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tijdreeks bevolkingstotaal

*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: Sun, 26 Dec 2010 10:40:42 +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/Dec/26/t12933599788kzaez4ss7z2bdn.htm/, Retrieved Sun, 26 Dec 2010 11:39:38 +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/Dec/26/t12933599788kzaez4ss7z2bdn.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 «
5140 4749 3635 4305 5805 4260 3869 7325 9280 6222 3272 7598 1345 1900 1480 1472 3823 4454 3357 5393 8329 4152 4042 7747 1451 911 -406 1387 2150 1577 2642 4273 8064 3243 1112 2280 505 744 -1369 -531 1041 2076 577 5080 6584 3761 294 5020 1141 3805 2127 2531 3682 3263 2798 5936 10568 5296 1870 4390 3707 5201 3748 5282 5349 6249 5517 8640 15767 8850 5582 6496 3255 6189 6452 5099 6833 7046 7739 10142 16054 7721 6182 6490 3704 6235 4655 5072 3640 5147 5703 11889 15603 9589
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


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
0.0104 (96)58339586.81384
0.0208 (48)36412824.748567
0.0312 (32)5185440.227832
0.0417 (24)6154056.876597
0.0521 (19.2)4425399.600337
0.0625 (16)6270587.439181
0.0729 (13.7143)1142285.052565
0.0833 (12)129060119.976319
0.0938 (10.6667)1874399.77658
0.1042 (9.6)5054353.464044
0.1146 (8.7273)1168117.475014
0.125 (8)1185880.339695
0.1354 (7.3846)807367.438481
0.1458 (6.8571)287386.665113
0.1562 (6.4)9790205.555342
0.1667 (6)22517612.723887
0.1771 (5.6471)6460518.947527
0.1875 (5.3333)1116818.528639
0.1979 (5.0526)773005.487058
0.2083 (4.8)2371330.65971
0.2188 (4.5714)204733.565796
0.2292 (4.3636)581072.336557
0.2396 (4.1739)6158378.604808
0.25 (4)35548606.727052
0.2604 (3.84)380414.506131
0.2708 (3.6923)764487.635073
0.2812 (3.5556)707053.015482
0.2917 (3.4286)179566.361946
0.3021 (3.3103)2653288.111925
0.3125 (3.2)1522082.313785
0.3229 (3.0968)155047.401042
0.3333 (3)33401426.097732
0.3438 (2.9091)263404.687992
0.3542 (2.8235)2444517.758874
0.3646 (2.7429)2491663.053003
0.375 (2.6667)18606.800989
0.3854 (2.5946)180011.802294
0.3958 (2.5263)433094.622966
0.4062 (2.4615)285467.960349
0.4167 (2.4)14813506.722715
0.4271 (2.3415)1446092.422703
0.4375 (2.2857)2859080.145559
0.4479 (2.2326)2062497.166616
0.4583 (2.1818)1423940.53046
0.4688 (2.1333)451568.463401
0.4792 (2.087)1491998.550096
0.4896 (2.0426)1084844.173932
0.5 (2)3889405.0204
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/26/t12933599788kzaez4ss7z2bdn/19vy91293360040.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/26/t12933599788kzaez4ss7z2bdn/19vy91293360040.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/26/t12933599788kzaez4ss7z2bdn/22myu1293360040.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/26/t12933599788kzaez4ss7z2bdn/22myu1293360040.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')
 





Copyright

Creative Commons License

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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