Abstract
AbstractDue to the lack of a replication‐based estimate for the experimental error variance, unreplicated orthogonal main‐effect plans (OMEPs) usually appear to be unsatisfactory in screening active factors, when there are certain interactions likely to be non‐negligible. In this study, partially replicated designs constructed through two‐level orthogonal arrays are recommended to compensate for this deficiency. A compound criterion called the extended minimum aberration (EMA) is proposed for choosing the twice‐replicated fractions. According to the EMA criterion, sufficient conditions for constructing the minimal two‐level OMEPs with partial replication are proposed, and a series of EMA designs with practical run‐sizes is provided for practical applications. The Canadian Journal of Statistics 42: 168–183; 2014 © 2014 Statistical Society of Canada
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