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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 computationFri, 04 Dec 2009 05:21:48 -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/04/t1259929352d896qz6nmwf4klj.htm/, Retrieved Sat, 10 May 2025 00:42:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63386, Retrieved Sat, 10 May 2025 00:42:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact221

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 11:11:54] [5d885a68c2332cc44f6191ec94766bfa]
-    D            [Spectral Analysis] [Spectrum] [2009-12-04 12:21:48] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
564
581
597
587
536
524
537
536
533
528
516
502
506
518
534
528
478
469
490
493
508
517
514
510
527
542
565
555
499
511
526
532
549
561
557
566
588
620
626
620
573
573
574
580
590
593
597
595
612
628
629
621
569
567
573
584
589
591
595
594

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=63386&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=63386&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63386&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)9628.143414
0.0333 (30)3497.556212
0.05 (20)980.182309
0.0667 (15)1341.133259
0.0833 (12)4531.639906
0.1 (10)334.807026
0.1167 (8.5714)276.709811
0.1333 (7.5)30.416623
0.15 (6.6667)23.50355
0.1667 (6)4340.541584
0.1833 (5.4545)176.088296
0.2 (5)14.894258
0.2167 (4.6154)26.645423
0.2333 (4.2857)12.924035
0.25 (4)627.354894
0.2667 (3.75)113.231146
0.2833 (3.5294)1.957706
0.3 (3.3333)9.894998
0.3167 (3.1579)6.836393
0.3333 (3)382.19057
0.35 (2.8571)47.75749
0.3667 (2.7273)13.743038
0.3833 (2.6087)2.530586
0.4 (2.5)10.256699
0.4167 (2.4)168.146742
0.4333 (2.3077)8.509058
0.45 (2.2222)13.864983
0.4667 (2.1429)4.705947
0.4833 (2.069)24.932943
0.5 (2)62.232143

\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) & 9628.143414 \tabularnewline
0.0333 (30) & 3497.556212 \tabularnewline
0.05 (20) & 980.182309 \tabularnewline
0.0667 (15) & 1341.133259 \tabularnewline
0.0833 (12) & 4531.639906 \tabularnewline
0.1 (10) & 334.807026 \tabularnewline
0.1167 (8.5714) & 276.709811 \tabularnewline
0.1333 (7.5) & 30.416623 \tabularnewline
0.15 (6.6667) & 23.50355 \tabularnewline
0.1667 (6) & 4340.541584 \tabularnewline
0.1833 (5.4545) & 176.088296 \tabularnewline
0.2 (5) & 14.894258 \tabularnewline
0.2167 (4.6154) & 26.645423 \tabularnewline
0.2333 (4.2857) & 12.924035 \tabularnewline
0.25 (4) & 627.354894 \tabularnewline
0.2667 (3.75) & 113.231146 \tabularnewline
0.2833 (3.5294) & 1.957706 \tabularnewline
0.3 (3.3333) & 9.894998 \tabularnewline
0.3167 (3.1579) & 6.836393 \tabularnewline
0.3333 (3) & 382.19057 \tabularnewline
0.35 (2.8571) & 47.75749 \tabularnewline
0.3667 (2.7273) & 13.743038 \tabularnewline
0.3833 (2.6087) & 2.530586 \tabularnewline
0.4 (2.5) & 10.256699 \tabularnewline
0.4167 (2.4) & 168.146742 \tabularnewline
0.4333 (2.3077) & 8.509058 \tabularnewline
0.45 (2.2222) & 13.864983 \tabularnewline
0.4667 (2.1429) & 4.705947 \tabularnewline
0.4833 (2.069) & 24.932943 \tabularnewline
0.5 (2) & 62.232143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63386&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]9628.143414[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]3497.556212[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]980.182309[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1341.133259[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]4531.639906[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]334.807026[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]276.709811[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]30.416623[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]23.50355[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]4340.541584[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]176.088296[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]14.894258[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]26.645423[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]12.924035[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]627.354894[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]113.231146[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]1.957706[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]9.894998[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]6.836393[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]382.19057[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]47.75749[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]13.743038[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]2.530586[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]10.256699[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]168.146742[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]8.509058[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]13.864983[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]4.705947[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]24.932943[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]62.232143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63386&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63386&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)9628.143414
0.0333 (30)3497.556212
0.05 (20)980.182309
0.0667 (15)1341.133259
0.0833 (12)4531.639906
0.1 (10)334.807026
0.1167 (8.5714)276.709811
0.1333 (7.5)30.416623
0.15 (6.6667)23.50355
0.1667 (6)4340.541584
0.1833 (5.4545)176.088296
0.2 (5)14.894258
0.2167 (4.6154)26.645423
0.2333 (4.2857)12.924035
0.25 (4)627.354894
0.2667 (3.75)113.231146
0.2833 (3.5294)1.957706
0.3 (3.3333)9.894998
0.3167 (3.1579)6.836393
0.3333 (3)382.19057
0.35 (2.8571)47.75749
0.3667 (2.7273)13.743038
0.3833 (2.6087)2.530586
0.4 (2.5)10.256699
0.4167 (2.4)168.146742
0.4333 (2.3077)8.509058
0.45 (2.2222)13.864983
0.4667 (2.1429)4.705947
0.4833 (2.069)24.932943
0.5 (2)62.232143


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')