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*The author of this computation has been verified*
R Software Module: /rwasp_spectrum.wasp (opens new window with default values)
Title produced by software: Spectral Analysis
Date of computation: Tue, 30 Nov 2010 09:54:56 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev.htm/, Retrieved Tue, 30 Nov 2010 10:53:02 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
31.514 27.071 29.462 26.105 22.397 23.843 21.705 18.089 20.764 25.316 17.704 15.548 28.029 29.383 36.438 32.034 22.679 24.319 18.004 17.537 20.366 22.782 19.169 13.807 29.743 25.591 29.096 26.482 22.405 27.044 17.970 18.730 19.684 19.785 18.479 10.698 31.956 29.506 34.506 27.165 26.736 23.691 18.157 17.328 18.205 20.995 17.382 9.367 31.124 26.551 30.651 25.859 25.100 25.778 20.418 18.688 20.424 24.776 19.814 12.738 31.566 30.111 30.019 31.934 25.826 26.835 20.205 17.789 20.520 22.518 15.572 11.509 25.447 24.090 27.786 26.195 20.516 22.759 19.028 16.971 20.036 22.485 18.730 14.538
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0111 (90)23.420499
0.0222 (45)7.307996
0.0333 (30)3.213715
0.0444 (22.5)35.557751
0.0556 (18)0.369316
0.0667 (15)5.3482
0.0778 (12.8571)402.73126
0.0889 (11.25)293.826698
0.1 (10)12.668414
0.1111 (9)5.808518
0.1222 (8.1818)11.263455
0.1333 (7.5)19.17717
0.1444 (6.9231)5.616961
0.1556 (6.4286)5.259411
0.1667 (6)140.670942
0.1778 (5.625)8.140418
0.1889 (5.2941)7.791269
0.2 (5)10.177523
0.2111 (4.7368)0.405652
0.2222 (4.5)1.521524
0.2333 (4.2857)4.635533
0.2444 (4.0909)82.576247
0.2556 (3.913)108.749942
0.2667 (3.75)0.430152
0.2778 (3.6)0.807014
0.2889 (3.4615)0.806792
0.3 (3.3333)0.464096
0.3111 (3.2143)3.416947
0.3222 (3.1034)5.892616
0.3333 (3)70.742361
0.3444 (2.9032)6.061488
0.3556 (2.8125)10.452136
0.3667 (2.7273)3.683711
0.3778 (2.6471)1.535089
0.3889 (2.5714)3.055163
0.4 (2.5)0.154692
0.4111 (2.4324)94.66889
0.4222 (2.3684)74.546522
0.4333 (2.3077)2.635748
0.4444 (2.25)2.320516
0.4556 (2.1951)0.082885
0.4667 (2.1429)1.633808
0.4778 (2.093)2.009668
0.4889 (2.0455)14.854309
0.5 (2)32.664378
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev/1abgt1291110894.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev/1abgt1291110894.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev/2k2xe1291110894.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/30/t1291110780tspgm8j06zadkev/2k2xe1291110894.ps (open in new window)


 
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')
 





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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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