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D- and E-optimal blocked main effects plans with unequal block sizes when n is odd

Ganesh Dutta and Rita SahaRay

Statistics & Probability Letters, 2015, vol. 107, issue C, 37-43

Abstract: In this article experimental situations are considered where a main effects plan is to be used to study m two-level factors using n runs, partitioned into b blocks, ith block having size ki, where ∑i=1bki=n. For n odd, D- and E-optimal designs are characterized. Simple construction methods for these optimal designs are given.

Keywords: Design matrix; D-optimality; E-optimality; Hadamard matrix; Kronecker product (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.08.001

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