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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 15:19:08 +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/t1417274354st62rofbo07wlc7.htm/, Retrieved Sun, 19 May 2024 14:59:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261173, Retrieved Sun, 19 May 2024 14:59:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261173&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261173&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261173&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' @ jenkins.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)14801963260928.5
0.0053 (187.5)4201472336533.03
0.008 (125)4479014241912.19
0.0107 (93.75)3376611438334.47
0.0133 (75)1429519382490.82
0.016 (62.5)356628953376.779
0.0187 (53.5714)263990213895.157
0.0213 (46.875)369155694169.72
0.024 (41.6667)336757961280.7
0.0267 (37.5)286536865418.823
0.0293 (34.0909)270220588121.518
0.032 (31.25)229461504355.145
0.0347 (28.8462)171431062806.722
0.0373 (26.7857)136954701495.773
0.04 (25)120206167826.543
0.0427 (23.4375)103033049711.82
0.0453 (22.0588)90380174063.4805
0.048 (20.8333)90618359014.7312
0.0507 (19.7368)106346166851.197
0.0533 (18.75)137778802481.766
0.056 (17.8571)168599016837.455
0.0587 (17.0455)167820565804.963
0.0613 (16.3043)123170481384.16
0.064 (15.625)66110143110.2716
0.0667 (15)63647163646.6286
0.0693 (14.4231)188896079785.163
0.072 (13.8889)477215119326.382
0.0747 (13.3929)884978814420.242
0.0773 (12.931)1291807691367.48
0.08 (12.5)1555066201780.92
0.0827 (12.0968)1581246927281.67
0.0853 (11.7188)1367483928318.88
0.088 (11.3636)995885158791.91
0.0907 (11.0294)595430869392.518
0.0933 (10.7143)276617100187.92
0.096 (10.4167)86944115645.8188
0.0987 (10.1351)11017095335.3971
0.1013 (9.8684)831209928.91974
0.104 (9.6154)10308542753.5893
0.1067 (9.375)14624771427.3326
0.1093 (9.1463)10478619178.197
0.112 (8.9286)4311462669.55346
0.1147 (8.7209)1215900174.89174
0.1173 (8.5227)1404220208.26187
0.12 (8.3333)2517244214.62445
0.1227 (8.1522)2703748811.81161
0.1253 (7.9787)1884877183.43378
0.128 (7.8125)1087335692.86853
0.1307 (7.6531)1135907474.55911
0.1333 (7.5)2061990586.82934
0.136 (7.3529)3315524887.87397
0.1387 (7.2115)4046813957.90689
0.1413 (7.0755)3545521846.90507
0.144 (6.9444)1913520509.12677
0.1467 (6.8182)687277792.749716
0.1493 (6.6964)2821187700.00872
0.152 (6.5789)11755511056.8681
0.1547 (6.4655)29787715716.5778
0.1573 (6.3559)56321524781.9192
0.16 (6.25)86961718198.1306
0.1627 (6.1475)114478142683.797
0.1653 (6.0484)131124611268.601
0.168 (5.9524)132017455927.078
0.1707 (5.8594)116377768651.957
0.1733 (5.7692)89092859903.2506
0.176 (5.6818)58254356387.0252
0.1787 (5.597)31842566176.7791
0.1813 (5.5147)14474319729.3814
0.184 (5.4348)6314547544.107
0.1867 (5.3571)4321000423.88148
0.1893 (5.2817)4679924052.54616
0.192 (5.2083)4894836300.55959
0.1947 (5.137)4436743470.41224
0.1973 (5.0676)3878508618.3668
0.2 (5)3700628456.3678
0.2027 (4.9342)3748187183.2942
0.2053 (4.8701)3570066751.40397
0.208 (4.8077)2966963875.31582
0.2107 (4.7468)2313306350.66818
0.2133 (4.6875)2423260467.91974
0.216 (4.6296)4047109443.45966
0.2187 (4.5732)7237581316.45314
0.2213 (4.5181)10892999426.1401
0.224 (4.4643)12816747097.7439
0.2267 (4.4118)10866841196.996
0.2293 (4.3605)5242233743.13386
0.232 (4.3103)670272745.712942
0.2347 (4.2614)6271653669.22217
0.2373 (4.2135)31735595816.709
0.24 (4.1667)80879897108.5068
0.2427 (4.1209)146389722660.562
0.2453 (4.0761)210022468493.106
0.248 (4.0323)249742449230.281
0.2507 (3.9894)250508715836.781
0.2533 (3.9474)211858181764.675
0.256 (3.9063)148884668646.771
0.2587 (3.866)83552037132.7726
0.2613 (3.8265)34302391287.4571
0.264 (3.7879)8365923317.91547
0.2667 (3.75)1553202331.19774
0.2693 (3.7129)3971541617.31612
0.272 (3.6765)7019600563.55231
0.2747 (3.6408)7186819680.82853
0.2773 (3.6058)5460397105.16666
0.28 (3.5714)4238234935.02282
0.2827 (3.5377)4632952387.06709
0.2853 (3.5047)5912168759.47727
0.288 (3.4722)6633746344.03415
0.2907 (3.4404)5998087762.93194
0.2933 (3.4091)4363286500.62166
0.296 (3.3784)2811244626.48401
0.2987 (3.3482)2284774053.51878
0.3013 (3.3186)2923512062.06735
0.304 (3.2895)3948819778.25269
0.3067 (3.2609)4150582430.33007
0.3093 (3.2328)2867364902.99801
0.312 (3.2051)1018219299.34965
0.3147 (3.178)1487315327.73598
0.3173 (3.1513)8233498708.40618
0.32 (3.125)24186310262.9325
0.3227 (3.0992)48965374329.7289
0.3253 (3.0738)77880468425.0908
0.328 (3.0488)103047585749.438
0.3307 (3.0242)116588142423.941
0.3333 (3)113858751864.376
0.336 (2.9762)95890958838.9967
0.3387 (2.9528)68481776302.38
0.3413 (2.9297)39867244055.6431
0.344 (2.907)17301301311.7606
0.3467 (2.8846)4454895833.86338
0.3493 (2.8626)772219115.409149
0.352 (2.8409)2687046974.39917
0.3547 (2.8195)5886051788.02153
0.3573 (2.7985)7363884764.61921
0.36 (2.7778)6340639589.99456
0.3627 (2.7574)3883484279.3341
0.3653 (2.7372)1686320100.11722
0.368 (2.7174)865431285.352098
0.3707 (2.6978)1419669679.3722
0.3733 (2.6786)2491619610.94827
0.376 (2.6596)3077574414.17875
0.3787 (2.6408)2689130830.06651
0.3813 (2.6224)1596504631.03682
0.384 (2.6042)553366527.425735
0.3867 (2.5862)236764925.324302
0.3893 (2.5685)723175212.661849
0.392 (2.551)1408076913.82945
0.3947 (2.5338)1532878213.7251
0.3973 (2.5168)1083289185.95706
0.4 (2.5)1412711201.75615
0.4027 (2.4834)4919528511.69071
0.4053 (2.4671)13602381734.5055
0.408 (2.451)27252069889.8852
0.4107 (2.4351)42577668387.7737
0.4133 (2.4194)54244530436.5543
0.416 (2.4038)57446206761.69
0.4187 (2.3885)50813787209.1707
0.4213 (2.3734)36968658113.6635
0.424 (2.3585)21487899448.8943
0.4267 (2.3438)9558039398.91556
0.4293 (2.3292)3484397617.26947
0.432 (2.3148)2183361585.19146
0.4347 (2.3006)2748510283.29383
0.4373 (2.2866)2757456783.61034
0.44 (2.2727)1639622545.79267
0.4427 (2.259)358042071.801447
0.4453 (2.2455)44789994.33921
0.448 (2.2321)875962438.025007
0.4507 (2.2189)1994947572.10198
0.4533 (2.2059)2365064568.34087
0.456 (2.193)1681037473.42573
0.4587 (2.1802)593054414.944868
0.4613 (2.1676)135478573.354966
0.464 (2.1552)908918717.783355
0.4667 (2.1429)2636669674.42148
0.4693 (2.1307)4375209356.48434
0.472 (2.1186)5150738043.84685
0.4747 (2.1067)4568217406.93918
0.4773 (2.095)2975475523.16184
0.48 (2.0833)1228684538.85327
0.4827 (2.0718)206212252.805577
0.4853 (2.0604)366156578.875514
0.488 (2.0492)1621112356.05958
0.4907 (2.038)3480831847.50222
0.4933 (2.027)5351960072.28168
0.496 (2.0161)6774158569.29618
0.4987 (2.0053)7523462418.50207

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 14801963260928.5 \tabularnewline
0.0053 (187.5) & 4201472336533.03 \tabularnewline
0.008 (125) & 4479014241912.19 \tabularnewline
0.0107 (93.75) & 3376611438334.47 \tabularnewline
0.0133 (75) & 1429519382490.82 \tabularnewline
0.016 (62.5) & 356628953376.779 \tabularnewline
0.0187 (53.5714) & 263990213895.157 \tabularnewline
0.0213 (46.875) & 369155694169.72 \tabularnewline
0.024 (41.6667) & 336757961280.7 \tabularnewline
0.0267 (37.5) & 286536865418.823 \tabularnewline
0.0293 (34.0909) & 270220588121.518 \tabularnewline
0.032 (31.25) & 229461504355.145 \tabularnewline
0.0347 (28.8462) & 171431062806.722 \tabularnewline
0.0373 (26.7857) & 136954701495.773 \tabularnewline
0.04 (25) & 120206167826.543 \tabularnewline
0.0427 (23.4375) & 103033049711.82 \tabularnewline
0.0453 (22.0588) & 90380174063.4805 \tabularnewline
0.048 (20.8333) & 90618359014.7312 \tabularnewline
0.0507 (19.7368) & 106346166851.197 \tabularnewline
0.0533 (18.75) & 137778802481.766 \tabularnewline
0.056 (17.8571) & 168599016837.455 \tabularnewline
0.0587 (17.0455) & 167820565804.963 \tabularnewline
0.0613 (16.3043) & 123170481384.16 \tabularnewline
0.064 (15.625) & 66110143110.2716 \tabularnewline
0.0667 (15) & 63647163646.6286 \tabularnewline
0.0693 (14.4231) & 188896079785.163 \tabularnewline
0.072 (13.8889) & 477215119326.382 \tabularnewline
0.0747 (13.3929) & 884978814420.242 \tabularnewline
0.0773 (12.931) & 1291807691367.48 \tabularnewline
0.08 (12.5) & 1555066201780.92 \tabularnewline
0.0827 (12.0968) & 1581246927281.67 \tabularnewline
0.0853 (11.7188) & 1367483928318.88 \tabularnewline
0.088 (11.3636) & 995885158791.91 \tabularnewline
0.0907 (11.0294) & 595430869392.518 \tabularnewline
0.0933 (10.7143) & 276617100187.92 \tabularnewline
0.096 (10.4167) & 86944115645.8188 \tabularnewline
0.0987 (10.1351) & 11017095335.3971 \tabularnewline
0.1013 (9.8684) & 831209928.91974 \tabularnewline
0.104 (9.6154) & 10308542753.5893 \tabularnewline
0.1067 (9.375) & 14624771427.3326 \tabularnewline
0.1093 (9.1463) & 10478619178.197 \tabularnewline
0.112 (8.9286) & 4311462669.55346 \tabularnewline
0.1147 (8.7209) & 1215900174.89174 \tabularnewline
0.1173 (8.5227) & 1404220208.26187 \tabularnewline
0.12 (8.3333) & 2517244214.62445 \tabularnewline
0.1227 (8.1522) & 2703748811.81161 \tabularnewline
0.1253 (7.9787) & 1884877183.43378 \tabularnewline
0.128 (7.8125) & 1087335692.86853 \tabularnewline
0.1307 (7.6531) & 1135907474.55911 \tabularnewline
0.1333 (7.5) & 2061990586.82934 \tabularnewline
0.136 (7.3529) & 3315524887.87397 \tabularnewline
0.1387 (7.2115) & 4046813957.90689 \tabularnewline
0.1413 (7.0755) & 3545521846.90507 \tabularnewline
0.144 (6.9444) & 1913520509.12677 \tabularnewline
0.1467 (6.8182) & 687277792.749716 \tabularnewline
0.1493 (6.6964) & 2821187700.00872 \tabularnewline
0.152 (6.5789) & 11755511056.8681 \tabularnewline
0.1547 (6.4655) & 29787715716.5778 \tabularnewline
0.1573 (6.3559) & 56321524781.9192 \tabularnewline
0.16 (6.25) & 86961718198.1306 \tabularnewline
0.1627 (6.1475) & 114478142683.797 \tabularnewline
0.1653 (6.0484) & 131124611268.601 \tabularnewline
0.168 (5.9524) & 132017455927.078 \tabularnewline
0.1707 (5.8594) & 116377768651.957 \tabularnewline
0.1733 (5.7692) & 89092859903.2506 \tabularnewline
0.176 (5.6818) & 58254356387.0252 \tabularnewline
0.1787 (5.597) & 31842566176.7791 \tabularnewline
0.1813 (5.5147) & 14474319729.3814 \tabularnewline
0.184 (5.4348) & 6314547544.107 \tabularnewline
0.1867 (5.3571) & 4321000423.88148 \tabularnewline
0.1893 (5.2817) & 4679924052.54616 \tabularnewline
0.192 (5.2083) & 4894836300.55959 \tabularnewline
0.1947 (5.137) & 4436743470.41224 \tabularnewline
0.1973 (5.0676) & 3878508618.3668 \tabularnewline
0.2 (5) & 3700628456.3678 \tabularnewline
0.2027 (4.9342) & 3748187183.2942 \tabularnewline
0.2053 (4.8701) & 3570066751.40397 \tabularnewline
0.208 (4.8077) & 2966963875.31582 \tabularnewline
0.2107 (4.7468) & 2313306350.66818 \tabularnewline
0.2133 (4.6875) & 2423260467.91974 \tabularnewline
0.216 (4.6296) & 4047109443.45966 \tabularnewline
0.2187 (4.5732) & 7237581316.45314 \tabularnewline
0.2213 (4.5181) & 10892999426.1401 \tabularnewline
0.224 (4.4643) & 12816747097.7439 \tabularnewline
0.2267 (4.4118) & 10866841196.996 \tabularnewline
0.2293 (4.3605) & 5242233743.13386 \tabularnewline
0.232 (4.3103) & 670272745.712942 \tabularnewline
0.2347 (4.2614) & 6271653669.22217 \tabularnewline
0.2373 (4.2135) & 31735595816.709 \tabularnewline
0.24 (4.1667) & 80879897108.5068 \tabularnewline
0.2427 (4.1209) & 146389722660.562 \tabularnewline
0.2453 (4.0761) & 210022468493.106 \tabularnewline
0.248 (4.0323) & 249742449230.281 \tabularnewline
0.2507 (3.9894) & 250508715836.781 \tabularnewline
0.2533 (3.9474) & 211858181764.675 \tabularnewline
0.256 (3.9063) & 148884668646.771 \tabularnewline
0.2587 (3.866) & 83552037132.7726 \tabularnewline
0.2613 (3.8265) & 34302391287.4571 \tabularnewline
0.264 (3.7879) & 8365923317.91547 \tabularnewline
0.2667 (3.75) & 1553202331.19774 \tabularnewline
0.2693 (3.7129) & 3971541617.31612 \tabularnewline
0.272 (3.6765) & 7019600563.55231 \tabularnewline
0.2747 (3.6408) & 7186819680.82853 \tabularnewline
0.2773 (3.6058) & 5460397105.16666 \tabularnewline
0.28 (3.5714) & 4238234935.02282 \tabularnewline
0.2827 (3.5377) & 4632952387.06709 \tabularnewline
0.2853 (3.5047) & 5912168759.47727 \tabularnewline
0.288 (3.4722) & 6633746344.03415 \tabularnewline
0.2907 (3.4404) & 5998087762.93194 \tabularnewline
0.2933 (3.4091) & 4363286500.62166 \tabularnewline
0.296 (3.3784) & 2811244626.48401 \tabularnewline
0.2987 (3.3482) & 2284774053.51878 \tabularnewline
0.3013 (3.3186) & 2923512062.06735 \tabularnewline
0.304 (3.2895) & 3948819778.25269 \tabularnewline
0.3067 (3.2609) & 4150582430.33007 \tabularnewline
0.3093 (3.2328) & 2867364902.99801 \tabularnewline
0.312 (3.2051) & 1018219299.34965 \tabularnewline
0.3147 (3.178) & 1487315327.73598 \tabularnewline
0.3173 (3.1513) & 8233498708.40618 \tabularnewline
0.32 (3.125) & 24186310262.9325 \tabularnewline
0.3227 (3.0992) & 48965374329.7289 \tabularnewline
0.3253 (3.0738) & 77880468425.0908 \tabularnewline
0.328 (3.0488) & 103047585749.438 \tabularnewline
0.3307 (3.0242) & 116588142423.941 \tabularnewline
0.3333 (3) & 113858751864.376 \tabularnewline
0.336 (2.9762) & 95890958838.9967 \tabularnewline
0.3387 (2.9528) & 68481776302.38 \tabularnewline
0.3413 (2.9297) & 39867244055.6431 \tabularnewline
0.344 (2.907) & 17301301311.7606 \tabularnewline
0.3467 (2.8846) & 4454895833.86338 \tabularnewline
0.3493 (2.8626) & 772219115.409149 \tabularnewline
0.352 (2.8409) & 2687046974.39917 \tabularnewline
0.3547 (2.8195) & 5886051788.02153 \tabularnewline
0.3573 (2.7985) & 7363884764.61921 \tabularnewline
0.36 (2.7778) & 6340639589.99456 \tabularnewline
0.3627 (2.7574) & 3883484279.3341 \tabularnewline
0.3653 (2.7372) & 1686320100.11722 \tabularnewline
0.368 (2.7174) & 865431285.352098 \tabularnewline
0.3707 (2.6978) & 1419669679.3722 \tabularnewline
0.3733 (2.6786) & 2491619610.94827 \tabularnewline
0.376 (2.6596) & 3077574414.17875 \tabularnewline
0.3787 (2.6408) & 2689130830.06651 \tabularnewline
0.3813 (2.6224) & 1596504631.03682 \tabularnewline
0.384 (2.6042) & 553366527.425735 \tabularnewline
0.3867 (2.5862) & 236764925.324302 \tabularnewline
0.3893 (2.5685) & 723175212.661849 \tabularnewline
0.392 (2.551) & 1408076913.82945 \tabularnewline
0.3947 (2.5338) & 1532878213.7251 \tabularnewline
0.3973 (2.5168) & 1083289185.95706 \tabularnewline
0.4 (2.5) & 1412711201.75615 \tabularnewline
0.4027 (2.4834) & 4919528511.69071 \tabularnewline
0.4053 (2.4671) & 13602381734.5055 \tabularnewline
0.408 (2.451) & 27252069889.8852 \tabularnewline
0.4107 (2.4351) & 42577668387.7737 \tabularnewline
0.4133 (2.4194) & 54244530436.5543 \tabularnewline
0.416 (2.4038) & 57446206761.69 \tabularnewline
0.4187 (2.3885) & 50813787209.1707 \tabularnewline
0.4213 (2.3734) & 36968658113.6635 \tabularnewline
0.424 (2.3585) & 21487899448.8943 \tabularnewline
0.4267 (2.3438) & 9558039398.91556 \tabularnewline
0.4293 (2.3292) & 3484397617.26947 \tabularnewline
0.432 (2.3148) & 2183361585.19146 \tabularnewline
0.4347 (2.3006) & 2748510283.29383 \tabularnewline
0.4373 (2.2866) & 2757456783.61034 \tabularnewline
0.44 (2.2727) & 1639622545.79267 \tabularnewline
0.4427 (2.259) & 358042071.801447 \tabularnewline
0.4453 (2.2455) & 44789994.33921 \tabularnewline
0.448 (2.2321) & 875962438.025007 \tabularnewline
0.4507 (2.2189) & 1994947572.10198 \tabularnewline
0.4533 (2.2059) & 2365064568.34087 \tabularnewline
0.456 (2.193) & 1681037473.42573 \tabularnewline
0.4587 (2.1802) & 593054414.944868 \tabularnewline
0.4613 (2.1676) & 135478573.354966 \tabularnewline
0.464 (2.1552) & 908918717.783355 \tabularnewline
0.4667 (2.1429) & 2636669674.42148 \tabularnewline
0.4693 (2.1307) & 4375209356.48434 \tabularnewline
0.472 (2.1186) & 5150738043.84685 \tabularnewline
0.4747 (2.1067) & 4568217406.93918 \tabularnewline
0.4773 (2.095) & 2975475523.16184 \tabularnewline
0.48 (2.0833) & 1228684538.85327 \tabularnewline
0.4827 (2.0718) & 206212252.805577 \tabularnewline
0.4853 (2.0604) & 366156578.875514 \tabularnewline
0.488 (2.0492) & 1621112356.05958 \tabularnewline
0.4907 (2.038) & 3480831847.50222 \tabularnewline
0.4933 (2.027) & 5351960072.28168 \tabularnewline
0.496 (2.0161) & 6774158569.29618 \tabularnewline
0.4987 (2.0053) & 7523462418.50207 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261173&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]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0027 (375)[/C][C]14801963260928.5[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]4201472336533.03[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]4479014241912.19[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]3376611438334.47[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]1429519382490.82[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]356628953376.779[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]263990213895.157[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]369155694169.72[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]336757961280.7[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]286536865418.823[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]270220588121.518[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]229461504355.145[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]171431062806.722[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]136954701495.773[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]120206167826.543[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]103033049711.82[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]90380174063.4805[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]90618359014.7312[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]106346166851.197[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]137778802481.766[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]168599016837.455[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]167820565804.963[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]123170481384.16[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]66110143110.2716[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]63647163646.6286[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]188896079785.163[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]477215119326.382[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]884978814420.242[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]1291807691367.48[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]1555066201780.92[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]1581246927281.67[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]1367483928318.88[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]995885158791.91[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]595430869392.518[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]276617100187.92[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]86944115645.8188[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]11017095335.3971[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]831209928.91974[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]10308542753.5893[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]14624771427.3326[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]10478619178.197[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]4311462669.55346[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]1215900174.89174[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]1404220208.26187[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]2517244214.62445[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]2703748811.81161[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]1884877183.43378[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]1087335692.86853[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]1135907474.55911[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]2061990586.82934[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]3315524887.87397[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]4046813957.90689[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]3545521846.90507[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]1913520509.12677[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]687277792.749716[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]2821187700.00872[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]11755511056.8681[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]29787715716.5778[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]56321524781.9192[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]86961718198.1306[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]114478142683.797[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]131124611268.601[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]132017455927.078[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]116377768651.957[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]89092859903.2506[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]58254356387.0252[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]31842566176.7791[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]14474319729.3814[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]6314547544.107[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]4321000423.88148[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]4679924052.54616[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]4894836300.55959[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]4436743470.41224[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]3878508618.3668[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]3700628456.3678[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]3748187183.2942[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]3570066751.40397[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]2966963875.31582[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]2313306350.66818[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]2423260467.91974[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]4047109443.45966[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]7237581316.45314[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]10892999426.1401[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]12816747097.7439[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]10866841196.996[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]5242233743.13386[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]670272745.712942[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]6271653669.22217[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]31735595816.709[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]80879897108.5068[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]146389722660.562[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]210022468493.106[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]249742449230.281[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]250508715836.781[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]211858181764.675[/C][/ROW]
[ROW][C]0.256 (3.9063)[/C][C]148884668646.771[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]83552037132.7726[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]34302391287.4571[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]8365923317.91547[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]1553202331.19774[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]3971541617.31612[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]7019600563.55231[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]7186819680.82853[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]5460397105.16666[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]4238234935.02282[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]4632952387.06709[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]5912168759.47727[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]6633746344.03415[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]5998087762.93194[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]4363286500.62166[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]2811244626.48401[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]2284774053.51878[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]2923512062.06735[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]3948819778.25269[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]4150582430.33007[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]2867364902.99801[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]1018219299.34965[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]1487315327.73598[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]8233498708.40618[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]24186310262.9325[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]48965374329.7289[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]77880468425.0908[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]103047585749.438[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]116588142423.941[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]113858751864.376[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]95890958838.9967[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]68481776302.38[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]39867244055.6431[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]17301301311.7606[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]4454895833.86338[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]772219115.409149[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]2687046974.39917[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]5886051788.02153[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]7363884764.61921[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]6340639589.99456[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]3883484279.3341[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]1686320100.11722[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]865431285.352098[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]1419669679.3722[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]2491619610.94827[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]3077574414.17875[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]2689130830.06651[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]1596504631.03682[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]553366527.425735[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]236764925.324302[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]723175212.661849[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]1408076913.82945[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]1532878213.7251[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]1083289185.95706[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]1412711201.75615[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]4919528511.69071[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]13602381734.5055[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]27252069889.8852[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]42577668387.7737[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]54244530436.5543[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]57446206761.69[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]50813787209.1707[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]36968658113.6635[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]21487899448.8943[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]9558039398.91556[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]3484397617.26947[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]2183361585.19146[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]2748510283.29383[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]2757456783.61034[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]1639622545.79267[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]358042071.801447[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]44789994.33921[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]875962438.025007[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]1994947572.10198[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]2365064568.34087[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]1681037473.42573[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]593054414.944868[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]135478573.354966[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]908918717.783355[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]2636669674.42148[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]4375209356.48434[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]5150738043.84685[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]4568217406.93918[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]2975475523.16184[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]1228684538.85327[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]206212252.805577[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]366156578.875514[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]1621112356.05958[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]3480831847.50222[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]5351960072.28168[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]6774158569.29618[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]7523462418.50207[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261173&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261173&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)14801963260928.5
0.0053 (187.5)4201472336533.03
0.008 (125)4479014241912.19
0.0107 (93.75)3376611438334.47
0.0133 (75)1429519382490.82
0.016 (62.5)356628953376.779
0.0187 (53.5714)263990213895.157
0.0213 (46.875)369155694169.72
0.024 (41.6667)336757961280.7
0.0267 (37.5)286536865418.823
0.0293 (34.0909)270220588121.518
0.032 (31.25)229461504355.145
0.0347 (28.8462)171431062806.722
0.0373 (26.7857)136954701495.773
0.04 (25)120206167826.543
0.0427 (23.4375)103033049711.82
0.0453 (22.0588)90380174063.4805
0.048 (20.8333)90618359014.7312
0.0507 (19.7368)106346166851.197
0.0533 (18.75)137778802481.766
0.056 (17.8571)168599016837.455
0.0587 (17.0455)167820565804.963
0.0613 (16.3043)123170481384.16
0.064 (15.625)66110143110.2716
0.0667 (15)63647163646.6286
0.0693 (14.4231)188896079785.163
0.072 (13.8889)477215119326.382
0.0747 (13.3929)884978814420.242
0.0773 (12.931)1291807691367.48
0.08 (12.5)1555066201780.92
0.0827 (12.0968)1581246927281.67
0.0853 (11.7188)1367483928318.88
0.088 (11.3636)995885158791.91
0.0907 (11.0294)595430869392.518
0.0933 (10.7143)276617100187.92
0.096 (10.4167)86944115645.8188
0.0987 (10.1351)11017095335.3971
0.1013 (9.8684)831209928.91974
0.104 (9.6154)10308542753.5893
0.1067 (9.375)14624771427.3326
0.1093 (9.1463)10478619178.197
0.112 (8.9286)4311462669.55346
0.1147 (8.7209)1215900174.89174
0.1173 (8.5227)1404220208.26187
0.12 (8.3333)2517244214.62445
0.1227 (8.1522)2703748811.81161
0.1253 (7.9787)1884877183.43378
0.128 (7.8125)1087335692.86853
0.1307 (7.6531)1135907474.55911
0.1333 (7.5)2061990586.82934
0.136 (7.3529)3315524887.87397
0.1387 (7.2115)4046813957.90689
0.1413 (7.0755)3545521846.90507
0.144 (6.9444)1913520509.12677
0.1467 (6.8182)687277792.749716
0.1493 (6.6964)2821187700.00872
0.152 (6.5789)11755511056.8681
0.1547 (6.4655)29787715716.5778
0.1573 (6.3559)56321524781.9192
0.16 (6.25)86961718198.1306
0.1627 (6.1475)114478142683.797
0.1653 (6.0484)131124611268.601
0.168 (5.9524)132017455927.078
0.1707 (5.8594)116377768651.957
0.1733 (5.7692)89092859903.2506
0.176 (5.6818)58254356387.0252
0.1787 (5.597)31842566176.7791
0.1813 (5.5147)14474319729.3814
0.184 (5.4348)6314547544.107
0.1867 (5.3571)4321000423.88148
0.1893 (5.2817)4679924052.54616
0.192 (5.2083)4894836300.55959
0.1947 (5.137)4436743470.41224
0.1973 (5.0676)3878508618.3668
0.2 (5)3700628456.3678
0.2027 (4.9342)3748187183.2942
0.2053 (4.8701)3570066751.40397
0.208 (4.8077)2966963875.31582
0.2107 (4.7468)2313306350.66818
0.2133 (4.6875)2423260467.91974
0.216 (4.6296)4047109443.45966
0.2187 (4.5732)7237581316.45314
0.2213 (4.5181)10892999426.1401
0.224 (4.4643)12816747097.7439
0.2267 (4.4118)10866841196.996
0.2293 (4.3605)5242233743.13386
0.232 (4.3103)670272745.712942
0.2347 (4.2614)6271653669.22217
0.2373 (4.2135)31735595816.709
0.24 (4.1667)80879897108.5068
0.2427 (4.1209)146389722660.562
0.2453 (4.0761)210022468493.106
0.248 (4.0323)249742449230.281
0.2507 (3.9894)250508715836.781
0.2533 (3.9474)211858181764.675
0.256 (3.9063)148884668646.771
0.2587 (3.866)83552037132.7726
0.2613 (3.8265)34302391287.4571
0.264 (3.7879)8365923317.91547
0.2667 (3.75)1553202331.19774
0.2693 (3.7129)3971541617.31612
0.272 (3.6765)7019600563.55231
0.2747 (3.6408)7186819680.82853
0.2773 (3.6058)5460397105.16666
0.28 (3.5714)4238234935.02282
0.2827 (3.5377)4632952387.06709
0.2853 (3.5047)5912168759.47727
0.288 (3.4722)6633746344.03415
0.2907 (3.4404)5998087762.93194
0.2933 (3.4091)4363286500.62166
0.296 (3.3784)2811244626.48401
0.2987 (3.3482)2284774053.51878
0.3013 (3.3186)2923512062.06735
0.304 (3.2895)3948819778.25269
0.3067 (3.2609)4150582430.33007
0.3093 (3.2328)2867364902.99801
0.312 (3.2051)1018219299.34965
0.3147 (3.178)1487315327.73598
0.3173 (3.1513)8233498708.40618
0.32 (3.125)24186310262.9325
0.3227 (3.0992)48965374329.7289
0.3253 (3.0738)77880468425.0908
0.328 (3.0488)103047585749.438
0.3307 (3.0242)116588142423.941
0.3333 (3)113858751864.376
0.336 (2.9762)95890958838.9967
0.3387 (2.9528)68481776302.38
0.3413 (2.9297)39867244055.6431
0.344 (2.907)17301301311.7606
0.3467 (2.8846)4454895833.86338
0.3493 (2.8626)772219115.409149
0.352 (2.8409)2687046974.39917
0.3547 (2.8195)5886051788.02153
0.3573 (2.7985)7363884764.61921
0.36 (2.7778)6340639589.99456
0.3627 (2.7574)3883484279.3341
0.3653 (2.7372)1686320100.11722
0.368 (2.7174)865431285.352098
0.3707 (2.6978)1419669679.3722
0.3733 (2.6786)2491619610.94827
0.376 (2.6596)3077574414.17875
0.3787 (2.6408)2689130830.06651
0.3813 (2.6224)1596504631.03682
0.384 (2.6042)553366527.425735
0.3867 (2.5862)236764925.324302
0.3893 (2.5685)723175212.661849
0.392 (2.551)1408076913.82945
0.3947 (2.5338)1532878213.7251
0.3973 (2.5168)1083289185.95706
0.4 (2.5)1412711201.75615
0.4027 (2.4834)4919528511.69071
0.4053 (2.4671)13602381734.5055
0.408 (2.451)27252069889.8852
0.4107 (2.4351)42577668387.7737
0.4133 (2.4194)54244530436.5543
0.416 (2.4038)57446206761.69
0.4187 (2.3885)50813787209.1707
0.4213 (2.3734)36968658113.6635
0.424 (2.3585)21487899448.8943
0.4267 (2.3438)9558039398.91556
0.4293 (2.3292)3484397617.26947
0.432 (2.3148)2183361585.19146
0.4347 (2.3006)2748510283.29383
0.4373 (2.2866)2757456783.61034
0.44 (2.2727)1639622545.79267
0.4427 (2.259)358042071.801447
0.4453 (2.2455)44789994.33921
0.448 (2.2321)875962438.025007
0.4507 (2.2189)1994947572.10198
0.4533 (2.2059)2365064568.34087
0.456 (2.193)1681037473.42573
0.4587 (2.1802)593054414.944868
0.4613 (2.1676)135478573.354966
0.464 (2.1552)908918717.783355
0.4667 (2.1429)2636669674.42148
0.4693 (2.1307)4375209356.48434
0.472 (2.1186)5150738043.84685
0.4747 (2.1067)4568217406.93918
0.4773 (2.095)2975475523.16184
0.48 (2.0833)1228684538.85327
0.4827 (2.0718)206212252.805577
0.4853 (2.0604)366156578.875514
0.488 (2.0492)1621112356.05958
0.4907 (2.038)3480831847.50222
0.4933 (2.027)5351960072.28168
0.496 (2.0161)6774158569.29618
0.4987 (2.0053)7523462418.50207


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')