Optimal two-level choice designs for the main effects and specified interaction effects model

TL;DR

This paper develops universally optimal choice designs for various main effects and interaction effects models using combinatorial techniques and Hadamard matrices, assuming multinomial logit models with equally attractive options.

Contribution

It introduces new optimal choice design constructions for main effects and specified interaction effects models using combinatorial methods and Hadamard matrices.

Findings

Universal optimality of the proposed designs is established.

Designs are applicable under multinomial logit models with equally attractive options.

The methods extend existing choice experiment design theory.

Abstract

Choice designs for the main effects model, broader main effects model and main effects plus specified interaction effects model are discussed in this paper. Universally optimal choice designs are obtained for all of these models using Hadamard matrix and other combinatorial techniques. Choice experiments under the multinomial logit model for equally attractive options are assumed for finding universally optimal choice designs.