Optimal designs for asymmetrical factorial paired comparison experiments
作者:
Abdalla T. El-Helbawy,
Essam A. Ahmed,
Abdullah H. Alharbey,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1994)
卷期:
Volume 23,
issue 3
页码: 663-681
ISSN:0361-0918
年代: 1994
DOI:10.1080/03610919408813192
出版商: Marcel Dekker, Inc.
关键词: Bradley-Terry model;mixed factorial model;hypotheses on factorial effects;treatment contrasts;noncentrality parameter;A-D- and E-optimality
数据来源: Taylor
摘要:
Three forms of a general null hypothesis Ho on the factorial parameters of a general asymmetrical factorial paired comparison experiment are considered. A class of partially balanced designscorresponding to each form of H0is constructed and the A,D and ioptimal design, minimizing the trace, determinant and largest eigenvalue of a defined covariance matrix of related maximumlikelihoodestimators, in that class is determined. Moreover, the optimal design in each class maximizes the noncentrality parameter λ2of the asymptotic noncentral chi-square distribution of the likelihood ratiostatistic -2 log λ for testing Hounder defined local alternatives. These results apply directly to symmetrical factorial paired comparison experiments as special casesExamples are given forillustrating applications of the developed results
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