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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 computationFri, 27 Nov 2009 15:46:41 -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/27/t12593620643eehmqj2r70qirk.htm/, Retrieved Mon, 29 Apr 2024 06:52:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61325, Retrieved Mon, 29 Apr 2024 06:52:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
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]
- R  D          [Spectral Analysis] [WorkShop8 (SHW)] [2009-11-27 22:46:41] [2d9a0b3c2f25bb8f387fafb994d0d852] [Current]
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Dataseries X:
282965
276610
277838
277051
277026
274960
270073
267063
264916
287182
291109
292223
288109
281400
282579
280113
280331
276759
275139
274275
271234
289725
290649
292223
278429
269749
265784
268957
264099
255121
253276
245980
235295
258479
260916
254586
250566
243345
247028
248464
244962
237003
237008
225477
226762
247857
248256
246892
245021
246186
255688
264242
268270
272969
273886
267353
271916
292633
295804
293222




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61325&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]2 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=61325&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61325&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 time2 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)2797833893.07393
0.0333 (30)1348919917.60869
0.05 (20)406013129.832083
0.0667 (15)561683319.108751
0.0833 (12)256699499.196629
0.1 (10)102038826.541645
0.1167 (8.5714)101239011.64325
0.1333 (7.5)14096948.084121
0.15 (6.6667)7140610.68399
0.1667 (6)538250941.834051
0.1833 (5.4545)40809149.636871
0.2 (5)5108280.761667
0.2167 (4.6154)6657432.843071
0.2333 (4.2857)5117190.499199
0.25 (4)79832784.184204
0.2667 (3.75)22857691.546345
0.2833 (3.5294)2012942.665858
0.3 (3.3333)3143927.544393
0.3167 (3.1579)885671.259112
0.3333 (3)81121745.973931
0.35 (2.8571)18059325.808821
0.3667 (2.7273)6727254.942114
0.3833 (2.6087)1175184.598666
0.4 (2.5)1458038.972477
0.4167 (2.4)48056404.481886
0.4333 (2.3077)5590999.983099
0.45 (2.2222)7020005.534897
0.4667 (2.1429)1656036.417501
0.4833 (2.069)5686029.858005
0.5 (2)16296143.866649

\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) & 2797833893.07393 \tabularnewline
0.0333 (30) & 1348919917.60869 \tabularnewline
0.05 (20) & 406013129.832083 \tabularnewline
0.0667 (15) & 561683319.108751 \tabularnewline
0.0833 (12) & 256699499.196629 \tabularnewline
0.1 (10) & 102038826.541645 \tabularnewline
0.1167 (8.5714) & 101239011.64325 \tabularnewline
0.1333 (7.5) & 14096948.084121 \tabularnewline
0.15 (6.6667) & 7140610.68399 \tabularnewline
0.1667 (6) & 538250941.834051 \tabularnewline
0.1833 (5.4545) & 40809149.636871 \tabularnewline
0.2 (5) & 5108280.761667 \tabularnewline
0.2167 (4.6154) & 6657432.843071 \tabularnewline
0.2333 (4.2857) & 5117190.499199 \tabularnewline
0.25 (4) & 79832784.184204 \tabularnewline
0.2667 (3.75) & 22857691.546345 \tabularnewline
0.2833 (3.5294) & 2012942.665858 \tabularnewline
0.3 (3.3333) & 3143927.544393 \tabularnewline
0.3167 (3.1579) & 885671.259112 \tabularnewline
0.3333 (3) & 81121745.973931 \tabularnewline
0.35 (2.8571) & 18059325.808821 \tabularnewline
0.3667 (2.7273) & 6727254.942114 \tabularnewline
0.3833 (2.6087) & 1175184.598666 \tabularnewline
0.4 (2.5) & 1458038.972477 \tabularnewline
0.4167 (2.4) & 48056404.481886 \tabularnewline
0.4333 (2.3077) & 5590999.983099 \tabularnewline
0.45 (2.2222) & 7020005.534897 \tabularnewline
0.4667 (2.1429) & 1656036.417501 \tabularnewline
0.4833 (2.069) & 5686029.858005 \tabularnewline
0.5 (2) & 16296143.866649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61325&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]2797833893.07393[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1348919917.60869[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]406013129.832083[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]561683319.108751[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]256699499.196629[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]102038826.541645[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]101239011.64325[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]14096948.084121[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]7140610.68399[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]538250941.834051[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]40809149.636871[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]5108280.761667[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]6657432.843071[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]5117190.499199[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]79832784.184204[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]22857691.546345[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]2012942.665858[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]3143927.544393[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]885671.259112[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]81121745.973931[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]18059325.808821[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]6727254.942114[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]1175184.598666[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]1458038.972477[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]48056404.481886[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]5590999.983099[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]7020005.534897[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]1656036.417501[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]5686029.858005[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]16296143.866649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61325&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61325&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)2797833893.07393
0.0333 (30)1348919917.60869
0.05 (20)406013129.832083
0.0667 (15)561683319.108751
0.0833 (12)256699499.196629
0.1 (10)102038826.541645
0.1167 (8.5714)101239011.64325
0.1333 (7.5)14096948.084121
0.15 (6.6667)7140610.68399
0.1667 (6)538250941.834051
0.1833 (5.4545)40809149.636871
0.2 (5)5108280.761667
0.2167 (4.6154)6657432.843071
0.2333 (4.2857)5117190.499199
0.25 (4)79832784.184204
0.2667 (3.75)22857691.546345
0.2833 (3.5294)2012942.665858
0.3 (3.3333)3143927.544393
0.3167 (3.1579)885671.259112
0.3333 (3)81121745.973931
0.35 (2.8571)18059325.808821
0.3667 (2.7273)6727254.942114
0.3833 (2.6087)1175184.598666
0.4 (2.5)1458038.972477
0.4167 (2.4)48056404.481886
0.4333 (2.3077)5590999.983099
0.45 (2.2222)7020005.534897
0.4667 (2.1429)1656036.417501
0.4833 (2.069)5686029.858005
0.5 (2)16296143.866649



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')