Title
A Bayesian Perspective on the Analysis of Unreplicated Factorial Experiments Using Potential Outcomes.
Abstract
Unreplicated factorial designs have been widely used in scientific and industrial settings, when it is important to distinguish "active" or real factorial effects from "inactive" or noise factorial effects used to estimate residual or "error" terms. We propose a new approach to screen for active factorial effects from such experiments that uses the potential outcomes framework and is based on sequential posterior predictive model checks. One advantage of the proposed method is its ability to broaden the standard definition of active effects and to link their definition to the population of interest. Another important aspect of this approach is its conceptual connection to Fisherian randomization tests. Extensive simulation studies are conducted, which demonstrate the superiority of the proposed approach over existing ones in the situations considered.
Year
DOI
Venue
2016
10.1080/00401706.2015.1006337
TECHNOMETRICS
Keywords
DocType
Volume
Causal inference,Posterior predictive check,Randomization tests,Screening experiments
Journal
58.0
Issue
ISSN
Citations 
1.0
0040-1706
1
PageRank 
References 
Authors
0.39
2
3
Name
Order
Citations
PageRank
Valeria Espinosa110.39
Tirthankar Dasgupta27626.41
Donald B. Rubin341.88