The Hausman test discussed in the text can also be conducted in the following way. Consider Eq.

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The Hausman test discussed in the text can also be conducted in the following way. Consider Eq. (19.4.7):

Qt = β0 + β1Pt + β1vt + u2t

a. Since Pt and vt have the same coefficients, how would you test that in a given application that is indeed the case? What are the implications of this?

b. Since Pt is uncorrelated with u2t by design (why?), one way to find out if Pt is exogenous is to see if vt is correlated with u2t . How would you go about testing this? Which test do you use?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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