Posted by Devin on Tuesday, January 29, 2008 at 11:16pm.
If there is, in fact, no seasonal pattern, then the parameters on the dummies ought to be zero (or very close) and insignificant. So, yes, they should not affect the estimation.
However, the dummies might be picking up something else besides seasonal variations. Unless you have boatloads of data, a few odd observations could very well trigger significant values on the dummies. So you would be attributing a seasonal pattern to some other unrelated phenomena. So, be careful.
I hope this helps
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