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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, 12 Dec 2010 14:54:41 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292165561q42f64kxeh4lskz.htm/, Retrieved Tue, 07 May 2024 07:29:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108494, Retrieved Tue, 07 May 2024 07:29:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

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]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
- R  D    [Spectral Analysis] [ws9] [2010-12-04 14:25:47] [c7506ced21a6c0dca45d37c8a93c80e0]
- R PD        [Spectral Analysis] [Paper] [2010-12-12 14:54:41] [0cadca125c925bcc9e6efbdd1941e458] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
25.2609
16.8622
13.3181
12.5621
14.2754
12.2961
10.0871
13.5117
13.9921
13.6932
14.4211
15.3397
16.5182
15.2809
15.6204
15.5698
15.9458
16.4063
17.55
17.0353
16.0591
16.3643
14.6527
13.4664
13.3266
13.1823
12.113
13.354
13.4537
13.2715
13.1959
13.5542
12.124
10.967
10.9201
12.5971
14.3177
14.2471
16.0926
17.1334
16.5866
16.361
15.8494
15.5932
16.6387
16.8312
16.5044
16.5556
16.7469
15.9543
15.5888
14.3945
13.8889
12.9999
14.1022
19.6245
24.7658
25.9843
22.9635
19.6288
17.3363
13.311
14.6359
15.834
16.2415
15.9808
16.9726
16.8708
16.923
18.1138
16.7716
14.0299
13.822
14.2537
14.3985
15.2454
15.6683
16.1721
14.8679
14.1948
14.7056
15.3819
15.5001
14.7886
14.563
15.5528
15.9781
15.5139
15.3603
15.0512
14.7874
14.9624
13.9188
14.5146
13.7115
12.0738
12.5688
12.2547
11.8741
13.0261
13.8681
14.2137
14.4743
13.9764
13.1558
13.0991
13.7831
13.2546
13.3426
13.5011
12.8245
13.6596
13.8754
12.9011
11.871
12.3954
12.8179
12.1219
12.6176
13.6362
13.5422
13.362
14.5735
15.8357
14.9927
14.5078
15.2648
15.7163
17.7969
19.0408
17.8571
18.815
19.0961
17.6215
17.0163
15.8286
16.7818
15.8726
16.6621
17.5709
16.9914
18.0412
16.9764
15.7649
14.3928
13.5061
12.7433
13.017
13.0171
12.2412
11.8878
11.2511
11.8583
11.1202
10.185
8.7563
9.5267
9.4106
11.878
14.4228
14.896
15.6664
18.147
19.3069
21.6807
20.7934
23.4241
24.8273
24.9276
27.4256
28.1746
24.5615
30.2532
31.2514
30.4733
33.3047
37.2103
36.7711
37.7163
28.8488
27.4682
29.8793
28.0598
29.7733
32.6926
32.4803
29.4168
28.7054
28.7614
23.8075
21.6987
21.4691
22.5709
23.4546
27.8976
29.2965
28.1191
25.812
25.931
26.9925
28.9213
27.8898
24.2473
27.1056
28.2833
29.8076
27.1826
22.8764
21.938
23.3076
24.9572
26.4694
23.9297
24.7033
24.646
24.0496
24.2096
24.0717
26.6673
27.6457
30.8791
29.3278
30.7268
34.1204
35.0205
39.3565
34.4724
29.9762
33.6008
35.2464
40.4137
41.3922
39.4243
45.7259
48.2549
52.0461
52.1871
49.3474
47.8653
48.5179
52.4815
51.8171
52.5811
57.5617
55.7091
55.4378
58.7493
57.794
50.282
47.6976
46.7381
47.4282
42.2269
44.9066
47.2648
50.2325
50.2504
52.5685
55.2325
52.3674
55.1692
57.7252
62.8232
62.7599
62.4387
64.0862
66.1209
69.8474
80.1039
85.9319
85.2843
77.0383
69.9981
55.2039
43.1188
32.077
34.2974
34.5613
36.5235
39.0474
42.8033
49.5164
46.459
51.1313
46.9331
49.7654
52.0729
51.6425
53.9784
54.4891
59.0665
63.9929
61.6167
62.1816
58.9178
59.9151

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108494&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108494&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108494&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0033 (300)0.192908
0.0067 (150)1.611244
0.01 (100)5.661072
0.0133 (75)7.006501
0.0167 (60)6.425234
0.02 (50)2.05777
0.0233 (42.8571)10.426109
0.0267 (37.5)1.944362
0.03 (33.3333)19.590314
0.0333 (30)21.663917
0.0367 (27.2727)9.902035
0.04 (25)15.443122
0.0433 (23.0769)28.179509
0.0467 (21.4286)11.817233
0.05 (20)9.515722
0.0533 (18.75)4.1355
0.0567 (17.6471)15.669659
0.06 (16.6667)6.837174
0.0633 (15.7895)3.981282
0.0667 (15)12.805959
0.07 (14.2857)12.738909
0.0733 (13.6364)7.575729
0.0767 (13.0435)8.338243
0.08 (12.5)24.765877
0.0833 (12)51.86252
0.0867 (11.5385)24.650819
0.09 (11.1111)14.559338
0.0933 (10.7143)23.696094
0.0967 (10.3448)3.655215
0.1 (10)2.433482
0.1033 (9.6774)20.787271
0.1067 (9.375)40.038311
0.11 (9.0909)6.038198
0.1133 (8.8235)3.080104
0.1167 (8.5714)33.900475
0.12 (8.3333)7.630598
0.1233 (8.1081)1.762612
0.1267 (7.8947)8.859014
0.13 (7.6923)10.05969
0.1333 (7.5)1.14717
0.1367 (7.3171)10.350397
0.14 (7.1429)8.478175
0.1433 (6.9767)0.161232
0.1467 (6.8182)1.229069
0.15 (6.6667)11.146029
0.1533 (6.5217)3.346444
0.1567 (6.383)3.518323
0.16 (6.25)7.238389
0.1633 (6.1224)0.347191
0.1667 (6)7.382714
0.17 (5.8824)12.095903
0.1733 (5.7692)11.549359
0.1767 (5.6604)2.682218
0.18 (5.5556)2.954314
0.1833 (5.4545)1.846361
0.1867 (5.3571)4.162588
0.19 (5.2632)10.958541
0.1933 (5.1724)15.68947
0.1967 (5.0847)11.208399
0.2 (5)1.862559
0.2033 (4.918)2.226718
0.2067 (4.8387)7.670419
0.21 (4.7619)7.084352
0.2133 (4.6875)2.733536
0.2167 (4.6154)0.55845
0.22 (4.5455)3.071006
0.2233 (4.4776)0.796222
0.2267 (4.4118)1.948162
0.23 (4.3478)5.236276
0.2333 (4.2857)0.532498
0.2367 (4.2254)4.295774
0.24 (4.1667)3.265704
0.2433 (4.1096)2.214194
0.2467 (4.0541)2.318667
0.25 (4)1.402049
0.2533 (3.9474)0.484238
0.2567 (3.8961)4.142037
0.26 (3.8462)10.118459
0.2633 (3.7975)2.256389
0.2667 (3.75)5.126138
0.27 (3.7037)14.273228
0.2733 (3.6585)20.057928
0.2767 (3.6145)4.817299
0.28 (3.5714)1.711729
0.2833 (3.5294)8.773461
0.2867 (3.4884)8.02222
0.29 (3.4483)1.9643
0.2933 (3.4091)0.734172
0.2967 (3.3708)1.375128
0.3 (3.3333)0.83761
0.3033 (3.2967)2.716766
0.3067 (3.2609)7.309676
0.31 (3.2258)2.115391
0.3133 (3.1915)0.61378
0.3167 (3.1579)0.695909
0.32 (3.125)7.563532
0.3233 (3.0928)5.413029
0.3267 (3.0612)4.161316
0.33 (3.0303)1.853186
0.3333 (3)0.55657
0.3367 (2.9703)1.302816
0.34 (2.9412)3.276342
0.3433 (2.9126)9.069225
0.3467 (2.8846)0.329998
0.35 (2.8571)0.217834
0.3533 (2.8302)2.661996
0.3567 (2.8037)6.879374
0.36 (2.7778)6.934532
0.3633 (2.7523)7.403033
0.3667 (2.7273)5.812634
0.37 (2.7027)0.062048
0.3733 (2.6786)0.938956
0.3767 (2.6549)2.352968
0.38 (2.6316)6.296969
0.3833 (2.6087)1.066032
0.3867 (2.5862)0.55048
0.39 (2.5641)0.63235
0.3933 (2.5424)7.736982
0.3967 (2.521)6.408885
0.4 (2.5)9.403076
0.4033 (2.4793)10.425133
0.4067 (2.459)2.483173
0.41 (2.439)2.572733
0.4133 (2.4194)0.448476
0.4167 (2.4)1.716717
0.42 (2.381)0.589444
0.4233 (2.3622)1.077122
0.4267 (2.3438)4.135431
0.43 (2.3256)3.735325
0.4333 (2.3077)2.15124
0.4367 (2.2901)3.524806
0.44 (2.2727)2.19323
0.4433 (2.2556)3.273373
0.4467 (2.2388)0.478256
0.45 (2.2222)2.946288
0.4533 (2.2059)1.588223
0.4567 (2.1898)3.384993
0.46 (2.1739)2.764744
0.4633 (2.1583)0.965626
0.4667 (2.1429)0.489886
0.47 (2.1277)2.437828
0.4733 (2.1127)2.283666
0.4767 (2.0979)5.739052
0.48 (2.0833)5.171009
0.4833 (2.069)0.925796
0.4867 (2.0548)1.134562
0.49 (2.0408)5.992289
0.4933 (2.027)2.552483
0.4967 (2.0134)0.868924
0.5 (2)2.22232

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0033 (300) & 0.192908 \tabularnewline
0.0067 (150) & 1.611244 \tabularnewline
0.01 (100) & 5.661072 \tabularnewline
0.0133 (75) & 7.006501 \tabularnewline
0.0167 (60) & 6.425234 \tabularnewline
0.02 (50) & 2.05777 \tabularnewline
0.0233 (42.8571) & 10.426109 \tabularnewline
0.0267 (37.5) & 1.944362 \tabularnewline
0.03 (33.3333) & 19.590314 \tabularnewline
0.0333 (30) & 21.663917 \tabularnewline
0.0367 (27.2727) & 9.902035 \tabularnewline
0.04 (25) & 15.443122 \tabularnewline
0.0433 (23.0769) & 28.179509 \tabularnewline
0.0467 (21.4286) & 11.817233 \tabularnewline
0.05 (20) & 9.515722 \tabularnewline
0.0533 (18.75) & 4.1355 \tabularnewline
0.0567 (17.6471) & 15.669659 \tabularnewline
0.06 (16.6667) & 6.837174 \tabularnewline
0.0633 (15.7895) & 3.981282 \tabularnewline
0.0667 (15) & 12.805959 \tabularnewline
0.07 (14.2857) & 12.738909 \tabularnewline
0.0733 (13.6364) & 7.575729 \tabularnewline
0.0767 (13.0435) & 8.338243 \tabularnewline
0.08 (12.5) & 24.765877 \tabularnewline
0.0833 (12) & 51.86252 \tabularnewline
0.0867 (11.5385) & 24.650819 \tabularnewline
0.09 (11.1111) & 14.559338 \tabularnewline
0.0933 (10.7143) & 23.696094 \tabularnewline
0.0967 (10.3448) & 3.655215 \tabularnewline
0.1 (10) & 2.433482 \tabularnewline
0.1033 (9.6774) & 20.787271 \tabularnewline
0.1067 (9.375) & 40.038311 \tabularnewline
0.11 (9.0909) & 6.038198 \tabularnewline
0.1133 (8.8235) & 3.080104 \tabularnewline
0.1167 (8.5714) & 33.900475 \tabularnewline
0.12 (8.3333) & 7.630598 \tabularnewline
0.1233 (8.1081) & 1.762612 \tabularnewline
0.1267 (7.8947) & 8.859014 \tabularnewline
0.13 (7.6923) & 10.05969 \tabularnewline
0.1333 (7.5) & 1.14717 \tabularnewline
0.1367 (7.3171) & 10.350397 \tabularnewline
0.14 (7.1429) & 8.478175 \tabularnewline
0.1433 (6.9767) & 0.161232 \tabularnewline
0.1467 (6.8182) & 1.229069 \tabularnewline
0.15 (6.6667) & 11.146029 \tabularnewline
0.1533 (6.5217) & 3.346444 \tabularnewline
0.1567 (6.383) & 3.518323 \tabularnewline
0.16 (6.25) & 7.238389 \tabularnewline
0.1633 (6.1224) & 0.347191 \tabularnewline
0.1667 (6) & 7.382714 \tabularnewline
0.17 (5.8824) & 12.095903 \tabularnewline
0.1733 (5.7692) & 11.549359 \tabularnewline
0.1767 (5.6604) & 2.682218 \tabularnewline
0.18 (5.5556) & 2.954314 \tabularnewline
0.1833 (5.4545) & 1.846361 \tabularnewline
0.1867 (5.3571) & 4.162588 \tabularnewline
0.19 (5.2632) & 10.958541 \tabularnewline
0.1933 (5.1724) & 15.68947 \tabularnewline
0.1967 (5.0847) & 11.208399 \tabularnewline
0.2 (5) & 1.862559 \tabularnewline
0.2033 (4.918) & 2.226718 \tabularnewline
0.2067 (4.8387) & 7.670419 \tabularnewline
0.21 (4.7619) & 7.084352 \tabularnewline
0.2133 (4.6875) & 2.733536 \tabularnewline
0.2167 (4.6154) & 0.55845 \tabularnewline
0.22 (4.5455) & 3.071006 \tabularnewline
0.2233 (4.4776) & 0.796222 \tabularnewline
0.2267 (4.4118) & 1.948162 \tabularnewline
0.23 (4.3478) & 5.236276 \tabularnewline
0.2333 (4.2857) & 0.532498 \tabularnewline
0.2367 (4.2254) & 4.295774 \tabularnewline
0.24 (4.1667) & 3.265704 \tabularnewline
0.2433 (4.1096) & 2.214194 \tabularnewline
0.2467 (4.0541) & 2.318667 \tabularnewline
0.25 (4) & 1.402049 \tabularnewline
0.2533 (3.9474) & 0.484238 \tabularnewline
0.2567 (3.8961) & 4.142037 \tabularnewline
0.26 (3.8462) & 10.118459 \tabularnewline
0.2633 (3.7975) & 2.256389 \tabularnewline
0.2667 (3.75) & 5.126138 \tabularnewline
0.27 (3.7037) & 14.273228 \tabularnewline
0.2733 (3.6585) & 20.057928 \tabularnewline
0.2767 (3.6145) & 4.817299 \tabularnewline
0.28 (3.5714) & 1.711729 \tabularnewline
0.2833 (3.5294) & 8.773461 \tabularnewline
0.2867 (3.4884) & 8.02222 \tabularnewline
0.29 (3.4483) & 1.9643 \tabularnewline
0.2933 (3.4091) & 0.734172 \tabularnewline
0.2967 (3.3708) & 1.375128 \tabularnewline
0.3 (3.3333) & 0.83761 \tabularnewline
0.3033 (3.2967) & 2.716766 \tabularnewline
0.3067 (3.2609) & 7.309676 \tabularnewline
0.31 (3.2258) & 2.115391 \tabularnewline
0.3133 (3.1915) & 0.61378 \tabularnewline
0.3167 (3.1579) & 0.695909 \tabularnewline
0.32 (3.125) & 7.563532 \tabularnewline
0.3233 (3.0928) & 5.413029 \tabularnewline
0.3267 (3.0612) & 4.161316 \tabularnewline
0.33 (3.0303) & 1.853186 \tabularnewline
0.3333 (3) & 0.55657 \tabularnewline
0.3367 (2.9703) & 1.302816 \tabularnewline
0.34 (2.9412) & 3.276342 \tabularnewline
0.3433 (2.9126) & 9.069225 \tabularnewline
0.3467 (2.8846) & 0.329998 \tabularnewline
0.35 (2.8571) & 0.217834 \tabularnewline
0.3533 (2.8302) & 2.661996 \tabularnewline
0.3567 (2.8037) & 6.879374 \tabularnewline
0.36 (2.7778) & 6.934532 \tabularnewline
0.3633 (2.7523) & 7.403033 \tabularnewline
0.3667 (2.7273) & 5.812634 \tabularnewline
0.37 (2.7027) & 0.062048 \tabularnewline
0.3733 (2.6786) & 0.938956 \tabularnewline
0.3767 (2.6549) & 2.352968 \tabularnewline
0.38 (2.6316) & 6.296969 \tabularnewline
0.3833 (2.6087) & 1.066032 \tabularnewline
0.3867 (2.5862) & 0.55048 \tabularnewline
0.39 (2.5641) & 0.63235 \tabularnewline
0.3933 (2.5424) & 7.736982 \tabularnewline
0.3967 (2.521) & 6.408885 \tabularnewline
0.4 (2.5) & 9.403076 \tabularnewline
0.4033 (2.4793) & 10.425133 \tabularnewline
0.4067 (2.459) & 2.483173 \tabularnewline
0.41 (2.439) & 2.572733 \tabularnewline
0.4133 (2.4194) & 0.448476 \tabularnewline
0.4167 (2.4) & 1.716717 \tabularnewline
0.42 (2.381) & 0.589444 \tabularnewline
0.4233 (2.3622) & 1.077122 \tabularnewline
0.4267 (2.3438) & 4.135431 \tabularnewline
0.43 (2.3256) & 3.735325 \tabularnewline
0.4333 (2.3077) & 2.15124 \tabularnewline
0.4367 (2.2901) & 3.524806 \tabularnewline
0.44 (2.2727) & 2.19323 \tabularnewline
0.4433 (2.2556) & 3.273373 \tabularnewline
0.4467 (2.2388) & 0.478256 \tabularnewline
0.45 (2.2222) & 2.946288 \tabularnewline
0.4533 (2.2059) & 1.588223 \tabularnewline
0.4567 (2.1898) & 3.384993 \tabularnewline
0.46 (2.1739) & 2.764744 \tabularnewline
0.4633 (2.1583) & 0.965626 \tabularnewline
0.4667 (2.1429) & 0.489886 \tabularnewline
0.47 (2.1277) & 2.437828 \tabularnewline
0.4733 (2.1127) & 2.283666 \tabularnewline
0.4767 (2.0979) & 5.739052 \tabularnewline
0.48 (2.0833) & 5.171009 \tabularnewline
0.4833 (2.069) & 0.925796 \tabularnewline
0.4867 (2.0548) & 1.134562 \tabularnewline
0.49 (2.0408) & 5.992289 \tabularnewline
0.4933 (2.027) & 2.552483 \tabularnewline
0.4967 (2.0134) & 0.868924 \tabularnewline
0.5 (2) & 2.22232 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108494&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0033 (300)[/C][C]0.192908[/C][/ROW]
[ROW][C]0.0067 (150)[/C][C]1.611244[/C][/ROW]
[ROW][C]0.01 (100)[/C][C]5.661072[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]7.006501[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]6.425234[/C][/ROW]
[ROW][C]0.02 (50)[/C][C]2.05777[/C][/ROW]
[ROW][C]0.0233 (42.8571)[/C][C]10.426109[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]1.944362[/C][/ROW]
[ROW][C]0.03 (33.3333)[/C][C]19.590314[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]21.663917[/C][/ROW]
[ROW][C]0.0367 (27.2727)[/C][C]9.902035[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]15.443122[/C][/ROW]
[ROW][C]0.0433 (23.0769)[/C][C]28.179509[/C][/ROW]
[ROW][C]0.0467 (21.4286)[/C][C]11.817233[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]9.515722[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]4.1355[/C][/ROW]
[ROW][C]0.0567 (17.6471)[/C][C]15.669659[/C][/ROW]
[ROW][C]0.06 (16.6667)[/C][C]6.837174[/C][/ROW]
[ROW][C]0.0633 (15.7895)[/C][C]3.981282[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]12.805959[/C][/ROW]
[ROW][C]0.07 (14.2857)[/C][C]12.738909[/C][/ROW]
[ROW][C]0.0733 (13.6364)[/C][C]7.575729[/C][/ROW]
[ROW][C]0.0767 (13.0435)[/C][C]8.338243[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]24.765877[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]51.86252[/C][/ROW]
[ROW][C]0.0867 (11.5385)[/C][C]24.650819[/C][/ROW]
[ROW][C]0.09 (11.1111)[/C][C]14.559338[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]23.696094[/C][/ROW]
[ROW][C]0.0967 (10.3448)[/C][C]3.655215[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]2.433482[/C][/ROW]
[ROW][C]0.1033 (9.6774)[/C][C]20.787271[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]40.038311[/C][/ROW]
[ROW][C]0.11 (9.0909)[/C][C]6.038198[/C][/ROW]
[ROW][C]0.1133 (8.8235)[/C][C]3.080104[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]33.900475[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]7.630598[/C][/ROW]
[ROW][C]0.1233 (8.1081)[/C][C]1.762612[/C][/ROW]
[ROW][C]0.1267 (7.8947)[/C][C]8.859014[/C][/ROW]
[ROW][C]0.13 (7.6923)[/C][C]10.05969[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1.14717[/C][/ROW]
[ROW][C]0.1367 (7.3171)[/C][C]10.350397[/C][/ROW]
[ROW][C]0.14 (7.1429)[/C][C]8.478175[/C][/ROW]
[ROW][C]0.1433 (6.9767)[/C][C]0.161232[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]1.229069[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]11.146029[/C][/ROW]
[ROW][C]0.1533 (6.5217)[/C][C]3.346444[/C][/ROW]
[ROW][C]0.1567 (6.383)[/C][C]3.518323[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]7.238389[/C][/ROW]
[ROW][C]0.1633 (6.1224)[/C][C]0.347191[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]7.382714[/C][/ROW]
[ROW][C]0.17 (5.8824)[/C][C]12.095903[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]11.549359[/C][/ROW]
[ROW][C]0.1767 (5.6604)[/C][C]2.682218[/C][/ROW]
[ROW][C]0.18 (5.5556)[/C][C]2.954314[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]1.846361[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]4.162588[/C][/ROW]
[ROW][C]0.19 (5.2632)[/C][C]10.958541[/C][/ROW]
[ROW][C]0.1933 (5.1724)[/C][C]15.68947[/C][/ROW]
[ROW][C]0.1967 (5.0847)[/C][C]11.208399[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]1.862559[/C][/ROW]
[ROW][C]0.2033 (4.918)[/C][C]2.226718[/C][/ROW]
[ROW][C]0.2067 (4.8387)[/C][C]7.670419[/C][/ROW]
[ROW][C]0.21 (4.7619)[/C][C]7.084352[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]2.733536[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]0.55845[/C][/ROW]
[ROW][C]0.22 (4.5455)[/C][C]3.071006[/C][/ROW]
[ROW][C]0.2233 (4.4776)[/C][C]0.796222[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]1.948162[/C][/ROW]
[ROW][C]0.23 (4.3478)[/C][C]5.236276[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]0.532498[/C][/ROW]
[ROW][C]0.2367 (4.2254)[/C][C]4.295774[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]3.265704[/C][/ROW]
[ROW][C]0.2433 (4.1096)[/C][C]2.214194[/C][/ROW]
[ROW][C]0.2467 (4.0541)[/C][C]2.318667[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1.402049[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]0.484238[/C][/ROW]
[ROW][C]0.2567 (3.8961)[/C][C]4.142037[/C][/ROW]
[ROW][C]0.26 (3.8462)[/C][C]10.118459[/C][/ROW]
[ROW][C]0.2633 (3.7975)[/C][C]2.256389[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]5.126138[/C][/ROW]
[ROW][C]0.27 (3.7037)[/C][C]14.273228[/C][/ROW]
[ROW][C]0.2733 (3.6585)[/C][C]20.057928[/C][/ROW]
[ROW][C]0.2767 (3.6145)[/C][C]4.817299[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]1.711729[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]8.773461[/C][/ROW]
[ROW][C]0.2867 (3.4884)[/C][C]8.02222[/C][/ROW]
[ROW][C]0.29 (3.4483)[/C][C]1.9643[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]0.734172[/C][/ROW]
[ROW][C]0.2967 (3.3708)[/C][C]1.375128[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]0.83761[/C][/ROW]
[ROW][C]0.3033 (3.2967)[/C][C]2.716766[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]7.309676[/C][/ROW]
[ROW][C]0.31 (3.2258)[/C][C]2.115391[/C][/ROW]
[ROW][C]0.3133 (3.1915)[/C][C]0.61378[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]0.695909[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]7.563532[/C][/ROW]
[ROW][C]0.3233 (3.0928)[/C][C]5.413029[/C][/ROW]
[ROW][C]0.3267 (3.0612)[/C][C]4.161316[/C][/ROW]
[ROW][C]0.33 (3.0303)[/C][C]1.853186[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.55657[/C][/ROW]
[ROW][C]0.3367 (2.9703)[/C][C]1.302816[/C][/ROW]
[ROW][C]0.34 (2.9412)[/C][C]3.276342[/C][/ROW]
[ROW][C]0.3433 (2.9126)[/C][C]9.069225[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]0.329998[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]0.217834[/C][/ROW]
[ROW][C]0.3533 (2.8302)[/C][C]2.661996[/C][/ROW]
[ROW][C]0.3567 (2.8037)[/C][C]6.879374[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]6.934532[/C][/ROW]
[ROW][C]0.3633 (2.7523)[/C][C]7.403033[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]5.812634[/C][/ROW]
[ROW][C]0.37 (2.7027)[/C][C]0.062048[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]0.938956[/C][/ROW]
[ROW][C]0.3767 (2.6549)[/C][C]2.352968[/C][/ROW]
[ROW][C]0.38 (2.6316)[/C][C]6.296969[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]1.066032[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]0.55048[/C][/ROW]
[ROW][C]0.39 (2.5641)[/C][C]0.63235[/C][/ROW]
[ROW][C]0.3933 (2.5424)[/C][C]7.736982[/C][/ROW]
[ROW][C]0.3967 (2.521)[/C][C]6.408885[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]9.403076[/C][/ROW]
[ROW][C]0.4033 (2.4793)[/C][C]10.425133[/C][/ROW]
[ROW][C]0.4067 (2.459)[/C][C]2.483173[/C][/ROW]
[ROW][C]0.41 (2.439)[/C][C]2.572733[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]0.448476[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1.716717[/C][/ROW]
[ROW][C]0.42 (2.381)[/C][C]0.589444[/C][/ROW]
[ROW][C]0.4233 (2.3622)[/C][C]1.077122[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]4.135431[/C][/ROW]
[ROW][C]0.43 (2.3256)[/C][C]3.735325[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]2.15124[/C][/ROW]
[ROW][C]0.4367 (2.2901)[/C][C]3.524806[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]2.19323[/C][/ROW]
[ROW][C]0.4433 (2.2556)[/C][C]3.273373[/C][/ROW]
[ROW][C]0.4467 (2.2388)[/C][C]0.478256[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]2.946288[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]1.588223[/C][/ROW]
[ROW][C]0.4567 (2.1898)[/C][C]3.384993[/C][/ROW]
[ROW][C]0.46 (2.1739)[/C][C]2.764744[/C][/ROW]
[ROW][C]0.4633 (2.1583)[/C][C]0.965626[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]0.489886[/C][/ROW]
[ROW][C]0.47 (2.1277)[/C][C]2.437828[/C][/ROW]
[ROW][C]0.4733 (2.1127)[/C][C]2.283666[/C][/ROW]
[ROW][C]0.4767 (2.0979)[/C][C]5.739052[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]5.171009[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]0.925796[/C][/ROW]
[ROW][C]0.4867 (2.0548)[/C][C]1.134562[/C][/ROW]
[ROW][C]0.49 (2.0408)[/C][C]5.992289[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]2.552483[/C][/ROW]
[ROW][C]0.4967 (2.0134)[/C][C]0.868924[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2.22232[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108494&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108494&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0033 (300)0.192908
0.0067 (150)1.611244
0.01 (100)5.661072
0.0133 (75)7.006501
0.0167 (60)6.425234
0.02 (50)2.05777
0.0233 (42.8571)10.426109
0.0267 (37.5)1.944362
0.03 (33.3333)19.590314
0.0333 (30)21.663917
0.0367 (27.2727)9.902035
0.04 (25)15.443122
0.0433 (23.0769)28.179509
0.0467 (21.4286)11.817233
0.05 (20)9.515722
0.0533 (18.75)4.1355
0.0567 (17.6471)15.669659
0.06 (16.6667)6.837174
0.0633 (15.7895)3.981282
0.0667 (15)12.805959
0.07 (14.2857)12.738909
0.0733 (13.6364)7.575729
0.0767 (13.0435)8.338243
0.08 (12.5)24.765877
0.0833 (12)51.86252
0.0867 (11.5385)24.650819
0.09 (11.1111)14.559338
0.0933 (10.7143)23.696094
0.0967 (10.3448)3.655215
0.1 (10)2.433482
0.1033 (9.6774)20.787271
0.1067 (9.375)40.038311
0.11 (9.0909)6.038198
0.1133 (8.8235)3.080104
0.1167 (8.5714)33.900475
0.12 (8.3333)7.630598
0.1233 (8.1081)1.762612
0.1267 (7.8947)8.859014
0.13 (7.6923)10.05969
0.1333 (7.5)1.14717
0.1367 (7.3171)10.350397
0.14 (7.1429)8.478175
0.1433 (6.9767)0.161232
0.1467 (6.8182)1.229069
0.15 (6.6667)11.146029
0.1533 (6.5217)3.346444
0.1567 (6.383)3.518323
0.16 (6.25)7.238389
0.1633 (6.1224)0.347191
0.1667 (6)7.382714
0.17 (5.8824)12.095903
0.1733 (5.7692)11.549359
0.1767 (5.6604)2.682218
0.18 (5.5556)2.954314
0.1833 (5.4545)1.846361
0.1867 (5.3571)4.162588
0.19 (5.2632)10.958541
0.1933 (5.1724)15.68947
0.1967 (5.0847)11.208399
0.2 (5)1.862559
0.2033 (4.918)2.226718
0.2067 (4.8387)7.670419
0.21 (4.7619)7.084352
0.2133 (4.6875)2.733536
0.2167 (4.6154)0.55845
0.22 (4.5455)3.071006
0.2233 (4.4776)0.796222
0.2267 (4.4118)1.948162
0.23 (4.3478)5.236276
0.2333 (4.2857)0.532498
0.2367 (4.2254)4.295774
0.24 (4.1667)3.265704
0.2433 (4.1096)2.214194
0.2467 (4.0541)2.318667
0.25 (4)1.402049
0.2533 (3.9474)0.484238
0.2567 (3.8961)4.142037
0.26 (3.8462)10.118459
0.2633 (3.7975)2.256389
0.2667 (3.75)5.126138
0.27 (3.7037)14.273228
0.2733 (3.6585)20.057928
0.2767 (3.6145)4.817299
0.28 (3.5714)1.711729
0.2833 (3.5294)8.773461
0.2867 (3.4884)8.02222
0.29 (3.4483)1.9643
0.2933 (3.4091)0.734172
0.2967 (3.3708)1.375128
0.3 (3.3333)0.83761
0.3033 (3.2967)2.716766
0.3067 (3.2609)7.309676
0.31 (3.2258)2.115391
0.3133 (3.1915)0.61378
0.3167 (3.1579)0.695909
0.32 (3.125)7.563532
0.3233 (3.0928)5.413029
0.3267 (3.0612)4.161316
0.33 (3.0303)1.853186
0.3333 (3)0.55657
0.3367 (2.9703)1.302816
0.34 (2.9412)3.276342
0.3433 (2.9126)9.069225
0.3467 (2.8846)0.329998
0.35 (2.8571)0.217834
0.3533 (2.8302)2.661996
0.3567 (2.8037)6.879374
0.36 (2.7778)6.934532
0.3633 (2.7523)7.403033
0.3667 (2.7273)5.812634
0.37 (2.7027)0.062048
0.3733 (2.6786)0.938956
0.3767 (2.6549)2.352968
0.38 (2.6316)6.296969
0.3833 (2.6087)1.066032
0.3867 (2.5862)0.55048
0.39 (2.5641)0.63235
0.3933 (2.5424)7.736982
0.3967 (2.521)6.408885
0.4 (2.5)9.403076
0.4033 (2.4793)10.425133
0.4067 (2.459)2.483173
0.41 (2.439)2.572733
0.4133 (2.4194)0.448476
0.4167 (2.4)1.716717
0.42 (2.381)0.589444
0.4233 (2.3622)1.077122
0.4267 (2.3438)4.135431
0.43 (2.3256)3.735325
0.4333 (2.3077)2.15124
0.4367 (2.2901)3.524806
0.44 (2.2727)2.19323
0.4433 (2.2556)3.273373
0.4467 (2.2388)0.478256
0.45 (2.2222)2.946288
0.4533 (2.2059)1.588223
0.4567 (2.1898)3.384993
0.46 (2.1739)2.764744
0.4633 (2.1583)0.965626
0.4667 (2.1429)0.489886
0.47 (2.1277)2.437828
0.4733 (2.1127)2.283666
0.4767 (2.0979)5.739052
0.48 (2.0833)5.171009
0.4833 (2.069)0.925796
0.4867 (2.0548)1.134562
0.49 (2.0408)5.992289
0.4933 (2.027)2.552483
0.4967 (2.0134)0.868924
0.5 (2)2.22232


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')