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Description of Statistical Computation

Author's title

Spectral Analysis voor het aantal mannelijke werklozen in het Vlaamse Gewes...

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationFri, 12 Dec 2008 03:06:12 -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/12/t1229076415umz1q12x8a2rttj.htm/, Retrieved Fri, 17 May 2024 15:59:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32510, Retrieved Fri, 17 May 2024 15:59:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact227

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [(Partial) Autocor...] [2008-12-11 14:56:15] [87cabf13a90315c7085b765dcebb7412]
-   P   [(Partial) Autocorrelation Function] [(Partial) Autocor...] [2008-12-11 15:06:01] [87cabf13a90315c7085b765dcebb7412]
-   PD    [(Partial) Autocorrelation Function] [(Partial) Autocor...] [2008-12-11 15:23:01] [87cabf13a90315c7085b765dcebb7412]
-   P       [(Partial) Autocorrelation Function] [(Partial) Autocor...] [2008-12-12 09:41:51] [87cabf13a90315c7085b765dcebb7412]
- RMPD        [Spectral Analysis] [Spectral Analysis...] [2008-12-12 09:54:07] [87cabf13a90315c7085b765dcebb7412]
-   P             [Spectral Analysis] [Spectral Analysis...] [2008-12-12 10:06:12] [6fc58909ffe15c247a4f6748c8841ab4] [Current]
-   P               [Spectral Analysis] [Spectral Analysis...] [2008-12-12 10:11:50] [87cabf13a90315c7085b765dcebb7412]
-   PD                [Spectral Analysis] [Spectral Analysis...] [2008-12-12 10:22:03] [87cabf13a90315c7085b765dcebb7412]
-   P                   [Spectral Analysis] [Spectral Analysis...] [2008-12-12 10:29:35] [87cabf13a90315c7085b765dcebb7412]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
93803
90684
87251
83606
79695
75858
89756
98707
89871
84625
81979
84525
85826
82652
81514
77360
74095
71637
84186
92713
81321
76536
73038
74940
74654
71999
68611
67430
65460
63421
76226
84540
74255
70680
67409
67938
70051
68043
67383
67028
65478
65133
78443
85418
84786
83684
80369
82361
83071
81881
80767
78375
76381
76068
94619
99126
93632
91541
90445
91621
93856
91738
89952
89365
87146
88689
108165
113374
106099
103235
98857
101107
102700
101477
99639
96622
94697
95093
112885
121162
113624
111632
106707
108827
108413
106249
104861
102382
100320
100228
117089
121523
114948
112831
107605
108928
101993
102850
99925
101536
99450
98305
110159
109483
106810
96279
91982
90276
90999
86622
83117
80367
77550
77443
92844
92175
84822
81632
78872
81485

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32510&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32510&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32510&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






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
0.0083 (120)30735448.591367
0.0167 (60)3197801.348264
0.025 (40)10325751.420184
0.0333 (30)2336520.202426
0.0417 (24)2589537.732212
0.05 (20)3843767.242323
0.0583 (17.1429)1550221.909953
0.0667 (15)2793671.823137
0.075 (13.3333)3878598.33817
0.0833 (12)269672248.022934
0.0917 (10.9091)19572188.840323
0.1 (10)4055283.671323
0.1083 (9.2308)4705517.435973
0.1167 (8.5714)2038631.223601
0.125 (8)3181405.23039
0.1333 (7.5)946770.967755
0.1417 (7.0588)3265489.641182
0.15 (6.6667)15298573.404081
0.1583 (6.3158)10344839.380356
0.1667 (6)718011892.484406
0.175 (5.7143)13210602.045328
0.1833 (5.4545)5670169.472397
0.1917 (5.2174)5800898.990952
0.2 (5)7130072.840084
0.2083 (4.8)4335344.456864
0.2167 (4.6154)4474853.499837
0.225 (4.4444)6709648.530467
0.2333 (4.2857)12807289.679033
0.2417 (4.1379)405280.915744
0.25 (4)375007939.885153
0.2583 (3.871)14099685.824388
0.2667 (3.75)6071307.934544
0.275 (3.6364)2326092.140032
0.2833 (3.5294)2147795.434113
0.2917 (3.4286)1542284.078257
0.3 (3.3333)4080497.793916
0.3083 (3.2432)779509.880235
0.3167 (3.1579)6090045.253099
0.325 (3.0769)1539062.408913
0.3333 (3)195206524.23768
0.3417 (2.9268)22153621.312623
0.35 (2.8571)4023703.278811
0.3583 (2.7907)1584373.550617
0.3667 (2.7273)1455874.278096
0.375 (2.6667)3447780.464251
0.3833 (2.6087)385676.985479
0.3917 (2.5532)70878.061276
0.4 (2.5)6651751.251425
0.4083 (2.449)2085600.95367
0.4167 (2.4)108451335.799517
0.425 (2.3529)26992391.468709
0.4333 (2.3077)26603794.053837
0.4417 (2.2642)10918790.649312
0.45 (2.2222)1647157.186245
0.4583 (2.1818)9023120.819456
0.4667 (2.1429)4740575.595789
0.475 (2.1053)1134209.895662
0.4833 (2.069)14451746.146352
0.4917 (2.0339)380170.373569
0.5 (2)3183922.015705

\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
0.0083 (120) & 30735448.591367 \tabularnewline
0.0167 (60) & 3197801.348264 \tabularnewline
0.025 (40) & 10325751.420184 \tabularnewline
0.0333 (30) & 2336520.202426 \tabularnewline
0.0417 (24) & 2589537.732212 \tabularnewline
0.05 (20) & 3843767.242323 \tabularnewline
0.0583 (17.1429) & 1550221.909953 \tabularnewline
0.0667 (15) & 2793671.823137 \tabularnewline
0.075 (13.3333) & 3878598.33817 \tabularnewline
0.0833 (12) & 269672248.022934 \tabularnewline
0.0917 (10.9091) & 19572188.840323 \tabularnewline
0.1 (10) & 4055283.671323 \tabularnewline
0.1083 (9.2308) & 4705517.435973 \tabularnewline
0.1167 (8.5714) & 2038631.223601 \tabularnewline
0.125 (8) & 3181405.23039 \tabularnewline
0.1333 (7.5) & 946770.967755 \tabularnewline
0.1417 (7.0588) & 3265489.641182 \tabularnewline
0.15 (6.6667) & 15298573.404081 \tabularnewline
0.1583 (6.3158) & 10344839.380356 \tabularnewline
0.1667 (6) & 718011892.484406 \tabularnewline
0.175 (5.7143) & 13210602.045328 \tabularnewline
0.1833 (5.4545) & 5670169.472397 \tabularnewline
0.1917 (5.2174) & 5800898.990952 \tabularnewline
0.2 (5) & 7130072.840084 \tabularnewline
0.2083 (4.8) & 4335344.456864 \tabularnewline
0.2167 (4.6154) & 4474853.499837 \tabularnewline
0.225 (4.4444) & 6709648.530467 \tabularnewline
0.2333 (4.2857) & 12807289.679033 \tabularnewline
0.2417 (4.1379) & 405280.915744 \tabularnewline
0.25 (4) & 375007939.885153 \tabularnewline
0.2583 (3.871) & 14099685.824388 \tabularnewline
0.2667 (3.75) & 6071307.934544 \tabularnewline
0.275 (3.6364) & 2326092.140032 \tabularnewline
0.2833 (3.5294) & 2147795.434113 \tabularnewline
0.2917 (3.4286) & 1542284.078257 \tabularnewline
0.3 (3.3333) & 4080497.793916 \tabularnewline
0.3083 (3.2432) & 779509.880235 \tabularnewline
0.3167 (3.1579) & 6090045.253099 \tabularnewline
0.325 (3.0769) & 1539062.408913 \tabularnewline
0.3333 (3) & 195206524.23768 \tabularnewline
0.3417 (2.9268) & 22153621.312623 \tabularnewline
0.35 (2.8571) & 4023703.278811 \tabularnewline
0.3583 (2.7907) & 1584373.550617 \tabularnewline
0.3667 (2.7273) & 1455874.278096 \tabularnewline
0.375 (2.6667) & 3447780.464251 \tabularnewline
0.3833 (2.6087) & 385676.985479 \tabularnewline
0.3917 (2.5532) & 70878.061276 \tabularnewline
0.4 (2.5) & 6651751.251425 \tabularnewline
0.4083 (2.449) & 2085600.95367 \tabularnewline
0.4167 (2.4) & 108451335.799517 \tabularnewline
0.425 (2.3529) & 26992391.468709 \tabularnewline
0.4333 (2.3077) & 26603794.053837 \tabularnewline
0.4417 (2.2642) & 10918790.649312 \tabularnewline
0.45 (2.2222) & 1647157.186245 \tabularnewline
0.4583 (2.1818) & 9023120.819456 \tabularnewline
0.4667 (2.1429) & 4740575.595789 \tabularnewline
0.475 (2.1053) & 1134209.895662 \tabularnewline
0.4833 (2.069) & 14451746.146352 \tabularnewline
0.4917 (2.0339) & 380170.373569 \tabularnewline
0.5 (2) & 3183922.015705 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32510&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]0.0083 (120)[/C][C]30735448.591367[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]3197801.348264[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]10325751.420184[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]2336520.202426[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]2589537.732212[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]3843767.242323[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]1550221.909953[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]2793671.823137[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]3878598.33817[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]269672248.022934[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]19572188.840323[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]4055283.671323[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]4705517.435973[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]2038631.223601[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]3181405.23039[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]946770.967755[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]3265489.641182[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]15298573.404081[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]10344839.380356[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]718011892.484406[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]13210602.045328[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]5670169.472397[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]5800898.990952[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]7130072.840084[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]4335344.456864[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]4474853.499837[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]6709648.530467[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]12807289.679033[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]405280.915744[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]375007939.885153[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]14099685.824388[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]6071307.934544[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]2326092.140032[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]2147795.434113[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1542284.078257[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]4080497.793916[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]779509.880235[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]6090045.253099[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]1539062.408913[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]195206524.23768[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]22153621.312623[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]4023703.278811[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]1584373.550617[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1455874.278096[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]3447780.464251[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]385676.985479[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]70878.061276[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]6651751.251425[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]2085600.95367[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]108451335.799517[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]26992391.468709[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]26603794.053837[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]10918790.649312[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]1647157.186245[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]9023120.819456[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]4740575.595789[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]1134209.895662[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]14451746.146352[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]380170.373569[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]3183922.015705[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32510&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32510&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
0.0083 (120)30735448.591367
0.0167 (60)3197801.348264
0.025 (40)10325751.420184
0.0333 (30)2336520.202426
0.0417 (24)2589537.732212
0.05 (20)3843767.242323
0.0583 (17.1429)1550221.909953
0.0667 (15)2793671.823137
0.075 (13.3333)3878598.33817
0.0833 (12)269672248.022934
0.0917 (10.9091)19572188.840323
0.1 (10)4055283.671323
0.1083 (9.2308)4705517.435973
0.1167 (8.5714)2038631.223601
0.125 (8)3181405.23039
0.1333 (7.5)946770.967755
0.1417 (7.0588)3265489.641182
0.15 (6.6667)15298573.404081
0.1583 (6.3158)10344839.380356
0.1667 (6)718011892.484406
0.175 (5.7143)13210602.045328
0.1833 (5.4545)5670169.472397
0.1917 (5.2174)5800898.990952
0.2 (5)7130072.840084
0.2083 (4.8)4335344.456864
0.2167 (4.6154)4474853.499837
0.225 (4.4444)6709648.530467
0.2333 (4.2857)12807289.679033
0.2417 (4.1379)405280.915744
0.25 (4)375007939.885153
0.2583 (3.871)14099685.824388
0.2667 (3.75)6071307.934544
0.275 (3.6364)2326092.140032
0.2833 (3.5294)2147795.434113
0.2917 (3.4286)1542284.078257
0.3 (3.3333)4080497.793916
0.3083 (3.2432)779509.880235
0.3167 (3.1579)6090045.253099
0.325 (3.0769)1539062.408913
0.3333 (3)195206524.23768
0.3417 (2.9268)22153621.312623
0.35 (2.8571)4023703.278811
0.3583 (2.7907)1584373.550617
0.3667 (2.7273)1455874.278096
0.375 (2.6667)3447780.464251
0.3833 (2.6087)385676.985479
0.3917 (2.5532)70878.061276
0.4 (2.5)6651751.251425
0.4083 (2.449)2085600.95367
0.4167 (2.4)108451335.799517
0.425 (2.3529)26992391.468709
0.4333 (2.3077)26603794.053837
0.4417 (2.2642)10918790.649312
0.45 (2.2222)1647157.186245
0.4583 (2.1818)9023120.819456
0.4667 (2.1429)4740575.595789
0.475 (2.1053)1134209.895662
0.4833 (2.069)14451746.146352
0.4917 (2.0339)380170.373569
0.5 (2)3183922.015705


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')