[Optimal design in conjoint analysis] [Elektronische Ressource] / [Habib Jafari]

Contents1 INTRODUCTION 72 MODEL SPECIFICATION 112.1 Multinomial Logit Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112.1.1 The Generalized Extreme Value(GEV) . . . . . . . . . . . . . . . . . . . 142.1.2 Consistency with Random Utility Maximization (RUM) . . . . . . . . . . 162.1.3 Independence from Irrelevant Alternative (IIA) . . . . . . . . . . . . . . 172.1.4 Likelihood Function and Parameters Estimator . . . . . . . . . . . . . . 182.2 Nested Multinomial Logit Model (NMNL) . . . . . . . . . . . . . . . . . . . . . 192.2.1 Two-Level Nested MNL Model . . . . . . . . . . . . . . . . . . . . . . . 202.2.2 Three-Level MNL Model . . . . . . . . . . . . . . . . . . . . . . . 293 OPTIMAL DESIGN 353.1 The General Equivalence Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 373.2 Other Optimality Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403.3 The General Properties of D-Optimal Designs . . . . . . . . . . . . . . . . . . . 423.4 The Properties of Information Matrices . . . . . . . . . . . . . . . . . . . . . . . 433.5 Bayesian Optimal Design Theory . . . . . . . . . . . . . . . . . . . . . . . . . . 443.6 Support Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453.7 Optimal Design for Logit Models . . . . . . . . . . . . . . . . . . . . . . . . . . 473.7.1 Optimal Design in MNL Model . . . . . . . . . . . . . . . . . . . . . . . 563.7.2 Maximin E cient Designs . . . . .