论文标题
具有依赖公用事业的Probit选择模型的最佳设计
Optimal Design for Probit Choice Models with Dependent Utilities
论文作者
论文摘要
在本文中，我们根据多项式概率模型得出了用于离散选择实验的本地D-最佳设计。这些模型包括几个离散的解释变量以及定量变量。常用的多项式logit模型假设针对不同选择选项的独立实用程序。因此，此类多项式logit模型的D-最佳最佳设计可能包括选择集，例如，由所有离散属性相同但在定量变量中不同的替代方案组成。显然，这些设计不适合许多经验选择实验。可以证明，多项式概率模型的本地D-最佳设计也认为独立公用事业也包括非直觉选择集。但是，多项式概率模型的本地D-最佳设计允许依赖实用程序对于使用离散选择研究分析决策是合理的。
In this paper we derive locally D-optimal designs for discrete choice experiments based on multinomial probit models. These models include several discrete explanatory variables as well as a quantitative one. The commonly used multinomial logit model assumes independent utilities for different choice options. Thus, D-optimal optimal designs for such multinomial logit models may comprise choice sets, e.g., consisting of alternatives which are identical in all discrete attributes but different in the quantitative variable. Obviously such designs are not appropriate for many empirical choice experiments. It will be shown that locally D-optimal designs for multinomial probit models supposing independent utilities consist of counterintuitive choice sets as well. However, locally D-optimal designs for multinomial probit models allowing for dependent utilities turn out to be reasonable for analyzing decisions using discrete choice studies.
