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

Abstract

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.

Authors:
 [1];  [2]
  1. Acadia Univ., Wolfville, NS (Canada)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1291219
Report Number(s):
LA-UR-15-26601
Journal ID: ISSN 0748-8017
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Quality and Reliability Engineering International
Additional Journal Information:
Journal Name: Quality and Reliability Engineering International; Journal ID: ISSN 0748-8017
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; aliasing; Bayesian; fractional factorial; heredity; hierarchy; sparsity

Citation Formats

Chipman, Hugh A., and Hamada, Michael S. Using Bayesian variable selection to analyze regular resolution IV two-level fractional factorial designs. United States: N. p., 2016. Web. doi:10.1002/qre.2022.
Chipman, Hugh A., & Hamada, Michael S. Using Bayesian variable selection to analyze regular resolution IV two-level fractional factorial designs. United States. doi:10.1002/qre.2022.
Chipman, Hugh A., and Hamada, Michael S. Thu . "Using Bayesian variable selection to analyze regular resolution IV two-level fractional factorial designs". United States. doi:10.1002/qre.2022. https://www.osti.gov/servlets/purl/1291219.
@article{osti_1291219,
title = {Using Bayesian variable selection to analyze regular resolution IV two-level fractional factorial designs},
author = {Chipman, Hugh A. and Hamada, Michael S.},
abstractNote = {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.},
doi = {10.1002/qre.2022},
journal = {Quality and Reliability Engineering International},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {6}
}

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Works referenced in this record:

A Bayesian Variable-Selection Approach for Analyzing Designed Experiments With Complex Aliasing
journal, November 1997


Bayesian variable selection with related predictors
journal, March 1996

  • Chipman, Hugh
  • Canadian Journal of Statistics, Vol. 24, Issue 1
  • DOI: 10.2307/3315687

An Analysis for Unreplicated Fractional Factorials
journal, February 1986