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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 #318092
Title: A New Confidence Interval-Based Criterion for Screening Designs
Author(s): Michael McKibben* and Jon Stallrich
Companies: North Carolina State University Statistics Department and North Carolina State
Keywords: Screening; Design; Criterion; Confidence Interval; Sigma

Alphabetic Criteria, such as the D criterion, fail to take into account two key elements of screening experiments. First, as noted in Gilmour and Trinca, while alphabetic criteria minimize the variance of the effect estimate, they don’t take into account the variability of the estimate of sigma. Second, they fail to consider that in practice practitioners use individual confidence intervals to test for effects, first screening main effects, then later screening second order effects. Devoting more degrees of freedom to estimating the error both lowers the variability of sigma and the critical value of the t-statistic used to calculate the margin of error. A new criterion is proposed which corrects for these deficiencies.

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

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