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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 computationTue, 07 Dec 2010 09:24:10 +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/07/t129171373719jkzl6vik6gx6r.htm/, Retrieved Sat, 04 May 2024 05:18:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106058, Retrieved Sat, 04 May 2024 05:18:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-    D    [Spectral Analysis] [WS9 Spectrum] [2010-12-07 09:00:05] [07a238a5afc23eb944f8545182f29d5a]
-   PD        [Spectral Analysis] [WS9 Spectrum D=d=1] [2010-12-07 09:24:10] [67e3c2d70de1dbb070b545ca6c893d5e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
562.325
560.854
555.332
543.599
536.662
542.722
593.530
610.763
612.613
611.324
594.167
595.454
590.865
589.379
584.428
573.100
567.456
569.028
620.735
628.884
628.232
612.117
595.404
597.141
593.408
590.072
579.799
574.205
572.775
572.942
619.567
625.809
619.916
587.625
565.742
557.274
560.576
548.854
531.673
525.919
511.038
498.662
555.362
564.591
541.657
527.070
509.846
514.258
516.922
507.561
492.622
490.243
469.357
477.580
528.379
533.590
517.945
506.174
501.866
516.141
528.222
532.638
536.322
536.535
523.597
536.214
586.570
596.594
580.523
564.478
557.560
575.093

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=106058&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=106058&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106058&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)125.070156
0.0333 (30)96.214351
0.05 (20)51.456336
0.0667 (15)151.847222
0.0833 (12)91.254826
0.1 (10)15.316918
0.1167 (8.5714)34.280534
0.1333 (7.5)36.858596
0.15 (6.6667)4.550407
0.1667 (6)39.592316
0.1833 (5.4545)16.867018
0.2 (5)63.840257
0.2167 (4.6154)11.920319
0.2333 (4.2857)25.637803
0.25 (4)21.379564
0.2667 (3.75)144.314285
0.2833 (3.5294)88.56512
0.3 (3.3333)45.906732
0.3167 (3.1579)31.485143
0.3333 (3)1.728545
0.35 (2.8571)181.963241
0.3667 (2.7273)187.361634
0.3833 (2.6087)19.567991
0.4 (2.5)13.678695
0.4167 (2.4)18.361759
0.4333 (2.3077)28.545012
0.45 (2.2222)139.832625
0.4667 (2.1429)62.256823
0.4833 (2.069)108.325855
0.5 (2)0.350349

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 125.070156 \tabularnewline
0.0333 (30) & 96.214351 \tabularnewline
0.05 (20) & 51.456336 \tabularnewline
0.0667 (15) & 151.847222 \tabularnewline
0.0833 (12) & 91.254826 \tabularnewline
0.1 (10) & 15.316918 \tabularnewline
0.1167 (8.5714) & 34.280534 \tabularnewline
0.1333 (7.5) & 36.858596 \tabularnewline
0.15 (6.6667) & 4.550407 \tabularnewline
0.1667 (6) & 39.592316 \tabularnewline
0.1833 (5.4545) & 16.867018 \tabularnewline
0.2 (5) & 63.840257 \tabularnewline
0.2167 (4.6154) & 11.920319 \tabularnewline
0.2333 (4.2857) & 25.637803 \tabularnewline
0.25 (4) & 21.379564 \tabularnewline
0.2667 (3.75) & 144.314285 \tabularnewline
0.2833 (3.5294) & 88.56512 \tabularnewline
0.3 (3.3333) & 45.906732 \tabularnewline
0.3167 (3.1579) & 31.485143 \tabularnewline
0.3333 (3) & 1.728545 \tabularnewline
0.35 (2.8571) & 181.963241 \tabularnewline
0.3667 (2.7273) & 187.361634 \tabularnewline
0.3833 (2.6087) & 19.567991 \tabularnewline
0.4 (2.5) & 13.678695 \tabularnewline
0.4167 (2.4) & 18.361759 \tabularnewline
0.4333 (2.3077) & 28.545012 \tabularnewline
0.45 (2.2222) & 139.832625 \tabularnewline
0.4667 (2.1429) & 62.256823 \tabularnewline
0.4833 (2.069) & 108.325855 \tabularnewline
0.5 (2) & 0.350349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106058&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]1[/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]125.070156[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]96.214351[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]51.456336[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]151.847222[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]91.254826[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]15.316918[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]34.280534[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]36.858596[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]4.550407[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]39.592316[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]16.867018[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]63.840257[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]11.920319[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]25.637803[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]21.379564[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]144.314285[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]88.56512[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]45.906732[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]31.485143[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1.728545[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]181.963241[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]187.361634[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]19.567991[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]13.678695[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]18.361759[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]28.545012[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]139.832625[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]62.256823[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]108.325855[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.350349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106058&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106058&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)125.070156
0.0333 (30)96.214351
0.05 (20)51.456336
0.0667 (15)151.847222
0.0833 (12)91.254826
0.1 (10)15.316918
0.1167 (8.5714)34.280534
0.1333 (7.5)36.858596
0.15 (6.6667)4.550407
0.1667 (6)39.592316
0.1833 (5.4545)16.867018
0.2 (5)63.840257
0.2167 (4.6154)11.920319
0.2333 (4.2857)25.637803
0.25 (4)21.379564
0.2667 (3.75)144.314285
0.2833 (3.5294)88.56512
0.3 (3.3333)45.906732
0.3167 (3.1579)31.485143
0.3333 (3)1.728545
0.35 (2.8571)181.963241
0.3667 (2.7273)187.361634
0.3833 (2.6087)19.567991
0.4 (2.5)13.678695
0.4167 (2.4)18.361759
0.4333 (2.3077)28.545012
0.45 (2.2222)139.832625
0.4667 (2.1429)62.256823
0.4833 (2.069)108.325855
0.5 (2)0.350349


Figures (Output of Computation)

Input Parameters & R Code

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