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Activity Number: 354 - Experimental Design and Reliability
Type: Contributed
Date/Time: Thursday, August 12, 2021 : 10:00 AM to 11:50 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract #317868
Title: On the Role of Minimum Variances in Weighted Optimal Designs
Author(s): Katherine Allen-Moyer* and Jon Stallrich
Companies: North Carolina State University and North Carolina State
Keywords: Weighted Optimality; A-optimality; Factorial Experiment; Experimental Design

Weighted optimality criteria allow an experimenter to express hierarchical interest in minimizing variances of estimable functions through a concise weighting system. In this talk, we show how the estimable functions' minimum variances can significantly influence the construction and evaluation of weighted optimal designs. We give a new expression for the weighted A-criterion that involves these minimum variances and show how it helps guide weight selection. We then demonstrate a practical, exploratory approach to weighted design generation and evaluation with factorial experiments.

Authors who are presenting talks have a * after their name.

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