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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 15:03:11 +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/t14172734289jw2w9c0tm80mkb.htm/, Retrieved Sun, 19 May 2024 11:48:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261162, Retrieved Sun, 19 May 2024 11:48:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85

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 15:03:11] [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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261162&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261162&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261162&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0028 (360)403804374.961769
0.0056 (180)1133869778.11578
0.0083 (120)2552857785.27306
0.0111 (90)4486261632.70558
0.0139 (72)6713978196.37473
0.0167 (60)9245041673.04042
0.0194 (51.4286)12255200624.5798
0.0222 (45)15792455506.8224
0.025 (40)19700427585.3836
0.0278 (36)23855917980.0584
0.0306 (32.7273)27775800633.3013
0.0333 (30)30691193068.4813
0.0361 (27.6923)31996787246.7353
0.0389 (25.7143)31896558136.2481
0.0417 (24)31323494337.8668
0.0444 (22.5)31697098405.1864
0.0472 (21.1765)34173092779.3133
0.05 (20)38699107859.4715
0.0528 (18.9474)43781531594.0338
0.0556 (18)47256297794.2674
0.0583 (17.1429)47534030099.6716
0.0611 (16.3636)44407043539.8007
0.0639 (15.6522)39318628729.7739
0.0667 (15)34383201376.7814
0.0694 (14.4)31144540106.6653
0.0722 (13.8462)29781167544.6397
0.075 (13.3333)29189585863.4827
0.0778 (12.8571)27862766135.6732
0.0806 (12.4138)24876008047.7808
0.0833 (12)20491471525.3694
0.0861 (11.6129)15883131701.4917
0.0889 (11.25)12391940283.0789
0.0917 (10.9091)10726914833.3469
0.0944 (10.5882)10561539353.5377
0.0972 (10.2857)10828337768.2935
0.1 (10)10403777991.5148
0.1028 (9.7297)8778893547.85652
0.1056 (9.4737)6385895131.15045
0.1083 (9.2308)4249989093.51505
0.1111 (9)3264392366.51589
0.1139 (8.7805)3622358007.70248
0.1167 (8.5714)4719027395.96079
0.1194 (8.3721)5604915476.346
0.1222 (8.1818)5637808160.95436
0.125 (8)4881368290.33431
0.1278 (7.8261)3946614280.69883
0.1306 (7.6596)3510027810.07999
0.1333 (7.5)3818574124.40125
0.1361 (7.3469)4637018696.91767
0.1389 (7.2)5432427051.61136
0.1417 (7.0588)5845725386.27015
0.1444 (6.9231)5875036236.22638
0.1472 (6.7925)5801731746.37895
0.15 (6.6667)5987269779.2299
0.1528 (6.5455)6565889411.44017
0.1556 (6.4286)7367515177.0048
0.1583 (6.3158)8001636265.09913
0.1611 (6.2069)8089624494.01954
0.1639 (6.1017)7545398002.27625
0.1667 (6)6733101339.56553
0.1694 (5.9016)6429268913.78926
0.1722 (5.8065)7458889297.20802
0.175 (5.7143)10209968991.8239
0.1778 (5.625)14185207095.0739
0.1806 (5.5385)18044082184.5046
0.1833 (5.4545)20202287232.0444
0.1861 (5.3731)19840142947.7189
0.1889 (5.2941)17562056229.6598
0.1917 (5.2174)15186819206.6893
0.1944 (5.1429)14581343659.1163
0.1972 (5.0704)16215828020.4433
0.2 (5)18798189854.1888
0.2028 (4.9315)20182457130.9762
0.2056 (4.8649)19367120161.6717
0.2083 (4.8)17569610576.3612
0.2111 (4.7368)17594216016.4791
0.2139 (4.6753)21574502580.2528
0.2167 (4.6154)28978308970.7756
0.2194 (4.557)36323768877.6268
0.2222 (4.5)39528397613.9288
0.225 (4.4444)36615793313.2709
0.2278 (4.3902)29292375252.8264
0.2306 (4.3373)21700286753.4047
0.2333 (4.2857)17776652279.8749
0.2361 (4.2353)18860356381.6771
0.2389 (4.186)23318647926.0534
0.2417 (4.1379)27993383834.6636
0.2444 (4.0909)30121123641.2328
0.2472 (4.0449)28701637585.6055
0.25 (4)24593928379.0923
0.2528 (3.956)19951171316.1571
0.2556 (3.913)17214801286.0831
0.2583 (3.871)17929400007.3554
0.2611 (3.8298)21790243180.7108
0.2639 (3.7895)26512391108.4037
0.2667 (3.75)29130657484.0412
0.2694 (3.7113)28175843962.9678
0.2722 (3.6735)25256554738.0293
0.275 (3.6364)24360807361.1691
0.2778 (3.6)29127232743.9741
0.2806 (3.5644)39870507447.8281
0.2833 (3.5294)52645062228.7486
0.2861 (3.4951)61467893295.965
0.2889 (3.4615)62081730105.6172
0.2917 (3.4286)54634994544.3573
0.2944 (3.3962)43016774807.5491
0.2972 (3.3645)32156070384.5474
0.3 (3.3333)25039756146.9199
0.3028 (3.3028)21736591635.9686
0.3056 (3.2727)20586766259.1874
0.3083 (3.2432)20068791467.3402
0.3111 (3.2143)19867524228.768
0.3139 (3.1858)20575777795.5753
0.3167 (3.1579)22692330137.5525
0.3194 (3.1304)25998581505.6896
0.3222 (3.1034)29561716393.3211
0.325 (3.0769)32137685126.4752
0.3278 (3.0508)32483541723.8903
0.3306 (3.0252)29742863282.5888
0.3333 (3)23796239050.982
0.3361 (2.9752)15792741688.8349
0.3389 (2.9508)8301349530.35125
0.3417 (2.9268)4658905179.48971
0.3444 (2.9032)7461408783.23707
0.3472 (2.88)16855694337.1197
0.35 (2.8571)29775044775.2973
0.3528 (2.8346)40921756573.4078
0.3556 (2.8125)45384646993.476
0.3583 (2.7907)41450491839.1339
0.3611 (2.7692)31904968022.6339
0.3639 (2.7481)22641400849.6375
0.3667 (2.7273)18956613490.367
0.3694 (2.7068)22233313771.6523
0.3722 (2.6866)28884227326.9476
0.375 (2.6667)32815198756.467
0.3778 (2.6471)29648260760.9879
0.3806 (2.6277)19927360216.5969
0.3833 (2.6087)8629593881.14363
0.3861 (2.5899)1842618291.24731
0.3889 (2.5714)2636985678.00399
0.3917 (2.5532)9287906663.94066
0.3944 (2.5352)16892587165.1998
0.3972 (2.5175)20965598339.4214
0.4 (2.5)20179856732.3453
0.4028 (2.4828)16666864188.3659
0.4056 (2.4658)13752085844.2903
0.4083 (2.449)13199717301.3587
0.4111 (2.4324)13991011867.7449
0.4139 (2.4161)13524839040.2137
0.4167 (2.4)10231132093.2633
0.4194 (2.3841)5523604841.75058
0.4222 (2.3684)3295125500.15993
0.425 (2.3529)6947085215.72714
0.4278 (2.3377)16123424831.61
0.4306 (2.3226)25878662905.2833
0.4333 (2.3077)29654440555.4224
0.4361 (2.293)24131499968.0789
0.4389 (2.2785)12451639373.2843
0.4417 (2.2642)2498671197.63632
0.4444 (2.25)1197052525.91247
0.4472 (2.236)9086330465.29907
0.45 (2.2222)19648969284.1471
0.4528 (2.2086)24511553300.6785
0.4556 (2.1951)20279918647.8074
0.4583 (2.1818)11552450063.9266
0.4611 (2.1687)7345246139.65315
0.4639 (2.1557)13716693070.356
0.4667 (2.1429)28685811612.5819
0.4694 (2.1302)43455201567.6365
0.4722 (2.1176)48758287816.5748
0.475 (2.1053)41508341503.0181
0.4778 (2.093)26141537054.079
0.4806 (2.0809)10996272018.9441
0.4833 (2.069)2430090160.59991
0.4861 (2.0571)1216815284.46797
0.4889 (2.0455)3617879892.10732
0.4917 (2.0339)5147324193.47355
0.4944 (2.0225)3928226790.39548
0.4972 (2.0112)1333842866.78767
0.5 (2)41257336.779682

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0028 (360) & 403804374.961769 \tabularnewline
0.0056 (180) & 1133869778.11578 \tabularnewline
0.0083 (120) & 2552857785.27306 \tabularnewline
0.0111 (90) & 4486261632.70558 \tabularnewline
0.0139 (72) & 6713978196.37473 \tabularnewline
0.0167 (60) & 9245041673.04042 \tabularnewline
0.0194 (51.4286) & 12255200624.5798 \tabularnewline
0.0222 (45) & 15792455506.8224 \tabularnewline
0.025 (40) & 19700427585.3836 \tabularnewline
0.0278 (36) & 23855917980.0584 \tabularnewline
0.0306 (32.7273) & 27775800633.3013 \tabularnewline
0.0333 (30) & 30691193068.4813 \tabularnewline
0.0361 (27.6923) & 31996787246.7353 \tabularnewline
0.0389 (25.7143) & 31896558136.2481 \tabularnewline
0.0417 (24) & 31323494337.8668 \tabularnewline
0.0444 (22.5) & 31697098405.1864 \tabularnewline
0.0472 (21.1765) & 34173092779.3133 \tabularnewline
0.05 (20) & 38699107859.4715 \tabularnewline
0.0528 (18.9474) & 43781531594.0338 \tabularnewline
0.0556 (18) & 47256297794.2674 \tabularnewline
0.0583 (17.1429) & 47534030099.6716 \tabularnewline
0.0611 (16.3636) & 44407043539.8007 \tabularnewline
0.0639 (15.6522) & 39318628729.7739 \tabularnewline
0.0667 (15) & 34383201376.7814 \tabularnewline
0.0694 (14.4) & 31144540106.6653 \tabularnewline
0.0722 (13.8462) & 29781167544.6397 \tabularnewline
0.075 (13.3333) & 29189585863.4827 \tabularnewline
0.0778 (12.8571) & 27862766135.6732 \tabularnewline
0.0806 (12.4138) & 24876008047.7808 \tabularnewline
0.0833 (12) & 20491471525.3694 \tabularnewline
0.0861 (11.6129) & 15883131701.4917 \tabularnewline
0.0889 (11.25) & 12391940283.0789 \tabularnewline
0.0917 (10.9091) & 10726914833.3469 \tabularnewline
0.0944 (10.5882) & 10561539353.5377 \tabularnewline
0.0972 (10.2857) & 10828337768.2935 \tabularnewline
0.1 (10) & 10403777991.5148 \tabularnewline
0.1028 (9.7297) & 8778893547.85652 \tabularnewline
0.1056 (9.4737) & 6385895131.15045 \tabularnewline
0.1083 (9.2308) & 4249989093.51505 \tabularnewline
0.1111 (9) & 3264392366.51589 \tabularnewline
0.1139 (8.7805) & 3622358007.70248 \tabularnewline
0.1167 (8.5714) & 4719027395.96079 \tabularnewline
0.1194 (8.3721) & 5604915476.346 \tabularnewline
0.1222 (8.1818) & 5637808160.95436 \tabularnewline
0.125 (8) & 4881368290.33431 \tabularnewline
0.1278 (7.8261) & 3946614280.69883 \tabularnewline
0.1306 (7.6596) & 3510027810.07999 \tabularnewline
0.1333 (7.5) & 3818574124.40125 \tabularnewline
0.1361 (7.3469) & 4637018696.91767 \tabularnewline
0.1389 (7.2) & 5432427051.61136 \tabularnewline
0.1417 (7.0588) & 5845725386.27015 \tabularnewline
0.1444 (6.9231) & 5875036236.22638 \tabularnewline
0.1472 (6.7925) & 5801731746.37895 \tabularnewline
0.15 (6.6667) & 5987269779.2299 \tabularnewline
0.1528 (6.5455) & 6565889411.44017 \tabularnewline
0.1556 (6.4286) & 7367515177.0048 \tabularnewline
0.1583 (6.3158) & 8001636265.09913 \tabularnewline
0.1611 (6.2069) & 8089624494.01954 \tabularnewline
0.1639 (6.1017) & 7545398002.27625 \tabularnewline
0.1667 (6) & 6733101339.56553 \tabularnewline
0.1694 (5.9016) & 6429268913.78926 \tabularnewline
0.1722 (5.8065) & 7458889297.20802 \tabularnewline
0.175 (5.7143) & 10209968991.8239 \tabularnewline
0.1778 (5.625) & 14185207095.0739 \tabularnewline
0.1806 (5.5385) & 18044082184.5046 \tabularnewline
0.1833 (5.4545) & 20202287232.0444 \tabularnewline
0.1861 (5.3731) & 19840142947.7189 \tabularnewline
0.1889 (5.2941) & 17562056229.6598 \tabularnewline
0.1917 (5.2174) & 15186819206.6893 \tabularnewline
0.1944 (5.1429) & 14581343659.1163 \tabularnewline
0.1972 (5.0704) & 16215828020.4433 \tabularnewline
0.2 (5) & 18798189854.1888 \tabularnewline
0.2028 (4.9315) & 20182457130.9762 \tabularnewline
0.2056 (4.8649) & 19367120161.6717 \tabularnewline
0.2083 (4.8) & 17569610576.3612 \tabularnewline
0.2111 (4.7368) & 17594216016.4791 \tabularnewline
0.2139 (4.6753) & 21574502580.2528 \tabularnewline
0.2167 (4.6154) & 28978308970.7756 \tabularnewline
0.2194 (4.557) & 36323768877.6268 \tabularnewline
0.2222 (4.5) & 39528397613.9288 \tabularnewline
0.225 (4.4444) & 36615793313.2709 \tabularnewline
0.2278 (4.3902) & 29292375252.8264 \tabularnewline
0.2306 (4.3373) & 21700286753.4047 \tabularnewline
0.2333 (4.2857) & 17776652279.8749 \tabularnewline
0.2361 (4.2353) & 18860356381.6771 \tabularnewline
0.2389 (4.186) & 23318647926.0534 \tabularnewline
0.2417 (4.1379) & 27993383834.6636 \tabularnewline
0.2444 (4.0909) & 30121123641.2328 \tabularnewline
0.2472 (4.0449) & 28701637585.6055 \tabularnewline
0.25 (4) & 24593928379.0923 \tabularnewline
0.2528 (3.956) & 19951171316.1571 \tabularnewline
0.2556 (3.913) & 17214801286.0831 \tabularnewline
0.2583 (3.871) & 17929400007.3554 \tabularnewline
0.2611 (3.8298) & 21790243180.7108 \tabularnewline
0.2639 (3.7895) & 26512391108.4037 \tabularnewline
0.2667 (3.75) & 29130657484.0412 \tabularnewline
0.2694 (3.7113) & 28175843962.9678 \tabularnewline
0.2722 (3.6735) & 25256554738.0293 \tabularnewline
0.275 (3.6364) & 24360807361.1691 \tabularnewline
0.2778 (3.6) & 29127232743.9741 \tabularnewline
0.2806 (3.5644) & 39870507447.8281 \tabularnewline
0.2833 (3.5294) & 52645062228.7486 \tabularnewline
0.2861 (3.4951) & 61467893295.965 \tabularnewline
0.2889 (3.4615) & 62081730105.6172 \tabularnewline
0.2917 (3.4286) & 54634994544.3573 \tabularnewline
0.2944 (3.3962) & 43016774807.5491 \tabularnewline
0.2972 (3.3645) & 32156070384.5474 \tabularnewline
0.3 (3.3333) & 25039756146.9199 \tabularnewline
0.3028 (3.3028) & 21736591635.9686 \tabularnewline
0.3056 (3.2727) & 20586766259.1874 \tabularnewline
0.3083 (3.2432) & 20068791467.3402 \tabularnewline
0.3111 (3.2143) & 19867524228.768 \tabularnewline
0.3139 (3.1858) & 20575777795.5753 \tabularnewline
0.3167 (3.1579) & 22692330137.5525 \tabularnewline
0.3194 (3.1304) & 25998581505.6896 \tabularnewline
0.3222 (3.1034) & 29561716393.3211 \tabularnewline
0.325 (3.0769) & 32137685126.4752 \tabularnewline
0.3278 (3.0508) & 32483541723.8903 \tabularnewline
0.3306 (3.0252) & 29742863282.5888 \tabularnewline
0.3333 (3) & 23796239050.982 \tabularnewline
0.3361 (2.9752) & 15792741688.8349 \tabularnewline
0.3389 (2.9508) & 8301349530.35125 \tabularnewline
0.3417 (2.9268) & 4658905179.48971 \tabularnewline
0.3444 (2.9032) & 7461408783.23707 \tabularnewline
0.3472 (2.88) & 16855694337.1197 \tabularnewline
0.35 (2.8571) & 29775044775.2973 \tabularnewline
0.3528 (2.8346) & 40921756573.4078 \tabularnewline
0.3556 (2.8125) & 45384646993.476 \tabularnewline
0.3583 (2.7907) & 41450491839.1339 \tabularnewline
0.3611 (2.7692) & 31904968022.6339 \tabularnewline
0.3639 (2.7481) & 22641400849.6375 \tabularnewline
0.3667 (2.7273) & 18956613490.367 \tabularnewline
0.3694 (2.7068) & 22233313771.6523 \tabularnewline
0.3722 (2.6866) & 28884227326.9476 \tabularnewline
0.375 (2.6667) & 32815198756.467 \tabularnewline
0.3778 (2.6471) & 29648260760.9879 \tabularnewline
0.3806 (2.6277) & 19927360216.5969 \tabularnewline
0.3833 (2.6087) & 8629593881.14363 \tabularnewline
0.3861 (2.5899) & 1842618291.24731 \tabularnewline
0.3889 (2.5714) & 2636985678.00399 \tabularnewline
0.3917 (2.5532) & 9287906663.94066 \tabularnewline
0.3944 (2.5352) & 16892587165.1998 \tabularnewline
0.3972 (2.5175) & 20965598339.4214 \tabularnewline
0.4 (2.5) & 20179856732.3453 \tabularnewline
0.4028 (2.4828) & 16666864188.3659 \tabularnewline
0.4056 (2.4658) & 13752085844.2903 \tabularnewline
0.4083 (2.449) & 13199717301.3587 \tabularnewline
0.4111 (2.4324) & 13991011867.7449 \tabularnewline
0.4139 (2.4161) & 13524839040.2137 \tabularnewline
0.4167 (2.4) & 10231132093.2633 \tabularnewline
0.4194 (2.3841) & 5523604841.75058 \tabularnewline
0.4222 (2.3684) & 3295125500.15993 \tabularnewline
0.425 (2.3529) & 6947085215.72714 \tabularnewline
0.4278 (2.3377) & 16123424831.61 \tabularnewline
0.4306 (2.3226) & 25878662905.2833 \tabularnewline
0.4333 (2.3077) & 29654440555.4224 \tabularnewline
0.4361 (2.293) & 24131499968.0789 \tabularnewline
0.4389 (2.2785) & 12451639373.2843 \tabularnewline
0.4417 (2.2642) & 2498671197.63632 \tabularnewline
0.4444 (2.25) & 1197052525.91247 \tabularnewline
0.4472 (2.236) & 9086330465.29907 \tabularnewline
0.45 (2.2222) & 19648969284.1471 \tabularnewline
0.4528 (2.2086) & 24511553300.6785 \tabularnewline
0.4556 (2.1951) & 20279918647.8074 \tabularnewline
0.4583 (2.1818) & 11552450063.9266 \tabularnewline
0.4611 (2.1687) & 7345246139.65315 \tabularnewline
0.4639 (2.1557) & 13716693070.356 \tabularnewline
0.4667 (2.1429) & 28685811612.5819 \tabularnewline
0.4694 (2.1302) & 43455201567.6365 \tabularnewline
0.4722 (2.1176) & 48758287816.5748 \tabularnewline
0.475 (2.1053) & 41508341503.0181 \tabularnewline
0.4778 (2.093) & 26141537054.079 \tabularnewline
0.4806 (2.0809) & 10996272018.9441 \tabularnewline
0.4833 (2.069) & 2430090160.59991 \tabularnewline
0.4861 (2.0571) & 1216815284.46797 \tabularnewline
0.4889 (2.0455) & 3617879892.10732 \tabularnewline
0.4917 (2.0339) & 5147324193.47355 \tabularnewline
0.4944 (2.0225) & 3928226790.39548 \tabularnewline
0.4972 (2.0112) & 1333842866.78767 \tabularnewline
0.5 (2) & 41257336.779682 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261162&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0028 (360)[/C][C]403804374.961769[/C][/ROW]
[ROW][C]0.0056 (180)[/C][C]1133869778.11578[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]2552857785.27306[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]4486261632.70558[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]6713978196.37473[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]9245041673.04042[/C][/ROW]
[ROW][C]0.0194 (51.4286)[/C][C]12255200624.5798[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]15792455506.8224[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]19700427585.3836[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]23855917980.0584[/C][/ROW]
[ROW][C]0.0306 (32.7273)[/C][C]27775800633.3013[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]30691193068.4813[/C][/ROW]
[ROW][C]0.0361 (27.6923)[/C][C]31996787246.7353[/C][/ROW]
[ROW][C]0.0389 (25.7143)[/C][C]31896558136.2481[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]31323494337.8668[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]31697098405.1864[/C][/ROW]
[ROW][C]0.0472 (21.1765)[/C][C]34173092779.3133[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]38699107859.4715[/C][/ROW]
[ROW][C]0.0528 (18.9474)[/C][C]43781531594.0338[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]47256297794.2674[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]47534030099.6716[/C][/ROW]
[ROW][C]0.0611 (16.3636)[/C][C]44407043539.8007[/C][/ROW]
[ROW][C]0.0639 (15.6522)[/C][C]39318628729.7739[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]34383201376.7814[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]31144540106.6653[/C][/ROW]
[ROW][C]0.0722 (13.8462)[/C][C]29781167544.6397[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]29189585863.4827[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]27862766135.6732[/C][/ROW]
[ROW][C]0.0806 (12.4138)[/C][C]24876008047.7808[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]20491471525.3694[/C][/ROW]
[ROW][C]0.0861 (11.6129)[/C][C]15883131701.4917[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]12391940283.0789[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]10726914833.3469[/C][/ROW]
[ROW][C]0.0944 (10.5882)[/C][C]10561539353.5377[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]10828337768.2935[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]10403777991.5148[/C][/ROW]
[ROW][C]0.1028 (9.7297)[/C][C]8778893547.85652[/C][/ROW]
[ROW][C]0.1056 (9.4737)[/C][C]6385895131.15045[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]4249989093.51505[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]3264392366.51589[/C][/ROW]
[ROW][C]0.1139 (8.7805)[/C][C]3622358007.70248[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]4719027395.96079[/C][/ROW]
[ROW][C]0.1194 (8.3721)[/C][C]5604915476.346[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]5637808160.95436[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]4881368290.33431[/C][/ROW]
[ROW][C]0.1278 (7.8261)[/C][C]3946614280.69883[/C][/ROW]
[ROW][C]0.1306 (7.6596)[/C][C]3510027810.07999[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]3818574124.40125[/C][/ROW]
[ROW][C]0.1361 (7.3469)[/C][C]4637018696.91767[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]5432427051.61136[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]5845725386.27015[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]5875036236.22638[/C][/ROW]
[ROW][C]0.1472 (6.7925)[/C][C]5801731746.37895[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]5987269779.2299[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]6565889411.44017[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]7367515177.0048[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]8001636265.09913[/C][/ROW]
[ROW][C]0.1611 (6.2069)[/C][C]8089624494.01954[/C][/ROW]
[ROW][C]0.1639 (6.1017)[/C][C]7545398002.27625[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]6733101339.56553[/C][/ROW]
[ROW][C]0.1694 (5.9016)[/C][C]6429268913.78926[/C][/ROW]
[ROW][C]0.1722 (5.8065)[/C][C]7458889297.20802[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]10209968991.8239[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]14185207095.0739[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]18044082184.5046[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]20202287232.0444[/C][/ROW]
[ROW][C]0.1861 (5.3731)[/C][C]19840142947.7189[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]17562056229.6598[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]15186819206.6893[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]14581343659.1163[/C][/ROW]
[ROW][C]0.1972 (5.0704)[/C][C]16215828020.4433[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]18798189854.1888[/C][/ROW]
[ROW][C]0.2028 (4.9315)[/C][C]20182457130.9762[/C][/ROW]
[ROW][C]0.2056 (4.8649)[/C][C]19367120161.6717[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]17569610576.3612[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]17594216016.4791[/C][/ROW]
[ROW][C]0.2139 (4.6753)[/C][C]21574502580.2528[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]28978308970.7756[/C][/ROW]
[ROW][C]0.2194 (4.557)[/C][C]36323768877.6268[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]39528397613.9288[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]36615793313.2709[/C][/ROW]
[ROW][C]0.2278 (4.3902)[/C][C]29292375252.8264[/C][/ROW]
[ROW][C]0.2306 (4.3373)[/C][C]21700286753.4047[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]17776652279.8749[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]18860356381.6771[/C][/ROW]
[ROW][C]0.2389 (4.186)[/C][C]23318647926.0534[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]27993383834.6636[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]30121123641.2328[/C][/ROW]
[ROW][C]0.2472 (4.0449)[/C][C]28701637585.6055[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]24593928379.0923[/C][/ROW]
[ROW][C]0.2528 (3.956)[/C][C]19951171316.1571[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]17214801286.0831[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]17929400007.3554[/C][/ROW]
[ROW][C]0.2611 (3.8298)[/C][C]21790243180.7108[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]26512391108.4037[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]29130657484.0412[/C][/ROW]
[ROW][C]0.2694 (3.7113)[/C][C]28175843962.9678[/C][/ROW]
[ROW][C]0.2722 (3.6735)[/C][C]25256554738.0293[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]24360807361.1691[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]29127232743.9741[/C][/ROW]
[ROW][C]0.2806 (3.5644)[/C][C]39870507447.8281[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]52645062228.7486[/C][/ROW]
[ROW][C]0.2861 (3.4951)[/C][C]61467893295.965[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]62081730105.6172[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]54634994544.3573[/C][/ROW]
[ROW][C]0.2944 (3.3962)[/C][C]43016774807.5491[/C][/ROW]
[ROW][C]0.2972 (3.3645)[/C][C]32156070384.5474[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]25039756146.9199[/C][/ROW]
[ROW][C]0.3028 (3.3028)[/C][C]21736591635.9686[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]20586766259.1874[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]20068791467.3402[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]19867524228.768[/C][/ROW]
[ROW][C]0.3139 (3.1858)[/C][C]20575777795.5753[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]22692330137.5525[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]25998581505.6896[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]29561716393.3211[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]32137685126.4752[/C][/ROW]
[ROW][C]0.3278 (3.0508)[/C][C]32483541723.8903[/C][/ROW]
[ROW][C]0.3306 (3.0252)[/C][C]29742863282.5888[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]23796239050.982[/C][/ROW]
[ROW][C]0.3361 (2.9752)[/C][C]15792741688.8349[/C][/ROW]
[ROW][C]0.3389 (2.9508)[/C][C]8301349530.35125[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]4658905179.48971[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]7461408783.23707[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]16855694337.1197[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]29775044775.2973[/C][/ROW]
[ROW][C]0.3528 (2.8346)[/C][C]40921756573.4078[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]45384646993.476[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]41450491839.1339[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]31904968022.6339[/C][/ROW]
[ROW][C]0.3639 (2.7481)[/C][C]22641400849.6375[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]18956613490.367[/C][/ROW]
[ROW][C]0.3694 (2.7068)[/C][C]22233313771.6523[/C][/ROW]
[ROW][C]0.3722 (2.6866)[/C][C]28884227326.9476[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]32815198756.467[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]29648260760.9879[/C][/ROW]
[ROW][C]0.3806 (2.6277)[/C][C]19927360216.5969[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]8629593881.14363[/C][/ROW]
[ROW][C]0.3861 (2.5899)[/C][C]1842618291.24731[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]2636985678.00399[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]9287906663.94066[/C][/ROW]
[ROW][C]0.3944 (2.5352)[/C][C]16892587165.1998[/C][/ROW]
[ROW][C]0.3972 (2.5175)[/C][C]20965598339.4214[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]20179856732.3453[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]16666864188.3659[/C][/ROW]
[ROW][C]0.4056 (2.4658)[/C][C]13752085844.2903[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]13199717301.3587[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]13991011867.7449[/C][/ROW]
[ROW][C]0.4139 (2.4161)[/C][C]13524839040.2137[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]10231132093.2633[/C][/ROW]
[ROW][C]0.4194 (2.3841)[/C][C]5523604841.75058[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]3295125500.15993[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]6947085215.72714[/C][/ROW]
[ROW][C]0.4278 (2.3377)[/C][C]16123424831.61[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]25878662905.2833[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]29654440555.4224[/C][/ROW]
[ROW][C]0.4361 (2.293)[/C][C]24131499968.0789[/C][/ROW]
[ROW][C]0.4389 (2.2785)[/C][C]12451639373.2843[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]2498671197.63632[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]1197052525.91247[/C][/ROW]
[ROW][C]0.4472 (2.236)[/C][C]9086330465.29907[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]19648969284.1471[/C][/ROW]
[ROW][C]0.4528 (2.2086)[/C][C]24511553300.6785[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]20279918647.8074[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]11552450063.9266[/C][/ROW]
[ROW][C]0.4611 (2.1687)[/C][C]7345246139.65315[/C][/ROW]
[ROW][C]0.4639 (2.1557)[/C][C]13716693070.356[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]28685811612.5819[/C][/ROW]
[ROW][C]0.4694 (2.1302)[/C][C]43455201567.6365[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]48758287816.5748[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]41508341503.0181[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]26141537054.079[/C][/ROW]
[ROW][C]0.4806 (2.0809)[/C][C]10996272018.9441[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]2430090160.59991[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]1216815284.46797[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]3617879892.10732[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]5147324193.47355[/C][/ROW]
[ROW][C]0.4944 (2.0225)[/C][C]3928226790.39548[/C][/ROW]
[ROW][C]0.4972 (2.0112)[/C][C]1333842866.78767[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]41257336.779682[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261162&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261162&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0028 (360)403804374.961769
0.0056 (180)1133869778.11578
0.0083 (120)2552857785.27306
0.0111 (90)4486261632.70558
0.0139 (72)6713978196.37473
0.0167 (60)9245041673.04042
0.0194 (51.4286)12255200624.5798
0.0222 (45)15792455506.8224
0.025 (40)19700427585.3836
0.0278 (36)23855917980.0584
0.0306 (32.7273)27775800633.3013
0.0333 (30)30691193068.4813
0.0361 (27.6923)31996787246.7353
0.0389 (25.7143)31896558136.2481
0.0417 (24)31323494337.8668
0.0444 (22.5)31697098405.1864
0.0472 (21.1765)34173092779.3133
0.05 (20)38699107859.4715
0.0528 (18.9474)43781531594.0338
0.0556 (18)47256297794.2674
0.0583 (17.1429)47534030099.6716
0.0611 (16.3636)44407043539.8007
0.0639 (15.6522)39318628729.7739
0.0667 (15)34383201376.7814
0.0694 (14.4)31144540106.6653
0.0722 (13.8462)29781167544.6397
0.075 (13.3333)29189585863.4827
0.0778 (12.8571)27862766135.6732
0.0806 (12.4138)24876008047.7808
0.0833 (12)20491471525.3694
0.0861 (11.6129)15883131701.4917
0.0889 (11.25)12391940283.0789
0.0917 (10.9091)10726914833.3469
0.0944 (10.5882)10561539353.5377
0.0972 (10.2857)10828337768.2935
0.1 (10)10403777991.5148
0.1028 (9.7297)8778893547.85652
0.1056 (9.4737)6385895131.15045
0.1083 (9.2308)4249989093.51505
0.1111 (9)3264392366.51589
0.1139 (8.7805)3622358007.70248
0.1167 (8.5714)4719027395.96079
0.1194 (8.3721)5604915476.346
0.1222 (8.1818)5637808160.95436
0.125 (8)4881368290.33431
0.1278 (7.8261)3946614280.69883
0.1306 (7.6596)3510027810.07999
0.1333 (7.5)3818574124.40125
0.1361 (7.3469)4637018696.91767
0.1389 (7.2)5432427051.61136
0.1417 (7.0588)5845725386.27015
0.1444 (6.9231)5875036236.22638
0.1472 (6.7925)5801731746.37895
0.15 (6.6667)5987269779.2299
0.1528 (6.5455)6565889411.44017
0.1556 (6.4286)7367515177.0048
0.1583 (6.3158)8001636265.09913
0.1611 (6.2069)8089624494.01954
0.1639 (6.1017)7545398002.27625
0.1667 (6)6733101339.56553
0.1694 (5.9016)6429268913.78926
0.1722 (5.8065)7458889297.20802
0.175 (5.7143)10209968991.8239
0.1778 (5.625)14185207095.0739
0.1806 (5.5385)18044082184.5046
0.1833 (5.4545)20202287232.0444
0.1861 (5.3731)19840142947.7189
0.1889 (5.2941)17562056229.6598
0.1917 (5.2174)15186819206.6893
0.1944 (5.1429)14581343659.1163
0.1972 (5.0704)16215828020.4433
0.2 (5)18798189854.1888
0.2028 (4.9315)20182457130.9762
0.2056 (4.8649)19367120161.6717
0.2083 (4.8)17569610576.3612
0.2111 (4.7368)17594216016.4791
0.2139 (4.6753)21574502580.2528
0.2167 (4.6154)28978308970.7756
0.2194 (4.557)36323768877.6268
0.2222 (4.5)39528397613.9288
0.225 (4.4444)36615793313.2709
0.2278 (4.3902)29292375252.8264
0.2306 (4.3373)21700286753.4047
0.2333 (4.2857)17776652279.8749
0.2361 (4.2353)18860356381.6771
0.2389 (4.186)23318647926.0534
0.2417 (4.1379)27993383834.6636
0.2444 (4.0909)30121123641.2328
0.2472 (4.0449)28701637585.6055
0.25 (4)24593928379.0923
0.2528 (3.956)19951171316.1571
0.2556 (3.913)17214801286.0831
0.2583 (3.871)17929400007.3554
0.2611 (3.8298)21790243180.7108
0.2639 (3.7895)26512391108.4037
0.2667 (3.75)29130657484.0412
0.2694 (3.7113)28175843962.9678
0.2722 (3.6735)25256554738.0293
0.275 (3.6364)24360807361.1691
0.2778 (3.6)29127232743.9741
0.2806 (3.5644)39870507447.8281
0.2833 (3.5294)52645062228.7486
0.2861 (3.4951)61467893295.965
0.2889 (3.4615)62081730105.6172
0.2917 (3.4286)54634994544.3573
0.2944 (3.3962)43016774807.5491
0.2972 (3.3645)32156070384.5474
0.3 (3.3333)25039756146.9199
0.3028 (3.3028)21736591635.9686
0.3056 (3.2727)20586766259.1874
0.3083 (3.2432)20068791467.3402
0.3111 (3.2143)19867524228.768
0.3139 (3.1858)20575777795.5753
0.3167 (3.1579)22692330137.5525
0.3194 (3.1304)25998581505.6896
0.3222 (3.1034)29561716393.3211
0.325 (3.0769)32137685126.4752
0.3278 (3.0508)32483541723.8903
0.3306 (3.0252)29742863282.5888
0.3333 (3)23796239050.982
0.3361 (2.9752)15792741688.8349
0.3389 (2.9508)8301349530.35125
0.3417 (2.9268)4658905179.48971
0.3444 (2.9032)7461408783.23707
0.3472 (2.88)16855694337.1197
0.35 (2.8571)29775044775.2973
0.3528 (2.8346)40921756573.4078
0.3556 (2.8125)45384646993.476
0.3583 (2.7907)41450491839.1339
0.3611 (2.7692)31904968022.6339
0.3639 (2.7481)22641400849.6375
0.3667 (2.7273)18956613490.367
0.3694 (2.7068)22233313771.6523
0.3722 (2.6866)28884227326.9476
0.375 (2.6667)32815198756.467
0.3778 (2.6471)29648260760.9879
0.3806 (2.6277)19927360216.5969
0.3833 (2.6087)8629593881.14363
0.3861 (2.5899)1842618291.24731
0.3889 (2.5714)2636985678.00399
0.3917 (2.5532)9287906663.94066
0.3944 (2.5352)16892587165.1998
0.3972 (2.5175)20965598339.4214
0.4 (2.5)20179856732.3453
0.4028 (2.4828)16666864188.3659
0.4056 (2.4658)13752085844.2903
0.4083 (2.449)13199717301.3587
0.4111 (2.4324)13991011867.7449
0.4139 (2.4161)13524839040.2137
0.4167 (2.4)10231132093.2633
0.4194 (2.3841)5523604841.75058
0.4222 (2.3684)3295125500.15993
0.425 (2.3529)6947085215.72714
0.4278 (2.3377)16123424831.61
0.4306 (2.3226)25878662905.2833
0.4333 (2.3077)29654440555.4224
0.4361 (2.293)24131499968.0789
0.4389 (2.2785)12451639373.2843
0.4417 (2.2642)2498671197.63632
0.4444 (2.25)1197052525.91247
0.4472 (2.236)9086330465.29907
0.45 (2.2222)19648969284.1471
0.4528 (2.2086)24511553300.6785
0.4556 (2.1951)20279918647.8074
0.4583 (2.1818)11552450063.9266
0.4611 (2.1687)7345246139.65315
0.4639 (2.1557)13716693070.356
0.4667 (2.1429)28685811612.5819
0.4694 (2.1302)43455201567.6365
0.4722 (2.1176)48758287816.5748
0.475 (2.1053)41508341503.0181
0.4778 (2.093)26141537054.079
0.4806 (2.0809)10996272018.9441
0.4833 (2.069)2430090160.59991
0.4861 (2.0571)1216815284.46797
0.4889 (2.0455)3617879892.10732
0.4917 (2.0339)5147324193.47355
0.4944 (2.0225)3928226790.39548
0.4972 (2.0112)1333842866.78767
0.5 (2)41257336.779682


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- '0'
par2 <- '1'
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')