Look for slope dummies or differential slope dummies in the index to
your econometric texts. There is some material in Gujarati and Porter
(2009) which iss the first text that I checked.
The basic theory is that your X'X matrix must be non singular. Thus
you can add one of LogAvgTemp x Spring or LogAvgTemp. to your X
matrix. Both are equivalent but one may be more convenient than the
other. (Running both may save you some calculations and/or make some
test statistics easier to calculate).
I hope that this is of some help.
John
On 13 May 2011 13:04, Johannes Lips <johannes.lips(a)googlemail.com> wrote:
Hello,
sorry for posting such a probably off-topic question to this list but I
don't know of any other place I could ask.
I am fitting an arima model with exogenous variables and was trying to
identify if there exist differences between the relationship depending on
the season of the year.
Therefore I added a combined Variable which combines a binary dummy for the
season (Summer, Fall, Winter) with the exogenous variable the logarithmic
average temperature on a particular day. So I have three Dummies (LogAvgTemp
x Summer, ..., LogAvgTemp x Winter).
Now I don't know if it's sufficient if I add those three combined dummies or
if I should also add the LogAvgTemp as an additional exogenous variable.
Perhaps someone could point me to a text book or something similar which
might address such a problem.
Thanks in advance and once again sorry for being slightly off-topic,
johannes
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John C Frain
Economics Department
Trinity College Dublin
Dublin 2
Ireland
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