On Tue, 16 Oct 2012, Sven Schreiber wrote:

> (I don't know if there is some predefined test for seasonality in gretl
> -- in the case of OLS models one way might be to just add seasonal
> dummies and do an F-test for their significance.)

Fourier stuff is not even remotely as popular as seasonal dummies, but I 
personally much prefer it for monthly (or higher-frequency) data and yes, 
it's just an F-test.

Example:

<hansl>
open bjg.gdt

series years = time/12

series ann1 = sin(2*pi*years)
series ann2 = cos(2*pi*years)
series sem1 = sin(4*pi*years)
series sem2 = cos(4*pi*years)
series qua1 = sin(8*pi*years)
series qua2 = cos(8*pi*years)

list SEAS = ann1 ann2 sem1 sem2 qua1 qua2
ols lg const time --robust
add SEAS # rejection -> seasonality
</hansl>

--------------------------------------------------
  Riccardo (Jack) Lucchetti
  Dipartimento di Economia

  Università Politecnica delle Marche
  (formerly known as Università di Ancona)

  r.lucchetti(a)univpm.it
  http://www2.econ.univpm.it/servizi/hpp/lucchetti
--------------------------------------------------

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