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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 computationSun, 16 Dec 2012 16:45:29 -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/2012/Dec/16/t1355694415b8etlgrb5odwubu.htm/, Retrieved Fri, 26 Apr 2024 02:47:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=200624, Retrieved Fri, 26 Apr 2024 02:47:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2012-12-16 21:45:29] [311e8979fc66fc3b169c8163f1497ef3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1021.3
1039.79
938.12
947.36
956.6
956.6
942.74
951.98
919.63
901.15
887.28
836.45
841.07
836.45
831.83
817.97
771.75
707.05
716.3
725.54
716.3
707.05
716.3
780.99
859.56
961.22
938.12
988.95
910.39
901.15
896.53
910.39
988.95
988.95
965.85
975.09
1002.82
1025.92
1081.38
1164.56
1201.53
1229.26
1275.47
1275.47
1307.82
1252.36
1261.61
1340.17
1414.11
1409.49
1432.59
1520.4
1529.64
1455.7
1427.97
1538.88
1612.82
1635.93
1603.58
1589.72
1557.37
1589.72
1668.28
1635.93
1615.68
1644.69
1622.71
1626.11
1705.55
1841.35
2029.03
2024.21
1952.87
2153.06
2339.29
2502.89
2515.37
2445.68
2491.11
2691.32
2651.8
2593.49
2697.23
2751.63
2713.9
2747.21
2982.32
3063.39
3058.7
3074.38
3341.06
3500.03
392.88
3071.52
2516.41
2350.7
2488.68
2872.65
3220.21
3078.04
3043.98
3134.34
3141.85
3128.01
3241.16
3389.48
3406.36
3449.84
3606.24
3653.99
3607.31
3712.52
3803.47
3806.33
3768.4
3952.06
4134.85
4060.9
3999.88
4004.03
3977.34
3650.08
3708.85
3764.78
3761.86
3802.55
3773.52
3428.7
3194.21
3095.56
3064.85
3022.98
2887.66
3178.86
3438.47
3493.87
3421.89
3390.28
3319.24
3287.84
3222.82
3182.69
3180.21
3116.34
3297.46
3357.48
3386.03
3319.45
3363.59
3303.47
3210.55
3050.27
3010.55
3011.65
3104.98
3087.85
3160.16
3319.22
3432.49
3475.68
3347.48
3388.81
3610.23
3691.45
3587.86
3704.62
3798.75
3956.54
4121.94
4148.56
4100.37
4060.71
4147.86
3926.61
3865.41
3978.57
3851.95
3701.22
3738.65
3766.9
3711.02
3675.22
3560.53
3723.8
3914.27
3870.77
3924.36
3968.89
3982.93
3917.09
3969.18
4149.81
4406.88
423.82
417.72
4527.16
4617.39
4656.23
4579.9
4652.4
4722.95
4845.81
4975.21
5083.64
5378.04
5684.44
5841.87
5857.23
6174.52
6413.17
6780.11
6524.94
6466.7
6495.61
6399.52
6729.98
7060.77
7423.27
8069.17
8650.68
8938.07
9482.08
10225.26
9390.27
8546.11
8073.77
8655.31
9150.1
9775.81
9785.14
9363.44
9304.18
9030.26
8920.8
8606.08
8353.75
8615.63
8128.64
8715.94
8500.8
8142.58
7614.66
7558.95
7820.75
7828.9
7904.59
8140.97
8483.01
8322.68
8268.01
8402.05
8177.78
7950.54
8049.94
7674.13
7666.36
7570.18
7694.45
7810.64
7748.43
7040.64
7077.26
7245.51
7289.12
7486.92
7519.88
7554.84
7780.89
7748.09
7152.25
6484.66
6254.58
5867.32
5544.16
5822.74
5690.63
5564.78
5088.39
4784.22
5332.46
5541.48
5723.92
5736.99
5992.07
6091.43
6158.17
6303.79
6349.71
6802.96
7132.68
7073.29
7264.5
7105.33
7218.71
7225.72
7354.25
7745.46
8070.26
8366.33
8667.51
8854.34
9218.1
9332.9
9358.31
9248.66
9401.2
9652.04
9957.38
10110.63
10169.26
10343.78
10750.21
11337.5
11786.96
12083.04
12007.74
11745.93
11051.51
11445.9
11924.88
12247.63
12690.91
12910.7
13202.12
13654.67
13862.82
13523.93
14211.17
14510.35
14289.23
14111.82
13086.59
13351.54
13747.69
12855.61
12926.93
12121.95
11731.65
11639.51
12163.78
12029.53
11234.18
9852.13
9709.04
9332.75
7108.6
6691.49
6143.05
6379.15
5994.58
5607.94
6046.13
6624.96
6652.54
6696
7315.16
7907.79
8066.35
7939.64
8068.48
8186.33
7975.21
8357.51
8463.38
7937.68
8034.62
8056.61
8176.95
8441.04
8697.39
8665.57
8625.77
8718.42
8822.34
8597.67
8782.05
8661.06
8265.32
8072.58
721.85
7138.6
7351.11
7077
7272.37
7577.84

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200624&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200624&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200624&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)2
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0028 (360)29302.644399
0.0056 (180)35445.728516
0.0083 (120)152196.78072
0.0111 (90)589668.677002
0.0139 (72)586831.951919
0.0167 (60)359299.119378
0.0194 (51.4286)1476909.213206
0.0222 (45)27217.159558
0.025 (40)1423647.932247
0.0278 (36)3789004.691702
0.0306 (32.7273)1396715.095539
0.0333 (30)619752.142821
0.0361 (27.6923)1671219.468708
0.0389 (25.7143)735354.286421
0.0417 (24)331912.029433
0.0444 (22.5)1643916.056339
0.0472 (21.1765)2638700.825014
0.05 (20)906975.483273
0.0528 (18.9474)569802.495497
0.0556 (18)272649.520677
0.0583 (17.1429)1230510.803913
0.0611 (16.3636)404415.265915
0.0639 (15.6522)505470.068455
0.0667 (15)534766.515356
0.0694 (14.4)109373.614128
0.0722 (13.8462)137439.316461
0.075 (13.3333)71154.619955
0.0778 (12.8571)39721.070662
0.0806 (12.4138)10096.270526
0.0833 (12)7242.500834
0.0861 (11.6129)3264.996484
0.0889 (11.25)8937.259509
0.0917 (10.9091)27490.78919
0.0944 (10.5882)30571.502282
0.0972 (10.2857)593282.886902
0.1 (10)601461.335809
0.1028 (9.7297)291547.035942
0.1056 (9.4737)1531304.192968
0.1083 (9.2308)921141.888427
0.1111 (9)660818.82466
0.1139 (8.7805)713282.462514
0.1167 (8.5714)2112271.459391
0.1194 (8.3721)4461452.667988
0.1222 (8.1818)1240320.093236
0.125 (8)1637588.936948
0.1278 (7.8261)7408805.89462
0.1306 (7.6596)5733366.725165
0.1333 (7.5)1410650.108806
0.1361 (7.3469)152574.227609
0.1389 (7.2)1858687.136271
0.1417 (7.0588)226321.66267
0.1444 (6.9231)754639.516755
0.1472 (6.7925)610508.107705
0.15 (6.6667)375370.012939
0.1528 (6.5455)525190.069616
0.1556 (6.4286)80271.144193
0.1583 (6.3158)50094.412575
0.1611 (6.2069)7560.768111
0.1639 (6.1017)710.060067
0.1667 (6)76.579329
0.1694 (5.9016)473.336259
0.1722 (5.8065)576.937441
0.175 (5.7143)8256.216324
0.1778 (5.625)44101.456999
0.1806 (5.5385)411375.879348
0.1833 (5.4545)100955.250815
0.1861 (5.3731)965080.933402
0.1889 (5.2941)3814089.020087
0.1917 (5.2174)1027784.091098
0.1944 (5.1429)4099496.42875
0.1972 (5.0704)6467998.406948
0.2 (5)412482.838598
0.2028 (4.9315)1836667.732357
0.2056 (4.8649)2720829.100279
0.2083 (4.8)7023623.666289
0.2111 (4.7368)4581525.792954
0.2139 (4.6753)2094695.902053
0.2167 (4.6154)10918223.983589
0.2194 (4.557)327476.045537
0.2222 (4.5)1434328.087393
0.225 (4.4444)5665688.422755
0.2278 (4.3902)1597408.223858
0.2306 (4.3373)335210.087297
0.2333 (4.2857)177633.867209
0.2361 (4.2353)788295.584448
0.2389 (4.186)107311.126474
0.2417 (4.1379)5352.730397
0.2444 (4.0909)37585.294131
0.2472 (4.0449)8929.596296
0.25 (4)8737.760638
0.2528 (3.956)8050.25272
0.2556 (3.913)80338.918757
0.2583 (3.871)1835.650047
0.2611 (3.8298)100206.027818
0.2639 (3.7895)609792.737595
0.2667 (3.75)1078174.575362
0.2694 (3.7113)681011.728345
0.2722 (3.6735)450680.553473
0.275 (3.6364)6372868.425929
0.2778 (3.6)3138831.747747
0.2806 (3.5644)892593.182089
0.2833 (3.5294)1711316.431871
0.2861 (3.4951)5829271.611205
0.2889 (3.4615)5511900.134291
0.2917 (3.4286)3546853.786795
0.2944 (3.3962)7364876.828315
0.2972 (3.3645)9017299.517958
0.3 (3.3333)1637200.734543
0.3028 (3.3028)4041673.148881
0.3056 (3.2727)4062616.953611
0.3083 (3.2432)912365.731732
0.3111 (3.2143)186919.958228
0.3139 (3.1858)679054.486557
0.3167 (3.1579)888373.418716
0.3194 (3.1304)8944.842899
0.3222 (3.1034)1884.65591
0.325 (3.0769)103092.709513
0.3278 (3.0508)3605.411741
0.3306 (3.0252)7204.60505
0.3333 (3)4821.578353
0.3361 (2.9752)7817.192972
0.3389 (2.9508)1185.655335
0.3417 (2.9268)57005.971423
0.3444 (2.9032)304068.215919
0.3472 (2.88)365754.982418
0.35 (2.8571)331254.410159
0.3528 (2.8346)98037.453409
0.3556 (2.8125)3820655.170877
0.3583 (2.7907)56672.562923
0.3611 (2.7692)774909.390951
0.3639 (2.7481)10639617.464952
0.3667 (2.7273)1277023.852342
0.3694 (2.7068)851678.887542
0.3722 (2.6866)5171537.324277
0.375 (2.6667)8004315.834484
0.3778 (2.6471)2238176.815605
0.3806 (2.6277)680427.256046
0.3833 (2.6087)6401536.231543
0.3861 (2.5899)1613826.020856
0.3889 (2.5714)393270.258379
0.3917 (2.5532)3159652.070803
0.3944 (2.5352)2041055.520428
0.3972 (2.5175)145081.566304
0.4 (2.5)198858.024694
0.4028 (2.4828)212921.737863
0.4056 (2.4658)194745.570728
0.4083 (2.449)8426.171873
0.4111 (2.4324)3221.64921
0.4139 (2.4161)174.148004
0.4167 (2.4)758.075692
0.4194 (2.3841)2329.211661
0.4222 (2.3684)18057.173827
0.425 (2.3529)10907.970177
0.4278 (2.3377)108279.031752
0.4306 (2.3226)249059.309146
0.4333 (2.3077)690230.202645
0.4361 (2.293)1232550.865317
0.4389 (2.2785)274075.870107
0.4417 (2.2642)3180425.725949
0.4444 (2.25)2005566.006784
0.4472 (2.236)1162414.816169
0.45 (2.2222)2597293.321912
0.4528 (2.2086)2752741.297401
0.4556 (2.1951)3351038.442847
0.4583 (2.1818)1413713.391927
0.4611 (2.1687)1311218.778146
0.4639 (2.1557)3071387.254544
0.4667 (2.1429)1248312.35654
0.4694 (2.1302)1334842.07169
0.4722 (2.1176)673260.101838
0.475 (2.1053)2965554.281826
0.4778 (2.093)57047.601782
0.4806 (2.0809)346228.036868
0.4833 (2.069)433366.888279
0.4861 (2.0571)75127.914704
0.4889 (2.0455)79252.602317
0.4917 (2.0339)11829.234398
0.4944 (2.0225)5409.86155
0.4972 (2.0112)429.464777
0.5 (2)252.626123

\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) & 2 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0028 (360) & 29302.644399 \tabularnewline
0.0056 (180) & 35445.728516 \tabularnewline
0.0083 (120) & 152196.78072 \tabularnewline
0.0111 (90) & 589668.677002 \tabularnewline
0.0139 (72) & 586831.951919 \tabularnewline
0.0167 (60) & 359299.119378 \tabularnewline
0.0194 (51.4286) & 1476909.213206 \tabularnewline
0.0222 (45) & 27217.159558 \tabularnewline
0.025 (40) & 1423647.932247 \tabularnewline
0.0278 (36) & 3789004.691702 \tabularnewline
0.0306 (32.7273) & 1396715.095539 \tabularnewline
0.0333 (30) & 619752.142821 \tabularnewline
0.0361 (27.6923) & 1671219.468708 \tabularnewline
0.0389 (25.7143) & 735354.286421 \tabularnewline
0.0417 (24) & 331912.029433 \tabularnewline
0.0444 (22.5) & 1643916.056339 \tabularnewline
0.0472 (21.1765) & 2638700.825014 \tabularnewline
0.05 (20) & 906975.483273 \tabularnewline
0.0528 (18.9474) & 569802.495497 \tabularnewline
0.0556 (18) & 272649.520677 \tabularnewline
0.0583 (17.1429) & 1230510.803913 \tabularnewline
0.0611 (16.3636) & 404415.265915 \tabularnewline
0.0639 (15.6522) & 505470.068455 \tabularnewline
0.0667 (15) & 534766.515356 \tabularnewline
0.0694 (14.4) & 109373.614128 \tabularnewline
0.0722 (13.8462) & 137439.316461 \tabularnewline
0.075 (13.3333) & 71154.619955 \tabularnewline
0.0778 (12.8571) & 39721.070662 \tabularnewline
0.0806 (12.4138) & 10096.270526 \tabularnewline
0.0833 (12) & 7242.500834 \tabularnewline
0.0861 (11.6129) & 3264.996484 \tabularnewline
0.0889 (11.25) & 8937.259509 \tabularnewline
0.0917 (10.9091) & 27490.78919 \tabularnewline
0.0944 (10.5882) & 30571.502282 \tabularnewline
0.0972 (10.2857) & 593282.886902 \tabularnewline
0.1 (10) & 601461.335809 \tabularnewline
0.1028 (9.7297) & 291547.035942 \tabularnewline
0.1056 (9.4737) & 1531304.192968 \tabularnewline
0.1083 (9.2308) & 921141.888427 \tabularnewline
0.1111 (9) & 660818.82466 \tabularnewline
0.1139 (8.7805) & 713282.462514 \tabularnewline
0.1167 (8.5714) & 2112271.459391 \tabularnewline
0.1194 (8.3721) & 4461452.667988 \tabularnewline
0.1222 (8.1818) & 1240320.093236 \tabularnewline
0.125 (8) & 1637588.936948 \tabularnewline
0.1278 (7.8261) & 7408805.89462 \tabularnewline
0.1306 (7.6596) & 5733366.725165 \tabularnewline
0.1333 (7.5) & 1410650.108806 \tabularnewline
0.1361 (7.3469) & 152574.227609 \tabularnewline
0.1389 (7.2) & 1858687.136271 \tabularnewline
0.1417 (7.0588) & 226321.66267 \tabularnewline
0.1444 (6.9231) & 754639.516755 \tabularnewline
0.1472 (6.7925) & 610508.107705 \tabularnewline
0.15 (6.6667) & 375370.012939 \tabularnewline
0.1528 (6.5455) & 525190.069616 \tabularnewline
0.1556 (6.4286) & 80271.144193 \tabularnewline
0.1583 (6.3158) & 50094.412575 \tabularnewline
0.1611 (6.2069) & 7560.768111 \tabularnewline
0.1639 (6.1017) & 710.060067 \tabularnewline
0.1667 (6) & 76.579329 \tabularnewline
0.1694 (5.9016) & 473.336259 \tabularnewline
0.1722 (5.8065) & 576.937441 \tabularnewline
0.175 (5.7143) & 8256.216324 \tabularnewline
0.1778 (5.625) & 44101.456999 \tabularnewline
0.1806 (5.5385) & 411375.879348 \tabularnewline
0.1833 (5.4545) & 100955.250815 \tabularnewline
0.1861 (5.3731) & 965080.933402 \tabularnewline
0.1889 (5.2941) & 3814089.020087 \tabularnewline
0.1917 (5.2174) & 1027784.091098 \tabularnewline
0.1944 (5.1429) & 4099496.42875 \tabularnewline
0.1972 (5.0704) & 6467998.406948 \tabularnewline
0.2 (5) & 412482.838598 \tabularnewline
0.2028 (4.9315) & 1836667.732357 \tabularnewline
0.2056 (4.8649) & 2720829.100279 \tabularnewline
0.2083 (4.8) & 7023623.666289 \tabularnewline
0.2111 (4.7368) & 4581525.792954 \tabularnewline
0.2139 (4.6753) & 2094695.902053 \tabularnewline
0.2167 (4.6154) & 10918223.983589 \tabularnewline
0.2194 (4.557) & 327476.045537 \tabularnewline
0.2222 (4.5) & 1434328.087393 \tabularnewline
0.225 (4.4444) & 5665688.422755 \tabularnewline
0.2278 (4.3902) & 1597408.223858 \tabularnewline
0.2306 (4.3373) & 335210.087297 \tabularnewline
0.2333 (4.2857) & 177633.867209 \tabularnewline
0.2361 (4.2353) & 788295.584448 \tabularnewline
0.2389 (4.186) & 107311.126474 \tabularnewline
0.2417 (4.1379) & 5352.730397 \tabularnewline
0.2444 (4.0909) & 37585.294131 \tabularnewline
0.2472 (4.0449) & 8929.596296 \tabularnewline
0.25 (4) & 8737.760638 \tabularnewline
0.2528 (3.956) & 8050.25272 \tabularnewline
0.2556 (3.913) & 80338.918757 \tabularnewline
0.2583 (3.871) & 1835.650047 \tabularnewline
0.2611 (3.8298) & 100206.027818 \tabularnewline
0.2639 (3.7895) & 609792.737595 \tabularnewline
0.2667 (3.75) & 1078174.575362 \tabularnewline
0.2694 (3.7113) & 681011.728345 \tabularnewline
0.2722 (3.6735) & 450680.553473 \tabularnewline
0.275 (3.6364) & 6372868.425929 \tabularnewline
0.2778 (3.6) & 3138831.747747 \tabularnewline
0.2806 (3.5644) & 892593.182089 \tabularnewline
0.2833 (3.5294) & 1711316.431871 \tabularnewline
0.2861 (3.4951) & 5829271.611205 \tabularnewline
0.2889 (3.4615) & 5511900.134291 \tabularnewline
0.2917 (3.4286) & 3546853.786795 \tabularnewline
0.2944 (3.3962) & 7364876.828315 \tabularnewline
0.2972 (3.3645) & 9017299.517958 \tabularnewline
0.3 (3.3333) & 1637200.734543 \tabularnewline
0.3028 (3.3028) & 4041673.148881 \tabularnewline
0.3056 (3.2727) & 4062616.953611 \tabularnewline
0.3083 (3.2432) & 912365.731732 \tabularnewline
0.3111 (3.2143) & 186919.958228 \tabularnewline
0.3139 (3.1858) & 679054.486557 \tabularnewline
0.3167 (3.1579) & 888373.418716 \tabularnewline
0.3194 (3.1304) & 8944.842899 \tabularnewline
0.3222 (3.1034) & 1884.65591 \tabularnewline
0.325 (3.0769) & 103092.709513 \tabularnewline
0.3278 (3.0508) & 3605.411741 \tabularnewline
0.3306 (3.0252) & 7204.60505 \tabularnewline
0.3333 (3) & 4821.578353 \tabularnewline
0.3361 (2.9752) & 7817.192972 \tabularnewline
0.3389 (2.9508) & 1185.655335 \tabularnewline
0.3417 (2.9268) & 57005.971423 \tabularnewline
0.3444 (2.9032) & 304068.215919 \tabularnewline
0.3472 (2.88) & 365754.982418 \tabularnewline
0.35 (2.8571) & 331254.410159 \tabularnewline
0.3528 (2.8346) & 98037.453409 \tabularnewline
0.3556 (2.8125) & 3820655.170877 \tabularnewline
0.3583 (2.7907) & 56672.562923 \tabularnewline
0.3611 (2.7692) & 774909.390951 \tabularnewline
0.3639 (2.7481) & 10639617.464952 \tabularnewline
0.3667 (2.7273) & 1277023.852342 \tabularnewline
0.3694 (2.7068) & 851678.887542 \tabularnewline
0.3722 (2.6866) & 5171537.324277 \tabularnewline
0.375 (2.6667) & 8004315.834484 \tabularnewline
0.3778 (2.6471) & 2238176.815605 \tabularnewline
0.3806 (2.6277) & 680427.256046 \tabularnewline
0.3833 (2.6087) & 6401536.231543 \tabularnewline
0.3861 (2.5899) & 1613826.020856 \tabularnewline
0.3889 (2.5714) & 393270.258379 \tabularnewline
0.3917 (2.5532) & 3159652.070803 \tabularnewline
0.3944 (2.5352) & 2041055.520428 \tabularnewline
0.3972 (2.5175) & 145081.566304 \tabularnewline
0.4 (2.5) & 198858.024694 \tabularnewline
0.4028 (2.4828) & 212921.737863 \tabularnewline
0.4056 (2.4658) & 194745.570728 \tabularnewline
0.4083 (2.449) & 8426.171873 \tabularnewline
0.4111 (2.4324) & 3221.64921 \tabularnewline
0.4139 (2.4161) & 174.148004 \tabularnewline
0.4167 (2.4) & 758.075692 \tabularnewline
0.4194 (2.3841) & 2329.211661 \tabularnewline
0.4222 (2.3684) & 18057.173827 \tabularnewline
0.425 (2.3529) & 10907.970177 \tabularnewline
0.4278 (2.3377) & 108279.031752 \tabularnewline
0.4306 (2.3226) & 249059.309146 \tabularnewline
0.4333 (2.3077) & 690230.202645 \tabularnewline
0.4361 (2.293) & 1232550.865317 \tabularnewline
0.4389 (2.2785) & 274075.870107 \tabularnewline
0.4417 (2.2642) & 3180425.725949 \tabularnewline
0.4444 (2.25) & 2005566.006784 \tabularnewline
0.4472 (2.236) & 1162414.816169 \tabularnewline
0.45 (2.2222) & 2597293.321912 \tabularnewline
0.4528 (2.2086) & 2752741.297401 \tabularnewline
0.4556 (2.1951) & 3351038.442847 \tabularnewline
0.4583 (2.1818) & 1413713.391927 \tabularnewline
0.4611 (2.1687) & 1311218.778146 \tabularnewline
0.4639 (2.1557) & 3071387.254544 \tabularnewline
0.4667 (2.1429) & 1248312.35654 \tabularnewline
0.4694 (2.1302) & 1334842.07169 \tabularnewline
0.4722 (2.1176) & 673260.101838 \tabularnewline
0.475 (2.1053) & 2965554.281826 \tabularnewline
0.4778 (2.093) & 57047.601782 \tabularnewline
0.4806 (2.0809) & 346228.036868 \tabularnewline
0.4833 (2.069) & 433366.888279 \tabularnewline
0.4861 (2.0571) & 75127.914704 \tabularnewline
0.4889 (2.0455) & 79252.602317 \tabularnewline
0.4917 (2.0339) & 11829.234398 \tabularnewline
0.4944 (2.0225) & 5409.86155 \tabularnewline
0.4972 (2.0112) & 429.464777 \tabularnewline
0.5 (2) & 252.626123 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200624&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]2[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0028 (360)[/C][C]29302.644399[/C][/ROW]
[ROW][C]0.0056 (180)[/C][C]35445.728516[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]152196.78072[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]589668.677002[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]586831.951919[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]359299.119378[/C][/ROW]
[ROW][C]0.0194 (51.4286)[/C][C]1476909.213206[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]27217.159558[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]1423647.932247[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]3789004.691702[/C][/ROW]
[ROW][C]0.0306 (32.7273)[/C][C]1396715.095539[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]619752.142821[/C][/ROW]
[ROW][C]0.0361 (27.6923)[/C][C]1671219.468708[/C][/ROW]
[ROW][C]0.0389 (25.7143)[/C][C]735354.286421[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]331912.029433[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]1643916.056339[/C][/ROW]
[ROW][C]0.0472 (21.1765)[/C][C]2638700.825014[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]906975.483273[/C][/ROW]
[ROW][C]0.0528 (18.9474)[/C][C]569802.495497[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]272649.520677[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]1230510.803913[/C][/ROW]
[ROW][C]0.0611 (16.3636)[/C][C]404415.265915[/C][/ROW]
[ROW][C]0.0639 (15.6522)[/C][C]505470.068455[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]534766.515356[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]109373.614128[/C][/ROW]
[ROW][C]0.0722 (13.8462)[/C][C]137439.316461[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]71154.619955[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]39721.070662[/C][/ROW]
[ROW][C]0.0806 (12.4138)[/C][C]10096.270526[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]7242.500834[/C][/ROW]
[ROW][C]0.0861 (11.6129)[/C][C]3264.996484[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]8937.259509[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]27490.78919[/C][/ROW]
[ROW][C]0.0944 (10.5882)[/C][C]30571.502282[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]593282.886902[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]601461.335809[/C][/ROW]
[ROW][C]0.1028 (9.7297)[/C][C]291547.035942[/C][/ROW]
[ROW][C]0.1056 (9.4737)[/C][C]1531304.192968[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]921141.888427[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]660818.82466[/C][/ROW]
[ROW][C]0.1139 (8.7805)[/C][C]713282.462514[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]2112271.459391[/C][/ROW]
[ROW][C]0.1194 (8.3721)[/C][C]4461452.667988[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]1240320.093236[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]1637588.936948[/C][/ROW]
[ROW][C]0.1278 (7.8261)[/C][C]7408805.89462[/C][/ROW]
[ROW][C]0.1306 (7.6596)[/C][C]5733366.725165[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1410650.108806[/C][/ROW]
[ROW][C]0.1361 (7.3469)[/C][C]152574.227609[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]1858687.136271[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]226321.66267[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]754639.516755[/C][/ROW]
[ROW][C]0.1472 (6.7925)[/C][C]610508.107705[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]375370.012939[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]525190.069616[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]80271.144193[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]50094.412575[/C][/ROW]
[ROW][C]0.1611 (6.2069)[/C][C]7560.768111[/C][/ROW]
[ROW][C]0.1639 (6.1017)[/C][C]710.060067[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]76.579329[/C][/ROW]
[ROW][C]0.1694 (5.9016)[/C][C]473.336259[/C][/ROW]
[ROW][C]0.1722 (5.8065)[/C][C]576.937441[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]8256.216324[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]44101.456999[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]411375.879348[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]100955.250815[/C][/ROW]
[ROW][C]0.1861 (5.3731)[/C][C]965080.933402[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]3814089.020087[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]1027784.091098[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]4099496.42875[/C][/ROW]
[ROW][C]0.1972 (5.0704)[/C][C]6467998.406948[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]412482.838598[/C][/ROW]
[ROW][C]0.2028 (4.9315)[/C][C]1836667.732357[/C][/ROW]
[ROW][C]0.2056 (4.8649)[/C][C]2720829.100279[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]7023623.666289[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]4581525.792954[/C][/ROW]
[ROW][C]0.2139 (4.6753)[/C][C]2094695.902053[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]10918223.983589[/C][/ROW]
[ROW][C]0.2194 (4.557)[/C][C]327476.045537[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]1434328.087393[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]5665688.422755[/C][/ROW]
[ROW][C]0.2278 (4.3902)[/C][C]1597408.223858[/C][/ROW]
[ROW][C]0.2306 (4.3373)[/C][C]335210.087297[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]177633.867209[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]788295.584448[/C][/ROW]
[ROW][C]0.2389 (4.186)[/C][C]107311.126474[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]5352.730397[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]37585.294131[/C][/ROW]
[ROW][C]0.2472 (4.0449)[/C][C]8929.596296[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]8737.760638[/C][/ROW]
[ROW][C]0.2528 (3.956)[/C][C]8050.25272[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]80338.918757[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]1835.650047[/C][/ROW]
[ROW][C]0.2611 (3.8298)[/C][C]100206.027818[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]609792.737595[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]1078174.575362[/C][/ROW]
[ROW][C]0.2694 (3.7113)[/C][C]681011.728345[/C][/ROW]
[ROW][C]0.2722 (3.6735)[/C][C]450680.553473[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]6372868.425929[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]3138831.747747[/C][/ROW]
[ROW][C]0.2806 (3.5644)[/C][C]892593.182089[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]1711316.431871[/C][/ROW]
[ROW][C]0.2861 (3.4951)[/C][C]5829271.611205[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]5511900.134291[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]3546853.786795[/C][/ROW]
[ROW][C]0.2944 (3.3962)[/C][C]7364876.828315[/C][/ROW]
[ROW][C]0.2972 (3.3645)[/C][C]9017299.517958[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1637200.734543[/C][/ROW]
[ROW][C]0.3028 (3.3028)[/C][C]4041673.148881[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]4062616.953611[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]912365.731732[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]186919.958228[/C][/ROW]
[ROW][C]0.3139 (3.1858)[/C][C]679054.486557[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]888373.418716[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]8944.842899[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]1884.65591[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]103092.709513[/C][/ROW]
[ROW][C]0.3278 (3.0508)[/C][C]3605.411741[/C][/ROW]
[ROW][C]0.3306 (3.0252)[/C][C]7204.60505[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]4821.578353[/C][/ROW]
[ROW][C]0.3361 (2.9752)[/C][C]7817.192972[/C][/ROW]
[ROW][C]0.3389 (2.9508)[/C][C]1185.655335[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]57005.971423[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]304068.215919[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]365754.982418[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]331254.410159[/C][/ROW]
[ROW][C]0.3528 (2.8346)[/C][C]98037.453409[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]3820655.170877[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]56672.562923[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]774909.390951[/C][/ROW]
[ROW][C]0.3639 (2.7481)[/C][C]10639617.464952[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1277023.852342[/C][/ROW]
[ROW][C]0.3694 (2.7068)[/C][C]851678.887542[/C][/ROW]
[ROW][C]0.3722 (2.6866)[/C][C]5171537.324277[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]8004315.834484[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]2238176.815605[/C][/ROW]
[ROW][C]0.3806 (2.6277)[/C][C]680427.256046[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]6401536.231543[/C][/ROW]
[ROW][C]0.3861 (2.5899)[/C][C]1613826.020856[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]393270.258379[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]3159652.070803[/C][/ROW]
[ROW][C]0.3944 (2.5352)[/C][C]2041055.520428[/C][/ROW]
[ROW][C]0.3972 (2.5175)[/C][C]145081.566304[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]198858.024694[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]212921.737863[/C][/ROW]
[ROW][C]0.4056 (2.4658)[/C][C]194745.570728[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]8426.171873[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]3221.64921[/C][/ROW]
[ROW][C]0.4139 (2.4161)[/C][C]174.148004[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]758.075692[/C][/ROW]
[ROW][C]0.4194 (2.3841)[/C][C]2329.211661[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]18057.173827[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]10907.970177[/C][/ROW]
[ROW][C]0.4278 (2.3377)[/C][C]108279.031752[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]249059.309146[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]690230.202645[/C][/ROW]
[ROW][C]0.4361 (2.293)[/C][C]1232550.865317[/C][/ROW]
[ROW][C]0.4389 (2.2785)[/C][C]274075.870107[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]3180425.725949[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]2005566.006784[/C][/ROW]
[ROW][C]0.4472 (2.236)[/C][C]1162414.816169[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]2597293.321912[/C][/ROW]
[ROW][C]0.4528 (2.2086)[/C][C]2752741.297401[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]3351038.442847[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1413713.391927[/C][/ROW]
[ROW][C]0.4611 (2.1687)[/C][C]1311218.778146[/C][/ROW]
[ROW][C]0.4639 (2.1557)[/C][C]3071387.254544[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]1248312.35654[/C][/ROW]
[ROW][C]0.4694 (2.1302)[/C][C]1334842.07169[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]673260.101838[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]2965554.281826[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]57047.601782[/C][/ROW]
[ROW][C]0.4806 (2.0809)[/C][C]346228.036868[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]433366.888279[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]75127.914704[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]79252.602317[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]11829.234398[/C][/ROW]
[ROW][C]0.4944 (2.0225)[/C][C]5409.86155[/C][/ROW]
[ROW][C]0.4972 (2.0112)[/C][C]429.464777[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]252.626123[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200624&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200624&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)2
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0028 (360)29302.644399
0.0056 (180)35445.728516
0.0083 (120)152196.78072
0.0111 (90)589668.677002
0.0139 (72)586831.951919
0.0167 (60)359299.119378
0.0194 (51.4286)1476909.213206
0.0222 (45)27217.159558
0.025 (40)1423647.932247
0.0278 (36)3789004.691702
0.0306 (32.7273)1396715.095539
0.0333 (30)619752.142821
0.0361 (27.6923)1671219.468708
0.0389 (25.7143)735354.286421
0.0417 (24)331912.029433
0.0444 (22.5)1643916.056339
0.0472 (21.1765)2638700.825014
0.05 (20)906975.483273
0.0528 (18.9474)569802.495497
0.0556 (18)272649.520677
0.0583 (17.1429)1230510.803913
0.0611 (16.3636)404415.265915
0.0639 (15.6522)505470.068455
0.0667 (15)534766.515356
0.0694 (14.4)109373.614128
0.0722 (13.8462)137439.316461
0.075 (13.3333)71154.619955
0.0778 (12.8571)39721.070662
0.0806 (12.4138)10096.270526
0.0833 (12)7242.500834
0.0861 (11.6129)3264.996484
0.0889 (11.25)8937.259509
0.0917 (10.9091)27490.78919
0.0944 (10.5882)30571.502282
0.0972 (10.2857)593282.886902
0.1 (10)601461.335809
0.1028 (9.7297)291547.035942
0.1056 (9.4737)1531304.192968
0.1083 (9.2308)921141.888427
0.1111 (9)660818.82466
0.1139 (8.7805)713282.462514
0.1167 (8.5714)2112271.459391
0.1194 (8.3721)4461452.667988
0.1222 (8.1818)1240320.093236
0.125 (8)1637588.936948
0.1278 (7.8261)7408805.89462
0.1306 (7.6596)5733366.725165
0.1333 (7.5)1410650.108806
0.1361 (7.3469)152574.227609
0.1389 (7.2)1858687.136271
0.1417 (7.0588)226321.66267
0.1444 (6.9231)754639.516755
0.1472 (6.7925)610508.107705
0.15 (6.6667)375370.012939
0.1528 (6.5455)525190.069616
0.1556 (6.4286)80271.144193
0.1583 (6.3158)50094.412575
0.1611 (6.2069)7560.768111
0.1639 (6.1017)710.060067
0.1667 (6)76.579329
0.1694 (5.9016)473.336259
0.1722 (5.8065)576.937441
0.175 (5.7143)8256.216324
0.1778 (5.625)44101.456999
0.1806 (5.5385)411375.879348
0.1833 (5.4545)100955.250815
0.1861 (5.3731)965080.933402
0.1889 (5.2941)3814089.020087
0.1917 (5.2174)1027784.091098
0.1944 (5.1429)4099496.42875
0.1972 (5.0704)6467998.406948
0.2 (5)412482.838598
0.2028 (4.9315)1836667.732357
0.2056 (4.8649)2720829.100279
0.2083 (4.8)7023623.666289
0.2111 (4.7368)4581525.792954
0.2139 (4.6753)2094695.902053
0.2167 (4.6154)10918223.983589
0.2194 (4.557)327476.045537
0.2222 (4.5)1434328.087393
0.225 (4.4444)5665688.422755
0.2278 (4.3902)1597408.223858
0.2306 (4.3373)335210.087297
0.2333 (4.2857)177633.867209
0.2361 (4.2353)788295.584448
0.2389 (4.186)107311.126474
0.2417 (4.1379)5352.730397
0.2444 (4.0909)37585.294131
0.2472 (4.0449)8929.596296
0.25 (4)8737.760638
0.2528 (3.956)8050.25272
0.2556 (3.913)80338.918757
0.2583 (3.871)1835.650047
0.2611 (3.8298)100206.027818
0.2639 (3.7895)609792.737595
0.2667 (3.75)1078174.575362
0.2694 (3.7113)681011.728345
0.2722 (3.6735)450680.553473
0.275 (3.6364)6372868.425929
0.2778 (3.6)3138831.747747
0.2806 (3.5644)892593.182089
0.2833 (3.5294)1711316.431871
0.2861 (3.4951)5829271.611205
0.2889 (3.4615)5511900.134291
0.2917 (3.4286)3546853.786795
0.2944 (3.3962)7364876.828315
0.2972 (3.3645)9017299.517958
0.3 (3.3333)1637200.734543
0.3028 (3.3028)4041673.148881
0.3056 (3.2727)4062616.953611
0.3083 (3.2432)912365.731732
0.3111 (3.2143)186919.958228
0.3139 (3.1858)679054.486557
0.3167 (3.1579)888373.418716
0.3194 (3.1304)8944.842899
0.3222 (3.1034)1884.65591
0.325 (3.0769)103092.709513
0.3278 (3.0508)3605.411741
0.3306 (3.0252)7204.60505
0.3333 (3)4821.578353
0.3361 (2.9752)7817.192972
0.3389 (2.9508)1185.655335
0.3417 (2.9268)57005.971423
0.3444 (2.9032)304068.215919
0.3472 (2.88)365754.982418
0.35 (2.8571)331254.410159
0.3528 (2.8346)98037.453409
0.3556 (2.8125)3820655.170877
0.3583 (2.7907)56672.562923
0.3611 (2.7692)774909.390951
0.3639 (2.7481)10639617.464952
0.3667 (2.7273)1277023.852342
0.3694 (2.7068)851678.887542
0.3722 (2.6866)5171537.324277
0.375 (2.6667)8004315.834484
0.3778 (2.6471)2238176.815605
0.3806 (2.6277)680427.256046
0.3833 (2.6087)6401536.231543
0.3861 (2.5899)1613826.020856
0.3889 (2.5714)393270.258379
0.3917 (2.5532)3159652.070803
0.3944 (2.5352)2041055.520428
0.3972 (2.5175)145081.566304
0.4 (2.5)198858.024694
0.4028 (2.4828)212921.737863
0.4056 (2.4658)194745.570728
0.4083 (2.449)8426.171873
0.4111 (2.4324)3221.64921
0.4139 (2.4161)174.148004
0.4167 (2.4)758.075692
0.4194 (2.3841)2329.211661
0.4222 (2.3684)18057.173827
0.425 (2.3529)10907.970177
0.4278 (2.3377)108279.031752
0.4306 (2.3226)249059.309146
0.4333 (2.3077)690230.202645
0.4361 (2.293)1232550.865317
0.4389 (2.2785)274075.870107
0.4417 (2.2642)3180425.725949
0.4444 (2.25)2005566.006784
0.4472 (2.236)1162414.816169
0.45 (2.2222)2597293.321912
0.4528 (2.2086)2752741.297401
0.4556 (2.1951)3351038.442847
0.4583 (2.1818)1413713.391927
0.4611 (2.1687)1311218.778146
0.4639 (2.1557)3071387.254544
0.4667 (2.1429)1248312.35654
0.4694 (2.1302)1334842.07169
0.4722 (2.1176)673260.101838
0.475 (2.1053)2965554.281826
0.4778 (2.093)57047.601782
0.4806 (2.0809)346228.036868
0.4833 (2.069)433366.888279
0.4861 (2.0571)75127.914704
0.4889 (2.0455)79252.602317
0.4917 (2.0339)11829.234398
0.4944 (2.0225)5409.86155
0.4972 (2.0112)429.464777
0.5 (2)252.626123


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 2 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 2 ; 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')