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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 computationThu, 16 Dec 2010 11:12:29 +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/16/t12924978935u55kclril890m0.htm/, Retrieved Fri, 03 May 2024 15:01:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110857, Retrieved Fri, 03 May 2024 15:01:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact166

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Cross Correlation Function] [Q7 - zonder trans...] [2008-12-01 20:04:13] [299afd6311e4c20059ea2f05c8dd029d]
F RM D    [Variance Reduction Matrix] [Q8] [2008-12-01 20:20:44] [299afd6311e4c20059ea2f05c8dd029d]
F    D      [Variance Reduction Matrix] [Q8 - 2] [2008-12-01 20:25:07] [299afd6311e4c20059ea2f05c8dd029d]
F RM D        [Standard Deviation-Mean Plot] [Deel 2: Step 1] [2008-12-08 20:09:35] [299afd6311e4c20059ea2f05c8dd029d]
- RM D          [Spectral Analysis] [Deel 2: Step 2 - ...] [2008-12-08 20:27:07] [299afd6311e4c20059ea2f05c8dd029d]
-   P             [Spectral Analysis] [Totale Uitvoer - ...] [2008-12-17 16:07:59] [299afd6311e4c20059ea2f05c8dd029d]
-  MPD                [Spectral Analysis] [Spectral Analysis...] [2010-12-16 11:12:29] [733bf75cb326fe693c93e834bfd34d22] [Current]
-   P                   [Spectral Analysis] [Spectral Analysis...] [2010-12-16 11:14:45] [616fb52b46273b7e6805de1e68b3a688]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
548604
563668
586111
604378
600991
544686
537034
551531
563250
574761
580112
575093
557560
564478
580523
596594
586570
536214
523597
536535
536322
532638
528222
516141
501866
506174
517945
533590
528379
477580
469357
490243
492622
507561
516922
514258
509846
527070
541657
564591
555362
498662
511038
525919
531673
548854
560576
557274
565742
587625
619916
625809
619567
572942
572775
574205
579799
590072
593408
597141
595404
612117
628232
628884
620735
569028
567456
573100
584428
589379
590865
595454
594167

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110857&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]4 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=110857&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110857&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 time4 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)439646920.958815
0.0333 (30)219097219.472446
0.05 (20)254710903.854246
0.0667 (15)42560781.245099
0.0833 (12)17169300.229887
0.1 (10)43191104.826847
0.1167 (8.5714)110790151.702217
0.1333 (7.5)7303107.002692
0.15 (6.6667)7285941.095134
0.1667 (6)54560602.247797
0.1833 (5.4545)3941633.424346
0.2 (5)101537307.34686
0.2167 (4.6154)1411402.093959
0.2333 (4.2857)12361893.49688
0.25 (4)13760227.601495
0.2667 (3.75)115927889.240915
0.2833 (3.5294)123313621.331128
0.3 (3.3333)33832148.659572
0.3167 (3.1579)38888655.033789
0.3333 (3)3192100.672042
0.35 (2.8571)194449423.829253
0.3667 (2.7273)159196137.392048
0.3833 (2.6087)37270125.712563
0.4 (2.5)11095226.748691
0.4167 (2.4)2871009.030807
0.4333 (2.3077)26381650.793595
0.45 (2.2222)124808263.474153
0.4667 (2.1429)88362312.038833
0.4833 (2.069)65905618.673523
0.5 (2)9512908.634521

\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) & 439646920.958815 \tabularnewline
0.0333 (30) & 219097219.472446 \tabularnewline
0.05 (20) & 254710903.854246 \tabularnewline
0.0667 (15) & 42560781.245099 \tabularnewline
0.0833 (12) & 17169300.229887 \tabularnewline
0.1 (10) & 43191104.826847 \tabularnewline
0.1167 (8.5714) & 110790151.702217 \tabularnewline
0.1333 (7.5) & 7303107.002692 \tabularnewline
0.15 (6.6667) & 7285941.095134 \tabularnewline
0.1667 (6) & 54560602.247797 \tabularnewline
0.1833 (5.4545) & 3941633.424346 \tabularnewline
0.2 (5) & 101537307.34686 \tabularnewline
0.2167 (4.6154) & 1411402.093959 \tabularnewline
0.2333 (4.2857) & 12361893.49688 \tabularnewline
0.25 (4) & 13760227.601495 \tabularnewline
0.2667 (3.75) & 115927889.240915 \tabularnewline
0.2833 (3.5294) & 123313621.331128 \tabularnewline
0.3 (3.3333) & 33832148.659572 \tabularnewline
0.3167 (3.1579) & 38888655.033789 \tabularnewline
0.3333 (3) & 3192100.672042 \tabularnewline
0.35 (2.8571) & 194449423.829253 \tabularnewline
0.3667 (2.7273) & 159196137.392048 \tabularnewline
0.3833 (2.6087) & 37270125.712563 \tabularnewline
0.4 (2.5) & 11095226.748691 \tabularnewline
0.4167 (2.4) & 2871009.030807 \tabularnewline
0.4333 (2.3077) & 26381650.793595 \tabularnewline
0.45 (2.2222) & 124808263.474153 \tabularnewline
0.4667 (2.1429) & 88362312.038833 \tabularnewline
0.4833 (2.069) & 65905618.673523 \tabularnewline
0.5 (2) & 9512908.634521 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110857&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]439646920.958815[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]219097219.472446[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]254710903.854246[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]42560781.245099[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]17169300.229887[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]43191104.826847[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]110790151.702217[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]7303107.002692[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]7285941.095134[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]54560602.247797[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]3941633.424346[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]101537307.34686[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]1411402.093959[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]12361893.49688[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]13760227.601495[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]115927889.240915[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]123313621.331128[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]33832148.659572[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]38888655.033789[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3192100.672042[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]194449423.829253[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]159196137.392048[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]37270125.712563[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]11095226.748691[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2871009.030807[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]26381650.793595[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]124808263.474153[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]88362312.038833[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]65905618.673523[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]9512908.634521[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110857&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110857&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)439646920.958815
0.0333 (30)219097219.472446
0.05 (20)254710903.854246
0.0667 (15)42560781.245099
0.0833 (12)17169300.229887
0.1 (10)43191104.826847
0.1167 (8.5714)110790151.702217
0.1333 (7.5)7303107.002692
0.15 (6.6667)7285941.095134
0.1667 (6)54560602.247797
0.1833 (5.4545)3941633.424346
0.2 (5)101537307.34686
0.2167 (4.6154)1411402.093959
0.2333 (4.2857)12361893.49688
0.25 (4)13760227.601495
0.2667 (3.75)115927889.240915
0.2833 (3.5294)123313621.331128
0.3 (3.3333)33832148.659572
0.3167 (3.1579)38888655.033789
0.3333 (3)3192100.672042
0.35 (2.8571)194449423.829253
0.3667 (2.7273)159196137.392048
0.3833 (2.6087)37270125.712563
0.4 (2.5)11095226.748691
0.4167 (2.4)2871009.030807
0.4333 (2.3077)26381650.793595
0.45 (2.2222)124808263.474153
0.4667 (2.1429)88362312.038833
0.4833 (2.069)65905618.673523
0.5 (2)9512908.634521


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')