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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, 05 Dec 2011 18:08:48 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323126539e4twid7s2uz34id.htm/, Retrieved Fri, 03 May 2024 09:48:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151327, Retrieved Fri, 03 May 2024 09:48:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

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] [web traffic] [2010-10-19 15:13:07] [b98453cac15ba1066b407e146608df68]
- RMP   [Variance Reduction Matrix] [Traffic] [2010-11-29 09:57:15] [b98453cac15ba1066b407e146608df68]
- RMP     [ARIMA Backward Selection] [Traffic] [2010-11-29 20:05:46] [b98453cac15ba1066b407e146608df68]
-   PD      [ARIMA Backward Selection] [] [2011-12-05 15:44:21] [d623f9be707a26b8ffaece1fc4d5a7ee]
- RMPD          [Spectral Analysis] [] [2011-12-05 23:08:48] [4cf172296f32adf71d8383c359dbb80f] [Current]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1431
869
1536
2216
933
463
3202
372
1584
1440
1837
1549
1431
2274
1556
4120
1766
2251
1061
1955
2080
2294
1220
1290
2557
2148
2381
1639
1247
1897
1768
1592
1786
807
2600
1941
2733
1502
917
2620
2802
1413
1408
1363
2190
4398
918
1831
3558
1792
1438
496
2259
744
1161
2385
2207
2955
2064
1863
3336
2664
2130
2033
1227
1441
1499
2280
1834
1286
1944
893
1763
1403
1455
1930
1900
1546
1466
1431
1465
3176
1317
1761
870
1654
1054
3107
2105
2564
1939
1684
1499
2484
2016
1382
1445
1659
3096
2896
2071
1904
1475
602
1799
1617
2162
2279
874
1282
1446
2049
392
1605
530
1386
2395
387
1743
449
2724
1613
1271
1253
568
1512
2252
1123
2990
2023
2933
1002
956
2306
3744
1107
3351
1588
1474
1760
1374
3494
1695
2035
2468
1477
2211
1962
2
207
5
8
0
0
1678
2544
0
4
151
474
141
873
29
1370

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'AstonUniversity' @ aston.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151327&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151327&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151327&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'AstonUniversity' @ aston.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0056 (180)737208.487623
0.0111 (90)375913.143668
0.0167 (60)299623.170281
0.0222 (45)2946400.77513
0.0278 (36)2976155.629597
0.0333 (30)599695.323026
0.0389 (25.7143)668658.049171
0.0444 (22.5)27561.186415
0.05 (20)1228801.690122
0.0556 (18)19366.836341
0.0611 (16.3636)953211.277697
0.0667 (15)166699.994892
0.0722 (13.8462)1213926.897905
0.0778 (12.8571)75848.900552
0.0833 (12)1153303.058359
0.0889 (11.25)154915.066825
0.0944 (10.5882)1643810.149867
0.1 (10)958066.634977
0.1056 (9.4737)786083.40645
0.1111 (9)592406.952567
0.1167 (8.5714)132595.433007
0.1222 (8.1818)467794.969577
0.1278 (7.8261)149706.345559
0.1333 (7.5)431625.487764
0.1389 (7.2)254761.999609
0.1444 (6.9231)226321.379706
0.15 (6.6667)1949758.869031
0.1556 (6.4286)99223.165902
0.1611 (6.2069)309799.167768
0.1667 (6)1613801.648535
0.1722 (5.8065)202434.192232
0.1778 (5.625)409418.99976
0.1833 (5.4545)158620.357867
0.1889 (5.2941)986143.88373
0.1944 (5.1429)288679.907871
0.2 (5)1700860.951568
0.2056 (4.8649)309069.368315
0.2111 (4.7368)856637.305845
0.2167 (4.6154)386796.623202
0.2222 (4.5)1140552.837485
0.2278 (4.3902)657133.149816
0.2333 (4.2857)614481.13644
0.2389 (4.186)421404.966758
0.2444 (4.0909)1499353.906342
0.25 (4)201264.072066
0.2556 (3.913)531057.799299
0.2611 (3.8298)512982.952733
0.2667 (3.75)35162.877599
0.2722 (3.6735)403566.374105
0.2778 (3.6)12073.028063
0.2833 (3.5294)875284.075405
0.2889 (3.4615)90244.580592
0.2944 (3.3962)253604.365795
0.3 (3.3333)78686.9575
0.3056 (3.2727)562258.6842
0.3111 (3.2143)63532.206629
0.3167 (3.1579)43112.118833
0.3222 (3.1034)151564.493288
0.3278 (3.0508)629810.462697
0.3333 (3)733178.955126
0.3389 (2.9508)748068.924242
0.3444 (2.9032)190175.991979
0.35 (2.8571)206895.983425
0.3556 (2.8125)505243.142946
0.3611 (2.7692)271064.930475
0.3667 (2.7273)95622.105781
0.3722 (2.6866)1418912.630205
0.3778 (2.6471)254221.868403
0.3833 (2.6087)2525537.753475
0.3889 (2.5714)213907.122833
0.3944 (2.5352)2091317.663644
0.4 (2.5)89961.889716
0.4056 (2.4658)613302.466756
0.4111 (2.4324)196681.330722
0.4167 (2.4)295935.31844
0.4222 (2.3684)28798.059008
0.4278 (2.3377)2001485.232908
0.4333 (2.3077)116550.351874
0.4389 (2.2785)1196578.694179
0.4444 (2.25)186767.578777
0.45 (2.2222)282829.57653
0.4556 (2.1951)1182255.893733
0.4611 (2.1687)653580.850387
0.4667 (2.1429)974050.313923
0.4722 (2.1176)583553.409559
0.4778 (2.093)367919.82191
0.4833 (2.069)647223.407156
0.4889 (2.0455)1121723.203605
0.4944 (2.0225)194046.479421
0.5 (2)5900.380754

\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) & 0 \tabularnewline
Seasonal Period (s) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0056 (180) & 737208.487623 \tabularnewline
0.0111 (90) & 375913.143668 \tabularnewline
0.0167 (60) & 299623.170281 \tabularnewline
0.0222 (45) & 2946400.77513 \tabularnewline
0.0278 (36) & 2976155.629597 \tabularnewline
0.0333 (30) & 599695.323026 \tabularnewline
0.0389 (25.7143) & 668658.049171 \tabularnewline
0.0444 (22.5) & 27561.186415 \tabularnewline
0.05 (20) & 1228801.690122 \tabularnewline
0.0556 (18) & 19366.836341 \tabularnewline
0.0611 (16.3636) & 953211.277697 \tabularnewline
0.0667 (15) & 166699.994892 \tabularnewline
0.0722 (13.8462) & 1213926.897905 \tabularnewline
0.0778 (12.8571) & 75848.900552 \tabularnewline
0.0833 (12) & 1153303.058359 \tabularnewline
0.0889 (11.25) & 154915.066825 \tabularnewline
0.0944 (10.5882) & 1643810.149867 \tabularnewline
0.1 (10) & 958066.634977 \tabularnewline
0.1056 (9.4737) & 786083.40645 \tabularnewline
0.1111 (9) & 592406.952567 \tabularnewline
0.1167 (8.5714) & 132595.433007 \tabularnewline
0.1222 (8.1818) & 467794.969577 \tabularnewline
0.1278 (7.8261) & 149706.345559 \tabularnewline
0.1333 (7.5) & 431625.487764 \tabularnewline
0.1389 (7.2) & 254761.999609 \tabularnewline
0.1444 (6.9231) & 226321.379706 \tabularnewline
0.15 (6.6667) & 1949758.869031 \tabularnewline
0.1556 (6.4286) & 99223.165902 \tabularnewline
0.1611 (6.2069) & 309799.167768 \tabularnewline
0.1667 (6) & 1613801.648535 \tabularnewline
0.1722 (5.8065) & 202434.192232 \tabularnewline
0.1778 (5.625) & 409418.99976 \tabularnewline
0.1833 (5.4545) & 158620.357867 \tabularnewline
0.1889 (5.2941) & 986143.88373 \tabularnewline
0.1944 (5.1429) & 288679.907871 \tabularnewline
0.2 (5) & 1700860.951568 \tabularnewline
0.2056 (4.8649) & 309069.368315 \tabularnewline
0.2111 (4.7368) & 856637.305845 \tabularnewline
0.2167 (4.6154) & 386796.623202 \tabularnewline
0.2222 (4.5) & 1140552.837485 \tabularnewline
0.2278 (4.3902) & 657133.149816 \tabularnewline
0.2333 (4.2857) & 614481.13644 \tabularnewline
0.2389 (4.186) & 421404.966758 \tabularnewline
0.2444 (4.0909) & 1499353.906342 \tabularnewline
0.25 (4) & 201264.072066 \tabularnewline
0.2556 (3.913) & 531057.799299 \tabularnewline
0.2611 (3.8298) & 512982.952733 \tabularnewline
0.2667 (3.75) & 35162.877599 \tabularnewline
0.2722 (3.6735) & 403566.374105 \tabularnewline
0.2778 (3.6) & 12073.028063 \tabularnewline
0.2833 (3.5294) & 875284.075405 \tabularnewline
0.2889 (3.4615) & 90244.580592 \tabularnewline
0.2944 (3.3962) & 253604.365795 \tabularnewline
0.3 (3.3333) & 78686.9575 \tabularnewline
0.3056 (3.2727) & 562258.6842 \tabularnewline
0.3111 (3.2143) & 63532.206629 \tabularnewline
0.3167 (3.1579) & 43112.118833 \tabularnewline
0.3222 (3.1034) & 151564.493288 \tabularnewline
0.3278 (3.0508) & 629810.462697 \tabularnewline
0.3333 (3) & 733178.955126 \tabularnewline
0.3389 (2.9508) & 748068.924242 \tabularnewline
0.3444 (2.9032) & 190175.991979 \tabularnewline
0.35 (2.8571) & 206895.983425 \tabularnewline
0.3556 (2.8125) & 505243.142946 \tabularnewline
0.3611 (2.7692) & 271064.930475 \tabularnewline
0.3667 (2.7273) & 95622.105781 \tabularnewline
0.3722 (2.6866) & 1418912.630205 \tabularnewline
0.3778 (2.6471) & 254221.868403 \tabularnewline
0.3833 (2.6087) & 2525537.753475 \tabularnewline
0.3889 (2.5714) & 213907.122833 \tabularnewline
0.3944 (2.5352) & 2091317.663644 \tabularnewline
0.4 (2.5) & 89961.889716 \tabularnewline
0.4056 (2.4658) & 613302.466756 \tabularnewline
0.4111 (2.4324) & 196681.330722 \tabularnewline
0.4167 (2.4) & 295935.31844 \tabularnewline
0.4222 (2.3684) & 28798.059008 \tabularnewline
0.4278 (2.3377) & 2001485.232908 \tabularnewline
0.4333 (2.3077) & 116550.351874 \tabularnewline
0.4389 (2.2785) & 1196578.694179 \tabularnewline
0.4444 (2.25) & 186767.578777 \tabularnewline
0.45 (2.2222) & 282829.57653 \tabularnewline
0.4556 (2.1951) & 1182255.893733 \tabularnewline
0.4611 (2.1687) & 653580.850387 \tabularnewline
0.4667 (2.1429) & 974050.313923 \tabularnewline
0.4722 (2.1176) & 583553.409559 \tabularnewline
0.4778 (2.093) & 367919.82191 \tabularnewline
0.4833 (2.069) & 647223.407156 \tabularnewline
0.4889 (2.0455) & 1121723.203605 \tabularnewline
0.4944 (2.0225) & 194046.479421 \tabularnewline
0.5 (2) & 5900.380754 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151327&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0056 (180)[/C][C]737208.487623[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]375913.143668[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]299623.170281[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]2946400.77513[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2976155.629597[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]599695.323026[/C][/ROW]
[ROW][C]0.0389 (25.7143)[/C][C]668658.049171[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]27561.186415[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]1228801.690122[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]19366.836341[/C][/ROW]
[ROW][C]0.0611 (16.3636)[/C][C]953211.277697[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]166699.994892[/C][/ROW]
[ROW][C]0.0722 (13.8462)[/C][C]1213926.897905[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]75848.900552[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]1153303.058359[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]154915.066825[/C][/ROW]
[ROW][C]0.0944 (10.5882)[/C][C]1643810.149867[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]958066.634977[/C][/ROW]
[ROW][C]0.1056 (9.4737)[/C][C]786083.40645[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]592406.952567[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]132595.433007[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]467794.969577[/C][/ROW]
[ROW][C]0.1278 (7.8261)[/C][C]149706.345559[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]431625.487764[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]254761.999609[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]226321.379706[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]1949758.869031[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]99223.165902[/C][/ROW]
[ROW][C]0.1611 (6.2069)[/C][C]309799.167768[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1613801.648535[/C][/ROW]
[ROW][C]0.1722 (5.8065)[/C][C]202434.192232[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]409418.99976[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]158620.357867[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]986143.88373[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]288679.907871[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]1700860.951568[/C][/ROW]
[ROW][C]0.2056 (4.8649)[/C][C]309069.368315[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]856637.305845[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]386796.623202[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]1140552.837485[/C][/ROW]
[ROW][C]0.2278 (4.3902)[/C][C]657133.149816[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]614481.13644[/C][/ROW]
[ROW][C]0.2389 (4.186)[/C][C]421404.966758[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]1499353.906342[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]201264.072066[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]531057.799299[/C][/ROW]
[ROW][C]0.2611 (3.8298)[/C][C]512982.952733[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]35162.877599[/C][/ROW]
[ROW][C]0.2722 (3.6735)[/C][C]403566.374105[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]12073.028063[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]875284.075405[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]90244.580592[/C][/ROW]
[ROW][C]0.2944 (3.3962)[/C][C]253604.365795[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]78686.9575[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]562258.6842[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]63532.206629[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]43112.118833[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]151564.493288[/C][/ROW]
[ROW][C]0.3278 (3.0508)[/C][C]629810.462697[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]733178.955126[/C][/ROW]
[ROW][C]0.3389 (2.9508)[/C][C]748068.924242[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]190175.991979[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]206895.983425[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]505243.142946[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]271064.930475[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]95622.105781[/C][/ROW]
[ROW][C]0.3722 (2.6866)[/C][C]1418912.630205[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]254221.868403[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]2525537.753475[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]213907.122833[/C][/ROW]
[ROW][C]0.3944 (2.5352)[/C][C]2091317.663644[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]89961.889716[/C][/ROW]
[ROW][C]0.4056 (2.4658)[/C][C]613302.466756[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]196681.330722[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]295935.31844[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]28798.059008[/C][/ROW]
[ROW][C]0.4278 (2.3377)[/C][C]2001485.232908[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]116550.351874[/C][/ROW]
[ROW][C]0.4389 (2.2785)[/C][C]1196578.694179[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]186767.578777[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]282829.57653[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]1182255.893733[/C][/ROW]
[ROW][C]0.4611 (2.1687)[/C][C]653580.850387[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]974050.313923[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]583553.409559[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]367919.82191[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]647223.407156[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]1121723.203605[/C][/ROW]
[ROW][C]0.4944 (2.0225)[/C][C]194046.479421[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]5900.380754[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151327&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151327&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)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0056 (180)737208.487623
0.0111 (90)375913.143668
0.0167 (60)299623.170281
0.0222 (45)2946400.77513
0.0278 (36)2976155.629597
0.0333 (30)599695.323026
0.0389 (25.7143)668658.049171
0.0444 (22.5)27561.186415
0.05 (20)1228801.690122
0.0556 (18)19366.836341
0.0611 (16.3636)953211.277697
0.0667 (15)166699.994892
0.0722 (13.8462)1213926.897905
0.0778 (12.8571)75848.900552
0.0833 (12)1153303.058359
0.0889 (11.25)154915.066825
0.0944 (10.5882)1643810.149867
0.1 (10)958066.634977
0.1056 (9.4737)786083.40645
0.1111 (9)592406.952567
0.1167 (8.5714)132595.433007
0.1222 (8.1818)467794.969577
0.1278 (7.8261)149706.345559
0.1333 (7.5)431625.487764
0.1389 (7.2)254761.999609
0.1444 (6.9231)226321.379706
0.15 (6.6667)1949758.869031
0.1556 (6.4286)99223.165902
0.1611 (6.2069)309799.167768
0.1667 (6)1613801.648535
0.1722 (5.8065)202434.192232
0.1778 (5.625)409418.99976
0.1833 (5.4545)158620.357867
0.1889 (5.2941)986143.88373
0.1944 (5.1429)288679.907871
0.2 (5)1700860.951568
0.2056 (4.8649)309069.368315
0.2111 (4.7368)856637.305845
0.2167 (4.6154)386796.623202
0.2222 (4.5)1140552.837485
0.2278 (4.3902)657133.149816
0.2333 (4.2857)614481.13644
0.2389 (4.186)421404.966758
0.2444 (4.0909)1499353.906342
0.25 (4)201264.072066
0.2556 (3.913)531057.799299
0.2611 (3.8298)512982.952733
0.2667 (3.75)35162.877599
0.2722 (3.6735)403566.374105
0.2778 (3.6)12073.028063
0.2833 (3.5294)875284.075405
0.2889 (3.4615)90244.580592
0.2944 (3.3962)253604.365795
0.3 (3.3333)78686.9575
0.3056 (3.2727)562258.6842
0.3111 (3.2143)63532.206629
0.3167 (3.1579)43112.118833
0.3222 (3.1034)151564.493288
0.3278 (3.0508)629810.462697
0.3333 (3)733178.955126
0.3389 (2.9508)748068.924242
0.3444 (2.9032)190175.991979
0.35 (2.8571)206895.983425
0.3556 (2.8125)505243.142946
0.3611 (2.7692)271064.930475
0.3667 (2.7273)95622.105781
0.3722 (2.6866)1418912.630205
0.3778 (2.6471)254221.868403
0.3833 (2.6087)2525537.753475
0.3889 (2.5714)213907.122833
0.3944 (2.5352)2091317.663644
0.4 (2.5)89961.889716
0.4056 (2.4658)613302.466756
0.4111 (2.4324)196681.330722
0.4167 (2.4)295935.31844
0.4222 (2.3684)28798.059008
0.4278 (2.3377)2001485.232908
0.4333 (2.3077)116550.351874
0.4389 (2.2785)1196578.694179
0.4444 (2.25)186767.578777
0.45 (2.2222)282829.57653
0.4556 (2.1951)1182255.893733
0.4611 (2.1687)653580.850387
0.4667 (2.1429)974050.313923
0.4722 (2.1176)583553.409559
0.4778 (2.093)367919.82191
0.4833 (2.069)647223.407156
0.4889 (2.0455)1121723.203605
0.4944 (2.0225)194046.479421
0.5 (2)5900.380754


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 2 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
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')