Bradley–Terry model

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A model, proposed by Bradley and Terry in 1952, that describes the probability that one treatment is preferred to another. An experiment compares t treatments, two at a time. When two treatments (j and k, say) are compared, the outcome is a statement of which of the two is preferred. The model specifies that there are constants π1, π2,…, πt, with 0≤πs≤1, for all s, and , which are such that the probability that treatment j is preferred to treatment k is .

Subjects: Probability and Statistics.

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