Optimal designs for 2k choice experiments

被引：51

作者：

Burgess, L ^{[1
]}

Street, DJ ^{[1
]}

机构：

[1] Univ Technol Sydney, Dept Math Sci, Sydney, NSW 2007, Australia

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2003年 / 32卷 / 11期

基金：

澳大利亚研究理事会;

关键词：

paired comparisons; multiple comparisons; Bradley-Terry model; multinomial logit model; fractional factorial designs; orthogonal main effect plans;

D O I：

10.1081/STA-120024475

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article we establish the choice sets in the D-optimal design for a choice experiment for testing main effects and for testing main effects and two-factor interactions, when there are k attributes, each with two levels, for choice set size m. We also give a method to construct optimal and near-optimal designs with small numbers of choice sets.

引用

页码：2185 / 2206

页数：22

共 13 条

[1]

Bradley R. A., 1955, BIOMETRIKA, V42, P450

[2] RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS .1. THE METHOD OF PAIRED COMPARISONS [J].

BRADLEY, RA ;

TERRY, ME .

BIOMETRIKA, 1952, 39 (3-4) :324-345

[3] OPTIMAL-DESIGN RESULTS FOR 2N-FACTORIAL PAIRED COMPARISON EXPERIMENTS [J].

ELHELBAWY, AT ;

AHMED, EA .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (22) :2827-2845

[4] OPTIMAL DESIGNS FOR ASYMMETRICAL FACTORIAL PAIRED-COMPARISON EXPERIMENTS [J].

ELHELBAWY, AT ;

AHMED, EA ;

ALHARBEY, AH .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1994, 23 (03) :663-681

[5]

KUHFELD WF, 2000, MULTINOMIAL LOGIT DI

[6] Dissecting the random component of utility [J].

Louviere, J ;

Street, D ;

Carson, R ;

Ainslie, A ;

Deshazo, JR ;

Cameron, TA ;

Hensher, D ;

Kohn, R ;

Marley, T .

MARKETING LETTERS, 2002, 13 (03) :177-193

[7]

Louviere JJ, 2000, STATED CHOICE METHOD, DOI [10.1017/CBO9780511753831, DOI 10.1017/CBO9780511753831, 10.1017/cbo9780511753831]

[8]

Louviere JJ., 1996, COMP EXPT DESIGN STR

[9]

MOORE BS, 2001, COMMUNICATION

[10]

Pendergrass R. N., 1960, CONTRIBUTIONS PROBAB, P331

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