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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 computationSun, 13 Dec 2009 08:48:58 -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/2009/Dec/13/t1260719383v2z7wfhgsmgc23a.htm/, Retrieved Sat, 10 May 2025 05:58:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67342, Retrieved Sat, 10 May 2025 05:58:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact212

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] [SHW WS8] [2009-11-24 12:04:21] [253127ae8da904b75450fbd69fe4eb21]
-   PD          [Spectral Analysis] [ws8 model 3.1] [2009-11-27 16:50:27] [95cead3ebb75668735f848316249436a]
-   PD              [Spectral Analysis] [spectrum D=2 d=1] [2009-12-13 15:48:58] [95523ebdb89b97dbf680ec91e0b4bca2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
627
696
825
677
656
785
412
352
839
729
696
641
695
638
762
635
721
854
418
367
824
687
601
676
740
691
683
594
729
731
386
331
707
715
657
653
642
643
718
654
632
731
392
344
792
852
649
629
685
617
715
715
629
916
531
357
917
828
708
858
775
785
1006
789
734
906
532
387
991
841

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67342&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67342&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67342&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'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)2
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0222 (45)1303.552505
0.0444 (22.5)1687.935899
0.0667 (15)1161.349282
0.0889 (11.25)1016.055171
0.1111 (9)26853.556411
0.1333 (7.5)15372.612008
0.1556 (6.4286)2310.925755
0.1778 (5.625)5031.013452
0.2 (5)51098.053267
0.2222 (4.5)13207.317275
0.2444 (4.0909)12176.251051
0.2667 (3.75)25145.914446
0.2889 (3.4615)70249.596991
0.3111 (3.2143)1927.928893
0.3333 (3)10272.603153
0.3556 (2.8125)127128.35311
0.3778 (2.6471)29456.762957
0.4 (2.5)40228.893353
0.4222 (2.3684)2001.50935
0.4444 (2.25)11666.196034
0.4667 (2.1429)13597.27148
0.4889 (2.0455)9099.647554

\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) & 2 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0222 (45) & 1303.552505 \tabularnewline
0.0444 (22.5) & 1687.935899 \tabularnewline
0.0667 (15) & 1161.349282 \tabularnewline
0.0889 (11.25) & 1016.055171 \tabularnewline
0.1111 (9) & 26853.556411 \tabularnewline
0.1333 (7.5) & 15372.612008 \tabularnewline
0.1556 (6.4286) & 2310.925755 \tabularnewline
0.1778 (5.625) & 5031.013452 \tabularnewline
0.2 (5) & 51098.053267 \tabularnewline
0.2222 (4.5) & 13207.317275 \tabularnewline
0.2444 (4.0909) & 12176.251051 \tabularnewline
0.2667 (3.75) & 25145.914446 \tabularnewline
0.2889 (3.4615) & 70249.596991 \tabularnewline
0.3111 (3.2143) & 1927.928893 \tabularnewline
0.3333 (3) & 10272.603153 \tabularnewline
0.3556 (2.8125) & 127128.35311 \tabularnewline
0.3778 (2.6471) & 29456.762957 \tabularnewline
0.4 (2.5) & 40228.893353 \tabularnewline
0.4222 (2.3684) & 2001.50935 \tabularnewline
0.4444 (2.25) & 11666.196034 \tabularnewline
0.4667 (2.1429) & 13597.27148 \tabularnewline
0.4889 (2.0455) & 9099.647554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67342&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]2[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]1303.552505[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]1687.935899[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1161.349282[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]1016.055171[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]26853.556411[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]15372.612008[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]2310.925755[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]5031.013452[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]51098.053267[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]13207.317275[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]12176.251051[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]25145.914446[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]70249.596991[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]1927.928893[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]10272.603153[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]127128.35311[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]29456.762957[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]40228.893353[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]2001.50935[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]11666.196034[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]13597.27148[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]9099.647554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67342&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67342&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)2
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0222 (45)1303.552505
0.0444 (22.5)1687.935899
0.0667 (15)1161.349282
0.0889 (11.25)1016.055171
0.1111 (9)26853.556411
0.1333 (7.5)15372.612008
0.1556 (6.4286)2310.925755
0.1778 (5.625)5031.013452
0.2 (5)51098.053267
0.2222 (4.5)13207.317275
0.2444 (4.0909)12176.251051
0.2667 (3.75)25145.914446
0.2889 (3.4615)70249.596991
0.3111 (3.2143)1927.928893
0.3333 (3)10272.603153
0.3556 (2.8125)127128.35311
0.3778 (2.6471)29456.762957
0.4 (2.5)40228.893353
0.4222 (2.3684)2001.50935
0.4444 (2.25)11666.196034
0.4667 (2.1429)13597.27148
0.4889 (2.0455)9099.647554


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 2 ; 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')