dear Yogesh
It appears that your model based on parametric terms is too inflexible..

A better alternative to parametric harmonic terms is a spline-based approach, may be cyclic splines.. Have a look to the mgcv package..

vito



Yogesh Tiwari ha scritto:
Dear R Users,
I have a CO2 time series. I want to fit this series seasonal cycle and trend
with fourth harmonic function,
and then compute residuals.

I am doing something like:

file<-read.csv("co2data.csv")
names(file)
attach(file)
fit<-lm(co2~1+time+I(time^2)+sin(2*pi*time)+cos(2*pi*time)+sin(4*pi*time)+cos(4*pi*time)+
sin(6*pi*time)+cos(6*pi*time)+sin(8*pi*time)+cos(8*pi*time),data=file)

fit$residuals

# variable 'co2' is in ppmv and variable 'time' is in the form of decimal
time.

The problem is: when I plot above residuals vs. time, it still shows some
seasonal cycle with time.
SO, I doubt that I am doing something wrong.

Kindly help, how to fit correctly, a fourth harmonic function on CO2 which
is varying with variable 'time'.

Great thanks,

Regards,
Yogesh


--
====================================
Vito M.R. Muggeo
Dip.to Sc Statist e Matem `Vianelli'
Università di Palermo
viale delle Scienze, edificio 13
90128 Palermo - ITALY
tel: 091 6626240
fax: 091 485726/485612
http://dssm.unipa.it/vmuggeo

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