
1146766
1652601
1465906
1652734
2922334
2702805
1458956
1410363
1019279
936574
708917
885295
1099663
1576220
1487870
1488635
2882530
2677026
1404398
1344370
936865
872705
628151
953712
1160384
1400618
1661511
1495347
2918786
2775677
1407026
1370199
964526
850851
683118
847224
1073256
1514326
1503734
1507712
2865698
2788128
1391596
1366378
946295
859626
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'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261170&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261170&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261170&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'Gwilym Jenkins' @ jenkins.wessa.net






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)6231590707.39728
0.0053 (187.5)5967320534.25926
0.008 (125)6218624984.38806
0.0107 (93.75)6731414428.3268
0.0133 (75)6903646410.44024
0.016 (62.5)6642570881.80316
0.0187 (53.5714)6427451160.99704
0.0213 (46.875)6586884755.41243
0.024 (41.6667)7109658089.12449
0.0267 (37.5)7766603049.78874
0.0293 (34.0909)8221549686.15938
0.032 (31.25)8259456456.04147
0.0347 (28.8462)8007809727.16203
0.0373 (26.7857)7773919253.50076
0.04 (25)7658713799.02647
0.0427 (23.4375)7469948091.07655
0.0453 (22.0588)7281041120.27056
0.048 (20.8333)8053646041.47253
0.0507 (19.7368)11168786276.9232
0.0533 (18.75)16772065564.5596
0.056 (17.8571)22267262345.8001
0.0587 (17.0455)23142332922.2212
0.0613 (16.3043)16869049765.3882
0.064 (15.625)8042518242.34197
0.0667 (15)10132507965.4389
0.0693 (14.4231)40363808895.227
0.072 (13.8889)108993524865.864
0.0747 (13.3929)209163398676.343
0.0773 (12.931)315069408246.47
0.08 (12.5)391337488574.795
0.0827 (12.0968)410204160576.132
0.0853 (11.7188)365555138176.247
0.088 (11.3636)274753454689.976
0.0907 (11.0294)170134929778.677
0.0933 (10.7143)82308462719.0949
0.096 (10.4167)27281865855.0511
0.0987 (10.1351)3936931475.40015
0.1013 (9.8684)314184002.845541
0.104 (9.6154)3250474628.8013
0.1067 (9.375)4914692673.93815
0.1093 (9.1463)3818220251.43867
0.112 (8.9286)1817545699.83433
0.1147 (8.7209)736748140.540143
0.1173 (8.5227)850013667.875307
0.12 (8.3333)1353172326.61464
0.1227 (8.1522)1475885029.39041
0.1253 (7.9787)1109105224.80948
0.128 (7.8125)686869059.434545
0.1307 (7.6531)715061299.993196
0.1333 (7.5)1372355357.10554
0.136 (7.3529)2360863108.13501
0.1387 (7.2115)2990380300.90396
0.1413 (7.0755)2623515711.18585
0.144 (6.9444)1317416727.94996
0.1467 (6.8182)411034255.570206
0.1493 (6.6964)2588859451.97977
0.152 (6.5789)11050846272.2856
0.1547 (6.4655)27997661986.5434
0.1573 (6.3559)53079523392.5625
0.16 (6.25)82536375704.5578
0.1627 (6.1475)109816847257.245
0.1653 (6.0484)127464288356.234
0.168 (5.9524)130350236677.113
0.1707 (5.8594)117106846038.034
0.1733 (5.7692)91844536928.6344
0.176 (5.6818)62031776095.8887
0.1787 (5.597)35518512542.2694
0.1813 (5.5147)17335048968.8363
0.184 (5.4348)8248260646.81989
0.1867 (5.3571)5625888146.58321
0.1893 (5.2817)5765320026.47061
0.192 (5.2083)6055864775.9462
0.1947 (5.137)5763450229.67064
0.1973 (5.0676)5317961441.75893
0.2 (5)5193708212.31214
0.2027 (4.9342)5257420601.57812
0.2053 (4.8701)5028948554.6965
0.208 (4.8077)4282604656.51693
0.2107 (4.7468)3503181532.98778
0.2133 (4.6875)3848035325.41966
0.216 (4.6296)6576965053.90063
0.2187 (4.5732)11989771835.5512
0.2213 (4.5181)18347413910.6395
0.224 (4.4643)21776872931.9754
0.2267 (4.4118)18382449069.4962
0.2293 (4.3605)8514270814.25623
0.232 (4.3103)914117723.481413
0.2347 (4.2614)12647924810.1593
0.2373 (4.2135)62085639377.7799
0.24 (4.1667)156795447290.176
0.2427 (4.1209)283485424042.677
0.2453 (4.0761)407953405360.667
0.248 (4.0323)487938390808.888
0.2507 (3.9894)493427060752.373
0.2533 (3.9474)421731734939.115
0.256 (3.9063)300580127496.848
0.2587 (3.866)172138076199.514
0.2613 (3.8265)73150228065.9034
0.264 (3.7879)19388198787.1164
0.2667 (3.75)4117632519.10559
0.2693 (3.7129)8405131047.75022
0.272 (3.6765)14867534124.8705
0.2747 (3.6408)15814771609.6712
0.2773 (3.6058)12741104154.9341
0.28 (3.5714)10453177219.4165
0.2827 (3.5377)11468057198.0969
0.2853 (3.5047)14443492485.0826
0.288 (3.4722)16247834634.246
0.2907 (3.4404)14919659589.9564
0.2933 (3.4091)11108075329.37
0.296 (3.3784)7352974116.16469
0.2987 (3.3482)6098043639.70904
0.3013 (3.3186)7853971943.5006
0.304 (3.2895)10615041966.305
0.3067 (3.2609)11071188704.6103
0.3093 (3.2328)7443423772.49439
0.312 (3.2051)2484195372.11414
0.3147 (3.178)4521532188.38729
0.3173 (3.1513)24846422574.536
0.32 (3.125)71701163303.2014
0.3227 (3.0992)143834303659.938
0.3253 (3.0738)227754616295.028
0.328 (3.0488)300948729639.027
0.3307 (3.0242)340876541895.326
0.3333 (3)334002207570.173
0.336 (2.9762)282863070454.036
0.3387 (2.9528)203716967571.144
0.3413 (2.9297)120170625856.863
0.344 (2.907)53441368984.2701
0.3467 (2.8846)14729452302.8816
0.3493 (2.8626)3043948440.35124
0.352 (2.8409)8353524723.96227
0.3547 (2.8195)17979698040.331
0.3573 (2.7985)22728995802.4815
0.36 (2.7778)19912551022.6616
0.3627 (2.7574)12524744468.7978
0.3653 (2.7372)5726855312.31513
0.368 (2.7174)3129068997.52354
0.3707 (2.6978)4910094966.64069
0.3733 (2.6786)8415201654.11876
0.376 (2.6596)10355759528.246
0.3787 (2.6408)9049447029.02022
0.3813 (2.6224)5352539680.13902
0.384 (2.6042)1809806046.50977
0.3867 (2.5862)743267513.898326
0.3893 (2.5685)2406658696.75751
0.392 (2.551)4706602097.44824
0.3947 (2.5338)5092827193.92722
0.3973 (2.5168)3711327087.09338
0.4 (2.5)5508564186.82533
0.4027 (2.4834)18988647588.5148
0.4053 (2.4671)51077702439.1057
0.408 (2.451)100789111135.782
0.4107 (2.4351)156250700497.022
0.4133 (2.4194)198451420454.398
0.416 (2.4038)210279227137.953
0.4187 (2.3885)186775057192.613
0.4213 (2.3734)137080783081.362
0.424 (2.3585)81014183135.7589
0.4267 (2.3438)37224418358.0217
0.4293 (2.3292)14275211216.7688
0.432 (2.3148)8651651600.35221
0.4347 (2.3006)10134354973.5154
0.4373 (2.2866)9971546850.67555
0.44 (2.2727)5917309509.29178
0.4427 (2.259)1299547238.71364
0.4453 (2.2455)191692581.898135
0.448 (2.2321)3280246773.63336
0.4507 (2.2189)7463505384.38089
0.4533 (2.2059)8897318127.71775
0.456 (2.193)6384112571.38434
0.4587 (2.1802)2315632516.94847
0.4613 (2.1676)611591480.910499
0.464 (2.1552)3611698913.95567
0.4667 (2.1429)10312926072.0472
0.4693 (2.1307)17103212206.5174
0.472 (2.1186)20182674225.1594
0.4747 (2.1067)17959857168.304
0.4773 (2.095)11753371172.2263
0.48 (2.0833)4903491584.58233
0.4827 (2.0718)863472595.52378
0.4853 (2.0604)1464221056.47911
0.488 (2.0492)6414967977.41059
0.4907 (2.038)13827637938.5085
0.4933 (2.027)21365783182.2447
0.496 (2.0161)27165359002.034
0.4987 (2.0053)30254586321.0517

\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) & 6231590707.39728 \tabularnewline
0.0053 (187.5) & 5967320534.25926 \tabularnewline
0.008 (125) & 6218624984.38806 \tabularnewline
0.0107 (93.75) & 6731414428.3268 \tabularnewline
0.0133 (75) & 6903646410.44024 \tabularnewline
0.016 (62.5) & 6642570881.80316 \tabularnewline
0.0187 (53.5714) & 6427451160.99704 \tabularnewline
0.0213 (46.875) & 6586884755.41243 \tabularnewline
0.024 (41.6667) & 7109658089.12449 \tabularnewline
0.0267 (37.5) & 7766603049.78874 \tabularnewline
0.0293 (34.0909) & 8221549686.15938 \tabularnewline
0.032 (31.25) & 8259456456.04147 \tabularnewline
0.0347 (28.8462) & 8007809727.16203 \tabularnewline
0.0373 (26.7857) & 7773919253.50076 \tabularnewline
0.04 (25) & 7658713799.02647 \tabularnewline
0.0427 (23.4375) & 7469948091.07655 \tabularnewline
0.0453 (22.0588) & 7281041120.27056 \tabularnewline
0.048 (20.8333) & 8053646041.47253 \tabularnewline
0.0507 (19.7368) & 11168786276.9232 \tabularnewline
0.0533 (18.75) & 16772065564.5596 \tabularnewline
0.056 (17.8571) & 22267262345.8001 \tabularnewline
0.0587 (17.0455) & 23142332922.2212 \tabularnewline
0.0613 (16.3043) & 16869049765.3882 \tabularnewline
0.064 (15.625) & 8042518242.34197 \tabularnewline
0.0667 (15) & 10132507965.4389 \tabularnewline
0.0693 (14.4231) & 40363808895.227 \tabularnewline
0.072 (13.8889) & 108993524865.864 \tabularnewline
0.0747 (13.3929) & 209163398676.343 \tabularnewline
0.0773 (12.931) & 315069408246.47 \tabularnewline
0.08 (12.5) & 391337488574.795 \tabularnewline
0.0827 (12.0968) & 410204160576.132 \tabularnewline
0.0853 (11.7188) & 365555138176.247 \tabularnewline
0.088 (11.3636) & 274753454689.976 \tabularnewline
0.0907 (11.0294) & 170134929778.677 \tabularnewline
0.0933 (10.7143) & 82308462719.0949 \tabularnewline
0.096 (10.4167) & 27281865855.0511 \tabularnewline
0.0987 (10.1351) & 3936931475.40015 \tabularnewline
0.1013 (9.8684) & 314184002.845541 \tabularnewline
0.104 (9.6154) & 3250474628.8013 \tabularnewline
0.1067 (9.375) & 4914692673.93815 \tabularnewline
0.1093 (9.1463) & 3818220251.43867 \tabularnewline
0.112 (8.9286) & 1817545699.83433 \tabularnewline
0.1147 (8.7209) & 736748140.540143 \tabularnewline
0.1173 (8.5227) & 850013667.875307 \tabularnewline
0.12 (8.3333) & 1353172326.61464 \tabularnewline
0.1227 (8.1522) & 1475885029.39041 \tabularnewline
0.1253 (7.9787) & 1109105224.80948 \tabularnewline
0.128 (7.8125) & 686869059.434545 \tabularnewline
0.1307 (7.6531) & 715061299.993196 \tabularnewline
0.1333 (7.5) & 1372355357.10554 \tabularnewline
0.136 (7.3529) & 2360863108.13501 \tabularnewline
0.1387 (7.2115) & 2990380300.90396 \tabularnewline
0.1413 (7.0755) & 2623515711.18585 \tabularnewline
0.144 (6.9444) & 1317416727.94996 \tabularnewline
0.1467 (6.8182) & 411034255.570206 \tabularnewline
0.1493 (6.6964) & 2588859451.97977 \tabularnewline
0.152 (6.5789) & 11050846272.2856 \tabularnewline
0.1547 (6.4655) & 27997661986.5434 \tabularnewline
0.1573 (6.3559) & 53079523392.5625 \tabularnewline
0.16 (6.25) & 82536375704.5578 \tabularnewline
0.1627 (6.1475) & 109816847257.245 \tabularnewline
0.1653 (6.0484) & 127464288356.234 \tabularnewline
0.168 (5.9524) & 130350236677.113 \tabularnewline
0.1707 (5.8594) & 117106846038.034 \tabularnewline
0.1733 (5.7692) & 91844536928.6344 \tabularnewline
0.176 (5.6818) & 62031776095.8887 \tabularnewline
0.1787 (5.597) & 35518512542.2694 \tabularnewline
0.1813 (5.5147) & 17335048968.8363 \tabularnewline
0.184 (5.4348) & 8248260646.81989 \tabularnewline
0.1867 (5.3571) & 5625888146.58321 \tabularnewline
0.1893 (5.2817) & 5765320026.47061 \tabularnewline
0.192 (5.2083) & 6055864775.9462 \tabularnewline
0.1947 (5.137) & 5763450229.67064 \tabularnewline
0.1973 (5.0676) & 5317961441.75893 \tabularnewline
0.2 (5) & 5193708212.31214 \tabularnewline
0.2027 (4.9342) & 5257420601.57812 \tabularnewline
0.2053 (4.8701) & 5028948554.6965 \tabularnewline
0.208 (4.8077) & 4282604656.51693 \tabularnewline
0.2107 (4.7468) & 3503181532.98778 \tabularnewline
0.2133 (4.6875) & 3848035325.41966 \tabularnewline
0.216 (4.6296) & 6576965053.90063 \tabularnewline
0.2187 (4.5732) & 11989771835.5512 \tabularnewline
0.2213 (4.5181) & 18347413910.6395 \tabularnewline
0.224 (4.4643) & 21776872931.9754 \tabularnewline
0.2267 (4.4118) & 18382449069.4962 \tabularnewline
0.2293 (4.3605) & 8514270814.25623 \tabularnewline
0.232 (4.3103) & 914117723.481413 \tabularnewline
0.2347 (4.2614) & 12647924810.1593 \tabularnewline
0.2373 (4.2135) & 62085639377.7799 \tabularnewline
0.24 (4.1667) & 156795447290.176 \tabularnewline
0.2427 (4.1209) & 283485424042.677 \tabularnewline
0.2453 (4.0761) & 407953405360.667 \tabularnewline
0.248 (4.0323) & 487938390808.888 \tabularnewline
0.2507 (3.9894) & 493427060752.373 \tabularnewline
0.2533 (3.9474) & 421731734939.115 \tabularnewline
0.256 (3.9063) & 300580127496.848 \tabularnewline
0.2587 (3.866) & 172138076199.514 \tabularnewline
0.2613 (3.8265) & 73150228065.9034 \tabularnewline
0.264 (3.7879) & 19388198787.1164 \tabularnewline
0.2667 (3.75) & 4117632519.10559 \tabularnewline
0.2693 (3.7129) & 8405131047.75022 \tabularnewline
0.272 (3.6765) & 14867534124.8705 \tabularnewline
0.2747 (3.6408) & 15814771609.6712 \tabularnewline
0.2773 (3.6058) & 12741104154.9341 \tabularnewline
0.28 (3.5714) & 10453177219.4165 \tabularnewline
0.2827 (3.5377) & 11468057198.0969 \tabularnewline
0.2853 (3.5047) & 14443492485.0826 \tabularnewline
0.288 (3.4722) & 16247834634.246 \tabularnewline
0.2907 (3.4404) & 14919659589.9564 \tabularnewline
0.2933 (3.4091) & 11108075329.37 \tabularnewline
0.296 (3.3784) & 7352974116.16469 \tabularnewline
0.2987 (3.3482) & 6098043639.70904 \tabularnewline
0.3013 (3.3186) & 7853971943.5006 \tabularnewline
0.304 (3.2895) & 10615041966.305 \tabularnewline
0.3067 (3.2609) & 11071188704.6103 \tabularnewline
0.3093 (3.2328) & 7443423772.49439 \tabularnewline
0.312 (3.2051) & 2484195372.11414 \tabularnewline
0.3147 (3.178) & 4521532188.38729 \tabularnewline
0.3173 (3.1513) & 24846422574.536 \tabularnewline
0.32 (3.125) & 71701163303.2014 \tabularnewline
0.3227 (3.0992) & 143834303659.938 \tabularnewline
0.3253 (3.0738) & 227754616295.028 \tabularnewline
0.328 (3.0488) & 300948729639.027 \tabularnewline
0.3307 (3.0242) & 340876541895.326 \tabularnewline
0.3333 (3) & 334002207570.173 \tabularnewline
0.336 (2.9762) & 282863070454.036 \tabularnewline
0.3387 (2.9528) & 203716967571.144 \tabularnewline
0.3413 (2.9297) & 120170625856.863 \tabularnewline
0.344 (2.907) & 53441368984.2701 \tabularnewline
0.3467 (2.8846) & 14729452302.8816 \tabularnewline
0.3493 (2.8626) & 3043948440.35124 \tabularnewline
0.352 (2.8409) & 8353524723.96227 \tabularnewline
0.3547 (2.8195) & 17979698040.331 \tabularnewline
0.3573 (2.7985) & 22728995802.4815 \tabularnewline
0.36 (2.7778) & 19912551022.6616 \tabularnewline
0.3627 (2.7574) & 12524744468.7978 \tabularnewline
0.3653 (2.7372) & 5726855312.31513 \tabularnewline
0.368 (2.7174) & 3129068997.52354 \tabularnewline
0.3707 (2.6978) & 4910094966.64069 \tabularnewline
0.3733 (2.6786) & 8415201654.11876 \tabularnewline
0.376 (2.6596) & 10355759528.246 \tabularnewline
0.3787 (2.6408) & 9049447029.02022 \tabularnewline
0.3813 (2.6224) & 5352539680.13902 \tabularnewline
0.384 (2.6042) & 1809806046.50977 \tabularnewline
0.3867 (2.5862) & 743267513.898326 \tabularnewline
0.3893 (2.5685) & 2406658696.75751 \tabularnewline
0.392 (2.551) & 4706602097.44824 \tabularnewline
0.3947 (2.5338) & 5092827193.92722 \tabularnewline
0.3973 (2.5168) & 3711327087.09338 \tabularnewline
0.4 (2.5) & 5508564186.82533 \tabularnewline
0.4027 (2.4834) & 18988647588.5148 \tabularnewline
0.4053 (2.4671) & 51077702439.1057 \tabularnewline
0.408 (2.451) & 100789111135.782 \tabularnewline
0.4107 (2.4351) & 156250700497.022 \tabularnewline
0.4133 (2.4194) & 198451420454.398 \tabularnewline
0.416 (2.4038) & 210279227137.953 \tabularnewline
0.4187 (2.3885) & 186775057192.613 \tabularnewline
0.4213 (2.3734) & 137080783081.362 \tabularnewline
0.424 (2.3585) & 81014183135.7589 \tabularnewline
0.4267 (2.3438) & 37224418358.0217 \tabularnewline
0.4293 (2.3292) & 14275211216.7688 \tabularnewline
0.432 (2.3148) & 8651651600.35221 \tabularnewline
0.4347 (2.3006) & 10134354973.5154 \tabularnewline
0.4373 (2.2866) & 9971546850.67555 \tabularnewline
0.44 (2.2727) & 5917309509.29178 \tabularnewline
0.4427 (2.259) & 1299547238.71364 \tabularnewline
0.4453 (2.2455) & 191692581.898135 \tabularnewline
0.448 (2.2321) & 3280246773.63336 \tabularnewline
0.4507 (2.2189) & 7463505384.38089 \tabularnewline
0.4533 (2.2059) & 8897318127.71775 \tabularnewline
0.456 (2.193) & 6384112571.38434 \tabularnewline
0.4587 (2.1802) & 2315632516.94847 \tabularnewline
0.4613 (2.1676) & 611591480.910499 \tabularnewline
0.464 (2.1552) & 3611698913.95567 \tabularnewline
0.4667 (2.1429) & 10312926072.0472 \tabularnewline
0.4693 (2.1307) & 17103212206.5174 \tabularnewline
0.472 (2.1186) & 20182674225.1594 \tabularnewline
0.4747 (2.1067) & 17959857168.304 \tabularnewline
0.4773 (2.095) & 11753371172.2263 \tabularnewline
0.48 (2.0833) & 4903491584.58233 \tabularnewline
0.4827 (2.0718) & 863472595.52378 \tabularnewline
0.4853 (2.0604) & 1464221056.47911 \tabularnewline
0.488 (2.0492) & 6414967977.41059 \tabularnewline
0.4907 (2.038) & 13827637938.5085 \tabularnewline
0.4933 (2.027) & 21365783182.2447 \tabularnewline
0.496 (2.0161) & 27165359002.034 \tabularnewline
0.4987 (2.0053) & 30254586321.0517 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261170&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]6231590707.39728[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]5967320534.25926[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]6218624984.38806[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]6731414428.3268[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]6903646410.44024[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]6642570881.80316[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]6427451160.99704[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]6586884755.41243[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]7109658089.12449[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]7766603049.78874[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]8221549686.15938[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]8259456456.04147[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]8007809727.16203[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]7773919253.50076[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]7658713799.02647[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]7469948091.07655[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]7281041120.27056[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]8053646041.47253[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]11168786276.9232[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]16772065564.5596[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]22267262345.8001[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]23142332922.2212[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]16869049765.3882[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]8042518242.34197[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]10132507965.4389[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]40363808895.227[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]108993524865.864[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]209163398676.343[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]315069408246.47[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]391337488574.795[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]410204160576.132[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]365555138176.247[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]274753454689.976[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]170134929778.677[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]82308462719.0949[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]27281865855.0511[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]3936931475.40015[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]314184002.845541[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]3250474628.8013[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]4914692673.93815[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]3818220251.43867[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]1817545699.83433[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]736748140.540143[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]850013667.875307[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]1353172326.61464[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]1475885029.39041[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]1109105224.80948[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]686869059.434545[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]715061299.993196[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1372355357.10554[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]2360863108.13501[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]2990380300.90396[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]2623515711.18585[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]1317416727.94996[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]411034255.570206[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]2588859451.97977[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]11050846272.2856[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]27997661986.5434[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]53079523392.5625[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]82536375704.5578[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]109816847257.245[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]127464288356.234[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]130350236677.113[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]117106846038.034[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]91844536928.6344[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]62031776095.8887[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]35518512542.2694[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]17335048968.8363[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]8248260646.81989[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]5625888146.58321[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]5765320026.47061[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]6055864775.9462[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]5763450229.67064[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]5317961441.75893[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]5193708212.31214[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]5257420601.57812[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]5028948554.6965[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]4282604656.51693[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]3503181532.98778[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]3848035325.41966[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]6576965053.90063[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]11989771835.5512[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]18347413910.6395[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]21776872931.9754[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]18382449069.4962[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]8514270814.25623[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]914117723.481413[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]12647924810.1593[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]62085639377.7799[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]156795447290.176[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]283485424042.677[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]407953405360.667[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]487938390808.888[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]493427060752.373[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]421731734939.115[/C][/ROW]
[ROW][C]0.256 (3.9063)[/C][C]300580127496.848[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]172138076199.514[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]73150228065.9034[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]19388198787.1164[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]4117632519.10559[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]8405131047.75022[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]14867534124.8705[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]15814771609.6712[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]12741104154.9341[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]10453177219.4165[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]11468057198.0969[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]14443492485.0826[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]16247834634.246[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]14919659589.9564[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]11108075329.37[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]7352974116.16469[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]6098043639.70904[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]7853971943.5006[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]10615041966.305[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]11071188704.6103[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]7443423772.49439[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]2484195372.11414[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]4521532188.38729[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]24846422574.536[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]71701163303.2014[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]143834303659.938[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]227754616295.028[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]300948729639.027[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]340876541895.326[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]334002207570.173[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]282863070454.036[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]203716967571.144[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]120170625856.863[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]53441368984.2701[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]14729452302.8816[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]3043948440.35124[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]8353524723.96227[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]17979698040.331[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]22728995802.4815[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]19912551022.6616[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]12524744468.7978[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]5726855312.31513[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]3129068997.52354[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]4910094966.64069[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]8415201654.11876[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]10355759528.246[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]9049447029.02022[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]5352539680.13902[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]1809806046.50977[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]743267513.898326[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]2406658696.75751[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]4706602097.44824[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]5092827193.92722[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]3711327087.09338[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]5508564186.82533[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]18988647588.5148[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]51077702439.1057[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]100789111135.782[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]156250700497.022[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]198451420454.398[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]210279227137.953[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]186775057192.613[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]137080783081.362[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]81014183135.7589[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]37224418358.0217[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]14275211216.7688[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]8651651600.35221[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]10134354973.5154[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]9971546850.67555[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]5917309509.29178[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]1299547238.71364[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]191692581.898135[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]3280246773.63336[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]7463505384.38089[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]8897318127.71775[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]6384112571.38434[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]2315632516.94847[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]611591480.910499[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]3611698913.95567[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]10312926072.0472[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]17103212206.5174[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]20182674225.1594[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]17959857168.304[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]11753371172.2263[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]4903491584.58233[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]863472595.52378[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]1464221056.47911[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]6414967977.41059[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]13827637938.5085[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]21365783182.2447[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]27165359002.034[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]30254586321.0517[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261170&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261170&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)6231590707.39728
0.0053 (187.5)5967320534.25926
0.008 (125)6218624984.38806
0.0107 (93.75)6731414428.3268
0.0133 (75)6903646410.44024
0.016 (62.5)6642570881.80316
0.0187 (53.5714)6427451160.99704
0.0213 (46.875)6586884755.41243
0.024 (41.6667)7109658089.12449
0.0267 (37.5)7766603049.78874
0.0293 (34.0909)8221549686.15938
0.032 (31.25)8259456456.04147
0.0347 (28.8462)8007809727.16203
0.0373 (26.7857)7773919253.50076
0.04 (25)7658713799.02647
0.0427 (23.4375)7469948091.07655
0.0453 (22.0588)7281041120.27056
0.048 (20.8333)8053646041.47253
0.0507 (19.7368)11168786276.9232
0.0533 (18.75)16772065564.5596
0.056 (17.8571)22267262345.8001
0.0587 (17.0455)23142332922.2212
0.0613 (16.3043)16869049765.3882
0.064 (15.625)8042518242.34197
0.0667 (15)10132507965.4389
0.0693 (14.4231)40363808895.227
0.072 (13.8889)108993524865.864
0.0747 (13.3929)209163398676.343
0.0773 (12.931)315069408246.47
0.08 (12.5)391337488574.795
0.0827 (12.0968)410204160576.132
0.0853 (11.7188)365555138176.247
0.088 (11.3636)274753454689.976
0.0907 (11.0294)170134929778.677
0.0933 (10.7143)82308462719.0949
0.096 (10.4167)27281865855.0511
0.0987 (10.1351)3936931475.40015
0.1013 (9.8684)314184002.845541
0.104 (9.6154)3250474628.8013
0.1067 (9.375)4914692673.93815
0.1093 (9.1463)3818220251.43867
0.112 (8.9286)1817545699.83433
0.1147 (8.7209)736748140.540143
0.1173 (8.5227)850013667.875307
0.12 (8.3333)1353172326.61464
0.1227 (8.1522)1475885029.39041
0.1253 (7.9787)1109105224.80948
0.128 (7.8125)686869059.434545
0.1307 (7.6531)715061299.993196
0.1333 (7.5)1372355357.10554
0.136 (7.3529)2360863108.13501
0.1387 (7.2115)2990380300.90396
0.1413 (7.0755)2623515711.18585
0.144 (6.9444)1317416727.94996
0.1467 (6.8182)411034255.570206
0.1493 (6.6964)2588859451.97977
0.152 (6.5789)11050846272.2856
0.1547 (6.4655)27997661986.5434
0.1573 (6.3559)53079523392.5625
0.16 (6.25)82536375704.5578
0.1627 (6.1475)109816847257.245
0.1653 (6.0484)127464288356.234
0.168 (5.9524)130350236677.113
0.1707 (5.8594)117106846038.034
0.1733 (5.7692)91844536928.6344
0.176 (5.6818)62031776095.8887
0.1787 (5.597)35518512542.2694
0.1813 (5.5147)17335048968.8363
0.184 (5.4348)8248260646.81989
0.1867 (5.3571)5625888146.58321
0.1893 (5.2817)5765320026.47061
0.192 (5.2083)6055864775.9462
0.1947 (5.137)5763450229.67064
0.1973 (5.0676)5317961441.75893
0.2 (5)5193708212.31214
0.2027 (4.9342)5257420601.57812
0.2053 (4.8701)5028948554.6965
0.208 (4.8077)4282604656.51693
0.2107 (4.7468)3503181532.98778
0.2133 (4.6875)3848035325.41966
0.216 (4.6296)6576965053.90063
0.2187 (4.5732)11989771835.5512
0.2213 (4.5181)18347413910.6395
0.224 (4.4643)21776872931.9754
0.2267 (4.4118)18382449069.4962
0.2293 (4.3605)8514270814.25623
0.232 (4.3103)914117723.481413
0.2347 (4.2614)12647924810.1593
0.2373 (4.2135)62085639377.7799
0.24 (4.1667)156795447290.176
0.2427 (4.1209)283485424042.677
0.2453 (4.0761)407953405360.667
0.248 (4.0323)487938390808.888
0.2507 (3.9894)493427060752.373
0.2533 (3.9474)421731734939.115
0.256 (3.9063)300580127496.848
0.2587 (3.866)172138076199.514
0.2613 (3.8265)73150228065.9034
0.264 (3.7879)19388198787.1164
0.2667 (3.75)4117632519.10559
0.2693 (3.7129)8405131047.75022
0.272 (3.6765)14867534124.8705
0.2747 (3.6408)15814771609.6712
0.2773 (3.6058)12741104154.9341
0.28 (3.5714)10453177219.4165
0.2827 (3.5377)11468057198.0969
0.2853 (3.5047)14443492485.0826
0.288 (3.4722)16247834634.246
0.2907 (3.4404)14919659589.9564
0.2933 (3.4091)11108075329.37
0.296 (3.3784)7352974116.16469
0.2987 (3.3482)6098043639.70904
0.3013 (3.3186)7853971943.5006
0.304 (3.2895)10615041966.305
0.3067 (3.2609)11071188704.6103
0.3093 (3.2328)7443423772.49439
0.312 (3.2051)2484195372.11414
0.3147 (3.178)4521532188.38729
0.3173 (3.1513)24846422574.536
0.32 (3.125)71701163303.2014
0.3227 (3.0992)143834303659.938
0.3253 (3.0738)227754616295.028
0.328 (3.0488)300948729639.027
0.3307 (3.0242)340876541895.326
0.3333 (3)334002207570.173
0.336 (2.9762)282863070454.036
0.3387 (2.9528)203716967571.144
0.3413 (2.9297)120170625856.863
0.344 (2.907)53441368984.2701
0.3467 (2.8846)14729452302.8816
0.3493 (2.8626)3043948440.35124
0.352 (2.8409)8353524723.96227
0.3547 (2.8195)17979698040.331
0.3573 (2.7985)22728995802.4815
0.36 (2.7778)19912551022.6616
0.3627 (2.7574)12524744468.7978
0.3653 (2.7372)5726855312.31513
0.368 (2.7174)3129068997.52354
0.3707 (2.6978)4910094966.64069
0.3733 (2.6786)8415201654.11876
0.376 (2.6596)10355759528.246
0.3787 (2.6408)9049447029.02022
0.3813 (2.6224)5352539680.13902
0.384 (2.6042)1809806046.50977
0.3867 (2.5862)743267513.898326
0.3893 (2.5685)2406658696.75751
0.392 (2.551)4706602097.44824
0.3947 (2.5338)5092827193.92722
0.3973 (2.5168)3711327087.09338
0.4 (2.5)5508564186.82533
0.4027 (2.4834)18988647588.5148
0.4053 (2.4671)51077702439.1057
0.408 (2.451)100789111135.782
0.4107 (2.4351)156250700497.022
0.4133 (2.4194)198451420454.398
0.416 (2.4038)210279227137.953
0.4187 (2.3885)186775057192.613
0.4213 (2.3734)137080783081.362
0.424 (2.3585)81014183135.7589
0.4267 (2.3438)37224418358.0217
0.4293 (2.3292)14275211216.7688
0.432 (2.3148)8651651600.35221
0.4347 (2.3006)10134354973.5154
0.4373 (2.2866)9971546850.67555
0.44 (2.2727)5917309509.29178
0.4427 (2.259)1299547238.71364
0.4453 (2.2455)191692581.898135
0.448 (2.2321)3280246773.63336
0.4507 (2.2189)7463505384.38089
0.4533 (2.2059)8897318127.71775
0.456 (2.193)6384112571.38434
0.4587 (2.1802)2315632516.94847
0.4613 (2.1676)611591480.910499
0.464 (2.1552)3611698913.95567
0.4667 (2.1429)10312926072.0472
0.4693 (2.1307)17103212206.5174
0.472 (2.1186)20182674225.1594
0.4747 (2.1067)17959857168.304
0.4773 (2.095)11753371172.2263
0.48 (2.0833)4903491584.58233
0.4827 (2.0718)863472595.52378
0.4853 (2.0604)1464221056.47911
0.488 (2.0492)6414967977.41059
0.4907 (2.038)13827637938.5085
0.4933 (2.027)21365783182.2447
0.496 (2.0161)27165359002.034
0.4987 (2.0053)30254586321.0517


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):
par4 <- '12'
par3 <- '1'
par2 <- '0'
par1 <- '1'
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')