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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 29 Dec 2010 15:59:10 +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/29/t12936382686nlhz6kpo468p5o.htm/, Retrieved Fri, 03 May 2024 13:11:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116929, Retrieved Fri, 03 May 2024 13:11:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2010-12-29 15:59:10] [95fdfecfb4f2f50e2168e1a971ea5f83] [Current]
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Dataseries X:
60178
53200
59909
55970
47682
50173
43090
36031
42143
48478
36046
31060
54874
60051
71622
66526
50140
55973
40393
38483
42879
47875
40578
31027
62027
56493
65566
62653
53470
59600
42542
42018
44038
44988
43309
26843
69770
64886
79354
63025
54003
55926
45629
40361
43039
44570
43269
25563
68707
60223
74283
61232
61531
65305
51699
44599
35221
55066
45335
28702
69517
69240
71525
77740
62107
65450
51493
43067
49172
54483
38158
27898
58648
56000
62381
59849
48345
55376
45400
38389
44098
48290
41267
31238




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 9 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116929&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]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116929&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116929&T=0

As an alternative you can also use a 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 time9 seconds
R Server'George Udny Yule' @ 72.249.76.132







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)12
Frequency (Period)Spectrum
0.0111 (90)218518060.817409
0.0222 (45)18228711.538727
0.0333 (30)44945727.148717
0.0444 (22.5)107907348.300073
0.0556 (18)26011631.537375
0.0667 (15)36312287.544857
0.0778 (12.8571)2181287613.82893
0.0889 (11.25)1645204395.33357
0.1 (10)76670371.079026
0.1111 (9)2247114.33739
0.1222 (8.1818)16882210.063722
0.1333 (7.5)75604405.55846
0.1444 (6.9231)16121703.558654
0.1556 (6.4286)20291237.875452
0.1667 (6)464933222.521232
0.1778 (5.625)45715437.773357
0.1889 (5.2941)34532594.702524
0.2 (5)66941662.04835
0.2111 (4.7368)854950.353707
0.2222 (4.5)8059066.721518
0.2333 (4.2857)9908038.801386
0.2444 (4.0909)372084580.21416
0.2556 (3.913)372038689.370391
0.2667 (3.75)29895581.806981
0.2778 (3.6)4825928.301391
0.2889 (3.4615)3931951.314121
0.3 (3.3333)1683057.540931
0.3111 (3.2143)13890506.337417
0.3222 (3.1034)30758498.092101
0.3333 (3)314685514.590456
0.3444 (2.9032)32199472.25948
0.3556 (2.8125)49394052.382712
0.3667 (2.7273)30310564.556354
0.3778 (2.6471)230286.637889
0.3889 (2.5714)10849394.759715
0.4 (2.5)4119782.416723
0.4111 (2.4324)401905238.526534
0.4222 (2.3684)379154503.995118
0.4333 (2.3077)9270294.352238
0.4444 (2.25)2148644.482971
0.4556 (2.1951)6727521.167977
0.4667 (2.1429)12322518.309661
0.4778 (2.093)20828702.32306
0.4889 (2.0455)67193588.544074
0.5 (2)107939661.815616

\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) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0111 (90) & 218518060.817409 \tabularnewline
0.0222 (45) & 18228711.538727 \tabularnewline
0.0333 (30) & 44945727.148717 \tabularnewline
0.0444 (22.5) & 107907348.300073 \tabularnewline
0.0556 (18) & 26011631.537375 \tabularnewline
0.0667 (15) & 36312287.544857 \tabularnewline
0.0778 (12.8571) & 2181287613.82893 \tabularnewline
0.0889 (11.25) & 1645204395.33357 \tabularnewline
0.1 (10) & 76670371.079026 \tabularnewline
0.1111 (9) & 2247114.33739 \tabularnewline
0.1222 (8.1818) & 16882210.063722 \tabularnewline
0.1333 (7.5) & 75604405.55846 \tabularnewline
0.1444 (6.9231) & 16121703.558654 \tabularnewline
0.1556 (6.4286) & 20291237.875452 \tabularnewline
0.1667 (6) & 464933222.521232 \tabularnewline
0.1778 (5.625) & 45715437.773357 \tabularnewline
0.1889 (5.2941) & 34532594.702524 \tabularnewline
0.2 (5) & 66941662.04835 \tabularnewline
0.2111 (4.7368) & 854950.353707 \tabularnewline
0.2222 (4.5) & 8059066.721518 \tabularnewline
0.2333 (4.2857) & 9908038.801386 \tabularnewline
0.2444 (4.0909) & 372084580.21416 \tabularnewline
0.2556 (3.913) & 372038689.370391 \tabularnewline
0.2667 (3.75) & 29895581.806981 \tabularnewline
0.2778 (3.6) & 4825928.301391 \tabularnewline
0.2889 (3.4615) & 3931951.314121 \tabularnewline
0.3 (3.3333) & 1683057.540931 \tabularnewline
0.3111 (3.2143) & 13890506.337417 \tabularnewline
0.3222 (3.1034) & 30758498.092101 \tabularnewline
0.3333 (3) & 314685514.590456 \tabularnewline
0.3444 (2.9032) & 32199472.25948 \tabularnewline
0.3556 (2.8125) & 49394052.382712 \tabularnewline
0.3667 (2.7273) & 30310564.556354 \tabularnewline
0.3778 (2.6471) & 230286.637889 \tabularnewline
0.3889 (2.5714) & 10849394.759715 \tabularnewline
0.4 (2.5) & 4119782.416723 \tabularnewline
0.4111 (2.4324) & 401905238.526534 \tabularnewline
0.4222 (2.3684) & 379154503.995118 \tabularnewline
0.4333 (2.3077) & 9270294.352238 \tabularnewline
0.4444 (2.25) & 2148644.482971 \tabularnewline
0.4556 (2.1951) & 6727521.167977 \tabularnewline
0.4667 (2.1429) & 12322518.309661 \tabularnewline
0.4778 (2.093) & 20828702.32306 \tabularnewline
0.4889 (2.0455) & 67193588.544074 \tabularnewline
0.5 (2) & 107939661.815616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116929&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]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]218518060.817409[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]18228711.538727[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]44945727.148717[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]107907348.300073[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]26011631.537375[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]36312287.544857[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]2181287613.82893[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]1645204395.33357[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]76670371.079026[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]2247114.33739[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]16882210.063722[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]75604405.55846[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]16121703.558654[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]20291237.875452[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]464933222.521232[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]45715437.773357[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]34532594.702524[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]66941662.04835[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]854950.353707[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]8059066.721518[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]9908038.801386[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]372084580.21416[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]372038689.370391[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]29895581.806981[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]4825928.301391[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]3931951.314121[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1683057.540931[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]13890506.337417[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]30758498.092101[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]314685514.590456[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]32199472.25948[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]49394052.382712[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]30310564.556354[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]230286.637889[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]10849394.759715[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]4119782.416723[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]401905238.526534[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]379154503.995118[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]9270294.352238[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]2148644.482971[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]6727521.167977[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]12322518.309661[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]20828702.32306[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]67193588.544074[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]107939661.815616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116929&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116929&T=1

As an alternative you can also use a 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)12
Frequency (Period)Spectrum
0.0111 (90)218518060.817409
0.0222 (45)18228711.538727
0.0333 (30)44945727.148717
0.0444 (22.5)107907348.300073
0.0556 (18)26011631.537375
0.0667 (15)36312287.544857
0.0778 (12.8571)2181287613.82893
0.0889 (11.25)1645204395.33357
0.1 (10)76670371.079026
0.1111 (9)2247114.33739
0.1222 (8.1818)16882210.063722
0.1333 (7.5)75604405.55846
0.1444 (6.9231)16121703.558654
0.1556 (6.4286)20291237.875452
0.1667 (6)464933222.521232
0.1778 (5.625)45715437.773357
0.1889 (5.2941)34532594.702524
0.2 (5)66941662.04835
0.2111 (4.7368)854950.353707
0.2222 (4.5)8059066.721518
0.2333 (4.2857)9908038.801386
0.2444 (4.0909)372084580.21416
0.2556 (3.913)372038689.370391
0.2667 (3.75)29895581.806981
0.2778 (3.6)4825928.301391
0.2889 (3.4615)3931951.314121
0.3 (3.3333)1683057.540931
0.3111 (3.2143)13890506.337417
0.3222 (3.1034)30758498.092101
0.3333 (3)314685514.590456
0.3444 (2.9032)32199472.25948
0.3556 (2.8125)49394052.382712
0.3667 (2.7273)30310564.556354
0.3778 (2.6471)230286.637889
0.3889 (2.5714)10849394.759715
0.4 (2.5)4119782.416723
0.4111 (2.4324)401905238.526534
0.4222 (2.3684)379154503.995118
0.4333 (2.3077)9270294.352238
0.4444 (2.25)2148644.482971
0.4556 (2.1951)6727521.167977
0.4667 (2.1429)12322518.309661
0.4778 (2.093)20828702.32306
0.4889 (2.0455)67193588.544074
0.5 (2)107939661.815616



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