Diagnostics in some Discrete Choice Models

Herbert Nagel, Reinhold Hatzinger

Publikation: Working/Discussion PaperWU Working Paper

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Abstract

Discrete choice models form a class of models widely used in econometrics for modelling the individual choice from a finite set of alternatives. The most widely used model is the multinomial logit model, implicitly assuming independence of irrelevant alternatives. A generalization is the nested multinomial logit model, relaxing this strong assurnp tion. Viewing both models as nonlinear regression models a set of diagnostics is derived. This includes a hat matrix, measures of leverage, influence and residuals and an approximation to the parameters for case deletion. In an example for the multinomid logit model a good performance of these diagnostics is observed and the parameter approximation by the proposed formula is better than a one step Newton-Raphson procedure. In an example for the nested logit model a constructed outlier with high influence is revealed by the measures of leverage and residual, but the parameter approximation is insufficient.
OriginalspracheEnglisch
ErscheinungsortVienna
HerausgeberDepartment of Statistics and Mathematics, WU Vienna University of Economics and Business
DOIs
PublikationsstatusVeröffentlicht - 1990

Publikationsreihe

ReiheForschungsberichte / Institut für Statistik
Nummer7

WU Working Paper Reihe

  • Forschungsberichte / Institut für Statistik

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