JSM 2005 Online Program

Abstract #304268

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:	140
Type:	Contributed
Date/Time:	Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor:	General Methodology
Abstract - #304268
Title:	Optimal Incomplete Designs with Three Blocks
Author(s):	Bo Jin*+
Companies:	Merck Research Laboratories
Address:	BL 3-2, 10 Sentry Parkway, Blue Bell, PA, 19422, United States
Keywords:	Incomplete designs ; Binary designs ; Type I-optimality ; A-optimality ; D-optimality ; E-optimality
Abstract:	Suppose there are v treatments to compare using n experimental units. The units are partitioned into b blocks of k units each (n=bk). A block design is an assignment of the v treatments to the bk units. Denote the class of all possible assignments as D(v,b,k). A design in D(v,b,k) is an incomplete design if v>k and is a binary design if no treatment occurs more than once in a block. Denote the class of all possible binary designs in D(v,b,k) as M(v,b,k). In this communication, we study the optimal incomplete designs when there are three blocks in experiments. It turns out that designs of a certain pattern are E- and Type-I-optimal in D(v,3,k), when k is equal to 2v/3. When k is not equal to 2v/3, optimality of a design in D(v,3,k) depends on functions of v and k. Among others, A-, D- and E-optimal incomplete designs are identified when k is not equal to 2v/3 in M(v,3,k).

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