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Biometrika 1975 62(3):655-659; doi:10.1093/biomet/62.3.655
© 1975 by Biometrika Trust
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Maximum likelihood paired-comparison ranking and quadratic assignment

LAWRENCE HUBERT and JAMES SCHULTZ

Department of Educational Psychology, University of Wisconsin Madison

A connexion is identified between maximum likelihood paired-comparison ranking and the problem of quadratic assignment discussed in the operational research literature. This relationship immediately gives a set of computational techniques for obtaining the necessary rankings, and, in addition, provides a general framework for testing the reasonableness of particular object sequencings suggested a priori.

Key Words: Mathematical programming • Maximum likelihood • Paired-comparison ranking • Permutation testa • Quadratic assignment


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