Authors
Caleb King (1), Peter Parker (2), Thomas Bzik (3)
Affiliations
(1) JMP Statistical Discovery
(2) NASA
(3) EMD Group
Journal
Journal of Quality Technology, Volume 54, Issue 1
Date Published
2022
Abstract
In design of experiments, setting exact replicates of factor settings enables estimation of pure-error; a model-independent estimate of experimental error useful in communicating inherent system noise and testing model lack-of-fit. Often in practice, the factor levels for replicates are precisely measured rather than precisely set, resulting in near-replicates. This can result in inflated estimates of pure-error due to uncompensated set-point variation. In this article, we review previous strategies for estimating pure-error from near-replicates and propose a simple alternative. We derive key analytical properties and investigate them via simulation. Finally, we illustrate the new approach with an application.
Citation
Caleb King, Thomas Bzik & Peter Parker (2022) Estimating pure-error from near replicates in design of experiments, Journal of Quality Technology, 54:1, 102-117, DOI: 10.1080/00224065.2021.1920347