The Annals of Statistics

On the optimality of orthogonal array plus one run plans

Rahul Mukerjee

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Much contrary to popular belief and even a published result, it is seen that orthogonal array plus one run plans are not necessarily optimal, within the relevant class, for general $s_1 \times \dots \times s_m$ factorials. A broad sufficient condition on $s_1,\dots, s_m$ ensuring the optimality of such plans has been worked out. This condition covers, in particular, all symmetric factorials and thus strengthens some previous results.

Article information

Ann. Statist., Volume 27, Number 1 (1999), 82-93.

First available in Project Euclid: 5 April 2002

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62K15: Factorial designs
Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares

Generalized criterion of type 1 Kronecker calculus real parametrization resolution


Mukerjee, Rahul. On the optimality of orthogonal array plus one run plans. Ann. Statist. 27 (1999), no. 1, 82--93. doi:10.1214/aos/1018031102.

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