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New qualitative choice models incorporating individual and choice characteristics

Jean Peyhardi 1, *
* Corresponding author
1 VIRTUAL PLANTS - Modeling plant morphogenesis at different scales, from genes to phenotype
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, UMR AGAP - Amélioration génétique et adaptation des plantes méditerranéennes et tropicales
Abstract : In the econometric framework, multinomial and conditional logit models are the most usual regression models for qualitative choices. They differ by their parametrization while sharing the canonical link function. This link function can be decomposed into the reference ratio of probabilities and the logistic cumulative distribution function (cdf). We propose to conserve the reference ratio, appropriate for qualitative choices, but to select the cdf among an enlarged family containing the Student cdf for instance. These new qualitative choice models often outperform logit models in terms of likelihood and error rate of classification and stay easily interpretable. This is illustrated with a benchmark dataset of travel demand between Sydney and Melbourn.
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Jean Peyhardi. New qualitative choice models incorporating individual and choice characteristics. 30th International Workshop on Statistical Modelling (IWSM 2015), Statistical Modelling Society, Jul 2015, Linz, Austria. pp.319-323. ⟨hal-01242841⟩

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