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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, 22 Dec 2008 09:33:47 -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/22/t1229963653a2v5i5xduoxo18n.htm/, Retrieved Mon, 13 May 2024 10:16:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36128, Retrieved Mon, 13 May 2024 10:16:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [Spectral Analysis...] [2008-12-12 14:04:54] [1ce0d16c8f4225c977b42c8fa93bc163]
-   P   [Spectral Analysis] [Spectral Analysis...] [2008-12-19 15:17:50] [1ce0d16c8f4225c977b42c8fa93bc163]
-           [Spectral Analysis] [12] [2008-12-22 16:33:47] [d96f761aa3e94002e7c05c3c847d2c79] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
492865
480961
461935
456608
441977
439148
488180
520564
501492
485025
464196
460170
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
476049
474605
470439
461251
454724
455626
516847
525192
522975
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799

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'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36128&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36128&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36128&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'George Udny Yule' @ 72.249.76.132






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
0.0133 (75)48027164.722649
0.0267 (37.5)10684310.560667
0.04 (25)6813712.308527
0.0533 (18.75)27196509.208273
0.0667 (15)53516966.080906
0.08 (12.5)2504676066.61205
0.0933 (10.7143)349351367.96993
0.1067 (9.375)188516055.700448
0.12 (8.3333)122818011.028009
0.1333 (7.5)130582553.582619
0.1467 (6.8182)427465520.144392
0.16 (6.25)2444981789.83894
0.1733 (5.7692)2986140316.63669
0.1867 (5.3571)215601801.599969
0.2 (5)86739319.727501
0.2133 (4.6875)252545738.906497
0.2267 (4.4118)50492743.78689
0.24 (4.1667)9677065.730016
0.2533 (3.9474)981819484.72145
0.2667 (3.75)10311118.976376
0.28 (3.5714)5522115.830568
0.2933 (3.4091)13882787.914393
0.3067 (3.2609)13328984.517786
0.32 (3.125)7522564.645766
0.3333 (3)1349651541.79264
0.3467 (2.8846)198482408.220878
0.36 (2.7778)22672464.337967
0.3733 (2.6786)90342368.586047
0.3867 (2.5862)2695795.084223
0.4 (2.5)21072284.013722
0.4133 (2.4194)760721744.424954
0.4267 (2.3438)319022192.263391
0.44 (2.2727)144897539.1534
0.4533 (2.2059)21177628.602557
0.4667 (2.1429)14158438.76847
0.48 (2.0833)12215896.742992
0.4933 (2.027)172433270.424978

\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
0.0133 (75) & 48027164.722649 \tabularnewline
0.0267 (37.5) & 10684310.560667 \tabularnewline
0.04 (25) & 6813712.308527 \tabularnewline
0.0533 (18.75) & 27196509.208273 \tabularnewline
0.0667 (15) & 53516966.080906 \tabularnewline
0.08 (12.5) & 2504676066.61205 \tabularnewline
0.0933 (10.7143) & 349351367.96993 \tabularnewline
0.1067 (9.375) & 188516055.700448 \tabularnewline
0.12 (8.3333) & 122818011.028009 \tabularnewline
0.1333 (7.5) & 130582553.582619 \tabularnewline
0.1467 (6.8182) & 427465520.144392 \tabularnewline
0.16 (6.25) & 2444981789.83894 \tabularnewline
0.1733 (5.7692) & 2986140316.63669 \tabularnewline
0.1867 (5.3571) & 215601801.599969 \tabularnewline
0.2 (5) & 86739319.727501 \tabularnewline
0.2133 (4.6875) & 252545738.906497 \tabularnewline
0.2267 (4.4118) & 50492743.78689 \tabularnewline
0.24 (4.1667) & 9677065.730016 \tabularnewline
0.2533 (3.9474) & 981819484.72145 \tabularnewline
0.2667 (3.75) & 10311118.976376 \tabularnewline
0.28 (3.5714) & 5522115.830568 \tabularnewline
0.2933 (3.4091) & 13882787.914393 \tabularnewline
0.3067 (3.2609) & 13328984.517786 \tabularnewline
0.32 (3.125) & 7522564.645766 \tabularnewline
0.3333 (3) & 1349651541.79264 \tabularnewline
0.3467 (2.8846) & 198482408.220878 \tabularnewline
0.36 (2.7778) & 22672464.337967 \tabularnewline
0.3733 (2.6786) & 90342368.586047 \tabularnewline
0.3867 (2.5862) & 2695795.084223 \tabularnewline
0.4 (2.5) & 21072284.013722 \tabularnewline
0.4133 (2.4194) & 760721744.424954 \tabularnewline
0.4267 (2.3438) & 319022192.263391 \tabularnewline
0.44 (2.2727) & 144897539.1534 \tabularnewline
0.4533 (2.2059) & 21177628.602557 \tabularnewline
0.4667 (2.1429) & 14158438.76847 \tabularnewline
0.48 (2.0833) & 12215896.742992 \tabularnewline
0.4933 (2.027) & 172433270.424978 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36128&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]0.0133 (75)[/C][C]48027164.722649[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]10684310.560667[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]6813712.308527[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]27196509.208273[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]53516966.080906[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]2504676066.61205[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]349351367.96993[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]188516055.700448[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]122818011.028009[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]130582553.582619[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]427465520.144392[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2444981789.83894[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]2986140316.63669[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]215601801.599969[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]86739319.727501[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]252545738.906497[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]50492743.78689[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]9677065.730016[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]981819484.72145[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]10311118.976376[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]5522115.830568[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]13882787.914393[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]13328984.517786[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]7522564.645766[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1349651541.79264[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]198482408.220878[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]22672464.337967[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]90342368.586047[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]2695795.084223[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]21072284.013722[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]760721744.424954[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]319022192.263391[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]144897539.1534[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]21177628.602557[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]14158438.76847[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]12215896.742992[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]172433270.424978[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36128&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36128&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
0.0133 (75)48027164.722649
0.0267 (37.5)10684310.560667
0.04 (25)6813712.308527
0.0533 (18.75)27196509.208273
0.0667 (15)53516966.080906
0.08 (12.5)2504676066.61205
0.0933 (10.7143)349351367.96993
0.1067 (9.375)188516055.700448
0.12 (8.3333)122818011.028009
0.1333 (7.5)130582553.582619
0.1467 (6.8182)427465520.144392
0.16 (6.25)2444981789.83894
0.1733 (5.7692)2986140316.63669
0.1867 (5.3571)215601801.599969
0.2 (5)86739319.727501
0.2133 (4.6875)252545738.906497
0.2267 (4.4118)50492743.78689
0.24 (4.1667)9677065.730016
0.2533 (3.9474)981819484.72145
0.2667 (3.75)10311118.976376
0.28 (3.5714)5522115.830568
0.2933 (3.4091)13882787.914393
0.3067 (3.2609)13328984.517786
0.32 (3.125)7522564.645766
0.3333 (3)1349651541.79264
0.3467 (2.8846)198482408.220878
0.36 (2.7778)22672464.337967
0.3733 (2.6786)90342368.586047
0.3867 (2.5862)2695795.084223
0.4 (2.5)21072284.013722
0.4133 (2.4194)760721744.424954
0.4267 (2.3438)319022192.263391
0.44 (2.2727)144897539.1534
0.4533 (2.2059)21177628.602557
0.4667 (2.1429)14158438.76847
0.48 (2.0833)12215896.742992
0.4933 (2.027)172433270.424978


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 ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')