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*The author of this computation has been verified*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Fri, 21 Dec 2018 11:01:54 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Dec/21/t1545386724b5opvt5zhdemwba.htm/, Retrieved Sat, 04 May 2024 17:14:43 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316162, Retrieved Sat, 04 May 2024 17:14:43 +0000

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Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Spectral Analysis] [] [2018-12-21 10:01:54] [c34823a5a1451805c3b93623903769ac] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316162&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316162&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316162&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	Big Analytics Cloud Computing Center

Raw Periodogram
Parameter	Value
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
0.0023 (432)	127025391824.035
0.0046 (216)	73460041505.3187
0.0069 (144)	61612288216.9135
0.0093 (108)	29632164264.2419
0.0116 (86.4)	1080966815.4089
0.0139 (72)	317977280.619208
0.0162 (61.7143)	3176462010.76188
0.0185 (54)	583976317.457577
0.0208 (48)	579320008.180758
0.0231 (43.2)	1675463366.55163
0.0255 (39.2727)	1110566635.5811
0.0278 (36)	1622546359.49341
0.0301 (33.2308)	1301710852.62574
0.0324 (30.8571)	1022978694.18766
0.0347 (28.8)	1272117131.60871
0.037 (27)	817615295.052345
0.0394 (25.4118)	941949958.177312
0.0417 (24)	41865639.71475
0.044 (22.7368)	93580495.064741
0.0463 (21.6)	83351361.529428
0.0486 (20.5714)	532848111.920858
0.0509 (19.6364)	148790534.044092
0.0532 (18.7826)	101005922.222011
0.0556 (18)	198628017.271542
0.0579 (17.28)	418487222.679747
0.0602 (16.6154)	153271996.75408
0.0625 (16)	545600771.08391
0.0648 (15.4286)	1381256995.58038
0.0671 (14.8966)	213158781.575092
0.0694 (14.4)	64826285.364622
0.0718 (13.9355)	38140142.088959
0.0741 (13.5)	494992762.414842
0.0764 (13.0909)	69849189.669355
0.0787 (12.7059)	74123053.490486
0.081 (12.3429)	949538600.735174
0.0833 (12)	11571336049.6129
0.0856 (11.6757)	6034624412.01096
0.088 (11.3684)	299648237.90966
0.0903 (11.0769)	885268992.238016
0.0926 (10.8)	278048842.482105
0.0949 (10.5366)	505072516.008564
0.0972 (10.2857)	252210838.396013
0.0995 (10.0465)	336863708.548105
0.1019 (9.8182)	34594719.308065
0.1042 (9.6)	1092011219.97844
0.1065 (9.3913)	374981879.982857
0.1088 (9.1915)	871982413.3207
0.1111 (9)	211724577.816949
0.1134 (8.8163)	51341411.153308
0.1157 (8.64)	215539139.867195
0.1181 (8.4706)	19538655.536039
0.1204 (8.3077)	259789706.672972
0.1227 (8.1509)	4498923.605699
0.125 (8)	141259776.527327
0.1273 (7.8545)	33699748.539012
0.1296 (7.7143)	156952691.818262
0.1319 (7.5789)	30610132.985598
0.1343 (7.4483)	173444317.434149
0.1366 (7.322)	111937915.435291
0.1389 (7.2)	39963491.639871
0.1412 (7.082)	142388108.154233
0.1435 (6.9677)	214580985.832111
0.1458 (6.8571)	383908417.988932
0.1481 (6.75)	353231167.71988
0.1505 (6.6462)	138700528.847621
0.1528 (6.5455)	221594046.285191
0.1551 (6.4478)	118515168.714265
0.1574 (6.3529)	248160667.215484
0.1597 (6.2609)	46895962.316118
0.162 (6.1714)	367011165.601127
0.1644 (6.0845)	109050947.283699
0.1667 (6)	681978340.941401
0.169 (5.9178)	737552112.636454
0.1713 (5.8378)	68856769.232286
0.1736 (5.76)	88379000.504764
0.1759 (5.6842)	55223627.001429
0.1782 (5.6104)	68752087.292971
0.1806 (5.5385)	65993940.357392
0.1829 (5.4684)	15029467.611757
0.1852 (5.4)	338995750.72671
0.1875 (5.3333)	95753279.555695
0.1898 (5.2683)	33240222.658496
0.1921 (5.2048)	111146542.427409
0.1944 (5.1429)	185178777.15991
0.1968 (5.0824)	261524874.263263
0.1991 (5.0233)	53631522.708857
0.2014 (4.9655)	37392420.939455
0.2037 (4.9091)	21144910.715742
0.206 (4.8539)	160749703.249412
0.2083 (4.8)	541344362.701055
0.2106 (4.7473)	243245640.285704
0.213 (4.6957)	144621590.277018
0.2153 (4.6452)	23932345.805999
0.2176 (4.5957)	88027455.879206
0.2199 (4.5474)	50046480.011429
0.2222 (4.5)	13357490.727783
0.2245 (4.4536)	176220835.939555
0.2269 (4.4082)	146306097.095641
0.2292 (4.3636)	49816895.519363
0.2315 (4.32)	77562839.709217
0.2338 (4.2772)	159617107.051515
0.2361 (4.2353)	201380008.51012
0.2384 (4.1942)	31200259.808022
0.2407 (4.1538)	108369093.388755
0.2431 (4.1143)	55783883.965197
0.2454 (4.0755)	340912844.427454
0.2477 (4.0374)	317096828.241526
0.25 (4)	1003201181.984
0.2523 (3.9633)	391066482.074061
0.2546 (3.9273)	163355105.096708
0.2569 (3.8919)	178203820.432432
0.2593 (3.8571)	399044204.311284
0.2616 (3.823)	705232210.430877
0.2639 (3.7895)	23489711.998524
0.2662 (3.7565)	265632911.727748
0.2685 (3.7241)	217861613.02914
0.2708 (3.6923)	34213564.837778
0.2731 (3.661)	132324085.624491
0.2755 (3.6303)	361261329.652752
0.2778 (3.6)	617463.953928
0.2801 (3.5702)	257608326.94325
0.2824 (3.541)	220210168.752762
0.2847 (3.5122)	105254560.211173
0.287 (3.4839)	64015759.783598
0.2894 (3.456)	214362514.892953
0.2917 (3.4286)	24878989.682362
0.294 (3.4016)	34179844.867024
0.2963 (3.375)	79348112.841395
0.2986 (3.3488)	52575254.688555
0.3009 (3.3231)	90399459.680973
0.3032 (3.2977)	242242023.969843
0.3056 (3.2727)	272072872.975049
0.3079 (3.2481)	48857374.679767
0.3102 (3.2239)	42665673.998002
0.3125 (3.2)	90075649.157505
0.3148 (3.1765)	187463923.512803
0.3171 (3.1533)	105620661.81879
0.3194 (3.1304)	18101744.664654
0.3218 (3.1079)	70082306.596571
0.3241 (3.0857)	35035827.257198
0.3264 (3.0638)	13359779.356508
0.3287 (3.0423)	593031393.076471
0.331 (3.021)	58505684.017333
0.3333 (3)	1514026866.28815
0.3356 (2.9793)	212220094.568171
0.338 (2.9589)	55854112.805477
0.3403 (2.9388)	174864877.07869
0.3426 (2.9189)	2030029420.02483
0.3449 (2.8993)	118880660.346516
0.3472 (2.88)	25472915.781127
0.3495 (2.8609)	181581631.140522
0.3519 (2.8421)	792689723.586664
0.3542 (2.8235)	75825085.977781
0.3565 (2.8052)	225863587.938567
0.3588 (2.7871)	211892321.522227
0.3611 (2.7692)	654012578.881829
0.3634 (2.7516)	203360240.277726
0.3657 (2.7342)	98887149.944192
0.3681 (2.717)	189428659.396033
0.3704 (2.7)	79082956.364097
0.3727 (2.6832)	225066764.384937
0.375 (2.6667)	40947246.284629
0.3773 (2.6503)	184013774.536094
0.3796 (2.6341)	54267242.468199
0.3819 (2.6182)	237625778.528136
0.3843 (2.6024)	35906115.246867
0.3866 (2.5868)	46809355.179661
0.3889 (2.5714)	283788430.080426
0.3912 (2.5562)	107356639.994544
0.3935 (2.5412)	246124379.15632
0.3958 (2.5263)	244629924.077758
0.3981 (2.5116)	180858780.564013
0.4005 (2.4971)	41047302.009128
0.4028 (2.4828)	219873883.950924
0.4051 (2.4686)	560972270.429399
0.4074 (2.4545)	326177526.667441
0.4097 (2.4407)	394621849.800535
0.412 (2.427)	62896476.087756
0.4144 (2.4134)	756028840.7556
0.4167 (2.4)	2504771452.03218
0.419 (2.3867)	491972194.947785
0.4213 (2.3736)	254306564.352757
0.4236 (2.3607)	138090338.635781
0.4259 (2.3478)	42726783.909173
0.4282 (2.3351)	29300938.718964
0.4306 (2.3226)	230311220.745159
0.4329 (2.3102)	50239743.004604
0.4352 (2.2979)	424651558.14541
0.4375 (2.2857)	347850451.416659
0.4398 (2.2737)	78505817.472734
0.4421 (2.2618)	478962296.900991
0.4444 (2.25)	113105800.638638
0.4468 (2.2383)	270233954.350862
0.4491 (2.2268)	267402510.657197
0.4514 (2.2154)	61335540.778908
0.4537 (2.2041)	3967604.022634
0.456 (2.1929)	193881856.261008
0.4583 (2.1818)	1708278.912962
0.4606 (2.1709)	87572601.485278
0.463 (2.16)	145210705.048061
0.4653 (2.1493)	32370111.47756
0.4676 (2.1386)	78349308.970139
0.4699 (2.1281)	85868292.220096
0.4722 (2.1176)	97011506.320596
0.4745 (2.1073)	70020475.189536
0.4769 (2.0971)	122254325.554645
0.4792 (2.087)	503607529.663344
0.4815 (2.0769)	149015991.230981
0.4838 (2.067)	19274885.974895
0.4861 (2.0571)	45494194.760508
0.4884 (2.0474)	51563091.722707
0.4907 (2.0377)	18883877.545018
0.4931 (2.0282)	172434689.281527
0.4954 (2.0187)	262353593.462067
0.4977 (2.0093)	937467863.732651
0.5 (2)	259047946.858262

\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
0.0023 (432) & 127025391824.035 \tabularnewline
0.0046 (216) & 73460041505.3187 \tabularnewline
0.0069 (144) & 61612288216.9135 \tabularnewline
0.0093 (108) & 29632164264.2419 \tabularnewline
0.0116 (86.4) & 1080966815.4089 \tabularnewline
0.0139 (72) & 317977280.619208 \tabularnewline
0.0162 (61.7143) & 3176462010.76188 \tabularnewline
0.0185 (54) & 583976317.457577 \tabularnewline
0.0208 (48) & 579320008.180758 \tabularnewline
0.0231 (43.2) & 1675463366.55163 \tabularnewline
0.0255 (39.2727) & 1110566635.5811 \tabularnewline
0.0278 (36) & 1622546359.49341 \tabularnewline
0.0301 (33.2308) & 1301710852.62574 \tabularnewline
0.0324 (30.8571) & 1022978694.18766 \tabularnewline
0.0347 (28.8) & 1272117131.60871 \tabularnewline
0.037 (27) & 817615295.052345 \tabularnewline
0.0394 (25.4118) & 941949958.177312 \tabularnewline
0.0417 (24) & 41865639.71475 \tabularnewline
0.044 (22.7368) & 93580495.064741 \tabularnewline
0.0463 (21.6) & 83351361.529428 \tabularnewline
0.0486 (20.5714) & 532848111.920858 \tabularnewline
0.0509 (19.6364) & 148790534.044092 \tabularnewline
0.0532 (18.7826) & 101005922.222011 \tabularnewline
0.0556 (18) & 198628017.271542 \tabularnewline
0.0579 (17.28) & 418487222.679747 \tabularnewline
0.0602 (16.6154) & 153271996.75408 \tabularnewline
0.0625 (16) & 545600771.08391 \tabularnewline
0.0648 (15.4286) & 1381256995.58038 \tabularnewline
0.0671 (14.8966) & 213158781.575092 \tabularnewline
0.0694 (14.4) & 64826285.364622 \tabularnewline
0.0718 (13.9355) & 38140142.088959 \tabularnewline
0.0741 (13.5) & 494992762.414842 \tabularnewline
0.0764 (13.0909) & 69849189.669355 \tabularnewline
0.0787 (12.7059) & 74123053.490486 \tabularnewline
0.081 (12.3429) & 949538600.735174 \tabularnewline
0.0833 (12) & 11571336049.6129 \tabularnewline
0.0856 (11.6757) & 6034624412.01096 \tabularnewline
0.088 (11.3684) & 299648237.90966 \tabularnewline
0.0903 (11.0769) & 885268992.238016 \tabularnewline
0.0926 (10.8) & 278048842.482105 \tabularnewline
0.0949 (10.5366) & 505072516.008564 \tabularnewline
0.0972 (10.2857) & 252210838.396013 \tabularnewline
0.0995 (10.0465) & 336863708.548105 \tabularnewline
0.1019 (9.8182) & 34594719.308065 \tabularnewline
0.1042 (9.6) & 1092011219.97844 \tabularnewline
0.1065 (9.3913) & 374981879.982857 \tabularnewline
0.1088 (9.1915) & 871982413.3207 \tabularnewline
0.1111 (9) & 211724577.816949 \tabularnewline
0.1134 (8.8163) & 51341411.153308 \tabularnewline
0.1157 (8.64) & 215539139.867195 \tabularnewline
0.1181 (8.4706) & 19538655.536039 \tabularnewline
0.1204 (8.3077) & 259789706.672972 \tabularnewline
0.1227 (8.1509) & 4498923.605699 \tabularnewline
0.125 (8) & 141259776.527327 \tabularnewline
0.1273 (7.8545) & 33699748.539012 \tabularnewline
0.1296 (7.7143) & 156952691.818262 \tabularnewline
0.1319 (7.5789) & 30610132.985598 \tabularnewline
0.1343 (7.4483) & 173444317.434149 \tabularnewline
0.1366 (7.322) & 111937915.435291 \tabularnewline
0.1389 (7.2) & 39963491.639871 \tabularnewline
0.1412 (7.082) & 142388108.154233 \tabularnewline
0.1435 (6.9677) & 214580985.832111 \tabularnewline
0.1458 (6.8571) & 383908417.988932 \tabularnewline
0.1481 (6.75) & 353231167.71988 \tabularnewline
0.1505 (6.6462) & 138700528.847621 \tabularnewline
0.1528 (6.5455) & 221594046.285191 \tabularnewline
0.1551 (6.4478) & 118515168.714265 \tabularnewline
0.1574 (6.3529) & 248160667.215484 \tabularnewline
0.1597 (6.2609) & 46895962.316118 \tabularnewline
0.162 (6.1714) & 367011165.601127 \tabularnewline
0.1644 (6.0845) & 109050947.283699 \tabularnewline
0.1667 (6) & 681978340.941401 \tabularnewline
0.169 (5.9178) & 737552112.636454 \tabularnewline
0.1713 (5.8378) & 68856769.232286 \tabularnewline
0.1736 (5.76) & 88379000.504764 \tabularnewline
0.1759 (5.6842) & 55223627.001429 \tabularnewline
0.1782 (5.6104) & 68752087.292971 \tabularnewline
0.1806 (5.5385) & 65993940.357392 \tabularnewline
0.1829 (5.4684) & 15029467.611757 \tabularnewline
0.1852 (5.4) & 338995750.72671 \tabularnewline
0.1875 (5.3333) & 95753279.555695 \tabularnewline
0.1898 (5.2683) & 33240222.658496 \tabularnewline
0.1921 (5.2048) & 111146542.427409 \tabularnewline
0.1944 (5.1429) & 185178777.15991 \tabularnewline
0.1968 (5.0824) & 261524874.263263 \tabularnewline
0.1991 (5.0233) & 53631522.708857 \tabularnewline
0.2014 (4.9655) & 37392420.939455 \tabularnewline
0.2037 (4.9091) & 21144910.715742 \tabularnewline
0.206 (4.8539) & 160749703.249412 \tabularnewline
0.2083 (4.8) & 541344362.701055 \tabularnewline
0.2106 (4.7473) & 243245640.285704 \tabularnewline
0.213 (4.6957) & 144621590.277018 \tabularnewline
0.2153 (4.6452) & 23932345.805999 \tabularnewline
0.2176 (4.5957) & 88027455.879206 \tabularnewline
0.2199 (4.5474) & 50046480.011429 \tabularnewline
0.2222 (4.5) & 13357490.727783 \tabularnewline
0.2245 (4.4536) & 176220835.939555 \tabularnewline
0.2269 (4.4082) & 146306097.095641 \tabularnewline
0.2292 (4.3636) & 49816895.519363 \tabularnewline
0.2315 (4.32) & 77562839.709217 \tabularnewline
0.2338 (4.2772) & 159617107.051515 \tabularnewline
0.2361 (4.2353) & 201380008.51012 \tabularnewline
0.2384 (4.1942) & 31200259.808022 \tabularnewline
0.2407 (4.1538) & 108369093.388755 \tabularnewline
0.2431 (4.1143) & 55783883.965197 \tabularnewline
0.2454 (4.0755) & 340912844.427454 \tabularnewline
0.2477 (4.0374) & 317096828.241526 \tabularnewline
0.25 (4) & 1003201181.984 \tabularnewline
0.2523 (3.9633) & 391066482.074061 \tabularnewline
0.2546 (3.9273) & 163355105.096708 \tabularnewline
0.2569 (3.8919) & 178203820.432432 \tabularnewline
0.2593 (3.8571) & 399044204.311284 \tabularnewline
0.2616 (3.823) & 705232210.430877 \tabularnewline
0.2639 (3.7895) & 23489711.998524 \tabularnewline
0.2662 (3.7565) & 265632911.727748 \tabularnewline
0.2685 (3.7241) & 217861613.02914 \tabularnewline
0.2708 (3.6923) & 34213564.837778 \tabularnewline
0.2731 (3.661) & 132324085.624491 \tabularnewline
0.2755 (3.6303) & 361261329.652752 \tabularnewline
0.2778 (3.6) & 617463.953928 \tabularnewline
0.2801 (3.5702) & 257608326.94325 \tabularnewline
0.2824 (3.541) & 220210168.752762 \tabularnewline
0.2847 (3.5122) & 105254560.211173 \tabularnewline
0.287 (3.4839) & 64015759.783598 \tabularnewline
0.2894 (3.456) & 214362514.892953 \tabularnewline
0.2917 (3.4286) & 24878989.682362 \tabularnewline
0.294 (3.4016) & 34179844.867024 \tabularnewline
0.2963 (3.375) & 79348112.841395 \tabularnewline
0.2986 (3.3488) & 52575254.688555 \tabularnewline
0.3009 (3.3231) & 90399459.680973 \tabularnewline
0.3032 (3.2977) & 242242023.969843 \tabularnewline
0.3056 (3.2727) & 272072872.975049 \tabularnewline
0.3079 (3.2481) & 48857374.679767 \tabularnewline
0.3102 (3.2239) & 42665673.998002 \tabularnewline
0.3125 (3.2) & 90075649.157505 \tabularnewline
0.3148 (3.1765) & 187463923.512803 \tabularnewline
0.3171 (3.1533) & 105620661.81879 \tabularnewline
0.3194 (3.1304) & 18101744.664654 \tabularnewline
0.3218 (3.1079) & 70082306.596571 \tabularnewline
0.3241 (3.0857) & 35035827.257198 \tabularnewline
0.3264 (3.0638) & 13359779.356508 \tabularnewline
0.3287 (3.0423) & 593031393.076471 \tabularnewline
0.331 (3.021) & 58505684.017333 \tabularnewline
0.3333 (3) & 1514026866.28815 \tabularnewline
0.3356 (2.9793) & 212220094.568171 \tabularnewline
0.338 (2.9589) & 55854112.805477 \tabularnewline
0.3403 (2.9388) & 174864877.07869 \tabularnewline
0.3426 (2.9189) & 2030029420.02483 \tabularnewline
0.3449 (2.8993) & 118880660.346516 \tabularnewline
0.3472 (2.88) & 25472915.781127 \tabularnewline
0.3495 (2.8609) & 181581631.140522 \tabularnewline
0.3519 (2.8421) & 792689723.586664 \tabularnewline
0.3542 (2.8235) & 75825085.977781 \tabularnewline
0.3565 (2.8052) & 225863587.938567 \tabularnewline
0.3588 (2.7871) & 211892321.522227 \tabularnewline
0.3611 (2.7692) & 654012578.881829 \tabularnewline
0.3634 (2.7516) & 203360240.277726 \tabularnewline
0.3657 (2.7342) & 98887149.944192 \tabularnewline
0.3681 (2.717) & 189428659.396033 \tabularnewline
0.3704 (2.7) & 79082956.364097 \tabularnewline
0.3727 (2.6832) & 225066764.384937 \tabularnewline
0.375 (2.6667) & 40947246.284629 \tabularnewline
0.3773 (2.6503) & 184013774.536094 \tabularnewline
0.3796 (2.6341) & 54267242.468199 \tabularnewline
0.3819 (2.6182) & 237625778.528136 \tabularnewline
0.3843 (2.6024) & 35906115.246867 \tabularnewline
0.3866 (2.5868) & 46809355.179661 \tabularnewline
0.3889 (2.5714) & 283788430.080426 \tabularnewline
0.3912 (2.5562) & 107356639.994544 \tabularnewline
0.3935 (2.5412) & 246124379.15632 \tabularnewline
0.3958 (2.5263) & 244629924.077758 \tabularnewline
0.3981 (2.5116) & 180858780.564013 \tabularnewline
0.4005 (2.4971) & 41047302.009128 \tabularnewline
0.4028 (2.4828) & 219873883.950924 \tabularnewline
0.4051 (2.4686) & 560972270.429399 \tabularnewline
0.4074 (2.4545) & 326177526.667441 \tabularnewline
0.4097 (2.4407) & 394621849.800535 \tabularnewline
0.412 (2.427) & 62896476.087756 \tabularnewline
0.4144 (2.4134) & 756028840.7556 \tabularnewline
0.4167 (2.4) & 2504771452.03218 \tabularnewline
0.419 (2.3867) & 491972194.947785 \tabularnewline
0.4213 (2.3736) & 254306564.352757 \tabularnewline
0.4236 (2.3607) & 138090338.635781 \tabularnewline
0.4259 (2.3478) & 42726783.909173 \tabularnewline
0.4282 (2.3351) & 29300938.718964 \tabularnewline
0.4306 (2.3226) & 230311220.745159 \tabularnewline
0.4329 (2.3102) & 50239743.004604 \tabularnewline
0.4352 (2.2979) & 424651558.14541 \tabularnewline
0.4375 (2.2857) & 347850451.416659 \tabularnewline
0.4398 (2.2737) & 78505817.472734 \tabularnewline
0.4421 (2.2618) & 478962296.900991 \tabularnewline
0.4444 (2.25) & 113105800.638638 \tabularnewline
0.4468 (2.2383) & 270233954.350862 \tabularnewline
0.4491 (2.2268) & 267402510.657197 \tabularnewline
0.4514 (2.2154) & 61335540.778908 \tabularnewline
0.4537 (2.2041) & 3967604.022634 \tabularnewline
0.456 (2.1929) & 193881856.261008 \tabularnewline
0.4583 (2.1818) & 1708278.912962 \tabularnewline
0.4606 (2.1709) & 87572601.485278 \tabularnewline
0.463 (2.16) & 145210705.048061 \tabularnewline
0.4653 (2.1493) & 32370111.47756 \tabularnewline
0.4676 (2.1386) & 78349308.970139 \tabularnewline
0.4699 (2.1281) & 85868292.220096 \tabularnewline
0.4722 (2.1176) & 97011506.320596 \tabularnewline
0.4745 (2.1073) & 70020475.189536 \tabularnewline
0.4769 (2.0971) & 122254325.554645 \tabularnewline
0.4792 (2.087) & 503607529.663344 \tabularnewline
0.4815 (2.0769) & 149015991.230981 \tabularnewline
0.4838 (2.067) & 19274885.974895 \tabularnewline
0.4861 (2.0571) & 45494194.760508 \tabularnewline
0.4884 (2.0474) & 51563091.722707 \tabularnewline
0.4907 (2.0377) & 18883877.545018 \tabularnewline
0.4931 (2.0282) & 172434689.281527 \tabularnewline
0.4954 (2.0187) & 262353593.462067 \tabularnewline
0.4977 (2.0093) & 937467863.732651 \tabularnewline
0.5 (2) & 259047946.858262 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316162&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]0.0023 (432)[/C][C]127025391824.035[/C][/ROW]
[ROW][C]0.0046 (216)[/C][C]73460041505.3187[/C][/ROW]
[ROW][C]0.0069 (144)[/C][C]61612288216.9135[/C][/ROW]
[ROW][C]0.0093 (108)[/C][C]29632164264.2419[/C][/ROW]
[ROW][C]0.0116 (86.4)[/C][C]1080966815.4089[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]317977280.619208[/C][/ROW]
[ROW][C]0.0162 (61.7143)[/C][C]3176462010.76188[/C][/ROW]
[ROW][C]0.0185 (54)[/C][C]583976317.457577[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]579320008.180758[/C][/ROW]
[ROW][C]0.0231 (43.2)[/C][C]1675463366.55163[/C][/ROW]
[ROW][C]0.0255 (39.2727)[/C][C]1110566635.5811[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]1622546359.49341[/C][/ROW]
[ROW][C]0.0301 (33.2308)[/C][C]1301710852.62574[/C][/ROW]
[ROW][C]0.0324 (30.8571)[/C][C]1022978694.18766[/C][/ROW]
[ROW][C]0.0347 (28.8)[/C][C]1272117131.60871[/C][/ROW]
[ROW][C]0.037 (27)[/C][C]817615295.052345[/C][/ROW]
[ROW][C]0.0394 (25.4118)[/C][C]941949958.177312[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]41865639.71475[/C][/ROW]
[ROW][C]0.044 (22.7368)[/C][C]93580495.064741[/C][/ROW]
[ROW][C]0.0463 (21.6)[/C][C]83351361.529428[/C][/ROW]
[ROW][C]0.0486 (20.5714)[/C][C]532848111.920858[/C][/ROW]
[ROW][C]0.0509 (19.6364)[/C][C]148790534.044092[/C][/ROW]
[ROW][C]0.0532 (18.7826)[/C][C]101005922.222011[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]198628017.271542[/C][/ROW]
[ROW][C]0.0579 (17.28)[/C][C]418487222.679747[/C][/ROW]
[ROW][C]0.0602 (16.6154)[/C][C]153271996.75408[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]545600771.08391[/C][/ROW]
[ROW][C]0.0648 (15.4286)[/C][C]1381256995.58038[/C][/ROW]
[ROW][C]0.0671 (14.8966)[/C][C]213158781.575092[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]64826285.364622[/C][/ROW]
[ROW][C]0.0718 (13.9355)[/C][C]38140142.088959[/C][/ROW]
[ROW][C]0.0741 (13.5)[/C][C]494992762.414842[/C][/ROW]
[ROW][C]0.0764 (13.0909)[/C][C]69849189.669355[/C][/ROW]
[ROW][C]0.0787 (12.7059)[/C][C]74123053.490486[/C][/ROW]
[ROW][C]0.081 (12.3429)[/C][C]949538600.735174[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]11571336049.6129[/C][/ROW]
[ROW][C]0.0856 (11.6757)[/C][C]6034624412.01096[/C][/ROW]
[ROW][C]0.088 (11.3684)[/C][C]299648237.90966[/C][/ROW]
[ROW][C]0.0903 (11.0769)[/C][C]885268992.238016[/C][/ROW]
[ROW][C]0.0926 (10.8)[/C][C]278048842.482105[/C][/ROW]
[ROW][C]0.0949 (10.5366)[/C][C]505072516.008564[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]252210838.396013[/C][/ROW]
[ROW][C]0.0995 (10.0465)[/C][C]336863708.548105[/C][/ROW]
[ROW][C]0.1019 (9.8182)[/C][C]34594719.308065[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]1092011219.97844[/C][/ROW]
[ROW][C]0.1065 (9.3913)[/C][C]374981879.982857[/C][/ROW]
[ROW][C]0.1088 (9.1915)[/C][C]871982413.3207[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]211724577.816949[/C][/ROW]
[ROW][C]0.1134 (8.8163)[/C][C]51341411.153308[/C][/ROW]
[ROW][C]0.1157 (8.64)[/C][C]215539139.867195[/C][/ROW]
[ROW][C]0.1181 (8.4706)[/C][C]19538655.536039[/C][/ROW]
[ROW][C]0.1204 (8.3077)[/C][C]259789706.672972[/C][/ROW]
[ROW][C]0.1227 (8.1509)[/C][C]4498923.605699[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]141259776.527327[/C][/ROW]
[ROW][C]0.1273 (7.8545)[/C][C]33699748.539012[/C][/ROW]
[ROW][C]0.1296 (7.7143)[/C][C]156952691.818262[/C][/ROW]
[ROW][C]0.1319 (7.5789)[/C][C]30610132.985598[/C][/ROW]
[ROW][C]0.1343 (7.4483)[/C][C]173444317.434149[/C][/ROW]
[ROW][C]0.1366 (7.322)[/C][C]111937915.435291[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]39963491.639871[/C][/ROW]
[ROW][C]0.1412 (7.082)[/C][C]142388108.154233[/C][/ROW]
[ROW][C]0.1435 (6.9677)[/C][C]214580985.832111[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]383908417.988932[/C][/ROW]
[ROW][C]0.1481 (6.75)[/C][C]353231167.71988[/C][/ROW]
[ROW][C]0.1505 (6.6462)[/C][C]138700528.847621[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]221594046.285191[/C][/ROW]
[ROW][C]0.1551 (6.4478)[/C][C]118515168.714265[/C][/ROW]
[ROW][C]0.1574 (6.3529)[/C][C]248160667.215484[/C][/ROW]
[ROW][C]0.1597 (6.2609)[/C][C]46895962.316118[/C][/ROW]
[ROW][C]0.162 (6.1714)[/C][C]367011165.601127[/C][/ROW]
[ROW][C]0.1644 (6.0845)[/C][C]109050947.283699[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]681978340.941401[/C][/ROW]
[ROW][C]0.169 (5.9178)[/C][C]737552112.636454[/C][/ROW]
[ROW][C]0.1713 (5.8378)[/C][C]68856769.232286[/C][/ROW]
[ROW][C]0.1736 (5.76)[/C][C]88379000.504764[/C][/ROW]
[ROW][C]0.1759 (5.6842)[/C][C]55223627.001429[/C][/ROW]
[ROW][C]0.1782 (5.6104)[/C][C]68752087.292971[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]65993940.357392[/C][/ROW]
[ROW][C]0.1829 (5.4684)[/C][C]15029467.611757[/C][/ROW]
[ROW][C]0.1852 (5.4)[/C][C]338995750.72671[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]95753279.555695[/C][/ROW]
[ROW][C]0.1898 (5.2683)[/C][C]33240222.658496[/C][/ROW]
[ROW][C]0.1921 (5.2048)[/C][C]111146542.427409[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]185178777.15991[/C][/ROW]
[ROW][C]0.1968 (5.0824)[/C][C]261524874.263263[/C][/ROW]
[ROW][C]0.1991 (5.0233)[/C][C]53631522.708857[/C][/ROW]
[ROW][C]0.2014 (4.9655)[/C][C]37392420.939455[/C][/ROW]
[ROW][C]0.2037 (4.9091)[/C][C]21144910.715742[/C][/ROW]
[ROW][C]0.206 (4.8539)[/C][C]160749703.249412[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]541344362.701055[/C][/ROW]
[ROW][C]0.2106 (4.7473)[/C][C]243245640.285704[/C][/ROW]
[ROW][C]0.213 (4.6957)[/C][C]144621590.277018[/C][/ROW]
[ROW][C]0.2153 (4.6452)[/C][C]23932345.805999[/C][/ROW]
[ROW][C]0.2176 (4.5957)[/C][C]88027455.879206[/C][/ROW]
[ROW][C]0.2199 (4.5474)[/C][C]50046480.011429[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]13357490.727783[/C][/ROW]
[ROW][C]0.2245 (4.4536)[/C][C]176220835.939555[/C][/ROW]
[ROW][C]0.2269 (4.4082)[/C][C]146306097.095641[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]49816895.519363[/C][/ROW]
[ROW][C]0.2315 (4.32)[/C][C]77562839.709217[/C][/ROW]
[ROW][C]0.2338 (4.2772)[/C][C]159617107.051515[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]201380008.51012[/C][/ROW]
[ROW][C]0.2384 (4.1942)[/C][C]31200259.808022[/C][/ROW]
[ROW][C]0.2407 (4.1538)[/C][C]108369093.388755[/C][/ROW]
[ROW][C]0.2431 (4.1143)[/C][C]55783883.965197[/C][/ROW]
[ROW][C]0.2454 (4.0755)[/C][C]340912844.427454[/C][/ROW]
[ROW][C]0.2477 (4.0374)[/C][C]317096828.241526[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1003201181.984[/C][/ROW]
[ROW][C]0.2523 (3.9633)[/C][C]391066482.074061[/C][/ROW]
[ROW][C]0.2546 (3.9273)[/C][C]163355105.096708[/C][/ROW]
[ROW][C]0.2569 (3.8919)[/C][C]178203820.432432[/C][/ROW]
[ROW][C]0.2593 (3.8571)[/C][C]399044204.311284[/C][/ROW]
[ROW][C]0.2616 (3.823)[/C][C]705232210.430877[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]23489711.998524[/C][/ROW]
[ROW][C]0.2662 (3.7565)[/C][C]265632911.727748[/C][/ROW]
[ROW][C]0.2685 (3.7241)[/C][C]217861613.02914[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]34213564.837778[/C][/ROW]
[ROW][C]0.2731 (3.661)[/C][C]132324085.624491[/C][/ROW]
[ROW][C]0.2755 (3.6303)[/C][C]361261329.652752[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]617463.953928[/C][/ROW]
[ROW][C]0.2801 (3.5702)[/C][C]257608326.94325[/C][/ROW]
[ROW][C]0.2824 (3.541)[/C][C]220210168.752762[/C][/ROW]
[ROW][C]0.2847 (3.5122)[/C][C]105254560.211173[/C][/ROW]
[ROW][C]0.287 (3.4839)[/C][C]64015759.783598[/C][/ROW]
[ROW][C]0.2894 (3.456)[/C][C]214362514.892953[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]24878989.682362[/C][/ROW]
[ROW][C]0.294 (3.4016)[/C][C]34179844.867024[/C][/ROW]
[ROW][C]0.2963 (3.375)[/C][C]79348112.841395[/C][/ROW]
[ROW][C]0.2986 (3.3488)[/C][C]52575254.688555[/C][/ROW]
[ROW][C]0.3009 (3.3231)[/C][C]90399459.680973[/C][/ROW]
[ROW][C]0.3032 (3.2977)[/C][C]242242023.969843[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]272072872.975049[/C][/ROW]
[ROW][C]0.3079 (3.2481)[/C][C]48857374.679767[/C][/ROW]
[ROW][C]0.3102 (3.2239)[/C][C]42665673.998002[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]90075649.157505[/C][/ROW]
[ROW][C]0.3148 (3.1765)[/C][C]187463923.512803[/C][/ROW]
[ROW][C]0.3171 (3.1533)[/C][C]105620661.81879[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]18101744.664654[/C][/ROW]
[ROW][C]0.3218 (3.1079)[/C][C]70082306.596571[/C][/ROW]
[ROW][C]0.3241 (3.0857)[/C][C]35035827.257198[/C][/ROW]
[ROW][C]0.3264 (3.0638)[/C][C]13359779.356508[/C][/ROW]
[ROW][C]0.3287 (3.0423)[/C][C]593031393.076471[/C][/ROW]
[ROW][C]0.331 (3.021)[/C][C]58505684.017333[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1514026866.28815[/C][/ROW]
[ROW][C]0.3356 (2.9793)[/C][C]212220094.568171[/C][/ROW]
[ROW][C]0.338 (2.9589)[/C][C]55854112.805477[/C][/ROW]
[ROW][C]0.3403 (2.9388)[/C][C]174864877.07869[/C][/ROW]
[ROW][C]0.3426 (2.9189)[/C][C]2030029420.02483[/C][/ROW]
[ROW][C]0.3449 (2.8993)[/C][C]118880660.346516[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]25472915.781127[/C][/ROW]
[ROW][C]0.3495 (2.8609)[/C][C]181581631.140522[/C][/ROW]
[ROW][C]0.3519 (2.8421)[/C][C]792689723.586664[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]75825085.977781[/C][/ROW]
[ROW][C]0.3565 (2.8052)[/C][C]225863587.938567[/C][/ROW]
[ROW][C]0.3588 (2.7871)[/C][C]211892321.522227[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]654012578.881829[/C][/ROW]
[ROW][C]0.3634 (2.7516)[/C][C]203360240.277726[/C][/ROW]
[ROW][C]0.3657 (2.7342)[/C][C]98887149.944192[/C][/ROW]
[ROW][C]0.3681 (2.717)[/C][C]189428659.396033[/C][/ROW]
[ROW][C]0.3704 (2.7)[/C][C]79082956.364097[/C][/ROW]
[ROW][C]0.3727 (2.6832)[/C][C]225066764.384937[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]40947246.284629[/C][/ROW]
[ROW][C]0.3773 (2.6503)[/C][C]184013774.536094[/C][/ROW]
[ROW][C]0.3796 (2.6341)[/C][C]54267242.468199[/C][/ROW]
[ROW][C]0.3819 (2.6182)[/C][C]237625778.528136[/C][/ROW]
[ROW][C]0.3843 (2.6024)[/C][C]35906115.246867[/C][/ROW]
[ROW][C]0.3866 (2.5868)[/C][C]46809355.179661[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]283788430.080426[/C][/ROW]
[ROW][C]0.3912 (2.5562)[/C][C]107356639.994544[/C][/ROW]
[ROW][C]0.3935 (2.5412)[/C][C]246124379.15632[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]244629924.077758[/C][/ROW]
[ROW][C]0.3981 (2.5116)[/C][C]180858780.564013[/C][/ROW]
[ROW][C]0.4005 (2.4971)[/C][C]41047302.009128[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]219873883.950924[/C][/ROW]
[ROW][C]0.4051 (2.4686)[/C][C]560972270.429399[/C][/ROW]
[ROW][C]0.4074 (2.4545)[/C][C]326177526.667441[/C][/ROW]
[ROW][C]0.4097 (2.4407)[/C][C]394621849.800535[/C][/ROW]
[ROW][C]0.412 (2.427)[/C][C]62896476.087756[/C][/ROW]
[ROW][C]0.4144 (2.4134)[/C][C]756028840.7556[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2504771452.03218[/C][/ROW]
[ROW][C]0.419 (2.3867)[/C][C]491972194.947785[/C][/ROW]
[ROW][C]0.4213 (2.3736)[/C][C]254306564.352757[/C][/ROW]
[ROW][C]0.4236 (2.3607)[/C][C]138090338.635781[/C][/ROW]
[ROW][C]0.4259 (2.3478)[/C][C]42726783.909173[/C][/ROW]
[ROW][C]0.4282 (2.3351)[/C][C]29300938.718964[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]230311220.745159[/C][/ROW]
[ROW][C]0.4329 (2.3102)[/C][C]50239743.004604[/C][/ROW]
[ROW][C]0.4352 (2.2979)[/C][C]424651558.14541[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]347850451.416659[/C][/ROW]
[ROW][C]0.4398 (2.2737)[/C][C]78505817.472734[/C][/ROW]
[ROW][C]0.4421 (2.2618)[/C][C]478962296.900991[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]113105800.638638[/C][/ROW]
[ROW][C]0.4468 (2.2383)[/C][C]270233954.350862[/C][/ROW]
[ROW][C]0.4491 (2.2268)[/C][C]267402510.657197[/C][/ROW]
[ROW][C]0.4514 (2.2154)[/C][C]61335540.778908[/C][/ROW]
[ROW][C]0.4537 (2.2041)[/C][C]3967604.022634[/C][/ROW]
[ROW][C]0.456 (2.1929)[/C][C]193881856.261008[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1708278.912962[/C][/ROW]
[ROW][C]0.4606 (2.1709)[/C][C]87572601.485278[/C][/ROW]
[ROW][C]0.463 (2.16)[/C][C]145210705.048061[/C][/ROW]
[ROW][C]0.4653 (2.1493)[/C][C]32370111.47756[/C][/ROW]
[ROW][C]0.4676 (2.1386)[/C][C]78349308.970139[/C][/ROW]
[ROW][C]0.4699 (2.1281)[/C][C]85868292.220096[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]97011506.320596[/C][/ROW]
[ROW][C]0.4745 (2.1073)[/C][C]70020475.189536[/C][/ROW]
[ROW][C]0.4769 (2.0971)[/C][C]122254325.554645[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]503607529.663344[/C][/ROW]
[ROW][C]0.4815 (2.0769)[/C][C]149015991.230981[/C][/ROW]
[ROW][C]0.4838 (2.067)[/C][C]19274885.974895[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]45494194.760508[/C][/ROW]
[ROW][C]0.4884 (2.0474)[/C][C]51563091.722707[/C][/ROW]
[ROW][C]0.4907 (2.0377)[/C][C]18883877.545018[/C][/ROW]
[ROW][C]0.4931 (2.0282)[/C][C]172434689.281527[/C][/ROW]
[ROW][C]0.4954 (2.0187)[/C][C]262353593.462067[/C][/ROW]
[ROW][C]0.4977 (2.0093)[/C][C]937467863.732651[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]259047946.858262[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316162&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316162&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
Parameter	Value
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
0.0023 (432)	127025391824.035
0.0046 (216)	73460041505.3187
0.0069 (144)	61612288216.9135
0.0093 (108)	29632164264.2419
0.0116 (86.4)	1080966815.4089
0.0139 (72)	317977280.619208
0.0162 (61.7143)	3176462010.76188
0.0185 (54)	583976317.457577
0.0208 (48)	579320008.180758
0.0231 (43.2)	1675463366.55163
0.0255 (39.2727)	1110566635.5811
0.0278 (36)	1622546359.49341
0.0301 (33.2308)	1301710852.62574
0.0324 (30.8571)	1022978694.18766
0.0347 (28.8)	1272117131.60871
0.037 (27)	817615295.052345
0.0394 (25.4118)	941949958.177312
0.0417 (24)	41865639.71475
0.044 (22.7368)	93580495.064741
0.0463 (21.6)	83351361.529428
0.0486 (20.5714)	532848111.920858
0.0509 (19.6364)	148790534.044092
0.0532 (18.7826)	101005922.222011
0.0556 (18)	198628017.271542
0.0579 (17.28)	418487222.679747
0.0602 (16.6154)	153271996.75408
0.0625 (16)	545600771.08391
0.0648 (15.4286)	1381256995.58038
0.0671 (14.8966)	213158781.575092
0.0694 (14.4)	64826285.364622
0.0718 (13.9355)	38140142.088959
0.0741 (13.5)	494992762.414842
0.0764 (13.0909)	69849189.669355
0.0787 (12.7059)	74123053.490486
0.081 (12.3429)	949538600.735174
0.0833 (12)	11571336049.6129
0.0856 (11.6757)	6034624412.01096
0.088 (11.3684)	299648237.90966
0.0903 (11.0769)	885268992.238016
0.0926 (10.8)	278048842.482105
0.0949 (10.5366)	505072516.008564
0.0972 (10.2857)	252210838.396013
0.0995 (10.0465)	336863708.548105
0.1019 (9.8182)	34594719.308065
0.1042 (9.6)	1092011219.97844
0.1065 (9.3913)	374981879.982857
0.1088 (9.1915)	871982413.3207
0.1111 (9)	211724577.816949
0.1134 (8.8163)	51341411.153308
0.1157 (8.64)	215539139.867195
0.1181 (8.4706)	19538655.536039
0.1204 (8.3077)	259789706.672972
0.1227 (8.1509)	4498923.605699
0.125 (8)	141259776.527327
0.1273 (7.8545)	33699748.539012
0.1296 (7.7143)	156952691.818262
0.1319 (7.5789)	30610132.985598
0.1343 (7.4483)	173444317.434149
0.1366 (7.322)	111937915.435291
0.1389 (7.2)	39963491.639871
0.1412 (7.082)	142388108.154233
0.1435 (6.9677)	214580985.832111
0.1458 (6.8571)	383908417.988932
0.1481 (6.75)	353231167.71988
0.1505 (6.6462)	138700528.847621
0.1528 (6.5455)	221594046.285191
0.1551 (6.4478)	118515168.714265
0.1574 (6.3529)	248160667.215484
0.1597 (6.2609)	46895962.316118
0.162 (6.1714)	367011165.601127
0.1644 (6.0845)	109050947.283699
0.1667 (6)	681978340.941401
0.169 (5.9178)	737552112.636454
0.1713 (5.8378)	68856769.232286
0.1736 (5.76)	88379000.504764
0.1759 (5.6842)	55223627.001429
0.1782 (5.6104)	68752087.292971
0.1806 (5.5385)	65993940.357392
0.1829 (5.4684)	15029467.611757
0.1852 (5.4)	338995750.72671
0.1875 (5.3333)	95753279.555695
0.1898 (5.2683)	33240222.658496
0.1921 (5.2048)	111146542.427409
0.1944 (5.1429)	185178777.15991
0.1968 (5.0824)	261524874.263263
0.1991 (5.0233)	53631522.708857
0.2014 (4.9655)	37392420.939455
0.2037 (4.9091)	21144910.715742
0.206 (4.8539)	160749703.249412
0.2083 (4.8)	541344362.701055
0.2106 (4.7473)	243245640.285704
0.213 (4.6957)	144621590.277018
0.2153 (4.6452)	23932345.805999
0.2176 (4.5957)	88027455.879206
0.2199 (4.5474)	50046480.011429
0.2222 (4.5)	13357490.727783
0.2245 (4.4536)	176220835.939555
0.2269 (4.4082)	146306097.095641
0.2292 (4.3636)	49816895.519363
0.2315 (4.32)	77562839.709217
0.2338 (4.2772)	159617107.051515
0.2361 (4.2353)	201380008.51012
0.2384 (4.1942)	31200259.808022
0.2407 (4.1538)	108369093.388755
0.2431 (4.1143)	55783883.965197
0.2454 (4.0755)	340912844.427454
0.2477 (4.0374)	317096828.241526
0.25 (4)	1003201181.984
0.2523 (3.9633)	391066482.074061
0.2546 (3.9273)	163355105.096708
0.2569 (3.8919)	178203820.432432
0.2593 (3.8571)	399044204.311284
0.2616 (3.823)	705232210.430877
0.2639 (3.7895)	23489711.998524
0.2662 (3.7565)	265632911.727748
0.2685 (3.7241)	217861613.02914
0.2708 (3.6923)	34213564.837778
0.2731 (3.661)	132324085.624491
0.2755 (3.6303)	361261329.652752
0.2778 (3.6)	617463.953928
0.2801 (3.5702)	257608326.94325
0.2824 (3.541)	220210168.752762
0.2847 (3.5122)	105254560.211173
0.287 (3.4839)	64015759.783598
0.2894 (3.456)	214362514.892953
0.2917 (3.4286)	24878989.682362
0.294 (3.4016)	34179844.867024
0.2963 (3.375)	79348112.841395
0.2986 (3.3488)	52575254.688555
0.3009 (3.3231)	90399459.680973
0.3032 (3.2977)	242242023.969843
0.3056 (3.2727)	272072872.975049
0.3079 (3.2481)	48857374.679767
0.3102 (3.2239)	42665673.998002
0.3125 (3.2)	90075649.157505
0.3148 (3.1765)	187463923.512803
0.3171 (3.1533)	105620661.81879
0.3194 (3.1304)	18101744.664654
0.3218 (3.1079)	70082306.596571
0.3241 (3.0857)	35035827.257198
0.3264 (3.0638)	13359779.356508
0.3287 (3.0423)	593031393.076471
0.331 (3.021)	58505684.017333
0.3333 (3)	1514026866.28815
0.3356 (2.9793)	212220094.568171
0.338 (2.9589)	55854112.805477
0.3403 (2.9388)	174864877.07869
0.3426 (2.9189)	2030029420.02483
0.3449 (2.8993)	118880660.346516
0.3472 (2.88)	25472915.781127
0.3495 (2.8609)	181581631.140522
0.3519 (2.8421)	792689723.586664
0.3542 (2.8235)	75825085.977781
0.3565 (2.8052)	225863587.938567
0.3588 (2.7871)	211892321.522227
0.3611 (2.7692)	654012578.881829
0.3634 (2.7516)	203360240.277726
0.3657 (2.7342)	98887149.944192
0.3681 (2.717)	189428659.396033
0.3704 (2.7)	79082956.364097
0.3727 (2.6832)	225066764.384937
0.375 (2.6667)	40947246.284629
0.3773 (2.6503)	184013774.536094
0.3796 (2.6341)	54267242.468199
0.3819 (2.6182)	237625778.528136
0.3843 (2.6024)	35906115.246867
0.3866 (2.5868)	46809355.179661
0.3889 (2.5714)	283788430.080426
0.3912 (2.5562)	107356639.994544
0.3935 (2.5412)	246124379.15632
0.3958 (2.5263)	244629924.077758
0.3981 (2.5116)	180858780.564013
0.4005 (2.4971)	41047302.009128
0.4028 (2.4828)	219873883.950924
0.4051 (2.4686)	560972270.429399
0.4074 (2.4545)	326177526.667441
0.4097 (2.4407)	394621849.800535
0.412 (2.427)	62896476.087756
0.4144 (2.4134)	756028840.7556
0.4167 (2.4)	2504771452.03218
0.419 (2.3867)	491972194.947785
0.4213 (2.3736)	254306564.352757
0.4236 (2.3607)	138090338.635781
0.4259 (2.3478)	42726783.909173
0.4282 (2.3351)	29300938.718964
0.4306 (2.3226)	230311220.745159
0.4329 (2.3102)	50239743.004604
0.4352 (2.2979)	424651558.14541
0.4375 (2.2857)	347850451.416659
0.4398 (2.2737)	78505817.472734
0.4421 (2.2618)	478962296.900991
0.4444 (2.25)	113105800.638638
0.4468 (2.2383)	270233954.350862
0.4491 (2.2268)	267402510.657197
0.4514 (2.2154)	61335540.778908
0.4537 (2.2041)	3967604.022634
0.456 (2.1929)	193881856.261008
0.4583 (2.1818)	1708278.912962
0.4606 (2.1709)	87572601.485278
0.463 (2.16)	145210705.048061
0.4653 (2.1493)	32370111.47756
0.4676 (2.1386)	78349308.970139
0.4699 (2.1281)	85868292.220096
0.4722 (2.1176)	97011506.320596
0.4745 (2.1073)	70020475.189536
0.4769 (2.0971)	122254325.554645
0.4792 (2.087)	503607529.663344
0.4815 (2.0769)	149015991.230981
0.4838 (2.067)	19274885.974895
0.4861 (2.0571)	45494194.760508
0.4884 (2.0474)	51563091.722707
0.4907 (2.0377)	18883877.545018
0.4931 (2.0282)	172434689.281527
0.4954 (2.0187)	262353593.462067
0.4977 (2.0093)	937467863.732651
0.5 (2)	259047946.858262

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code