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Title: Using Bayesian variable selection to analyze regular resolution IV two-level fractional factorial designs

Journal Article · · Quality and Reliability Engineering International
DOI:https://doi.org/10.1002/qre.2022· OSTI ID:1291219
 [1];  [2]
  1. Acadia Univ., Wolfville, NS (Canada)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
+ Show Author Affiliations

Regular two-level fractional factorial designs have complete aliasing in which the associated columns of multiple effects are identical. Here, we show how Bayesian variable selection can be used to analyze experiments that use such designs. In addition to sparsity and hierarchy, Bayesian variable selection naturally incorporates heredity . This prior information is used to identify the most likely combinations of active terms. We also demonstrate the method on simulated and real experiments.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1291219
Report Number(s):
LA-UR-15-26601
Journal Information:
Quality and Reliability Engineering International, Journal Name: Quality and Reliability Engineering International; ISSN 0748-8017
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (7)

A Bayesian Analysis of Unreplicated Two-Level Factorials Using Effects Sparsity, Hierarchy, and Heredity journal March 2011
Fast Model Search for Designed Experiments with Complex Aliasing book January 1998
A Bayesian Variable-Selection Approach for Analyzing Designed Experiments With Complex Aliasing journal November 1997
Bayesian variable selection with related predictors journal March 1996
Incorporating Prior Information in Optimal Design for Model Selection journal May 2007
An Analysis for Unreplicated Fractional Factorials journal February 1986
Analysis of Designed Experiments with Complex Aliasing journal July 1992

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Related Subjects

42 ENGINEERING
aliasing
Bayesian
fractional factorial
heredity
hierarchy
sparsity