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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, 24 Nov 2009 10:10:16 -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/Nov/24/t1259082701yvcykbat10zpkgm.htm/, Retrieved Fri, 14 Jun 2024 19:49:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59171, Retrieved Fri, 14 Jun 2024 19:49:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact216
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       [Variance Reduction Matrix] [Identifying Integ...] [2009-11-22 12:29:54] [b98453cac15ba1066b407e146608df68]
- RMPD        [Spectral Analysis] [Workshop 8 - Meth...] [2009-11-24 16:40:10] [74be16979710d4c4e7c6647856088456]
-   P             [Spectral Analysis] [Workshop 8 - Meth...] [2009-11-24 17:10:16] [d904c6aa144b8c40108ebe5ec22fe1a0] [Current]
-   P               [Spectral Analysis] [Workshop 8 - Meth...] [2009-11-24 17:24:12] [1646a2766cb8c4a6f9d3b2fffef409b3]
-                     [Spectral Analysis] [Workshop 8/Method...] [2009-11-30 13:28:32] [24c4941ee50deadff4640c9c09cc70cb]
-   P                 [Spectral Analysis] [] [2009-11-30 17:25:30] [74be16979710d4c4e7c6647856088456]
-   P                   [Spectral Analysis] [] [2009-12-03 17:34:42] [74be16979710d4c4e7c6647856088456]
- RMP               [Standard Deviation-Mean Plot] [Workshop 8 - Remo...] [2009-11-24 17:37:19] [74be16979710d4c4e7c6647856088456]
-                   [Spectral Analysis] [Workshop 8/ Metho...] [2009-11-30 13:23:52] [24c4941ee50deadff4640c9c09cc70cb]
-                   [Spectral Analysis] [] [2009-11-30 17:21:18] [74be16979710d4c4e7c6647856088456]
-                     [Spectral Analysis] [] [2009-12-03 17:33:42] [74be16979710d4c4e7c6647856088456]
-   P               [Spectral Analysis] [verb ws8] [2009-12-04 16:55:37] [95cead3ebb75668735f848316249436a]
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Dataseries X:
269645
267037
258113
262813
267413
267366
264777
258863
254844
254868
277267
285351
286602
283042
276687
277915
277128
277103
275037
270150
267140
264993
287259
291186
292300
288186
281477
282656
280190
280408
276836
275216
274352
271311
289802
290726
292300
278506
269826
265861
269034
264176
255198
253353
246057
235372
258556
260993
254663
250643
243422
247105
248541
245039
237080
237085
225554
226839
247934
248333
246969
245098
246263
255765
264319
268347
273046
273963
267430
271993
292710
295881




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=59171&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=59171&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59171&T=0

As an alternative you can also use a 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)65859087.831898
0.0333 (30)22482558.568724
0.05 (20)12792643.859954
0.0667 (15)35709995.760708
0.0833 (12)18593615.632236
0.1 (10)5573721.682391
0.1167 (8.5714)12398678.696397
0.1333 (7.5)18297563.605568
0.15 (6.6667)6466537.344679
0.1667 (6)2122764.243016
0.1833 (5.4545)9933646.541184
0.2 (5)11971569.004849
0.2167 (4.6154)972270.338513
0.2333 (4.2857)10249809.768947
0.25 (4)4595008.765331
0.2667 (3.75)35215219.232153
0.2833 (3.5294)36126303.056658
0.3 (3.3333)15569880.820137
0.3167 (3.1579)6851132.552617
0.3333 (3)2866418.351041
0.35 (2.8571)51823051.699678
0.3667 (2.7273)55453132.627222
0.3833 (2.6087)10281171.589293
0.4 (2.5)2190261.776241
0.4167 (2.4)2482259.177163
0.4333 (2.3077)10019448.161689
0.45 (2.2222)41606657.308922
0.4667 (2.1429)62040260.766709
0.4833 (2.069)18302136.367746
0.5 (2)44103.718562

\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) & 65859087.831898 \tabularnewline
0.0333 (30) & 22482558.568724 \tabularnewline
0.05 (20) & 12792643.859954 \tabularnewline
0.0667 (15) & 35709995.760708 \tabularnewline
0.0833 (12) & 18593615.632236 \tabularnewline
0.1 (10) & 5573721.682391 \tabularnewline
0.1167 (8.5714) & 12398678.696397 \tabularnewline
0.1333 (7.5) & 18297563.605568 \tabularnewline
0.15 (6.6667) & 6466537.344679 \tabularnewline
0.1667 (6) & 2122764.243016 \tabularnewline
0.1833 (5.4545) & 9933646.541184 \tabularnewline
0.2 (5) & 11971569.004849 \tabularnewline
0.2167 (4.6154) & 972270.338513 \tabularnewline
0.2333 (4.2857) & 10249809.768947 \tabularnewline
0.25 (4) & 4595008.765331 \tabularnewline
0.2667 (3.75) & 35215219.232153 \tabularnewline
0.2833 (3.5294) & 36126303.056658 \tabularnewline
0.3 (3.3333) & 15569880.820137 \tabularnewline
0.3167 (3.1579) & 6851132.552617 \tabularnewline
0.3333 (3) & 2866418.351041 \tabularnewline
0.35 (2.8571) & 51823051.699678 \tabularnewline
0.3667 (2.7273) & 55453132.627222 \tabularnewline
0.3833 (2.6087) & 10281171.589293 \tabularnewline
0.4 (2.5) & 2190261.776241 \tabularnewline
0.4167 (2.4) & 2482259.177163 \tabularnewline
0.4333 (2.3077) & 10019448.161689 \tabularnewline
0.45 (2.2222) & 41606657.308922 \tabularnewline
0.4667 (2.1429) & 62040260.766709 \tabularnewline
0.4833 (2.069) & 18302136.367746 \tabularnewline
0.5 (2) & 44103.718562 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59171&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]65859087.831898[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]22482558.568724[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]12792643.859954[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]35709995.760708[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]18593615.632236[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]5573721.682391[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]12398678.696397[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]18297563.605568[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]6466537.344679[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2122764.243016[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]9933646.541184[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]11971569.004849[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]972270.338513[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]10249809.768947[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]4595008.765331[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]35215219.232153[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]36126303.056658[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]15569880.820137[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]6851132.552617[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]2866418.351041[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]51823051.699678[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]55453132.627222[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]10281171.589293[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]2190261.776241[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2482259.177163[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]10019448.161689[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]41606657.308922[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]62040260.766709[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]18302136.367746[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]44103.718562[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59171&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59171&T=1

As an alternative you can also use a 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)65859087.831898
0.0333 (30)22482558.568724
0.05 (20)12792643.859954
0.0667 (15)35709995.760708
0.0833 (12)18593615.632236
0.1 (10)5573721.682391
0.1167 (8.5714)12398678.696397
0.1333 (7.5)18297563.605568
0.15 (6.6667)6466537.344679
0.1667 (6)2122764.243016
0.1833 (5.4545)9933646.541184
0.2 (5)11971569.004849
0.2167 (4.6154)972270.338513
0.2333 (4.2857)10249809.768947
0.25 (4)4595008.765331
0.2667 (3.75)35215219.232153
0.2833 (3.5294)36126303.056658
0.3 (3.3333)15569880.820137
0.3167 (3.1579)6851132.552617
0.3333 (3)2866418.351041
0.35 (2.8571)51823051.699678
0.3667 (2.7273)55453132.627222
0.3833 (2.6087)10281171.589293
0.4 (2.5)2190261.776241
0.4167 (2.4)2482259.177163
0.4333 (2.3077)10019448.161689
0.45 (2.2222)41606657.308922
0.4667 (2.1429)62040260.766709
0.4833 (2.069)18302136.367746
0.5 (2)44103.718562



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')