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	Hallo all,

I am new to the list an not an econometrician (double apologies!).
I have a problem with the test for the Independence of Irrelevant
Alternatives (IIA) in a Multinomial Logit Model (MNL).
I am using the Hausmann McFadden test . The test statistic is:

(b_r - b_u)' [VC_r - VC_u]^(-1) (b_r - b_u)

where 
b_u  estimated parameters of the full choice set 
VC_r estimated variance and covariance matrix of the full choice
set 
b_r estimated parameters of the restricted choice set 
VC_r estimated variance and covariance matrix of the restricted
choice set 

Although quadratic, the statistic is sometimes negative (because 
the restricted model has less observations than the unrestricted).
Hausmann and McFadden (Econometrica, 1984, p.1226), suggest an
asymptotically equivalent estimate of VC_r for a conditional logit model
that guarantees positive semidefiniteness of [VC_r - VC_u].

Algebraically the conditional and multinomial logit models are the same,
so I guess I could use the same logic to obtain an alternative estimate
to obtain a poitive test statistic.

Do you know where I could find a specification I could use for the MNL?
Has anybody encountered the same problem before?

I will be happy to make a summary for the list of the replies I receive.

Thank you very much for your help
Alberto Bacchiega
University of York (UK)


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