A Bounded-size Likelihood Test for Non-nested Probabilistic Discrete Choice Models Estimated from Choice-based Samples
University of Sydney, Graduate School of Business, Institute of Transport Studies, 1993 - Choice of transportation - 40 pages
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aloe alog altemative models altemative tree structures altematives at level asymptotic Bounded-Size Likelihood Ratio Bounded-Size Likelihood Test choice based sample Choice Models Estimated choice-based sample corrected Deﬁne denote Discrete Choice Models eigenvalues endogenous Estimated from Choice-Based exogenously sampled expected values f(i I z ﬁnite generalised cost H11 is true hierarchical logit model hierarchical models Horowitz Inequalities 23 large sample level 1 altemative level not exceeding Likelihood Ratio Test LIMDEP log[g(i Logit Model Figure matrix mean and variance mode choice multinomial logit model nested non-nested discrete choice normal distribution Parameter estimates population share Pr AEN presents a bounded-size random Ratio Test tor regularity conditions rejected at signiﬁcance rejecting H11 sample i.e. sample of observations sequence Share of altemative signiﬁcance level small sample speciﬁcation test structures are non-nested sufﬁciently large Test for Non-Nested tor Non-Nested Probabilistic Transport Studies Graduate two-level hierarchical logit uncorrected test University of Sydney yields the result