On the optimality of orthogonal array plus one run plans

DOI10.1214/aos/1018031102zbMath0932.62083OpenAlexW2029694735MaRDI QIDQ1807178

Rahul Mukerjee

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1018031102

zbMATH Keywords

resolutiongeneralized criterion of type 1Kronecker calculusreal parametrization

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (9)

A₂-optimal designs: the nearly-balanced case ⋮ \(D\)-optimal asymmetric orthogonal array plus \(p\) run designs ⋮ A study of uniformity pattern for extended designs ⋮ Optimality results on orthogonal arrays plus \(p\) runs for \(s^m\) factorial experiments ⋮ Optimal partially replicated parallel-flats designs for \(2^{n_{1}}\times 3^{n_2}\) mixed factorial experiments ⋮ Optimal two-level regular designs with multi block variables ⋮ Further results on orthogonal array plus one run plans ⋮ Construction of minimum aberration blocked two-level regular factorial designs ⋮ Blocked two-level regular designs with general minimum lower order confounding

Cites Work

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• Optimality of some weighing and \(2^n\) fractional factorial designs
• Orthogonal arrays with variable numbers of symbols
• A calculus for factorial arrangements
• Search designs for estimating main effects and searching several two-factor interactions in general factorials
• On the existence of saturated and nearly saturated asymmetrical orthogonal arrays
• Universal Optimality of Fractional Factorial Plans Derivable Through Orthogonal Arrays

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