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Optimality results on orthogonal arrays plus p runs for s m factorial experiments

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Abstract

The optimality of designs obtained by adding p runs to an orthogonal array is studied for experiments involving m factors each at s levels. The optimality criterion used here, is the Type 1 criterion due to Cheng (1978) which is an extension of Kiefer (1975) universal optimality criterion. Unlike what happens with orthogonal array plus one run designs, the behavior of designs obtained via augmentation of an orthogonal array by p runs depends on the particular runs added.

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Authors and Affiliations

  1. Department of Urban-Regional Planning and Development Engineering, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Stavros A. Chatzopoulos

  2. Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Fotini Kolyva-Machera

  3. Department of Statistics, Visva-Bharati University, Santiniketan, India

    Kashinath Chatterjee

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  1. Stavros A. Chatzopoulos
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  2. Fotini Kolyva-Machera
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  3. Kashinath Chatterjee
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Correspondence to Kashinath Chatterjee.

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Chatzopoulos, S.A., Kolyva-Machera, F. & Chatterjee, K. Optimality results on orthogonal arrays plus p runs for s m factorial experiments. Metrika 73, 385–394 (2011). https://doi.org/10.1007/s00184-009-0284-x

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  • DOI: https://doi.org/10.1007/s00184-009-0284-x

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