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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 computationMon, 08 Dec 2008 12:04:59 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/08/t1228763153111wn72pe0mdlnl.htm/, Retrieved Thu, 16 May 2024 17:30:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30735, Retrieved Thu, 16 May 2024 17:30:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsARMA proces WS5 Q2: Spectral analys
Estimated Impact187

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [Standard Deviation-Mean Plot] [ARMA proces WS5 Q...] [2008-12-08 18:26:08] [47f64d63202c1921bd27f3073f07a153]
F RM      [Variance Reduction Matrix] [ARMA proces WS5 Q...] [2008-12-08 18:38:24] [47f64d63202c1921bd27f3073f07a153]
- RMP       [(Partial) Autocorrelation Function] [ARMA proces WS5 Q...] [2008-12-08 18:44:52] [47f64d63202c1921bd27f3073f07a153]
-   P         [(Partial) Autocorrelation Function] [ARMA proces WS5 Q...] [2008-12-08 18:50:21] [47f64d63202c1921bd27f3073f07a153]
F   P           [(Partial) Autocorrelation Function] [ARMA proces WS5 Q...] [2008-12-08 18:53:02] [47f64d63202c1921bd27f3073f07a153]
-   P             [(Partial) Autocorrelation Function] [ARMA proces WS5 Q...] [2008-12-08 18:57:23] [47f64d63202c1921bd27f3073f07a153]
F RMP               [Spectral Analysis] [ARMA proces WS5 Q...] [2008-12-08 19:01:20] [47f64d63202c1921bd27f3073f07a153]
F   P                 [Spectral Analysis] [ARMA proces WS5 Q...] [2008-12-08 19:03:44] [47f64d63202c1921bd27f3073f07a153]
F   P                     [Spectral Analysis] [ARMA proces WS5 Q...] [2008-12-08 19:04:59] [74c7506a1ea162af3aa8be25bcd05d28] [Current]
-                           [Spectral Analysis] [ARMA proces WS5 Q...] [2008-12-08 19:28:19] [47f64d63202c1921bd27f3073f07a153]
F RM                          [(Partial) Autocorrelation Function] [ARMA proces WS5 Q...] [2008-12-08 19:32:37] [47f64d63202c1921bd27f3073f07a153]
F RM                            [ARIMA Backward Selection] [ARMA proces WS5 Q...] [2008-12-08 20:01:06] [47f64d63202c1921bd27f3073f07a153]
Feedback Forum
2008-12-11 10:46:13 [72e979bcc364082694890d2eccc1a66f] [reply] 
In het cumulatief periodogram is de trapbeweging verdwenen wat er op wijst dat er geen seizoenaliteit meer is. De stippellijnen geven het betrouwbaarheidsinterval weer. Het periodogram valt hier niet volledig binnen. Het model kan dus nog verbeterd worden. Het uiteindelijke doel is dat het cumulatief periodogram binnen stippellijnen valt. We hebben hier waarschijnlijke te maken met conjunctuur.
Ook hier heeft de student de fases correct doorlopen.
2008-12-15 19:06:22 [Bénédicte Soens] [reply] 
Na alle stappen van het differentieren te hebben toegepast (d=1 en D=1)bekomen we een stationaire tijdreeks. Deze is inderdaad niet helemaal correct want het valt voor een groot deel buiten het 95% betrouwbaarheidsinterval. Dit kan te wijten zijn aan de conjunctuur.
De uitleg was correct.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30735&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30735&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30735&T=0

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


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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
0.0028 (360)28.47367
0.0056 (180)414.292161
0.0083 (120)104.659583
0.0111 (90)527.62959
0.0139 (72)436.831196
0.0167 (60)631.528207
0.0194 (51.4286)5839.526931
0.0222 (45)1169.573349
0.025 (40)5072.18807
0.0278 (36)2213.515735
0.0306 (32.7273)852.336707
0.0333 (30)530.526269
0.0361 (27.6923)11261.18092
0.0389 (25.7143)6978.078336
0.0417 (24)459.614366
0.0444 (22.5)3692.814056
0.0472 (21.1765)2628.95551
0.05 (20)775.979553
0.0528 (18.9474)2893.995714
0.0556 (18)2214.011437
0.0583 (17.1429)3355.14256
0.0611 (16.3636)1307.491068
0.0639 (15.6522)1376.503128
0.0667 (15)267.588572
0.0694 (14.4)51.710806
0.0722 (13.8462)0.898643
0.075 (13.3333)261.375885
0.0778 (12.8571)119.199203
0.0806 (12.4138)87.080052
0.0833 (12)19.728341
0.0861 (11.6129)20.250833
0.0889 (11.25)412.746472
0.0917 (10.9091)55.508656
0.0944 (10.5882)1.792884
0.0972 (10.2857)67.226566
0.1 (10)1059.920249
0.1028 (9.7297)3108.735703
0.1056 (9.4737)139.152789
0.1083 (9.2308)635.633722
0.1111 (9)1.215956
0.1139 (8.7805)1017.652401
0.1167 (8.5714)518.062615
0.1194 (8.3721)975.699483
0.1222 (8.1818)1066.396239
0.125 (8)1180.319748
0.1278 (7.8261)351.203644
0.1306 (7.6596)286.661143
0.1333 (7.5)1571.981167
0.1361 (7.3469)725.70512
0.1389 (7.2)60.092625
0.1417 (7.0588)900.764046
0.1444 (6.9231)667.595856
0.1472 (6.7925)993.521882
0.15 (6.6667)475.721172
0.1528 (6.5455)195.122165
0.1556 (6.4286)98.909622
0.1583 (6.3158)97.311996
0.1611 (6.2069)164.320589
0.1639 (6.1017)98.431157
0.1667 (6)33.698325
0.1694 (5.9016)50.550402
0.1722 (5.8065)375.472754
0.175 (5.7143)8.511937
0.1778 (5.625)160.861268
0.1806 (5.5385)127.439707
0.1833 (5.4545)551.137581
0.1861 (5.3731)297.839469
0.1889 (5.2941)260.703525
0.1917 (5.2174)7.981103
0.1944 (5.1429)1564.389383
0.1972 (5.0704)239.758911
0.2 (5)625.813898
0.2028 (4.9315)2321.90262
0.2056 (4.8649)2869.556434
0.2083 (4.8)1573.859437
0.2111 (4.7368)108.639417
0.2139 (4.6753)935.298211
0.2167 (4.6154)842.467548
0.2194 (4.557)227.504124
0.2222 (4.5)148.088231
0.225 (4.4444)95.643432
0.2278 (4.3902)341.770836
0.2306 (4.3373)536.17233
0.2333 (4.2857)107.567867
0.2361 (4.2353)130.38183
0.2389 (4.186)8.213225
0.2417 (4.1379)745.338556
0.2444 (4.0909)29.698788
0.2472 (4.0449)43.691722
0.25 (4)41.908876
0.2528 (3.956)54.567587
0.2556 (3.913)38.196879
0.2583 (3.871)255.528431
0.2611 (3.8298)16.929041
0.2639 (3.7895)221.37186
0.2667 (3.75)278.820051
0.2694 (3.7113)1154.124681
0.2722 (3.6735)358.15741
0.275 (3.6364)801.474987
0.2778 (3.6)75.938049
0.2806 (3.5644)142.783243
0.2833 (3.5294)356.177064
0.2861 (3.4951)3060.81221
0.2889 (3.4615)20.760888
0.2917 (3.4286)182.723581
0.2944 (3.3962)370.419856
0.2972 (3.3645)63.884539
0.3 (3.3333)117.921087
0.3028 (3.3028)315.866478
0.3056 (3.2727)379.132894
0.3083 (3.2432)345.283894
0.3111 (3.2143)424.96728
0.3139 (3.1858)409.982604
0.3167 (3.1579)145.028319
0.3194 (3.1304)15.430093
0.3222 (3.1034)399.788866
0.325 (3.0769)31.899729
0.3278 (3.0508)62.383933
0.3306 (3.0252)118.884177
0.3333 (3)27.373487
0.3361 (2.9752)21.638867
0.3389 (2.9508)14.244087
0.3417 (2.9268)127.687918
0.3444 (2.9032)28.359501
0.3472 (2.88)112.571672
0.35 (2.8571)1019.932187
0.3528 (2.8346)473.066131
0.3556 (2.8125)489.421993
0.3583 (2.7907)473.937598
0.3611 (2.7692)560.319681
0.3639 (2.7481)2248.32203
0.3667 (2.7273)116.734055
0.3694 (2.7068)238.708351
0.3722 (2.6866)660.480161
0.375 (2.6667)246.379527
0.3778 (2.6471)540.346449
0.3806 (2.6277)1259.722361
0.3833 (2.6087)788.06859
0.3861 (2.5899)196.688116
0.3889 (2.5714)668.642704
0.3917 (2.5532)1188.229112
0.3944 (2.5352)933.439352
0.3972 (2.5175)62.193625
0.4 (2.5)13.350142
0.4028 (2.4828)94.248396
0.4056 (2.4658)50.198259
0.4083 (2.449)81.026515
0.4111 (2.4324)114.513619
0.4139 (2.4161)20.642128
0.4167 (2.4)146.287264
0.4194 (2.3841)44.979104
0.4222 (2.3684)31.638169
0.425 (2.3529)60.237249
0.4278 (2.3377)43.173649
0.4306 (2.3226)589.170987
0.4333 (2.3077)622.959985
0.4361 (2.293)8.900882
0.4389 (2.2785)771.085924
0.4417 (2.2642)1006.968599
0.4444 (2.25)304.823593
0.4472 (2.236)1605.527866
0.45 (2.2222)261.96916
0.4528 (2.2086)505.50468
0.4556 (2.1951)3999.710889
0.4583 (2.1818)718.42606
0.4611 (2.1687)751.190363
0.4639 (2.1557)678.418759
0.4667 (2.1429)933.95044
0.4694 (2.1302)43.074796
0.4722 (2.1176)5855.746814
0.475 (2.1053)32.815179
0.4778 (2.093)1311.654262
0.4806 (2.0809)1699.615978
0.4833 (2.069)159.171774
0.4861 (2.0571)456.965247
0.4889 (2.0455)60.234123
0.4917 (2.0339)167.225704
0.4944 (2.0225)180.46487
0.4972 (2.0112)97.224213
0.5 (2)24.253402

\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
0.0028 (360) & 28.47367 \tabularnewline
0.0056 (180) & 414.292161 \tabularnewline
0.0083 (120) & 104.659583 \tabularnewline
0.0111 (90) & 527.62959 \tabularnewline
0.0139 (72) & 436.831196 \tabularnewline
0.0167 (60) & 631.528207 \tabularnewline
0.0194 (51.4286) & 5839.526931 \tabularnewline
0.0222 (45) & 1169.573349 \tabularnewline
0.025 (40) & 5072.18807 \tabularnewline
0.0278 (36) & 2213.515735 \tabularnewline
0.0306 (32.7273) & 852.336707 \tabularnewline
0.0333 (30) & 530.526269 \tabularnewline
0.0361 (27.6923) & 11261.18092 \tabularnewline
0.0389 (25.7143) & 6978.078336 \tabularnewline
0.0417 (24) & 459.614366 \tabularnewline
0.0444 (22.5) & 3692.814056 \tabularnewline
0.0472 (21.1765) & 2628.95551 \tabularnewline
0.05 (20) & 775.979553 \tabularnewline
0.0528 (18.9474) & 2893.995714 \tabularnewline
0.0556 (18) & 2214.011437 \tabularnewline
0.0583 (17.1429) & 3355.14256 \tabularnewline
0.0611 (16.3636) & 1307.491068 \tabularnewline
0.0639 (15.6522) & 1376.503128 \tabularnewline
0.0667 (15) & 267.588572 \tabularnewline
0.0694 (14.4) & 51.710806 \tabularnewline
0.0722 (13.8462) & 0.898643 \tabularnewline
0.075 (13.3333) & 261.375885 \tabularnewline
0.0778 (12.8571) & 119.199203 \tabularnewline
0.0806 (12.4138) & 87.080052 \tabularnewline
0.0833 (12) & 19.728341 \tabularnewline
0.0861 (11.6129) & 20.250833 \tabularnewline
0.0889 (11.25) & 412.746472 \tabularnewline
0.0917 (10.9091) & 55.508656 \tabularnewline
0.0944 (10.5882) & 1.792884 \tabularnewline
0.0972 (10.2857) & 67.226566 \tabularnewline
0.1 (10) & 1059.920249 \tabularnewline
0.1028 (9.7297) & 3108.735703 \tabularnewline
0.1056 (9.4737) & 139.152789 \tabularnewline
0.1083 (9.2308) & 635.633722 \tabularnewline
0.1111 (9) & 1.215956 \tabularnewline
0.1139 (8.7805) & 1017.652401 \tabularnewline
0.1167 (8.5714) & 518.062615 \tabularnewline
0.1194 (8.3721) & 975.699483 \tabularnewline
0.1222 (8.1818) & 1066.396239 \tabularnewline
0.125 (8) & 1180.319748 \tabularnewline
0.1278 (7.8261) & 351.203644 \tabularnewline
0.1306 (7.6596) & 286.661143 \tabularnewline
0.1333 (7.5) & 1571.981167 \tabularnewline
0.1361 (7.3469) & 725.70512 \tabularnewline
0.1389 (7.2) & 60.092625 \tabularnewline
0.1417 (7.0588) & 900.764046 \tabularnewline
0.1444 (6.9231) & 667.595856 \tabularnewline
0.1472 (6.7925) & 993.521882 \tabularnewline
0.15 (6.6667) & 475.721172 \tabularnewline
0.1528 (6.5455) & 195.122165 \tabularnewline
0.1556 (6.4286) & 98.909622 \tabularnewline
0.1583 (6.3158) & 97.311996 \tabularnewline
0.1611 (6.2069) & 164.320589 \tabularnewline
0.1639 (6.1017) & 98.431157 \tabularnewline
0.1667 (6) & 33.698325 \tabularnewline
0.1694 (5.9016) & 50.550402 \tabularnewline
0.1722 (5.8065) & 375.472754 \tabularnewline
0.175 (5.7143) & 8.511937 \tabularnewline
0.1778 (5.625) & 160.861268 \tabularnewline
0.1806 (5.5385) & 127.439707 \tabularnewline
0.1833 (5.4545) & 551.137581 \tabularnewline
0.1861 (5.3731) & 297.839469 \tabularnewline
0.1889 (5.2941) & 260.703525 \tabularnewline
0.1917 (5.2174) & 7.981103 \tabularnewline
0.1944 (5.1429) & 1564.389383 \tabularnewline
0.1972 (5.0704) & 239.758911 \tabularnewline
0.2 (5) & 625.813898 \tabularnewline
0.2028 (4.9315) & 2321.90262 \tabularnewline
0.2056 (4.8649) & 2869.556434 \tabularnewline
0.2083 (4.8) & 1573.859437 \tabularnewline
0.2111 (4.7368) & 108.639417 \tabularnewline
0.2139 (4.6753) & 935.298211 \tabularnewline
0.2167 (4.6154) & 842.467548 \tabularnewline
0.2194 (4.557) & 227.504124 \tabularnewline
0.2222 (4.5) & 148.088231 \tabularnewline
0.225 (4.4444) & 95.643432 \tabularnewline
0.2278 (4.3902) & 341.770836 \tabularnewline
0.2306 (4.3373) & 536.17233 \tabularnewline
0.2333 (4.2857) & 107.567867 \tabularnewline
0.2361 (4.2353) & 130.38183 \tabularnewline
0.2389 (4.186) & 8.213225 \tabularnewline
0.2417 (4.1379) & 745.338556 \tabularnewline
0.2444 (4.0909) & 29.698788 \tabularnewline
0.2472 (4.0449) & 43.691722 \tabularnewline
0.25 (4) & 41.908876 \tabularnewline
0.2528 (3.956) & 54.567587 \tabularnewline
0.2556 (3.913) & 38.196879 \tabularnewline
0.2583 (3.871) & 255.528431 \tabularnewline
0.2611 (3.8298) & 16.929041 \tabularnewline
0.2639 (3.7895) & 221.37186 \tabularnewline
0.2667 (3.75) & 278.820051 \tabularnewline
0.2694 (3.7113) & 1154.124681 \tabularnewline
0.2722 (3.6735) & 358.15741 \tabularnewline
0.275 (3.6364) & 801.474987 \tabularnewline
0.2778 (3.6) & 75.938049 \tabularnewline
0.2806 (3.5644) & 142.783243 \tabularnewline
0.2833 (3.5294) & 356.177064 \tabularnewline
0.2861 (3.4951) & 3060.81221 \tabularnewline
0.2889 (3.4615) & 20.760888 \tabularnewline
0.2917 (3.4286) & 182.723581 \tabularnewline
0.2944 (3.3962) & 370.419856 \tabularnewline
0.2972 (3.3645) & 63.884539 \tabularnewline
0.3 (3.3333) & 117.921087 \tabularnewline
0.3028 (3.3028) & 315.866478 \tabularnewline
0.3056 (3.2727) & 379.132894 \tabularnewline
0.3083 (3.2432) & 345.283894 \tabularnewline
0.3111 (3.2143) & 424.96728 \tabularnewline
0.3139 (3.1858) & 409.982604 \tabularnewline
0.3167 (3.1579) & 145.028319 \tabularnewline
0.3194 (3.1304) & 15.430093 \tabularnewline
0.3222 (3.1034) & 399.788866 \tabularnewline
0.325 (3.0769) & 31.899729 \tabularnewline
0.3278 (3.0508) & 62.383933 \tabularnewline
0.3306 (3.0252) & 118.884177 \tabularnewline
0.3333 (3) & 27.373487 \tabularnewline
0.3361 (2.9752) & 21.638867 \tabularnewline
0.3389 (2.9508) & 14.244087 \tabularnewline
0.3417 (2.9268) & 127.687918 \tabularnewline
0.3444 (2.9032) & 28.359501 \tabularnewline
0.3472 (2.88) & 112.571672 \tabularnewline
0.35 (2.8571) & 1019.932187 \tabularnewline
0.3528 (2.8346) & 473.066131 \tabularnewline
0.3556 (2.8125) & 489.421993 \tabularnewline
0.3583 (2.7907) & 473.937598 \tabularnewline
0.3611 (2.7692) & 560.319681 \tabularnewline
0.3639 (2.7481) & 2248.32203 \tabularnewline
0.3667 (2.7273) & 116.734055 \tabularnewline
0.3694 (2.7068) & 238.708351 \tabularnewline
0.3722 (2.6866) & 660.480161 \tabularnewline
0.375 (2.6667) & 246.379527 \tabularnewline
0.3778 (2.6471) & 540.346449 \tabularnewline
0.3806 (2.6277) & 1259.722361 \tabularnewline
0.3833 (2.6087) & 788.06859 \tabularnewline
0.3861 (2.5899) & 196.688116 \tabularnewline
0.3889 (2.5714) & 668.642704 \tabularnewline
0.3917 (2.5532) & 1188.229112 \tabularnewline
0.3944 (2.5352) & 933.439352 \tabularnewline
0.3972 (2.5175) & 62.193625 \tabularnewline
0.4 (2.5) & 13.350142 \tabularnewline
0.4028 (2.4828) & 94.248396 \tabularnewline
0.4056 (2.4658) & 50.198259 \tabularnewline
0.4083 (2.449) & 81.026515 \tabularnewline
0.4111 (2.4324) & 114.513619 \tabularnewline
0.4139 (2.4161) & 20.642128 \tabularnewline
0.4167 (2.4) & 146.287264 \tabularnewline
0.4194 (2.3841) & 44.979104 \tabularnewline
0.4222 (2.3684) & 31.638169 \tabularnewline
0.425 (2.3529) & 60.237249 \tabularnewline
0.4278 (2.3377) & 43.173649 \tabularnewline
0.4306 (2.3226) & 589.170987 \tabularnewline
0.4333 (2.3077) & 622.959985 \tabularnewline
0.4361 (2.293) & 8.900882 \tabularnewline
0.4389 (2.2785) & 771.085924 \tabularnewline
0.4417 (2.2642) & 1006.968599 \tabularnewline
0.4444 (2.25) & 304.823593 \tabularnewline
0.4472 (2.236) & 1605.527866 \tabularnewline
0.45 (2.2222) & 261.96916 \tabularnewline
0.4528 (2.2086) & 505.50468 \tabularnewline
0.4556 (2.1951) & 3999.710889 \tabularnewline
0.4583 (2.1818) & 718.42606 \tabularnewline
0.4611 (2.1687) & 751.190363 \tabularnewline
0.4639 (2.1557) & 678.418759 \tabularnewline
0.4667 (2.1429) & 933.95044 \tabularnewline
0.4694 (2.1302) & 43.074796 \tabularnewline
0.4722 (2.1176) & 5855.746814 \tabularnewline
0.475 (2.1053) & 32.815179 \tabularnewline
0.4778 (2.093) & 1311.654262 \tabularnewline
0.4806 (2.0809) & 1699.615978 \tabularnewline
0.4833 (2.069) & 159.171774 \tabularnewline
0.4861 (2.0571) & 456.965247 \tabularnewline
0.4889 (2.0455) & 60.234123 \tabularnewline
0.4917 (2.0339) & 167.225704 \tabularnewline
0.4944 (2.0225) & 180.46487 \tabularnewline
0.4972 (2.0112) & 97.224213 \tabularnewline
0.5 (2) & 24.253402 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30735&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]0.0028 (360)[/C][C]28.47367[/C][/ROW]
[ROW][C]0.0056 (180)[/C][C]414.292161[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]104.659583[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]527.62959[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]436.831196[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]631.528207[/C][/ROW]
[ROW][C]0.0194 (51.4286)[/C][C]5839.526931[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]1169.573349[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]5072.18807[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2213.515735[/C][/ROW]
[ROW][C]0.0306 (32.7273)[/C][C]852.336707[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]530.526269[/C][/ROW]
[ROW][C]0.0361 (27.6923)[/C][C]11261.18092[/C][/ROW]
[ROW][C]0.0389 (25.7143)[/C][C]6978.078336[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]459.614366[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]3692.814056[/C][/ROW]
[ROW][C]0.0472 (21.1765)[/C][C]2628.95551[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]775.979553[/C][/ROW]
[ROW][C]0.0528 (18.9474)[/C][C]2893.995714[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]2214.011437[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]3355.14256[/C][/ROW]
[ROW][C]0.0611 (16.3636)[/C][C]1307.491068[/C][/ROW]
[ROW][C]0.0639 (15.6522)[/C][C]1376.503128[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]267.588572[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]51.710806[/C][/ROW]
[ROW][C]0.0722 (13.8462)[/C][C]0.898643[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]261.375885[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]119.199203[/C][/ROW]
[ROW][C]0.0806 (12.4138)[/C][C]87.080052[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]19.728341[/C][/ROW]
[ROW][C]0.0861 (11.6129)[/C][C]20.250833[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]412.746472[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]55.508656[/C][/ROW]
[ROW][C]0.0944 (10.5882)[/C][C]1.792884[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]67.226566[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]1059.920249[/C][/ROW]
[ROW][C]0.1028 (9.7297)[/C][C]3108.735703[/C][/ROW]
[ROW][C]0.1056 (9.4737)[/C][C]139.152789[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]635.633722[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]1.215956[/C][/ROW]
[ROW][C]0.1139 (8.7805)[/C][C]1017.652401[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]518.062615[/C][/ROW]
[ROW][C]0.1194 (8.3721)[/C][C]975.699483[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]1066.396239[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]1180.319748[/C][/ROW]
[ROW][C]0.1278 (7.8261)[/C][C]351.203644[/C][/ROW]
[ROW][C]0.1306 (7.6596)[/C][C]286.661143[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1571.981167[/C][/ROW]
[ROW][C]0.1361 (7.3469)[/C][C]725.70512[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]60.092625[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]900.764046[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]667.595856[/C][/ROW]
[ROW][C]0.1472 (6.7925)[/C][C]993.521882[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]475.721172[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]195.122165[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]98.909622[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]97.311996[/C][/ROW]
[ROW][C]0.1611 (6.2069)[/C][C]164.320589[/C][/ROW]
[ROW][C]0.1639 (6.1017)[/C][C]98.431157[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]33.698325[/C][/ROW]
[ROW][C]0.1694 (5.9016)[/C][C]50.550402[/C][/ROW]
[ROW][C]0.1722 (5.8065)[/C][C]375.472754[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]8.511937[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]160.861268[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]127.439707[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]551.137581[/C][/ROW]
[ROW][C]0.1861 (5.3731)[/C][C]297.839469[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]260.703525[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]7.981103[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]1564.389383[/C][/ROW]
[ROW][C]0.1972 (5.0704)[/C][C]239.758911[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]625.813898[/C][/ROW]
[ROW][C]0.2028 (4.9315)[/C][C]2321.90262[/C][/ROW]
[ROW][C]0.2056 (4.8649)[/C][C]2869.556434[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]1573.859437[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]108.639417[/C][/ROW]
[ROW][C]0.2139 (4.6753)[/C][C]935.298211[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]842.467548[/C][/ROW]
[ROW][C]0.2194 (4.557)[/C][C]227.504124[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]148.088231[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]95.643432[/C][/ROW]
[ROW][C]0.2278 (4.3902)[/C][C]341.770836[/C][/ROW]
[ROW][C]0.2306 (4.3373)[/C][C]536.17233[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]107.567867[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]130.38183[/C][/ROW]
[ROW][C]0.2389 (4.186)[/C][C]8.213225[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]745.338556[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]29.698788[/C][/ROW]
[ROW][C]0.2472 (4.0449)[/C][C]43.691722[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]41.908876[/C][/ROW]
[ROW][C]0.2528 (3.956)[/C][C]54.567587[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]38.196879[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]255.528431[/C][/ROW]
[ROW][C]0.2611 (3.8298)[/C][C]16.929041[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]221.37186[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]278.820051[/C][/ROW]
[ROW][C]0.2694 (3.7113)[/C][C]1154.124681[/C][/ROW]
[ROW][C]0.2722 (3.6735)[/C][C]358.15741[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]801.474987[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]75.938049[/C][/ROW]
[ROW][C]0.2806 (3.5644)[/C][C]142.783243[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]356.177064[/C][/ROW]
[ROW][C]0.2861 (3.4951)[/C][C]3060.81221[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]20.760888[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]182.723581[/C][/ROW]
[ROW][C]0.2944 (3.3962)[/C][C]370.419856[/C][/ROW]
[ROW][C]0.2972 (3.3645)[/C][C]63.884539[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]117.921087[/C][/ROW]
[ROW][C]0.3028 (3.3028)[/C][C]315.866478[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]379.132894[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]345.283894[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]424.96728[/C][/ROW]
[ROW][C]0.3139 (3.1858)[/C][C]409.982604[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]145.028319[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]15.430093[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]399.788866[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]31.899729[/C][/ROW]
[ROW][C]0.3278 (3.0508)[/C][C]62.383933[/C][/ROW]
[ROW][C]0.3306 (3.0252)[/C][C]118.884177[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]27.373487[/C][/ROW]
[ROW][C]0.3361 (2.9752)[/C][C]21.638867[/C][/ROW]
[ROW][C]0.3389 (2.9508)[/C][C]14.244087[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]127.687918[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]28.359501[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]112.571672[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]1019.932187[/C][/ROW]
[ROW][C]0.3528 (2.8346)[/C][C]473.066131[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]489.421993[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]473.937598[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]560.319681[/C][/ROW]
[ROW][C]0.3639 (2.7481)[/C][C]2248.32203[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]116.734055[/C][/ROW]
[ROW][C]0.3694 (2.7068)[/C][C]238.708351[/C][/ROW]
[ROW][C]0.3722 (2.6866)[/C][C]660.480161[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]246.379527[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]540.346449[/C][/ROW]
[ROW][C]0.3806 (2.6277)[/C][C]1259.722361[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]788.06859[/C][/ROW]
[ROW][C]0.3861 (2.5899)[/C][C]196.688116[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]668.642704[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]1188.229112[/C][/ROW]
[ROW][C]0.3944 (2.5352)[/C][C]933.439352[/C][/ROW]
[ROW][C]0.3972 (2.5175)[/C][C]62.193625[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]13.350142[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]94.248396[/C][/ROW]
[ROW][C]0.4056 (2.4658)[/C][C]50.198259[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]81.026515[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]114.513619[/C][/ROW]
[ROW][C]0.4139 (2.4161)[/C][C]20.642128[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]146.287264[/C][/ROW]
[ROW][C]0.4194 (2.3841)[/C][C]44.979104[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]31.638169[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]60.237249[/C][/ROW]
[ROW][C]0.4278 (2.3377)[/C][C]43.173649[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]589.170987[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]622.959985[/C][/ROW]
[ROW][C]0.4361 (2.293)[/C][C]8.900882[/C][/ROW]
[ROW][C]0.4389 (2.2785)[/C][C]771.085924[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]1006.968599[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]304.823593[/C][/ROW]
[ROW][C]0.4472 (2.236)[/C][C]1605.527866[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]261.96916[/C][/ROW]
[ROW][C]0.4528 (2.2086)[/C][C]505.50468[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]3999.710889[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]718.42606[/C][/ROW]
[ROW][C]0.4611 (2.1687)[/C][C]751.190363[/C][/ROW]
[ROW][C]0.4639 (2.1557)[/C][C]678.418759[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]933.95044[/C][/ROW]
[ROW][C]0.4694 (2.1302)[/C][C]43.074796[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]5855.746814[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]32.815179[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]1311.654262[/C][/ROW]
[ROW][C]0.4806 (2.0809)[/C][C]1699.615978[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]159.171774[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]456.965247[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]60.234123[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]167.225704[/C][/ROW]
[ROW][C]0.4944 (2.0225)[/C][C]180.46487[/C][/ROW]
[ROW][C]0.4972 (2.0112)[/C][C]97.224213[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]24.253402[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30735&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30735&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
0.0028 (360)28.47367
0.0056 (180)414.292161
0.0083 (120)104.659583
0.0111 (90)527.62959
0.0139 (72)436.831196
0.0167 (60)631.528207
0.0194 (51.4286)5839.526931
0.0222 (45)1169.573349
0.025 (40)5072.18807
0.0278 (36)2213.515735
0.0306 (32.7273)852.336707
0.0333 (30)530.526269
0.0361 (27.6923)11261.18092
0.0389 (25.7143)6978.078336
0.0417 (24)459.614366
0.0444 (22.5)3692.814056
0.0472 (21.1765)2628.95551
0.05 (20)775.979553
0.0528 (18.9474)2893.995714
0.0556 (18)2214.011437
0.0583 (17.1429)3355.14256
0.0611 (16.3636)1307.491068
0.0639 (15.6522)1376.503128
0.0667 (15)267.588572
0.0694 (14.4)51.710806
0.0722 (13.8462)0.898643
0.075 (13.3333)261.375885
0.0778 (12.8571)119.199203
0.0806 (12.4138)87.080052
0.0833 (12)19.728341
0.0861 (11.6129)20.250833
0.0889 (11.25)412.746472
0.0917 (10.9091)55.508656
0.0944 (10.5882)1.792884
0.0972 (10.2857)67.226566
0.1 (10)1059.920249
0.1028 (9.7297)3108.735703
0.1056 (9.4737)139.152789
0.1083 (9.2308)635.633722
0.1111 (9)1.215956
0.1139 (8.7805)1017.652401
0.1167 (8.5714)518.062615
0.1194 (8.3721)975.699483
0.1222 (8.1818)1066.396239
0.125 (8)1180.319748
0.1278 (7.8261)351.203644
0.1306 (7.6596)286.661143
0.1333 (7.5)1571.981167
0.1361 (7.3469)725.70512
0.1389 (7.2)60.092625
0.1417 (7.0588)900.764046
0.1444 (6.9231)667.595856
0.1472 (6.7925)993.521882
0.15 (6.6667)475.721172
0.1528 (6.5455)195.122165
0.1556 (6.4286)98.909622
0.1583 (6.3158)97.311996
0.1611 (6.2069)164.320589
0.1639 (6.1017)98.431157
0.1667 (6)33.698325
0.1694 (5.9016)50.550402
0.1722 (5.8065)375.472754
0.175 (5.7143)8.511937
0.1778 (5.625)160.861268
0.1806 (5.5385)127.439707
0.1833 (5.4545)551.137581
0.1861 (5.3731)297.839469
0.1889 (5.2941)260.703525
0.1917 (5.2174)7.981103
0.1944 (5.1429)1564.389383
0.1972 (5.0704)239.758911
0.2 (5)625.813898
0.2028 (4.9315)2321.90262
0.2056 (4.8649)2869.556434
0.2083 (4.8)1573.859437
0.2111 (4.7368)108.639417
0.2139 (4.6753)935.298211
0.2167 (4.6154)842.467548
0.2194 (4.557)227.504124
0.2222 (4.5)148.088231
0.225 (4.4444)95.643432
0.2278 (4.3902)341.770836
0.2306 (4.3373)536.17233
0.2333 (4.2857)107.567867
0.2361 (4.2353)130.38183
0.2389 (4.186)8.213225
0.2417 (4.1379)745.338556
0.2444 (4.0909)29.698788
0.2472 (4.0449)43.691722
0.25 (4)41.908876
0.2528 (3.956)54.567587
0.2556 (3.913)38.196879
0.2583 (3.871)255.528431
0.2611 (3.8298)16.929041
0.2639 (3.7895)221.37186
0.2667 (3.75)278.820051
0.2694 (3.7113)1154.124681
0.2722 (3.6735)358.15741
0.275 (3.6364)801.474987
0.2778 (3.6)75.938049
0.2806 (3.5644)142.783243
0.2833 (3.5294)356.177064
0.2861 (3.4951)3060.81221
0.2889 (3.4615)20.760888
0.2917 (3.4286)182.723581
0.2944 (3.3962)370.419856
0.2972 (3.3645)63.884539
0.3 (3.3333)117.921087
0.3028 (3.3028)315.866478
0.3056 (3.2727)379.132894
0.3083 (3.2432)345.283894
0.3111 (3.2143)424.96728
0.3139 (3.1858)409.982604
0.3167 (3.1579)145.028319
0.3194 (3.1304)15.430093
0.3222 (3.1034)399.788866
0.325 (3.0769)31.899729
0.3278 (3.0508)62.383933
0.3306 (3.0252)118.884177
0.3333 (3)27.373487
0.3361 (2.9752)21.638867
0.3389 (2.9508)14.244087
0.3417 (2.9268)127.687918
0.3444 (2.9032)28.359501
0.3472 (2.88)112.571672
0.35 (2.8571)1019.932187
0.3528 (2.8346)473.066131
0.3556 (2.8125)489.421993
0.3583 (2.7907)473.937598
0.3611 (2.7692)560.319681
0.3639 (2.7481)2248.32203
0.3667 (2.7273)116.734055
0.3694 (2.7068)238.708351
0.3722 (2.6866)660.480161
0.375 (2.6667)246.379527
0.3778 (2.6471)540.346449
0.3806 (2.6277)1259.722361
0.3833 (2.6087)788.06859
0.3861 (2.5899)196.688116
0.3889 (2.5714)668.642704
0.3917 (2.5532)1188.229112
0.3944 (2.5352)933.439352
0.3972 (2.5175)62.193625
0.4 (2.5)13.350142
0.4028 (2.4828)94.248396
0.4056 (2.4658)50.198259
0.4083 (2.449)81.026515
0.4111 (2.4324)114.513619
0.4139 (2.4161)20.642128
0.4167 (2.4)146.287264
0.4194 (2.3841)44.979104
0.4222 (2.3684)31.638169
0.425 (2.3529)60.237249
0.4278 (2.3377)43.173649
0.4306 (2.3226)589.170987
0.4333 (2.3077)622.959985
0.4361 (2.293)8.900882
0.4389 (2.2785)771.085924
0.4417 (2.2642)1006.968599
0.4444 (2.25)304.823593
0.4472 (2.236)1605.527866
0.45 (2.2222)261.96916
0.4528 (2.2086)505.50468
0.4556 (2.1951)3999.710889
0.4583 (2.1818)718.42606
0.4611 (2.1687)751.190363
0.4639 (2.1557)678.418759
0.4667 (2.1429)933.95044
0.4694 (2.1302)43.074796
0.4722 (2.1176)5855.746814
0.475 (2.1053)32.815179
0.4778 (2.093)1311.654262
0.4806 (2.0809)1699.615978
0.4833 (2.069)159.171774
0.4861 (2.0571)456.965247
0.4889 (2.0455)60.234123
0.4917 (2.0339)167.225704
0.4944 (2.0225)180.46487
0.4972 (2.0112)97.224213
0.5 (2)24.253402


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')