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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 computationWed, 14 Dec 2011 03:58:04 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t1323853095tttu0rzxh7kvp8e.htm/, Retrieved Wed, 01 May 2024 17:34:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154809, Retrieved Wed, 01 May 2024 17:34:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2011-12-14 08:58:04] [bbaf0bbad09b34135f8973992e5d67ea] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
52.61
65.04
67.54
63.58
57.35
54.93
54.30
58.89
65.95
82.65
100.08
100.68
97.53
92.29
85.08
91.61
93.61
90.40
99.31
107.71
106.18
98.80
99.58
98.85
92.69
91.82
92.63
98.41
94.56
85.78
84.59
83.49
84.68
80.12
84.37
85.94
87.07
84.52
83.13
75.95
70.12
78.10
83.06
87.92
90.21
89.95
97.08
102.08
100.64
97.73
97.61
100.32
102.04
107.80
111.51
110.18
110.08
117.40
119.82
118.79
113.18
122.76
120.43
129.16
132.48
135.68
141.49
122.40
137.06
144.84
154.64
148.04
152.76
172.00
169.03
179.68
190.38
233.23
231.45
244.87
299.12
385.01
381.48
321.56
317.27
323.09
392.72
372.37
386.52
412.83
404.91
406.73
392.41
363.31
357.95
375.10
369.74
386.14
353.40
346.87
362.53
349.87
347.03
332.94
327.48
327.92
308.91
285.71
318.81
284.76
301.04
315.16
388.34
383.37
416.77
423.24
429.90
486.07
394.41
410.93
430.88
447.29
431.65
456.53
452.93
440.90
416.46
451.49
432.00
436.19
428.55
421.40
425.18
437.24
431.92
412.65
419.37
436.40
421.37
423.66
402.45
402.82
400.46
425.73
417.93
403.43
404.96
393.64
399.98
375.93
366.57
353.90
347.51
364.10
328.64
348.01
329.63
350.96
336.16
332.15
349.46
383.64
369.82
345.50
337.80
334.76
338.02
346.74
371.84
375.90
373.31
391.91
374.28
384.69
372.16
371.97
351.76
352.89
330.48
347.70
345.58
360.76
364.40
374.62
369.07
341.80
337.87
336.58
332.66
335.74
321.64
329.38
321.84
324.56
330.90
310.91
318.07
312.36
315.19
332.89
310.67
321.26
316.15
283.87
280.65
280.21
265.93
267.80
278.03
291.86
262.61
264.80
265.67
251.05
256.11
279.75
282.52
288.89
308.46
292.89
280.79
273.61
276.67
277.92
250.28
264.70
268.95
261.69
257.99
251.28
243.14
246.81
224.50
241.25
254.97
261.39
266.67
264.28
270.45
274.97
281.13
300.65
321.12
354.79
318.97
298.71
318.85
327.89
348.19
335.18
332.98
331.04
317.52
325.31
317.59
313.37
313.00
314.77
298.37
311.10
308.79
297.30
293.58
291.35
291.51
289.94
287.07
280.74
294.95
288.98
285.63
294.55
290.67
314.78
306.50
304.48
308.65
307.01
298.59
293.51
294.90
296.14
294.25
291.75
290.49
288.68
310.07
297.45
300.81
301.56
296.89
305.23
298.45
298.75
273.02
266.62
266.06
284.48
275.71
284.19
284.81
267.29
272.95
262.35
246.34
251.03
247.54
254.80
245.08
251.30
261.48
258.85
270.89
257.55
253.08
238.81
241.22
280.75
284.56
289.35
289.56
289.55
305.00
289.22
301.82
293.56
300.59
298.67
311.55
310.08
312.06
309.13
292.31
284.41
290.02
291.52
296.81
315.60
319.63
303.89
300.53
321.84
309.48
307.68
310.53
327.91
343.18
345.48
342.03
349.57
322.50
310.74
318.96
327.53
320.00
320.72
330.86
342.34
322.37
306.86
301.75
307.27
301.30
315.18
342.11
333.18
332.26
332.32
330.00
321.78
318.59
344.78
324.09
322.03
325.32
325.10
335.10
334.66
334.54
341.15
320.47
323.85
328.06
328.93
337.50
335.65
361.05
353.19
352.28
392.53
393.03
420.42
434.91
468.38
466.35
480.93
511.25
508.39
479.80
495.63
487.09
473.06
473.03
487.87
479.28
500.60
502.82
497.13
496.06
489.80
481.66
486.17
492.94
522.45
545.71
533.77
570.26
623.56
639.94
589.13
559.45
569.96
590.43
588.37
565.80
629.69
576.28
641.89
625.70
717.52
749.58
690.29
666.55
689.18
666.24
662.32
665.83
681.23
704.87
783.13
757.97
775.93
812.08
824.40
886.89
984.07
1015.59
897.30
980.37
957.37
968.96
1062.80
1047.67
967.91
1021.58
1014.02
1034.98
1068.80
1038.38
1133.26
1259.55
1207.42
1234.59
1297.03

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time12 seconds
R Server'AstonUniversity' @ aston.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 & 12 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154809&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]12 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154809&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154809&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 time12 seconds
R Server'AstonUniversity' @ aston.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
0.0021 (480)71.327196
0.0042 (240)35.281222
0.0062 (160)56.358516
0.0083 (120)75.323159
0.0104 (96)53.123256
0.0125 (80)228.993132
0.0146 (68.5714)70.565126
0.0167 (60)27.561246
0.0188 (53.3333)926.884182
0.0208 (48)248.692742
0.0229 (43.6364)665.444066
0.025 (40)1621.628504
0.0271 (36.9231)474.382642
0.0292 (34.2857)1607.801313
0.0312 (32)672.451727
0.0333 (30)769.144699
0.0354 (28.2353)1623.079219
0.0375 (26.6667)473.809883
0.0396 (25.2632)3465.037033
0.0417 (24)323.813417
0.0438 (22.8571)295.343308
0.0458 (21.8182)232.700425
0.0479 (20.8696)415.099374
0.05 (20)266.056725
0.0521 (19.2)253.628619
0.0542 (18.4615)292.377207
0.0562 (17.7778)491.559265
0.0583 (17.1429)498.176162
0.0604 (16.5517)694.83
0.0625 (16)96.86096
0.0646 (15.4839)120.489359
0.0667 (15)274.426456
0.0688 (14.5455)140.262265
0.0708 (14.1176)131.568836
0.0729 (13.7143)100.92244
0.075 (13.3333)1.49885
0.0771 (12.973)113.331309
0.0792 (12.6316)29.831094
0.0812 (12.3077)13.450353
0.0833 (12)8.178844
0.0854 (11.7073)32.473355
0.0875 (11.4286)43.299494
0.0896 (11.1628)44.905693
0.0917 (10.9091)170.447814
0.0938 (10.6667)28.053406
0.0958 (10.4348)83.078305
0.0979 (10.2128)177.659103
0.1 (10)135.488181
0.1021 (9.7959)897.534645
0.1042 (9.6)128.890776
0.1062 (9.4118)254.109115
0.1083 (9.2308)2304.984441
0.1104 (9.0566)391.682763
0.1125 (8.8889)729.091049
0.1146 (8.7273)114.481949
0.1167 (8.5714)3386.806023
0.1188 (8.4211)337.290306
0.1208 (8.2759)220.318016
0.1229 (8.1356)2793.921816
0.125 (8)2184.425771
0.1271 (7.8689)657.279782
0.1292 (7.7419)671.446358
0.1312 (7.619)506.966069
0.1333 (7.5)416.0449
0.1354 (7.3846)112.621933
0.1375 (7.2727)1407.964213
0.1396 (7.1642)53.098951
0.1417 (7.0588)89.182216
0.1438 (6.9565)404.824
0.1458 (6.8571)135.207264
0.1479 (6.7606)888.176668
0.15 (6.6667)521.973903
0.1521 (6.5753)741.496087
0.1542 (6.4865)142.432309
0.1562 (6.4)14.691876
0.1583 (6.3158)34.846167
0.1604 (6.2338)118.261269
0.1625 (6.1538)19.241908
0.1646 (6.0759)3.059762
0.1667 (6)8.417213
0.1688 (5.9259)31.65962
0.1708 (5.8537)50.132071
0.1729 (5.7831)134.397671
0.175 (5.7143)290.954081
0.1771 (5.6471)39.278894
0.1792 (5.5814)98.278024
0.1812 (5.5172)586.846345
0.1833 (5.4545)1014.60555
0.1854 (5.3933)317.74362
0.1875 (5.3333)239.278519
0.1896 (5.2747)1554.622786
0.1917 (5.2174)730.861256
0.1938 (5.1613)478.237825
0.1958 (5.1064)2213.528678
0.1979 (5.0526)1743.710164
0.2 (5)2985.159334
0.2021 (4.9485)48.250268
0.2042 (4.898)1258.923076
0.2062 (4.8485)137.158097
0.2083 (4.8)545.097119
0.2104 (4.7525)1255.155574
0.2125 (4.7059)877.283055
0.2146 (4.6602)1246.236341
0.2167 (4.6154)306.459196
0.2188 (4.5714)83.857019
0.2208 (4.5283)226.353762
0.2229 (4.486)1881.847695
0.225 (4.4444)549.242903
0.2271 (4.4037)929.615371
0.2292 (4.3636)2460.660977
0.2312 (4.3243)54.861368
0.2333 (4.2857)72.659858
0.2354 (4.2478)1514.771082
0.2375 (4.2105)15.124073
0.2396 (4.1739)64.907226
0.2417 (4.1379)352.16481
0.2438 (4.1026)23.268315
0.2458 (4.0678)46.03528
0.2479 (4.0336)17.91092
0.25 (4)29.988116
0.2521 (3.9669)64.759438
0.2542 (3.9344)121.902244
0.2562 (3.9024)52.999564
0.2583 (3.871)465.901945
0.2604 (3.84)327.589112
0.2625 (3.8095)383.507692
0.2646 (3.7795)278.247386
0.2667 (3.75)299.786382
0.2688 (3.7209)14.396309
0.2708 (3.6923)714.653493
0.2729 (3.6641)554.612054
0.275 (3.6364)1375.788177
0.2771 (3.609)1211.250864
0.2792 (3.5821)1012.520193
0.2812 (3.5556)1286.666799
0.2833 (3.5294)1324.046283
0.2854 (3.5036)725.215745
0.2875 (3.4783)269.825924
0.2896 (3.4532)763.644089
0.2917 (3.4286)849.784009
0.2938 (3.4043)2703.945545
0.2958 (3.3803)857.214002
0.2979 (3.3566)308.23583
0.3 (3.3333)240.519838
0.3021 (3.3103)418.565522
0.3042 (3.2877)861.690702
0.3062 (3.2653)36.015379
0.3083 (3.2432)2111.611829
0.3104 (3.2215)18.429488
0.3125 (3.2)115.049975
0.3146 (3.1788)377.827594
0.3167 (3.1579)914.513658
0.3188 (3.1373)420.851247
0.3208 (3.1169)519.236977
0.3229 (3.0968)137.716968
0.325 (3.0769)117.176667
0.3271 (3.0573)222.256736
0.3292 (3.038)103.927886
0.3312 (3.0189)56.841907
0.3333 (3)68.965675
0.3354 (2.9814)52.451535
0.3375 (2.963)58.758451
0.3396 (2.9448)18.822696
0.3417 (2.9268)156.134508
0.3438 (2.9091)224.56512
0.3458 (2.8916)129.910062
0.3479 (2.8743)41.188616
0.35 (2.8571)925.068148
0.3521 (2.8402)473.282325
0.3542 (2.8235)639.339279
0.3562 (2.807)977.735289
0.3583 (2.7907)872.279514
0.3604 (2.7746)1096.213733
0.3625 (2.7586)547.151507
0.3646 (2.7429)1537.080437
0.3667 (2.7273)2087.569712
0.3688 (2.7119)198.490903
0.3708 (2.6966)477.480942
0.3729 (2.6816)1142.647674
0.375 (2.6667)460.866608
0.3771 (2.6519)561.976872
0.3792 (2.6374)375.401102
0.3812 (2.623)1899.897529
0.3833 (2.6087)8.478873
0.3854 (2.5946)305.231662
0.3875 (2.5806)465.481404
0.3896 (2.5668)5782.425889
0.3917 (2.5532)570.162903
0.3938 (2.5397)1192.687484
0.3958 (2.5263)429.846621
0.3979 (2.5131)310.310417
0.4 (2.5)287.997192
0.4021 (2.487)72.687486
0.4042 (2.4742)392.804074
0.4062 (2.4615)406.728794
0.4083 (2.449)53.596469
0.4104 (2.4365)45.630149
0.4125 (2.4242)46.260201
0.4146 (2.4121)8.508093
0.4167 (2.4)34.0621
0.4188 (2.3881)69.160414
0.4208 (2.3762)50.423719
0.4229 (2.3645)116.538737
0.425 (2.3529)427.296014
0.4271 (2.3415)21.601532
0.4292 (2.3301)162.475511
0.4312 (2.3188)139.076749
0.4333 (2.3077)706.350286
0.4354 (2.2967)8.105061
0.4375 (2.2857)254.915515
0.4396 (2.2749)2448.697399
0.4417 (2.2642)437.727534
0.4438 (2.2535)971.104402
0.4458 (2.243)1267.684428
0.4479 (2.2326)4398.460068
0.45 (2.2222)3211.635919
0.4521 (2.212)1176.063281
0.4542 (2.2018)3780.453901
0.4562 (2.1918)328.415818
0.4583 (2.1818)286.952971
0.4604 (2.1719)3503.496606
0.4625 (2.1622)1453.414086
0.4646 (2.1525)2764.378095
0.4667 (2.1429)1940.430493
0.4688 (2.1333)157.099105
0.4708 (2.1239)1500.291174
0.4729 (2.1145)716.415196
0.475 (2.1053)151.139035
0.4771 (2.0961)2212.932589
0.4792 (2.087)3.099741
0.4812 (2.0779)448.437537
0.4833 (2.069)436.220974
0.4854 (2.0601)77.996426
0.4875 (2.0513)125.540665
0.4896 (2.0426)193.783622
0.4917 (2.0339)42.114357
0.4938 (2.0253)40.512573
0.4958 (2.0168)89.110186
0.4979 (2.0084)10.476946
0.5 (2)12.879861

\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
0.0021 (480) & 71.327196 \tabularnewline
0.0042 (240) & 35.281222 \tabularnewline
0.0062 (160) & 56.358516 \tabularnewline
0.0083 (120) & 75.323159 \tabularnewline
0.0104 (96) & 53.123256 \tabularnewline
0.0125 (80) & 228.993132 \tabularnewline
0.0146 (68.5714) & 70.565126 \tabularnewline
0.0167 (60) & 27.561246 \tabularnewline
0.0188 (53.3333) & 926.884182 \tabularnewline
0.0208 (48) & 248.692742 \tabularnewline
0.0229 (43.6364) & 665.444066 \tabularnewline
0.025 (40) & 1621.628504 \tabularnewline
0.0271 (36.9231) & 474.382642 \tabularnewline
0.0292 (34.2857) & 1607.801313 \tabularnewline
0.0312 (32) & 672.451727 \tabularnewline
0.0333 (30) & 769.144699 \tabularnewline
0.0354 (28.2353) & 1623.079219 \tabularnewline
0.0375 (26.6667) & 473.809883 \tabularnewline
0.0396 (25.2632) & 3465.037033 \tabularnewline
0.0417 (24) & 323.813417 \tabularnewline
0.0438 (22.8571) & 295.343308 \tabularnewline
0.0458 (21.8182) & 232.700425 \tabularnewline
0.0479 (20.8696) & 415.099374 \tabularnewline
0.05 (20) & 266.056725 \tabularnewline
0.0521 (19.2) & 253.628619 \tabularnewline
0.0542 (18.4615) & 292.377207 \tabularnewline
0.0562 (17.7778) & 491.559265 \tabularnewline
0.0583 (17.1429) & 498.176162 \tabularnewline
0.0604 (16.5517) & 694.83 \tabularnewline
0.0625 (16) & 96.86096 \tabularnewline
0.0646 (15.4839) & 120.489359 \tabularnewline
0.0667 (15) & 274.426456 \tabularnewline
0.0688 (14.5455) & 140.262265 \tabularnewline
0.0708 (14.1176) & 131.568836 \tabularnewline
0.0729 (13.7143) & 100.92244 \tabularnewline
0.075 (13.3333) & 1.49885 \tabularnewline
0.0771 (12.973) & 113.331309 \tabularnewline
0.0792 (12.6316) & 29.831094 \tabularnewline
0.0812 (12.3077) & 13.450353 \tabularnewline
0.0833 (12) & 8.178844 \tabularnewline
0.0854 (11.7073) & 32.473355 \tabularnewline
0.0875 (11.4286) & 43.299494 \tabularnewline
0.0896 (11.1628) & 44.905693 \tabularnewline
0.0917 (10.9091) & 170.447814 \tabularnewline
0.0938 (10.6667) & 28.053406 \tabularnewline
0.0958 (10.4348) & 83.078305 \tabularnewline
0.0979 (10.2128) & 177.659103 \tabularnewline
0.1 (10) & 135.488181 \tabularnewline
0.1021 (9.7959) & 897.534645 \tabularnewline
0.1042 (9.6) & 128.890776 \tabularnewline
0.1062 (9.4118) & 254.109115 \tabularnewline
0.1083 (9.2308) & 2304.984441 \tabularnewline
0.1104 (9.0566) & 391.682763 \tabularnewline
0.1125 (8.8889) & 729.091049 \tabularnewline
0.1146 (8.7273) & 114.481949 \tabularnewline
0.1167 (8.5714) & 3386.806023 \tabularnewline
0.1188 (8.4211) & 337.290306 \tabularnewline
0.1208 (8.2759) & 220.318016 \tabularnewline
0.1229 (8.1356) & 2793.921816 \tabularnewline
0.125 (8) & 2184.425771 \tabularnewline
0.1271 (7.8689) & 657.279782 \tabularnewline
0.1292 (7.7419) & 671.446358 \tabularnewline
0.1312 (7.619) & 506.966069 \tabularnewline
0.1333 (7.5) & 416.0449 \tabularnewline
0.1354 (7.3846) & 112.621933 \tabularnewline
0.1375 (7.2727) & 1407.964213 \tabularnewline
0.1396 (7.1642) & 53.098951 \tabularnewline
0.1417 (7.0588) & 89.182216 \tabularnewline
0.1438 (6.9565) & 404.824 \tabularnewline
0.1458 (6.8571) & 135.207264 \tabularnewline
0.1479 (6.7606) & 888.176668 \tabularnewline
0.15 (6.6667) & 521.973903 \tabularnewline
0.1521 (6.5753) & 741.496087 \tabularnewline
0.1542 (6.4865) & 142.432309 \tabularnewline
0.1562 (6.4) & 14.691876 \tabularnewline
0.1583 (6.3158) & 34.846167 \tabularnewline
0.1604 (6.2338) & 118.261269 \tabularnewline
0.1625 (6.1538) & 19.241908 \tabularnewline
0.1646 (6.0759) & 3.059762 \tabularnewline
0.1667 (6) & 8.417213 \tabularnewline
0.1688 (5.9259) & 31.65962 \tabularnewline
0.1708 (5.8537) & 50.132071 \tabularnewline
0.1729 (5.7831) & 134.397671 \tabularnewline
0.175 (5.7143) & 290.954081 \tabularnewline
0.1771 (5.6471) & 39.278894 \tabularnewline
0.1792 (5.5814) & 98.278024 \tabularnewline
0.1812 (5.5172) & 586.846345 \tabularnewline
0.1833 (5.4545) & 1014.60555 \tabularnewline
0.1854 (5.3933) & 317.74362 \tabularnewline
0.1875 (5.3333) & 239.278519 \tabularnewline
0.1896 (5.2747) & 1554.622786 \tabularnewline
0.1917 (5.2174) & 730.861256 \tabularnewline
0.1938 (5.1613) & 478.237825 \tabularnewline
0.1958 (5.1064) & 2213.528678 \tabularnewline
0.1979 (5.0526) & 1743.710164 \tabularnewline
0.2 (5) & 2985.159334 \tabularnewline
0.2021 (4.9485) & 48.250268 \tabularnewline
0.2042 (4.898) & 1258.923076 \tabularnewline
0.2062 (4.8485) & 137.158097 \tabularnewline
0.2083 (4.8) & 545.097119 \tabularnewline
0.2104 (4.7525) & 1255.155574 \tabularnewline
0.2125 (4.7059) & 877.283055 \tabularnewline
0.2146 (4.6602) & 1246.236341 \tabularnewline
0.2167 (4.6154) & 306.459196 \tabularnewline
0.2188 (4.5714) & 83.857019 \tabularnewline
0.2208 (4.5283) & 226.353762 \tabularnewline
0.2229 (4.486) & 1881.847695 \tabularnewline
0.225 (4.4444) & 549.242903 \tabularnewline
0.2271 (4.4037) & 929.615371 \tabularnewline
0.2292 (4.3636) & 2460.660977 \tabularnewline
0.2312 (4.3243) & 54.861368 \tabularnewline
0.2333 (4.2857) & 72.659858 \tabularnewline
0.2354 (4.2478) & 1514.771082 \tabularnewline
0.2375 (4.2105) & 15.124073 \tabularnewline
0.2396 (4.1739) & 64.907226 \tabularnewline
0.2417 (4.1379) & 352.16481 \tabularnewline
0.2438 (4.1026) & 23.268315 \tabularnewline
0.2458 (4.0678) & 46.03528 \tabularnewline
0.2479 (4.0336) & 17.91092 \tabularnewline
0.25 (4) & 29.988116 \tabularnewline
0.2521 (3.9669) & 64.759438 \tabularnewline
0.2542 (3.9344) & 121.902244 \tabularnewline
0.2562 (3.9024) & 52.999564 \tabularnewline
0.2583 (3.871) & 465.901945 \tabularnewline
0.2604 (3.84) & 327.589112 \tabularnewline
0.2625 (3.8095) & 383.507692 \tabularnewline
0.2646 (3.7795) & 278.247386 \tabularnewline
0.2667 (3.75) & 299.786382 \tabularnewline
0.2688 (3.7209) & 14.396309 \tabularnewline
0.2708 (3.6923) & 714.653493 \tabularnewline
0.2729 (3.6641) & 554.612054 \tabularnewline
0.275 (3.6364) & 1375.788177 \tabularnewline
0.2771 (3.609) & 1211.250864 \tabularnewline
0.2792 (3.5821) & 1012.520193 \tabularnewline
0.2812 (3.5556) & 1286.666799 \tabularnewline
0.2833 (3.5294) & 1324.046283 \tabularnewline
0.2854 (3.5036) & 725.215745 \tabularnewline
0.2875 (3.4783) & 269.825924 \tabularnewline
0.2896 (3.4532) & 763.644089 \tabularnewline
0.2917 (3.4286) & 849.784009 \tabularnewline
0.2938 (3.4043) & 2703.945545 \tabularnewline
0.2958 (3.3803) & 857.214002 \tabularnewline
0.2979 (3.3566) & 308.23583 \tabularnewline
0.3 (3.3333) & 240.519838 \tabularnewline
0.3021 (3.3103) & 418.565522 \tabularnewline
0.3042 (3.2877) & 861.690702 \tabularnewline
0.3062 (3.2653) & 36.015379 \tabularnewline
0.3083 (3.2432) & 2111.611829 \tabularnewline
0.3104 (3.2215) & 18.429488 \tabularnewline
0.3125 (3.2) & 115.049975 \tabularnewline
0.3146 (3.1788) & 377.827594 \tabularnewline
0.3167 (3.1579) & 914.513658 \tabularnewline
0.3188 (3.1373) & 420.851247 \tabularnewline
0.3208 (3.1169) & 519.236977 \tabularnewline
0.3229 (3.0968) & 137.716968 \tabularnewline
0.325 (3.0769) & 117.176667 \tabularnewline
0.3271 (3.0573) & 222.256736 \tabularnewline
0.3292 (3.038) & 103.927886 \tabularnewline
0.3312 (3.0189) & 56.841907 \tabularnewline
0.3333 (3) & 68.965675 \tabularnewline
0.3354 (2.9814) & 52.451535 \tabularnewline
0.3375 (2.963) & 58.758451 \tabularnewline
0.3396 (2.9448) & 18.822696 \tabularnewline
0.3417 (2.9268) & 156.134508 \tabularnewline
0.3438 (2.9091) & 224.56512 \tabularnewline
0.3458 (2.8916) & 129.910062 \tabularnewline
0.3479 (2.8743) & 41.188616 \tabularnewline
0.35 (2.8571) & 925.068148 \tabularnewline
0.3521 (2.8402) & 473.282325 \tabularnewline
0.3542 (2.8235) & 639.339279 \tabularnewline
0.3562 (2.807) & 977.735289 \tabularnewline
0.3583 (2.7907) & 872.279514 \tabularnewline
0.3604 (2.7746) & 1096.213733 \tabularnewline
0.3625 (2.7586) & 547.151507 \tabularnewline
0.3646 (2.7429) & 1537.080437 \tabularnewline
0.3667 (2.7273) & 2087.569712 \tabularnewline
0.3688 (2.7119) & 198.490903 \tabularnewline
0.3708 (2.6966) & 477.480942 \tabularnewline
0.3729 (2.6816) & 1142.647674 \tabularnewline
0.375 (2.6667) & 460.866608 \tabularnewline
0.3771 (2.6519) & 561.976872 \tabularnewline
0.3792 (2.6374) & 375.401102 \tabularnewline
0.3812 (2.623) & 1899.897529 \tabularnewline
0.3833 (2.6087) & 8.478873 \tabularnewline
0.3854 (2.5946) & 305.231662 \tabularnewline
0.3875 (2.5806) & 465.481404 \tabularnewline
0.3896 (2.5668) & 5782.425889 \tabularnewline
0.3917 (2.5532) & 570.162903 \tabularnewline
0.3938 (2.5397) & 1192.687484 \tabularnewline
0.3958 (2.5263) & 429.846621 \tabularnewline
0.3979 (2.5131) & 310.310417 \tabularnewline
0.4 (2.5) & 287.997192 \tabularnewline
0.4021 (2.487) & 72.687486 \tabularnewline
0.4042 (2.4742) & 392.804074 \tabularnewline
0.4062 (2.4615) & 406.728794 \tabularnewline
0.4083 (2.449) & 53.596469 \tabularnewline
0.4104 (2.4365) & 45.630149 \tabularnewline
0.4125 (2.4242) & 46.260201 \tabularnewline
0.4146 (2.4121) & 8.508093 \tabularnewline
0.4167 (2.4) & 34.0621 \tabularnewline
0.4188 (2.3881) & 69.160414 \tabularnewline
0.4208 (2.3762) & 50.423719 \tabularnewline
0.4229 (2.3645) & 116.538737 \tabularnewline
0.425 (2.3529) & 427.296014 \tabularnewline
0.4271 (2.3415) & 21.601532 \tabularnewline
0.4292 (2.3301) & 162.475511 \tabularnewline
0.4312 (2.3188) & 139.076749 \tabularnewline
0.4333 (2.3077) & 706.350286 \tabularnewline
0.4354 (2.2967) & 8.105061 \tabularnewline
0.4375 (2.2857) & 254.915515 \tabularnewline
0.4396 (2.2749) & 2448.697399 \tabularnewline
0.4417 (2.2642) & 437.727534 \tabularnewline
0.4438 (2.2535) & 971.104402 \tabularnewline
0.4458 (2.243) & 1267.684428 \tabularnewline
0.4479 (2.2326) & 4398.460068 \tabularnewline
0.45 (2.2222) & 3211.635919 \tabularnewline
0.4521 (2.212) & 1176.063281 \tabularnewline
0.4542 (2.2018) & 3780.453901 \tabularnewline
0.4562 (2.1918) & 328.415818 \tabularnewline
0.4583 (2.1818) & 286.952971 \tabularnewline
0.4604 (2.1719) & 3503.496606 \tabularnewline
0.4625 (2.1622) & 1453.414086 \tabularnewline
0.4646 (2.1525) & 2764.378095 \tabularnewline
0.4667 (2.1429) & 1940.430493 \tabularnewline
0.4688 (2.1333) & 157.099105 \tabularnewline
0.4708 (2.1239) & 1500.291174 \tabularnewline
0.4729 (2.1145) & 716.415196 \tabularnewline
0.475 (2.1053) & 151.139035 \tabularnewline
0.4771 (2.0961) & 2212.932589 \tabularnewline
0.4792 (2.087) & 3.099741 \tabularnewline
0.4812 (2.0779) & 448.437537 \tabularnewline
0.4833 (2.069) & 436.220974 \tabularnewline
0.4854 (2.0601) & 77.996426 \tabularnewline
0.4875 (2.0513) & 125.540665 \tabularnewline
0.4896 (2.0426) & 193.783622 \tabularnewline
0.4917 (2.0339) & 42.114357 \tabularnewline
0.4938 (2.0253) & 40.512573 \tabularnewline
0.4958 (2.0168) & 89.110186 \tabularnewline
0.4979 (2.0084) & 10.476946 \tabularnewline
0.5 (2) & 12.879861 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154809&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]0.0021 (480)[/C][C]71.327196[/C][/ROW]
[ROW][C]0.0042 (240)[/C][C]35.281222[/C][/ROW]
[ROW][C]0.0062 (160)[/C][C]56.358516[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]75.323159[/C][/ROW]
[ROW][C]0.0104 (96)[/C][C]53.123256[/C][/ROW]
[ROW][C]0.0125 (80)[/C][C]228.993132[/C][/ROW]
[ROW][C]0.0146 (68.5714)[/C][C]70.565126[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]27.561246[/C][/ROW]
[ROW][C]0.0188 (53.3333)[/C][C]926.884182[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]248.692742[/C][/ROW]
[ROW][C]0.0229 (43.6364)[/C][C]665.444066[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]1621.628504[/C][/ROW]
[ROW][C]0.0271 (36.9231)[/C][C]474.382642[/C][/ROW]
[ROW][C]0.0292 (34.2857)[/C][C]1607.801313[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]672.451727[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]769.144699[/C][/ROW]
[ROW][C]0.0354 (28.2353)[/C][C]1623.079219[/C][/ROW]
[ROW][C]0.0375 (26.6667)[/C][C]473.809883[/C][/ROW]
[ROW][C]0.0396 (25.2632)[/C][C]3465.037033[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]323.813417[/C][/ROW]
[ROW][C]0.0438 (22.8571)[/C][C]295.343308[/C][/ROW]
[ROW][C]0.0458 (21.8182)[/C][C]232.700425[/C][/ROW]
[ROW][C]0.0479 (20.8696)[/C][C]415.099374[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]266.056725[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]253.628619[/C][/ROW]
[ROW][C]0.0542 (18.4615)[/C][C]292.377207[/C][/ROW]
[ROW][C]0.0562 (17.7778)[/C][C]491.559265[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]498.176162[/C][/ROW]
[ROW][C]0.0604 (16.5517)[/C][C]694.83[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]96.86096[/C][/ROW]
[ROW][C]0.0646 (15.4839)[/C][C]120.489359[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]274.426456[/C][/ROW]
[ROW][C]0.0688 (14.5455)[/C][C]140.262265[/C][/ROW]
[ROW][C]0.0708 (14.1176)[/C][C]131.568836[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]100.92244[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]1.49885[/C][/ROW]
[ROW][C]0.0771 (12.973)[/C][C]113.331309[/C][/ROW]
[ROW][C]0.0792 (12.6316)[/C][C]29.831094[/C][/ROW]
[ROW][C]0.0812 (12.3077)[/C][C]13.450353[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]8.178844[/C][/ROW]
[ROW][C]0.0854 (11.7073)[/C][C]32.473355[/C][/ROW]
[ROW][C]0.0875 (11.4286)[/C][C]43.299494[/C][/ROW]
[ROW][C]0.0896 (11.1628)[/C][C]44.905693[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]170.447814[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]28.053406[/C][/ROW]
[ROW][C]0.0958 (10.4348)[/C][C]83.078305[/C][/ROW]
[ROW][C]0.0979 (10.2128)[/C][C]177.659103[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]135.488181[/C][/ROW]
[ROW][C]0.1021 (9.7959)[/C][C]897.534645[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]128.890776[/C][/ROW]
[ROW][C]0.1062 (9.4118)[/C][C]254.109115[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]2304.984441[/C][/ROW]
[ROW][C]0.1104 (9.0566)[/C][C]391.682763[/C][/ROW]
[ROW][C]0.1125 (8.8889)[/C][C]729.091049[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]114.481949[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]3386.806023[/C][/ROW]
[ROW][C]0.1188 (8.4211)[/C][C]337.290306[/C][/ROW]
[ROW][C]0.1208 (8.2759)[/C][C]220.318016[/C][/ROW]
[ROW][C]0.1229 (8.1356)[/C][C]2793.921816[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]2184.425771[/C][/ROW]
[ROW][C]0.1271 (7.8689)[/C][C]657.279782[/C][/ROW]
[ROW][C]0.1292 (7.7419)[/C][C]671.446358[/C][/ROW]
[ROW][C]0.1312 (7.619)[/C][C]506.966069[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]416.0449[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]112.621933[/C][/ROW]
[ROW][C]0.1375 (7.2727)[/C][C]1407.964213[/C][/ROW]
[ROW][C]0.1396 (7.1642)[/C][C]53.098951[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]89.182216[/C][/ROW]
[ROW][C]0.1438 (6.9565)[/C][C]404.824[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]135.207264[/C][/ROW]
[ROW][C]0.1479 (6.7606)[/C][C]888.176668[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]521.973903[/C][/ROW]
[ROW][C]0.1521 (6.5753)[/C][C]741.496087[/C][/ROW]
[ROW][C]0.1542 (6.4865)[/C][C]142.432309[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]14.691876[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]34.846167[/C][/ROW]
[ROW][C]0.1604 (6.2338)[/C][C]118.261269[/C][/ROW]
[ROW][C]0.1625 (6.1538)[/C][C]19.241908[/C][/ROW]
[ROW][C]0.1646 (6.0759)[/C][C]3.059762[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]8.417213[/C][/ROW]
[ROW][C]0.1688 (5.9259)[/C][C]31.65962[/C][/ROW]
[ROW][C]0.1708 (5.8537)[/C][C]50.132071[/C][/ROW]
[ROW][C]0.1729 (5.7831)[/C][C]134.397671[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]290.954081[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]39.278894[/C][/ROW]
[ROW][C]0.1792 (5.5814)[/C][C]98.278024[/C][/ROW]
[ROW][C]0.1812 (5.5172)[/C][C]586.846345[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]1014.60555[/C][/ROW]
[ROW][C]0.1854 (5.3933)[/C][C]317.74362[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]239.278519[/C][/ROW]
[ROW][C]0.1896 (5.2747)[/C][C]1554.622786[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]730.861256[/C][/ROW]
[ROW][C]0.1938 (5.1613)[/C][C]478.237825[/C][/ROW]
[ROW][C]0.1958 (5.1064)[/C][C]2213.528678[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]1743.710164[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]2985.159334[/C][/ROW]
[ROW][C]0.2021 (4.9485)[/C][C]48.250268[/C][/ROW]
[ROW][C]0.2042 (4.898)[/C][C]1258.923076[/C][/ROW]
[ROW][C]0.2062 (4.8485)[/C][C]137.158097[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]545.097119[/C][/ROW]
[ROW][C]0.2104 (4.7525)[/C][C]1255.155574[/C][/ROW]
[ROW][C]0.2125 (4.7059)[/C][C]877.283055[/C][/ROW]
[ROW][C]0.2146 (4.6602)[/C][C]1246.236341[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]306.459196[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]83.857019[/C][/ROW]
[ROW][C]0.2208 (4.5283)[/C][C]226.353762[/C][/ROW]
[ROW][C]0.2229 (4.486)[/C][C]1881.847695[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]549.242903[/C][/ROW]
[ROW][C]0.2271 (4.4037)[/C][C]929.615371[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]2460.660977[/C][/ROW]
[ROW][C]0.2312 (4.3243)[/C][C]54.861368[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]72.659858[/C][/ROW]
[ROW][C]0.2354 (4.2478)[/C][C]1514.771082[/C][/ROW]
[ROW][C]0.2375 (4.2105)[/C][C]15.124073[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]64.907226[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]352.16481[/C][/ROW]
[ROW][C]0.2438 (4.1026)[/C][C]23.268315[/C][/ROW]
[ROW][C]0.2458 (4.0678)[/C][C]46.03528[/C][/ROW]
[ROW][C]0.2479 (4.0336)[/C][C]17.91092[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]29.988116[/C][/ROW]
[ROW][C]0.2521 (3.9669)[/C][C]64.759438[/C][/ROW]
[ROW][C]0.2542 (3.9344)[/C][C]121.902244[/C][/ROW]
[ROW][C]0.2562 (3.9024)[/C][C]52.999564[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]465.901945[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]327.589112[/C][/ROW]
[ROW][C]0.2625 (3.8095)[/C][C]383.507692[/C][/ROW]
[ROW][C]0.2646 (3.7795)[/C][C]278.247386[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]299.786382[/C][/ROW]
[ROW][C]0.2688 (3.7209)[/C][C]14.396309[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]714.653493[/C][/ROW]
[ROW][C]0.2729 (3.6641)[/C][C]554.612054[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]1375.788177[/C][/ROW]
[ROW][C]0.2771 (3.609)[/C][C]1211.250864[/C][/ROW]
[ROW][C]0.2792 (3.5821)[/C][C]1012.520193[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]1286.666799[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]1324.046283[/C][/ROW]
[ROW][C]0.2854 (3.5036)[/C][C]725.215745[/C][/ROW]
[ROW][C]0.2875 (3.4783)[/C][C]269.825924[/C][/ROW]
[ROW][C]0.2896 (3.4532)[/C][C]763.644089[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]849.784009[/C][/ROW]
[ROW][C]0.2938 (3.4043)[/C][C]2703.945545[/C][/ROW]
[ROW][C]0.2958 (3.3803)[/C][C]857.214002[/C][/ROW]
[ROW][C]0.2979 (3.3566)[/C][C]308.23583[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]240.519838[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]418.565522[/C][/ROW]
[ROW][C]0.3042 (3.2877)[/C][C]861.690702[/C][/ROW]
[ROW][C]0.3062 (3.2653)[/C][C]36.015379[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]2111.611829[/C][/ROW]
[ROW][C]0.3104 (3.2215)[/C][C]18.429488[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]115.049975[/C][/ROW]
[ROW][C]0.3146 (3.1788)[/C][C]377.827594[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]914.513658[/C][/ROW]
[ROW][C]0.3188 (3.1373)[/C][C]420.851247[/C][/ROW]
[ROW][C]0.3208 (3.1169)[/C][C]519.236977[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]137.716968[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]117.176667[/C][/ROW]
[ROW][C]0.3271 (3.0573)[/C][C]222.256736[/C][/ROW]
[ROW][C]0.3292 (3.038)[/C][C]103.927886[/C][/ROW]
[ROW][C]0.3312 (3.0189)[/C][C]56.841907[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]68.965675[/C][/ROW]
[ROW][C]0.3354 (2.9814)[/C][C]52.451535[/C][/ROW]
[ROW][C]0.3375 (2.963)[/C][C]58.758451[/C][/ROW]
[ROW][C]0.3396 (2.9448)[/C][C]18.822696[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]156.134508[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]224.56512[/C][/ROW]
[ROW][C]0.3458 (2.8916)[/C][C]129.910062[/C][/ROW]
[ROW][C]0.3479 (2.8743)[/C][C]41.188616[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]925.068148[/C][/ROW]
[ROW][C]0.3521 (2.8402)[/C][C]473.282325[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]639.339279[/C][/ROW]
[ROW][C]0.3562 (2.807)[/C][C]977.735289[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]872.279514[/C][/ROW]
[ROW][C]0.3604 (2.7746)[/C][C]1096.213733[/C][/ROW]
[ROW][C]0.3625 (2.7586)[/C][C]547.151507[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]1537.080437[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]2087.569712[/C][/ROW]
[ROW][C]0.3688 (2.7119)[/C][C]198.490903[/C][/ROW]
[ROW][C]0.3708 (2.6966)[/C][C]477.480942[/C][/ROW]
[ROW][C]0.3729 (2.6816)[/C][C]1142.647674[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]460.866608[/C][/ROW]
[ROW][C]0.3771 (2.6519)[/C][C]561.976872[/C][/ROW]
[ROW][C]0.3792 (2.6374)[/C][C]375.401102[/C][/ROW]
[ROW][C]0.3812 (2.623)[/C][C]1899.897529[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]8.478873[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]305.231662[/C][/ROW]
[ROW][C]0.3875 (2.5806)[/C][C]465.481404[/C][/ROW]
[ROW][C]0.3896 (2.5668)[/C][C]5782.425889[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]570.162903[/C][/ROW]
[ROW][C]0.3938 (2.5397)[/C][C]1192.687484[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]429.846621[/C][/ROW]
[ROW][C]0.3979 (2.5131)[/C][C]310.310417[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]287.997192[/C][/ROW]
[ROW][C]0.4021 (2.487)[/C][C]72.687486[/C][/ROW]
[ROW][C]0.4042 (2.4742)[/C][C]392.804074[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]406.728794[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]53.596469[/C][/ROW]
[ROW][C]0.4104 (2.4365)[/C][C]45.630149[/C][/ROW]
[ROW][C]0.4125 (2.4242)[/C][C]46.260201[/C][/ROW]
[ROW][C]0.4146 (2.4121)[/C][C]8.508093[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]34.0621[/C][/ROW]
[ROW][C]0.4188 (2.3881)[/C][C]69.160414[/C][/ROW]
[ROW][C]0.4208 (2.3762)[/C][C]50.423719[/C][/ROW]
[ROW][C]0.4229 (2.3645)[/C][C]116.538737[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]427.296014[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]21.601532[/C][/ROW]
[ROW][C]0.4292 (2.3301)[/C][C]162.475511[/C][/ROW]
[ROW][C]0.4312 (2.3188)[/C][C]139.076749[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]706.350286[/C][/ROW]
[ROW][C]0.4354 (2.2967)[/C][C]8.105061[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]254.915515[/C][/ROW]
[ROW][C]0.4396 (2.2749)[/C][C]2448.697399[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]437.727534[/C][/ROW]
[ROW][C]0.4438 (2.2535)[/C][C]971.104402[/C][/ROW]
[ROW][C]0.4458 (2.243)[/C][C]1267.684428[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]4398.460068[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]3211.635919[/C][/ROW]
[ROW][C]0.4521 (2.212)[/C][C]1176.063281[/C][/ROW]
[ROW][C]0.4542 (2.2018)[/C][C]3780.453901[/C][/ROW]
[ROW][C]0.4562 (2.1918)[/C][C]328.415818[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]286.952971[/C][/ROW]
[ROW][C]0.4604 (2.1719)[/C][C]3503.496606[/C][/ROW]
[ROW][C]0.4625 (2.1622)[/C][C]1453.414086[/C][/ROW]
[ROW][C]0.4646 (2.1525)[/C][C]2764.378095[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]1940.430493[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]157.099105[/C][/ROW]
[ROW][C]0.4708 (2.1239)[/C][C]1500.291174[/C][/ROW]
[ROW][C]0.4729 (2.1145)[/C][C]716.415196[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]151.139035[/C][/ROW]
[ROW][C]0.4771 (2.0961)[/C][C]2212.932589[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]3.099741[/C][/ROW]
[ROW][C]0.4812 (2.0779)[/C][C]448.437537[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]436.220974[/C][/ROW]
[ROW][C]0.4854 (2.0601)[/C][C]77.996426[/C][/ROW]
[ROW][C]0.4875 (2.0513)[/C][C]125.540665[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]193.783622[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]42.114357[/C][/ROW]
[ROW][C]0.4938 (2.0253)[/C][C]40.512573[/C][/ROW]
[ROW][C]0.4958 (2.0168)[/C][C]89.110186[/C][/ROW]
[ROW][C]0.4979 (2.0084)[/C][C]10.476946[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]12.879861[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154809&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154809&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
0.0021 (480)71.327196
0.0042 (240)35.281222
0.0062 (160)56.358516
0.0083 (120)75.323159
0.0104 (96)53.123256
0.0125 (80)228.993132
0.0146 (68.5714)70.565126
0.0167 (60)27.561246
0.0188 (53.3333)926.884182
0.0208 (48)248.692742
0.0229 (43.6364)665.444066
0.025 (40)1621.628504
0.0271 (36.9231)474.382642
0.0292 (34.2857)1607.801313
0.0312 (32)672.451727
0.0333 (30)769.144699
0.0354 (28.2353)1623.079219
0.0375 (26.6667)473.809883
0.0396 (25.2632)3465.037033
0.0417 (24)323.813417
0.0438 (22.8571)295.343308
0.0458 (21.8182)232.700425
0.0479 (20.8696)415.099374
0.05 (20)266.056725
0.0521 (19.2)253.628619
0.0542 (18.4615)292.377207
0.0562 (17.7778)491.559265
0.0583 (17.1429)498.176162
0.0604 (16.5517)694.83
0.0625 (16)96.86096
0.0646 (15.4839)120.489359
0.0667 (15)274.426456
0.0688 (14.5455)140.262265
0.0708 (14.1176)131.568836
0.0729 (13.7143)100.92244
0.075 (13.3333)1.49885
0.0771 (12.973)113.331309
0.0792 (12.6316)29.831094
0.0812 (12.3077)13.450353
0.0833 (12)8.178844
0.0854 (11.7073)32.473355
0.0875 (11.4286)43.299494
0.0896 (11.1628)44.905693
0.0917 (10.9091)170.447814
0.0938 (10.6667)28.053406
0.0958 (10.4348)83.078305
0.0979 (10.2128)177.659103
0.1 (10)135.488181
0.1021 (9.7959)897.534645
0.1042 (9.6)128.890776
0.1062 (9.4118)254.109115
0.1083 (9.2308)2304.984441
0.1104 (9.0566)391.682763
0.1125 (8.8889)729.091049
0.1146 (8.7273)114.481949
0.1167 (8.5714)3386.806023
0.1188 (8.4211)337.290306
0.1208 (8.2759)220.318016
0.1229 (8.1356)2793.921816
0.125 (8)2184.425771
0.1271 (7.8689)657.279782
0.1292 (7.7419)671.446358
0.1312 (7.619)506.966069
0.1333 (7.5)416.0449
0.1354 (7.3846)112.621933
0.1375 (7.2727)1407.964213
0.1396 (7.1642)53.098951
0.1417 (7.0588)89.182216
0.1438 (6.9565)404.824
0.1458 (6.8571)135.207264
0.1479 (6.7606)888.176668
0.15 (6.6667)521.973903
0.1521 (6.5753)741.496087
0.1542 (6.4865)142.432309
0.1562 (6.4)14.691876
0.1583 (6.3158)34.846167
0.1604 (6.2338)118.261269
0.1625 (6.1538)19.241908
0.1646 (6.0759)3.059762
0.1667 (6)8.417213
0.1688 (5.9259)31.65962
0.1708 (5.8537)50.132071
0.1729 (5.7831)134.397671
0.175 (5.7143)290.954081
0.1771 (5.6471)39.278894
0.1792 (5.5814)98.278024
0.1812 (5.5172)586.846345
0.1833 (5.4545)1014.60555
0.1854 (5.3933)317.74362
0.1875 (5.3333)239.278519
0.1896 (5.2747)1554.622786
0.1917 (5.2174)730.861256
0.1938 (5.1613)478.237825
0.1958 (5.1064)2213.528678
0.1979 (5.0526)1743.710164
0.2 (5)2985.159334
0.2021 (4.9485)48.250268
0.2042 (4.898)1258.923076
0.2062 (4.8485)137.158097
0.2083 (4.8)545.097119
0.2104 (4.7525)1255.155574
0.2125 (4.7059)877.283055
0.2146 (4.6602)1246.236341
0.2167 (4.6154)306.459196
0.2188 (4.5714)83.857019
0.2208 (4.5283)226.353762
0.2229 (4.486)1881.847695
0.225 (4.4444)549.242903
0.2271 (4.4037)929.615371
0.2292 (4.3636)2460.660977
0.2312 (4.3243)54.861368
0.2333 (4.2857)72.659858
0.2354 (4.2478)1514.771082
0.2375 (4.2105)15.124073
0.2396 (4.1739)64.907226
0.2417 (4.1379)352.16481
0.2438 (4.1026)23.268315
0.2458 (4.0678)46.03528
0.2479 (4.0336)17.91092
0.25 (4)29.988116
0.2521 (3.9669)64.759438
0.2542 (3.9344)121.902244
0.2562 (3.9024)52.999564
0.2583 (3.871)465.901945
0.2604 (3.84)327.589112
0.2625 (3.8095)383.507692
0.2646 (3.7795)278.247386
0.2667 (3.75)299.786382
0.2688 (3.7209)14.396309
0.2708 (3.6923)714.653493
0.2729 (3.6641)554.612054
0.275 (3.6364)1375.788177
0.2771 (3.609)1211.250864
0.2792 (3.5821)1012.520193
0.2812 (3.5556)1286.666799
0.2833 (3.5294)1324.046283
0.2854 (3.5036)725.215745
0.2875 (3.4783)269.825924
0.2896 (3.4532)763.644089
0.2917 (3.4286)849.784009
0.2938 (3.4043)2703.945545
0.2958 (3.3803)857.214002
0.2979 (3.3566)308.23583
0.3 (3.3333)240.519838
0.3021 (3.3103)418.565522
0.3042 (3.2877)861.690702
0.3062 (3.2653)36.015379
0.3083 (3.2432)2111.611829
0.3104 (3.2215)18.429488
0.3125 (3.2)115.049975
0.3146 (3.1788)377.827594
0.3167 (3.1579)914.513658
0.3188 (3.1373)420.851247
0.3208 (3.1169)519.236977
0.3229 (3.0968)137.716968
0.325 (3.0769)117.176667
0.3271 (3.0573)222.256736
0.3292 (3.038)103.927886
0.3312 (3.0189)56.841907
0.3333 (3)68.965675
0.3354 (2.9814)52.451535
0.3375 (2.963)58.758451
0.3396 (2.9448)18.822696
0.3417 (2.9268)156.134508
0.3438 (2.9091)224.56512
0.3458 (2.8916)129.910062
0.3479 (2.8743)41.188616
0.35 (2.8571)925.068148
0.3521 (2.8402)473.282325
0.3542 (2.8235)639.339279
0.3562 (2.807)977.735289
0.3583 (2.7907)872.279514
0.3604 (2.7746)1096.213733
0.3625 (2.7586)547.151507
0.3646 (2.7429)1537.080437
0.3667 (2.7273)2087.569712
0.3688 (2.7119)198.490903
0.3708 (2.6966)477.480942
0.3729 (2.6816)1142.647674
0.375 (2.6667)460.866608
0.3771 (2.6519)561.976872
0.3792 (2.6374)375.401102
0.3812 (2.623)1899.897529
0.3833 (2.6087)8.478873
0.3854 (2.5946)305.231662
0.3875 (2.5806)465.481404
0.3896 (2.5668)5782.425889
0.3917 (2.5532)570.162903
0.3938 (2.5397)1192.687484
0.3958 (2.5263)429.846621
0.3979 (2.5131)310.310417
0.4 (2.5)287.997192
0.4021 (2.487)72.687486
0.4042 (2.4742)392.804074
0.4062 (2.4615)406.728794
0.4083 (2.449)53.596469
0.4104 (2.4365)45.630149
0.4125 (2.4242)46.260201
0.4146 (2.4121)8.508093
0.4167 (2.4)34.0621
0.4188 (2.3881)69.160414
0.4208 (2.3762)50.423719
0.4229 (2.3645)116.538737
0.425 (2.3529)427.296014
0.4271 (2.3415)21.601532
0.4292 (2.3301)162.475511
0.4312 (2.3188)139.076749
0.4333 (2.3077)706.350286
0.4354 (2.2967)8.105061
0.4375 (2.2857)254.915515
0.4396 (2.2749)2448.697399
0.4417 (2.2642)437.727534
0.4438 (2.2535)971.104402
0.4458 (2.243)1267.684428
0.4479 (2.2326)4398.460068
0.45 (2.2222)3211.635919
0.4521 (2.212)1176.063281
0.4542 (2.2018)3780.453901
0.4562 (2.1918)328.415818
0.4583 (2.1818)286.952971
0.4604 (2.1719)3503.496606
0.4625 (2.1622)1453.414086
0.4646 (2.1525)2764.378095
0.4667 (2.1429)1940.430493
0.4688 (2.1333)157.099105
0.4708 (2.1239)1500.291174
0.4729 (2.1145)716.415196
0.475 (2.1053)151.139035
0.4771 (2.0961)2212.932589
0.4792 (2.087)3.099741
0.4812 (2.0779)448.437537
0.4833 (2.069)436.220974
0.4854 (2.0601)77.996426
0.4875 (2.0513)125.540665
0.4896 (2.0426)193.783622
0.4917 (2.0339)42.114357
0.4938 (2.0253)40.512573
0.4958 (2.0168)89.110186
0.4979 (2.0084)10.476946
0.5 (2)12.879861


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):
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')