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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 16:42:31 -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/t13556942225um0ytgige045lg.htm/, Retrieved Sun, 28 Apr 2024 09:22:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=200622, Retrieved Sun, 28 Apr 2024 09:22:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

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 21:42:31] [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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200622&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200622&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200622&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'George Udny Yule' @ yule.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)10086589.551167
0.0053 (187.5)3186474.237536
0.008 (125)43059294.698472
0.0107 (93.75)107960334.610017
0.0133 (75)78245093.192488
0.016 (62.5)12840416.617564
0.0187 (53.5714)54640212.200582
0.0213 (46.875)14901320.547264
0.024 (41.6667)16984832.925123
0.0267 (37.5)36831920.984206
0.0293 (34.0909)23011276.771766
0.032 (31.25)24915753.598893
0.0347 (28.8462)2705633.195211
0.0373 (26.7857)8427866.272273
0.04 (25)4109295.145728
0.0427 (23.4375)4650139.650698
0.0453 (22.0588)9661928.103588
0.048 (20.8333)4249901.884399
0.0507 (19.7368)3410252.096734
0.0533 (18.75)2080231.751209
0.056 (17.8571)1376006.421247
0.0587 (17.0455)4402335.762515
0.0613 (16.3043)525511.12695
0.064 (15.625)2510152.703229
0.0667 (15)2547529.637877
0.0693 (14.4231)612346.874949
0.072 (13.8889)765915.888159
0.0747 (13.3929)416971.571493
0.0773 (12.931)252560.326999
0.08 (12.5)19328.55156
0.0827 (12.0968)17423.375892
0.0853 (11.7188)21588.0251
0.088 (11.3636)45968.983801
0.0907 (11.0294)188448.020932
0.0933 (10.7143)61094.208231
0.096 (10.4167)681610.793346
0.0987 (10.1351)1835264.129873
0.1013 (9.8684)521893.06248
0.104 (9.6154)378194.317537
0.1067 (9.375)2193195.490265
0.1093 (9.1463)47829.498652
0.112 (8.9286)580004.741099
0.1147 (8.7209)532323.393096
0.1173 (8.5227)1405962.724226
0.12 (8.3333)2009057.145286
0.1227 (8.1522)399962.45145
0.1253 (7.9787)845823.634928
0.128 (7.8125)3071382.67875
0.1307 (7.6531)2166582.599905
0.1333 (7.5)607068.935611
0.136 (7.3529)39392.343382
0.1387 (7.2115)896616.306293
0.1413 (7.0755)96373.753794
0.144 (6.9444)452339.467051
0.1467 (6.8182)542024.058802
0.1493 (6.6964)130051.464881
0.152 (6.5789)658951.847363
0.1547 (6.4655)221267.531752
0.1573 (6.3559)90166.991628
0.16 (6.25)75894.761263
0.1627 (6.1475)34316.71008
0.1653 (6.0484)6547.638424
0.168 (5.9524)8594.660061
0.1707 (5.8594)3995.48329
0.1733 (5.7692)5304.926753
0.176 (5.6818)16215.231344
0.1787 (5.597)151658.974472
0.1813 (5.5147)282063.286284
0.184 (5.4348)33325.35767
0.1867 (5.3571)694648.839712
0.1893 (5.2817)1187590.729278
0.192 (5.2083)272111.05924
0.1947 (5.137)1123788.00486
0.1973 (5.0676)1300674.202673
0.2 (5)59920.164547
0.2027 (4.9342)312860.460152
0.2053 (4.8701)623509.14251
0.208 (4.8077)902171.821849
0.2107 (4.7468)1009758.70666
0.2133 (4.6875)248615.688095
0.216 (4.6296)1936612.01786
0.2187 (4.5732)280992.077759
0.2213 (4.5181)138477.39392
0.224 (4.4643)1057371.573346
0.2267 (4.4118)703222.579399
0.2293 (4.3605)227930.24823
0.232 (4.3103)47595.903994
0.2347 (4.2614)219744.783933
0.2373 (4.2135)333560.479688
0.24 (4.1667)2154.932037
0.2427 (4.1209)25681.480151
0.2453 (4.0761)13326.551993
0.248 (4.0323)13259.533066
0.2507 (3.9894)664.833332
0.2533 (3.9474)4339.983468
0.256 (3.9062)104883.251502
0.2587 (3.866)16035.242219
0.2613 (3.8265)37470.626994
0.264 (3.7879)315750.468473
0.2667 (3.75)275062.831152
0.2693 (3.7129)237954.250033
0.272 (3.6765)85357.446841
0.2747 (3.6408)874402.128569
0.2773 (3.6058)655629.078461
0.28 (3.5714)124195.265193
0.2827 (3.5377)47600.005673
0.2853 (3.5047)585247.785973
0.288 (3.4722)633403.781584
0.2907 (3.4404)232473.744132
0.2933 (3.4091)616625.702826
0.296 (3.3784)957542.951086
0.2987 (3.3482)407749.919275
0.3013 (3.3186)215557.016868
0.304 (3.2895)626249.99793
0.3067 (3.2609)268426.876416
0.3093 (3.2328)60680.17493
0.312 (3.2051)91030.979466
0.3147 (3.178)153365.9235
0.3173 (3.1513)170814.907291
0.32 (3.125)1845.895603
0.3227 (3.0992)16273.309473
0.3253 (3.0738)52197.085184
0.328 (3.0488)15079.715651
0.3307 (3.0242)5392.474389
0.3333 (3)936.321818
0.336 (2.9762)762.064786
0.3387 (2.9528)7198.812339
0.3413 (2.9297)18067.201061
0.344 (2.907)160383.411896
0.3467 (2.8846)85493.223562
0.3493 (2.8626)12748.994281
0.352 (2.8409)90879.270428
0.3547 (2.8195)378879.187365
0.3573 (2.7985)92066.320795
0.36 (2.7778)51392.983212
0.3627 (2.7574)741354.418173
0.3653 (2.7372)295193.344952
0.368 (2.7174)221940.025566
0.3707 (2.6978)290352.229701
0.3733 (2.6786)127005.603166
0.376 (2.6596)857508.970146
0.3787 (2.6408)4006.783407
0.3813 (2.6224)8328.321223
0.384 (2.6042)588252.379535
0.3867 (2.5862)95883.050597
0.3893 (2.5685)8366.868509
0.392 (2.551)338571.867518
0.3947 (2.5338)249150.967021
0.3973 (2.5168)16212.309282
0.4 (2.5)36681.262872
0.4027 (2.4834)46396.083201
0.4053 (2.4671)92708.952271
0.408 (2.451)4630.685163
0.4107 (2.4351)2265.576048
0.4133 (2.4194)6118.802834
0.416 (2.4038)1211.292414
0.4187 (2.3885)397.078158
0.4213 (2.3734)9749.170846
0.424 (2.3585)5435.509539
0.4267 (2.3438)54595.969504
0.4293 (2.3292)5027.123197
0.432 (2.3148)18037.135074
0.4347 (2.3006)334912.933638
0.4373 (2.2866)10530.849775
0.44 (2.2727)25909.317109
0.4427 (2.259)501043.728818
0.4453 (2.2455)42625.556752
0.448 (2.2321)38271.589911
0.4507 (2.2189)273181.461154
0.4533 (2.2059)178302.219825
0.456 (2.193)160704.747569
0.4587 (2.1802)92627.791652
0.4613 (2.1676)112484.583743
0.464 (2.1552)184276.737679
0.4667 (2.1429)101824.560521
0.4693 (2.1307)94122.178098
0.472 (2.1186)69887.604961
0.4747 (2.1067)275121.404658
0.4773 (2.095)4563.680706
0.48 (2.0833)50482.931219
0.4827 (2.0718)80494.191662
0.4853 (2.0604)10491.227589
0.488 (2.0492)38116.675398
0.4907 (2.038)14265.425844
0.4933 (2.027)2879.607431
0.496 (2.0161)6742.664461
0.4987 (2.0053)942.600902

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 10086589.551167 \tabularnewline
0.0053 (187.5) & 3186474.237536 \tabularnewline
0.008 (125) & 43059294.698472 \tabularnewline
0.0107 (93.75) & 107960334.610017 \tabularnewline
0.0133 (75) & 78245093.192488 \tabularnewline
0.016 (62.5) & 12840416.617564 \tabularnewline
0.0187 (53.5714) & 54640212.200582 \tabularnewline
0.0213 (46.875) & 14901320.547264 \tabularnewline
0.024 (41.6667) & 16984832.925123 \tabularnewline
0.0267 (37.5) & 36831920.984206 \tabularnewline
0.0293 (34.0909) & 23011276.771766 \tabularnewline
0.032 (31.25) & 24915753.598893 \tabularnewline
0.0347 (28.8462) & 2705633.195211 \tabularnewline
0.0373 (26.7857) & 8427866.272273 \tabularnewline
0.04 (25) & 4109295.145728 \tabularnewline
0.0427 (23.4375) & 4650139.650698 \tabularnewline
0.0453 (22.0588) & 9661928.103588 \tabularnewline
0.048 (20.8333) & 4249901.884399 \tabularnewline
0.0507 (19.7368) & 3410252.096734 \tabularnewline
0.0533 (18.75) & 2080231.751209 \tabularnewline
0.056 (17.8571) & 1376006.421247 \tabularnewline
0.0587 (17.0455) & 4402335.762515 \tabularnewline
0.0613 (16.3043) & 525511.12695 \tabularnewline
0.064 (15.625) & 2510152.703229 \tabularnewline
0.0667 (15) & 2547529.637877 \tabularnewline
0.0693 (14.4231) & 612346.874949 \tabularnewline
0.072 (13.8889) & 765915.888159 \tabularnewline
0.0747 (13.3929) & 416971.571493 \tabularnewline
0.0773 (12.931) & 252560.326999 \tabularnewline
0.08 (12.5) & 19328.55156 \tabularnewline
0.0827 (12.0968) & 17423.375892 \tabularnewline
0.0853 (11.7188) & 21588.0251 \tabularnewline
0.088 (11.3636) & 45968.983801 \tabularnewline
0.0907 (11.0294) & 188448.020932 \tabularnewline
0.0933 (10.7143) & 61094.208231 \tabularnewline
0.096 (10.4167) & 681610.793346 \tabularnewline
0.0987 (10.1351) & 1835264.129873 \tabularnewline
0.1013 (9.8684) & 521893.06248 \tabularnewline
0.104 (9.6154) & 378194.317537 \tabularnewline
0.1067 (9.375) & 2193195.490265 \tabularnewline
0.1093 (9.1463) & 47829.498652 \tabularnewline
0.112 (8.9286) & 580004.741099 \tabularnewline
0.1147 (8.7209) & 532323.393096 \tabularnewline
0.1173 (8.5227) & 1405962.724226 \tabularnewline
0.12 (8.3333) & 2009057.145286 \tabularnewline
0.1227 (8.1522) & 399962.45145 \tabularnewline
0.1253 (7.9787) & 845823.634928 \tabularnewline
0.128 (7.8125) & 3071382.67875 \tabularnewline
0.1307 (7.6531) & 2166582.599905 \tabularnewline
0.1333 (7.5) & 607068.935611 \tabularnewline
0.136 (7.3529) & 39392.343382 \tabularnewline
0.1387 (7.2115) & 896616.306293 \tabularnewline
0.1413 (7.0755) & 96373.753794 \tabularnewline
0.144 (6.9444) & 452339.467051 \tabularnewline
0.1467 (6.8182) & 542024.058802 \tabularnewline
0.1493 (6.6964) & 130051.464881 \tabularnewline
0.152 (6.5789) & 658951.847363 \tabularnewline
0.1547 (6.4655) & 221267.531752 \tabularnewline
0.1573 (6.3559) & 90166.991628 \tabularnewline
0.16 (6.25) & 75894.761263 \tabularnewline
0.1627 (6.1475) & 34316.71008 \tabularnewline
0.1653 (6.0484) & 6547.638424 \tabularnewline
0.168 (5.9524) & 8594.660061 \tabularnewline
0.1707 (5.8594) & 3995.48329 \tabularnewline
0.1733 (5.7692) & 5304.926753 \tabularnewline
0.176 (5.6818) & 16215.231344 \tabularnewline
0.1787 (5.597) & 151658.974472 \tabularnewline
0.1813 (5.5147) & 282063.286284 \tabularnewline
0.184 (5.4348) & 33325.35767 \tabularnewline
0.1867 (5.3571) & 694648.839712 \tabularnewline
0.1893 (5.2817) & 1187590.729278 \tabularnewline
0.192 (5.2083) & 272111.05924 \tabularnewline
0.1947 (5.137) & 1123788.00486 \tabularnewline
0.1973 (5.0676) & 1300674.202673 \tabularnewline
0.2 (5) & 59920.164547 \tabularnewline
0.2027 (4.9342) & 312860.460152 \tabularnewline
0.2053 (4.8701) & 623509.14251 \tabularnewline
0.208 (4.8077) & 902171.821849 \tabularnewline
0.2107 (4.7468) & 1009758.70666 \tabularnewline
0.2133 (4.6875) & 248615.688095 \tabularnewline
0.216 (4.6296) & 1936612.01786 \tabularnewline
0.2187 (4.5732) & 280992.077759 \tabularnewline
0.2213 (4.5181) & 138477.39392 \tabularnewline
0.224 (4.4643) & 1057371.573346 \tabularnewline
0.2267 (4.4118) & 703222.579399 \tabularnewline
0.2293 (4.3605) & 227930.24823 \tabularnewline
0.232 (4.3103) & 47595.903994 \tabularnewline
0.2347 (4.2614) & 219744.783933 \tabularnewline
0.2373 (4.2135) & 333560.479688 \tabularnewline
0.24 (4.1667) & 2154.932037 \tabularnewline
0.2427 (4.1209) & 25681.480151 \tabularnewline
0.2453 (4.0761) & 13326.551993 \tabularnewline
0.248 (4.0323) & 13259.533066 \tabularnewline
0.2507 (3.9894) & 664.833332 \tabularnewline
0.2533 (3.9474) & 4339.983468 \tabularnewline
0.256 (3.9062) & 104883.251502 \tabularnewline
0.2587 (3.866) & 16035.242219 \tabularnewline
0.2613 (3.8265) & 37470.626994 \tabularnewline
0.264 (3.7879) & 315750.468473 \tabularnewline
0.2667 (3.75) & 275062.831152 \tabularnewline
0.2693 (3.7129) & 237954.250033 \tabularnewline
0.272 (3.6765) & 85357.446841 \tabularnewline
0.2747 (3.6408) & 874402.128569 \tabularnewline
0.2773 (3.6058) & 655629.078461 \tabularnewline
0.28 (3.5714) & 124195.265193 \tabularnewline
0.2827 (3.5377) & 47600.005673 \tabularnewline
0.2853 (3.5047) & 585247.785973 \tabularnewline
0.288 (3.4722) & 633403.781584 \tabularnewline
0.2907 (3.4404) & 232473.744132 \tabularnewline
0.2933 (3.4091) & 616625.702826 \tabularnewline
0.296 (3.3784) & 957542.951086 \tabularnewline
0.2987 (3.3482) & 407749.919275 \tabularnewline
0.3013 (3.3186) & 215557.016868 \tabularnewline
0.304 (3.2895) & 626249.99793 \tabularnewline
0.3067 (3.2609) & 268426.876416 \tabularnewline
0.3093 (3.2328) & 60680.17493 \tabularnewline
0.312 (3.2051) & 91030.979466 \tabularnewline
0.3147 (3.178) & 153365.9235 \tabularnewline
0.3173 (3.1513) & 170814.907291 \tabularnewline
0.32 (3.125) & 1845.895603 \tabularnewline
0.3227 (3.0992) & 16273.309473 \tabularnewline
0.3253 (3.0738) & 52197.085184 \tabularnewline
0.328 (3.0488) & 15079.715651 \tabularnewline
0.3307 (3.0242) & 5392.474389 \tabularnewline
0.3333 (3) & 936.321818 \tabularnewline
0.336 (2.9762) & 762.064786 \tabularnewline
0.3387 (2.9528) & 7198.812339 \tabularnewline
0.3413 (2.9297) & 18067.201061 \tabularnewline
0.344 (2.907) & 160383.411896 \tabularnewline
0.3467 (2.8846) & 85493.223562 \tabularnewline
0.3493 (2.8626) & 12748.994281 \tabularnewline
0.352 (2.8409) & 90879.270428 \tabularnewline
0.3547 (2.8195) & 378879.187365 \tabularnewline
0.3573 (2.7985) & 92066.320795 \tabularnewline
0.36 (2.7778) & 51392.983212 \tabularnewline
0.3627 (2.7574) & 741354.418173 \tabularnewline
0.3653 (2.7372) & 295193.344952 \tabularnewline
0.368 (2.7174) & 221940.025566 \tabularnewline
0.3707 (2.6978) & 290352.229701 \tabularnewline
0.3733 (2.6786) & 127005.603166 \tabularnewline
0.376 (2.6596) & 857508.970146 \tabularnewline
0.3787 (2.6408) & 4006.783407 \tabularnewline
0.3813 (2.6224) & 8328.321223 \tabularnewline
0.384 (2.6042) & 588252.379535 \tabularnewline
0.3867 (2.5862) & 95883.050597 \tabularnewline
0.3893 (2.5685) & 8366.868509 \tabularnewline
0.392 (2.551) & 338571.867518 \tabularnewline
0.3947 (2.5338) & 249150.967021 \tabularnewline
0.3973 (2.5168) & 16212.309282 \tabularnewline
0.4 (2.5) & 36681.262872 \tabularnewline
0.4027 (2.4834) & 46396.083201 \tabularnewline
0.4053 (2.4671) & 92708.952271 \tabularnewline
0.408 (2.451) & 4630.685163 \tabularnewline
0.4107 (2.4351) & 2265.576048 \tabularnewline
0.4133 (2.4194) & 6118.802834 \tabularnewline
0.416 (2.4038) & 1211.292414 \tabularnewline
0.4187 (2.3885) & 397.078158 \tabularnewline
0.4213 (2.3734) & 9749.170846 \tabularnewline
0.424 (2.3585) & 5435.509539 \tabularnewline
0.4267 (2.3438) & 54595.969504 \tabularnewline
0.4293 (2.3292) & 5027.123197 \tabularnewline
0.432 (2.3148) & 18037.135074 \tabularnewline
0.4347 (2.3006) & 334912.933638 \tabularnewline
0.4373 (2.2866) & 10530.849775 \tabularnewline
0.44 (2.2727) & 25909.317109 \tabularnewline
0.4427 (2.259) & 501043.728818 \tabularnewline
0.4453 (2.2455) & 42625.556752 \tabularnewline
0.448 (2.2321) & 38271.589911 \tabularnewline
0.4507 (2.2189) & 273181.461154 \tabularnewline
0.4533 (2.2059) & 178302.219825 \tabularnewline
0.456 (2.193) & 160704.747569 \tabularnewline
0.4587 (2.1802) & 92627.791652 \tabularnewline
0.4613 (2.1676) & 112484.583743 \tabularnewline
0.464 (2.1552) & 184276.737679 \tabularnewline
0.4667 (2.1429) & 101824.560521 \tabularnewline
0.4693 (2.1307) & 94122.178098 \tabularnewline
0.472 (2.1186) & 69887.604961 \tabularnewline
0.4747 (2.1067) & 275121.404658 \tabularnewline
0.4773 (2.095) & 4563.680706 \tabularnewline
0.48 (2.0833) & 50482.931219 \tabularnewline
0.4827 (2.0718) & 80494.191662 \tabularnewline
0.4853 (2.0604) & 10491.227589 \tabularnewline
0.488 (2.0492) & 38116.675398 \tabularnewline
0.4907 (2.038) & 14265.425844 \tabularnewline
0.4933 (2.027) & 2879.607431 \tabularnewline
0.496 (2.0161) & 6742.664461 \tabularnewline
0.4987 (2.0053) & 942.600902 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200622&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0027 (375)[/C][C]10086589.551167[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]3186474.237536[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]43059294.698472[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]107960334.610017[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]78245093.192488[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]12840416.617564[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]54640212.200582[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]14901320.547264[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]16984832.925123[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]36831920.984206[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]23011276.771766[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]24915753.598893[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]2705633.195211[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]8427866.272273[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]4109295.145728[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]4650139.650698[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]9661928.103588[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]4249901.884399[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]3410252.096734[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]2080231.751209[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]1376006.421247[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]4402335.762515[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]525511.12695[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]2510152.703229[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]2547529.637877[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]612346.874949[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]765915.888159[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]416971.571493[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]252560.326999[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]19328.55156[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]17423.375892[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]21588.0251[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]45968.983801[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]188448.020932[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]61094.208231[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]681610.793346[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]1835264.129873[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]521893.06248[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]378194.317537[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]2193195.490265[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]47829.498652[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]580004.741099[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]532323.393096[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]1405962.724226[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]2009057.145286[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]399962.45145[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]845823.634928[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]3071382.67875[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]2166582.599905[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]607068.935611[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]39392.343382[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]896616.306293[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]96373.753794[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]452339.467051[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]542024.058802[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]130051.464881[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]658951.847363[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]221267.531752[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]90166.991628[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]75894.761263[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]34316.71008[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]6547.638424[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]8594.660061[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]3995.48329[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]5304.926753[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]16215.231344[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]151658.974472[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]282063.286284[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]33325.35767[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]694648.839712[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]1187590.729278[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]272111.05924[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]1123788.00486[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]1300674.202673[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]59920.164547[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]312860.460152[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]623509.14251[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]902171.821849[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]1009758.70666[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]248615.688095[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]1936612.01786[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]280992.077759[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]138477.39392[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]1057371.573346[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]703222.579399[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]227930.24823[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]47595.903994[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]219744.783933[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]333560.479688[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]2154.932037[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]25681.480151[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]13326.551993[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]13259.533066[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]664.833332[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]4339.983468[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]104883.251502[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]16035.242219[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]37470.626994[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]315750.468473[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]275062.831152[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]237954.250033[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]85357.446841[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]874402.128569[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]655629.078461[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]124195.265193[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]47600.005673[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]585247.785973[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]633403.781584[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]232473.744132[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]616625.702826[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]957542.951086[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]407749.919275[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]215557.016868[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]626249.99793[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]268426.876416[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]60680.17493[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]91030.979466[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]153365.9235[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]170814.907291[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]1845.895603[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]16273.309473[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]52197.085184[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]15079.715651[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]5392.474389[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]936.321818[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]762.064786[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]7198.812339[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]18067.201061[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]160383.411896[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]85493.223562[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]12748.994281[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]90879.270428[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]378879.187365[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]92066.320795[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]51392.983212[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]741354.418173[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]295193.344952[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]221940.025566[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]290352.229701[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]127005.603166[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]857508.970146[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]4006.783407[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]8328.321223[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]588252.379535[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]95883.050597[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]8366.868509[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]338571.867518[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]249150.967021[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]16212.309282[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]36681.262872[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]46396.083201[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]92708.952271[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]4630.685163[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]2265.576048[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]6118.802834[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]1211.292414[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]397.078158[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]9749.170846[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]5435.509539[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]54595.969504[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]5027.123197[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]18037.135074[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]334912.933638[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]10530.849775[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]25909.317109[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]501043.728818[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]42625.556752[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]38271.589911[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]273181.461154[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]178302.219825[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]160704.747569[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]92627.791652[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]112484.583743[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]184276.737679[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]101824.560521[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]94122.178098[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]69887.604961[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]275121.404658[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]4563.680706[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]50482.931219[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]80494.191662[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]10491.227589[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]38116.675398[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]14265.425844[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]2879.607431[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]6742.664461[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]942.600902[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200622&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200622&T=1

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


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

Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)10086589.551167
0.0053 (187.5)3186474.237536
0.008 (125)43059294.698472
0.0107 (93.75)107960334.610017
0.0133 (75)78245093.192488
0.016 (62.5)12840416.617564
0.0187 (53.5714)54640212.200582
0.0213 (46.875)14901320.547264
0.024 (41.6667)16984832.925123
0.0267 (37.5)36831920.984206
0.0293 (34.0909)23011276.771766
0.032 (31.25)24915753.598893
0.0347 (28.8462)2705633.195211
0.0373 (26.7857)8427866.272273
0.04 (25)4109295.145728
0.0427 (23.4375)4650139.650698
0.0453 (22.0588)9661928.103588
0.048 (20.8333)4249901.884399
0.0507 (19.7368)3410252.096734
0.0533 (18.75)2080231.751209
0.056 (17.8571)1376006.421247
0.0587 (17.0455)4402335.762515
0.0613 (16.3043)525511.12695
0.064 (15.625)2510152.703229
0.0667 (15)2547529.637877
0.0693 (14.4231)612346.874949
0.072 (13.8889)765915.888159
0.0747 (13.3929)416971.571493
0.0773 (12.931)252560.326999
0.08 (12.5)19328.55156
0.0827 (12.0968)17423.375892
0.0853 (11.7188)21588.0251
0.088 (11.3636)45968.983801
0.0907 (11.0294)188448.020932
0.0933 (10.7143)61094.208231
0.096 (10.4167)681610.793346
0.0987 (10.1351)1835264.129873
0.1013 (9.8684)521893.06248
0.104 (9.6154)378194.317537
0.1067 (9.375)2193195.490265
0.1093 (9.1463)47829.498652
0.112 (8.9286)580004.741099
0.1147 (8.7209)532323.393096
0.1173 (8.5227)1405962.724226
0.12 (8.3333)2009057.145286
0.1227 (8.1522)399962.45145
0.1253 (7.9787)845823.634928
0.128 (7.8125)3071382.67875
0.1307 (7.6531)2166582.599905
0.1333 (7.5)607068.935611
0.136 (7.3529)39392.343382
0.1387 (7.2115)896616.306293
0.1413 (7.0755)96373.753794
0.144 (6.9444)452339.467051
0.1467 (6.8182)542024.058802
0.1493 (6.6964)130051.464881
0.152 (6.5789)658951.847363
0.1547 (6.4655)221267.531752
0.1573 (6.3559)90166.991628
0.16 (6.25)75894.761263
0.1627 (6.1475)34316.71008
0.1653 (6.0484)6547.638424
0.168 (5.9524)8594.660061
0.1707 (5.8594)3995.48329
0.1733 (5.7692)5304.926753
0.176 (5.6818)16215.231344
0.1787 (5.597)151658.974472
0.1813 (5.5147)282063.286284
0.184 (5.4348)33325.35767
0.1867 (5.3571)694648.839712
0.1893 (5.2817)1187590.729278
0.192 (5.2083)272111.05924
0.1947 (5.137)1123788.00486
0.1973 (5.0676)1300674.202673
0.2 (5)59920.164547
0.2027 (4.9342)312860.460152
0.2053 (4.8701)623509.14251
0.208 (4.8077)902171.821849
0.2107 (4.7468)1009758.70666
0.2133 (4.6875)248615.688095
0.216 (4.6296)1936612.01786
0.2187 (4.5732)280992.077759
0.2213 (4.5181)138477.39392
0.224 (4.4643)1057371.573346
0.2267 (4.4118)703222.579399
0.2293 (4.3605)227930.24823
0.232 (4.3103)47595.903994
0.2347 (4.2614)219744.783933
0.2373 (4.2135)333560.479688
0.24 (4.1667)2154.932037
0.2427 (4.1209)25681.480151
0.2453 (4.0761)13326.551993
0.248 (4.0323)13259.533066
0.2507 (3.9894)664.833332
0.2533 (3.9474)4339.983468
0.256 (3.9062)104883.251502
0.2587 (3.866)16035.242219
0.2613 (3.8265)37470.626994
0.264 (3.7879)315750.468473
0.2667 (3.75)275062.831152
0.2693 (3.7129)237954.250033
0.272 (3.6765)85357.446841
0.2747 (3.6408)874402.128569
0.2773 (3.6058)655629.078461
0.28 (3.5714)124195.265193
0.2827 (3.5377)47600.005673
0.2853 (3.5047)585247.785973
0.288 (3.4722)633403.781584
0.2907 (3.4404)232473.744132
0.2933 (3.4091)616625.702826
0.296 (3.3784)957542.951086
0.2987 (3.3482)407749.919275
0.3013 (3.3186)215557.016868
0.304 (3.2895)626249.99793
0.3067 (3.2609)268426.876416
0.3093 (3.2328)60680.17493
0.312 (3.2051)91030.979466
0.3147 (3.178)153365.9235
0.3173 (3.1513)170814.907291
0.32 (3.125)1845.895603
0.3227 (3.0992)16273.309473
0.3253 (3.0738)52197.085184
0.328 (3.0488)15079.715651
0.3307 (3.0242)5392.474389
0.3333 (3)936.321818
0.336 (2.9762)762.064786
0.3387 (2.9528)7198.812339
0.3413 (2.9297)18067.201061
0.344 (2.907)160383.411896
0.3467 (2.8846)85493.223562
0.3493 (2.8626)12748.994281
0.352 (2.8409)90879.270428
0.3547 (2.8195)378879.187365
0.3573 (2.7985)92066.320795
0.36 (2.7778)51392.983212
0.3627 (2.7574)741354.418173
0.3653 (2.7372)295193.344952
0.368 (2.7174)221940.025566
0.3707 (2.6978)290352.229701
0.3733 (2.6786)127005.603166
0.376 (2.6596)857508.970146
0.3787 (2.6408)4006.783407
0.3813 (2.6224)8328.321223
0.384 (2.6042)588252.379535
0.3867 (2.5862)95883.050597
0.3893 (2.5685)8366.868509
0.392 (2.551)338571.867518
0.3947 (2.5338)249150.967021
0.3973 (2.5168)16212.309282
0.4 (2.5)36681.262872
0.4027 (2.4834)46396.083201
0.4053 (2.4671)92708.952271
0.408 (2.451)4630.685163
0.4107 (2.4351)2265.576048
0.4133 (2.4194)6118.802834
0.416 (2.4038)1211.292414
0.4187 (2.3885)397.078158
0.4213 (2.3734)9749.170846
0.424 (2.3585)5435.509539
0.4267 (2.3438)54595.969504
0.4293 (2.3292)5027.123197
0.432 (2.3148)18037.135074
0.4347 (2.3006)334912.933638
0.4373 (2.2866)10530.849775
0.44 (2.2727)25909.317109
0.4427 (2.259)501043.728818
0.4453 (2.2455)42625.556752
0.448 (2.2321)38271.589911
0.4507 (2.2189)273181.461154
0.4533 (2.2059)178302.219825
0.456 (2.193)160704.747569
0.4587 (2.1802)92627.791652
0.4613 (2.1676)112484.583743
0.464 (2.1552)184276.737679
0.4667 (2.1429)101824.560521
0.4693 (2.1307)94122.178098
0.472 (2.1186)69887.604961
0.4747 (2.1067)275121.404658
0.4773 (2.095)4563.680706
0.48 (2.0833)50482.931219
0.4827 (2.0718)80494.191662
0.4853 (2.0604)10491.227589
0.488 (2.0492)38116.675398
0.4907 (2.038)14265.425844
0.4933 (2.027)2879.607431
0.496 (2.0161)6742.664461
0.4987 (2.0053)942.600902


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; 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')