JSM 2005 Online Program

Abstract #304281

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	452
Type:	Contributed
Date/Time:	Wednesday, August 10, 2005 : 2:00 PM to 3:50 PM
Sponsor:	IMS
Abstract - #304281
Title:	$\phi_p$-Optimal Designs for a Linear Log Contrast Model for Experiments with Mixtures
Author(s):	Miao-Kuan Huang*+ and Mong-Na L. Huang
Companies:	National Sun Yat-sen University and National Sun Yat-sen University
Address:	Department of Applied Mathematics, Kaohsiung, International, 804-24, Taiwan
Keywords:	$A$-optimality ; complete class ; $D$-optimality ; Loewner ordering
Abstract:	A mixture experiment is an experiment in which the $q$-ingredients are nonnegative and subject to the simplex restriction $\sum_{i=1}^q x_i=1$ on the $(q-1)$-dimensional probability simplex $S^{q-1}$. In this work, a complete class of designs under the Kiefer ordering for linear log contrast model with mixture experiment is presented. Based on the completeness result, $\phi_p$-optimal designs for some $p,-\infty < p \leq 0 $, including $D$- and $A$-optimality, are obtained where the eigenvalues of the design moment matrix are used. By using the approach presented here, it gives insights about how these $\phi_p$-optimal designs behave.

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