The Annals of Statistics

On the optimality of orthogonal array plus one run plans

Rahul Mukerjee

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Abstract

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

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

Dates
First available in Project Euclid: 5 April 2002

Permanent link to this document
https://projecteuclid.org/euclid.aos/1018031102

Digital Object Identifier
doi:10.1214/aos/1018031102

Mathematical Reviews number (MathSciNet)
MR1701102

Zentralblatt MATH identifier
0932.62083

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

Keywords
Generalized criterion of type 1 Kronecker calculus real parametrization resolution

Citation

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. https://projecteuclid.org/euclid.aos/1018031102.


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References

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