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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 computationWed, 22 Dec 2010 21:57:07 +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/22/t1293054932kdewmkajxzdkf8y.htm/, Retrieved Sun, 17 Aug 2025 14:14:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114602, Retrieved Sun, 17 Aug 2025 14:14:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact283

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:38:17] [b98453cac15ba1066b407e146608df68]
-    D        [Spectral Analysis] [] [2009-11-24 10:12:32] [fef2f8976fa1eef1b54e2cee317fe737]
-    D          [Spectral Analysis] [] [2009-12-18 15:46:26] [fef2f8976fa1eef1b54e2cee317fe737]
-                   [Spectral Analysis] [] [2010-12-22 21:57:07] [f149abcac50db27facd6576b094a0cd9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114602&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]3 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=114602&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114602&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 time3 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
0.0167 (60)7944.631545
0.0333 (30)3525.096278
0.05 (20)840.480447
0.0667 (15)1482.291952
0.0833 (12)3966.680655
0.1 (10)551.482488
0.1167 (8.5714)402.554157
0.1333 (7.5)98.402906
0.15 (6.6667)77.504193
0.1667 (6)3779.306048
0.1833 (5.4545)246.395749
0.2 (5)48.907761
0.2167 (4.6154)45.209985
0.2333 (4.2857)13.686388
0.25 (4)520.954964
0.2667 (3.75)108.669064
0.2833 (3.5294)4.392207
0.3 (3.3333)8.866912
0.3167 (3.1579)9.847564
0.3333 (3)355.970868
0.35 (2.8571)55.400442
0.3667 (2.7273)15.113585
0.3833 (2.6087)3.246866
0.4 (2.5)12.222308
0.4167 (2.4)158.04386
0.4333 (2.3077)11.131718
0.45 (2.2222)17.614774
0.4667 (2.1429)2.377998
0.4833 (2.069)28.315906
0.5 (2)51.400425

\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
0.0167 (60) & 7944.631545 \tabularnewline
0.0333 (30) & 3525.096278 \tabularnewline
0.05 (20) & 840.480447 \tabularnewline
0.0667 (15) & 1482.291952 \tabularnewline
0.0833 (12) & 3966.680655 \tabularnewline
0.1 (10) & 551.482488 \tabularnewline
0.1167 (8.5714) & 402.554157 \tabularnewline
0.1333 (7.5) & 98.402906 \tabularnewline
0.15 (6.6667) & 77.504193 \tabularnewline
0.1667 (6) & 3779.306048 \tabularnewline
0.1833 (5.4545) & 246.395749 \tabularnewline
0.2 (5) & 48.907761 \tabularnewline
0.2167 (4.6154) & 45.209985 \tabularnewline
0.2333 (4.2857) & 13.686388 \tabularnewline
0.25 (4) & 520.954964 \tabularnewline
0.2667 (3.75) & 108.669064 \tabularnewline
0.2833 (3.5294) & 4.392207 \tabularnewline
0.3 (3.3333) & 8.866912 \tabularnewline
0.3167 (3.1579) & 9.847564 \tabularnewline
0.3333 (3) & 355.970868 \tabularnewline
0.35 (2.8571) & 55.400442 \tabularnewline
0.3667 (2.7273) & 15.113585 \tabularnewline
0.3833 (2.6087) & 3.246866 \tabularnewline
0.4 (2.5) & 12.222308 \tabularnewline
0.4167 (2.4) & 158.04386 \tabularnewline
0.4333 (2.3077) & 11.131718 \tabularnewline
0.45 (2.2222) & 17.614774 \tabularnewline
0.4667 (2.1429) & 2.377998 \tabularnewline
0.4833 (2.069) & 28.315906 \tabularnewline
0.5 (2) & 51.400425 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114602&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]0.0167 (60)[/C][C]7944.631545[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]3525.096278[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]840.480447[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1482.291952[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]3966.680655[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]551.482488[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]402.554157[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]98.402906[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]77.504193[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]3779.306048[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]246.395749[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]48.907761[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]45.209985[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]13.686388[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]520.954964[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]108.669064[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]4.392207[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]8.866912[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]9.847564[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]355.970868[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]55.400442[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]15.113585[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]3.246866[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]12.222308[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]158.04386[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]11.131718[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]17.614774[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]2.377998[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]28.315906[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]51.400425[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114602&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114602&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)12
Frequency (Period)Spectrum
0.0167 (60)7944.631545
0.0333 (30)3525.096278
0.05 (20)840.480447
0.0667 (15)1482.291952
0.0833 (12)3966.680655
0.1 (10)551.482488
0.1167 (8.5714)402.554157
0.1333 (7.5)98.402906
0.15 (6.6667)77.504193
0.1667 (6)3779.306048
0.1833 (5.4545)246.395749
0.2 (5)48.907761
0.2167 (4.6154)45.209985
0.2333 (4.2857)13.686388
0.25 (4)520.954964
0.2667 (3.75)108.669064
0.2833 (3.5294)4.392207
0.3 (3.3333)8.866912
0.3167 (3.1579)9.847564
0.3333 (3)355.970868
0.35 (2.8571)55.400442
0.3667 (2.7273)15.113585
0.3833 (2.6087)3.246866
0.4 (2.5)12.222308
0.4167 (2.4)158.04386
0.4333 (2.3077)11.131718
0.45 (2.2222)17.614774
0.4667 (2.1429)2.377998
0.4833 (2.069)28.315906
0.5 (2)51.400425


Figures (Output of Computation)

Input Parameters & R Code

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')