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Abstract:
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Quantile regression models are useful for modeling the conditional quantile of the dependent variable. Recently, quantile regression models have also been applied to discrete choice data, where the dependent variable is binary or ordinal. Quantile regression is a non-parametric model. However, in the Bayesian approach, parameter estimation for quantile regression can be done via a parametric method, when the error terms of the model are assumed to follow, for example, the asymmetric Laplace distribution. This paper proposes the application of Bayesian quantile regression models to survey data from the Australian Election Study (AES). The binary and ordinal quantile regression models will be used for investigating the factors that influence voters' choice for certain political parties and their interest in politics. The main objectives are to investigate the differences in the coefficients estimates and model performance of the regressions at various quantile levels. Comparisons will also be made to binary and ordinal probit models.
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